
Time bar (total: 12.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 8 |
| 18.8% | 18.7% | 81.1% | 0.1% | 0% | 0% | 0% | 9 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 10 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 11 |
| 23.4% | 23.4% | 76.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 10 computations (9.1% saved)
| 2.3s | 5 863× | 1 | valid |
| 219.0ms | 2 393× | 0 | valid |
ival-sin: 370.0ms (33.8% of total)ival-cos: 300.0ms (27.4% of total)adjust: 140.0ms (12.8% of total)ival-add: 105.0ms (9.6% of total)ival-mult: 99.0ms (9% of total)ival-div: 69.0ms (6.3% of total)ival-true: 7.0ms (0.6% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 69 | 118 | (3.211663759162216e-271 3.398153748341824e+95 -3.6721920295496686e-216) | 0 | - | (cos.f64 (+.f64 a b)) |
| 0 | 0 | - | 0 | - | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 0 | 0 | - | 0 | - | (+.f64 a b) |
| 0 | 0 | - | 0 | - | (sin.f64 b) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | r |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
cos.f64 | (cos.f64 (+.f64 a b)) | sensitivity | 187 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 69 | 0 |
| - | 118 | 69 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 69 | 0 | 0 |
| - | 118 | 0 | 69 |
| number | freq |
|---|---|
| 0 | 69 |
| 1 | 187 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 71.0ms | 352× | 1 | valid |
| 14.0ms | 160× | 0 | valid |
Compiled 97 to 36 computations (62.9% saved)
ival-mult: 16.0ms (26.4% of total)ival-cos: 16.0ms (26.4% of total)ival-sin: 12.0ms (19.8% of total)adjust: 6.0ms (9.9% of total)ival-add: 5.0ms (8.2% of total)ival-div: 4.0ms (6.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 88 |
| 1 | 89 | 84 |
| 2 | 178 | 84 |
| 3 | 431 | 84 |
| 4 | 1079 | 84 |
| 5 | 2510 | 84 |
| 6 | 3268 | 84 |
| 7 | 3664 | 84 |
| 8 | 4244 | 84 |
| 9 | 4620 | 84 |
| 10 | 4632 | 84 |
| 11 | 4636 | 84 |
| 12 | 4636 | 84 |
| 13 | 4676 | 84 |
| 14 | 4692 | 84 |
| 15 | 4692 | 84 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 17 | 9 |
| 2 | 19 | 9 |
| 3 | 21 | 9 |
| 4 | 22 | 9 |
| 0 | 22 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(negabs r)
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 76.3% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 (+.f64 a b)) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 0 | 13 | 28 |
| 1 | 17 | 28 |
| 2 | 19 | 28 |
| 3 | 21 | 28 |
| 4 | 22 | 28 |
| 0 | 22 | 28 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
r |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
r |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (sin.f64 b) | |
| accuracy | 0.16796875 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) | |
| accuracy | 0.28515625 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) | |
| accuracy | 15.10240379473532 | (cos.f64 (+.f64 a b)) |
| 32.0ms | 176× | 1 | valid |
| 6.0ms | 80× | 0 | valid |
Compiled 58 to 18 computations (69% saved)
ival-cos: 8.0ms (29.9% of total)ival-sin: 7.0ms (26.1% of total)ival-add: 3.0ms (11.2% of total)adjust: 3.0ms (11.2% of total)ival-mult: 3.0ms (11.2% of total)ival-div: 2.0ms (7.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ()) |
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ()) |
#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (cos b) (taylor 0 a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (taylor 0 a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) (taylor 0 a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ b (cos a)) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt b (taylor 0 b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 1 (* -1/6 (pow b 2)))) (taylor 0 b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) (taylor 0 b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) (taylor 0 b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (cos a) (taylor 0 b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos a) (* -1 (* b (sin a)))) (taylor 0 b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor 0 b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) (taylor 0 b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (sin b) (taylor -inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (sin b) (taylor -inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (sin b) (taylor -inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (sin b) (taylor -inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | r | @ | 0 | ((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b))) |
| 3.0ms | b | @ | -inf | ((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b))) |
| 3.0ms | b | @ | 0 | ((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b))) |
| 2.0ms | a | @ | 0 | ((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b))) |
| 2.0ms | a | @ | inf | ((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 215 | 1226 |
| 1 | 660 | 1174 |
| 2 | 2060 | 1116 |
| 3 | 7691 | 1116 |
| 0 | 8271 | 1075 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
| Outputs |
|---|
(/ (* r (sin b)) (cos b)) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))) a)) a)) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))) a (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))) a)) a)) |
(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(fma.f64 (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 a b)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 a b)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 a b)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 a b)) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b)) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (sin.f64 a)) (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (/.f64 (sin.f64 a) (neg.f64 (cos.f64 a))))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) b)) b (/.f64 r (cos.f64 a))) b) |
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (cos.f64 a)) (neg.f64 (sin.f64 a)) (*.f64 (sin.f64 a) (/.f64 #s(literal -1/3 binary64) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (cos.f64 a))) b) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)) b (cos.f64 a)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 22 |
| 0 | 13 | 22 |
| 1 | 44 | 22 |
| 2 | 234 | 22 |
| 3 | 1985 | 22 |
| 0 | 10212 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
(cos.f64 (+.f64 a b)) |
| Outputs |
|---|
#<batchref> |
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Compiled 4 670 to 761 computations (83.7% saved)
32 alts after pruning (32 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 223 | 32 | 255 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 224 | 32 | 256 |
| Status | Accuracy | Program |
|---|---|---|
| 76.2% | (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) | |
| 76.3% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) | |
| 76.2% | (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| 75.8% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) | |
| 75.8% | (*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64))) | |
| 76.2% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) | |
| 76.3% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| 76.2% | (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) | |
| 76.2% | (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) | |
| 39.7% | (*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| ▶ | 76.2% | (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
| 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| ▶ | 99.6% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
| 99.5% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))))) | |
| 76.2% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))))) | |
| 99.5% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) | |
| 76.2% | (*.f64 r (/.f64 (sin.f64 b) (*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (pow.f64 (cos.f64 (-.f64 b a)) #s(literal -1 binary64))))) | |
| 54.3% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) | |
| 57.9% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))) | |
| 55.1% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) | |
| 58.4% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) | |
| 60.3% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) | |
| 57.3% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) | |
| ▶ | 53.2% | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) |
| 76.2% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) | |
| 76.2% | (*.f64 r (*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| 76.2% | (*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))) | |
| 76.2% | (*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) | |
| ▶ | 53.4% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) |
| ▶ | 53.6% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
| 37.0% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) | |
| 60.3% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
Compiled 940 to 726 computations (22.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) | |
| cost-diff | 0 | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) | |
| cost-diff | 6464 | (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) | |
| cost-diff | 0 | (cos.f64 (+.f64 a b)) | |
| cost-diff | 0 | (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) | |
| cost-diff | 12928 | (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) | |
| cost-diff | 0 | #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) | |
| cost-diff | 0 | (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) | |
| cost-diff | 0 | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) | |
| cost-diff | 0 | (cos.f64 a) | |
| cost-diff | 0 | (/.f64 b (cos.f64 a)) | |
| cost-diff | 0 | #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) | |
| cost-diff | 0 | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) | |
| cost-diff | 0 | (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 320 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) | |
| cost-diff | 6016 | (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 292 |
| 0 | 70 | 292 |
| 1 | 104 | 292 |
| 2 | 152 | 286 |
| 3 | 232 | 284 |
| 4 | 370 | 281 |
| 5 | 505 | 281 |
| 6 | 762 | 281 |
| 7 | 1161 | 281 |
| 8 | 1948 | 277 |
| 9 | 3592 | 277 |
| 10 | 4697 | 277 |
| 11 | 5116 | 277 |
| 12 | 5484 | 277 |
| 13 | 5863 | 277 |
| 14 | 6010 | 277 |
| 15 | 6917 | 277 |
| 16 | 7506 | 277 |
| 17 | 7752 | 277 |
| 18 | 7816 | 277 |
| 19 | 7928 | 277 |
| 20 | 7940 | 277 |
| 0 | 8018 | 274 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(cos.f64 b) |
(cos.f64 a) |
a |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(neg.f64 (sin.f64 b)) |
(sin.f64 a) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
r |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) |
(/.f64 b (cos.f64 a)) |
b |
(cos.f64 a) |
a |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) |
r |
(/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) |
#s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(pow.f64 b #s(literal 3 binary64)) |
b |
#s(literal 3 binary64) |
#s(literal -1/6 binary64) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
r |
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
b |
#s(literal -1 binary64) |
(pow.f64 (sin.f64 b) #s(literal -1 binary64)) |
(sin.f64 b) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) |
r |
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) |
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) |
(*.f64 b b) |
b |
(/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(sin.f64 a) |
a |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(cos.f64 a) |
#s(literal 2 binary64) |
(/.f64 b (cos.f64 a)) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
(/.f64 r (fma.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (cos.f64 b) (neg.f64 (sin.f64 a)))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (cos.f64 b) (neg.f64 (sin.f64 a)))) |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(cos.f64 b) |
(cos.f64 a) |
a |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(neg.f64 (sin.f64 b)) |
(sin.f64 a) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) |
r |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) |
(/.f64 b (cos.f64 a)) |
b |
(cos.f64 a) |
a |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b))) |
r |
(/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)) (cos.f64 (+.f64 a b))) |
#s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) |
#s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b) |
(pow.f64 b #s(literal 3 binary64)) |
b |
#s(literal 3 binary64) |
#s(literal -1/6 binary64) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
r |
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
b |
#s(literal -1 binary64) |
(pow.f64 (sin.f64 b) #s(literal -1 binary64)) |
(sin.f64 b) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (fma.f64 (/.f64 b (cos.f64 a)) (sin.f64 a) #s(literal 1 binary64)) (/.f64 b (cos.f64 a)))) r) |
r |
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) |
#s(approx (/ (sin b) (cos (+ a b))) (*.f64 (fma.f64 (/.f64 b (cos.f64 a)) (sin.f64 a) #s(literal 1 binary64)) (/.f64 b (cos.f64 a)))) |
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) |
(*.f64 (fma.f64 (/.f64 b (cos.f64 a)) (sin.f64 a) #s(literal 1 binary64)) (/.f64 b (cos.f64 a))) |
(*.f64 b b) |
b |
(/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(sin.f64 a) |
a |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(cos.f64 a) |
#s(literal 2 binary64) |
(/.f64 b (cos.f64 a)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.17578125 | (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) | |
| accuracy | 0.29916000976844204 | (pow.f64 (cos.f64 a) #s(literal 2 binary64)) | |
| accuracy | 4.272964341668935 | (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) | |
| accuracy | 29.91844801118547 | #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) | |
| accuracy | 0.1484375 | (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) | |
| accuracy | 0.16796875 | (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) | |
| accuracy | 0.33041000976844204 | (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) | |
| accuracy | 15.10240379473532 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0.16796875 | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) | |
| accuracy | 0.28515625 | (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) | |
| accuracy | 15.10240379473532 | (cos.f64 (+.f64 a b)) | |
| accuracy | 29.792607223148202 | #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) | |
| accuracy | 0 | (cos.f64 a) | |
| accuracy | 0.15234375 | (/.f64 b (cos.f64 a)) | |
| accuracy | 0.16796875 | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) | |
| accuracy | 29.76684950477761 | #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) | |
| accuracy | 0.11851503907376808 | (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) | |
| accuracy | 0.16796875 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) | |
| accuracy | 0.171875 | (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) | |
| accuracy | 0.28515625 | (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
| 208.0ms | 174× | 1 | valid |
| 45.0ms | 82× | 0 | valid |
Compiled 494 to 72 computations (85.4% saved)
ival-pow: 67.0ms (34.8% of total)ival-mult: 34.0ms (17.6% of total)ival-cos: 25.0ms (13% of total)ival-sin: 23.0ms (11.9% of total)ival-div: 12.0ms (6.2% of total)adjust: 11.0ms (5.7% of total)ival-add: 7.0ms (3.6% of total)const: 6.0ms (3.1% of total)ival-pow2: 4.0ms (2.1% of total)ival-neg: 2.0ms (1% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ()) |
#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ()) |
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ()) |
#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ()) |
#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ()) |
#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ()) |
#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ()) |
#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ()) |
#s(alt #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (patch #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) (patch (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (patch (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (patch (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) (patch (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ()) |
#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ()) |
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (patch (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (cos b) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) (taylor 0 a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt b (taylor 0 a) (#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* 1/2 (* (pow a 2) b))) (taylor 0 a) (#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) (taylor 0 a) (#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) (taylor 0 a) (#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow a 2))) (taylor 0 a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) (taylor 0 a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) (taylor 0 a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) (taylor 0 a) (#s(alt (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) (taylor 0 a) (#s(alt (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (/ b (cos a)) (taylor -inf a) (#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (/ b (cos a)) (taylor -inf a) (#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (/ b (cos a)) (taylor -inf a) (#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (/ b (cos a)) (taylor -inf a) (#s(alt (/.f64 b (cos.f64 a)) (patch (/.f64 b (cos.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (cos a) (taylor -inf a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (cos a) (taylor -inf a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (cos a) (taylor -inf a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (cos a) (taylor -inf a) (#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (patch (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (patch (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (patch (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (patch (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) (patch (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (patch (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))) (taylor 0 b) (#s(alt (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (patch (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (cos a) (taylor 0 b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
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#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) (patch (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) (patch (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) (patch (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ b (cos a)) (taylor 0 b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) (taylor 0 b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) (taylor 0 b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ()) |
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#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (patch (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (patch (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (patch (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (patch (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (patch (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (patch (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (patch (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (patch (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (patch (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (patch (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (patch (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (patch (*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | a | @ | inf | ((/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (+ (* (pow b 3) -1/6) b) (/ (pow (cos (+ a b)) -1) (pow (sin b) -1)) (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (pow (cos (+ a b)) -1) (cos (+ a b)) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (* b b) (* (neg (sin b)) (sin a)) (pow (cos a) 2) (/ (sin a) (pow (cos a) 2))) |
| 8.0ms | b | @ | inf | ((/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (+ (* (pow b 3) -1/6) b) (/ (pow (cos (+ a b)) -1) (pow (sin b) -1)) (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (pow (cos (+ a b)) -1) (cos (+ a b)) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (* b b) (* (neg (sin b)) (sin a)) (pow (cos a) 2) (/ (sin a) (pow (cos a) 2))) |
| 6.0ms | a | @ | -inf | ((/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (+ (* (pow b 3) -1/6) b) (/ (pow (cos (+ a b)) -1) (pow (sin b) -1)) (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (pow (cos (+ a b)) -1) (cos (+ a b)) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (* b b) (* (neg (sin b)) (sin a)) (pow (cos a) 2) (/ (sin a) (pow (cos a) 2))) |
| 5.0ms | b | @ | -inf | ((/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (+ (* (pow b 3) -1/6) b) (/ (pow (cos (+ a b)) -1) (pow (sin b) -1)) (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (pow (cos (+ a b)) -1) (cos (+ a b)) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (* b b) (* (neg (sin b)) (sin a)) (pow (cos a) 2) (/ (sin a) (pow (cos a) 2))) |
| 3.0ms | a | @ | 0 | ((/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (+ (* (pow b 3) -1/6) b) (/ (pow (cos (+ a b)) -1) (pow (sin b) -1)) (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (pow (cos (+ a b)) -1) (cos (+ a b)) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (* b b) (* (neg (sin b)) (sin a)) (pow (cos a) 2) (/ (sin a) (pow (cos a) 2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 422 | 7407 |
| 1 | 1300 | 7031 |
| 2 | 4137 | 6940 |
| 0 | 8617 | 6692 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
b |
(+ b (* 1/2 (* (pow a 2) b))) |
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
1 |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ 1 (cos b)) |
(+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2))) |
(+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b))) |
(+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
b |
(+ b (* a (pow b 2))) |
(+ b (* a (+ (* 1/2 (* a b)) (pow b 2)))) |
(+ b (* a (+ (* a (- (* a (- (* -1/6 (pow b 2)) (* -1 (pow b 2)))) (* -1/2 b))) (pow b 2)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(* -1 (* a (sin b))) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
1 |
(+ 1 (* -1 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1))) |
a |
(* a (+ 1 (* 5/6 (pow a 2)))) |
(* a (+ 1 (* (pow a 2) (+ 5/6 (* 61/120 (pow a 2)))))) |
(* a (+ 1 (* (pow a 2) (+ 5/6 (* (pow a 2) (+ 61/120 (* 277/1008 (pow a 2)))))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(pow (cos a) 2) |
(pow (cos a) 2) |
(pow (cos a) 2) |
(pow (cos a) 2) |
(/ (sin a) (pow (cos a) 2)) |
(/ (sin a) (pow (cos a) 2)) |
(/ (sin a) (pow (cos a) 2)) |
(/ (sin a) (pow (cos a) 2)) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ 1 (cos (- b (* -1 a)))) |
(/ 1 (cos (- b (* -1 a)))) |
(/ 1 (cos (- b (* -1 a)))) |
(/ 1 (cos (- b (* -1 a)))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(pow (cos a) 2) |
(pow (cos a) 2) |
(pow (cos a) 2) |
(pow (cos a) 2) |
(/ (sin a) (pow (cos a) 2)) |
(/ (sin a) (pow (cos a) 2)) |
(/ (sin a) (pow (cos a) 2)) |
(/ (sin a) (pow (cos a) 2)) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ 1 (cos a)) |
(+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))) |
(+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))) |
(+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(* -1/6 (pow b 3)) |
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6)) |
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6)) |
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6)) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(/ (* (pow b 2) (sin a)) (pow (cos a) 2)) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(* -1/6 (pow b 3)) |
(* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2))))) |
(* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2))))) |
(* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2))))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ 1 (cos (- a (* -1 b)))) |
(/ 1 (cos (- a (* -1 b)))) |
(/ 1 (cos (- a (* -1 b)))) |
(/ 1 (cos (- a (* -1 b)))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(/ (* (pow b 2) (sin a)) (pow (cos a) 2)) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
| Outputs |
|---|
(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (*.f64 r a) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (*.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (*.f64 r #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b)))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (*.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (sin.f64 b)) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (*.f64 r a) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (*.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
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(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
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b |
(+ b (* 1/2 (* (pow a 2) b))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b) |
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(fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow a 2))) |
(fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
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(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
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(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
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(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
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(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (*.f64 r a) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
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(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (*.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
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(/ 1 (cos b)) |
(/.f64 #s(literal 1 binary64) (cos.f64 b)) |
(+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2))) |
(fma.f64 (sin.f64 b) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 b))) |
(+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 b))) a (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (cos.f64 b))) |
(+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 b) (/.f64 #s(literal 1/2 binary64) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (neg.f64 (cos.f64 b)))) (+.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 b)))) a (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (cos.f64 b))) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (sin.f64 b)) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
b |
(+ b (* a (pow b 2))) |
(fma.f64 (*.f64 b b) a b) |
(+ b (* a (+ (* 1/2 (* a b)) (pow b 2)))) |
(fma.f64 (*.f64 b (fma.f64 #s(literal 1/2 binary64) a b)) a b) |
(+ b (* a (+ (* a (- (* a (- (* -1/6 (pow b 2)) (* -1 (pow b 2)))) (* -1/2 b))) (pow b 2)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 #s(literal 5/6 binary64) (*.f64 b b)) a)) a (*.f64 b b)) a b) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (*.f64 r a) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (*.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
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(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
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1 |
#s(literal 1 binary64) |
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a |
(* a (+ 1 (* 5/6 (pow a 2)))) |
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(* a (+ 1 (* (pow a 2) (+ 5/6 (* (pow a 2) (+ 61/120 (* 277/1008 (pow a 2)))))))) |
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(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
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(pow (cos a) 2) |
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(cos (- b (* -1 a))) |
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(cos (- b (* -1 a))) |
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(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(pow (cos a) 2) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(pow (cos a) 2) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(pow (cos a) 2) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(pow (cos a) 2) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(/ (sin a) (pow (cos a) 2)) |
(/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(/ (sin a) (pow (cos a) 2)) |
(/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(/ (sin a) (pow (cos a) 2)) |
(/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(/ (sin a) (pow (cos a) 2)) |
(/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
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(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
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b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
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(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b) |
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(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
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(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) b (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
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(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) b (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (neg.f64 (sin.f64 a)) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
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(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b) |
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(/ 1 (cos a)) |
(/.f64 #s(literal 1 binary64) (cos.f64 a)) |
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(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
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(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
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(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
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(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b) |
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(/ b (cos a)) |
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(pow b 2) |
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(sin b) |
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(sin b) |
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(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
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(/ b (cos a)) |
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(/ b (cos a)) |
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(cos (+ a b)) |
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(cos (+ a b)) |
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(cos (+ a b)) |
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(cos (+ a b)) |
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(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 237 |
| 0 | 70 | 250 |
| 1 | 220 | 208 |
| 2 | 1387 | 200 |
| 0 | 8531 | 200 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
(sin.f64 b) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) |
(/.f64 b (cos.f64 a)) |
(cos.f64 a) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) |
#s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) |
(cos.f64 (+.f64 a b)) |
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) |
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))) |
(*.f64 b b) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
| Outputs |
|---|
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Compiled 33 078 to 3 514 computations (89.4% saved)
57 alts after pruning (55 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 484 | 42 | 1 526 |
| Fresh | 14 | 13 | 27 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 501 | 57 | 1 558 |
| Status | Accuracy | Program |
|---|---|---|
| 76.3% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) | |
| 76.2% | (/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) | |
| 76.2% | (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| 75.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r)) | |
| 75.8% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) | |
| 76.2% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) | |
| 76.3% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| 76.2% | (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) | |
| 76.2% | (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) | |
| 53.4% | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))) r) | |
| 39.7% | (*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 99.4% | (*.f64 r (/.f64 (pow.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) | |
| 49.1% | (*.f64 r (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) | |
| 56.5% | (*.f64 r (/.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) | |
| 76.2% | (*.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) | |
| 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| ✓ | 99.6% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
| 65.2% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) | |
| 65.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b)))))) | |
| ▶ | 61.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
| 56.6% | (*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) | |
| 50.4% | (*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal -2 binary64)))) | |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))))) | |
| 76.2% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))))) | |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))) | |
| 54.3% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))))) | |
| 55.1% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) | |
| 58.4% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) | |
| 60.3% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))) | |
| ▶ | 57.3% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) |
| 48.0% | (*.f64 r (/.f64 (exp.f64 (log.f64 (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) | |
| 60.2% | (*.f64 r (/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) | |
| 57.2% | (*.f64 r (/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) | |
| 37.0% | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) | |
| 53.2% | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) | |
| 53.2% | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) | |
| ▶ | 53.1% | (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) |
| 76.2% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) | |
| 99.5% | (*.f64 r (*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))) | |
| 76.2% | (*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))) | |
| 53.1% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) | |
| ✓ | 53.6% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
| 36.9% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) | |
| 36.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) | |
| 36.9% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) | |
| 37.6% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) | |
| 53.5% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) | |
| 53.3% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a))))))) | |
| 53.6% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) | |
| 26.4% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) b)) #s(literal -1 binary64))))) | |
| 28.9% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b)))) | |
| 30.3% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b)))) | |
| ▶ | 35.3% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
| 37.0% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) | |
| 53.6% | #s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) | |
| 60.3% | #s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) | |
| ▶ | 99.6% | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) |
Compiled 1 751 to 1 335 computations (23.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) | |
| cost-diff | 0 | #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) | |
| cost-diff | 0 | (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b))) | |
| cost-diff | 0 | (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b))) | |
| cost-diff | 0 | #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 b b) a b) | |
| cost-diff | 0 | #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) | |
| cost-diff | 0 | #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) | |
| cost-diff | 0 | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) | |
| cost-diff | 0 | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 405 |
| 0 | 92 | 385 |
| 1 | 142 | 385 |
| 2 | 201 | 385 |
| 3 | 281 | 385 |
| 4 | 394 | 379 |
| 5 | 542 | 379 |
| 6 | 854 | 379 |
| 7 | 1146 | 379 |
| 8 | 1767 | 379 |
| 9 | 3274 | 379 |
| 10 | 4409 | 379 |
| 11 | 5381 | 379 |
| 12 | 5859 | 379 |
| 13 | 6647 | 379 |
| 14 | 7005 | 379 |
| 15 | 7084 | 379 |
| 0 | 8173 | 376 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(cos.f64 a) |
a |
(cos.f64 b) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(sin.f64 a) |
(neg.f64 (sin.f64 b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
r |
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) |
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) |
(fma.f64 (*.f64 b b) a b) |
(*.f64 b b) |
b |
a |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) |
r |
(/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) |
(sin.f64 b) |
b |
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) |
(cos.f64 a) |
a |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) |
r |
(/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b))) |
#s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b) |
#s(literal -1/6 binary64) |
(pow.f64 b #s(literal 3 binary64)) |
b |
#s(literal 3 binary64) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(cos.f64 b) |
#s(approx (cos a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(neg.f64 (sin.f64 b)) |
(sin.f64 a) |
a |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) r) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(cos.f64 a) |
a |
(cos.f64 b) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(sin.f64 a) |
(neg.f64 (sin.f64 b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) r) |
r |
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) |
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) |
(fma.f64 (*.f64 b b) a b) |
(*.f64 b b) |
b |
a |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) |
r |
(/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) |
(sin.f64 b) |
b |
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) |
(cos.f64 a) |
a |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) |
r |
(/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))) |
#s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) |
#s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
#s(literal -1/6 binary64) |
(pow.f64 b #s(literal 3 binary64)) |
b |
#s(literal 3 binary64) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(/.f64 (sin.f64 b) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(cos.f64 b) |
#s(approx (cos a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(neg.f64 (sin.f64 b)) |
(sin.f64 a) |
a |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.16796875 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) | |
| accuracy | 0.171875 | (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) | |
| accuracy | 0.28515625 | (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) | |
| accuracy | 30.1414458930149 | #s(approx (cos a) #s(literal 1 binary64)) | |
| accuracy | 0.28515625 | (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b))) | |
| accuracy | 0.3698662409597484 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)) | |
| accuracy | 15.10240379473532 | (cos.f64 (+.f64 a b)) | |
| accuracy | 29.792607223148202 | #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) | |
| accuracy | 0.00390625 | (sin.f64 b) | |
| accuracy | 0.16796875 | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) | |
| accuracy | 0.28515625 | (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) | |
| accuracy | 27.47077608760112 | #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) | |
| accuracy | 0.16796875 | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) | |
| accuracy | 5.444621504272362 | (fma.f64 (*.f64 b b) a b) | |
| accuracy | 28.754187955687023 | #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) | |
| accuracy | 29.91844801118547 | #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) | |
| accuracy | 0.11851503907376808 | (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) | |
| accuracy | 0.1484375 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.171875 | (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) | |
| accuracy | 0.19921875 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
| 243.0ms | 176× | 1 | valid |
| 26.0ms | 80× | 0 | valid |
Compiled 570 to 78 computations (86.3% saved)
const: 46.0ms (22.8% of total)ival-cos: 29.0ms (14.4% of total)ival-mult: 28.0ms (13.9% of total)ival-pow: 26.0ms (12.9% of total)adjust: 21.0ms (10.4% of total)ival-div: 19.0ms (9.4% of total)ival-sin: 15.0ms (7.4% of total)ival-add: 11.0ms (5.5% of total)ival-pow2: 4.0ms (2% of total)ival-neg: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ()) |
#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ()) |
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ()) |
#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) (patch #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 b b) a b) (patch (fma.f64 (*.f64 b b) a b) #<representation binary64>) () ()) |
#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (patch (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) (patch #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b))) #<representation binary64>) () ()) |
#s(alt (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b))) #<representation binary64>) () ()) |
#s(alt #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (patch #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) #<representation binary64>) () ()) |
#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (patch (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (patch (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ()) |
#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)) #<representation binary64>) () ()) |
#s(alt #s(approx (cos a) #s(literal 1 binary64)) (patch #s(approx (cos a) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (cos b) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (sin b))) (taylor 0 a) (#s(alt (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (patch (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) (taylor 0 a) (#s(alt (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (patch (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) (taylor 0 a) (#s(alt (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (patch (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) (taylor 0 a) (#s(alt (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (patch (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (cos b) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (patch (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (patch (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (patch (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (patch (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (cos b) (taylor 0 a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (taylor 0 a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) (taylor 0 a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 a) (#s(alt #s(approx (cos a) #s(literal 1 binary64)) (patch #s(approx (cos a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow a 2))) (taylor 0 a) (#s(alt #s(approx (cos a) #s(literal 1 binary64)) (patch #s(approx (cos a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) (taylor 0 a) (#s(alt #s(approx (cos a) #s(literal 1 binary64)) (patch #s(approx (cos a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) (taylor 0 a) (#s(alt #s(approx (cos a) #s(literal 1 binary64)) (patch #s(approx (cos a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (sin b))) (taylor 0 a) (#s(alt (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) (taylor 0 a) (#s(alt (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) (taylor 0 a) (#s(alt (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) (taylor 0 a) (#s(alt (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf a) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf a) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf a) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf a) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) (taylor inf a) (#s(alt #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) (patch #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) (taylor inf a) (#s(alt #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) (patch #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) (taylor inf a) (#s(alt #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) (patch #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) (taylor inf a) (#s(alt #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) (patch #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow b 2)) (taylor inf a) (#s(alt (fma.f64 (*.f64 b b) a b) (patch (fma.f64 (*.f64 b b) a b) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (/ b a) (pow b 2))) (taylor inf a) (#s(alt (fma.f64 (*.f64 b b) a b) (patch (fma.f64 (*.f64 b b) a b) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (/ b a) (pow b 2))) (taylor inf a) (#s(alt (fma.f64 (*.f64 b b) a b) (patch (fma.f64 (*.f64 b b) a b) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (/ b a) (pow b 2))) (taylor inf a) (#s(alt (fma.f64 (*.f64 b b) a b) (patch (fma.f64 (*.f64 b b) a b) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf a) (#s(alt (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (patch (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (sin a) (sin b))) (taylor -inf a) (#s(alt (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (patch (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf a) (#s(alt (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (patch (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf a) (#s(alt (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (patch (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf a) (#s(alt (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (patch (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ()) |
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#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (cos a) (taylor -inf a) (#s(alt #s(approx (cos a) #s(literal 1 binary64)) (patch #s(approx (cos a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cos a) (taylor -inf a) (#s(alt #s(approx (cos a) #s(literal 1 binary64)) (patch #s(approx (cos a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cos a) (taylor -inf a) (#s(alt #s(approx (cos a) #s(literal 1 binary64)) (patch #s(approx (cos a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (cos a) (taylor -inf a) (#s(alt #s(approx (cos a) #s(literal 1 binary64)) (patch #s(approx (cos a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sin a) (sin b))) (taylor -inf a) (#s(alt (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sin a) (sin b))) (taylor -inf a) (#s(alt (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sin a) (sin b))) (taylor -inf a) (#s(alt (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sin a) (sin b))) (taylor -inf a) (#s(alt (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (* b r) (taylor 0 b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ r (* -1/6 (* (pow b 2) r)))) (taylor 0 b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) (taylor 0 b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) (taylor 0 b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt b (taylor 0 b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 1 (* -1/6 (pow b 2)))) (taylor 0 b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) (taylor 0 b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) (taylor 0 b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ b (cos a)) (taylor 0 b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) (taylor 0 b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) (taylor 0 b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ b (cos a)) (taylor 0 b) (#s(alt #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) (patch #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) (patch #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) (patch #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) (patch #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) #<representation binary64>) () ())) ()) |
#s(alt b (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) a b) (patch (fma.f64 (*.f64 b b) a b) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 1 (* a b))) (taylor 0 b) (#s(alt (fma.f64 (*.f64 b b) a b) (patch (fma.f64 (*.f64 b b) a b) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* b (sin a))) (taylor 0 b) (#s(alt (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (patch (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) (taylor 0 b) (#s(alt (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (patch (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) (taylor 0 b) (#s(alt (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (patch (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) (taylor 0 b) (#s(alt (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (patch (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (cos a) (taylor 0 b) (#s(alt (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (patch (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos a) (* -1 (* b (sin a)))) (taylor 0 b) (#s(alt (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (patch (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) (taylor 0 b) (#s(alt (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (patch (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) (taylor 0 b) (#s(alt (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (patch (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (cos a) (taylor 0 b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos a) (* -1 (* b (sin a)))) (taylor 0 b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor 0 b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) (taylor 0 b) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 b) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* 1/6 (pow b 2))) b) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* (pow b 2) (+ 1/6 (* 1/36 (pow b 2))))) b) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 1/36 (* 1/216 (pow b 2))))))) b) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (sin a))) (taylor 0 b) (#s(alt (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) (taylor 0 b) (#s(alt (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) (taylor 0 b) (#s(alt (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) (taylor 0 b) (#s(alt (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (patch (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (sin b) (taylor inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow b 2) (sin a)) (pow (cos a) 2)) (taylor inf b) (#s(alt #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) (patch #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) (taylor inf b) (#s(alt #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) (patch #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) (taylor inf b) (#s(alt #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) (patch #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) (taylor inf b) (#s(alt #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) (patch #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow b 2)) (taylor inf b) (#s(alt (fma.f64 (*.f64 b b) a b) (patch (fma.f64 (*.f64 b b) a b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ a (/ 1 b))) (taylor inf b) (#s(alt (fma.f64 (*.f64 b b) a b) (patch (fma.f64 (*.f64 b b) a b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ a (/ 1 b))) (taylor inf b) (#s(alt (fma.f64 (*.f64 b b) a b) (patch (fma.f64 (*.f64 b b) a b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ a (/ 1 b))) (taylor inf b) (#s(alt (fma.f64 (*.f64 b b) a b) (patch (fma.f64 (*.f64 b b) a b) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (patch (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (patch (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) (patch (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | r | @ | inf | ((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (sin b)) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ 1 (/ 1 (+ (* -1/6 (pow b 3)) b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (sin a) (neg (sin b))) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos (+ a b)) (/ 1 (+ (* -1/6 (pow b 3)) b)) (cos a) (* (neg (sin b)) (sin a))) |
| 10.0ms | a | @ | -inf | ((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (sin b)) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ 1 (/ 1 (+ (* -1/6 (pow b 3)) b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (sin a) (neg (sin b))) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos (+ a b)) (/ 1 (+ (* -1/6 (pow b 3)) b)) (cos a) (* (neg (sin b)) (sin a))) |
| 4.0ms | b | @ | -inf | ((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (sin b)) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ 1 (/ 1 (+ (* -1/6 (pow b 3)) b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (sin a) (neg (sin b))) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos (+ a b)) (/ 1 (+ (* -1/6 (pow b 3)) b)) (cos a) (* (neg (sin b)) (sin a))) |
| 4.0ms | r | @ | -inf | ((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (sin b)) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ 1 (/ 1 (+ (* -1/6 (pow b 3)) b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (sin a) (neg (sin b))) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos (+ a b)) (/ 1 (+ (* -1/6 (pow b 3)) b)) (cos a) (* (neg (sin b)) (sin a))) |
| 4.0ms | b | @ | inf | ((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (sin b)) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ 1 (/ 1 (+ (* -1/6 (pow b 3)) b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (sin a) (neg (sin b))) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos (+ a b)) (/ 1 (+ (* -1/6 (pow b 3)) b)) (cos a) (* (neg (sin b)) (sin a))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 401 | 8978 |
| 1 | 1235 | 8462 |
| 2 | 3859 | 8374 |
| 0 | 8104 | 8090 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
b |
(+ b (* a (pow b 2))) |
(+ b (* a (+ (* 1/2 (* a b)) (pow b 2)))) |
(+ b (* a (+ (* a (- (* a (- (* -1/6 (pow b 2)) (* -1 (pow b 2)))) (* -1/2 b))) (pow b 2)))) |
b |
(+ b (* a (pow b 2))) |
(+ b (* a (pow b 2))) |
(+ b (* a (pow b 2))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(* -1 (* a (sin b))) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
1 |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(* -1 (* a (sin b))) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(* a (pow b 2)) |
(* a (+ (/ b a) (pow b 2))) |
(* a (+ (/ b a) (pow b 2))) |
(* a (+ (/ b a) (pow b 2))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(* a (pow b 2)) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (pow b 2))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (pow b 2))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (pow b 2))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
b |
(* b (+ 1 (* a b))) |
(* b (+ 1 (* a b))) |
(* b (+ 1 (* a b))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(/ 1 b) |
(/ (+ 1 (* 1/6 (pow b 2))) b) |
(/ (+ 1 (* (pow b 2) (+ 1/6 (* 1/36 (pow b 2))))) b) |
(/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 1/36 (* 1/216 (pow b 2))))))) b) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (* (pow b 2) (sin a)) (pow (cos a) 2)) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(* a (pow b 2)) |
(* (pow b 2) (+ a (/ 1 b))) |
(* (pow b 2) (+ a (/ 1 b))) |
(* (pow b 2) (+ a (/ 1 b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(* -1/6 (pow b 3)) |
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6)) |
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6)) |
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(/ -6 (pow b 3)) |
(* -1 (/ (+ 6 (* 36 (/ 1 (pow b 2)))) (pow b 3))) |
(/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow b 2)))) (pow b 2))) 6) (pow b 3)) |
(/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow b 2)))) (pow b 4))) (+ 6 (* 36 (/ 1 (pow b 2))))) (pow b 3)) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (* (pow b 2) (sin a)) (pow (cos a) 2)) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(* a (pow b 2)) |
(* (pow b 2) (+ a (/ 1 b))) |
(* (pow b 2) (+ a (/ 1 b))) |
(* (pow b 2) (+ a (/ 1 b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(* -1/6 (pow b 3)) |
(* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2))))) |
(* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2))))) |
(* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2))))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(/ -6 (pow b 3)) |
(* -1 (/ (+ 6 (* 36 (/ 1 (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ 6 (+ (* 36 (/ 1 (pow b 2))) (/ 216 (pow b 4)))) (pow b 3))) |
(* -1 (/ (+ 6 (+ (* 36 (/ 1 (pow b 2))) (+ (* 1296 (/ 1 (pow b 6))) (/ 216 (pow b 4))))) (pow b 3))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
| Outputs |
|---|
(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a)) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) r) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))) a)) a)) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a)) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) r) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))) a)) a)) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a)) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) r) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))) a)) a)) |
(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
b |
(+ b (* a (pow b 2))) |
(fma.f64 (*.f64 b b) a b) |
(+ b (* a (+ (* 1/2 (* a b)) (pow b 2)))) |
(fma.f64 (*.f64 b (fma.f64 #s(literal 1/2 binary64) a b)) a b) |
(+ b (* a (+ (* a (- (* a (- (* -1/6 (pow b 2)) (* -1 (pow b 2)))) (* -1/2 b))) (pow b 2)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 #s(literal 5/6 binary64) (*.f64 b b)) a)) a (*.f64 b b)) a b) |
b |
(+ b (* a (pow b 2))) |
(fma.f64 (*.f64 b b) a b) |
(+ b (* a (pow b 2))) |
(fma.f64 (*.f64 b b) a b) |
(+ b (* a (pow b 2))) |
(fma.f64 (*.f64 b b) a b) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a)) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) r) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))) a)) a)) |
(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (sin.f64 b)) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a)) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) r) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))) a)) a)) |
(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
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(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
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(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a)) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) r) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))) a)) a)) |
(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
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(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (sin.f64 b)) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(* -1 (* a (sin b))) |
(*.f64 (neg.f64 a) (sin.f64 b)) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(*.f64 (*.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal -1/120 binary64) (*.f64 a a) #s(literal 1/6 binary64))) (*.f64 a a) (neg.f64 (sin.f64 b))) a) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
(*.f64 (fma.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/5040 binary64) (*.f64 a a) #s(literal -1/120 binary64))))) a) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (sin.f64 b)) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (sin.f64 b)) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow a 2))) |
(fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(* -1 (* a (sin b))) |
(*.f64 (neg.f64 a) (sin.f64 b)) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(*.f64 (*.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal -1/120 binary64) (*.f64 a a) #s(literal 1/6 binary64))) (*.f64 a a) (neg.f64 (sin.f64 b))) a) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
(*.f64 (fma.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/5040 binary64) (*.f64 a a) #s(literal -1/120 binary64))))) a) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(* a (pow b 2)) |
(*.f64 (*.f64 b b) a) |
(* a (+ (/ b a) (pow b 2))) |
(*.f64 (fma.f64 b b (/.f64 b a)) a) |
(* a (+ (/ b a) (pow b 2))) |
(*.f64 (fma.f64 b b (/.f64 b a)) a) |
(* a (+ (/ b a) (pow b 2))) |
(*.f64 (fma.f64 b b (/.f64 b a)) a) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
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b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) b)) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
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(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) b (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (neg.f64 (sin.f64 a)) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
b |
(* b (+ 1 (* a b))) |
(fma.f64 (*.f64 b b) a b) |
(* b (+ 1 (* a b))) |
(fma.f64 (*.f64 b b) a b) |
(* b (+ 1 (* a b))) |
(fma.f64 (*.f64 b b) a b) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) b)) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) b (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (neg.f64 (sin.f64 a)) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) b)) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) b (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (neg.f64 (sin.f64 a)) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) b)) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) b (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (neg.f64 (sin.f64 a)) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(* -1 (* b (sin a))) |
(*.f64 (neg.f64 b) (sin.f64 a)) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64))) (*.f64 b b) (neg.f64 (sin.f64 a))) b) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(*.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/5040 binary64) (*.f64 b b) #s(literal -1/120 binary64))))) b) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ (+ 1 (* 1/6 (pow b 2))) b) |
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b) |
(/ (+ 1 (* (pow b 2) (+ 1/6 (* 1/36 (pow b 2))))) b) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b) |
(/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 1/36 (* 1/216 (pow b 2))))))) b) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 b b) #s(literal 1/36 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b) |
(* -1 (* b (sin a))) |
(*.f64 (neg.f64 b) (sin.f64 a)) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64))) (*.f64 b b) (neg.f64 (sin.f64 a))) b) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(*.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/5040 binary64) (*.f64 b b) #s(literal -1/120 binary64))))) b) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (* (pow b 2) (sin a)) (pow (cos a) 2)) |
(/.f64 (*.f64 (*.f64 (sin.f64 a) b) b) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(* a (pow b 2)) |
(*.f64 (*.f64 b b) a) |
(* (pow b 2) (+ a (/ 1 b))) |
(fma.f64 (*.f64 b b) a b) |
(* (pow b 2) (+ a (/ 1 b))) |
(fma.f64 (*.f64 b b) a b) |
(* (pow b 2) (+ a (/ 1 b))) |
(fma.f64 (*.f64 b b) a b) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(* -1/6 (pow b 3)) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6)) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6)) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6)) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(* -1 (* (sin a) (sin b))) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(/ -6 (pow b 3)) |
(/.f64 #s(literal -6 binary64) (pow.f64 b #s(literal 3 binary64))) |
(* -1 (/ (+ 6 (* 36 (/ 1 (pow b 2)))) (pow b 3))) |
(/.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64))) |
(/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow b 2)))) (pow b 2))) 6) (pow b 3)) |
(/.f64 (-.f64 #s(literal -6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 216 binary64) (*.f64 b b)) #s(literal 36 binary64)) b) b)) (pow.f64 b #s(literal 3 binary64))) |
(/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow b 2)))) (pow b 4))) (+ 6 (* 36 (/ 1 (pow b 2))))) (pow b 3)) |
(/.f64 (-.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 b b))) (/.f64 (+.f64 (/.f64 #s(literal 1296 binary64) (*.f64 b b)) #s(literal 216 binary64)) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 3 binary64))) |
(* -1 (* (sin a) (sin b))) |
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(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 349 |
| 0 | 92 | 336 |
| 1 | 316 | 280 |
| 2 | 1846 | 274 |
| 0 | 8910 | 271 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) |
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)) |
(fma.f64 (*.f64 b b) a b) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) |
(/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) |
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b))) |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b))) |
#s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) |
(fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(cos.f64 (+.f64 a b)) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)) |
#s(approx (cos a) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
| Outputs |
|---|
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Compiled 23 907 to 2 328 computations (90.3% saved)
71 alts after pruning (66 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 095 | 19 | 1 114 |
| Fresh | 3 | 47 | 50 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 100 | 71 | 1 171 |
| Status | Accuracy | Program |
|---|---|---|
| 57.3% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) | |
| 76.2% | (/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) | |
| 61.3% | (/.f64 r (/.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (sin.f64 b))) | |
| 76.2% | (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| 57.2% | (/.f64 r (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) (sin.f64 b))) | |
| 60.9% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (*.f64 (sin.f64 b) r))) | |
| 75.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r)) | |
| 75.8% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) | |
| 56.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) (*.f64 (sin.f64 b) r))) | |
| 76.2% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) | |
| 76.3% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| 57.2% | (*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) | |
| 76.2% | (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) | |
| 61.3% | (*.f64 (sin.f64 b) (/.f64 r (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) | |
| 57.3% | (*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) | |
| 57.2% | (*.f64 (sin.f64 b) (*.f64 (pow.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) #s(literal -1 binary64)) r)) | |
| 76.2% | (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) | |
| 53.4% | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))) r) | |
| 39.7% | (*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 99.4% | (*.f64 r (/.f64 (pow.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) | |
| 49.1% | (*.f64 r (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) | |
| 56.5% | (*.f64 r (/.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) | |
| 76.2% | (*.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) | |
| ▶ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
| 61.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))) | |
| ✓ | 99.6% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
| ▶ | 65.2% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) |
| 65.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b)))))) | |
| ✓ | 61.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
| 56.6% | (*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) | |
| 50.4% | (*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal -2 binary64)))) | |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))))) | |
| 76.2% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))))) | |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))) | |
| 54.3% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))))) | |
| 55.1% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) | |
| 58.4% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) | |
| 60.3% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))) | |
| ✓ | 57.3% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) |
| 48.0% | (*.f64 r (/.f64 (exp.f64 (log.f64 (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) | |
| 60.2% | (*.f64 r (/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) | |
| 37.0% | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) | |
| 53.2% | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) | |
| 53.2% | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) | |
| 54.1% | (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))) | |
| 53.6% | (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))) | |
| 76.3% | (*.f64 r (/.f64 #s(approx (sin b) (sin.f64 b)) (cos.f64 (+.f64 a b)))) | |
| 76.2% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) | |
| 99.5% | (*.f64 r (*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))) | |
| 76.2% | (*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))) | |
| 57.3% | (*.f64 r (*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))) | |
| ▶ | 53.1% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) |
| ✓ | 53.6% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
| 36.9% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) | |
| 36.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) | |
| 36.9% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) | |
| 37.6% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) | |
| 53.5% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) | |
| 53.3% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a))))))) | |
| 53.6% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) | |
| 28.9% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b)))) | |
| 30.3% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b)))) | |
| 35.2% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b)))) | |
| 34.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a))))) | |
| ▶ | 16.5% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) |
| 37.0% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) | |
| 53.6% | #s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) | |
| 60.3% | #s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) | |
| ✓ | 99.6% | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) |
| 99.5% | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) | |
| ▶ | 60.3% | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
Compiled 2 096 to 1 617 computations (22.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) | |
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))) | |
| cost-diff | 0 | #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))) | |
| cost-diff | 0 | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) | |
| cost-diff | 0 | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) | |
| cost-diff | 0 | #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)) | |
| cost-diff | 0 | #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))) | |
| cost-diff | 0 | #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) | |
| cost-diff | 0 | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) | |
| cost-diff | 0 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 463 |
| 0 | 92 | 459 |
| 1 | 142 | 459 |
| 2 | 191 | 459 |
| 3 | 250 | 459 |
| 4 | 316 | 453 |
| 5 | 373 | 453 |
| 6 | 601 | 453 |
| 7 | 1014 | 453 |
| 8 | 1671 | 453 |
| 9 | 3314 | 453 |
| 10 | 4099 | 453 |
| 11 | 4588 | 453 |
| 12 | 4861 | 453 |
| 13 | 5039 | 453 |
| 14 | 5102 | 453 |
| 15 | 5480 | 453 |
| 16 | 5654 | 453 |
| 17 | 5666 | 453 |
| 18 | 5688 | 453 |
| 19 | 5692 | 453 |
| 20 | 5692 | 453 |
| 21 | 5788 | 453 |
| 22 | 5966 | 453 |
| 23 | 6181 | 453 |
| 24 | 6261 | 453 |
| 25 | 6273 | 453 |
| 26 | 6285 | 453 |
| 27 | 6285 | 453 |
| 28 | 6285 | 453 |
| 0 | 6285 | 446 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) |
r |
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) |
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))) |
#s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)) |
(*.f64 (*.f64 b b) a) |
(*.f64 b b) |
b |
a |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)) |
(cos.f64 b) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) |
r |
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))) |
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))) |
(*.f64 b b) |
b |
(/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) |
(sin.f64 a) |
a |
#s(approx (pow (cos a) 2) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 b (cos.f64 a)) |
(cos.f64 a) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))) |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))) |
(cos.f64 b) |
(cos.f64 a) |
a |
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))) |
(*.f64 (neg.f64 b) (sin.f64 a)) |
(neg.f64 b) |
(sin.f64 a) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 b) |
(cos.f64 a) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) r) |
r |
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) |
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))) |
#s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)) |
(*.f64 (*.f64 b b) a) |
(*.f64 b b) |
b |
a |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)) |
(cos.f64 b) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 (/.f64 b #s(approx (pow (cos a) 2) #s(literal 1 binary64))) b) (sin.f64 a) (/.f64 b (cos.f64 a)))) r) |
r |
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))) |
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 (/.f64 b #s(approx (pow (cos a) 2) #s(literal 1 binary64))) b) (sin.f64 a) (/.f64 b (cos.f64 a)))) |
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))) |
(fma.f64 (*.f64 (/.f64 b #s(approx (pow (cos a) 2) #s(literal 1 binary64))) b) (sin.f64 a) (/.f64 b (cos.f64 a))) |
(*.f64 b b) |
b |
(/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) |
(sin.f64 a) |
a |
#s(approx (pow (cos a) 2) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 b (cos.f64 a)) |
(cos.f64 a) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))) |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))) |
(cos.f64 b) |
(cos.f64 a) |
a |
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))) |
(*.f64 (neg.f64 b) (sin.f64 a)) |
(neg.f64 b) |
(sin.f64 a) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12109375 | (*.f64 (neg.f64 b) (sin.f64 a)) | |
| accuracy | 0.16796875 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) | |
| accuracy | 0.28515625 | (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))) | |
| accuracy | 29.55461342873536 | #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))) | |
| accuracy | 0.17578125 | (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) | |
| accuracy | 4.272964341668935 | (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))) | |
| accuracy | 27.199441668010696 | #s(approx (pow (cos a) 2) #s(literal 1 binary64)) | |
| accuracy | 29.91844801118547 | #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))) | |
| accuracy | 0.00390625 | (cos.f64 b) | |
| accuracy | 0.1484375 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.19921875 | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) | |
| accuracy | 30.22598305599595 | #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)) | |
| accuracy | 7.712600102009226 | (*.f64 (*.f64 b b) a) | |
| accuracy | 28.754187955687023 | #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))) | |
| accuracy | 29.91844801118547 | #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) | |
| accuracy | 31.430116564676524 | #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)) | |
| accuracy | 0.0917650511575378 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) | |
| accuracy | 0.109375 | (*.f64 (cos.f64 b) (cos.f64 a)) | |
| accuracy | 0.16796875 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| accuracy | 0.28515625 | (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 256.0ms | 176× | 1 | valid |
| 24.0ms | 80× | 0 | valid |
Compiled 559 to 75 computations (86.6% saved)
ival-mult: 118.0ms (49.2% of total)ival-div: 42.0ms (17.5% of total)ival-cos: 25.0ms (10.4% of total)ival-sin: 24.0ms (10% of total)ival-add: 11.0ms (4.6% of total)adjust: 11.0ms (4.6% of total)ival-pow2: 4.0ms (1.7% of total)ival-neg: 4.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ()) |
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ()) |
#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))) (patch #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)) (patch #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)) #<representation binary64>) () ()) |
#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #<representation binary64>) () ()) |
#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ()) |
#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))) (patch (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ()) |
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ()) |
#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (cos.f64 b) (cos.f64 a)) (patch (*.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 b b) a) (patch (*.f64 (*.f64 b b) a) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)) (patch #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)) #<representation binary64>) () ()) |
#s(alt (cos.f64 b) (patch (cos.f64 b) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (cos a) 2) #s(literal 1 binary64)) (patch #s(approx (pow (cos a) 2) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (patch (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))) (patch #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 b) (sin.f64 a)) (patch (*.f64 (neg.f64 b) (sin.f64 a)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) (taylor 0 a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
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#s(alt (* a (pow b 2)) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) a) (patch (*.f64 (*.f64 b b) a) #<representation binary64>) () ())) ()) |
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#s(alt (pow (cos a) 2) (taylor inf a) (#s(alt #s(approx (pow (cos a) 2) #s(literal 1 binary64)) (patch #s(approx (pow (cos a) 2) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (pow (cos a) 2) (taylor inf a) (#s(alt #s(approx (pow (cos a) 2) #s(literal 1 binary64)) (patch #s(approx (pow (cos a) 2) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (sin a) (pow (cos a) 2)) (taylor inf a) (#s(alt (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (patch (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (sin a) (pow (cos a) 2)) (taylor inf a) (#s(alt (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (patch (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* b (sin a))) (taylor inf a) (#s(alt (*.f64 (neg.f64 b) (sin.f64 a)) (patch (*.f64 (neg.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf a) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))) (patch (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))) (patch (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))) (patch (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
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#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ()) |
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#s(alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) (taylor 0 b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) (taylor 0 b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ b (cos a)) (taylor 0 b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) (taylor 0 b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) (taylor 0 b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ b (cos a)) (taylor 0 b) (#s(alt #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))) (patch #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))) (patch #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))) (patch #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))) (patch #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))) #<representation binary64>) () ())) ()) |
#s(alt b (taylor 0 b) (#s(alt #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)) (patch #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)) #<representation binary64>) () ())) ()) |
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#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) (taylor 0 b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
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#s(alt (* r (sin b)) (taylor inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow b 2) (sin a)) (pow (cos a) 2)) (taylor inf b) (#s(alt (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))) (patch (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) (taylor inf b) (#s(alt (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))) (patch (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) (taylor inf b) (#s(alt (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))) (patch (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) (taylor inf b) (#s(alt (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))) (patch (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor inf b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor inf b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor inf b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor inf b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))) (patch (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf b) (#s(alt (*.f64 (cos.f64 b) (cos.f64 a)) (patch (*.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf b) (#s(alt (*.f64 (cos.f64 b) (cos.f64 a)) (patch (*.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf b) (#s(alt (*.f64 (cos.f64 b) (cos.f64 a)) (patch (*.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf b) (#s(alt (*.f64 (cos.f64 b) (cos.f64 a)) (patch (*.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow b 2)) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) a) (patch (*.f64 (*.f64 b b) a) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow b 2)) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) a) (patch (*.f64 (*.f64 b b) a) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow b 2)) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) a) (patch (*.f64 (*.f64 b b) a) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow b 2)) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) a) (patch (*.f64 (*.f64 b b) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf b) (#s(alt #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)) (patch #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf b) (#s(alt #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)) (patch #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf b) (#s(alt #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)) (patch #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf b) (#s(alt #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)) (patch #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (cos b) (taylor inf b) (#s(alt (cos.f64 b) (patch (cos.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (cos b) (taylor inf b) (#s(alt (cos.f64 b) (patch (cos.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (cos b) (taylor inf b) (#s(alt (cos.f64 b) (patch (cos.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (cos b) (taylor inf b) (#s(alt (cos.f64 b) (patch (cos.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sin a) (sin b))) (taylor inf b) (#s(alt #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))) (patch #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sin a) (sin b))) (taylor inf b) (#s(alt #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))) (patch #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sin a) (sin b))) (taylor inf b) (#s(alt #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))) (patch #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sin a) (sin b))) (taylor inf b) (#s(alt #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))) (patch #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (sin a))) (taylor inf b) (#s(alt (*.f64 (neg.f64 b) (sin.f64 a)) (patch (*.f64 (neg.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (sin a))) (taylor inf b) (#s(alt (*.f64 (neg.f64 b) (sin.f64 a)) (patch (*.f64 (neg.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (sin a))) (taylor inf b) (#s(alt (*.f64 (neg.f64 b) (sin.f64 a)) (patch (*.f64 (neg.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (sin a))) (taylor inf b) (#s(alt (*.f64 (neg.f64 b) (sin.f64 a)) (patch (*.f64 (neg.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf b) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor 0 r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (patch #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | b | @ | inf | ((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (sin b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (* b b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (cos b) (cos a)) (* (* b b) a) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos b) (pow (cos a) 2) (/ (sin a) (pow (cos a) 2)) (* (neg (sin b)) (sin a)) (* (neg b) (sin a))) |
| 9.0ms | r | @ | inf | ((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (sin b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (* b b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (cos b) (cos a)) (* (* b b) a) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos b) (pow (cos a) 2) (/ (sin a) (pow (cos a) 2)) (* (neg (sin b)) (sin a)) (* (neg b) (sin a))) |
| 4.0ms | a | @ | -inf | ((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (sin b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (* b b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (cos b) (cos a)) (* (* b b) a) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos b) (pow (cos a) 2) (/ (sin a) (pow (cos a) 2)) (* (neg (sin b)) (sin a)) (* (neg b) (sin a))) |
| 4.0ms | a | @ | inf | ((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (sin b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (* b b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (cos b) (cos a)) (* (* b b) a) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos b) (pow (cos a) 2) (/ (sin a) (pow (cos a) 2)) (* (neg (sin b)) (sin a)) (* (neg b) (sin a))) |
| 4.0ms | b | @ | -inf | ((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (sin b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (* b b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (cos b) (cos a)) (* (* b b) a) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos b) (pow (cos a) 2) (/ (sin a) (pow (cos a) 2)) (* (neg (sin b)) (sin a)) (* (neg b) (sin a))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 406 | 9297 |
| 1 | 1319 | 8785 |
| 2 | 4180 | 8689 |
| 0 | 8408 | 8385 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
b |
(+ b (* a (pow b 2))) |
(+ b (* a (+ (* 1/2 (* a b)) (pow b 2)))) |
(+ b (* a (+ (* a (- (* a (- (* -1/6 (pow b 2)) (* -1 (pow b 2)))) (* -1/2 b))) (pow b 2)))) |
b |
(+ b (* a (pow b 2))) |
(+ b (* a (pow b 2))) |
(+ b (* a (pow b 2))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
b |
(+ b (* a (pow b 2))) |
(+ b (* a (+ (* 1/2 (* a b)) (pow b 2)))) |
(+ b (* a (+ (* a (- (* a (- (* -1/6 (pow b 2)) (* -1 (pow b 2)))) (* -1/2 b))) (pow b 2)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(cos b) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
1 |
(+ 1 (* -1 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1))) |
a |
(* a (+ 1 (* 5/6 (pow a 2)))) |
(* a (+ 1 (* (pow a 2) (+ 5/6 (* 61/120 (pow a 2)))))) |
(* a (+ 1 (* (pow a 2) (+ 5/6 (* (pow a 2) (+ 61/120 (* 277/1008 (pow a 2)))))))) |
(* -1 (* a (sin b))) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
(* -1 (* a b)) |
(* a (+ (* -1 b) (* 1/6 (* (pow a 2) b)))) |
(* a (+ (* -1 b) (* (pow a 2) (+ (* -1/120 (* (pow a 2) b)) (* 1/6 b))))) |
(* a (+ (* -1 b) (* (pow a 2) (+ (* 1/6 b) (* (pow a 2) (+ (* -1/120 b) (* 1/5040 (* (pow a 2) b)))))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(* a (pow b 2)) |
(* a (+ (/ b a) (pow b 2))) |
(* a (+ (/ b a) (pow b 2))) |
(* a (+ (/ b a) (pow b 2))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(pow (cos a) 2) |
(pow (cos a) 2) |
(pow (cos a) 2) |
(pow (cos a) 2) |
(/ (sin a) (pow (cos a) 2)) |
(/ (sin a) (pow (cos a) 2)) |
(/ (sin a) (pow (cos a) 2)) |
(/ (sin a) (pow (cos a) 2)) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* b (sin a))) |
(* -1 (* b (sin a))) |
(* -1 (* b (sin a))) |
(* -1 (* b (sin a))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(* a (pow b 2)) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (pow b 2))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (pow b 2))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (pow b 2))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(pow (cos a) 2) |
(pow (cos a) 2) |
(pow (cos a) 2) |
(pow (cos a) 2) |
(/ (sin a) (pow (cos a) 2)) |
(/ (sin a) (pow (cos a) 2)) |
(/ (sin a) (pow (cos a) 2)) |
(/ (sin a) (pow (cos a) 2)) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* b (sin a))) |
(* -1 (* b (sin a))) |
(* -1 (* b (sin a))) |
(* -1 (* b (sin a))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
b |
(* b (+ 1 (* a b))) |
(* b (+ 1 (* a b))) |
(* b (+ 1 (* a b))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(cos a) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
1 |
(+ 1 (* -1/2 (pow b 2))) |
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2))) |
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2))) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(* -1 (* b (sin a))) |
(* -1 (* b (sin a))) |
(* -1 (* b (sin a))) |
(* -1 (* b (sin a))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (* (pow b 2) (sin a)) (pow (cos a) 2)) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(* a (pow b 2)) |
(* (pow b 2) (+ a (/ 1 b))) |
(* (pow b 2) (+ a (/ 1 b))) |
(* (pow b 2) (+ a (/ 1 b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (* (pow b 2) (sin a)) (pow (cos a) 2)) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(cos b) |
(cos b) |
(cos b) |
(cos b) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* b (sin a))) |
(* -1 (* b (sin a))) |
(* -1 (* b (sin a))) |
(* -1 (* b (sin a))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (* (pow b 2) (sin a)) (pow (cos a) 2)) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(* a (pow b 2)) |
(* (pow b 2) (+ a (/ 1 b))) |
(* (pow b 2) (+ a (/ 1 b))) |
(* (pow b 2) (+ a (/ 1 b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (* (pow b 2) (sin a)) (pow (cos a) 2)) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(* a (pow b 2)) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(cos b) |
(cos b) |
(cos b) |
(cos b) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* b (sin a))) |
(* -1 (* b (sin a))) |
(* -1 (* b (sin a))) |
(* -1 (* b (sin a))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
| Outputs |
|---|
(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
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(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
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(cos b) |
(cos.f64 b) |
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(/ (* r (sin b)) (cos b)) |
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(/ (sin b) (cos b)) |
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b |
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(fma.f64 (*.f64 b b) a b) |
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b |
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(fma.f64 (*.f64 b b) a b) |
(+ b (* a (pow b 2))) |
(fma.f64 (*.f64 b b) a b) |
(+ b (* a (pow b 2))) |
(fma.f64 (*.f64 b b) a b) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
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(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
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(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
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(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a)) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
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(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
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b |
(+ b (* a (pow b 2))) |
(fma.f64 (*.f64 b b) a b) |
(+ b (* a (+ (* 1/2 (* a b)) (pow b 2)))) |
(fma.f64 (*.f64 b (fma.f64 #s(literal 1/2 binary64) a b)) a b) |
(+ b (* a (+ (* a (- (* a (- (* -1/6 (pow b 2)) (* -1 (pow b 2)))) (* -1/2 b))) (pow b 2)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 #s(literal 5/6 binary64) (*.f64 b b)) a)) a (*.f64 b b)) a b) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a)) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) r) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))) a)) a)) |
(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b))) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (sin.f64 b)) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b)) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(fma.f64 (*.f64 (cos.f64 b) (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) (*.f64 a a) (cos.f64 b)) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (cos.f64 b) (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64))))) |
(* a (pow b 2)) |
(*.f64 (*.f64 b b) a) |
(* a (pow b 2)) |
(*.f64 (*.f64 b b) a) |
(* a (pow b 2)) |
(*.f64 (*.f64 b b) a) |
(* a (pow b 2)) |
(*.f64 (*.f64 b b) a) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (sin.f64 b)) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow a 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 a a)) |
(+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a a) #s(literal 1 binary64)) |
a |
(* a (+ 1 (* 5/6 (pow a 2)))) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 5/6 binary64) a) |
(* a (+ 1 (* (pow a 2) (+ 5/6 (* 61/120 (pow a 2)))))) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 61/120 binary64) (*.f64 a a) #s(literal 5/6 binary64)) a) |
(* a (+ 1 (* (pow a 2) (+ 5/6 (* (pow a 2) (+ 61/120 (* 277/1008 (pow a 2)))))))) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 277/1008 binary64) (*.f64 a a) #s(literal 61/120 binary64)) (*.f64 a a) #s(literal 5/6 binary64)) a) |
(* -1 (* a (sin b))) |
(*.f64 (neg.f64 a) (sin.f64 b)) |
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b))))) |
(*.f64 (*.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b)))))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal -1/120 binary64) (*.f64 a a) #s(literal 1/6 binary64))) (*.f64 a a) (neg.f64 (sin.f64 b))) a) |
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b))))))))) |
(*.f64 (fma.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/5040 binary64) (*.f64 a a) #s(literal -1/120 binary64))))) a) |
(* -1 (* a b)) |
(*.f64 (neg.f64 a) b) |
(* a (+ (* -1 b) (* 1/6 (* (pow a 2) b)))) |
(*.f64 (*.f64 b (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a) |
(* a (+ (* -1 b) (* (pow a 2) (+ (* -1/120 (* (pow a 2) b)) (* 1/6 b))))) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 b (fma.f64 #s(literal -1/120 binary64) (*.f64 a a) #s(literal 1/6 binary64))) (*.f64 (neg.f64 a) b)) |
(* a (+ (* -1 b) (* (pow a 2) (+ (* 1/6 b) (* (pow a 2) (+ (* -1/120 b) (* 1/5040 (* (pow a 2) b)))))))) |
(*.f64 (fma.f64 b (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (fma.f64 #s(literal 1/5040 binary64) (*.f64 a a) #s(literal -1/120 binary64))))) a) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(* a (pow b 2)) |
(*.f64 (*.f64 b b) a) |
(* a (+ (/ b a) (pow b 2))) |
(*.f64 (fma.f64 b b (/.f64 b a)) a) |
(* a (+ (/ b a) (pow b 2))) |
(*.f64 (fma.f64 b b (/.f64 b a)) a) |
(* a (+ (/ b a) (pow b 2))) |
(*.f64 (fma.f64 b b (/.f64 b a)) a) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
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(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) b (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
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b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)))) (neg.f64 b) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) b (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (neg.f64 (sin.f64 a)) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
b |
(* b (+ 1 (* a b))) |
(fma.f64 (*.f64 b b) a b) |
(* b (+ 1 (* a b))) |
(fma.f64 (*.f64 b b) a b) |
(* b (+ 1 (* a b))) |
(fma.f64 (*.f64 b b) a b) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)))) (neg.f64 b) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)))) (neg.f64 b) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(* b r) |
(*.f64 b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 r (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))) b) b (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b r)) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)))) (neg.f64 b) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) b (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (neg.f64 (sin.f64 a)) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(/ (* b r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)))) (neg.f64 b) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b) |
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) b (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
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(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
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(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(cos a) |
(cos.f64 a) |
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(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(fma.f64 (*.f64 (cos.f64 a) (fma.f64 #s(literal 1/24 binary64) (*.f64 b b) #s(literal -1/2 binary64))) (*.f64 b b) (cos.f64 a)) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64))))) |
(* a (pow b 2)) |
(*.f64 (*.f64 b b) a) |
(* a (pow b 2)) |
(*.f64 (*.f64 b b) a) |
(* a (pow b 2)) |
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(* a (pow b 2)) |
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(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow b 2))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) |
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)) |
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)) |
(* -1 (* b (sin a))) |
(*.f64 (neg.f64 (sin.f64 a)) b) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal -1/120 binary64) b) b #s(literal 1/6 binary64))) (*.f64 b b) (neg.f64 (sin.f64 a))) b) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(*.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/5040 binary64) (*.f64 b b) #s(literal -1/120 binary64))))) b) |
(* -1 (* b (sin a))) |
(*.f64 (neg.f64 (sin.f64 a)) b) |
(* -1 (* b (sin a))) |
(*.f64 (neg.f64 (sin.f64 a)) b) |
(* -1 (* b (sin a))) |
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(* -1 (* b (sin a))) |
(*.f64 (neg.f64 (sin.f64 a)) b) |
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(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
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(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
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(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
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(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
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(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
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(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
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(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
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(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(sin b) |
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(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
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(/ (sin b) (cos (+ a b))) |
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(/ (sin b) (cos (+ a b))) |
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(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (* (pow b 2) (sin a)) (pow (cos a) 2)) |
(/.f64 (*.f64 (*.f64 (sin.f64 a) b) b) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(* a (pow b 2)) |
(*.f64 (*.f64 b b) a) |
(* (pow b 2) (+ a (/ 1 b))) |
(fma.f64 (*.f64 b b) a b) |
(* (pow b 2) (+ a (/ 1 b))) |
(fma.f64 (*.f64 b b) a b) |
(* (pow b 2) (+ a (/ 1 b))) |
(fma.f64 (*.f64 b b) a b) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(* r (sin b)) |
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
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(/ (sin b) (cos (+ a b))) |
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(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (* (pow b 2) (sin a)) (pow (cos a) 2)) |
(/.f64 (*.f64 (*.f64 (sin.f64 a) b) b) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))) |
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a))) |
(pow b 2) |
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(pow b 2) |
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(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
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(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
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(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
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(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
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(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
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(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
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(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 416 |
| 0 | 92 | 412 |
| 1 | 308 | 363 |
| 2 | 1928 | 357 |
| 0 | 8258 | 350 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(sin.f64 b) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) |
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) |
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))) |
#s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b))) |
(*.f64 r (sin.f64 b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) |
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a)))) |
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))) |
(*.f64 b b) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))))) |
(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(*.f64 (*.f64 b b) a) |
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)) |
(cos.f64 b) |
#s(approx (pow (cos a) 2) #s(literal 1 binary64)) |
(/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) |
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a))) |
(*.f64 (neg.f64 b) (sin.f64 a)) |
| Outputs |
|---|
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Compiled 21 980 to 2 182 computations (90.1% saved)
73 alts after pruning (64 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 057 | 18 | 1 075 |
| Fresh | 15 | 46 | 61 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 073 | 73 | 1 146 |
| Status | Accuracy | Program |
|---|---|---|
| 57.3% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) | |
| 76.2% | (/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) | |
| 61.3% | (/.f64 r (/.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (sin.f64 b))) | |
| 76.2% | (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| 57.2% | (/.f64 r (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) (sin.f64 b))) | |
| 60.9% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (*.f64 (sin.f64 b) r))) | |
| 75.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r)) | |
| 56.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) (*.f64 (sin.f64 b) r))) | |
| 99.3% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) | |
| 99.4% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) | |
| 76.3% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| 76.3% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| 57.2% | (*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) | |
| 76.2% | (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) | |
| 65.2% | (*.f64 (sin.f64 b) (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) | |
| 61.3% | (*.f64 (sin.f64 b) (/.f64 r (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) | |
| 57.3% | (*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) | |
| 57.2% | (*.f64 (sin.f64 b) (*.f64 (pow.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) #s(literal -1 binary64)) r)) | |
| 76.2% | (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) | |
| 53.4% | (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))) r) | |
| 39.7% | (*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 99.4% | (*.f64 r (/.f64 (pow.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) | |
| 49.1% | (*.f64 r (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) | |
| 56.5% | (*.f64 r (/.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) | |
| 76.2% | (*.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) | |
| ✓ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
| 61.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) | |
| 58.8% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))) | |
| ✓ | 99.6% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
| 65.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b)))))) | |
| ✓ | 61.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
| 54.3% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64))) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) | |
| 56.6% | (*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) | |
| 50.4% | (*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal -2 binary64)))) | |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))))) | |
| 76.2% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))))) | |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))) | |
| 55.1% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))) | |
| 58.4% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) | |
| 60.3% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) | |
| ✓ | 57.3% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) |
| 48.0% | (*.f64 r (/.f64 (exp.f64 (log.f64 (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) | |
| 60.2% | (*.f64 r (/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) | |
| 53.2% | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) | |
| 54.1% | (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))) | |
| 53.6% | (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))) | |
| 76.2% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) | |
| 99.4% | (*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))) | |
| 76.2% | (*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))) | |
| 57.3% | (*.f64 r (*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))) | |
| ✓ | 53.1% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) |
| ✓ | 53.6% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
| 36.9% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) | |
| 36.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) | |
| 36.9% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) | |
| 37.6% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) | |
| 53.5% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) | |
| 53.6% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) | |
| 28.9% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b)))) | |
| 30.3% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b)))) | |
| 35.3% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) | |
| 34.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a))))) | |
| ✓ | 16.5% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) |
| 16.6% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b))))) | |
| 8.2% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) a))))) | |
| 53.6% | #s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) | |
| 60.3% | #s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) | |
| ✓ | 99.6% | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) |
| ✓ | 60.3% | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
| 38.1% | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)))))) | |
| 41.8% | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) | |
| 37.9% | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) | |
| 59.9% | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)) (*.f64 (sin.f64 b) r)))) |
Compiled 2 812 to 1 321 computations (53% saved)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) |
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) a))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) |
(*.f64 r (/.f64 #s(approx (sin b) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 r (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) (sin.f64 b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)) (*.f64 (sin.f64 b) r)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) (*.f64 (sin.f64 b) r))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(*.f64 r (*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) |
(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(*.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 b) (*.f64 (pow.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) #s(literal -1 binary64)) r)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) b)) #s(literal -1 binary64))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(*.f64 r (/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 r (/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))) r) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64))) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a))))))) |
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal -2 binary64)))) |
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) |
(*.f64 r (*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b)))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))) |
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) |
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 r (/.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (sin.f64 b))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (*.f64 (sin.f64 b) r))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 r (/.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (pow.f64 (cos.f64 (-.f64 b a)) #s(literal -1 binary64))))) |
(*.f64 r (/.f64 (exp.f64 (log.f64 (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
(*.f64 r (/.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
(*.f64 r (/.f64 (pow.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))))) |
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))))) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) |
5 calls:
| 66.0ms | r |
| 49.0ms | b |
| 34.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 32.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 29.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | r |
| 99.6% | 1 | a |
| 99.6% | 1 | b |
| 99.6% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 99.6% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) |
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) a))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) |
(*.f64 r (/.f64 #s(approx (sin b) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 r (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) (sin.f64 b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)) (*.f64 (sin.f64 b) r)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) (*.f64 (sin.f64 b) r))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(*.f64 r (*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64))) (/.f64 b (cos.f64 a))))) |
(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(*.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 b) (*.f64 (pow.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)) #s(literal -1 binary64)) r)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) b)) #s(literal -1 binary64))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) |
(*.f64 r (/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 r (/.f64 #s(approx (pow (cos (+ a b)) -1) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))) r) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64))) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a))))))) |
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal -2 binary64)))) |
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 r (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) |
(*.f64 r (*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b)))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))) |
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))))) |
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 r (/.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (sin.f64 b))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (*.f64 (sin.f64 b) r))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))))) |
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 r (/.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
5 calls:
| 49.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 33.0ms | r |
| 31.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 27.0ms | a |
| 26.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.3% | 1 | r |
| 76.3% | 1 | a |
| 76.3% | 1 | b |
| 76.3% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 76.3% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) |
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) a))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) |
(*.f64 r (/.f64 #s(approx (sin b) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
| Outputs |
|---|
(*.f64 r (/.f64 #s(approx (sin b) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
5 calls:
| 23.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 15.0ms | r |
| 14.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 12.0ms | b |
| 11.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.3% | 1 | r |
| 76.3% | 1 | a |
| 76.3% | 1 | b |
| 76.3% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 76.3% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) |
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) a))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
5 calls:
| 16.0ms | r |
| 12.0ms | a |
| 12.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 11.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 10.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.2% | 2 | r |
| 76.4% | 3 | a |
| 76.2% | 3 | b |
| 76.2% | 3 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 63.5% | 3 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) |
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) a))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) |
| Outputs |
|---|
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
1 calls:
| 11.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.4% | 3 | a |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) |
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) a))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
1 calls:
| 9.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.4% | 3 | a |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) |
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) a))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
3 calls:
| 17.0ms | b |
| 8.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 8.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.2% | 3 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 76.2% | 3 | b |
| 74.7% | 3 | a |
Compiled 9 to 13 computations (-44.4% saved)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) |
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) a))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
2 calls:
| 8.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.1% | 3 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 76.1% | 3 | b |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) |
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) a))))) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))) |
5 calls:
| 9.0ms | r |
| 9.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 7.0ms | b |
| 7.0ms | a |
| 7.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.1% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 54.1% | 1 | r |
| 54.1% | 1 | a |
| 56.2% | 2 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 57.8% | 3 | b |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) |
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) |
2 calls:
| 8.0ms | b |
| 7.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.8% | 3 | b |
| 57.7% | 3 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) |
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) |
#s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) |
2 calls:
| 6.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 6.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.7% | 3 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 57.7% | 3 | b |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) |
5 calls:
| 6.0ms | a |
| 5.0ms | r |
| 5.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 5.0ms | b |
| 5.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.8% | 1 | a |
| 41.8% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 41.8% | 1 | r |
| 41.8% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 41.8% | 1 | b |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
5 calls:
| 7.0ms | b |
| 5.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 5.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 5.0ms | r |
| 4.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.9% | 1 | b |
| 37.9% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 37.9% | 1 | r |
| 37.9% | 1 | a |
| 37.9% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (fma.f64 b b (/.f64 b a)) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 5/24 binary64))) (*.f64 a a) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))) |
| Outputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
5 calls:
| 4.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 4.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 4.0ms | b |
| 4.0ms | r |
| 4.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.6% | 1 | b |
| 37.6% | 1 | a |
| 37.6% | 1 | r |
| 37.6% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 37.6% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
| Outputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
5 calls:
| 4.0ms | a |
| 3.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 2.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 2.0ms | b |
| 2.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.3% | 1 | a |
| 35.3% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 35.3% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 35.3% | 1 | b |
| 35.3% | 1 | r |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b)))) |
| Outputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b)))) |
5 calls:
| 2.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 2.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 2.0ms | a |
| 2.0ms | r |
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.2% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 35.2% | 1 | b |
| 35.2% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 35.2% | 1 | a |
| 35.2% | 1 | r |
Compiled 19 to 24 computations (-26.3% saved)
Total -0.1b remaining (-0.1%)
Threshold costs -0.1b (-0.1%)
| Inputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))) |
| Outputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b))))) |
5 calls:
| 3.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 2.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 2.0ms | b |
| 2.0ms | r |
| 1.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 16.6% | 1 | b |
| 16.6% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 16.6% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 16.6% | 1 | a |
| 16.6% | 1 | r |
Compiled 19 to 24 computations (-26.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 2.10576655106659e-6 | 1.765191130211314e-5 |
| 29.0ms | -2.7509939828804884 | -3.1949594243661205e-22 |
| 23.0ms | 126× | 1 | valid |
| 9.0ms | 146× | 0 | valid |
Compiled 301 to 337 computations (-12% saved)
ival-cos: 8.0ms (33.3% of total)ival-sin: 6.0ms (25% of total)ival-mult: 3.0ms (12.5% of total)ival-add: 2.0ms (8.3% of total)ival-div: 2.0ms (8.3% of total)adjust: 2.0ms (8.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.10576655106659e-6 | 1.765191130211314e-5 |
| 1.0ms | -2.7509939828804884 | -3.1949594243661205e-22 |
Compiled 301 to 337 computations (-12% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.10576655106659e-6 | 1.765191130211314e-5 |
| 1.0ms | -2.7509939828804884 | -3.1949594243661205e-22 |
Compiled 301 to 337 computations (-12% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 6.61773901056524e-11 | 3.0817880928631293e-7 |
| 24.0ms | -96300.8592939602 | -3.6088594497592256e-7 |
| 20.0ms | 130× | 1 | valid |
| 10.0ms | 158× | 0 | valid |
Compiled 300 to 338 computations (-12.7% saved)
ival-cos: 8.0ms (36.8% of total)ival-sin: 3.0ms (13.8% of total)ival-mult: 3.0ms (13.8% of total)ival-add: 2.0ms (9.2% of total)ival-div: 2.0ms (9.2% of total)adjust: 2.0ms (9.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.61773901056524e-11 | 3.0817880928631293e-7 |
| 1.0ms | -96300.8592939602 | -3.6088594497592256e-7 |
Compiled 282 to 320 computations (-13.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.05254849906424767 | -1.5213578967923177e-19 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 1.3421349459573904e+33 | 3.15305402390787e+34 |
| 27.0ms | -96300.8592939602 | -3.6088594497592256e-7 |
| 36.0ms | 182× | 1 | valid |
| 7.0ms | 74× | 0 | valid |
Compiled 437 to 422 computations (3.4% saved)
ival-sin: 9.0ms (26% of total)ival-cos: 9.0ms (26% of total)ival-add: 8.0ms (23.2% of total)adjust: 3.0ms (8.7% of total)ival-mult: 3.0ms (8.7% of total)ival-div: 2.0ms (5.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 3.15305402390787e+34 | 1.0585730727469666e+36 |
| 14.0ms | -96300.8592939602 | -3.6088594497592256e-7 |
| 26.0ms | 149× | 1 | valid |
| 3.0ms | 27× | 0 | valid |
Compiled 284 to 337 computations (-18.7% saved)
ival-sin: 6.0ms (28.7% of total)ival-cos: 6.0ms (28.7% of total)adjust: 3.0ms (14.4% of total)ival-add: 2.0ms (9.6% of total)ival-mult: 2.0ms (9.6% of total)ival-div: 1.0ms (4.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 147 | 945 |
| 1 | 173 | 945 |
| 2 | 181 | 945 |
| 3 | 187 | 945 |
| 4 | 190 | 945 |
| 5 | 191 | 945 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 #s(approx (sin b) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(if (<=.f64 a #s(literal -7526271582073497/73786976294838206464 binary64)) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (if (<=.f64 a #s(literal 6198106008766409/590295810358705651712 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))))) |
(if (<=.f64 a #s(literal -7526271582073497/73786976294838206464 binary64)) (*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) (if (<=.f64 a #s(literal 6198106008766409/590295810358705651712 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))))) |
(if (<=.f64 a #s(literal -7526271582073497/73786976294838206464 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) (if (<=.f64 a #s(literal 6198106008766409/590295810358705651712 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))))) |
(if (<=.f64 b #s(literal -4722366482869645/147573952589676412928 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (if (<=.f64 b #s(literal 2833419889721787/9444732965739290427392 binary64)) #s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))))) |
(if (<=.f64 b #s(literal -4722366482869645/147573952589676412928 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 2833419889721787/9444732965739290427392 binary64)) #s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))) |
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b))))) |
(if (<=.f64 b #s(literal -3152519739159347/1125899906842624 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 1400000000000000039097473842544640 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))))) |
(if (<=.f64 b #s(literal -9/2 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 31999999999999998258407391585370112 binary64)) #s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b))))) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 #s(approx (sin b) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(approx (sin b) (sin.f64 b)) (cos.f64 (+.f64 a b))) r) |
(if (<=.f64 a #s(literal -7526271582073497/73786976294838206464 binary64)) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (if (<=.f64 a #s(literal 6198106008766409/590295810358705651712 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))))) |
(if (<=.f64 a #s(literal -7526271582073497/73786976294838206464 binary64)) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (if (<=.f64 a #s(literal 6198106008766409/590295810358705651712 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r))) |
(if (<=.f64 a #s(literal -7526271582073497/73786976294838206464 binary64)) (*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))) (if (<=.f64 a #s(literal 6198106008766409/590295810358705651712 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))))) |
(if (<=.f64 a #s(literal -7526271582073497/73786976294838206464 binary64)) (*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))) (sin.f64 b)) (if (<=.f64 a #s(literal 6198106008766409/590295810358705651712 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r))) |
(if (<=.f64 a #s(literal -7526271582073497/73786976294838206464 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) (if (<=.f64 a #s(literal 6198106008766409/590295810358705651712 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))))) |
(if (<=.f64 a #s(literal -7526271582073497/73786976294838206464 binary64)) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r) (if (<=.f64 a #s(literal 6198106008766409/590295810358705651712 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))) r))) |
(if (<=.f64 b #s(literal -4722366482869645/147573952589676412928 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (if (<=.f64 b #s(literal 2833419889721787/9444732965739290427392 binary64)) #s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))))) |
(if (<=.f64 b #s(literal -4722366482869645/147573952589676412928 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) (if (<=.f64 b #s(literal 2833419889721787/9444732965739290427392 binary64)) #s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))))) |
(if (<=.f64 b #s(literal -4722366482869645/147573952589676412928 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 2833419889721787/9444732965739290427392 binary64)) #s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))) |
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) (*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b))))) |
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) (*.f64 (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* -1/6 (pow b 3)) b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b))) r)) |
(if (<=.f64 b #s(literal -3152519739159347/1125899906842624 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 1400000000000000039097473842544640 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b)))) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))))) |
(if (<=.f64 b #s(literal -3152519739159347/1125899906842624 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 1400000000000000039097473842544640 binary64)) (*.f64 (/.f64 #s(approx (sin b) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b b)) (cos.f64 (+.f64 a b))) r) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))))) |
(if (<=.f64 b #s(literal -9/2 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 31999999999999998258407391585370112 binary64)) #s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))))) |
(if (<=.f64 b #s(literal -9/2 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 31999999999999998258407391585370112 binary64)) #s(approx (* r (/ (pow (cos (+ a b)) -1) (pow (sin b) -1))) (*.f64 (/.f64 r (cos.f64 a)) b)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(approx (cos b) #s(literal 1 binary64))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos.f64 b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) r) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) r) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))) r) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b))))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))) r) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 237 |
| 0 | 70 | 250 |
| 1 | 220 | 208 |
| 2 | 1387 | 200 |
| 0 | 8531 | 200 |
| 0 | 8 | 22 |
| 0 | 13 | 22 |
| 1 | 44 | 22 |
| 2 | 234 | 22 |
| 3 | 1985 | 22 |
| 0 | 10212 | 22 |
| 0 | 58 | 349 |
| 0 | 92 | 336 |
| 1 | 316 | 280 |
| 2 | 1846 | 274 |
| 0 | 8910 | 271 |
| 0 | 401 | 8978 |
| 1 | 1235 | 8462 |
| 2 | 3859 | 8374 |
| 0 | 8104 | 8090 |
| 0 | 422 | 7407 |
| 1 | 1300 | 7031 |
| 2 | 4137 | 6940 |
| 0 | 8617 | 6692 |
| 0 | 60 | 416 |
| 0 | 92 | 412 |
| 1 | 308 | 363 |
| 2 | 1928 | 357 |
| 0 | 8258 | 350 |
| 0 | 406 | 9297 |
| 1 | 1319 | 8785 |
| 2 | 4180 | 8689 |
| 0 | 8408 | 8385 |
| 0 | 215 | 1226 |
| 1 | 660 | 1174 |
| 2 | 2060 | 1116 |
| 3 | 7691 | 1116 |
| 0 | 8271 | 1075 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 216 to 782 computations (35.7% saved)
(negabs r)
Compiled 1 024 to 442 computations (56.8% saved)
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