
Time bar (total: 11.9s)
| 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)
| 1.3s | 5 823× | 1 | valid |
| 176.0ms | 2 433× | 0 | valid |
ival-cos: 330.0ms (29.3% of total)ival-sin: 317.0ms (28.2% of total)ival-mult: 158.0ms (14% of total)adjust: 113.0ms (10% of total)ival-add: 111.0ms (9.9% of total)ival-div: 87.0ms (7.7% of total)ival-true: 6.0ms (0.5% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 63 | 131 | (1.2578695449283258e-50 6.290837995961224e+225 -4.5227427831324364e-274) | 0 | - | (cos.f64 (+.f64 a b)) |
| 0 | 0 | - | 0 | - | (+.f64 a b) |
| 0 | 0 | - | 0 | - | (sin.f64 b) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (*.f64 r (sin.f64 b)) |
| 0 | 0 | - | 0 | - | r |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
cos.f64 | (cos.f64 (+.f64 a b)) | sensitivity | 194 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 63 | 0 |
| - | 131 | 62 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 63 | 0 | 0 |
| - | 131 | 0 | 62 |
| number | freq |
|---|---|
| 0 | 62 |
| 1 | 194 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 70.0ms | 368× | 1 | valid |
| 13.0ms | 144× | 0 | valid |
Compiled 66 to 28 computations (57.6% saved)
ival-sin: 22.0ms (35.9% of total)ival-cos: 17.0ms (27.7% of total)ival-add: 7.0ms (11.4% of total)adjust: 7.0ms (11.4% of total)ival-div: 4.0ms (6.5% of total)ival-mult: 4.0ms (6.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 692× | times-frac |
| 392× | associate-*r* |
| 382× | unsub-neg |
| 370× | div-sub |
| 360× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 88 |
| 1 | 89 | 84 |
| 2 | 193 | 84 |
| 3 | 478 | 84 |
| 4 | 1399 | 84 |
| 5 | 2338 | 84 |
| 6 | 2925 | 84 |
| 7 | 3299 | 84 |
| 8 | 3481 | 84 |
| 9 | 3698 | 84 |
| 10 | 3927 | 84 |
| 11 | 3933 | 84 |
| 12 | 3933 | 84 |
| 13 | 3941 | 84 |
| 14 | 3961 | 84 |
| 15 | 3969 | 84 |
| 16 | 3969 | 84 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 17 | 9 |
| 2 | 20 | 9 |
| 3 | 21 | 9 |
| 0 | 21 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(negabs r)
Compiled 12 to 8 computations (33.3% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.2% | (/.f64 (*.f64 r (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 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 12× | lower-*.f32 |
| 10× | lower-*.f64 |
| 6× | *-commutative |
| 6× | lower-/.f32 |
| 4× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 25 |
| 0 | 13 | 25 |
| 1 | 17 | 25 |
| 2 | 20 | 25 |
| 3 | 21 | 25 |
| 0 | 21 | 25 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 b a)) |
(+.f64 a b) |
(+.f64 b a) |
a |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (sin.f64 b) | |
| accuracy | 0.140625 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.234375 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) | |
| accuracy | 13.811578966965195 | (cos.f64 (+.f64 a b)) |
| 34.0ms | 184× | 1 | valid |
| 12.0ms | 72× | 0 | valid |
Compiled 27 to 10 computations (63% saved)
ival-cos: 8.0ms (32.8% of total)ival-sin: 6.0ms (24.6% of total)adjust: 3.0ms (12.3% of total)ival-add: 2.0ms (8.2% of total)ival-div: 2.0ms (8.2% of total)ival-mult: 2.0ms (8.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ()) |
#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ()) |
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ()) |
#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) (patch (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor 0 r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor 0 r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor 0 r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor 0 r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* b r) (taylor 0 b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ r (* -1/6 (* (pow b 2) r)))) (taylor 0 b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) (taylor 0 b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) (taylor 0 b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt 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 (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 (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 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 (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 (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 a b)) (patch (cos.f64 (+.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (cos a) (taylor 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 (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 (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>) () ())) ()) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | r | @ | 0 | (/ (* r (sin b)) (cos (+ a b))) |
| 1.0ms | b | @ | inf | (/ (* r (sin b)) (cos (+ a b))) |
| 1.0ms | a | @ | inf | (/ (* r (sin b)) (cos (+ a b))) |
| 1.0ms | b | @ | 0 | (/ (* r (sin b)) (cos (+ a b))) |
| 1.0ms | r | @ | inf | (/ (* r (sin b)) (cos (+ a b))) |
| 1× | egg-herbie |
| 10 934× | lower-fma.f64 |
| 10 934× | lower-fma.f32 |
| 4 746× | lower-*.f64 |
| 4 746× | lower-*.f32 |
| 2 894× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 960 |
| 1 | 517 | 928 |
| 2 | 1595 | 886 |
| 3 | 5409 | 885 |
| 0 | 8292 | 853 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* 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))) |
(/ (* 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 (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 (* -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 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin 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)))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* 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))))))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
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)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 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)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
| Outputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* b r) (cos a)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(* 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 b (fma.f64 b (fma.f64 b (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 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)))) |
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 b (-.f64 (/.f64 (*.f64 (sin.f64 a) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 r (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) |
(+ (* 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 a (fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (neg.f64 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 a (-.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (fma.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (*.f64 a (fma.f64 (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))) a)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(* 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)) |
(*.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)) |
(*.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)) |
(* b r) |
(*.f64 r b) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r)) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 r (*.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 r #s(literal -1/6 binary64))) r)) |
(* 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)) |
(*.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)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
| 6 510× | lower-*.f32 |
| 6 508× | lower-*.f64 |
| 3 846× | lower-fma.f64 |
| 3 846× | lower-fma.f32 |
| 3 176× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 44 | 19 |
| 2 | 234 | 19 |
| 3 | 2050 | 19 |
| 0 | 8441 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(cos.f64 (+.f64 a b)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) (neg.f64 r)))) |
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) (neg.f64 r)) #s(literal 1 binary64)) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) #s(literal -1 binary64)) (cos.f64 (+.f64 b a))) |
(pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) (neg.f64 r))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a))))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.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) 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) (sin.f64 a)) (cos.f64 (-.f64 a b))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) |
(neg.f64 (*.f64 (sin.f64 b) (neg.f64 r))) |
(*.f64 r (sin.f64 b)) |
(*.f64 r (neg.f64 (sin.f64 (neg.f64 b)))) |
(*.f64 r (*.f64 (sin.f64 b) #s(literal 1 binary64))) |
(*.f64 (sin.f64 b) r) |
(*.f64 (sin.f64 b) (neg.f64 (neg.f64 r))) |
(*.f64 (sin.f64 b) (*.f64 r #s(literal 1 binary64))) |
(*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) |
(*.f64 (sin.f64 (neg.f64 b)) (neg.f64 r)) |
(*.f64 (neg.f64 r) (sin.f64 (neg.f64 b))) |
(*.f64 (neg.f64 (sin.f64 (neg.f64 b))) r) |
(*.f64 (neg.f64 (neg.f64 r)) (sin.f64 b)) |
(sin.f64 b) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(+.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) |
(+.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))))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))) |
(cos.f64 (+.f64 b a)) |
(cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))) |
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))) |
(cos.f64 (/.f64 (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 a (-.f64 a b) (*.f64 b b)))) |
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (neg.f64 (-.f64 a b))) (-.f64 a b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) |
(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.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 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) (/.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.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) 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) (sin.f64 a)) (cos.f64 (-.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) 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 (-.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 a b)))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (neg.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (neg.f64 (/.f64 (*.f64 b b) (-.f64 a b)))))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (sin.f64 a) (sin.f64 (neg.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.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))))) |
(neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(/.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) 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) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.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) 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) (sin.f64 a)) (cos.f64 (-.f64 a b))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.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) 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 1/2 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 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #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) 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) (sin.f64 a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) |
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #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 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (neg.f64 (cos.f64 (-.f64 a b)))) |
(/.f64 (-.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal -2 binary64)) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64)) |
(pow.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(pow.f64 (/.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 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)) |
(*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #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) 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) (sin.f64 a)) (cos.f64 (-.f64 a b)))))) |
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) |
Compiled 3 974 to 536 computations (86.5% saved)
33 alts after pruning (33 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 200 | 33 | 233 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 201 | 33 | 234 |
| Status | Accuracy | Program |
|---|---|---|
| 46.8% | (pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 78.0% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) | |
| ▶ | 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 98.3% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.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) 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 1/2 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 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))) | |
| 78.2% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b)))) | |
| 78.2% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) | |
| 78.1% | (/.f64 (*.f64 r (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))))) (cos.f64 (-.f64 a b))) (/.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 a b))))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| 78.1% | (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) | |
| ▶ | 62.0% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) |
| 62.6% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) | |
| ▶ | 49.0% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) |
| 65.1% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) | |
| 51.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| 47.3% | (/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b))) | |
| 47.4% | (/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b))) | |
| 47.9% | (/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b))) | |
| 47.4% | (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) | |
| 78.2% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 78.0% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) | |
| 78.1% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) | |
| 78.1% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) | |
| 78.2% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) | |
| 78.2% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) | |
| 78.2% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) | |
| ▶ | 78.3% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
| 78.0% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) | |
| 78.2% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) | |
| 78.1% | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) | |
| 38.9% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) | |
| ▶ | 47.8% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
| 65.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
Compiled 1 296 to 782 computations (39.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) | |
| cost-diff | 6080 | (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) | |
| cost-diff | 0 | #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) | |
| cost-diff | 0 | (+.f64 b a) | |
| cost-diff | 0 | (cos.f64 (+.f64 b a)) | |
| cost-diff | 0 | (/.f64 r (cos.f64 (+.f64 b a))) | |
| cost-diff | 0 | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) | |
| cost-diff | 0 | (cos.f64 a) | |
| cost-diff | 0 | (*.f64 r b) | |
| cost-diff | 0 | (/.f64 (*.f64 r b) (cos.f64 a)) | |
| cost-diff | 0 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) | |
| cost-diff | 0 | (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 2 408× | lower-fma.f32 |
| 2 404× | lower-fma.f64 |
| 1 624× | lower-*.f32 |
| 1 610× | lower-*.f64 |
| 632× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 247 |
| 0 | 62 | 247 |
| 1 | 98 | 247 |
| 2 | 141 | 247 |
| 3 | 214 | 247 |
| 4 | 297 | 247 |
| 5 | 413 | 247 |
| 6 | 655 | 247 |
| 7 | 1121 | 247 |
| 8 | 1829 | 247 |
| 9 | 2268 | 247 |
| 10 | 2781 | 247 |
| 11 | 3302 | 247 |
| 12 | 3672 | 247 |
| 13 | 3711 | 247 |
| 14 | 3737 | 247 |
| 15 | 3755 | 247 |
| 16 | 3755 | 247 |
| 17 | 4011 | 247 |
| 18 | 4148 | 247 |
| 19 | 4180 | 247 |
| 20 | 4252 | 247 |
| 21 | 4338 | 247 |
| 22 | 4346 | 247 |
| 23 | 4370 | 247 |
| 24 | 4414 | 247 |
| 0 | 4414 | 247 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(sin.f64 (neg.f64 b)) |
(neg.f64 b) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 a) |
(cos.f64 b) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 r b) |
r |
b |
(cos.f64 a) |
a |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(/.f64 r (cos.f64 (+.f64 b a))) |
r |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
b |
a |
(sin.f64 b) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
#s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(cos.f64 a) |
a |
(*.f64 b (sin.f64 a)) |
(sin.f64 a) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
#s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) |
(fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) |
a |
(-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) |
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 b)) |
#s(literal -1/2 binary64) |
(cos.f64 b) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(sin.f64 (neg.f64 b)) |
(neg.f64 b) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 a) |
(cos.f64 b) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r b) |
r |
b |
(cos.f64 a) |
a |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
r |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
b |
a |
(sin.f64 b) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
#s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(cos.f64 a) |
a |
(*.f64 b (sin.f64 a)) |
(sin.f64 a) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (*.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (sin.f64 b) a)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
#s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) |
#s(approx (cos (+ a b)) (-.f64 (*.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (sin.f64 b) a))) |
(fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) |
(-.f64 (*.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (sin.f64 b) a)) |
a |
(-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) |
(-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) |
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) |
(*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 b)) |
(*.f64 (cos.f64 b) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(cos.f64 b) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.140625 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.14453125 | (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) | |
| accuracy | 0.234375 | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) | |
| accuracy | 28.840644658868996 | #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) | |
| accuracy | 0.12109375 | (*.f64 b (sin.f64 a)) | |
| accuracy | 0.140625 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.234375 | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) | |
| accuracy | 32.7907245654645 | #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) | |
| accuracy | 0.0078125 | (sin.f64 b) | |
| accuracy | 0.17578125 | (/.f64 r (cos.f64 (+.f64 b a))) | |
| accuracy | 0.228847509768442 | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) | |
| accuracy | 13.811578966965195 | (cos.f64 (+.f64 b a)) | |
| accuracy | 0 | (*.f64 r b) | |
| accuracy | 0.00390625 | (cos.f64 a) | |
| accuracy | 0.12109375 | (/.f64 (*.f64 r b) (cos.f64 a)) | |
| accuracy | 33.31951014087929 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) | |
| accuracy | 0.07421875 | (*.f64 (cos.f64 a) (cos.f64 b)) | |
| accuracy | 0.137555934065628 | (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) | |
| accuracy | 0.140625 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.234375 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 166.0ms | 184× | 1 | valid |
| 24.0ms | 72× | 0 | valid |
Compiled 201 to 33 computations (83.6% saved)
ival-cos: 37.0ms (28.9% of total)ival-sin: 30.0ms (23.5% of total)ival-mult: 27.0ms (21.1% of total)adjust: 12.0ms (9.4% of total)ival-div: 9.0ms (7% of total)ival-add: 8.0ms (6.3% of total)ival-sub: 4.0ms (3.1% of total)ival-neg: 1.0ms (0.8% 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 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ()) |
#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ()) |
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) (patch #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 r b) (cos.f64 a)) (patch (/.f64 (*.f64 r b) (cos.f64 a)) #<representation binary64>) () ()) |
#s(alt (*.f64 r b) (patch (*.f64 r b) #<representation binary64>) () ()) |
#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) (patch (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) #<representation binary64>) () ()) |
#s(alt (/.f64 r (cos.f64 (+.f64 b a))) (patch (/.f64 r (cos.f64 (+.f64 b a))) #<representation binary64>) () ()) |
#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ()) |
#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #<representation binary64>) () ()) |
#s(alt #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (patch #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) (patch (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ()) |
#s(alt (*.f64 b (sin.f64 a)) (patch (*.f64 b (sin.f64 a)) #<representation binary64>) () ()) |
#s(alt #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) #<representation binary64>) () ()) |
#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor 0 r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor 0 r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor 0 r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor 0 r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* b r) (taylor 0 b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
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#s(alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) (taylor 0 b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) (taylor 0 b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt 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 (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 (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) (taylor 0 b) (#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos a) (* -1 (* b (sin a)))) (taylor 0 b) (#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) (taylor 0 b) (#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.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 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) (taylor inf b) (#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) (taylor inf b) (#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) (taylor inf b) (#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) #<representation binary64>) () ())) ()) |
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#s(alt (cos b) (taylor 0 a) (#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) #<representation binary64>) () ())) ()) |
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#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ()) |
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#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt (cos b) (taylor 0 a) (#s(alt #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (patch #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (patch #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (taylor 0 a) (#s(alt #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (patch #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) (taylor 0 a) (#s(alt #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (patch #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (patch #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (patch #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (patch #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (patch #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (patch #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (patch #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (patch #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (patch #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (cos a) (taylor 0 b) (#s(alt #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (patch #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos a) (* -1 (* b (sin a)))) (taylor 0 b) (#s(alt #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (patch #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor 0 b) (#s(alt #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (patch #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) (taylor 0 b) (#s(alt #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (patch #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (patch #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (patch #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (patch #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (patch #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (patch #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (patch #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (patch #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (patch #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (cos b) (taylor 0 a) (#s(alt (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) (patch (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) (patch (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (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 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) (patch (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (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 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) (patch (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (pow a 2) (cos b))) (taylor inf a) (#s(alt (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) (patch (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) (taylor inf a) (#s(alt (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) (patch (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (sin b) a))) (taylor inf a) (#s(alt (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) (patch (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (sin b) a))) (taylor inf a) (#s(alt (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) (patch (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (pow a 2) (cos b))) (taylor -inf a) (#s(alt (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) (patch (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) (taylor -inf a) (#s(alt (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) (patch (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b)))) (taylor -inf a) (#s(alt (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) (patch (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b)))) (taylor -inf a) (#s(alt (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) (patch (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow a 2))) (taylor 0 b) (#s(alt (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) (patch (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) (taylor 0 b) (#s(alt (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) (patch (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (* 1/4 (pow a 2)) 1/2)))))) (taylor 0 b) (#s(alt (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) (patch (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (+ (* 1/6 (* a b)) (* 1/4 (pow a 2))) 1/2)))))) (taylor 0 b) (#s(alt (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) (patch (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (taylor inf b) (#s(alt (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) (patch (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (taylor inf b) (#s(alt (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) (patch (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (taylor inf b) (#s(alt (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) (patch (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (taylor inf b) (#s(alt (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) (patch (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (taylor -inf b) (#s(alt (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) (patch (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (taylor -inf b) (#s(alt (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) (patch (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (taylor -inf b) (#s(alt (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) (patch (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (taylor -inf b) (#s(alt (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) (patch (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (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 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (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 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (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 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (patch (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (cos b) (taylor 0 a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) (taylor 0 a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) (taylor 0 a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) (taylor 0 a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor -inf a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor -inf a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor -inf a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor -inf a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (cos a) (taylor 0 b) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) (taylor 0 b) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) (taylor 0 b) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) (taylor 0 b) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf b) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf b) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf b) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf b) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor -inf b) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor -inf b) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor -inf b) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor -inf b) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* b (sin a)) (taylor 0 b) (#s(alt (*.f64 b (sin.f64 a)) (patch (*.f64 b (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (sin a)) (taylor 0 b) (#s(alt (*.f64 b (sin.f64 a)) (patch (*.f64 b (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (sin a)) (taylor 0 b) (#s(alt (*.f64 b (sin.f64 a)) (patch (*.f64 b (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (sin a)) (taylor 0 b) (#s(alt (*.f64 b (sin.f64 a)) (patch (*.f64 b (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (sin a)) (taylor inf b) (#s(alt (*.f64 b (sin.f64 a)) (patch (*.f64 b (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (sin a)) (taylor inf b) (#s(alt (*.f64 b (sin.f64 a)) (patch (*.f64 b (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (sin a)) (taylor inf b) (#s(alt (*.f64 b (sin.f64 a)) (patch (*.f64 b (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (sin a)) (taylor inf b) (#s(alt (*.f64 b (sin.f64 a)) (patch (*.f64 b (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (sin a)) (taylor -inf b) (#s(alt (*.f64 b (sin.f64 a)) (patch (*.f64 b (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (sin a)) (taylor -inf b) (#s(alt (*.f64 b (sin.f64 a)) (patch (*.f64 b (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (sin a)) (taylor -inf b) (#s(alt (*.f64 b (sin.f64 a)) (patch (*.f64 b (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (sin a)) (taylor -inf b) (#s(alt (*.f64 b (sin.f64 a)) (patch (*.f64 b (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* a b) (taylor 0 a) (#s(alt (*.f64 b (sin.f64 a)) (patch (*.f64 b (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ b (* -1/6 (* (pow a 2) b)))) (taylor 0 a) (#s(alt (*.f64 b (sin.f64 a)) (patch (*.f64 b (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ b (* (pow a 2) (+ (* -1/6 b) (* 1/120 (* (pow a 2) b)))))) (taylor 0 a) (#s(alt (*.f64 b (sin.f64 a)) (patch (*.f64 b (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ b (* (pow a 2) (+ (* -1/6 b) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) b)) (* 1/120 b))))))) (taylor 0 a) (#s(alt (*.f64 b (sin.f64 a)) (patch (*.f64 b (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (sin a)) (taylor inf a) (#s(alt (*.f64 b (sin.f64 a)) (patch (*.f64 b (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (sin a)) (taylor inf a) (#s(alt (*.f64 b (sin.f64 a)) (patch (*.f64 b (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (sin a)) (taylor inf a) (#s(alt (*.f64 b (sin.f64 a)) (patch (*.f64 b (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (sin a)) (taylor inf a) (#s(alt (*.f64 b (sin.f64 a)) (patch (*.f64 b (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (sin a)) (taylor -inf a) (#s(alt (*.f64 b (sin.f64 a)) (patch (*.f64 b (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (sin a)) (taylor -inf a) (#s(alt (*.f64 b (sin.f64 a)) (patch (*.f64 b (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (sin a)) (taylor -inf a) (#s(alt (*.f64 b (sin.f64 a)) (patch (*.f64 b (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (sin a)) (taylor -inf a) (#s(alt (*.f64 b (sin.f64 a)) (patch (*.f64 b (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (cos b) (taylor 0 a) (#s(alt #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (taylor 0 a) (#s(alt #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 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 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (cos a) (taylor 0 b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos a) (* -1 (* b (sin a)))) (taylor 0 b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor 0 b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 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 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) (patch #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* a (cos b))) (taylor 0 a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* a (cos b))) (taylor 0 a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* a (cos b))) (taylor 0 a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* a (cos b))) (taylor 0 a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* a (cos b))) (taylor inf a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* a (cos b))) (taylor inf a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* a (cos b))) (taylor inf a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* a (cos b))) (taylor inf a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* a (cos b))) (taylor -inf a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* a (cos b))) (taylor -inf a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* a (cos b))) (taylor -inf a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* a (cos b))) (taylor -inf a) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 a) (taylor 0 b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 a) (* 1/4 (* a (pow b 2)))) (taylor 0 b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a)))) (taylor 0 b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2)))))))) (taylor 0 b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* a (cos b))) (taylor inf b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* a (cos b))) (taylor inf b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* a (cos b))) (taylor inf b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* a (cos b))) (taylor inf b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* a (cos b))) (taylor -inf b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* a (cos b))) (taylor -inf b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* a (cos b))) (taylor -inf b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* a (cos b))) (taylor -inf b) (#s(alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (patch (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) #<representation binary64>) () ())) ()) |
135 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 154.0ms | b | @ | inf | (/ r (cos (+ b a))) |
| 4.0ms | r | @ | 0 | (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) |
| 4.0ms | r | @ | 0 | (/ (* r b) (cos a)) |
| 3.0ms | b | @ | -inf | (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) |
| 2.0ms | a | @ | inf | (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) |
| 1× | egg-herbie |
| 7 696× | lower-*.f64 |
| 7 696× | lower-*.f32 |
| 7 592× | lower-fma.f64 |
| 7 592× | lower-fma.f32 |
| 2 282× | lower-neg.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 433 | 6074 |
| 1 | 1384 | 5833 |
| 2 | 4710 | 5732 |
| 0 | 8360 | 5517 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg 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)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (cos b)) |
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* 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))))))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
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)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(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 b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(cos b) |
(+ (cos b) (* a (sin (neg b)))) |
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b))))))))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg 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))) |
(/ (* 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 (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 (* -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 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin 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)))) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(* b r) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
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 a) |
(cos a) |
(cos a) |
(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))) |
(/ (* 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))) |
(/ (* 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 (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 (* -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 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin 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)))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ 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))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 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))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 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)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 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)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
a |
(+ a b) |
(+ a b) |
(+ a b) |
b |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
b |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
b |
(+ a b) |
(+ a b) |
(+ a b) |
a |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
a |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(/ (* 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))) |
(/ (* 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 (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 (* -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 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin 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)))) |
(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)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 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)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 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)) (* -1/2 (* a (cos b)))))) |
(* -1/2 (* (pow a 2) (cos b))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (sin b) a))) |
(* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (sin b) a))) |
(* -1/2 (* (pow a 2) (cos b))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(* (pow a 2) (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b)))) |
(* (pow a 2) (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b)))) |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) |
(+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (* 1/4 (pow a 2)) 1/2)))))) |
(+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (+ (* 1/6 (* a b)) (* 1/4 (pow a 2))) 1/2)))))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos 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))) |
(/ (* 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))) |
(/ (* 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 (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 (* -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 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin 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)))) |
(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))))))) |
(* (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 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 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)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* a b) |
(* a (+ b (* -1/6 (* (pow a 2) b)))) |
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* 1/120 (* (pow a 2) b)))))) |
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) b)) (* 1/120 b))))))) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(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)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 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)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 a) |
(+ (* -1/2 a) (* 1/4 (* a (pow b 2)))) |
(+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a)))) |
(+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2)))))))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
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(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(fma.f64 (*.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) |
(+ (* 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))) |
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(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
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(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- a (* -1 b)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- a (* -1 b)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- a (* -1 b)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- a (* -1 b)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ 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))) |
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(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- b (* -1 a)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- b (* -1 a)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- b (* -1 a)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- b (* -1 a)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 b (-.f64 (*.f64 b (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b (sin.f64 a))))) (sin.f64 a)) (cos.f64 a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 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 a (fma.f64 a (fma.f64 (sin.f64 b) (*.f64 a #s(literal 1/6 binary64)) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 (neg.f64 b))) (cos.f64 b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
a |
(+ a b) |
(+.f64 b a) |
(+ a b) |
(+.f64 b a) |
(+ a b) |
(+.f64 b a) |
b |
(* b (+ 1 (/ a b))) |
(fma.f64 b (/.f64 a b) b) |
(* b (+ 1 (/ a b))) |
(fma.f64 b (/.f64 a b) b) |
(* b (+ 1 (/ a b))) |
(fma.f64 b (/.f64 a b) b) |
b |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(fma.f64 b (/.f64 a b) b) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(fma.f64 b (/.f64 a b) b) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(fma.f64 b (/.f64 a b) b) |
b |
(+ a b) |
(+.f64 b a) |
(+ a b) |
(+.f64 b a) |
(+ a b) |
(+.f64 b a) |
a |
(* a (+ 1 (/ b a))) |
(fma.f64 a (/.f64 b a) a) |
(* a (+ 1 (/ b a))) |
(fma.f64 a (/.f64 b a) a) |
(* a (+ 1 (/ b a))) |
(fma.f64 a (/.f64 b a) a) |
a |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(fma.f64 a (/.f64 b a) a) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(fma.f64 a (/.f64 b a) a) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(fma.f64 a (/.f64 b a) a) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* b r) (cos a)) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (fma.f64 (*.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(* 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 b (fma.f64 b (fma.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))))) (/.f64 r (cos.f64 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)))) |
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(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (*.f64 r a) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 r (sin.f64 b)) (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 a (fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (sin.f64 b) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b))))))) (/.f64 (*.f64 r (sin.f64 b)) (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))) |
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(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 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 a (fma.f64 a (fma.f64 (sin.f64 b) (*.f64 a #s(literal 1/6 binary64)) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 (neg.f64 b))) (cos.f64 b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 b (-.f64 (*.f64 b (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b (sin.f64 a))))) (sin.f64 a)) (cos.f64 a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
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(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 a) |
(*.f64 a #s(literal -1/2 binary64)) |
(+ (* -1/2 a) (* 1/4 (* a (pow b 2)))) |
(fma.f64 b (*.f64 b (*.f64 a #s(literal 1/4 binary64))) (*.f64 a #s(literal -1/2 binary64))) |
(+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b a)) #s(literal -1/48 binary64) (*.f64 a #s(literal 1/4 binary64))) b) b (*.f64 a #s(literal -1/2 binary64))) |
(+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2)))))))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 a #s(literal -1/48 binary64) (*.f64 (*.f64 b (*.f64 b a)) #s(literal 1/1440 binary64))) (*.f64 a #s(literal 1/4 binary64))) (*.f64 a #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
| 5 078× | lower-*.f32 |
| 5 064× | lower-*.f64 |
| 4 660× | lower-/.f32 |
| 4 650× | lower-/.f64 |
| 3 252× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 180 |
| 0 | 62 | 194 |
| 1 | 225 | 166 |
| 2 | 1451 | 166 |
| 0 | 8799 | 166 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 r b) |
(cos.f64 a) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) |
#s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
(fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(*.f64 b (sin.f64 a)) |
#s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) |
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))))))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a 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 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) (-.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) #s(literal 4 binary64))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (sin.f64 (neg.f64 b)) (*.f64 (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b))))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.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 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.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 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a 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 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.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 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (+.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.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 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))))) |
(*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(+.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+.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 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 b a)))) |
(cos.f64 (+.f64 b a)) |
(cos.f64 (-.f64 (neg.f64 b) a)) |
(cos.f64 (-.f64 a (neg.f64 b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 (neg.f64 a))) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 (neg.f64 a)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (cos.f64 (-.f64 a b)))) |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (sin.f64 a) (sin.f64 (neg.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.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 a)) (sin.f64 b))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 b a)))) |
(fma.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64) (*.f64 (cos.f64 a) (cos.f64 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 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (sin.f64 (neg.f64 b)) (*.f64 (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))) (+.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))) (+.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.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 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.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 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (sin.f64 (neg.f64 b)) (*.f64 (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (neg.f64 (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (cos.f64 (-.f64 a b))) |
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal 4 binary64)) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64))) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64)) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (neg.f64 (neg.f64 (-.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) (cos.f64 b))))) |
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (pow.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) #s(literal 2 binary64)) (-.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) (cos.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) (cos.f64 b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) #s(literal 2 binary64)) (-.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) (cos.f64 b))) (/.f64 (pow.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) #s(literal 2 binary64)) (-.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) (cos.f64 b))) (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) (cos.f64 b))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) (cos.f64 b))) (*.f64 (/.f64 (pow.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) #s(literal 2 binary64)) (-.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) (cos.f64 b))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) (cos.f64 b))))))) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 b) (-.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))) (pow.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) (cos.f64 b)) (-.f64 (pow.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (pow.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) (-.f64 (cos.f64 b) (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)))) (pow.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) (cos.f64 b)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))))) |
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) (*.f64 r (sin.f64 b)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) (*.f64 r (sin.f64 b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (neg.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b))))) (neg.f64 (neg.f64 (neg.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))) (neg.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))) |
(pow.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))))) |
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))) |
(*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))) r) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))) |
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))) |
(*.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))) |
(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64))) |
(/.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -1 binary64)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64)) |
(*.f64 b (sin.f64 a)) |
(*.f64 (sin.f64 a) b) |
#s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 b) a)) |
(*.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) a) |
(*.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b)) |
(*.f64 (*.f64 a (cos.f64 b)) #s(literal -1/2 binary64)) |
Compiled 25 869 to 1 715 computations (93.4% saved)
63 alts after pruning (60 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 094 | 44 | 1 138 |
| Fresh | 12 | 16 | 28 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 108 | 63 | 1 171 |
| Status | Accuracy | Program |
|---|---|---|
| 46.8% | (pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 78.0% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) | |
| 98.1% | (/.f64 (*.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (sin.f64 (neg.f64 b)) (*.f64 (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))))) | |
| ✓ | 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 66.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b)))) | |
| 52.1% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| 98.3% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))))) | |
| 98.5% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| 78.1% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (cos.f64 (-.f64 a b)))) | |
| 98.4% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.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 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))))) | |
| 98.3% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (-.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))) | |
| 78.2% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b)))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| 78.1% | (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) | |
| 62.0% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))) | |
| 65.1% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) | |
| 51.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))) | |
| 58.1% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (*.f64 (-.f64 (pow.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) (cos.f64 b)))))) | |
| 29.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) | |
| 34.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) | |
| 35.0% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 47.3% | (/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b))) | |
| 78.2% | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) | |
| 47.9% | (/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b))) | |
| 33.0% | (/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) | |
| 49.8% | (/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) | |
| 47.4% | (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) | |
| 78.2% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 78.0% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) | |
| 78.1% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) | |
| 98.5% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| ▶ | 78.2% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
| 98.4% | (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))) | |
| ▶ | 78.1% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
| 78.2% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) | |
| ▶ | 99.5% | (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
| 98.6% | (*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))) (sin.f64 b)) | |
| 99.5% | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) | |
| 43.2% | (*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))))) (sin.f64 b)) | |
| 78.2% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) | |
| ✓ | 78.3% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
| 68.1% | (*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b)) | |
| 62.6% | (*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (sin.f64 b)) | |
| 65.1% | (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)) | |
| ▶ | 51.5% | (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) |
| 78.2% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b)) | |
| 78.0% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) | |
| 78.1% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) | |
| 98.5% | (*.f64 (*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))) (sin.f64 b)) | |
| 78.2% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) | |
| 48.1% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) | |
| 78.1% | (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) | |
| 38.9% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) | |
| 47.9% | #s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a)))) | |
| ✓ | 47.8% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
| 32.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 33.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) | |
| 32.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 47.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))) | |
| 47.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) | |
| 29.8% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) | |
| ▶ | 34.4% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
Compiled 3 075 to 1 701 computations (44.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) | |
| cost-diff | 13824 | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) | |
| cost-diff | 0 | (cos.f64 a) | |
| cost-diff | 0 | #s(approx (cos (+ b a)) (cos.f64 a)) | |
| cost-diff | 0 | (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) | |
| cost-diff | 0 | (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) | |
| cost-diff | 0 | (*.f64 r b) | |
| cost-diff | 0 | #s(approx (/ (* r b) (cos a)) (*.f64 r b)) | |
| cost-diff | 0 | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) | |
| cost-diff | 0 | (sin.f64 (neg.f64 b)) | |
| cost-diff | 0 | (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) | |
| cost-diff | 0 | (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| cost-diff | 0 | (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
| 5 286× | lower-fma.f32 |
| 5 284× | lower-fma.f64 |
| 4 030× | lower-*.f32 |
| 4 014× | lower-*.f64 |
| 2 762× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 237 |
| 0 | 67 | 219 |
| 1 | 106 | 219 |
| 2 | 205 | 219 |
| 3 | 466 | 219 |
| 4 | 1203 | 219 |
| 5 | 1754 | 219 |
| 6 | 2799 | 219 |
| 7 | 4031 | 219 |
| 8 | 7236 | 219 |
| 0 | 8171 | 219 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
(/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
r |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(sin.f64 (neg.f64 b)) |
(neg.f64 b) |
b |
(sin.f64 a) |
a |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 a) |
(cos.f64 b) |
(sin.f64 b) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r b) (cos a)) (*.f64 r b)) |
(*.f64 r b) |
r |
b |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) |
(/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) |
r |
#s(approx (cos (+ b a)) (cos.f64 a)) |
(cos.f64 a) |
a |
(sin.f64 b) |
b |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(sin.f64 b) |
b |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
a |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) r) |
r |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) |
(cos.f64 (-.f64 a b)) |
(-.f64 a b) |
a |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
| Outputs |
|---|
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
r |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(sin.f64 (neg.f64 b)) |
(neg.f64 b) |
b |
(sin.f64 a) |
a |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 a) |
(cos.f64 b) |
(sin.f64 b) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r b) (cos a)) (*.f64 r b)) |
(*.f64 r b) |
r |
b |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (cos.f64 a))) |
(/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) |
r |
#s(approx (cos (+ b a)) (cos.f64 a)) |
(cos.f64 a) |
a |
(sin.f64 b) |
b |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(sin.f64 b) |
b |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
a |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) |
r |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) r) |
r |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) |
(cos.f64 (-.f64 a b)) |
(-.f64 a b) |
a |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.234375 | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) | |
| accuracy | 0.324882519536884 | (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) | |
| accuracy | 13.591412273262039 | (cos.f64 (-.f64 a b)) | |
| accuracy | 13.811578966965197 | (cos.f64 (+.f64 b a)) | |
| accuracy | 0.171875 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) | |
| accuracy | 0.18359375 | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) | |
| accuracy | 0.2109375 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) | |
| accuracy | 13.811578966965197 | (cos.f64 (+.f64 b a)) | |
| accuracy | 0.0078125 | (sin.f64 b) | |
| accuracy | 0.17578125 | (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) | |
| accuracy | 0.228847509768442 | (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) | |
| accuracy | 31.146934850809323 | #s(approx (cos (+ b a)) (cos.f64 a)) | |
| accuracy | 0 | (*.f64 r b) | |
| accuracy | 19.43176263747529 | #s(approx (/ (* r b) (cos a)) (*.f64 r b)) | |
| accuracy | 33.31951014087929 | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) | |
| accuracy | 0.07421875 | (*.f64 (cos.f64 a) (cos.f64 b)) | |
| accuracy | 0.137555934065628 | (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) | |
| accuracy | 0.17578125 | (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| accuracy | 0.228847509768442 | (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
| 144.0ms | 184× | 1 | valid |
| 23.0ms | 72× | 0 | valid |
Compiled 218 to 36 computations (83.5% saved)
ival-cos: 42.0ms (32.8% of total)ival-sin: 23.0ms (18% of total)ival-mult: 23.0ms (18% of total)ival-div: 20.0ms (15.6% of total)adjust: 11.0ms (8.6% of total)ival-add: 6.0ms (4.7% of total)ival-sub: 2.0ms (1.6% of total)ival-neg: 1.0ms (0.8% 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 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ()) |
#s(alt (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (patch (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) (patch (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) #<representation binary64>) () ()) |
#s(alt (sin.f64 (neg.f64 b)) (patch (sin.f64 (neg.f64 b)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) (patch #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* r b) (cos a)) (*.f64 r b)) (patch #s(approx (/ (* r b) (cos a)) (*.f64 r b)) #<representation binary64>) () ()) |
#s(alt (*.f64 r b) (patch (*.f64 r b) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) (patch (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) #<representation binary64>) () ()) |
#s(alt (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (patch (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #<representation binary64>) () ()) |
#s(alt #s(approx (cos (+ b a)) (cos.f64 a)) (patch #s(approx (cos (+ b a)) (cos.f64 a)) #<representation binary64>) () ()) |
#s(alt (cos.f64 a) (patch (cos.f64 a) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) (patch (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #<representation binary64>) () ()) |
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ()) |
#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<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 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ()) |
#s(alt (cos.f64 (-.f64 a b)) (patch (cos.f64 (-.f64 a b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor 0 r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor -inf r) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) (taylor 0 b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) (taylor inf b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) (taylor -inf b) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) (taylor 0 a) (#s(alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
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#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 b a))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (patch (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #<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 (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 (sin b) (taylor -inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (sin b) (taylor -inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (sin b) (taylor -inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (sin b) (taylor -inf b) (#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (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 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (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 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (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 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (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 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (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 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (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 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) (patch (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))) (taylor -inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))) (taylor -inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))) (taylor -inf b) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) (taylor inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (patch (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor 0 r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor 0 r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor 0 r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor 0 r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf r) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
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#s(alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) (taylor 0 b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
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#s(alt (* r (sin b)) (taylor inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
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#s(alt (* r (sin b)) (taylor inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* r (sin b)) (taylor -inf b) (#s(alt (*.f64 r (sin.f64 b)) (patch (*.f64 r (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (cos b) (taylor 0 a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) (taylor 0 a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) (taylor 0 a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) (taylor 0 a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor -inf a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor -inf a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor -inf a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor -inf a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (cos a) (taylor 0 b) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) (taylor 0 b) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) (taylor 0 b) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) (taylor 0 b) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf b) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf b) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf b) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf b) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor -inf b) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor -inf b) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor -inf b) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor -inf b) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (cos a) (taylor 0 b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos a) (* -1 (* b (sin a)))) (taylor 0 b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor 0 b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<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 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (cos (- a (* -1 b))) (taylor -inf b) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (cos b) (taylor 0 a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) (taylor 0 a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<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 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (cos (+ a b)) (taylor inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (cos (- b (* -1 a))) (taylor -inf a) (#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (cos (neg b)) (taylor 0 a) (#s(alt (cos.f64 (-.f64 a b)) (patch (cos.f64 (-.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos (neg b)) (* -1 (* a (sin (neg b))))) (taylor 0 a) (#s(alt (cos.f64 (-.f64 a b)) (patch (cos.f64 (-.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b))))) (taylor 0 a) (#s(alt (cos.f64 (-.f64 a b)) (patch (cos.f64 (-.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b))))) (taylor 0 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 (cos (- a b)) (taylor inf a) (#s(alt (cos.f64 (-.f64 a b)) (patch (cos.f64 (-.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (cos (neg (+ b (* -1 a)))) (taylor -inf a) (#s(alt (cos.f64 (-.f64 a b)) (patch (cos.f64 (-.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (cos (neg (+ b (* -1 a)))) (taylor -inf a) (#s(alt (cos.f64 (-.f64 a b)) (patch (cos.f64 (-.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (cos (neg (+ b (* -1 a)))) (taylor -inf a) (#s(alt (cos.f64 (-.f64 a b)) (patch (cos.f64 (-.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (cos (neg (+ b (* -1 a)))) (taylor -inf a) (#s(alt (cos.f64 (-.f64 a b)) (patch (cos.f64 (-.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (cos a) (taylor 0 b) (#s(alt (cos.f64 (-.f64 a b)) (patch (cos.f64 (-.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos a) (* 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))) (* -1 (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))))) (* -1 (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)) (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 (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 (* (cos b) (cos (neg b))) (taylor 0 a) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))) (* (cos b) (cos (neg b)))) (taylor 0 a) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))))) (* (cos b) (cos (neg b)))) (taylor 0 a) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (+ (* a (+ (* 1/6 (* (cos b) (sin (neg b)))) (+ (* 1/6 (* (cos (neg b)) (sin b))) (+ (* 1/2 (* (cos b) (sin (neg b)))) (* 1/2 (* (cos (neg b)) (sin b))))))) (* (sin b) (sin (neg b))))))))) (* (cos b) (cos (neg b)))) (taylor 0 a) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (* (cos (+ a b)) (cos (- a b))) (taylor inf a) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (* (cos (+ a b)) (cos (- a b))) (taylor inf a) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (* (cos (+ a b)) (cos (- a b))) (taylor inf a) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (* (cos (+ a b)) (cos (- a b))) (taylor inf a) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (pow (cos a) 2) (taylor 0 b) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 2)) (taylor 0 b) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (* (cos a) (sin a))))) (pow (cos a) 2)) (taylor 0 b) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (+ (* -1 (pow (sin a) 2)) (* b (+ (* -1/2 (* (cos a) (sin a))) (+ (* -1/6 (* (cos a) (sin a))) (+ (* 1/6 (* (cos a) (sin a))) (* 1/2 (* (cos a) (sin a)))))))))) (* (cos a) (sin a))))) (pow (cos a) 2)) (taylor 0 b) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (* (cos (+ a b)) (cos (- a b))) (taylor inf b) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (* (cos (+ a b)) (cos (- a b))) (taylor inf b) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (* (cos (+ a b)) (cos (- a b))) (taylor inf b) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (* (cos (+ a b)) (cos (- a b))) (taylor inf b) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (patch (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #<representation binary64>) () ())) ()) |
147 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | a | @ | 0 | (/ r (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) |
| 2.0ms | a | @ | 0 | (/ (* r (sin b)) (* (cos (- a b)) (cos (+ b a)))) |
| 1.0ms | b | @ | 0 | (/ (* r (sin b)) (* (cos (- a b)) (cos (+ b a)))) |
| 1.0ms | r | @ | 0 | (/ (* r (sin b)) (* (cos (- a b)) (cos (+ b a)))) |
| 1.0ms | r | @ | -inf | (/ 1 (/ 1 r)) |
| 1× | egg-herbie |
| 10 214× | lower-fma.f64 |
| 10 214× | lower-fma.f32 |
| 7 278× | lower-*.f64 |
| 7 278× | lower-*.f32 |
| 3 480× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 645 | 7994 |
| 1 | 2207 | 7405 |
| 0 | 8172 | 7125 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg 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)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (cos b)) |
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ 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))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ r (cos b)) |
(+ (* -1 (/ (* a (* r (sin (neg b)))) (pow (cos b) 2))) (/ r (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (/ (* r (sin (neg b))) (pow (cos b) 2)))) (/ r (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (sin (neg b))) (pow (cos b) 2))) (* 1/2 (/ (* r (sin (neg b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (/ (* r (sin (neg b))) (pow (cos b) 2)))) (/ r (cos b))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(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 b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(cos b) |
(+ (cos b) (* a (sin (neg b)))) |
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b))))))))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(* -1 b) |
(* b (- (* 1/6 (pow b 2)) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1)) |
(sin (neg b)) |
(sin (neg b)) |
(sin (neg b)) |
(sin (neg b)) |
(sin (* -1 b)) |
(sin (* -1 b)) |
(sin (* -1 b)) |
(sin (* -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))) |
(/ (* 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 (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 (* -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 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin 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)))) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(* b r) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(/ (* 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))) |
(/ (* 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 (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 (* -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 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin 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)))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ 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))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 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))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 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)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 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)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
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 a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
r |
r |
r |
r |
r |
r |
r |
r |
r |
r |
r |
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)))) |
(/ (* 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 (* -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 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin 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)))) |
(/ (* 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))) |
(/ 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)))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a 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) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (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 |
(* 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)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* 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))) |
(/ (* 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 (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 (* -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 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin 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)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* b r) (pow (cos a) 2)) |
(* b (+ (* -1 (/ (* b (* r (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a))))) (pow (cos a) 4))) (/ r (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (pow (cos a) 2))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a))) 2)) (pow (cos a) 6))) (/ (* r (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (pow (cos a) 4))))) (/ (* r (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 4)))) (/ r (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a))) (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2))))) (pow (cos a) 6))) (+ (/ (* r (+ (* -1/2 (* (cos a) (sin a))) (+ (* -1/6 (* (cos a) (sin a))) (+ (* 1/6 (* (cos a) (sin a))) (* 1/2 (* (cos a) (sin a))))))) (pow (cos a) 4)) (/ (* (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a))) (- (* -1/6 (/ r (pow (cos a) 2))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a))) 2)) (pow (cos a) 6))) (/ (* r (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (pow (cos a) 4))))) (pow (cos a) 2)))))) (* -1/6 (/ r (pow (cos a) 2)))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a))) 2)) (pow (cos a) 6))) (/ (* r (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (pow (cos a) 4))))) (/ (* r (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 4)))) (/ r (pow (cos a) 2)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))) |
(/ (* r (sin b)) (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))) |
(/ (* r (sin b)) (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))) |
(/ (* r (sin b)) (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))) |
(/ (* r (sin b)) (* (cos b) (cos (neg b)))) |
(+ (* -1 (/ (* a (* r (* (sin b) (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2)))) (/ (* r (sin b)) (* (cos b) (cos (neg b))))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))) 2))) (* (pow (cos b) 3) (pow (cos (neg b)) 3)))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2)))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2))))) (/ (* r (sin b)) (* (cos b) (cos (neg b))))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (* (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))) (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))))) (* (pow (cos b) 3) (pow (cos (neg b)) 3)))) (+ (* -1 (/ (* (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))) 2))) (* (pow (cos b) 3) (pow (cos (neg b)) 3)))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2))))) (* (cos b) (cos (neg b))))) (/ (* r (* (sin b) (+ (* 1/6 (* (cos b) (sin (neg b)))) (+ (* 1/6 (* (cos (neg b)) (sin b))) (+ (* 1/2 (* (cos b) (sin (neg b)))) (* 1/2 (* (cos (neg b)) (sin b)))))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))) 2))) (* (pow (cos b) 3) (pow (cos (neg b)) 3)))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2)))))) (/ (* r (* (sin b) (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b)))))) (* (pow (cos b) 2) (pow (cos (neg b)) 2))))) (/ (* r (sin b)) (* (cos b) (cos (neg b))))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (+ a b)) (cos (- a b)))) |
(/ (* r (sin b)) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))) |
(/ (* r (sin b)) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))) |
(/ (* r (sin b)) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))) |
(/ (* r (sin b)) (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* 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))))))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (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))))))) |
(* (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 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 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 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)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 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)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (neg b)) |
(+ (cos (neg b)) (* -1 (* a (sin (neg b))))) |
(+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b))))) |
(+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b))))) |
(cos (- a b)) |
(cos (- a b)) |
(cos (- a b)) |
(cos (- a b)) |
(cos (neg (+ b (* -1 a)))) |
(cos (neg (+ b (* -1 a)))) |
(cos (neg (+ b (* -1 a)))) |
(cos (neg (+ b (* -1 a)))) |
(cos a) |
(+ (cos a) (* b (sin a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a))))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* -1/6 (* b (sin a))))) (* -1 (sin a))))) |
(cos (- a b)) |
(cos (- a b)) |
(cos (- a b)) |
(cos (- a b)) |
(cos (+ a (* -1 b))) |
(cos (+ a (* -1 b))) |
(cos (+ a (* -1 b))) |
(cos (+ a (* -1 b))) |
(* (cos b) (cos (neg b))) |
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))) (* (cos b) (cos (neg b)))) |
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))))) (* (cos b) (cos (neg b)))) |
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (+ (* a (+ (* 1/6 (* (cos b) (sin (neg b)))) (+ (* 1/6 (* (cos (neg b)) (sin b))) (+ (* 1/2 (* (cos b) (sin (neg b)))) (* 1/2 (* (cos (neg b)) (sin b))))))) (* (sin b) (sin (neg b))))))))) (* (cos b) (cos (neg b)))) |
(* (cos (+ a b)) (cos (- a b))) |
(* (cos (+ a b)) (cos (- a b))) |
(* (cos (+ a b)) (cos (- a b))) |
(* (cos (+ a b)) (cos (- a b))) |
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))) |
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))) |
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))) |
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))) |
(pow (cos a) 2) |
(+ (* b (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 2)) |
(+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (* (cos a) (sin a))))) (pow (cos a) 2)) |
(+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (+ (* -1 (pow (sin a) 2)) (* b (+ (* -1/2 (* (cos a) (sin a))) (+ (* -1/6 (* (cos a) (sin a))) (+ (* 1/6 (* (cos a) (sin a))) (* 1/2 (* (cos a) (sin a)))))))))) (* (cos a) (sin a))))) (pow (cos a) 2)) |
(* (cos (+ a b)) (cos (- a b))) |
(* (cos (+ a b)) (cos (- a b))) |
(* (cos (+ a b)) (cos (- a b))) |
(* (cos (+ a b)) (cos (- a b))) |
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))) |
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))) |
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))) |
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* b r) (cos a)) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(* 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 b (fma.f64 b (fma.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 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)))) |
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (sin.f64 a) (cos.f64 a)))) (neg.f64 b) (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 r (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
(fma.f64 a (fma.f64 a (fma.f64 (sin.f64 (neg.f64 b)) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 b))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
(fma.f64 r (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a (fma.f64 a (fma.f64 (fma.f64 r (*.f64 (neg.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 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (/.f64 (sin.f64 b) (cos.f64 b)))) (neg.f64 a) (fma.f64 (sin.f64 (neg.f64 b)) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 b))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) |
(+ (* 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))) |
(fma.f64 b (fma.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (neg.f64 b))) (/.f64 r (cos.f64 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))) |
(fma.f64 b (fma.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (neg.f64 (fma.f64 b (fma.f64 r (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (sin.f64 a) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))))) (/.f64 r (cos.f64 a))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
(+ (* -1 (/ (* a (* r (sin (neg b)))) (pow (cos b) 2))) (/ r (cos b))) |
(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 (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (/ (* r (sin (neg b))) (pow (cos b) 2)))) (/ r (cos b))) |
(fma.f64 a (fma.f64 (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 b)))) (neg.f64 a) (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 r (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (sin (neg b))) (pow (cos b) 2))) (* 1/2 (/ (* r (sin (neg b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (/ (* r (sin (neg b))) (pow (cos b) 2)))) (/ r (cos b))) |
(fma.f64 a (fma.f64 a (neg.f64 (fma.f64 a (fma.f64 (sin.f64 b) (/.f64 (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 b)))) (cos.f64 b)) (/.f64 (*.f64 (neg.f64 (*.f64 r (sin.f64 b))) #s(literal 1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 b)))))) (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 r (cos.f64 b))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
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(/ (* r (sin b)) (cos b)) |
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(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
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(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
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(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
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(/ r (cos (- a (* -1 b)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos b)) |
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(/ r (cos (- b (* -1 a)))) |
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(cos a) |
(cos.f64 a) |
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(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
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(cos (+ a b)) |
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(cos (+ a b)) |
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(cos (+ a b)) |
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(cos (+ a b)) |
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(cos (- a (* -1 b))) |
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(cos (- a (* -1 b))) |
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(cos (- a (* -1 b))) |
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(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos b) |
(cos.f64 b) |
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(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
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(cos (+ a b)) |
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(cos (+ a b)) |
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(cos (+ a b)) |
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(cos (+ a b)) |
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(cos (- b (* -1 a))) |
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(cos (- b (* -1 a))) |
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(cos (- b (* -1 a))) |
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(cos (- b (* -1 a))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow a 2))) |
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(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
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(cos a) |
(cos.f64 a) |
(cos a) |
(cos.f64 a) |
(cos a) |
(cos.f64 a) |
(cos a) |
(cos.f64 a) |
(cos a) |
(cos.f64 a) |
(cos a) |
(cos.f64 a) |
(cos a) |
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(cos a) |
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r |
r |
r |
r |
r |
r |
r |
r |
r |
r |
r |
r |
(/ (* b r) (cos a)) |
(*.f64 r (/.f64 b (cos.f64 a))) |
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(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
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(/ (* r (sin b)) (cos (+ a b))) |
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b |
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(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
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(sin b) |
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(fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 b (-.f64 (*.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b (sin.f64 a)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (sin.f64 a)) (cos.f64 a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 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 a (fma.f64 a (fma.f64 a (*.f64 (sin.f64 b) #s(literal 1/6 binary64)) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 (neg.f64 b))) (cos.f64 b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (neg b)) |
(cos.f64 b) |
(+ (cos (neg b)) (* -1 (* a (sin (neg b))))) |
(fma.f64 (sin.f64 b) a (cos.f64 b)) |
(+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b))))) |
(fma.f64 a (fma.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)) |
(+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b))))) |
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 (sin.f64 (neg.f64 b)) #s(literal 1/6 binary64)) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)) |
(cos (- a b)) |
(cos.f64 (-.f64 b a)) |
(cos (- a b)) |
(cos.f64 (-.f64 b a)) |
(cos (- a b)) |
(cos.f64 (-.f64 b a)) |
(cos (- a b)) |
(cos.f64 (-.f64 b a)) |
(cos (neg (+ b (* -1 a)))) |
(cos.f64 (-.f64 b a)) |
(cos (neg (+ b (* -1 a)))) |
(cos.f64 (-.f64 b a)) |
(cos (neg (+ b (* -1 a)))) |
(cos.f64 (-.f64 b a)) |
(cos (neg (+ b (* -1 a)))) |
(cos.f64 (-.f64 b a)) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* b (sin a))) |
(fma.f64 b (sin.f64 a) (cos.f64 a)) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a))))) |
(fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* -1/6 (* b (sin a))))) (* -1 (sin a))))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (sin.f64 a)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) |
(cos (- a b)) |
(cos.f64 (-.f64 b a)) |
(cos (- a b)) |
(cos.f64 (-.f64 b a)) |
(cos (- a b)) |
(cos.f64 (-.f64 b a)) |
(cos (- a b)) |
(cos.f64 (-.f64 b a)) |
(cos (+ a (* -1 b))) |
(cos.f64 (-.f64 b a)) |
(cos (+ a (* -1 b))) |
(cos.f64 (-.f64 b a)) |
(cos (+ a (* -1 b))) |
(cos.f64 (-.f64 b a)) |
(cos (+ a (* -1 b))) |
(cos.f64 (-.f64 b a)) |
(* (cos b) (cos (neg b))) |
(pow.f64 (cos.f64 b) #s(literal 2 binary64)) |
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))) (* (cos b) (cos (neg b)))) |
(fma.f64 a (*.f64 (cos.f64 b) (+.f64 (sin.f64 (neg.f64 b)) (sin.f64 b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) |
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))))) (* (cos b) (cos (neg b)))) |
(fma.f64 a (fma.f64 a (-.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (cos.f64 b) (+.f64 (sin.f64 (neg.f64 b)) (sin.f64 b)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) |
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (+ (* a (+ (* 1/6 (* (cos b) (sin (neg b)))) (+ (* 1/6 (* (cos (neg b)) (sin b))) (+ (* 1/2 (* (cos b) (sin (neg b)))) (* 1/2 (* (cos (neg b)) (sin b))))))) (* (sin b) (sin (neg b))))))))) (* (cos b) (cos (neg b)))) |
(fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 b) (+.f64 (sin.f64 (neg.f64 b)) (sin.f64 b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 b) (+.f64 (sin.f64 (neg.f64 b)) (sin.f64 b))))) (-.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (*.f64 (cos.f64 b) (+.f64 (sin.f64 (neg.f64 b)) (sin.f64 b)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) |
(* (cos (+ a b)) (cos (- a b))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(* (cos (+ a b)) (cos (- a b))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(* (cos (+ a b)) (cos (- a b))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(* (cos (+ a b)) (cos (- a b))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(pow (cos a) 2) |
(pow.f64 (cos.f64 a) #s(literal 2 binary64)) |
(+ (* b (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 2)) |
(fma.f64 b #s(literal 0 binary64) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (* (cos a) (sin a))))) (pow (cos a) 2)) |
(fma.f64 b (neg.f64 b) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (+ (* -1 (pow (sin a) 2)) (* b (+ (* -1/2 (* (cos a) (sin a))) (+ (* -1/6 (* (cos a) (sin a))) (+ (* 1/6 (* (cos a) (sin a))) (* 1/2 (* (cos a) (sin a)))))))))) (* (cos a) (sin a))))) (pow (cos a) 2)) |
(fma.f64 b (fma.f64 b (fma.f64 b (fma.f64 (cos.f64 a) (*.f64 (sin.f64 a) #s(literal 1/2 binary64)) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (sin.f64 a)))) #s(literal -1 binary64)) #s(literal 0 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(* (cos (+ a b)) (cos (- a b))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(* (cos (+ a b)) (cos (- a b))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(* (cos (+ a b)) (cos (- a b))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(* (cos (+ a b)) (cos (- a b))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) |
| 5 014× | lower-/.f32 |
| 5 002× | lower-/.f64 |
| 4 834× | lower-*.f32 |
| 4 818× | lower-*.f64 |
| 1 902× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 192 |
| 0 | 67 | 198 |
| 1 | 224 | 163 |
| 2 | 1554 | 163 |
| 0 | 8510 | 163 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
(/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(sin.f64 (neg.f64 b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r b) (cos a)) (*.f64 r b)) |
(*.f64 r b) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) |
(/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) |
#s(approx (cos (+ b a)) (cos.f64 a)) |
(cos.f64 a) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(sin.f64 b) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 (+.f64 b a)) |
(cos.f64 (-.f64 a b)) |
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) (neg.f64 (cos.f64 (+.f64 b a))))) (/.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) r) (neg.f64 (cos.f64 (+.f64 b a)))))) |
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) r) (neg.f64 (cos.f64 (+.f64 b a))))) (/.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) r) (neg.f64 (cos.f64 (+.f64 b a)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a))))) |
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) (/.f64 (sin.f64 b) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))) |
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) (/.f64 (sin.f64 b) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))) |
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) r) (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a)))) |
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 #s(literal -1 binary64) r)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))) |
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (/.f64 #s(literal -1 binary64) r))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 b))) (*.f64 (/.f64 #s(literal 1 binary64) r) (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 b))) (*.f64 (/.f64 #s(literal -1 binary64) r) (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 (*.f64 (sin.f64 (neg.f64 b)) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r))) |
(/.f64 (*.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) r))) |
(/.f64 (*.f64 (sin.f64 b) #s(literal -1 binary64)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 #s(literal -1 binary64) r))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 (neg.f64 (sin.f64 (neg.f64 b))) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a))))) |
(/.f64 (neg.f64 (sin.f64 (neg.f64 b))) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))) |
(/.f64 (neg.f64 (sin.f64 (neg.f64 b))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (neg.f64 (cos.f64 (+.f64 b a)))))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) r)) |
(/.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b))))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (neg.f64 b)) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 b)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (neg.f64 (cos.f64 (+.f64 b a)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 b)))) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (neg.f64 (cos.f64 (+.f64 b a)))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64))) (neg.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) r)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal -1 binary64))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 #s(literal -1 binary64) r)))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (/.f64 #s(literal 1 binary64) r)) |
(/.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) r)) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 r (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 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 (neg.f64 (-.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(/.f64 (neg.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)))) (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)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))) |
(pow.f64 (/.f64 (fma.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) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (+.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (neg.f64 (*.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) (neg.f64 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))))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.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) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))))) |
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 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)))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) |
(+.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (-.f64 b a)))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (cos.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (+.f64 b a) (*.f64 a a))))) (*.f64 (sin.f64 (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (sin.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (+.f64 b a) (*.f64 a a)))))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (+.f64 b a))) (cos.f64 (/.f64 (*.f64 b b) (+.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (+.f64 b a))) (sin.f64 (/.f64 (*.f64 b b) (+.f64 b a))))) |
(+.f64 (*.f64 (cos.f64 (+.f64 a #s(literal 0 binary64))) (cos.f64 b)) (*.f64 (sin.f64 (+.f64 a #s(literal 0 binary64))) (sin.f64 b))) |
(cos.f64 (-.f64 a b)) |
(cos.f64 (-.f64 b a)) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 (neg.f64 a))) (*.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))) |
(-.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))))) (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) (neg.f64 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)))) |
(fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (sin.f64 b))) |
(fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (-.f64 b a)))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (cos.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (*.f64 (sin.f64 (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 b (+.f64 b a) (*.f64 a a)))) (sin.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (+.f64 b a) (*.f64 a a)))))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (+.f64 b a))) (cos.f64 (/.f64 (*.f64 b b) (+.f64 b a))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (+.f64 b a))) (sin.f64 (/.f64 (*.f64 b b) (+.f64 b a))))) |
(fma.f64 (cos.f64 (+.f64 a #s(literal 0 binary64))) (cos.f64 b) (*.f64 (sin.f64 (+.f64 a #s(literal 0 binary64))) (sin.f64 b))) |
(/.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 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 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 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal -2 binary64)) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal 4 binary64)) |
(/.f64 (neg.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)))) (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 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))) |
(/.f64 (neg.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) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(+.f64 (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(+.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 b a)) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(fma.f64 (cos.f64 (+.f64 b a)) (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))))) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))))) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 (+.f64 b a) (-.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (neg.f64 b) a) (-.f64 a b))) (cos.f64 (-.f64 (-.f64 (neg.f64 b) a) (-.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 (+.f64 b a) (-.f64 a b))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))) #s(literal -1 binary64)) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) |
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) |
(*.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))) #s(literal 1/2 binary64)) |
Compiled 37 834 to 2 788 computations (92.6% saved)
74 alts after pruning (69 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 555 | 32 | 1 587 |
| Fresh | 18 | 37 | 55 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 576 | 74 | 1 650 |
| Status | Accuracy | Program |
|---|---|---|
| 46.8% | (pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 78.1% | (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) | |
| 78.0% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) | |
| ✓ | 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 66.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b)))) | |
| 52.1% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| 98.3% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))))) | |
| 98.5% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| 98.4% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.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 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| 62.0% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))) | |
| 65.1% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) | |
| 29.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) | |
| 34.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) | |
| 35.0% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 47.3% | (/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b))) | |
| 78.1% | (/.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a)))) | |
| 78.2% | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) | |
| 51.4% | (/.f64 (sin.f64 b) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r)) | |
| 47.9% | (/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b))) | |
| 49.8% | (/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) | |
| 78.2% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 78.0% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) | |
| ▶ | 78.1% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
| 98.5% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 99.0% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))) (cos.f64 (-.f64 a b))) | |
| 99.0% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) (cos.f64 (-.f64 a b))) | |
| 64.8% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(approx (cos (- a b)) (cos.f64 b))) | |
| 51.0% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(approx (cos (- a b)) (cos.f64 a))) | |
| 51.1% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 #s(approx (cos (- a b)) (cos.f64 a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) | |
| 54.2% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) #s(approx (* (cos (- a b)) (cos (+ b a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 a b))) | |
| 99.3% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) | |
| 78.1% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (-.f64 a b)) r))) | |
| 73.4% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 r))) | |
| 78.2% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) | |
| 65.0% | (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) | |
| ▶ | 51.4% | (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) |
| ✓ | 99.5% | (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
| 66.4% | (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b)))) (sin.f64 b)) | |
| 52.2% | (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) (sin.f64 b)) | |
| 98.6% | (*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))) (sin.f64 b)) | |
| ▶ | 99.5% | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
| 43.2% | (*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))))) (sin.f64 b)) | |
| ▶ | 78.2% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
| ✓ | 78.3% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
| 68.1% | (*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b)) | |
| 62.6% | (*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (sin.f64 b)) | |
| 65.1% | (*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) (sin.f64 b)) | |
| ✓ | 51.5% | (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) |
| 47.4% | (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) b))) | |
| 47.5% | (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) b) b))) | |
| 38.3% | (*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b)) | |
| 51.4% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r)) (sin.f64 b)) | |
| 98.3% | (*.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) (neg.f64 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))))))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))) | |
| 51.3% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) #s(approx (cos (+ b a)) (cos.f64 a)))) (sin.f64 b)) | |
| 78.1% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 78.1% | (*.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) | |
| 98.5% | (*.f64 (*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))) (sin.f64 b)) | |
| 78.1% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (*.f64 r (sin.f64 b))) (cos.f64 (-.f64 a b))) | |
| 78.2% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) | |
| 78.1% | (*.f64 (*.f64 (sin.f64 b) (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 a b))) | |
| 48.1% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) | |
| 39.7% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r)) #s(literal -1 binary64))) (sin.f64 b)) | |
| 51.4% | (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))) | |
| 47.9% | #s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a)))) | |
| 32.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 33.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) | |
| 32.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 47.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))) | |
| 47.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) | |
| 34.3% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 b (/.f64 #s(literal 1 binary64) r)))) | |
| ▶ | 29.8% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
| ✓ | 34.4% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
Compiled 3 055 to 1 803 computations (41% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (sin.f64 b)) | |
| cost-diff | 256 | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) | |
| cost-diff | 6464 | (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)) | |
| cost-diff | 7040 | (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (cos.f64 (+.f64 b a)) | |
| cost-diff | 0 | (/.f64 r (cos.f64 (+.f64 b a))) | |
| cost-diff | 0 | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| cost-diff | 0 | #s(approx (cos (+ b a)) (cos.f64 a)) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) | |
| cost-diff | 0 | #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))) | |
| cost-diff | 0 | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) | |
| cost-diff | 0 | (*.f64 (cos.f64 a) (cos.f64 b)) | |
| cost-diff | 0 | (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) | |
| cost-diff | 0 | (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| cost-diff | 0 | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
| 11 602× | lower-fma.f32 |
| 11 600× | lower-fma.f64 |
| 2 334× | lower-*.f32 |
| 2 316× | lower-*.f64 |
| 1 440× | lower-+.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 267 |
| 0 | 73 | 252 |
| 1 | 116 | 249 |
| 2 | 217 | 248 |
| 3 | 432 | 247 |
| 4 | 1201 | 247 |
| 5 | 2249 | 247 |
| 6 | 3705 | 247 |
| 7 | 5646 | 247 |
| 8 | 6869 | 247 |
| 9 | 7243 | 247 |
| 10 | 7415 | 247 |
| 11 | 7577 | 247 |
| 0 | 8064 | 247 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
r |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 a) |
a |
(cos.f64 b) |
b |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(sin.f64 b) |
(sin.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 a a) |
a |
#s(literal 1 binary64) |
(*.f64 r b) |
r |
b |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) |
(/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) |
(sin.f64 b) |
b |
#s(approx (cos (+ b a)) (cos.f64 a)) |
(cos.f64 a) |
a |
r |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
r |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
b |
a |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (sin.f64 b)) |
(sin.f64 b) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
#s(literal -1 binary64) |
(sin.f64 b) |
b |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)) |
(/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
a |
(neg.f64 r) |
r |
| Outputs |
|---|
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
r |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 a) |
a |
(cos.f64 b) |
b |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(sin.f64 b) |
(sin.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 b (fma.f64 (*.f64 a a) (*.f64 r #s(literal 1/2 binary64)) r)))) |
#s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))) |
#s(approx (/ (* r b) (cos a)) (*.f64 b (fma.f64 (*.f64 a a) (*.f64 r #s(literal 1/2 binary64)) r))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 b (fma.f64 (*.f64 a a) (*.f64 r #s(literal 1/2 binary64)) r)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) |
(fma.f64 a (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 a a) |
a |
#s(literal 1 binary64) |
(*.f64 r b) |
r |
b |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (cos.f64 a))) |
(/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) |
(sin.f64 b) |
b |
#s(approx (cos (+ b a)) (cos.f64 a)) |
(cos.f64 a) |
a |
r |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
r |
(cos.f64 (+.f64 b a)) |
(cos.f64 (+.f64 a b)) |
(+.f64 b a) |
(+.f64 a b) |
b |
a |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(sin.f64 b) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (sin.f64 b)) |
(sin.f64 b) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) |
(sin.f64 (neg.f64 b)) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
#s(literal -1 binary64) |
(sin.f64 b) |
b |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) |
(/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) |
(/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) |
(cos.f64 (+.f64 b a)) |
(cos.f64 (+.f64 a b)) |
(+.f64 b a) |
(+.f64 a b) |
a |
(neg.f64 r) |
r |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.228847509768442 | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) | |
| accuracy | 0.26171875 | (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) | |
| accuracy | 0.2734375 | (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)) | |
| accuracy | 13.811578966965197 | (cos.f64 (+.f64 b a)) | |
| accuracy | 0.17578125 | (/.f64 r (cos.f64 (+.f64 b a))) | |
| accuracy | 0.228847509768442 | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| accuracy | 0.26171875 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| accuracy | 13.811578966965197 | (cos.f64 (+.f64 b a)) | |
| accuracy | 0.0078125 | (sin.f64 b) | |
| accuracy | 0.18359375 | (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) | |
| accuracy | 0.2109375 | (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) | |
| accuracy | 31.146934850809323 | #s(approx (cos (+ b a)) (cos.f64 a)) | |
| accuracy | 0 | (*.f64 a a) | |
| accuracy | 6.20698299931871 | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) | |
| accuracy | 24.46705317121534 | #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))) | |
| accuracy | 33.31951014087929 | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) | |
| accuracy | 0.10222626953688403 | (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) | |
| accuracy | 0.17578125 | (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| accuracy | 0.20703125 | (*.f64 (sin.f64 b) (sin.f64 a)) | |
| accuracy | 0.228847509768442 | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
| 161.0ms | 184× | 1 | valid |
| 23.0ms | 72× | 0 | valid |
Compiled 233 to 41 computations (82.4% saved)
ival-cos: 40.0ms (27.4% of total)ival-mult: 26.0ms (17.8% of total)ival-div: 22.0ms (15.1% of total)ival-pow: 19.0ms (13% of total)ival-sin: 16.0ms (11% of total)adjust: 13.0ms (8.9% of total)ival-add: 6.0ms (4.1% of total)ival-sub: 2.0ms (1.4% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ()) |
#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.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 #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) (patch #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))) (patch #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) #<representation binary64>) () ()) |
#s(alt (sin.f64 b) (patch (sin.f64 b) #<representation binary64>) () ()) |
#s(alt #s(approx (cos (+ b a)) (cos.f64 a)) (patch #s(approx (cos (+ b a)) (cos.f64 a)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (patch (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 r (cos.f64 (+.f64 b a))) (patch (/.f64 r (cos.f64 (+.f64 b a))) #<representation binary64>) () ()) |
#s(alt (cos.f64 (+.f64 b a)) (patch (cos.f64 (+.f64 b a)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) (patch (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) #<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 (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ()) |
#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf r) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf r) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf r) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf r) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (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 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (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 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (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 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (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 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (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 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (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 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf b) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf b) (#s(alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) (patch (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor 0 r) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf r) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf r) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf r) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf r) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf r) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ r (cos b)) (taylor 0 a) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))) (taylor 0 a) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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))) (taylor 0 a) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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))) (taylor 0 a) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor inf a) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (taylor -inf a) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ r (cos a)) (taylor 0 b) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) (taylor 0 b) (#s(alt (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (patch (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (cos b) (* -1 (* a (sin b)))) (taylor 0 a) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) #<representation binary64>) () ())) ()) |
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#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor inf a) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) #<representation binary64>) () ())) ()) |
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#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor inf a) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor -inf a) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor -inf a) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor -inf a) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor -inf a) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (cos a) (* -1 (* b (sin a)))) (taylor 0 b) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) (taylor 0 b) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) (taylor 0 b) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor inf b) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor inf b) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor inf b) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor inf b) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor -inf b) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor -inf b) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor -inf b) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (cos a) (cos b)) (* (sin a) (sin b))) (taylor -inf b) (#s(alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (patch (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) (taylor 0 a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) (taylor 0 a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) (taylor 0 a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
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#s(alt (* (cos a) (cos b)) (taylor inf a) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) (taylor 0 b) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
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#s(alt (* (cos a) (cos b)) (taylor inf b) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor inf b) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos a) (cos b)) (taylor -inf b) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
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#s(alt (* (cos a) (cos b)) (taylor -inf b) (#s(alt (*.f64 (cos.f64 a) (cos.f64 b)) (patch (*.f64 (cos.f64 a) (cos.f64 b)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) (patch #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) (patch #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) (patch #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) (patch #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) #<representation binary64>) () ())) ()) |
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#s(alt (* b (* r (+ 1 (* 1/2 (pow a 2))))) (taylor inf b) (#s(alt (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) #<representation binary64>) () ())) ()) |
#s(alt (* b (* r (+ 1 (* 1/2 (pow a 2))))) (taylor inf b) (#s(alt (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) #<representation binary64>) () ())) ()) |
#s(alt (* b (* r (+ 1 (* 1/2 (pow a 2))))) (taylor inf b) (#s(alt (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) #<representation binary64>) () ())) ()) |
#s(alt (* b (* r (+ 1 (* 1/2 (pow a 2))))) (taylor inf b) (#s(alt (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) #<representation binary64>) () ())) ()) |
#s(alt (* b (* r (+ 1 (* 1/2 (pow a 2))))) (taylor -inf b) (#s(alt (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) #<representation binary64>) () ())) ()) |
#s(alt (* b (* r (+ 1 (* 1/2 (pow a 2))))) (taylor -inf b) (#s(alt (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) #<representation binary64>) () ())) ()) |
#s(alt (* b (* r (+ 1 (* 1/2 (pow a 2))))) (taylor -inf b) (#s(alt (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) #<representation binary64>) () ())) ()) |
#s(alt (* b (* r (+ 1 (* 1/2 (pow a 2))))) (taylor -inf b) (#s(alt (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 a) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (pow a 2))) (taylor 0 a) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (pow a 2))) (taylor 0 a) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (pow a 2))) (taylor 0 a) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow a 2)) (taylor inf a) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) (taylor inf a) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) (taylor inf a) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) (taylor inf a) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow a 2)) (taylor -inf a) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) (taylor -inf a) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) (taylor -inf a) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) (taylor -inf a) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b r) (cos a)) (taylor 0 b) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<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) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<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) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<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) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf b) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos b)) (taylor 0 a) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<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) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<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) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<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) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf a) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (- b (* -1 a)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor 0 r) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor inf r) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ (* r (sin b)) (cos (+ a b))) (taylor -inf r) (#s(alt (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) (patch (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) #<representation binary64>) () ())) ()) |
#s(alt (/ b (cos a)) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) (taylor 0 b) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (+ a b))) (taylor inf b) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (sin b) (cos (- a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) (patch (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
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#s(alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) (taylor 0 a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))) (taylor 0 a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))) (taylor 0 a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* (sin a) (sin b)) (taylor inf a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* (sin a) (sin b)) (taylor inf a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* (sin a) (sin b)) (taylor inf a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* (sin a) (sin b)) (taylor inf a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* (sin a) (sin b)) (taylor -inf a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* (sin a) (sin b)) (taylor -inf a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* (sin a) (sin b)) (taylor -inf a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* (sin a) (sin b)) (taylor -inf a) (#s(alt (*.f64 (sin.f64 b) (sin.f64 a)) (patch (*.f64 (sin.f64 b) (sin.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (pow a 2) (taylor 0 a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ()) |
#s(alt (pow a 2) (taylor 0 a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ()) |
#s(alt (pow a 2) (taylor 0 a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ()) |
#s(alt (pow a 2) (taylor 0 a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ()) |
#s(alt (pow a 2) (taylor inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ()) |
#s(alt (pow a 2) (taylor inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ()) |
#s(alt (pow a 2) (taylor inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ()) |
#s(alt (pow a 2) (taylor inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ()) |
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ()) |
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ()) |
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ()) |
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ()) |
144 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | r | @ | 0 | (* (+ (* 1/2 (* a a)) 1) (* r b)) |
| 1.0ms | a | @ | inf | (* (/ r (- (* (cos a) (cos b)) (* (sin b) (sin a)))) (sin b)) |
| 1.0ms | r | @ | 0 | (* (/ r (- (* (cos a) (cos b)) (* (sin b) (sin a)))) (sin b)) |
| 1.0ms | b | @ | -inf | (* (/ r (- (* (cos a) (cos b)) (* (sin b) (sin a)))) (sin b)) |
| 1.0ms | a | @ | -inf | (* (/ r (- (* (cos a) (cos b)) (* (sin b) (sin a)))) (sin b)) |
| 1× | egg-herbie |
| 7 862× | lower-fma.f64 |
| 7 862× | lower-fma.f32 |
| 7 740× | lower-*.f64 |
| 7 740× | lower-*.f32 |
| 2 270× | lower-neg.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 435 | 7369 |
| 1 | 1412 | 7044 |
| 2 | 4781 | 6965 |
| 0 | 8316 | 6703 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin 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))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin 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))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ 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))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(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)))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin 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))))))) |
(* (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 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 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)) (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))) |
(/ (* 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 (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 (* -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 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin 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)))) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(* b r) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(* b r) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(* 1/2 (* (pow a 2) (* b r))) |
(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2)))) |
(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2)))) |
(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2)))) |
(* 1/2 (* (pow a 2) (* b r))) |
(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2)))) |
(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2)))) |
(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2)))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
1 |
(+ 1 (* 1/2 (pow a 2))) |
(+ 1 (* 1/2 (pow a 2))) |
(+ 1 (* 1/2 (pow a 2))) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
(* (pow a 2) (+ 1/2 (/ 1 (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)))) |
(/ (* 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 (* -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 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin 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)))) |
(/ (* 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))) |
(/ 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)))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a 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) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (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 |
(* 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)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(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)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 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)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 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)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* 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))) |
(/ (* 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 (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 (* -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 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin 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)))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ 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))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 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))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 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)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 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)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(* -1 b) |
(* b (- (* 1/6 (pow b 2)) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (/ r (cos a))) |
(+ (* -1 (/ r (cos a))) (* -1 (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))))) |
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (+ (* -1/2 (/ r (cos a))) (* 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 (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (/ r (cos b))) |
(+ (* -1 (/ r (cos b))) (* -1 (/ (* a (* r (sin b))) (pow (cos b) 2)))) |
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))))) |
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (+ (* -1/2 (/ r (cos b))) (* 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 (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* 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 (* -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 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin 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)))) |
(/ (* 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 b) |
(/ (- (* -1/6 (pow b 2)) 1) b) |
(/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b) |
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) b) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(* b (sin a)) |
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a)))))))) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* a (sin b)) |
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
| Outputs |
|---|
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
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1 |
#s(literal 1 binary64) |
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(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
(fma.f64 a (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/2 (pow a 2)) |
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(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
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(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
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(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
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(/ b (cos a)) |
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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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(sin b) |
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(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 a (-.f64 (*.f64 a (fma.f64 (cos.f64 b) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 b) a)))) (sin.f64 b)) (cos.f64 b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* b r) (cos a)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(* 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 b (fma.f64 b (fma.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))))) (/.f64 r (cos.f64 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)))) |
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) (*.f64 b (fma.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (*.f64 r a) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 r (sin.f64 b)) (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 a (fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 r (sin.f64 b)) (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 a (fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (fma.f64 (fma.f64 (-.f64 (*.f64 (sin.f64 b) (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 b))) (*.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (neg.f64 a) (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) |
(+ (* 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))) |
(fma.f64 b (fma.f64 b (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 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))) |
(fma.f64 b (fma.f64 b (-.f64 (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64))) (*.f64 b (fma.f64 r (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (neg.f64 r) (*.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)))) (/.f64 (sin.f64 a) (cos.f64 a)))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- a (* -1 b)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- a (* -1 b)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- a (* -1 b)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- a (* -1 b)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ 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 a (fma.f64 r (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (fma.f64 (/.f64 r (cos.f64 b)) #s(literal 1/2 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (/.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 a (fma.f64 a (fma.f64 (fma.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 b) (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 b))) (*.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (cos.f64 b))) (neg.f64 a) (fma.f64 (/.f64 r (cos.f64 b)) #s(literal 1/2 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 r (cos.f64 b))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- b (* -1 a)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- b (* -1 a)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- b (* -1 a)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (- b (* -1 a)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b (sin.f64 a)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 a))) (cos.f64 a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 a (-.f64 (*.f64 a (fma.f64 (cos.f64 b) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 b) a)))) (sin.f64 b)) (cos.f64 b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(* -1 b) |
(neg.f64 b) |
(* b (- (* 1/6 (pow b 2)) 1)) |
(*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1)) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1)) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(* -1 (sin b)) |
(neg.f64 (sin.f64 b)) |
(* -1 (sin b)) |
(neg.f64 (sin.f64 b)) |
(* -1 (sin b)) |
(neg.f64 (sin.f64 b)) |
(* -1 (sin b)) |
(neg.f64 (sin.f64 b)) |
(* -1 (sin b)) |
(neg.f64 (sin.f64 b)) |
(* -1 (sin b)) |
(neg.f64 (sin.f64 b)) |
(* -1 (sin b)) |
(neg.f64 (sin.f64 b)) |
(* -1 (sin b)) |
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| 3 948× | lower-/.f32 |
| 3 936× | lower-/.f64 |
| 3 728× | lower-*.f32 |
| 3 712× | lower-*.f64 |
| 3 000× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 208 |
| 0 | 73 | 168 |
| 1 | 246 | 166 |
| 2 | 1471 | 166 |
| 0 | 9186 | 166 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) |
(/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) |
(sin.f64 b) |
#s(approx (cos (+ b a)) (cos.f64 a)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(cos.f64 (+.f64 b a)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(*.f64 a a) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(exp.f64 (+.f64 (log.f64 (sin.f64 b)) (log.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))))) |
(exp.f64 (+.f64 (log.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))) (log.f64 (sin.f64 b)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))) |
(/.f64 r (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(/.f64 r (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))) |
(/.f64 r (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) (neg.f64 r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (*.f64 (neg.f64 r) #s(literal -1 binary64)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b)))) |
(/.f64 (neg.f64 r) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))) |
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(/.f64 (neg.f64 r) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))) |
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (*.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 r) #s(literal -1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal 2 binary64)) (pow.f64 (sin.f64 b) #s(literal -2 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 b) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(literal 1 binary64))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #s(literal 1 binary64))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (neg.f64 r) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))) |
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1/2 binary64)) (sin.f64 b))) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (neg.f64 r)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (*.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 r (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 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r))) |
(*.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 (sin.f64 b) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 r (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))))))) |
(*.f64 (/.f64 (neg.f64 r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))))))) |
(*.f64 (/.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))))))) |
(*.f64 (/.f64 (*.f64 r (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)))))) (cos.f64 (+.f64 a 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 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (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 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))))))) |
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))))))) |
(*.f64 (/.f64 (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 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 (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 (neg.f64 r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a 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 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (+.f64 a b)) r))) |
(*.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 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (cos.f64 (+.f64 a b))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (cos.f64 (+.f64 a b))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(*.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) (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 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 (/.f64 (neg.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))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 r)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
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(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (+.f64 a b)) r))) |
(*.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 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (cos.f64 (+.f64 a b))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (cos.f64 (+.f64 a b))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(*.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) (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 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 (/.f64 (neg.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))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 r)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 (neg.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) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (*.f64 r (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 b) (sin.f64 a)) #s(literal 3 binary64)))) #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) (+.f64 a b))))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))) (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 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))) #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 b) (sin.f64 a)) #s(literal 3 binary64)))) #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) (+.f64 a b))))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))) (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 b) (sin.f64 a)) #s(literal 3 binary64)))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 r (+.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 binary64)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(*.f64 (/.f64 (/.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 (/.f64 r (+.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 binary64)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(*.f64 (/.f64 (/.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) r)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 (+.f64 a b)))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1/2 binary64)) (sin.f64 b))) |
(*.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1/2 binary64)) (sin.f64 b)) (/.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1/2 binary64)) (sin.f64 b))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 (/.f64 r (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) #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) (+.f64 a b))))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))) |
(*.f64 (/.f64 (/.f64 r (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 r (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) #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) (+.f64 a b))))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))) |
(*.f64 (/.f64 (/.f64 (neg.f64 r) (+.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 binary64)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(*.f64 (/.f64 (/.f64 (neg.f64 r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (*.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (neg.f64 r) (+.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 binary64)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(exp.f64 (neg.f64 (log.f64 (sin.f64 b)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 b))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 #s(literal 1 binary64) (sin.f64 b)) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (sin.f64 b)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))) |
(pow.f64 (sin.f64 b) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 b) #s(literal -2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) |
(+.f64 (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (-.f64 (cos.f64 (+.f64 a b)) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (cos.f64 (+.f64 a b)) #s(literal -2 binary64)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -2 binary64))) |
(-.f64 (/.f64 (-.f64 (cos.f64 (+.f64 a b)) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal -2 binary64)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal -2 binary64))) |
(fma.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64)))) |
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) |
(/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (sin.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 (sin.f64 a) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (sin.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.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 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #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) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(/.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 (sin.f64 a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (neg.f64 (sin.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 a b)))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 2 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 (sin.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1/2 binary64)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) |
(*.f64 (sin.f64 b) (/.f64 (sin.f64 a) #s(literal 1 binary64))) |
(*.f64 (sin.f64 b) (/.f64 (sin.f64 a) #s(literal -1 binary64))) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) |
(*.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 (neg.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 1/2 binary64)) |
(*.f64 (neg.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (sin.f64 a) #s(literal -1 binary64)) (sin.f64 b)) |
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 (sin.f64 a) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (sin.f64 a) #s(literal 1 binary64)) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 a) #s(literal -1 binary64)) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 a) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) |
(pow.f64 a #s(literal 2 binary64)) |
(pow.f64 (*.f64 a a) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64)) |
(*.f64 a a) |
(*.f64 (*.f64 a a) #s(literal 1 binary64)) |
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a))) |
Compiled 47 204 to 3 536 computations (92.5% saved)
97 alts after pruning (89 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 008 | 42 | 2 050 |
| Fresh | 17 | 47 | 64 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 2 027 | 97 | 2 124 |
| Status | Accuracy | Program |
|---|---|---|
| 46.8% | (pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 78.1% | (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) | |
| 17.2% | (/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 78.0% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) | |
| ✓ | 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 66.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b)))) | |
| 52.1% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) | |
| 98.3% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))))) | |
| 98.5% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| 98.4% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.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 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| 17.2% | (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) | |
| 20.9% | (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a)))) | |
| 62.0% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))) | |
| 65.1% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) | |
| 34.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) | |
| 35.0% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 47.3% | (/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b))) | |
| 78.1% | (/.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a)))) | |
| 78.2% | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) | |
| 51.4% | (/.f64 (sin.f64 b) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r)) | |
| 47.9% | (/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b))) | |
| 49.8% | (/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) | |
| 78.2% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 51.4% | (/.f64 r (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b))) | |
| 51.2% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b)) r)) | |
| 78.0% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) | |
| 99.3% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (neg.f64 r)) #s(literal -1 binary64))) | |
| 17.2% | (*.f64 (/.f64 (/.f64 r (+.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 binary64)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| 20.9% | (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) r) | |
| 98.5% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 77.8% | (*.f64 (/.f64 (*.f64 r (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)))))) (cos.f64 (+.f64 a b))) | |
| 99.0% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))) (cos.f64 (-.f64 a b))) | |
| 64.8% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(approx (cos (- a b)) (cos.f64 b))) | |
| 51.0% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(approx (cos (- a b)) (cos.f64 a))) | |
| 51.1% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 #s(approx (cos (- a b)) (cos.f64 a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) | |
| 54.2% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) #s(approx (* (cos (- a b)) (cos (+ b a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 a b))) | |
| 99.3% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) | |
| 17.2% | (*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) | |
| 20.9% | (*.f64 (/.f64 (sin.f64 b) (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a)))) r) | |
| 73.4% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 r))) | |
| 62.5% | (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) r) | |
| 65.0% | (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))) r) | |
| ✓ | 51.4% | (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) |
| 17.2% | (*.f64 (/.f64 (neg.f64 r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) | |
| 17.2% | (*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| 47.5% | (*.f64 (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (cos (+ b a)) (cos.f64 a))) r) | |
| ✓ | 99.5% | (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.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) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 78.4% | (*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) | |
| 98.6% | (*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))) (sin.f64 b)) | |
| 77.9% | (*.f64 (/.f64 r (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (cos.f64 (+.f64 a b)))) (sin.f64 b)) | |
| 78.2% | (*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) (sin.f64 b)) | |
| 99.4% | (*.f64 (/.f64 r (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) | |
| 99.5% | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))))) (sin.f64 b)) | |
| 60.6% | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sin.f64 a)))) (sin.f64 b)) | |
| ✓ | 99.5% | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
| 66.4% | (*.f64 (/.f64 r (-.f64 #s(approx (* (cos a) (cos b)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) | |
| 52.2% | (*.f64 (/.f64 r (-.f64 #s(approx (* (cos a) (cos b)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) | |
| 48.1% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64))) | |
| 47.4% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))))) | |
| ✓ | 78.3% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
| 68.1% | (*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b)) | |
| 65.1% | (*.f64 (/.f64 r #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 b))) (sin.f64 b)) | |
| ✓ | 51.5% | (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) |
| 47.4% | (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) b))) | |
| 38.3% | (*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b)) | |
| 78.1% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) r)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 51.4% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b))) r) | |
| 51.4% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r)) (sin.f64 b)) | |
| 98.3% | (*.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) (neg.f64 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))))))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))) | |
| 51.3% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) #s(approx (cos (+ b a)) (cos.f64 a)))) (sin.f64 b)) | |
| 17.2% | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) | |
| 20.9% | (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (*.f64 r (sin.f64 b))) | |
| 98.5% | (*.f64 (*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))) (sin.f64 b)) | |
| 77.8% | (*.f64 (*.f64 (/.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| 77.7% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 78.2% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) | |
| 51.4% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) r) | |
| 20.9% | (*.f64 (sin.f64 b) (/.f64 (neg.f64 r) #s(approx (cos (+ b a)) (cos.f64 a)))) | |
| 78.2% | (*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))) | |
| 48.1% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) | |
| 39.7% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r)) #s(literal -1 binary64))) (sin.f64 b)) | |
| 47.9% | (*.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) r) | |
| 1.5% | (exp.f64 (+.f64 (log.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))) (log.f64 (sin.f64 b)))) | |
| 32.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 33.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) | |
| 32.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 47.7% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))) | |
| 47.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) | |
| 34.3% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 b (/.f64 #s(literal 1 binary64) r)))) | |
| 28.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b)))))) | |
| ✓ | 29.8% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
| 13.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b)))) | |
| ✓ | 34.4% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
| 11.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) b)))) |
Compiled 4 751 to 1 699 computations (64.2% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 b (/.f64 #s(literal 1 binary64) r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) r) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) b) b))) |
(*.f64 (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (cos (+ b a)) (cos.f64 a))) r) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) |
(*.f64 (sin.f64 b) (/.f64 (neg.f64 r) #s(approx (cos (+ b a)) (cos.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) r) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 r (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r)) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r)) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b))) r) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) #s(approx (cos (+ b a)) (cos.f64 a)))) (sin.f64 b)) |
(/.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b)) r)) |
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) r) |
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) r)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) |
(*.f64 (*.f64 (/.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (*.f64 r (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)))))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))) |
(*.f64 (/.f64 r (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (cos.f64 (+.f64 a b)))) (sin.f64 b)) |
(*.f64 (/.f64 (/.f64 r (+.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 binary64)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(*.f64 (/.f64 (neg.f64 r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 r))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r)) #s(literal -1 binary64))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) |
(*.f64 (/.f64 r (-.f64 #s(approx (* (cos a) (cos b)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (-.f64 #s(approx (* (cos a) (cos b)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b)))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) #s(approx (* (cos (- a b)) (cos (+ b a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 #s(approx (cos (- a b)) (cos.f64 a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(approx (cos (- a b)) (cos.f64 a))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(approx (cos (- a b)) (cos.f64 b))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sin.f64 b) (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (*.f64 r (sin.f64 b))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b)))) |
(*.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (-.f64 a b)) r))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) |
(exp.f64 (+.f64 (log.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))) (log.f64 (sin.f64 b)))) |
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (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 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))))) (sin.f64 b)) |
(*.f64 (/.f64 r (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.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) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (cos.f64 (-.f64 a b)))) |
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 r (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))))) (cos.f64 (-.f64 a b))) (/.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 a b))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (*.f64 (-.f64 (pow.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b))) (cos.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 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.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 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))) (sin.f64 b)) |
(*.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) (neg.f64 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))))))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (-.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.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) 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 1/2 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 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.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 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (sin.f64 (neg.f64 b)) (*.f64 (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))))) |
| Outputs |
|---|
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
4 calls:
| 65.0ms | b |
| 65.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 55.0ms | r |
| 51.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | r |
| 99.5% | 1 | a |
| 99.5% | 1 | b |
| 99.5% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 b (/.f64 #s(literal 1 binary64) r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) r) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) b) b))) |
(*.f64 (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (cos (+ b a)) (cos.f64 a))) r) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) |
(*.f64 (sin.f64 b) (/.f64 (neg.f64 r) #s(approx (cos (+ b a)) (cos.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) r) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 r (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r)) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r)) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b))) r) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) #s(approx (cos (+ b a)) (cos.f64 a)))) (sin.f64 b)) |
(/.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b)) r)) |
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) r) |
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) r)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) |
(*.f64 (*.f64 (/.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (*.f64 r (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)))))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))) |
(*.f64 (/.f64 r (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (cos.f64 (+.f64 a b)))) (sin.f64 b)) |
(*.f64 (/.f64 (/.f64 r (+.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 binary64)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(*.f64 (/.f64 (neg.f64 r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 r))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r)) #s(literal -1 binary64))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) |
(*.f64 (/.f64 r (-.f64 #s(approx (* (cos a) (cos b)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (-.f64 #s(approx (* (cos a) (cos b)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b)))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) #s(approx (* (cos (- a b)) (cos (+ b a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 #s(approx (cos (- a b)) (cos.f64 a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(approx (cos (- a b)) (cos.f64 a))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(approx (cos (- a b)) (cos.f64 b))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sin.f64 b) (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (*.f64 r (sin.f64 b))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b)))) |
(*.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (-.f64 a b)) r))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) |
(exp.f64 (+.f64 (log.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))) (log.f64 (sin.f64 b)))) |
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
| Outputs |
|---|
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
4 calls:
| 79.0ms | b |
| 67.0ms | r |
| 62.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 42.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | r |
| 99.5% | 1 | a |
| 99.5% | 1 | b |
| 99.5% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 b (/.f64 #s(literal 1 binary64) r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) r) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) b) b))) |
(*.f64 (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (cos (+ b a)) (cos.f64 a))) r) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) |
(*.f64 (sin.f64 b) (/.f64 (neg.f64 r) #s(approx (cos (+ b a)) (cos.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) r) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 r (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r)) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r)) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b))) r) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) #s(approx (cos (+ b a)) (cos.f64 a)))) (sin.f64 b)) |
(/.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b)) r)) |
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) r) |
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) r)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) |
(*.f64 (*.f64 (/.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (*.f64 r (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)))))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))) |
(*.f64 (/.f64 r (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (cos.f64 (+.f64 a b)))) (sin.f64 b)) |
(*.f64 (/.f64 (/.f64 r (+.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 binary64)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(*.f64 (/.f64 (neg.f64 r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 r))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r)) #s(literal -1 binary64))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) |
(*.f64 (/.f64 r (-.f64 #s(approx (* (cos a) (cos b)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (-.f64 #s(approx (* (cos a) (cos b)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b)))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) #s(approx (* (cos (- a b)) (cos (+ b a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 #s(approx (cos (- a b)) (cos.f64 a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(approx (cos (- a b)) (cos.f64 a))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(approx (cos (- a b)) (cos.f64 b))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sin.f64 b) (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (*.f64 r (sin.f64 b))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b)))) |
(*.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (-.f64 a b)) r))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) |
(exp.f64 (+.f64 (log.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))) (log.f64 (sin.f64 b)))) |
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
| Outputs |
|---|
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
4 calls:
| 101.0ms | a |
| 81.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 35.0ms | r |
| 32.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.4% | 1 | r |
| 78.4% | 1 | a |
| 78.4% | 1 | b |
| 78.4% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 b (/.f64 #s(literal 1 binary64) r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) r) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) b) b))) |
(*.f64 (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (cos (+ b a)) (cos.f64 a))) r) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) |
(*.f64 (sin.f64 b) (/.f64 (neg.f64 r) #s(approx (cos (+ b a)) (cos.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) r) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 r (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r)) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r)) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b))) r) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) r) #s(approx (cos (+ b a)) (cos.f64 a)))) (sin.f64 b)) |
(/.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (sin.f64 b)) r)) |
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) r) |
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) r)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a)))))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) |
(*.f64 (*.f64 (/.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (*.f64 r (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)))))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))) |
(*.f64 (/.f64 r (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (cos.f64 (+.f64 a b)))) (sin.f64 b)) |
(*.f64 (/.f64 (/.f64 r (+.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 binary64)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(*.f64 (/.f64 (neg.f64 r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (/.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (exp.f64 (log.f64 r))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) r)) #s(literal -1 binary64))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) |
(*.f64 (/.f64 r (-.f64 #s(approx (* (cos a) (cos b)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (-.f64 #s(approx (* (cos a) (cos b)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b)))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) #s(approx (* (cos (- a b)) (cos (+ b a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 #s(approx (cos (- a b)) (cos.f64 a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(approx (cos (- a b)) (cos.f64 a))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(approx (cos (- a b)) (cos.f64 b))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sin.f64 b) (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (*.f64 r (sin.f64 b))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b)))) |
(*.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (-.f64 a b)) r))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) |
(exp.f64 (+.f64 (log.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))) (log.f64 (sin.f64 b)))) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
4 calls:
| 127.0ms | b |
| 69.0ms | a |
| 58.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 36.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.3% | 1 | r |
| 78.3% | 1 | b |
| 78.3% | 1 | a |
| 78.3% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 b (/.f64 #s(literal 1 binary64) r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) r) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) b) b))) |
(*.f64 (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (cos (+ b a)) (cos.f64 a))) r) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) |
(*.f64 (sin.f64 b) (/.f64 (neg.f64 r) #s(approx (cos (+ b a)) (cos.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a)))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
4 calls:
| 24.0ms | b |
| 23.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 12.0ms | a |
| 11.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.3% | 3 | a |
| 65.1% | 1 | r |
| 65.1% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 78.5% | 3 | b |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 b (/.f64 #s(literal 1 binary64) r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) r) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) b) b))) |
(*.f64 (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (cos (+ b a)) (cos.f64 a))) r) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 a))) r) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ b a)) (cos.f64 b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
1 calls:
| 10.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.5% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 b (/.f64 #s(literal 1 binary64) r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) r) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b)) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) b) b))) |
(*.f64 (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (cos (+ b a)) (cos.f64 a))) r) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) #s(approx (sin b) (fma.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b) b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (fma.f64 b (fma.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b))) |
| Outputs |
|---|
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b)) |
4 calls:
| 43.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 43.0ms | b |
| 8.0ms | a |
| 8.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.9% | 1 | r |
| 47.9% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 47.9% | 1 | a |
| 51.9% | 3 | b |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 b (/.f64 #s(literal 1 binary64) r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a)))) |
(*.f64 #s(approx (/ (sin b) (cos (+ b a))) (/.f64 b (cos.f64 a))) r) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
3 calls:
| 34.0ms | b |
| 4.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 4.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.9% | 1 | r |
| 47.9% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 47.9% | 1 | b |
Compiled 20 to 14 computations (30% saved)
Total -15.7b remaining (-37.5%)
Threshold costs -15.7b (-37.5%)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r)) b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 b (/.f64 #s(literal 1 binary64) r)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b)))))) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
4 calls:
| 38.0ms | b |
| 3.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 3.0ms | a |
| 3.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.4% | 1 | a |
| 34.4% | 1 | b |
| 34.4% | 1 | r |
| 34.4% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 24 to 17 computations (29.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 99.0ms | 5.0645069319793314e-21 | 2.026848180598591e-20 |
| 114.0ms | -1.31673625802933e+20 | -2.7411342155031596e-15 |
| 193.0ms | 130× | 1 | valid |
| 9.0ms | 142× | 0 | valid |
Compiled 406 to 269 computations (33.7% saved)
ival-cos: 96.0ms (88.6% of total)ival-sin: 3.0ms (2.8% of total)ival-add: 2.0ms (1.8% of total)ival-div: 2.0ms (1.8% of total)adjust: 2.0ms (1.8% of total)ival-mult: 2.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.0645069319793314e-21 | 2.026848180598591e-20 |
| 1.0ms | -1.31673625802933e+20 | -2.7411342155031596e-15 |
Compiled 406 to 269 computations (33.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 2481388529256.668 | 316624308307553.25 |
| 43.0ms | -1.4964530406108298e+22 | -1.31673625802933e+20 |
| 55.0ms | 204× | 1 | valid |
| 2.0ms | 20× | 0 | valid |
Compiled 337 to 224 computations (33.5% saved)
ival-sin: 25.0ms (50.3% of total)ival-cos: 11.0ms (22.1% of total)ival-add: 5.0ms (10.1% of total)ival-div: 3.0ms (6% of total)adjust: 3.0ms (6% of total)ival-mult: 2.0ms (4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 30× | *-commutative_binary64 |
| 12× | +-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 255 |
| 1 | 87 | 255 |
| 2 | 99 | 255 |
| 3 | 106 | 255 |
| 4 | 110 | 255 |
| 5 | 111 | 255 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(if (<=.f64 b #s(literal -4796153459164483/73786976294838206464 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) (if (<=.f64 b #s(literal 6646139978924579/332306998946228968225951765070086144 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))) |
(if (<=.f64 b #s(literal -4796153459164483/73786976294838206464 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (if (<=.f64 b #s(literal 6646139978924579/332306998946228968225951765070086144 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))) |
(if (<=.f64 b #s(literal -580000000000000000000 binary64)) (*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b)) (if (<=.f64 b #s(literal 5500000000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) (*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
| Outputs |
|---|
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (sin.f64 b) (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(if (<=.f64 b #s(literal -4796153459164483/73786976294838206464 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) (if (<=.f64 b #s(literal 6646139978924579/332306998946228968225951765070086144 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))) |
(if (<=.f64 b #s(literal -4796153459164483/73786976294838206464 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (if (<=.f64 b #s(literal 6646139978924579/332306998946228968225951765070086144 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))) |
(if (<=.f64 b #s(literal -580000000000000000000 binary64)) (*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b)) (if (<=.f64 b #s(literal 5500000000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) (*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b)))) |
(if (<=.f64 b #s(literal -580000000000000000000 binary64)) (*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 5500000000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) (*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos a) #s(literal 1 binary64))))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
| 10 934× | lower-fma.f64 |
| 10 934× | lower-fma.f32 |
| 10 214× | lower-fma.f64 |
| 10 214× | lower-fma.f32 |
| 7 696× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 645 | 7994 |
| 1 | 2207 | 7405 |
| 0 | 8172 | 7125 |
| 0 | 433 | 6074 |
| 1 | 1384 | 5833 |
| 2 | 4710 | 5732 |
| 0 | 8360 | 5517 |
| 0 | 167 | 960 |
| 1 | 517 | 928 |
| 2 | 1595 | 886 |
| 3 | 5409 | 885 |
| 0 | 8292 | 853 |
| 0 | 36 | 180 |
| 0 | 62 | 194 |
| 1 | 225 | 166 |
| 2 | 1451 | 166 |
| 0 | 8799 | 166 |
| 0 | 46 | 208 |
| 0 | 73 | 168 |
| 1 | 246 | 166 |
| 2 | 1471 | 166 |
| 0 | 9186 | 166 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 44 | 19 |
| 2 | 234 | 19 |
| 3 | 2050 | 19 |
| 0 | 8441 | 19 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 555 to 270 computations (51.4% saved)
(negabs r)
Compiled 504 to 214 computations (57.5% saved)
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