
Time bar (total: 12.4s)
| 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)
| 2.2s | 5 842× | 1 | valid |
| 246.0ms | 2 414× | 0 | valid |
ival-cos: 521.0ms (39.5% of total)ival-sin: 350.0ms (26.5% of total)ival-add: 146.0ms (11.1% of total)adjust: 124.0ms (9.4% of total)ival-mult: 97.0ms (7.3% of total)ival-div: 73.0ms (5.5% of total)ival-true: 7.0ms (0.5% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 66 | 127 | (-36739627259676.414 3.6970025572064334e-35 3.0686950897324e+257) | 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 | 193 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 66 | 0 |
| - | 127 | 63 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 66 | 0 | 0 |
| - | 127 | 0 | 63 |
| number | freq |
|---|---|
| 0 | 63 |
| 1 | 193 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 88.0ms | 370× | 1 | valid |
| 10.0ms | 142× | 0 | valid |
Compiled 72 to 28 computations (61.1% saved)
ival-sin: 28.0ms (36.4% of total)ival-cos: 16.0ms (20.8% of total)adjust: 10.0ms (13% of total)ival-add: 9.0ms (11.7% of total)ival-div: 7.0ms (9.1% of total)ival-mult: 6.0ms (7.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 654× | times-frac |
| 520× | associate-*r* |
| 518× | unsub-neg |
| 466× | distribute-rgt-in |
| 464× | associate-*l* |
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 12 to 8 computations (33.3% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.4% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
Compiled 12 to 8 computations (33.3% 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)))) |
| 12× | lower-*.f32 |
| 10× | lower-*.f64 |
| 6× | *-commutative |
| 6× | lower-/.f32 |
| 4× | lower-/.f64 |
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 | (sin.f64 b) | |
| accuracy | 0.1796875 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) | |
| accuracy | 0.21712875976844204 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) | |
| accuracy | 14.377609951338261 | (cos.f64 (+.f64 a b)) |
| 36.0ms | 185× | 1 | valid |
| 5.0ms | 71× | 0 | valid |
Compiled 30 to 10 computations (66.7% saved)
ival-cos: 9.0ms (29.8% of total)ival-mult: 6.0ms (19.9% of total)ival-sin: 6.0ms (19.9% of total)ival-add: 4.0ms (13.3% of total)adjust: 3.0ms (9.9% of total)ival-div: 2.0ms (6.6% 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 | @ | 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))) |
| 1.0ms | a | @ | -inf | ((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b))) |
| 1× | egg-herbie |
| 9 408× | lower-fma.f64 |
| 9 408× | lower-fma.f32 |
| 5 356× | lower-*.f64 |
| 5 356× | lower-*.f32 |
| 2 876× | lower-+.f64 |
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 (neg.f64 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 (- (* 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 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) a (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (sin.f64 b) (cos.f64 b)))))) 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 (*.f64 (neg.f64 a) (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 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) a (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (sin.f64 b) (cos.f64 b))))))) 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)))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(*.f64 (fma.f64 (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)) (*.f64 b b) #s(literal 1 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))) |
| 6 400× | lower-*.f32 |
| 6 398× | lower-*.f64 |
| 4 812× | lower-/.f32 |
| 4 810× | lower-/.f64 |
| 3 770× | lower-fma.f64 |
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 |
|---|
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.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)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a))))) |
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))) (neg.f64 (sin.f64 b))) |
(*.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))) |
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 r (neg.f64 (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 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 #s(literal -1 binary64) r) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r #s(literal -1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 r) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b))))) |
(neg.f64 (*.f64 r (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) r)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
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(/.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 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)))))) |
(/.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))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))) |
(/.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))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)))) (-.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) |
(/.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a))))) |
(fma.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b)))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b)))))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(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 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(-.f64 (*.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (neg.f64 (*.f64 b (/.f64 b (-.f64 a b)))))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (neg.f64 (*.f64 b (/.f64 b (-.f64 a b))))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 b a)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a))))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)))))) |
(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(cos.f64 (/.f64 (neg.f64 (*.f64 (-.f64 a b) (+.f64 a b))) (-.f64 a b))) |
(cos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a))) (fma.f64 (-.f64 b a) b (*.f64 a a)))) |
(cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (neg.f64 (-.f64 a b)))) |
(cos.f64 (/.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) |
(cos.f64 (+.f64 a b)) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a))))) |
(+.f64 (*.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b))))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b)))))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) |
Compiled 4 900 to 741 computations (84.9% saved)
31 alts after pruning (31 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 224 | 31 | 255 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 225 | 31 | 256 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.3% | (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
| ▶ | 77.4% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
| 77.3% | (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| 76.9% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) | |
| 77.3% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) | |
| 77.4% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| 77.2% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 77.3% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r)) | |
| 77.3% | (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) | |
| 77.2% | (*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 77.0% | (*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a 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))))) |
| 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))) | |
| 98.7% | (*.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))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.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 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) | |
| 77.3% | (*.f64 r (/.f64 (sin.f64 b) (*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))) | |
| ▶ | 53.7% | (*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))) |
| 32.6% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))) | |
| 54.7% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a 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))))) | |
| 54.6% | (*.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))))) | |
| 54.2% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) | |
| 55.3% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))) | |
| 57.9% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) | |
| 56.7% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) | |
| 52.4% | (*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) | |
| 52.2% | (*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) | |
| 77.3% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) | |
| 77.3% | (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (sin.f64 b))) | |
| ▶ | 52.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
| 37.2% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) | |
| 57.8% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
Compiled 1 178 to 724 computations (38.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))) | |
| cost-diff | 192 | (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) | |
| cost-diff | 256 | (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))) | |
| cost-diff | 12800 | (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (+.f64 a b) | |
| cost-diff | 0 | (cos.f64 (+.f64 a b)) | |
| cost-diff | 0 | (/.f64 r (cos.f64 (+.f64 a b))) | |
| cost-diff | 1088 | (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| cost-diff | 0 | (cos.f64 (+.f64 a b)) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 (sin.f64 b) r) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 b) r) (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 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 320 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| cost-diff | 6016 | (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 2 708× | lower-*.f32 |
| 2 696× | lower-*.f64 |
| 2 408× | lower-fma.f32 |
| 2 406× | lower-fma.f64 |
| 1 748× | div-sub |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 222 |
| 0 | 59 | 210 |
| 1 | 91 | 203 |
| 2 | 142 | 201 |
| 3 | 209 | 201 |
| 4 | 281 | 201 |
| 5 | 350 | 201 |
| 6 | 526 | 201 |
| 7 | 777 | 201 |
| 8 | 1287 | 197 |
| 9 | 2136 | 197 |
| 10 | 2502 | 197 |
| 11 | 3317 | 197 |
| 12 | 4836 | 197 |
| 13 | 5238 | 197 |
| 14 | 5299 | 197 |
| 15 | 5330 | 197 |
| 16 | 5357 | 197 |
| 17 | 5372 | 197 |
| 18 | 5500 | 197 |
| 19 | 5820 | 197 |
| 20 | 5964 | 197 |
| 21 | 5996 | 197 |
| 22 | 5996 | 197 |
| 23 | 6538 | 197 |
| 24 | 6810 | 197 |
| 25 | 7050 | 197 |
| 26 | 7507 | 197 |
| 27 | 7692 | 197 |
| 28 | 7888 | 197 |
| 0 | 8052 | 197 |
| 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))))) |
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))) (/.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 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
b |
r |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
r |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
b |
(/.f64 #s(literal 1 binary64) (sin.f64 b)) |
#s(literal 1 binary64) |
(sin.f64 b) |
(*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))) |
r |
(/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))))) |
(sin.f64 b) |
b |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))) |
(neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))) |
(*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) |
(log.f64 (cos.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
#s(literal -1 binary64) |
| 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 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 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (neg.f64 (cos.f64 b)) (sin.f64 b)) (cos.f64 a) (sin.f64 a))) |
(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 a)) (sin.f64 b) (*.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))) (/.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 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
b |
r |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
r |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
b |
(/.f64 #s(literal 1 binary64) (sin.f64 b)) |
#s(literal 1 binary64) |
(sin.f64 b) |
(*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
r |
(/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
b |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))) |
(cos.f64 (+.f64 a b)) |
(neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))) |
(log.f64 (cos.f64 (+.f64 a b))) |
(*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) |
(neg.f64 (log.f64 (cos.f64 (+.f64 a b)))) |
(log.f64 (cos.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1015625 | (*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))) | |
| accuracy | 0.12337875976844201 | (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))))) | |
| accuracy | 6.091875880116032 | (cos.f64 (+.f64 a b)) | |
| accuracy | 11.71830994491345 | (log.f64 (cos.f64 (+.f64 a b))) | |
| accuracy | 0.07421875 | (/.f64 #s(literal 1 binary64) (sin.f64 b)) | |
| accuracy | 0.10546875 | (/.f64 r (cos.f64 (+.f64 a b))) | |
| accuracy | 0.19140625 | (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| accuracy | 6.091875880116032 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0 | (sin.f64 b) | |
| accuracy | 0.03515625 | (*.f64 (sin.f64 b) r) | |
| accuracy | 0.12337875976844201 | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) | |
| accuracy | 6.091875880116032 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0 | (cos.f64 a) | |
| accuracy | 0.04296875 | (/.f64 b (cos.f64 a)) | |
| accuracy | 0.1015625 | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) | |
| accuracy | 14.960527494021346 | #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) | |
| accuracy | 0.02734375 | (*.f64 (cos.f64 b) (cos.f64 a)) | |
| accuracy | 0.0390625 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) | |
| accuracy | 0.1015625 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| accuracy | 0.12337875976844201 | (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 76.0ms | 128× | 1 | valid |
| 59.0ms | 85× | 1 | invalid |
| 28.0ms | 21× | 2 | valid |
| 4.0ms | 13× | 0 | valid |
| 4.0ms | 9× | 0 | invalid |
Compiled 217 to 33 computations (84.8% saved)
ival-cos: 39.0ms (29% of total)ival-div: 29.0ms (21.6% of total)ival-mult: 18.0ms (13.4% of total)ival-sin: 14.0ms (10.4% of total)ival-log: 13.0ms (9.7% of total)adjust: 10.0ms (7.4% of total)ival-exp: 4.0ms (3% of total)ival-add: 4.0ms (3% of total)ival-neg: 3.0ms (2.2% 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 (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 (*.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.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))) (/.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 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<representation binary64>) () ()) |
#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (patch (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #<representation binary64>) () ()) |
#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ()) |
#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ()) |
#s(alt (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))) (patch (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))) (patch (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (cos.f64 b) (cos.f64 a)) (patch (*.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 b)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 b)) #<representation binary64>) () ()) |
#s(alt (log.f64 (cos.f64 (+.f64 a b))) (patch (log.f64 (cos.f64 (+.f64 a b))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))))) (patch (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (sin b) (cos b)) (taylor 0 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>) () ())) ()) |
#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 (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 (+ (* 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 (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 (+ (* 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 (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 (/ (* 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>) () ())) ()) |
#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 (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 (- (* 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 (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 (cos b) (taylor 0 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>) () ())) ()) |
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 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>) () ())) ()) |
#s(alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) (taylor 0 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>) () ())) ()) |
#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 (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 (/ (* 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 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 (sin.f64 b) r) (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 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (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 (/ 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 (+ a b))) (taylor inf a) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 (sin.f64 b) r) (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 (+ a b))) (taylor inf a) (#s(alt (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (patch (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (patch (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (patch (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ r (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ r (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
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#s(alt (/ r (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
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#s(alt (* a (+ 1 (/ b a))) (taylor inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) (taylor inf a) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))) #<representation binary64>) () ())) ()) |
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#s(alt (* (cos a) (cos b)) (taylor inf a) (#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 a) (#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 a) (#s(alt (*.f64 (cos.f64 b) (cos.f64 a)) (patch (*.f64 (cos.f64 b) (cos.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (log (cos (+ a b))) (taylor inf a) (#s(alt (log.f64 (cos.f64 (+.f64 a b))) (patch (log.f64 (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (log (cos (+ a b))) (taylor inf a) (#s(alt (log.f64 (cos.f64 (+.f64 a b))) (patch (log.f64 (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (log (cos (+ a b))) (taylor inf a) (#s(alt (log.f64 (cos.f64 (+.f64 a b))) (patch (log.f64 (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (log (cos (+ a b))) (taylor inf a) (#s(alt (log.f64 (cos.f64 (+.f64 a b))) (patch (log.f64 (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (exp (neg (* -1 (log (cos (+ a b))))))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))))) (patch (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (exp (neg (* -1 (log (cos (+ a b))))))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))))) (patch (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (exp (neg (* -1 (log (cos (+ a b))))))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))))) (patch (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (patch (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (patch (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (patch (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ r (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 r (cos.f64 (+.f64 a b))) (patch (/.f64 r (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) (taylor -inf r) (#s(alt (*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))) (patch (*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 55.0ms | a | @ | inf | ((/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (/ (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 (cos a)) (cos a) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (cos (+ a b)) (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (/ r (cos (+ a b))) (+ a b) (exp (neg (* (log (cos (+ a b))) -1))) (neg (* (log (cos (+ a b))) -1)) (* (log (cos (+ a b))) -1) (* r (/ (sin b) (exp (neg (* (log (cos (+ a b))) -1))))) (* (cos b) (cos a)) (/ 1 (sin b)) (log (cos (+ a b))) (/ (sin b) (exp (neg (* (log (cos (+ a b))) -1))))) |
| 41.0ms | b | @ | -inf | ((/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (/ (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 (cos a)) (cos a) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (cos (+ a b)) (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (/ r (cos (+ a b))) (+ a b) (exp (neg (* (log (cos (+ a b))) -1))) (neg (* (log (cos (+ a b))) -1)) (* (log (cos (+ a b))) -1) (* r (/ (sin b) (exp (neg (* (log (cos (+ a b))) -1))))) (* (cos b) (cos a)) (/ 1 (sin b)) (log (cos (+ a b))) (/ (sin b) (exp (neg (* (log (cos (+ a b))) -1))))) |
| 28.0ms | r | @ | 0 | ((/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (/ (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 (cos a)) (cos a) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (cos (+ a b)) (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (/ r (cos (+ a b))) (+ a b) (exp (neg (* (log (cos (+ a b))) -1))) (neg (* (log (cos (+ a b))) -1)) (* (log (cos (+ a b))) -1) (* r (/ (sin b) (exp (neg (* (log (cos (+ a b))) -1))))) (* (cos b) (cos a)) (/ 1 (sin b)) (log (cos (+ a b))) (/ (sin b) (exp (neg (* (log (cos (+ a b))) -1))))) |
| 20.0ms | b | @ | inf | ((/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (/ (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 (cos a)) (cos a) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (cos (+ a b)) (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (/ r (cos (+ a b))) (+ a b) (exp (neg (* (log (cos (+ a b))) -1))) (neg (* (log (cos (+ a b))) -1)) (* (log (cos (+ a b))) -1) (* r (/ (sin b) (exp (neg (* (log (cos (+ a b))) -1))))) (* (cos b) (cos a)) (/ 1 (sin b)) (log (cos (+ a b))) (/ (sin b) (exp (neg (* (log (cos (+ a b))) -1))))) |
| 19.0ms | a | @ | -inf | ((/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (/ (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 (cos a)) (cos a) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (cos (+ a b)) (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (/ r (cos (+ a b))) (+ a b) (exp (neg (* (log (cos (+ a b))) -1))) (neg (* (log (cos (+ a b))) -1)) (* (log (cos (+ a b))) -1) (* r (/ (sin b) (exp (neg (* (log (cos (+ a b))) -1))))) (* (cos b) (cos a)) (/ 1 (sin b)) (log (cos (+ a b))) (/ (sin b) (exp (neg (* (log (cos (+ a b))) -1))))) |
| 1× | egg-herbie |
| 9 798× | lower-fma.f64 |
| 9 798× | lower-fma.f32 |
| 8 074× | lower-*.f64 |
| 8 074× | lower-*.f32 |
| 3 750× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 723 | 8852 |
| 1 | 2433 | 8224 |
| 0 | 8357 | 7962 |
| 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))) |
(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 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 (cos b)) |
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
b |
(+ a b) |
(+ a b) |
(+ a b) |
(exp (neg (* -1 (log (cos b))))) |
(+ (exp (neg (* -1 (log (cos b))))) (* -1 (/ (* a (* (exp (neg (* -1 (log (cos b))))) (sin b))) (cos b)))) |
(+ (exp (neg (* -1 (log (cos b))))) (* a (+ (* -1 (/ (* (exp (neg (* -1 (log (cos b))))) (sin b)) (cos b))) (* a (* (exp (neg (* -1 (log (cos b))))) (+ (* 1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)) (* 1/2 (/ (pow (sin b) 2) (pow (cos b) 2))))))))) |
(+ (exp (neg (* -1 (log (cos b))))) (* a (+ (* -1 (/ (* (exp (neg (* -1 (log (cos b))))) (sin b)) (cos b))) (* a (+ (* a (* (exp (neg (* -1 (log (cos b))))) (+ (* -1/2 (/ (* (sin b) (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)) (cos b))) (+ (* -1/6 (/ (pow (sin b) 3) (pow (cos b) 3))) (* 1/6 (+ (* -3 (/ (sin b) (cos b))) (+ (* -2 (/ (pow (sin b) 3) (pow (cos b) 3))) (/ (sin b) (cos b))))))))) (* (exp (neg (* -1 (log (cos b))))) (+ (* 1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)) (* 1/2 (/ (pow (sin b) 2) (pow (cos b) 2)))))))))) |
(log (cos b)) |
(- (* -1 (/ (* a (sin b)) (cos b))) (* -1 (log (cos b)))) |
(- (* a (- (* 1/2 (* a (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1))) (/ (sin b) (cos b)))) (* -1 (log (cos b)))) |
(- (* a (- (* a (- (* 1/6 (* a (+ (* -3 (/ (sin b) (cos b))) (+ (* -2 (/ (pow (sin b) 3) (pow (cos b) 3))) (/ (sin b) (cos b)))))) (* -1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)))) (/ (sin b) (cos b)))) (* -1 (log (cos b)))) |
(* -1 (log (cos b))) |
(+ (* -1 (log (cos b))) (/ (* a (sin b)) (cos b))) |
(+ (* -1 (log (cos b))) (* a (+ (* -1/2 (* a (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1))) (/ (sin b) (cos b))))) |
(+ (* -1 (log (cos b))) (* a (+ (* a (+ (* -1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)) (* -1/6 (* a (+ (* -3 (/ (sin b) (cos b))) (+ (* -2 (/ (pow (sin b) 3) (pow (cos b) 3))) (/ (sin b) (cos b)))))))) (/ (sin b) (cos b))))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos b)))))) |
(+ (/ (* a (* r (pow (sin b) 2))) (* (cos b) (exp (neg (* -1 (log (cos b))))))) (/ (* r (sin b)) (exp (neg (* -1 (log (cos b))))))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (* (pow (cos b) 2) (exp (neg (* -1 (log (cos b)))))))) (/ (* r (* (sin b) (+ (* 1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)) (* 1/2 (/ (pow (sin b) 2) (pow (cos b) 2)))))) (exp (neg (* -1 (log (cos b))))))))) (* -1 (/ (* r (pow (sin b) 2)) (* (cos b) (exp (neg (* -1 (log (cos b)))))))))) (/ (* r (sin b)) (exp (neg (* -1 (log (cos b))))))) |
(+ (* a (- (* a (- (* -1 (* a (+ (/ (* r (* (sin b) (+ (* -1/2 (/ (* (sin b) (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)) (cos b))) (+ (* -1/6 (/ (pow (sin b) 3) (pow (cos b) 3))) (* 1/6 (+ (* -3 (/ (sin b) (cos b))) (+ (* -2 (/ (pow (sin b) 3) (pow (cos b) 3))) (/ (sin b) (cos b))))))))) (exp (neg (* -1 (log (cos b)))))) (+ (/ (* r (* (pow (sin b) 2) (+ (* 1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)) (* 1/2 (/ (pow (sin b) 2) (pow (cos b) 2)))))) (* (cos b) (exp (neg (* -1 (log (cos b))))))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (* (pow (cos b) 2) (exp (neg (* -1 (log (cos b)))))))) (/ (* r (* (sin b) (+ (* 1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)) (* 1/2 (/ (pow (sin b) 2) (pow (cos b) 2)))))) (exp (neg (* -1 (log (cos b)))))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (* (pow (cos b) 2) (exp (neg (* -1 (log (cos b)))))))) (/ (* r (* (sin b) (+ (* 1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)) (* 1/2 (/ (pow (sin b) 2) (pow (cos b) 2)))))) (exp (neg (* -1 (log (cos b))))))))) (* -1 (/ (* r (pow (sin b) 2)) (* (cos b) (exp (neg (* -1 (log (cos b)))))))))) (/ (* r (sin b)) (exp (neg (* -1 (log (cos 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))))))) |
(log (cos b)) |
(+ (log (cos b)) (* -1 (/ (* a (sin b)) (cos b)))) |
(+ (log (cos b)) (* a (+ (* -1 (/ (sin b) (cos b))) (* 1/2 (* a (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)))))) |
(+ (log (cos b)) (* a (+ (* -1 (/ (sin b) (cos b))) (* a (+ (* 1/6 (* a (+ (* -3 (/ (sin b) (cos b))) (+ (* -2 (/ (pow (sin b) 3) (pow (cos b) 3))) (/ (sin b) (cos b)))))) (* 1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1))))))) |
(/ (sin b) (exp (neg (* -1 (log (cos b)))))) |
(+ (/ (sin b) (exp (neg (* -1 (log (cos b)))))) (/ (* a (pow (sin b) 2)) (* (cos b) (exp (neg (* -1 (log (cos b)))))))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (* (pow (cos b) 2) (exp (neg (* -1 (log (cos b)))))))) (/ (* (sin b) (+ (* 1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)) (* 1/2 (/ (pow (sin b) 2) (pow (cos b) 2))))) (exp (neg (* -1 (log (cos b))))))))) (* -1 (/ (pow (sin b) 2) (* (cos b) (exp (neg (* -1 (log (cos b)))))))))) (/ (sin b) (exp (neg (* -1 (log (cos b))))))) |
(+ (* a (- (* a (- (* -1 (* a (+ (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (* (pow (cos b) 2) (exp (neg (* -1 (log (cos b)))))))) (/ (* (sin b) (+ (* 1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)) (* 1/2 (/ (pow (sin b) 2) (pow (cos b) 2))))) (exp (neg (* -1 (log (cos b)))))))) (cos b)) (+ (/ (* (sin b) (+ (* -1/2 (/ (* (sin b) (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)) (cos b))) (+ (* -1/6 (/ (pow (sin b) 3) (pow (cos b) 3))) (* 1/6 (+ (* -3 (/ (sin b) (cos b))) (+ (* -2 (/ (pow (sin b) 3) (pow (cos b) 3))) (/ (sin b) (cos b)))))))) (exp (neg (* -1 (log (cos b)))))) (/ (* (pow (sin b) 2) (+ (* 1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)) (* 1/2 (/ (pow (sin b) 2) (pow (cos b) 2))))) (* (cos b) (exp (neg (* -1 (log (cos b))))))))))) (+ (* -1 (/ (pow (sin b) 3) (* (pow (cos b) 2) (exp (neg (* -1 (log (cos b)))))))) (/ (* (sin b) (+ (* 1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)) (* 1/2 (/ (pow (sin b) 2) (pow (cos b) 2))))) (exp (neg (* -1 (log (cos b))))))))) (* -1 (/ (pow (sin b) 2) (* (cos b) (exp (neg (* -1 (log (cos b)))))))))) (/ (sin b) (exp (neg (* -1 (log (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)))) |
(/ (* 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))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a 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 (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
a |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
(exp (neg (* -1 (log (cos (+ a b)))))) |
(exp (neg (* -1 (log (cos (+ a b)))))) |
(exp (neg (* -1 (log (cos (+ a b)))))) |
(exp (neg (* -1 (log (cos (+ a b)))))) |
(log (cos (+ a b))) |
(log (cos (+ a b))) |
(log (cos (+ a b))) |
(log (cos (+ a b))) |
(* -1 (log (cos (+ a b)))) |
(* -1 (log (cos (+ a b)))) |
(* -1 (log (cos (+ a b)))) |
(* -1 (log (cos (+ a b)))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(log (cos (+ a b))) |
(log (cos (+ a b))) |
(log (cos (+ a b))) |
(log (cos (+ a b))) |
(/ (sin b) (exp (neg (* -1 (log (cos (+ a b))))))) |
(/ (sin b) (exp (neg (* -1 (log (cos (+ a b))))))) |
(/ (sin b) (exp (neg (* -1 (log (cos (+ a b))))))) |
(/ (sin b) (exp (neg (* -1 (log (cos (+ a 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)))) |
(+ (* -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)))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(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)))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
a |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(exp (neg (* -1 (log (cos (- b (* -1 a))))))) |
(exp (neg (* -1 (log (cos (- b (* -1 a))))))) |
(exp (neg (* -1 (log (cos (- b (* -1 a))))))) |
(exp (neg (* -1 (log (cos (- b (* -1 a))))))) |
(log (cos (- b (* -1 a)))) |
(log (cos (- b (* -1 a)))) |
(log (cos (- b (* -1 a)))) |
(log (cos (- b (* -1 a)))) |
(* -1 (log (cos (- b (* -1 a))))) |
(* -1 (log (cos (- b (* -1 a))))) |
(* -1 (log (cos (- b (* -1 a))))) |
(* -1 (log (cos (- b (* -1 a))))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (- b (* -1 a)))))))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (- b (* -1 a)))))))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (- b (* -1 a)))))))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (- b (* -1 a)))))))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(log (cos (- b (* -1 a)))) |
(log (cos (- b (* -1 a)))) |
(log (cos (- b (* -1 a)))) |
(log (cos (- b (* -1 a)))) |
(/ (sin b) (exp (neg (* -1 (log (cos (- b (* -1 a)))))))) |
(/ (sin b) (exp (neg (* -1 (log (cos (- b (* -1 a)))))))) |
(/ (sin b) (exp (neg (* -1 (log (cos (- b (* -1 a)))))))) |
(/ (sin b) (exp (neg (* -1 (log (cos (- b (* -1 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 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 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))))))) |
(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 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)))) |
(/ r (cos a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(+ (* b (- (* -1 (* b (+ (* -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 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (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))) |
a |
(+ a b) |
(+ a b) |
(+ a b) |
(exp (neg (* -1 (log (cos a))))) |
(+ (exp (neg (* -1 (log (cos a))))) (* -1 (/ (* b (* (exp (neg (* -1 (log (cos a))))) (sin a))) (cos a)))) |
(+ (exp (neg (* -1 (log (cos a))))) (* b (+ (* -1 (/ (* (exp (neg (* -1 (log (cos a))))) (sin a)) (cos a))) (* b (* (exp (neg (* -1 (log (cos a))))) (+ (* 1/2 (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1)) (* 1/2 (/ (pow (sin a) 2) (pow (cos a) 2))))))))) |
(+ (exp (neg (* -1 (log (cos a))))) (* b (+ (* -1 (/ (* (exp (neg (* -1 (log (cos a))))) (sin a)) (cos a))) (* b (+ (* b (* (exp (neg (* -1 (log (cos a))))) (+ (* -1/2 (/ (* (sin a) (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1)) (cos a))) (+ (* -1/6 (/ (pow (sin a) 3) (pow (cos a) 3))) (* 1/6 (+ (* -3 (/ (sin a) (cos a))) (+ (* -2 (/ (pow (sin a) 3) (pow (cos a) 3))) (/ (sin a) (cos a))))))))) (* (exp (neg (* -1 (log (cos a))))) (+ (* 1/2 (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1)) (* 1/2 (/ (pow (sin a) 2) (pow (cos a) 2)))))))))) |
(log (cos a)) |
(- (* -1 (/ (* b (sin a)) (cos a))) (* -1 (log (cos a)))) |
(- (* b (- (* 1/2 (* b (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1))) (/ (sin a) (cos a)))) (* -1 (log (cos a)))) |
(- (* b (- (* b (- (* 1/6 (* b (+ (* -3 (/ (sin a) (cos a))) (+ (* -2 (/ (pow (sin a) 3) (pow (cos a) 3))) (/ (sin a) (cos a)))))) (* -1/2 (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1)))) (/ (sin a) (cos a)))) (* -1 (log (cos a)))) |
(* -1 (log (cos a))) |
(+ (* -1 (log (cos a))) (/ (* b (sin a)) (cos a))) |
(+ (* -1 (log (cos a))) (* b (+ (* -1/2 (* b (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1))) (/ (sin a) (cos a))))) |
(+ (* -1 (log (cos a))) (* b (+ (* b (+ (* -1/2 (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1)) (* -1/6 (* b (+ (* -3 (/ (sin a) (cos a))) (+ (* -2 (/ (pow (sin a) 3) (pow (cos a) 3))) (/ (sin a) (cos a)))))))) (/ (sin a) (cos a))))) |
(/ (* b r) (exp (neg (* -1 (log (cos a)))))) |
(* b (+ (/ r (exp (neg (* -1 (log (cos a)))))) (/ (* b (* r (sin a))) (* (cos a) (exp (neg (* -1 (log (cos a))))))))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (exp (neg (* -1 (log (cos a))))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (* (pow (cos a) 2) (exp (neg (* -1 (log (cos a)))))))) (/ (* r (+ (* 1/2 (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1)) (* 1/2 (/ (pow (sin a) 2) (pow (cos a) 2))))) (exp (neg (* -1 (log (cos a))))))))) (* -1 (/ (* r (sin a)) (* (cos a) (exp (neg (* -1 (log (cos a)))))))))) (/ r (exp (neg (* -1 (log (cos a)))))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (exp (neg (* -1 (log (cos a))))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (* (pow (cos a) 2) (exp (neg (* -1 (log (cos a)))))))) (/ (* r (+ (* 1/2 (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1)) (* 1/2 (/ (pow (sin a) 2) (pow (cos a) 2))))) (exp (neg (* -1 (log (cos a))))))))) (cos a))) (+ (/ (* r (* (sin a) (+ (* 1/2 (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1)) (* 1/2 (/ (pow (sin a) 2) (pow (cos a) 2)))))) (* (cos a) (exp (neg (* -1 (log (cos a))))))) (/ (* r (+ (* -1/2 (/ (* (sin a) (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1)) (cos a))) (+ (* -1/6 (/ (pow (sin a) 3) (pow (cos a) 3))) (* 1/6 (+ (* -3 (/ (sin a) (cos a))) (+ (* -2 (/ (pow (sin a) 3) (pow (cos a) 3))) (/ (sin a) (cos a)))))))) (exp (neg (* -1 (log (cos a)))))))))) (* -1/6 (/ r (exp (neg (* -1 (log (cos a)))))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (* (pow (cos a) 2) (exp (neg (* -1 (log (cos a)))))))) (/ (* r (+ (* 1/2 (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1)) (* 1/2 (/ (pow (sin a) 2) (pow (cos a) 2))))) (exp (neg (* -1 (log (cos a))))))))) (* -1 (/ (* r (sin a)) (* (cos a) (exp (neg (* -1 (log (cos a)))))))))) (/ r (exp (neg (* -1 (log (cos 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))))))) |
(/ 1 b) |
(/ (+ 1 (* 1/6 (pow b 2))) b) |
(/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b) |
(/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b) |
(log (cos a)) |
(+ (log (cos a)) (* -1 (/ (* b (sin a)) (cos a)))) |
(+ (log (cos a)) (* b (+ (* -1 (/ (sin a) (cos a))) (* 1/2 (* b (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1)))))) |
(+ (log (cos a)) (* b (+ (* -1 (/ (sin a) (cos a))) (* b (+ (* 1/6 (* b (+ (* -3 (/ (sin a) (cos a))) (+ (* -2 (/ (pow (sin a) 3) (pow (cos a) 3))) (/ (sin a) (cos a)))))) (* 1/2 (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1))))))) |
(/ b (exp (neg (* -1 (log (cos a)))))) |
(* b (+ (/ 1 (exp (neg (* -1 (log (cos a)))))) (/ (* b (sin a)) (* (cos a) (exp (neg (* -1 (log (cos a))))))))) |
(* b (+ (* b (- (* -1 (* b (+ (* -1 (/ (pow (sin a) 2) (* (pow (cos a) 2) (exp (neg (* -1 (log (cos a)))))))) (+ (* 1/6 (/ 1 (exp (neg (* -1 (log (cos a))))))) (+ (* 1/2 (/ (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1) (exp (neg (* -1 (log (cos a))))))) (* 1/2 (/ (pow (sin a) 2) (* (pow (cos a) 2) (exp (neg (* -1 (log (cos a))))))))))))) (* -1 (/ (sin a) (* (cos a) (exp (neg (* -1 (log (cos a)))))))))) (/ 1 (exp (neg (* -1 (log (cos a)))))))) |
(* b (+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* (sin a) (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1)) (* (cos a) (exp (neg (* -1 (log (cos a)))))))) (+ (* -1/6 (/ (pow (sin a) 3) (* (pow (cos a) 3) (exp (neg (* -1 (log (cos a)))))))) (+ (* 1/6 (/ (+ (* -3 (/ (sin a) (cos a))) (+ (* -2 (/ (pow (sin a) 3) (pow (cos a) 3))) (/ (sin a) (cos a)))) (exp (neg (* -1 (log (cos a))))))) (+ (/ (* (sin a) (+ (* -1 (/ (pow (sin a) 2) (* (pow (cos a) 2) (exp (neg (* -1 (log (cos a)))))))) (+ (* 1/6 (/ 1 (exp (neg (* -1 (log (cos a))))))) (+ (* 1/2 (/ (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1) (exp (neg (* -1 (log (cos a))))))) (* 1/2 (/ (pow (sin a) 2) (* (pow (cos a) 2) (exp (neg (* -1 (log (cos a)))))))))))) (cos a)) (/ (* (sin a) (+ (* 1/2 (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1)) (* 1/2 (/ (pow (sin a) 2) (pow (cos a) 2))))) (* (cos a) (exp (neg (* -1 (log (cos a))))))))))))) (+ (* -1 (/ (pow (sin a) 2) (* (pow (cos a) 2) (exp (neg (* -1 (log (cos a)))))))) (+ (* 1/6 (/ 1 (exp (neg (* -1 (log (cos a))))))) (+ (* 1/2 (/ (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1) (exp (neg (* -1 (log (cos a))))))) (* 1/2 (/ (pow (sin a) 2) (* (pow (cos a) 2) (exp (neg (* -1 (log (cos a))))))))))))) (* -1 (/ (sin a) (* (cos a) (exp (neg (* -1 (log (cos a)))))))))) (/ 1 (exp (neg (* -1 (log (cos 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))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a 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 (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
b |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
(exp (neg (* -1 (log (cos (+ a b)))))) |
(exp (neg (* -1 (log (cos (+ a b)))))) |
(exp (neg (* -1 (log (cos (+ a b)))))) |
(exp (neg (* -1 (log (cos (+ a b)))))) |
(log (cos (+ a b))) |
(log (cos (+ a b))) |
(log (cos (+ a b))) |
(log (cos (+ a b))) |
(* -1 (log (cos (+ a b)))) |
(* -1 (log (cos (+ a b)))) |
(* -1 (log (cos (+ a b)))) |
(* -1 (log (cos (+ a b)))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(/ 1 (sin b)) |
(/ 1 (sin b)) |
(/ 1 (sin b)) |
(/ 1 (sin b)) |
(log (cos (+ a b))) |
(log (cos (+ a b))) |
(log (cos (+ a b))) |
(log (cos (+ a b))) |
(/ (sin b) (exp (neg (* -1 (log (cos (+ a b))))))) |
(/ (sin b) (exp (neg (* -1 (log (cos (+ a b))))))) |
(/ (sin b) (exp (neg (* -1 (log (cos (+ a b))))))) |
(/ (sin b) (exp (neg (* -1 (log (cos (+ a 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)))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 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)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
b |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(exp (neg (* -1 (log (cos (- a (* -1 b))))))) |
(exp (neg (* -1 (log (cos (- a (* -1 b))))))) |
(exp (neg (* -1 (log (cos (- a (* -1 b))))))) |
(exp (neg (* -1 (log (cos (- a (* -1 b))))))) |
(log (cos (- a (* -1 b)))) |
(log (cos (- a (* -1 b)))) |
(log (cos (- a (* -1 b)))) |
(log (cos (- a (* -1 b)))) |
(* -1 (log (cos (- a (* -1 b))))) |
(* -1 (log (cos (- a (* -1 b))))) |
(* -1 (log (cos (- a (* -1 b))))) |
(* -1 (log (cos (- a (* -1 b))))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (- a (* -1 b)))))))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (- a (* -1 b)))))))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (- a (* -1 b)))))))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (- a (* -1 b)))))))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(/ 1 (sin b)) |
(/ 1 (sin b)) |
(/ 1 (sin b)) |
(/ 1 (sin b)) |
(log (cos (- a (* -1 b)))) |
(log (cos (- a (* -1 b)))) |
(log (cos (- a (* -1 b)))) |
(log (cos (- a (* -1 b)))) |
(/ (sin b) (exp (neg (* -1 (log (cos (- a (* -1 b)))))))) |
(/ (sin b) (exp (neg (* -1 (log (cos (- a (* -1 b)))))))) |
(/ (sin b) (exp (neg (* -1 (log (cos (- a (* -1 b)))))))) |
(/ (sin b) (exp (neg (* -1 (log (cos (- 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)) (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)) |
(* 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 (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (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)) |
(* 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 (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (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)) |
(* 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 (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (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 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (/.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 (neg.f64 (fma.f64 (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)) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (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)) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (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 a r) (/.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 (neg.f64 a) (fma.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (*.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 (neg.f64 (fma.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 (*.f64 (fma.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))) a (fma.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (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 (neg.f64 a) (sin.f64 b) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (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 a r) (/.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 (neg.f64 a) (fma.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (*.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 (neg.f64 (fma.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 (*.f64 (fma.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))) a (fma.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (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)))) |
(/ (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 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (/.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 (neg.f64 (fma.f64 (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)) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (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)) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (pow.f64 (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 (* 1/2 (* (pow a 2) b))) |
(fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) |
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
(fma.f64 (fma.f64 (*.f64 b #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) 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)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 a) a) (fma.f64 b #s(literal 7/360 binary64) (*.f64 b #s(literal -5/48 binary64))) (*.f64 b #s(literal 5/24 binary64))) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) 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)) |
(/ (* 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 a r) (/.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 (neg.f64 a) (fma.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (*.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 (neg.f64 (fma.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 (*.f64 (fma.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))) a (fma.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (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 (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 (neg.f64 a) (sin.f64 b) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (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)) |
(/ (* 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 a r) (/.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 (neg.f64 a) (fma.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (*.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 (neg.f64 (fma.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 (*.f64 (fma.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))) a (fma.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (/.f64 r (cos.f64 b)) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (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)))) |
(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))) |
(fma.f64 (*.f64 r (sin.f64 b)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 r (cos.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(fma.f64 (fma.f64 (neg.f64 a) (-.f64 (*.f64 (/.f64 r (cos.f64 b)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (*.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (/.f64 r (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 b)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))) a (-.f64 (*.f64 (/.f64 r (cos.f64 b)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64))))))) a (*.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (/.f64 r (cos.f64 b))) |
b |
(+ a b) |
(+.f64 a b) |
(+ a b) |
(+.f64 a b) |
(+ a b) |
(+.f64 a b) |
(exp (neg (* -1 (log (cos b))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64))) |
(+ (exp (neg (* -1 (log (cos b))))) (* -1 (/ (* a (* (exp (neg (* -1 (log (cos b))))) (sin b))) (cos b)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64))) (*.f64 (/.f64 a (pow.f64 (cos.f64 b) #s(literal -1 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))) |
(+ (exp (neg (* -1 (log (cos b))))) (* a (+ (* -1 (/ (* (exp (neg (* -1 (log (cos b))))) (sin b)) (cos b))) (* a (* (exp (neg (* -1 (log (cos b))))) (+ (* 1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)) (* 1/2 (/ (pow (sin b) 2) (pow (cos b) 2))))))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 (cos.f64 b) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (+.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64))) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 b)))) a (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64)))) |
(+ (exp (neg (* -1 (log (cos b))))) (* a (+ (* -1 (/ (* (exp (neg (* -1 (log (cos b))))) (sin b)) (cos b))) (* a (+ (* a (* (exp (neg (* -1 (log (cos b))))) (+ (* -1/2 (/ (* (sin b) (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)) (cos b))) (+ (* -1/6 (/ (pow (sin b) 3) (pow (cos b) 3))) (* 1/6 (+ (* -3 (/ (sin b) (cos b))) (+ (* -2 (/ (pow (sin b) 3) (pow (cos b) 3))) (/ (sin b) (cos b))))))))) (* (exp (neg (* -1 (log (cos b))))) (+ (* 1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)) (* 1/2 (/ (pow (sin b) 2) (pow (cos b) 2)))))))))) |
(fma.f64 (fma.f64 (*.f64 a (/.f64 a (pow.f64 (cos.f64 b) #s(literal -1 binary64)))) (fma.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 b)) (cos.f64 b)))) (fma.f64 (*.f64 (/.f64 a (pow.f64 (cos.f64 b) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (+.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64))) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 b))))) a (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64)))) |
(log (cos b)) |
(log.f64 (cos.f64 b)) |
(- (* -1 (/ (* a (sin b)) (cos b))) (* -1 (log (cos b)))) |
(fma.f64 (neg.f64 a) (/.f64 (sin.f64 b) (cos.f64 b)) (log.f64 (cos.f64 b))) |
(- (* a (- (* 1/2 (* a (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1))) (/ (sin b) (cos b)))) (* -1 (log (cos b)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64)) a (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 b))) a (log.f64 (cos.f64 b))) |
(- (* a (- (* a (- (* 1/6 (* a (+ (* -3 (/ (sin b) (cos b))) (+ (* -2 (/ (pow (sin b) 3) (pow (cos b) 3))) (/ (sin b) (cos b)))))) (* -1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)))) (/ (sin b) (cos b)))) (* -1 (log (cos b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (fma.f64 #s(literal -3 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64))) a (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 b))) a (log.f64 (cos.f64 b))) |
(* -1 (log (cos b))) |
(neg.f64 (log.f64 (cos.f64 b))) |
(+ (* -1 (log (cos b))) (/ (* a (sin b)) (cos b))) |
(fma.f64 a (/.f64 (sin.f64 b) (cos.f64 b)) (neg.f64 (log.f64 (cos.f64 b)))) |
(+ (* -1 (log (cos b))) (* a (+ (* -1/2 (* a (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1))) (/ (sin b) (cos b))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) a (/.f64 (sin.f64 b) (cos.f64 b))) a (neg.f64 (log.f64 (cos.f64 b)))) |
(+ (* -1 (log (cos b))) (* a (+ (* a (+ (* -1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)) (* -1/6 (* a (+ (* -3 (/ (sin b) (cos b))) (+ (* -2 (/ (pow (sin b) 3) (pow (cos b) 3))) (/ (sin b) (cos b)))))))) (/ (sin b) (cos b))))) |
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(/ (* r (sin b)) (exp (neg (* -1 (log (cos b)))))) |
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(* (cos a) (cos b)) |
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(cos a) |
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(cos a) |
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(cos a) |
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(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
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a |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(fma.f64 (/.f64 b (neg.f64 a)) (neg.f64 a) a) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
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(* -1 (* a (- (* -1 (/ b a)) 1))) |
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(exp (neg (* -1 (log (cos (- b (* -1 a))))))) |
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(log (cos (- b (* -1 a)))) |
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(/ (* r (sin b)) (exp (neg (* -1 (log (cos (- b (* -1 a)))))))) |
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b |
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(cos a) |
(cos.f64 a) |
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(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
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(*.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)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
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(/ b (cos a)) |
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(/ (* b r) (cos a)) |
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(* b r) |
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(cos a) |
(cos.f64 a) |
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(/ (* b r) (cos a)) |
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(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
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a |
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(+.f64 a b) |
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(exp (neg (* -1 (log (cos a))))) |
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(log (cos a)) |
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(* -1 (log (cos a))) |
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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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(/ (* r (sin b)) (cos (+ a b))) |
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(/ (* 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))) |
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(*.f64 r (sin.f64 b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (+ a b)) |
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(cos (+ a b)) |
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(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
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(/ (* r (sin b)) (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))) |
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(/.f64 r (cos.f64 (+.f64 a b))) |
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(/.f64 r (cos.f64 (+.f64 a b))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
b |
(* b (+ 1 (/ a b))) |
(fma.f64 (/.f64 a b) b b) |
(* b (+ 1 (/ a b))) |
(fma.f64 (/.f64 a b) b b) |
(* b (+ 1 (/ a b))) |
(fma.f64 (/.f64 a b) b b) |
(exp (neg (* -1 (log (cos (+ a b)))))) |
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(exp (neg (* -1 (log (cos (+ a b)))))) |
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(exp (neg (* -1 (log (cos (+ a b)))))) |
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(exp (neg (* -1 (log (cos (+ a b)))))) |
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(log (cos (+ a b))) |
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(log (cos (+ a b))) |
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(log (cos (+ a b))) |
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(* (cos a) (cos b)) |
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(* (cos a) (cos b)) |
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(* (cos a) (cos b)) |
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(* (cos a) (cos b)) |
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(log (cos (+ a b))) |
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(sin b) |
(sin.f64 b) |
(sin b) |
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(sin b) |
(sin.f64 b) |
(sin b) |
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(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
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(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
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(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
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(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/ (sin b) (cos (- a (* -1 b)))) |
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(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
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(cos (- a (* -1 b))) |
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b |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(fma.f64 (/.f64 (neg.f64 a) b) (neg.f64 b) b) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(fma.f64 (/.f64 (neg.f64 a) b) (neg.f64 b) b) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(fma.f64 (/.f64 (neg.f64 a) b) (neg.f64 b) b) |
(exp (neg (* -1 (log (cos (- a (* -1 b))))))) |
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(exp (neg (* -1 (log (cos (- a (* -1 b))))))) |
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(exp (neg (* -1 (log (cos (- a (* -1 b))))))) |
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(log (cos (- a (* -1 b)))) |
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(/.f64 (*.f64 r (sin.f64 b)) (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 r (sin.f64 b)) (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 r (sin.f64 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 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))) |
(/ (* 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))) |
(/ (* 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))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 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))) |
(/ (* 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))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (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 r (sin.f64 b)) (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 r (sin.f64 b)) (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 r (sin.f64 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 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))) |
(/ (* 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))) |
(/ (* 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))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 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))) |
(/ (* 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))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(/ (* r (sin b)) (exp (neg (* -1 (log (cos (+ a b))))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
| 6 020× | lower-fma.f32 |
| 6 018× | lower-fma.f64 |
| 5 058× | lower-*.f32 |
| 5 048× | lower-*.f64 |
| 3 550× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 176 |
| 0 | 59 | 202 |
| 1 | 175 | 134 |
| 2 | 916 | 134 |
| 0 | 8411 | 134 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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) (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))) (/.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 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
(*.f64 (sin.f64 b) r) |
(cos.f64 (+.f64 a b)) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
(+.f64 a b) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))) |
(neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))) |
(*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(/.f64 #s(literal 1 binary64) (sin.f64 b)) |
(log.f64 (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (neg.f64 (sin.f64 b))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))) |
(*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) #s(literal 1 binary64)) (/.f64 (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))))) |
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(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
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(/.f64 (*.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)))))))) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (*.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))) #s(literal 3 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))) (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (sin.f64 b) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) |
(/.f64 (*.f64 (sin.f64 b) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (neg.f64 (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(fma.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) |
(fma.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))) (*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) |
(fma.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))) |
(fma.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))) (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))) (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)) (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(exp.f64 (-.f64 (neg.f64 (log.f64 (cos.f64 (+.f64 a b)))) (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))) (*.f64 (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)) (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))))) |
(+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))) (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))) (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) |
(+.f64 (*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))) (*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) |
(+.f64 (*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))) |
Compiled 67 590 to 4 400 computations (93.5% saved)
68 alts after pruning (66 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 295 | 55 | 2 350 |
| Fresh | 15 | 11 | 26 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 313 | 68 | 2 381 |
| Status | Accuracy | Program |
|---|---|---|
| 98.8% | (fma.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) | |
| 99.4% | (/.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 77.2% | (/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 (+.f64 a b))) | |
| 98.7% | (/.f64 (/.f64 r (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 70.4% | (/.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 36.9% | (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 23.8% | (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64))) | |
| ✓ | 77.3% | (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
| 53.0% | (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) | |
| 53.3% | (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) | |
| 71.4% | (/.f64 (/.f64 r (cos.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (-.f64 a b)))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 65.5% | (/.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 55.1% | (/.f64 (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 56.6% | (/.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| ▶ | 99.6% | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 99.5% | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| 98.8% | (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))))))))) | |
| 98.8% | (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))))) | |
| 98.9% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))))) | |
| 70.6% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) | |
| 37.9% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (*.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b (-.f64 b a)))))))) | |
| 71.5% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (-.f64 a b)))))) | |
| 42.4% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) | |
| 65.6% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) | |
| 55.3% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) | |
| 57.9% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b))) | |
| ▶ | 56.7% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) |
| 52.2% | (/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b))) | |
| 77.3% | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) | |
| 52.2% | (/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) | |
| 52.9% | (/.f64 #s(approx (* (sin b) r) (*.f64 r b)) (cos.f64 (+.f64 a b))) | |
| 77.3% | (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| 76.9% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) | |
| ▶ | 76.7% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
| 98.9% | (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) r)) | |
| 77.4% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| 77.2% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) | |
| 77.2% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 77.3% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r)) | |
| 77.3% | (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) | |
| 99.4% | (*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 54.6% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))) | |
| 59.2% | (*.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))))) | |
| ▶ | 58.0% | (*.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))))) |
| 99.5% | (*.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 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) | |
| 54.2% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))) | |
| 54.6% | (*.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) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 b)))))) | |
| 57.9% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) | |
| 56.7% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))) | |
| 56.6% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (exp (neg (* (log (cos (+ a b))) -1))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))))) | |
| 77.3% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) | |
| 77.2% | (*.f64 r (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))) | |
| 98.9% | (*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))))) | |
| 77.3% | (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (sin.f64 b))) | |
| 57.8% | (*.f64 r #s(approx (/ (sin b) (exp (neg (* (log (cos (+ a b))) -1)))) (*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (pow.f64 (cos.f64 b) #s(literal -1 binary64))))) | |
| ✓ | 52.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
| 31.3% | (*.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)))))) | |
| 31.4% | (*.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)))))) | |
| 31.2% | (*.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)))))) | |
| ▶ | 33.0% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
| 52.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) | |
| 26.6% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 (*.f64 b #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) b)))) | |
| 26.7% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) | |
| 37.2% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) | |
| 52.8% | #s(approx (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b)) | |
| 57.8% | #s(approx (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
Compiled 3 322 to 1 706 computations (48.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 320 | (*.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))))) | |
| cost-diff | 6016 | (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) | |
| cost-diff | 0 | (cos.f64 (+.f64 a b)) | |
| cost-diff | 0 | (/.f64 (cos.f64 (+.f64 a b)) r) | |
| cost-diff | 576 | (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) | |
| cost-diff | 832 | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) | |
| cost-diff | 0 | #s(approx (cos (+ a b)) (cos.f64 a)) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 (sin.f64 b) r) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| cost-diff | 0 | #s(approx (cos a) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 (sin.f64 b) r) | |
| cost-diff | 6336 | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 2 980× | lower-fma.f32 |
| 2 976× | lower-fma.f64 |
| 2 170× | div-sub |
| 1 806× | lower-*.f32 |
| 1 796× | lower-*.f64 |
Useful iterations: 12 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 240 |
| 0 | 60 | 240 |
| 1 | 87 | 240 |
| 2 | 127 | 237 |
| 3 | 183 | 235 |
| 4 | 292 | 235 |
| 5 | 771 | 235 |
| 6 | 2027 | 235 |
| 7 | 3528 | 235 |
| 8 | 4808 | 235 |
| 9 | 5906 | 235 |
| 10 | 6655 | 235 |
| 11 | 7222 | 235 |
| 12 | 7677 | 228 |
| 13 | 7867 | 228 |
| 0 | 8200 | 228 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
b |
r |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 a) |
(cos.f64 b) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
r |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 b #s(approx (cos a) #s(literal 1 binary64))) |
b |
#s(approx (cos a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
b |
r |
#s(approx (cos (+ a b)) (cos.f64 a)) |
(cos.f64 a) |
a |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
#s(literal -1 binary64) |
(*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(/.f64 (cos.f64 (+.f64 a b)) r) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
b |
r |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(sin.f64 b) |
(*.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))))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
#s(approx (* (cos b) (cos a)) (cos.f64 a)) |
(cos.f64 a) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))) |
(*.f64 (sin.f64 b) r) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
b |
r |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 a) |
(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) |
r |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 b #s(approx (cos a) #s(literal 1 binary64))) |
b |
#s(approx (cos a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(*.f64 (sin.f64 b) r) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
b |
r |
#s(approx (cos (+ a b)) (cos.f64 a)) |
(cos.f64 a) |
a |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
#s(literal -1 binary64) |
(*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (neg.f64 r) (sin.f64 b))) |
(/.f64 (cos.f64 (+.f64 a b)) r) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
b |
r |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(sin.f64 b) |
(*.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 (/.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))) |
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 #s(literal -1 binary64) (-.f64 (sin.f64 a) (/.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (sin.f64 b)))) |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 a))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
#s(approx (* (cos b) (cos a)) (cos.f64 a)) |
(cos.f64 a) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.10775375976844201 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))) | |
| accuracy | 0.1796875 | (*.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))))) | |
| accuracy | 0.21712875976844204 | (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) | |
| accuracy | 27.730091899530652 | #s(approx (* (cos b) (cos a)) (cos.f64 a)) | |
| accuracy | 0.17578125 | (/.f64 (cos.f64 (+.f64 a b)) r) | |
| accuracy | 0.35384750976844204 | (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) | |
| accuracy | 0.5065266924229597 | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) | |
| accuracy | 14.377609951338261 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0 | (cos.f64 a) | |
| accuracy | 0.09375 | (*.f64 (sin.f64 b) r) | |
| accuracy | 0.250663769536884 | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| accuracy | 27.792621506570615 | #s(approx (cos (+ a b)) (cos.f64 a)) | |
| accuracy | 0.109375 | (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) | |
| accuracy | 0.1796875 | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) | |
| accuracy | 29.464178598524313 | #s(approx (cos a) #s(literal 1 binary64)) | |
| accuracy | 30.25339692659689 | #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) | |
| accuracy | 0.06640625 | (*.f64 (cos.f64 a) (cos.f64 b)) | |
| accuracy | 0.09375 | (*.f64 (sin.f64 b) r) | |
| accuracy | 0.10775375976844201 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) | |
| accuracy | 0.250663769536884 | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 299.0ms | 184× | 1 | valid |
| 16.0ms | 72× | 0 | valid |
Compiled 211 to 31 computations (85.3% saved)
ival-cos: 203.0ms (75.8% of total)ival-div: 20.0ms (7.5% of total)ival-mult: 16.0ms (6% of total)ival-sin: 13.0ms (4.9% of total)adjust: 8.0ms (3% of total)ival-add: 6.0ms (2.2% of total)ival-neg: 1.0ms (0.4% 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 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<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 a) (cos.f64 b))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) #<representation binary64>) () ()) |
#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) (patch (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) #<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 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) (patch (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) #<representation binary64>) () ()) |
#s(alt #s(approx (cos (+ a b)) (cos.f64 a)) (patch #s(approx (cos (+ a b)) (cos.f64 a)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (patch (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 (+.f64 a b)) r) (patch (/.f64 (cos.f64 (+.f64 a b)) r) #<representation binary64>) () ()) |
#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) #<representation binary64>) () ()) |
#s(alt (*.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))))) (patch (*.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))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))) #<representation binary64>) () ()) |
#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ()) |
#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ()) |
#s(alt #s(approx (* (cos b) (cos a)) (cos.f64 a)) (patch #s(approx (* (cos b) (cos a)) (cos.f64 a)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.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 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.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 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.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 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (cos b) (taylor 0 a) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) (taylor 0 a) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.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 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.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))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) #<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 #s(approx (cos a) #s(literal 1 binary64))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) #<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 #s(approx (cos a) #s(literal 1 binary64))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) #<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 #s(approx (cos a) #s(literal 1 binary64))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #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 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) (patch #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (cos (+ a b)) r) (taylor inf a) (#s(alt (/.f64 (cos.f64 (+.f64 a b)) r) (patch (/.f64 (cos.f64 (+.f64 a b)) r) #<representation binary64>) () ())) ()) |
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#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
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#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<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)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.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 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.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 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
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#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>) () ())) ()) |
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#s(alt (sin b) (taylor -inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf b) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf b) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ b (cos a)) (taylor -inf b) (#s(alt (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) (patch (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ b (cos a)) (taylor -inf b) (#s(alt (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) (patch (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ b (cos a)) (taylor -inf b) (#s(alt (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) (patch (/.f64 b #s(approx (cos a) #s(literal 1 binary64))) #<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))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #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))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #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))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #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))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) (patch (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) (patch (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) (patch (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) (patch (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos (+ a b)) (* r (sin b)))) (taylor inf r) (#s(alt (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (patch (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos (+ a b)) (* r (sin b)))) (taylor inf r) (#s(alt (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (patch (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos (+ a b)) (* r (sin b)))) (taylor inf r) (#s(alt (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (patch (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos (+ a b)) (* r (sin b)))) (taylor inf r) (#s(alt (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (patch (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (+ a b)) r) (taylor inf r) (#s(alt (/.f64 (cos.f64 (+.f64 a b)) r) (patch (/.f64 (cos.f64 (+.f64 a b)) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (+ a b)) r) (taylor inf r) (#s(alt (/.f64 (cos.f64 (+.f64 a b)) r) (patch (/.f64 (cos.f64 (+.f64 a b)) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (+ a b)) r) (taylor inf r) (#s(alt (/.f64 (cos.f64 (+.f64 a b)) r) (patch (/.f64 (cos.f64 (+.f64 a b)) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (+ a b)) r) (taylor inf r) (#s(alt (/.f64 (cos.f64 (+.f64 a b)) r) (patch (/.f64 (cos.f64 (+.f64 a b)) r) #<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)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))) (patch (*.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))))) #<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)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))) (patch (*.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))))) #<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)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))) (patch (*.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))))) #<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)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))) (patch (*.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))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf r) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (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 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (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 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (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 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<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 #s(approx (cos a) #s(literal 1 binary64))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #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))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #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))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #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))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) (patch (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) (patch (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) (patch (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) (patch (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos (+ a b)) (* r (sin b)))) (taylor -inf r) (#s(alt (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (patch (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos (+ a b)) (* r (sin b)))) (taylor -inf r) (#s(alt (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (patch (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos (+ a b)) (* r (sin b)))) (taylor -inf r) (#s(alt (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (patch (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (cos (+ a b)) (* r (sin b)))) (taylor -inf r) (#s(alt (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (patch (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (+ a b)) r) (taylor -inf r) (#s(alt (/.f64 (cos.f64 (+.f64 a b)) r) (patch (/.f64 (cos.f64 (+.f64 a b)) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (+ a b)) r) (taylor -inf r) (#s(alt (/.f64 (cos.f64 (+.f64 a b)) r) (patch (/.f64 (cos.f64 (+.f64 a b)) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (+ a b)) r) (taylor -inf r) (#s(alt (/.f64 (cos.f64 (+.f64 a b)) r) (patch (/.f64 (cos.f64 (+.f64 a b)) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos (+ a b)) r) (taylor -inf r) (#s(alt (/.f64 (cos.f64 (+.f64 a b)) r) (patch (/.f64 (cos.f64 (+.f64 a b)) r) #<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)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))) (patch (*.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))))) #<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)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))) (patch (*.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))))) #<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)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))) (patch (*.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))))) #<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)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))) (patch (*.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))))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | a | @ | -inf | ((/ (* (sin b) r) (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b)))) (* (sin b) r) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ (* (sin b) r) (cos (+ a b))) (cos (+ a b)) (/ -1 (* (/ (cos (+ a b)) r) (/ -1 (sin b)))) (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (/ (cos (+ a b)) r) (cos (+ a b)) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (cos a) (cos b)) (cos a) (* (cos b) (cos a))) |
| 4.0ms | r | @ | -inf | ((/ (* (sin b) r) (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b)))) (* (sin b) r) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ (* (sin b) r) (cos (+ a b))) (cos (+ a b)) (/ -1 (* (/ (cos (+ a b)) r) (/ -1 (sin b)))) (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (/ (cos (+ a b)) r) (cos (+ a b)) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (cos a) (cos b)) (cos a) (* (cos b) (cos a))) |
| 4.0ms | b | @ | inf | ((/ (* (sin b) r) (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b)))) (* (sin b) r) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ (* (sin b) r) (cos (+ a b))) (cos (+ a b)) (/ -1 (* (/ (cos (+ a b)) r) (/ -1 (sin b)))) (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (/ (cos (+ a b)) r) (cos (+ a b)) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (cos a) (cos b)) (cos a) (* (cos b) (cos a))) |
| 4.0ms | b | @ | -inf | ((/ (* (sin b) r) (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b)))) (* (sin b) r) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ (* (sin b) r) (cos (+ a b))) (cos (+ a b)) (/ -1 (* (/ (cos (+ a b)) r) (/ -1 (sin b)))) (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (/ (cos (+ a b)) r) (cos (+ a b)) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (cos a) (cos b)) (cos a) (* (cos b) (cos a))) |
| 3.0ms | a | @ | inf | ((/ (* (sin b) r) (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b)))) (* (sin b) r) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ (* (sin b) r) (cos (+ a b))) (cos (+ a b)) (/ -1 (* (/ (cos (+ a b)) r) (/ -1 (sin b)))) (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (/ (cos (+ a b)) r) (cos (+ a b)) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (cos a) (cos b)) (cos a) (* (cos b) (cos a))) |
| 1× | egg-herbie |
| 7 672× | lower-fma.f64 |
| 7 672× | lower-fma.f32 |
| 6 926× | lower-*.f64 |
| 6 926× | lower-*.f32 |
| 2 558× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 411 | 6903 |
| 1 | 1301 | 6557 |
| 2 | 4172 | 6490 |
| 0 | 8144 | 6278 |
| 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))) |
(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))) |
(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 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) (* r (sin b)))) |
(+ (* -1 (/ (cos b) (* r (sin b)))) (/ a r)) |
(+ (* -1 (/ (cos b) (* r (sin b)))) (* a (+ (* 1/2 (/ (* a (cos b)) (* r (sin b)))) (/ 1 r)))) |
(+ (* -1 (/ (cos b) (* r (sin b)))) (* a (+ (* a (+ (* -1/6 (/ a r)) (* 1/2 (/ (cos b) (* r (sin b)))))) (/ 1 r)))) |
(/ (cos b) r) |
(+ (* -1 (/ (* a (sin b)) r)) (/ (cos b) r)) |
(+ (* a (+ (* -1 (/ (sin b) r)) (* -1/2 (/ (* a (cos b)) r)))) (/ (cos b) r)) |
(+ (* a (+ (* -1 (/ (sin b) r)) (* a (+ (* -1/2 (/ (cos b) r)) (* 1/6 (/ (* a (sin b)) r)))))) (/ (cos b) r)) |
(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)))) |
(/ (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)))))))) |
(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))))))) |
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))) |
(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))))))) |
(/ (* 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))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a 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)) (* r (sin b)))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(/ (cos (+ a b)) r) |
(/ (cos (+ a b)) r) |
(/ (cos (+ a b)) r) |
(/ (cos (+ a b)) r) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a 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)))) |
(+ (* -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)) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos 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)))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(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))) (* r (sin b)))) |
(* -1 (/ (cos (- b (* -1 a))) (* r (sin b)))) |
(* -1 (/ (cos (- b (* -1 a))) (* r (sin b)))) |
(* -1 (/ (cos (- b (* -1 a))) (* r (sin b)))) |
(/ (cos (- b (* -1 a))) r) |
(/ (cos (- b (* -1 a))) r) |
(/ (cos (- b (* -1 a))) r) |
(/ (cos (- b (* -1 a))) r) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 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)))) |
(+ (* -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)) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos 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) |
(* 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)))) |
(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)))) |
(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 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) (* b r))) |
(/ (+ (* -1 (/ (cos a) r)) (/ (* b (sin a)) r)) b) |
(/ (+ (* -1 (/ (cos a) r)) (* b (+ (* -1 (* b (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r))))) (/ (sin a) r)))) b) |
(/ (+ (* -1 (/ (cos a) r)) (* b (+ (* b (+ (* -1 (* (pow b 2) (- (* 1/24 (/ (cos a) r)) (+ (* -1/6 (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (* 1/120 (/ (cos a) r)))))) (* -1 (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))))) (/ (sin a) r)))) b) |
(/ (cos a) r) |
(+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r)) |
(+ (* b (+ (* -1 (/ (sin a) r)) (* -1/2 (/ (* b (cos a)) r)))) (/ (cos a) r)) |
(+ (* b (+ (* -1 (/ (sin a) r)) (* b (+ (* -1/2 (/ (cos a) r)) (* 1/6 (/ (* b (sin a)) r)))))) (/ (cos a) r)) |
(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 (+ (* 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)))) |
(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))))))) |
(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))))))) |
(/ (* 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) |
(+ (* -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))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a 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)) (* r (sin b)))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(/ (cos (+ a b)) r) |
(/ (cos (+ a b)) r) |
(/ (cos (+ a b)) r) |
(/ (cos (+ a b)) r) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a 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)))) |
(+ (* -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)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos 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) |
(+ (* -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)))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 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))) (* r (sin b)))) |
(* -1 (/ (cos (- a (* -1 b))) (* r (sin b)))) |
(* -1 (/ (cos (- a (* -1 b))) (* r (sin b)))) |
(* -1 (/ (cos (- a (* -1 b))) (* r (sin b)))) |
(/ (cos (- a (* -1 b))) r) |
(/ (cos (- a (* -1 b))) r) |
(/ (cos (- a (* -1 b))) r) |
(/ (cos (- a (* -1 b))) r) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 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)))) |
(+ (* -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)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos 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)) (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))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(/ (cos (+ a b)) r) |
(/ (cos (+ a b)) r) |
(/ (cos (+ a b)) r) |
(/ (cos (+ a b)) r) |
(/ (* 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)) (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))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(/ (cos (+ a b)) r) |
(/ (cos (+ a b)) r) |
(/ (cos (+ a b)) r) |
(/ (cos (+ a b)) r) |
(/ (* 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)) (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))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(/ (cos (+ a b)) r) |
(/ (cos (+ a b)) r) |
(/ (cos (+ a b)) r) |
(/ (cos (+ a b)) r) |
(/ (* 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 #s(literal -1/2 binary64) (*.f64 (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)) |
(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 (neg.f64 a) (sin.f64 b) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (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 #s(literal -1/2 binary64) (*.f64 (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 (* 1/2 (* (pow a 2) b))) |
(fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) |
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
(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) |
(+ 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)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 b #s(literal 7/360 binary64) (*.f64 b #s(literal -5/48 binary64))) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) b)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) 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)) |
(/ (* 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 #s(literal -1/2 binary64) (*.f64 (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)) |
(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 (neg.f64 a) (sin.f64 b) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (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)) |
(/ (* 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 #s(literal -1/2 binary64) (*.f64 (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)) |
(* -1 (/ (cos b) (* r (sin b)))) |
(/.f64 (neg.f64 (cos.f64 b)) (*.f64 (sin.f64 b) r)) |
(+ (* -1 (/ (cos b) (* r (sin b)))) (/ a r)) |
(-.f64 (/.f64 a r) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))) |
(+ (* -1 (/ (cos b) (* r (sin b)))) (* a (+ (* 1/2 (/ (* a (cos b)) (* r (sin b)))) (/ 1 r)))) |
(fma.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 (cos.f64 b) (/.f64 a (*.f64 (sin.f64 b) r))) (-.f64 (/.f64 a r) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)))) |
(+ (* -1 (/ (cos b) (* r (sin b)))) (* a (+ (* a (+ (* -1/6 (/ a r)) (* 1/2 (/ (cos b) (* r (sin b)))))) (/ 1 r)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 a r) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 b)) (*.f64 (sin.f64 b) r))) a (/.f64 #s(literal 1 binary64) r)) a (/.f64 (neg.f64 (cos.f64 b)) (*.f64 (sin.f64 b) r))) |
(/ (cos b) r) |
(/.f64 (cos.f64 b) r) |
(+ (* -1 (/ (* a (sin b)) r)) (/ (cos b) r)) |
(fma.f64 (neg.f64 a) (/.f64 (sin.f64 b) r) (/.f64 (cos.f64 b) r)) |
(+ (* a (+ (* -1 (/ (sin b) r)) (* -1/2 (/ (* a (cos b)) r)))) (/ (cos b) r)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (cos.f64 b) r) (/.f64 (neg.f64 (sin.f64 b)) r)) a (/.f64 (cos.f64 b) r)) |
(+ (* a (+ (* -1 (/ (sin b) r)) (* a (+ (* -1/2 (/ (cos b) r)) (* 1/6 (/ (* a (sin b)) r)))))) (/ (cos b) r)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a (sin.f64 b)) r) #s(literal 1/6 binary64) (*.f64 (/.f64 (cos.f64 b) r) #s(literal -1/2 binary64))) a (/.f64 (neg.f64 (sin.f64 b)) r)) a (/.f64 (cos.f64 b) r)) |
(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 (neg.f64 a) (sin.f64 b) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (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)) |
(/ (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))) |
(/ (* 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 #s(literal -1/2 binary64) (*.f64 (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)) |
(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 (neg.f64 a) (sin.f64 b) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (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 a a) #s(literal -1/2 binary64) #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 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (*.f64 (*.f64 (cos.f64 b) (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64))) (*.f64 a a)) (*.f64 a a))) |
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)) |
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(* b r) |
(*.f64 b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
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b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
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(* b (+ 1 (* (pow b 2) (- (* 1/120 (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)))))) |
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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)) |
(/ (* 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 (/.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) (/.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))) |
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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) |
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(*.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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(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)))) |
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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) |
(* 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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(* -1 (/ (cos a) (* b r))) |
(/.f64 (neg.f64 (cos.f64 a)) (*.f64 b r)) |
(/ (+ (* -1 (/ (cos a) r)) (/ (* b (sin a)) r)) b) |
(/.f64 (fma.f64 (/.f64 (sin.f64 a) r) b (/.f64 (cos.f64 a) (neg.f64 r))) b) |
(/ (+ (* -1 (/ (cos a) r)) (* b (+ (* -1 (* b (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r))))) (/ (sin a) r)))) b) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (cos.f64 a) r) b) #s(literal 1/3 binary64) (/.f64 (sin.f64 a) r)) b (/.f64 (cos.f64 a) (neg.f64 r))) b) |
(/ (+ (* -1 (/ (cos a) r)) (* b (+ (* b (+ (* -1 (* (pow b 2) (- (* 1/24 (/ (cos a) r)) (+ (* -1/6 (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (* 1/120 (/ (cos a) r)))))) (* -1 (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))))) (/ (sin a) r)))) b) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 a) r) (*.f64 (*.f64 (neg.f64 b) b) (fma.f64 (/.f64 (cos.f64 a) r) #s(literal 1/24 binary64) (fma.f64 #s(literal -1/120 binary64) (/.f64 (cos.f64 a) r) (*.f64 (/.f64 (cos.f64 a) r) #s(literal -1/18 binary64)))))) b (/.f64 (sin.f64 a) r)) b (/.f64 (cos.f64 a) (neg.f64 r))) b) |
(/ (cos a) r) |
(/.f64 (cos.f64 a) r) |
(+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r)) |
(fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) |
(+ (* b (+ (* -1 (/ (sin a) r)) (* -1/2 (/ (* b (cos a)) r)))) (/ (cos a) r)) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (cos.f64 a) r) b) #s(literal -1/2 binary64) (/.f64 (neg.f64 (sin.f64 a)) r)) b (/.f64 (cos.f64 a) r)) |
(+ (* b (+ (* -1 (/ (sin a) r)) (* b (+ (* -1/2 (/ (cos a) r)) (* 1/6 (/ (* b (sin a)) r)))))) (/ (cos a) r)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 a) b) r) #s(literal 1/6 binary64) (*.f64 (/.f64 (cos.f64 a) r) #s(literal -1/2 binary64))) b (/.f64 (neg.f64 (sin.f64 a)) r)) b (/.f64 (cos.f64 a) r)) |
(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 (neg.f64 b) (sin.f64 a) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)) (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)) |
(/ 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 r) (cos a)) |
(*.f64 (/.f64 r (cos.f64 a)) b) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
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(/ (* 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))))) |
(+ (* -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) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.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)) (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))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (neg.f64 r) (sin.f64 b))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (neg.f64 r) (sin.f64 b))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (neg.f64 r) (sin.f64 b))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (neg.f64 r) (sin.f64 b))) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 a b)) r) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 a b)) r) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 a b)) r) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 a b)) r) |
(/ (* 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)) (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))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (neg.f64 r) (sin.f64 b))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (neg.f64 r) (sin.f64 b))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (neg.f64 r) (sin.f64 b))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (neg.f64 r) (sin.f64 b))) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 a b)) r) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 a b)) r) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 a b)) r) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 a b)) r) |
(/ (* 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)) (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))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (neg.f64 r) (sin.f64 b))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (neg.f64 r) (sin.f64 b))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (neg.f64 r) (sin.f64 b))) |
(* -1 (/ (cos (+ a b)) (* r (sin b)))) |
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (neg.f64 r) (sin.f64 b))) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 a b)) r) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 a b)) r) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 a b)) r) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 a b)) r) |
(/ (* 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))))) |
| 4 132× | lower-fma.f32 |
| 4 128× | lower-fma.f64 |
| 4 000× | lower-*.f32 |
| 3 990× | lower-*.f64 |
| 3 808× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 191 |
| 0 | 60 | 201 |
| 1 | 188 | 172 |
| 2 | 1164 | 172 |
| 0 | 8399 | 172 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 b #s(approx (cos a) #s(literal 1 binary64))) |
#s(approx (cos a) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) |
#s(approx (cos (+ a b)) (cos.f64 a)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(/.f64 (cos.f64 (+.f64 a b)) r) |
(cos.f64 (+.f64 a b)) |
(/.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 a))))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 a) |
#s(approx (* (cos b) (cos a)) (cos.f64 a)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 r #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)) (*.f64 (neg.f64 r) (sin.f64 b))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (/.f64 r (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(*.f64 (/.f64 (sin.f64 b) (-.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 r (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 a b))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a))))) (*.f64 (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) #s(literal 2 binary64)))) (*.f64 (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a)))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (+.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (neg.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (sin.f64 a) (*.f64 (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (+.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (neg.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a))))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (neg.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (+.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (sin.f64 a) (*.f64 (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a))))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (+.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))) |
(/.f64 (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 a))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) (-.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (sin.f64 a) (*.f64 (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a)))))) (-.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a))))) |
(neg.f64 (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) |
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (neg.f64 (neg.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a))))) |
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) #s(approx (* (cos b) (cos a)) (cos.f64 a))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a))))) (neg.f64 (/.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a))))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (neg.f64 (neg.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (neg.f64 (neg.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a))))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (neg.f64 (neg.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a))))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 a))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (neg.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a))))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))) |
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a))))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a))))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) #s(literal 2 binary64)) (+.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (+.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a))))) (/.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a)))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) |
(-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(+.f64 (neg.f64 (neg.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a))))) (neg.f64 (/.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a))))))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (neg.f64 (neg.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a))))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 a))) |
(+.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(*.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -1/2 binary64)) |
(*.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(neg.f64 (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a))) |
(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64))) |
(cos.f64 a) |
#s(approx (* (cos b) (cos a)) (cos.f64 a)) |
Compiled 32 686 to 2 315 computations (92.9% saved)
84 alts after pruning (79 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 324 | 35 | 1 359 |
| Fresh | 17 | 44 | 61 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 343 | 84 | 1 427 |
| Status | Accuracy | Program |
|---|---|---|
| 56.5% | (/.f64 (/.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| 99.4% | (/.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 77.2% | (/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 (+.f64 a b))) | |
| 98.7% | (/.f64 (/.f64 r (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 36.9% | (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 23.8% | (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64))) | |
| ✓ | 77.3% | (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
| 53.3% | (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) | |
| 71.4% | (/.f64 (/.f64 r (cos.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (-.f64 a b)))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 65.5% | (/.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 56.6% | (/.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 99.4% | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))))) | |
| ✓ | 99.6% | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 58.0% | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) | |
| ▶ | 99.5% | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
| 99.2% | (/.f64 (*.f64 (sin.f64 b) r) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))))) | |
| 98.9% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))))) | |
| 70.6% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) | |
| 37.9% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (*.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b (-.f64 b a)))))))) | |
| 71.5% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (-.f64 a b)))))) | |
| 42.4% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) | |
| 65.6% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) | |
| 57.9% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (cos.f64 b))) | |
| ✓ | 56.7% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) |
| 33.6% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) | |
| 37.1% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) | |
| 52.2% | (/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b))) | |
| 52.2% | (/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| 77.3% | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) | |
| 56.6% | (/.f64 (sin.f64 b) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) r)) | |
| 52.9% | (/.f64 #s(approx (* (sin b) r) (*.f64 r b)) (cos.f64 (+.f64 a b))) | |
| 52.8% | (/.f64 #s(approx (* (sin b) r) (*.f64 b r)) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| 77.3% | (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| 57.5% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a))) (*.f64 r (sin.f64 b)))) | |
| 56.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 r (sin.f64 b)))) | |
| 98.9% | (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r) (neg.f64 (sin.f64 b))) (/.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r) (neg.f64 (sin.f64 b))))) | |
| 98.8% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) | |
| 51.6% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))) | |
| 57.5% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) | |
| 98.8% | (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) | |
| 76.7% | (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 a b)) (/.f64 (/.f64 #s(literal -1 binary64) r) (sin.f64 b)))) | |
| 54.9% | (/.f64 #s(literal -1 binary64) #s(approx (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (/.f64 (fma.f64 (/.f64 (sin.f64 a) r) b (/.f64 (cos.f64 a) (neg.f64 r))) b))) | |
| 57.6% | (/.f64 #s(literal -1 binary64) #s(approx (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (/.f64 (neg.f64 (cos.f64 b)) (*.f64 (sin.f64 b) r)))) | |
| 52.3% | (/.f64 #s(literal -1 binary64) #s(approx (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (/.f64 (neg.f64 (cos.f64 a)) (*.f64 b r)))) | |
| 52.5% | (/.f64 #s(literal -1 binary64) #s(approx (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (-.f64 (/.f64 a r) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))) | |
| 77.2% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) r) | |
| 98.9% | (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) r)) | |
| 77.4% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| 56.7% | (*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b)) | |
| 57.9% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| ▶ | 77.2% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
| 77.3% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r)) | |
| 56.1% | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) | |
| 56.6% | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) (*.f64 r (sin.f64 b))) | |
| 77.3% | (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) | |
| 99.4% | (*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 58.0% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))) | |
| 54.6% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))) | |
| ▶ | 59.2% | (*.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))))) |
| 36.8% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) #s(approx (cos a) #s(literal 1 binary64)))))) | |
| 99.5% | (*.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 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) | |
| 58.0% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) | |
| 54.6% | (*.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) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 b)))))) | |
| ▶ | 57.9% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
| 56.7% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))) | |
| 77.2% | (*.f64 r (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))) | |
| 58.0% | (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (sin.f64 b))) | |
| 77.3% | (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (sin.f64 b))) | |
| 57.8% | (*.f64 r #s(approx (/ (sin b) (exp (neg (* (log (cos (+ a b))) -1)))) (*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (pow.f64 (cos.f64 b) #s(literal -1 binary64))))) | |
| ✓ | 52.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
| 31.3% | (*.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)))))) | |
| 31.4% | (*.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)))))) | |
| 31.2% | (*.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)))))) | |
| ✓ | 33.0% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
| 52.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) | |
| 33.0% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) | |
| 26.6% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 (*.f64 b #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) b)))) | |
| ▶ | 26.7% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
| 37.2% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) | |
| 26.8% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) | |
| 52.8% | #s(approx (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b)) | |
| 57.8% | #s(approx (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
Compiled 3 192 to 1 933 computations (39.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 320 | (*.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))))) | |
| cost-diff | 6016 | (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) | |
| cost-diff | 0 | (cos.f64 (+.f64 a b)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| cost-diff | 1088 | (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| cost-diff | 0 | #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) | |
| cost-diff | 0 | #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) | |
| cost-diff | 0 | #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) | |
| cost-diff | 0 | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) | |
| cost-diff | 0 | (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 (sin.f64 b) r) | |
| cost-diff | 6336 | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
| 3 144× | lower-fma.f32 |
| 3 138× | lower-fma.f64 |
| 2 424× | lower-*.f32 |
| 2 408× | lower-*.f64 |
| 1 392× | div-sub |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 299 |
| 0 | 73 | 294 |
| 1 | 113 | 290 |
| 2 | 173 | 290 |
| 3 | 294 | 290 |
| 4 | 489 | 290 |
| 5 | 736 | 290 |
| 6 | 1315 | 283 |
| 7 | 2142 | 283 |
| 8 | 2803 | 283 |
| 9 | 3819 | 283 |
| 10 | 4744 | 283 |
| 11 | 5334 | 283 |
| 12 | 5917 | 283 |
| 13 | 6257 | 283 |
| 14 | 6454 | 283 |
| 15 | 7095 | 283 |
| 16 | 7591 | 283 |
| 17 | 7915 | 283 |
| 0 | 8014 | 283 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
b |
r |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(cos.f64 b) |
(cos.f64 a) |
a |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
r |
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) |
#s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) |
(fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) |
(*.f64 (*.f64 a a) b) |
(*.f64 a a) |
a |
b |
#s(literal 1/2 binary64) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
r |
(/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(sin.f64 b) |
b |
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) |
(cos.f64 b) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
#s(literal 1 binary64) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
b |
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
r |
(/.f64 #s(literal 1 binary64) (sin.f64 b)) |
(sin.f64 b) |
(*.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))))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
#s(approx (* (cos b) (cos a)) (cos.f64 b)) |
(cos.f64 b) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(/.f64 r (fma.f64 (/.f64 (cos.f64 a) (sin.f64 b)) (cos.f64 b) (neg.f64 (sin.f64 a)))) |
(*.f64 (sin.f64 b) r) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
b |
r |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(cos.f64 b) |
(cos.f64 a) |
a |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) b))) r) |
r |
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) |
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) b))) |
#s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) |
#s(approx (/ b (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) b)) |
(fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) b) |
(*.f64 (*.f64 a a) b) |
(*.f64 a a) |
a |
b |
#s(literal 1/2 binary64) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
r |
(/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
(sin.f64 b) |
b |
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) |
(cos.f64 b) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
#s(literal 1 binary64) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
b |
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 r (sin.f64 b)) |
r |
(/.f64 #s(literal 1 binary64) (sin.f64 b)) |
(sin.f64 b) |
(*.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 (/.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (sin.f64 b)) (sin.f64 a))) |
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 #s(literal -1 binary64) (-.f64 (sin.f64 a) (/.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (sin.f64 b)))) |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
#s(approx (* (cos b) (cos a)) (cos.f64 b)) |
(cos.f64 b) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.10775375976844201 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) | |
| accuracy | 0.1796875 | (*.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))))) | |
| accuracy | 0.21712875976844204 | (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) | |
| accuracy | 29.44223443605408 | #s(approx (* (cos b) (cos a)) (cos.f64 b)) | |
| accuracy | 0.19140625 | (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) | |
| accuracy | 0.265625 | (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| accuracy | 0.28515625 | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| accuracy | 14.377609951338261 | (cos.f64 (+.f64 a b)) | |
| accuracy | 0 | (cos.f64 b) | |
| accuracy | 0.1796875 | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) | |
| accuracy | 0.21712875976844204 | (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) | |
| accuracy | 29.636930932200094 | #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) | |
| accuracy | 0.1796875 | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) | |
| accuracy | 8.728427653337997 | (*.f64 (*.f64 a a) b) | |
| accuracy | 30.25339692659689 | #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) | |
| accuracy | 32.10627623893072 | #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) | |
| accuracy | 0.09375 | (*.f64 (sin.f64 b) r) | |
| accuracy | 0.1073900511575378 | (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) | |
| accuracy | 0.1953125 | (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) | |
| accuracy | 0.250663769536884 | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
| 127.0ms | 185× | 1 | valid |
| 18.0ms | 71× | 0 | valid |
Compiled 249 to 34 computations (86.3% saved)
ival-cos: 28.0ms (25.4% of total)ival-sin: 25.0ms (22.7% of total)ival-mult: 24.0ms (21.8% of total)ival-div: 15.0ms (13.6% of total)adjust: 9.0ms (8.2% of total)ival-add: 7.0ms (6.4% of total)ival-neg: 1.0ms (0.9% 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 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<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 a)) (sin.f64 b))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) #<representation binary64>) () ()) |
#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) (patch (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) #<representation binary64>) () ()) |
#s(alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (patch (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (patch #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) #<representation binary64>) () ()) |
#s(alt (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (patch (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #<representation binary64>) () ()) |
#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) #<representation binary64>) () ()) |
#s(alt (*.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))))) (patch (*.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))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (patch (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 a a) b) (patch (*.f64 (*.f64 a a) b) #<representation binary64>) () ()) |
#s(alt (cos.f64 b) (patch (cos.f64 b) #<representation binary64>) () ()) |
#s(alt #s(approx (* (cos b) (cos a)) (cos.f64 b)) (patch #s(approx (* (cos b) (cos a)) (cos.f64 b)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (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 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (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 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (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 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (cos b) (taylor 0 a) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) #<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 a)) (sin.f64 b))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (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 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (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 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (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 (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) 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 (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) 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 (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) 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 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos b)) (taylor 0 a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) #<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))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) 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 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ()) |
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#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 (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) 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 (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) 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 (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) 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 (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) 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 (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) 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 (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) 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 (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (/ b (cos a)) (taylor inf a) (#s(alt #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ()) |
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#s(alt (/ b (cos a)) (taylor inf a) (#s(alt #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ b (cos a)) (taylor inf a) (#s(alt #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (pow a 2) b)) (taylor inf a) (#s(alt (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) (patch (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) #<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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) #<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) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (patch (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf a) (#s(alt #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (patch #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ 1 (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
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#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
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#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<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)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) #<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 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 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) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) (patch (*.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))))) #<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 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) (patch (*.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))))) #<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 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) (patch (*.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))))) #<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 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) (patch (*.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))))) #<representation binary64>) () ())) ()) |
#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)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#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)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#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)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#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)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sin a) (sin b))) (taylor inf a) (#s(alt (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (patch (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sin a) (sin b))) (taylor inf a) (#s(alt (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (patch (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sin a) (sin b))) (taylor inf a) (#s(alt (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (patch (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sin a) (sin b))) (taylor inf a) (#s(alt (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (patch (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) b) (taylor inf a) (#s(alt (*.f64 (*.f64 a a) b) (patch (*.f64 (*.f64 a a) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) b) (taylor inf a) (#s(alt (*.f64 (*.f64 a a) b) (patch (*.f64 (*.f64 a a) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) b) (taylor inf a) (#s(alt (*.f64 (*.f64 a a) b) (patch (*.f64 (*.f64 a a) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) b) (taylor inf a) (#s(alt (*.f64 (*.f64 a a) b) (patch (*.f64 (*.f64 a a) b) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf a) (#s(alt #s(approx (* (cos b) (cos a)) (cos.f64 b)) (patch #s(approx (* (cos b) (cos a)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf a) (#s(alt #s(approx (* (cos b) (cos a)) (cos.f64 b)) (patch #s(approx (* (cos b) (cos a)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf a) (#s(alt #s(approx (* (cos b) (cos a)) (cos.f64 b)) (patch #s(approx (* (cos b) (cos a)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf a) (#s(alt #s(approx (* (cos b) (cos a)) (cos.f64 b)) (patch #s(approx (* (cos b) (cos a)) (cos.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 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (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 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (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 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (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 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (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 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (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 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (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 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (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 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) #<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 (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) #<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 (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) #<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 (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) #<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 (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (/ b (cos a)) (taylor -inf a) (#s(alt #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ b (cos a)) (taylor -inf a) (#s(alt #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ b (cos a)) (taylor -inf a) (#s(alt #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ b (cos a)) (taylor -inf a) (#s(alt #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (pow a 2) b)) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) (patch (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) (patch (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) (patch (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) (patch (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) 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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (patch (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (patch (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (patch (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (patch (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf a) (#s(alt #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (patch #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf a) (#s(alt #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (patch #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf a) (#s(alt #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (patch #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf a) (#s(alt #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (patch #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (patch (/.f64 #s(literal 1 binary64) (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 (/ (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)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) #<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 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) #<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 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) #<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 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (patch (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 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) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) (patch (*.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))))) #<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 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) (patch (*.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))))) #<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 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) (patch (*.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))))) #<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 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) (patch (*.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))))) #<representation binary64>) () ())) ()) |
#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)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#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)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#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)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#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)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sin a) (sin b))) (taylor -inf a) (#s(alt (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (patch (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sin a) (sin b))) (taylor -inf a) (#s(alt (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (patch (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sin a) (sin b))) (taylor -inf a) (#s(alt (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (patch (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sin a) (sin b))) (taylor -inf a) (#s(alt (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (patch (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) b) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) b) (patch (*.f64 (*.f64 a a) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) b) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) b) (patch (*.f64 (*.f64 a a) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) b) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) b) (patch (*.f64 (*.f64 a a) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) b) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) b) (patch (*.f64 (*.f64 a a) b) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor -inf a) (#s(alt #s(approx (* (cos b) (cos a)) (cos.f64 b)) (patch #s(approx (* (cos b) (cos a)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor -inf a) (#s(alt #s(approx (* (cos b) (cos a)) (cos.f64 b)) (patch #s(approx (* (cos b) (cos a)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor -inf a) (#s(alt #s(approx (* (cos b) (cos a)) (cos.f64 b)) (patch #s(approx (* (cos b) (cos a)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor -inf a) (#s(alt #s(approx (* (cos b) (cos a)) (cos.f64 b)) (patch #s(approx (* (cos b) (cos a)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (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 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (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 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (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 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (* b r) (taylor 0 b) (#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ r (* -1/6 (* (pow b 2) r)))) (taylor 0 b) (#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) (taylor 0 b) (#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<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 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<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 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos a) (* -1 (* b (sin a)))) (taylor 0 b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (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 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (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 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (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 (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) 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 (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) 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 (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) 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 (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ b (cos a)) (taylor 0 b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) 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 (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) 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 (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) 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 (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (/ b (cos a)) (taylor 0 b) (#s(alt #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ b (cos a)) (taylor 0 b) (#s(alt #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ b (cos a)) (taylor 0 b) (#s(alt #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ b (cos a)) (taylor 0 b) (#s(alt #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ()) |
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#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)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) (patch (*.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))))) #<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)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) (patch (*.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))))) #<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)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) (patch (*.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))))) #<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)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) (patch (*.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))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf b) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf b) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf b) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor inf b) (#s(alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) (patch (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sin a) (sin b))) (taylor inf b) (#s(alt (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (patch (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sin a) (sin b))) (taylor inf b) (#s(alt (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (patch (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sin a) (sin b))) (taylor inf b) (#s(alt (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (patch (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sin a) (sin b))) (taylor inf b) (#s(alt (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (patch (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) b) (taylor inf b) (#s(alt (*.f64 (*.f64 a a) b) (patch (*.f64 (*.f64 a a) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) b) (taylor inf b) (#s(alt (*.f64 (*.f64 a a) b) (patch (*.f64 (*.f64 a a) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) b) (taylor inf b) (#s(alt (*.f64 (*.f64 a a) b) (patch (*.f64 (*.f64 a a) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) b) (taylor inf b) (#s(alt (*.f64 (*.f64 a a) b) (patch (*.f64 (*.f64 a a) 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 (* (cos a) (cos b)) (taylor inf b) (#s(alt #s(approx (* (cos b) (cos a)) (cos.f64 b)) (patch #s(approx (* (cos b) (cos a)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf b) (#s(alt #s(approx (* (cos b) (cos a)) (cos.f64 b)) (patch #s(approx (* (cos b) (cos a)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf b) (#s(alt #s(approx (* (cos b) (cos a)) (cos.f64 b)) (patch #s(approx (* (cos b) (cos a)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf b) (#s(alt #s(approx (* (cos b) (cos a)) (cos.f64 b)) (patch #s(approx (* (cos b) (cos a)) (cos.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 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (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 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (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 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (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 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (patch (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf b) (#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf b) (#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf b) (#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf b) (#s(alt (*.f64 (sin.f64 b) r) (patch (*.f64 (sin.f64 b) r) #<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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) (taylor -inf b) (#s(alt (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) #<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) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) #<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) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) #<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) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (patch (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) (patch (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) (patch #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (/ b (cos a)) (taylor -inf b) (#s(alt #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ b (cos a)) (taylor -inf b) (#s(alt #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ b (cos a)) (taylor -inf b) (#s(alt #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ b (cos a)) (taylor -inf b) (#s(alt #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) (patch #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (- (* -1/2 (pow a 2)) 1))) (taylor -inf b) (#s(alt (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) (patch (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (- (* -1/2 (pow a 2)) 1))) (taylor -inf b) (#s(alt (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) (patch (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (- (* -1/2 (pow a 2)) 1))) (taylor -inf b) (#s(alt (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) (patch (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (- (* -1/2 (pow a 2)) 1))) (taylor -inf b) (#s(alt (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b) (patch (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) 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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) (patch (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) #<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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (patch (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) #<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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (patch (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) #<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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (patch (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) #<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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (patch (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (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 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) (patch (*.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))))) #<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)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) (patch (*.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))))) #<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)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) (patch (*.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))))) #<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)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) (patch (*.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))))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | b | @ | inf | ((/ (* (sin b) r) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* (sin b) r) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (+ (* (* (* a a) b) 1/2) b) (* 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) (neg (sin a))) (* (cos b) (cos a))) (/ r (/ 1 (sin b))) (* (/ 1 (cos (+ a b))) (/ r (/ 1 (sin b)))) (/ 1 (cos (+ a b))) (cos (+ a b)) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin a)) (sin b)) (* (* a a) b) (cos b) (* (cos b) (cos a))) |
| 4.0ms | b | @ | -inf | ((/ (* (sin b) r) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* (sin b) r) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (+ (* (* (* a a) b) 1/2) b) (* 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) (neg (sin a))) (* (cos b) (cos a))) (/ r (/ 1 (sin b))) (* (/ 1 (cos (+ a b))) (/ r (/ 1 (sin b)))) (/ 1 (cos (+ a b))) (cos (+ a b)) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin a)) (sin b)) (* (* a a) b) (cos b) (* (cos b) (cos a))) |
| 3.0ms | a | @ | inf | ((/ (* (sin b) r) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* (sin b) r) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (+ (* (* (* a a) b) 1/2) b) (* 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) (neg (sin a))) (* (cos b) (cos a))) (/ r (/ 1 (sin b))) (* (/ 1 (cos (+ a b))) (/ r (/ 1 (sin b)))) (/ 1 (cos (+ a b))) (cos (+ a b)) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin a)) (sin b)) (* (* a a) b) (cos b) (* (cos b) (cos a))) |
| 3.0ms | r | @ | -inf | ((/ (* (sin b) r) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* (sin b) r) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (+ (* (* (* a a) b) 1/2) b) (* 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) (neg (sin a))) (* (cos b) (cos a))) (/ r (/ 1 (sin b))) (* (/ 1 (cos (+ a b))) (/ r (/ 1 (sin b)))) (/ 1 (cos (+ a b))) (cos (+ a b)) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin a)) (sin b)) (* (* a a) b) (cos b) (* (cos b) (cos a))) |
| 3.0ms | a | @ | -inf | ((/ (* (sin b) r) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* (sin b) r) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (+ (* (* (* a a) b) 1/2) b) (* 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) (neg (sin a))) (* (cos b) (cos a))) (/ r (/ 1 (sin b))) (* (/ 1 (cos (+ a b))) (/ r (/ 1 (sin b)))) (/ 1 (cos (+ a b))) (cos (+ a b)) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (neg (sin a)) (sin b)) (* (* a a) b) (cos b) (* (cos b) (cos a))) |
| 1× | egg-herbie |
| 8 750× | lower-fma.f64 |
| 8 750× | lower-fma.f32 |
| 7 380× | lower-*.f64 |
| 7 380× | lower-*.f32 |
| 2 892× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 419 | 7844 |
| 1 | 1318 | 7407 |
| 2 | 4295 | 7330 |
| 0 | 8569 | 7088 |
| 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))) |
(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)))) |
b |
(+ b (* 1/2 (* (pow a 2) b))) |
(+ b (* 1/2 (* (pow a 2) b))) |
(+ b (* 1/2 (* (pow a 2) 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)))))))) |
(/ (* 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)))) |
(/ (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)))))))) |
(* -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))))))))) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) 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))))))) |
(/ (* 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)) |
(* 1/2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2)))) |
(* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2)))) |
(* (pow a 2) (+ (* 1/2 b) (/ b (pow 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))) |
(/ (* 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)) |
(/ (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))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos 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)) |
(* 1/2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2)))) |
(* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2)))) |
(* (pow a 2) (+ (* 1/2 b) (/ b (pow 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))) |
(/ (* 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))) |
(/ (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))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos 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) |
(* 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)))) |
(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 (+ 1 (* 1/2 (pow a 2)))) |
(* b (+ 1 (* 1/2 (pow a 2)))) |
(* b (+ 1 (* 1/2 (pow a 2)))) |
(* b (+ 1 (* 1/2 (pow 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)))) |
(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) |
(* 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)))) |
(/ 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 (+ (* 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)))) |
(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))))))))) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
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))) |
(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))))))) |
(/ (* 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) |
(+ (* -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)) |
(* b (+ 1 (* 1/2 (pow a 2)))) |
(* b (+ 1 (* 1/2 (pow a 2)))) |
(* b (+ 1 (* 1/2 (pow a 2)))) |
(* b (+ 1 (* 1/2 (pow 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))) |
(* 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))) |
(/ 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)) |
(/ (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))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(cos b) |
(cos b) |
(cos b) |
(cos b) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos 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) |
(+ (* -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)) |
(* -1 (* b (- (* -1/2 (pow a 2)) 1))) |
(* -1 (* b (- (* -1/2 (pow a 2)) 1))) |
(* -1 (* b (- (* -1/2 (pow a 2)) 1))) |
(* -1 (* b (- (* -1/2 (pow a 2)) 1))) |
(/ (* 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)) |
(* 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)))) |
(/ 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))) |
(/ (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))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* -1 (* (sin a) (sin b))) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(* (pow a 2) b) |
(cos b) |
(cos b) |
(cos b) |
(cos b) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos 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)) |
(* 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)) |
(* 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)) |
(* 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)) |
(* 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)) |
(* 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))) |
(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)) |
(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 (neg.f64 a) (sin.f64 b) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (*.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)))) 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))) |
(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 (* 1/2 (* (pow a 2) b))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) b) |
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
(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) |
(+ 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)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 b #s(literal 7/360 binary64) (*.f64 b #s(literal -5/48 binary64))) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) b)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) b) |
b |
(+ b (* 1/2 (* (pow a 2) b))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) b) |
(+ b (* 1/2 (* (pow a 2) b))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) b) |
(+ b (* 1/2 (* (pow a 2) b))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) 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 (neg.f64 a) (sin.f64 b) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (*.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)))) 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)))) |
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(/ 1 (cos b)) |
(/.f64 #s(literal 1 binary64) (cos.f64 b)) |
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(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)) |
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(/.f64 (sin.f64 b) (cos.f64 b)) |
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(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
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(cos b) |
(cos.f64 b) |
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(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (*.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)))) 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)))))) |
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(* 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))))))))) |
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(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(cos b) |
(cos.f64 b) |
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(+ (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 (*.f64 (*.f64 (cos.f64 b) (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64))) (*.f64 a a)) (*.f64 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)))) |
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(/ (* 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))))) |
(+ (* -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)) |
(/.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)) |
(* 1/2 (* (pow a 2) b)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b) |
(* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 b (*.f64 a a))) a) a) |
(* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 b (*.f64 a a))) a) a) |
(* (pow a 2) (+ (* 1/2 b) (/ b (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 b (*.f64 a a))) 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))))) |
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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) (+ (* -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))) |
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(/ (* 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))) |
(/ 1 (cos (+ a b))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/ 1 (cos (+ a b))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/ 1 (cos (+ a b))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/ 1 (cos (+ a b))) |
(/.f64 #s(literal 1 binary64) (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)) |
(/ (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))))) |
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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) (+ (* -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)) |
(*.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 (* -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))) |
(/ 1 (cos (- a (* -1 b)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/ 1 (cos (- a (* -1 b)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/ 1 (cos (- a (* -1 b)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/ 1 (cos (- a (* -1 b)))) |
(/.f64 #s(literal 1 binary64) (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)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a 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))))) |
(/ (* 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))))) |
(+ (* -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))) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(* (pow a 2) b) |
(*.f64 (*.f64 a a) b) |
(cos b) |
(cos.f64 b) |
(cos b) |
(cos.f64 b) |
(cos b) |
(cos.f64 b) |
(cos b) |
(cos.f64 b) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.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)) |
(*.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)) |
(*.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)) |
(*.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)) |
(*.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)) |
(*.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))))) |
| 7 870× | lower-fma.f32 |
| 7 864× | lower-fma.f64 |
| 4 292× | lower-*.f32 |
| 4 276× | lower-*.f64 |
| 4 112× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 251 |
| 0 | 73 | 256 |
| 1 | 234 | 207 |
| 2 | 1394 | 207 |
| 0 | 8358 | 207 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b))) |
#s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)) |
(fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) 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) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) |
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) |
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
(/.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 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
(*.f64 (*.f64 a a) b) |
(cos.f64 b) |
#s(approx (* (cos b) (cos a)) (cos.f64 b)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (/.f64 r (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 r (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (/.f64 r (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 r (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (/.f64 r (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 (cos.f64 (-.f64 a b)) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 r (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -1 binary64)) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (/.f64 r (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 r (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 1 binary64)) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (*.f64 (neg.f64 r) (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 1 binary64)) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))) |
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))) |
(*.f64 (/.f64 (*.f64 r #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))) |
(*.f64 (/.f64 (*.f64 r #s(literal -1 binary64)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) |
(*.f64 (/.f64 (*.f64 r #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))))) |
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(*.f64 (/.f64 (*.f64 r #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (fma.f64 (/.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (/.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (/.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (neg.f64 (+.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (neg.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (+.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (*.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (+.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (neg.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (sin.f64 a) (*.f64 (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (+.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (neg.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64)))) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) |
(/.f64 (-.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (sin.f64 a) (*.f64 (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b))))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (+.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))) |
(/.f64 (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))) |
(/.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (-.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (sin.f64 a) (*.f64 (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))) (-.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) |
(neg.f64 (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) |
(fma.f64 (*.f64 (sin.f64 b) #s(literal -1 binary64)) (sin.f64 a) #s(approx (* (cos b) (cos a)) (cos.f64 b))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (neg.f64 (/.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))) |
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) #s(approx (* (cos b) (cos a)) (cos.f64 b))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) |
(-.f64 (/.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (+.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 1 binary64)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (/.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) |
(-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (neg.f64 (/.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) |
(+.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(*.f64 (*.f64 (sin.f64 b) #s(literal -1 binary64)) (sin.f64 a)) |
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) |
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) |
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))))) |
(/.f64 (neg.f64 (sin.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(*.f64 (*.f64 a b) a) |
(*.f64 (*.f64 a a) b) |
(*.f64 a (*.f64 a b)) |
(*.f64 b (*.f64 a a)) |
(cos.f64 b) |
#s(approx (* (cos b) (cos a)) (cos.f64 b)) |
Compiled 36 110 to 2 312 computations (93.6% saved)
93 alts after pruning (84 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 486 | 29 | 1 515 |
| Fresh | 19 | 55 | 74 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 506 | 93 | 1 599 |
| Status | Accuracy | Program |
|---|---|---|
| 99.3% | (/.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| 57.8% | (/.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (/.f64 #s(literal 1 binary64) r)) | |
| 56.5% | (/.f64 (/.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| 99.4% | (/.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 77.2% | (/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 (+.f64 a b))) | |
| 36.9% | (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 23.8% | (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64))) | |
| ✓ | 77.3% | (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
| 53.3% | (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) | |
| 71.4% | (/.f64 (/.f64 r (cos.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (-.f64 a b)))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 65.5% | (/.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 56.6% | (/.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| ✓ | 99.6% | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 58.0% | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) | |
| 99.5% | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (neg.f64 (sin.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b))))) | |
| ✓ | 99.5% | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
| 70.6% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) | |
| 37.9% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (*.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b (-.f64 b a)))))))) | |
| 71.5% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (-.f64 a b)))))) | |
| 42.4% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) | |
| 65.6% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) | |
| 57.9% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (cos.f64 b))) | |
| ✓ | 56.7% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) |
| 33.6% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) | |
| 37.1% | (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) | |
| 52.2% | (/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| 77.3% | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) | |
| 56.6% | (/.f64 (sin.f64 b) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) r)) | |
| 26.6% | (/.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) b))) (/.f64 #s(literal 1 binary64) r)) | |
| 52.9% | (/.f64 #s(approx (* (sin b) r) (*.f64 r b)) (cos.f64 (+.f64 a b))) | |
| 52.8% | (/.f64 #s(approx (* (sin b) r) (*.f64 b r)) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| 57.8% | (/.f64 r (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (sin.f64 b))) | |
| 57.5% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a))) (*.f64 r (sin.f64 b)))) | |
| 57.6% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (sin.f64 b)) r)) | |
| 57.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 r (sin.f64 b)))) | |
| 56.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 r (sin.f64 b)))) | |
| 98.8% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) | |
| 51.6% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))) | |
| 57.5% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) | |
| 98.8% | (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) | |
| 76.7% | (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 a b)) (/.f64 (/.f64 #s(literal -1 binary64) r) (sin.f64 b)))) | |
| 54.9% | (/.f64 #s(literal -1 binary64) #s(approx (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (/.f64 (fma.f64 (/.f64 (sin.f64 a) r) b (/.f64 (cos.f64 a) (neg.f64 r))) b))) | |
| 52.3% | (/.f64 #s(literal -1 binary64) #s(approx (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (/.f64 (neg.f64 (cos.f64 a)) (*.f64 b r)))) | |
| 52.5% | (/.f64 #s(literal -1 binary64) #s(approx (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (-.f64 (/.f64 a r) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))) | |
| 58.3% | (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) #s(literal -1/2 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 77.4% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) | |
| 59.2% | (*.f64 (/.f64 r (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (sin.f64 b)) | |
| 57.8% | (*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (sin.f64 b)) | |
| 56.7% | (*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b)) | |
| 99.3% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 59.2% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (*.f64 r (sin.f64 b))) | |
| 57.9% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 34.2% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))) | |
| 52.9% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r))) | |
| 57.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (*.f64 r (sin.f64 b))) | |
| 54.4% | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 55.1% | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 57.7% | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 56.1% | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) | |
| 56.6% | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) (*.f64 r (sin.f64 b))) | |
| 77.1% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 57.8% | (*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r)) | |
| 77.2% | (*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b))))) | |
| 57.8% | (*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 59.2% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) | |
| 58.0% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))) | |
| ✓ | 59.2% | (*.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))))) |
| 36.8% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) #s(approx (cos b) #s(literal 1 binary64)))))) | |
| 99.5% | (*.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 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) | |
| 59.2% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) | |
| 58.0% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) | |
| 54.6% | (*.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) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 b)))))) | |
| ✓ | 57.9% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
| 56.7% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))) | |
| 33.5% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) | |
| 59.2% | (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (sin.f64 b))) | |
| 58.0% | (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (sin.f64 b))) | |
| ✓ | 52.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
| 31.3% | (*.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)))))) | |
| 31.4% | (*.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)))))) | |
| 31.2% | (*.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)))))) | |
| ✓ | 33.0% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
| 52.8% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) | |
| 33.0% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) | |
| 26.6% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (fma.f64 (*.f64 b #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) b)))) | |
| ✓ | 26.7% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
| 18.6% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 (fma.f64 b b (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 a a)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))))) | |
| 6.4% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b))))) | |
| 37.2% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) | |
| 26.8% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) | |
| 52.8% | #s(approx (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
Compiled 4 447 to 1 504 computations (66.2% saved)
| Inputs |
|---|
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) |
(*.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 (*.f64 b #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.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 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) b))) (/.f64 #s(literal 1 binary64) r)) |
(*.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)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 (fma.f64 b b (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 a a)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))))) |
#s(approx (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
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(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r)) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r) (neg.f64 (sin.f64 b))) (/.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) r) (neg.f64 (sin.f64 b))))) |
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))) r)) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))))) |
(/.f64 (/.f64 r (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(fma.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))))) |
(*.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))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))))) |
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))))) |
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (neg.f64 (fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))))))))) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
5 calls:
| 51.0ms | a |
| 42.0ms | r |
| 42.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 41.0ms | b |
| 41.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 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 34 to 24 computations (29.4% saved)
| Inputs |
|---|
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) |
(*.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 (*.f64 b #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.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 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) b))) (/.f64 #s(literal 1 binary64) r)) |
(*.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)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 (fma.f64 b b (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 a a)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))))) |
#s(approx (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (/.f64 (neg.f64 (cos.f64 a)) (*.f64 b r)))) |
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) #s(approx (cos (+ a b)) (cos.f64 a))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (*.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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (cos.f64 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 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (*.f64 r (sin.f64 b))) |
(/.f64 r (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) r)) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (/.f64 (neg.f64 (cos.f64 b)) (*.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 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (sin.f64 b)) r)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) |
(/.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (/.f64 #s(literal 1 binary64) r)) |
(/.f64 (/.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))) |
(*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b))))) |
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) r) (/.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 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) r) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (-.f64 (/.f64 a r) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 a b)) (/.f64 (/.f64 #s(literal -1 binary64) r) (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (-.f64 a b)))))) |
(/.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (/.f64 (fma.f64 (/.f64 (sin.f64 a) r) b (/.f64 (cos.f64 a) (neg.f64 r))) b))) |
(/.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (/.f64 r (cos.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (-.f64 a b)))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (*.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b (-.f64 b a)))))))) |
(*.f64 r #s(approx (/ (sin b) (exp (neg (* (log (cos (+ a b))) -1)))) (*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (pow.f64 (cos.f64 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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 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)) #s(approx (cos a) #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)) #s(approx (cos b) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (exp (neg (* (log (cos (+ a b))) -1))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64))) |
(*.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) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 b)))))) |
(/.f64 (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) #s(literal -1/2 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 r (sin.f64 b)))) #s(literal -1 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) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(*.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 (/.f64 r (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (sin.f64 b))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (*.f64 r (sin.f64 b))) |
(*.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 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a))) (*.f64 r (sin.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))) |
(*.f64 r (/.f64 (sin.f64 b) (*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a 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))))) |
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (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 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
5 calls:
| 74.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 50.0ms | r |
| 39.0ms | a |
| 39.0ms | b |
| 38.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | r |
| 99.5% | 1 | a |
| 99.5% | 1 | b |
| 99.5% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 99.5% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) |
(*.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 (*.f64 b #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.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 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) b))) (/.f64 #s(literal 1 binary64) r)) |
(*.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)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 (fma.f64 b b (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 a a)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))))) |
#s(approx (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (/.f64 (neg.f64 (cos.f64 a)) (*.f64 b r)))) |
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) #s(approx (cos (+ a b)) (cos.f64 a))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (*.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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (cos.f64 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 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (*.f64 r (sin.f64 b))) |
(/.f64 r (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) r)) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (/.f64 (neg.f64 (cos.f64 b)) (*.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 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (sin.f64 b)) r)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) |
(/.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (/.f64 #s(literal 1 binary64) r)) |
(/.f64 (/.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))) |
(*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b))))) |
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) r) (/.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 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) r) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (-.f64 (/.f64 a r) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 a b)) (/.f64 (/.f64 #s(literal -1 binary64) r) (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (-.f64 a b)))))) |
(/.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (/.f64 (fma.f64 (/.f64 (sin.f64 a) r) b (/.f64 (cos.f64 a) (neg.f64 r))) b))) |
(/.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (/.f64 r (cos.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (-.f64 a b)))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (*.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b (-.f64 b a)))))))) |
(*.f64 r #s(approx (/ (sin b) (exp (neg (* (log (cos (+ a b))) -1)))) (*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (pow.f64 (cos.f64 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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 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)) #s(approx (cos a) #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)) #s(approx (cos b) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (exp (neg (* (log (cos (+ a b))) -1))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64))) |
(*.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) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 b)))))) |
(/.f64 (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) #s(literal -1/2 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 r (sin.f64 b)))) #s(literal -1 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) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(*.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 (/.f64 r (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (sin.f64 b))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (*.f64 r (sin.f64 b))) |
(*.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 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a))) (*.f64 r (sin.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))) |
(*.f64 r (/.f64 (sin.f64 b) (*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a 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))))) |
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (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))))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
5 calls:
| 40.0ms | b |
| 38.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 36.0ms | r |
| 34.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 34.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | r |
| 99.5% | 1 | a |
| 99.5% | 1 | b |
| 99.5% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 99.5% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) |
(*.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 (*.f64 b #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.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 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) b))) (/.f64 #s(literal 1 binary64) r)) |
(*.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)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 (fma.f64 b b (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 a a)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))))) |
#s(approx (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (/.f64 (neg.f64 (cos.f64 a)) (*.f64 b r)))) |
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) #s(approx (cos (+ a b)) (cos.f64 a))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (*.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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (cos.f64 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 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (*.f64 r (sin.f64 b))) |
(/.f64 r (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) r)) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (/.f64 (neg.f64 (cos.f64 b)) (*.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 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (sin.f64 b)) r)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) |
(/.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (/.f64 #s(literal 1 binary64) r)) |
(/.f64 (/.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))) |
(*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b))))) |
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) r) (/.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 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) r) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (-.f64 (/.f64 a r) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 a b)) (/.f64 (/.f64 #s(literal -1 binary64) r) (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (-.f64 a b)))))) |
(/.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (/.f64 (fma.f64 (/.f64 (sin.f64 a) r) b (/.f64 (cos.f64 a) (neg.f64 r))) b))) |
(/.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (/.f64 r (cos.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (-.f64 a b)))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (*.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b (-.f64 b a)))))))) |
(*.f64 r #s(approx (/ (sin b) (exp (neg (* (log (cos (+ a b))) -1)))) (*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (pow.f64 (cos.f64 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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 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)) #s(approx (cos a) #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)) #s(approx (cos b) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (exp (neg (* (log (cos (+ a b))) -1))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64))) |
(*.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) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 b)))))) |
(/.f64 (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) #s(literal -1/2 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 r (sin.f64 b)))) #s(literal -1 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) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(*.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 (/.f64 r (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (sin.f64 b))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (*.f64 r (sin.f64 b))) |
(*.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 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a))) (*.f64 r (sin.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))) |
(*.f64 r (/.f64 (sin.f64 b) (*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a 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))))) |
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (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))))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
5 calls:
| 61.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 41.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 38.0ms | b |
| 35.0ms | r |
| 33.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | r |
| 99.5% | 1 | a |
| 99.5% | 1 | b |
| 99.5% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 99.5% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) |
(*.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 (*.f64 b #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.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 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) b))) (/.f64 #s(literal 1 binary64) r)) |
(*.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)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 (fma.f64 b b (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 a a)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))))) |
#s(approx (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (/.f64 (neg.f64 (cos.f64 a)) (*.f64 b r)))) |
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) #s(approx (cos (+ a b)) (cos.f64 a))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (*.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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (cos.f64 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 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (*.f64 r (sin.f64 b))) |
(/.f64 r (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) r)) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (/.f64 (neg.f64 (cos.f64 b)) (*.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 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (sin.f64 b)) r)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) |
(/.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (/.f64 #s(literal 1 binary64) r)) |
(/.f64 (/.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))) |
(*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 a b))))) |
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) r) (/.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 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) r) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (-.f64 (/.f64 a r) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 a b)) (/.f64 (/.f64 #s(literal -1 binary64) r) (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (-.f64 a b)))))) |
(/.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (/.f64 (fma.f64 (/.f64 (sin.f64 a) r) b (/.f64 (cos.f64 a) (neg.f64 r))) b))) |
(/.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (/.f64 r (cos.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (-.f64 a b)))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (*.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (*.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b (-.f64 b a)))))))) |
(*.f64 r #s(approx (/ (sin b) (exp (neg (* (log (cos (+ a b))) -1)))) (*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (pow.f64 (cos.f64 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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 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)) #s(approx (cos a) #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)) #s(approx (cos b) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (exp (neg (* (log (cos (+ a b))) -1))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (cos.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64))) |
(*.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) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 b)))))) |
(/.f64 (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) #s(literal -1/2 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64)) (cos.f64 b))))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (*.f64 r (sin.f64 b)))) #s(literal -1 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) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(*.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 (/.f64 r (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) (exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (sin.f64 b))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (*.f64 r (sin.f64 b))) |
(*.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 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a))) (*.f64 r (sin.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))) |
(*.f64 r (/.f64 (sin.f64 b) (*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a 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))))) |
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
5 calls:
| 36.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 34.0ms | b |
| 33.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 33.0ms | a |
| 32.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.4% | 1 | r |
| 77.4% | 1 | a |
| 77.4% | 1 | b |
| 77.4% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 77.4% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) |
(*.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 (*.f64 b #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.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 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) b))) (/.f64 #s(literal 1 binary64) r)) |
(*.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)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 (fma.f64 b b (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 a a)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))))) |
#s(approx (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (/.f64 (neg.f64 (cos.f64 a)) (*.f64 b r)))) |
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) #s(approx (cos (+ a b)) (cos.f64 a))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (*.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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos a) (cos b))) (cos.f64 b))) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
5 calls:
| 33.0ms | a |
| 14.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 11.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 11.0ms | b |
| 11.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.1% | 3 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 61.5% | 2 | r |
| 77.3% | 3 | a |
| 77.6% | 3 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 77.6% | 3 | b |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) |
(*.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 (*.f64 b #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.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 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) b))) (/.f64 #s(literal 1 binary64) r)) |
(*.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)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 (fma.f64 b b (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 a a)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))))) |
#s(approx (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (/.f64 (neg.f64 (cos.f64 a)) (*.f64 b r)))) |
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) #s(approx (cos (+ a b)) (cos.f64 a))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (*.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 (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
2 calls:
| 13.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 10.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.5% | 3 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 77.5% | 3 | b |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) |
(*.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 (*.f64 b #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.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 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) b))) (/.f64 #s(literal 1 binary64) r)) |
(*.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)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 (fma.f64 b b (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 a a)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))))) |
#s(approx (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (/.f64 (neg.f64 (cos.f64 a)) (*.f64 b r)))) |
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) #s(approx (cos (+ a b)) (cos.f64 a))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
#s(approx (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) |
2 calls:
| 12.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 9.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.5% | 3 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 77.5% | 3 | b |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) |
(*.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 (*.f64 b #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.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 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) b))) (/.f64 #s(literal 1 binary64) r)) |
(*.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)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 (fma.f64 b b (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 a a)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))))) |
#s(approx (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (/.f64 (neg.f64 (cos.f64 a)) (*.f64 b r)))) |
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) #s(approx (cos (+ a b)) (cos.f64 a))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (/.f64 #s(literal -1 binary64) #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (/ 1 (sin b)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) |
5 calls:
| 10.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 9.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 8.0ms | b |
| 8.0ms | a |
| 8.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.3% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 53.3% | 1 | r |
| 53.3% | 1 | a |
| 56.9% | 3 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 56.9% | 3 | b |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) |
(*.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 (*.f64 b #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.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 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) b))) (/.f64 #s(literal 1 binary64) r)) |
(*.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)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 (fma.f64 b b (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 a a)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))))) |
#s(approx (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (cos (+ a b)) r) (/ -1 (sin b))) (/.f64 (neg.f64 (cos.f64 a)) (*.f64 b r)))) |
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) #s(approx (cos (+ a b)) (cos.f64 a))) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) |
2 calls:
| 7.0ms | b |
| 6.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.8% | 3 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 56.8% | 3 | b |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) |
(*.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 (*.f64 b #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.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 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) b))) (/.f64 #s(literal 1 binary64) r)) |
(*.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)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 (fma.f64 b b (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 a a)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))))) |
#s(approx (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) #s(approx (cos (+ a b)) (cos.f64 a))) |
| Outputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
5 calls:
| 6.0ms | b |
| 4.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 4.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 4.0ms | a |
| 4.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.8% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 52.8% | 1 | r |
| 52.8% | 1 | a |
| 52.8% | 1 | b |
| 52.8% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) |
(*.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 (*.f64 b #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.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 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) b))) (/.f64 #s(literal 1 binary64) r)) |
(*.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)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 (fma.f64 b b (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 a a)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))))) |
#s(approx (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
| Outputs |
|---|
#s(approx (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
5 calls:
| 18.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 4.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 4.0ms | b |
| 4.0ms | a |
| 4.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.8% | 1 | r |
| 52.8% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 52.8% | 1 | a |
| 52.8% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 52.8% | 1 | b |
Compiled 34 to 24 computations (29.4% saved)
Total -18.1b remaining (-42.3%)
Threshold costs -18.1b (-42.3%)
| Inputs |
|---|
(*.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)) #s(approx (+ (* (* (* a a) b) 1/2) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) b))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/2 binary64) b)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))) |
(*.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 (*.f64 b #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.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 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b) b))) (/.f64 #s(literal 1 binary64) r)) |
(*.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)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (/.f64 (fma.f64 b b (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 a a)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))))) |
| Outputs |
|---|
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
5 calls:
| 6.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 4.0ms | r |
| 4.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 3.0ms | a |
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.0% | 1 | r |
| 33.0% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 33.0% | 1 | a |
| 33.0% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 33.0% | 1 | b |
Compiled 34 to 24 computations (29.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 9.01761332532706e-14 | 1.0474102453518066e-7 |
| 26.0ms | -284.8459026188329 | -3.3282553491765942e-18 |
| 27.0ms | 164× | 1 | valid |
| 10.0ms | 156× | 0 | valid |
Compiled 475 to 314 computations (33.9% saved)
ival-cos: 8.0ms (32.3% of total)ival-sin: 5.0ms (20.2% of total)ival-add: 3.0ms (12.1% of total)adjust: 3.0ms (12.1% of total)ival-mult: 3.0ms (12.1% of total)ival-div: 2.0ms (8.1% 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 | 9.01761332532706e-14 | 1.0474102453518066e-7 |
| 12.0ms | -284.8459026188329 | -3.3282553491765942e-18 |
Compiled 475 to 314 computations (33.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 9.01761332532706e-14 | 1.0474102453518066e-7 |
| 1.0ms | -284.8459026188329 | -3.3282553491765942e-18 |
Compiled 475 to 314 computations (33.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 1.7645565272192515e-6 | 479358.1449595638 |
| 14.0ms | -862.2867822203506 | -284.8459026188329 |
| 20.0ms | 126× | 1 | valid |
| 13.0ms | 114× | 0 | valid |
Compiled 495 to 329 computations (33.5% saved)
ival-sin: 9.0ms (35.5% of total)ival-cos: 8.0ms (31.6% of total)ival-add: 2.0ms (7.9% of total)ival-div: 2.0ms (7.9% of total)adjust: 2.0ms (7.9% of total)ival-mult: 2.0ms (7.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.764556527221083e-6 | 0.05497549712709789 |
| 0.0ms | -0.059710181965676665 | -0.022339101142737645 |
Compiled 15 to 14 computations (6.7% saved)
| 1× | egg-herbie |
| 34× | *-commutative_binary64 |
| 10× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 385 |
| 1 | 108 | 385 |
| 2 | 117 | 385 |
| 3 | 122 | 385 |
| 4 | 125 | 385 |
| 5 | 126 | 385 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(*.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 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(if (<=.f64 b #s(literal -1770887431076117/295147905179352825856 binary64)) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b))) (if (<=.f64 b #s(literal 3929008913747545/37778931862957161709568 binary64)) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))))) |
(if (<=.f64 b #s(literal -1770887431076117/295147905179352825856 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) (if (<=.f64 b #s(literal 3929008913747545/37778931862957161709568 binary64)) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))))) |
(if (<=.f64 b #s(literal -1770887431076117/295147905179352825856 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 3929008913747545/37778931862957161709568 binary64)) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))) |
(if (<=.f64 b #s(literal -390 binary64)) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 42000 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -3602879701896397/72057594037927936 binary64)) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 4722366482869645/2361183241434822606848 binary64)) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
#s(approx (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b)) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (*.f64 r (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 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) |
(*.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) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) r) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) r) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(if (<=.f64 b #s(literal -1770887431076117/295147905179352825856 binary64)) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b))) (if (<=.f64 b #s(literal 3929008913747545/37778931862957161709568 binary64)) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))))) |
(if (<=.f64 b #s(literal -1770887431076117/295147905179352825856 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) (if (<=.f64 b #s(literal 3929008913747545/37778931862957161709568 binary64)) (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r))) |
(if (<=.f64 b #s(literal -1770887431076117/295147905179352825856 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) (if (<=.f64 b #s(literal 3929008913747545/37778931862957161709568 binary64)) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))))) |
(if (<=.f64 b #s(literal -1770887431076117/295147905179352825856 binary64)) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r) (if (<=.f64 b #s(literal 3929008913747545/37778931862957161709568 binary64)) (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))) r))) |
(if (<=.f64 b #s(literal -1770887431076117/295147905179352825856 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 3929008913747545/37778931862957161709568 binary64)) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))) |
(if (<=.f64 b #s(literal -1770887431076117/295147905179352825856 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 3929008913747545/37778931862957161709568 binary64)) (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))))) |
(if (<=.f64 b #s(literal -390 binary64)) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 42000 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b)))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))))) |
(if (<=.f64 b #s(literal -390 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 42000 binary64)) (*.f64 (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))) r) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -3602879701896397/72057594037927936 binary64)) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 4722366482869645/2361183241434822606848 binary64)) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -3602879701896397/72057594037927936 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 4722366482869645/2361183241434822606848 binary64)) (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))))) |
(*.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) |
#s(approx (/ (/ r (cos (+ a b))) (/ 1 (sin b))) (*.f64 (/.f64 r (cos.f64 a)) 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) |
| 9 798× | lower-fma.f64 |
| 9 798× | lower-fma.f32 |
| 9 408× | lower-fma.f64 |
| 9 408× | lower-fma.f32 |
| 8 074× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 411 | 6903 |
| 1 | 1301 | 6557 |
| 2 | 4172 | 6490 |
| 0 | 8144 | 6278 |
| 0 | 8 | 22 |
| 0 | 13 | 22 |
| 1 | 44 | 22 |
| 2 | 234 | 22 |
| 3 | 1985 | 22 |
| 0 | 10212 | 22 |
| 0 | 215 | 1226 |
| 1 | 660 | 1174 |
| 2 | 2060 | 1116 |
| 3 | 7691 | 1116 |
| 0 | 8271 | 1075 |
| 0 | 723 | 8852 |
| 1 | 2433 | 8224 |
| 0 | 8357 | 7962 |
| 0 | 34 | 176 |
| 0 | 59 | 202 |
| 1 | 175 | 134 |
| 2 | 916 | 134 |
| 0 | 8411 | 134 |
| 1× | fuel |
| 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 |
Compiled 699 to 308 computations (55.9% saved)
(negabs r)
Compiled 874 to 338 computations (61.3% saved)
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