
Time bar (total: 14.0s)
| 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)
| 1.4s | 5 772× | 1 | valid |
| 216.0ms | 2 484× | 0 | valid |
ival-sin: 375.0ms (32.2% of total)ival-cos: 323.0ms (27.8% of total)ival-add: 151.0ms (13% of total)adjust: 110.0ms (9.5% of total)ival-mult: 100.0ms (8.6% of total)ival-div: 93.0ms (8% of total)ival-true: 7.0ms (0.6% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 71 | 122 | (-8.910876714653629e-102 4.6865790629854954e-185 -1.3017228430151202e+211) | 0 | - | (cos.f64 (+.f64 a b)) |
| 0 | 0 | - | 0 | - | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 0 | 0 | - | 0 | - | (+.f64 a b) |
| 0 | 0 | - | 0 | - | (sin.f64 b) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | r |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
cos.f64 | (cos.f64 (+.f64 a b)) | sensitivity | 193 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 71 | 0 |
| - | 122 | 63 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 71 | 0 | 0 |
| - | 122 | 0 | 63 |
| number | freq |
|---|---|
| 0 | 63 |
| 1 | 193 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 59.0ms | 360× | 1 | valid |
| 11.0ms | 152× | 0 | valid |
Compiled 103 to 36 computations (65% saved)
ival-cos: 16.0ms (33% of total)ival-sin: 11.0ms (22.7% of total)adjust: 6.0ms (12.4% of total)ival-mult: 6.0ms (12.4% of total)ival-add: 5.0ms (10.3% of total)ival-div: 4.0ms (8.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 654× | times-frac |
| 520× | associate-*r* |
| 518× | unsub-neg |
| 466× | distribute-rgt-in |
| 464× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 88 |
| 1 | 89 | 84 |
| 2 | 178 | 84 |
| 3 | 431 | 84 |
| 4 | 1079 | 84 |
| 5 | 2510 | 84 |
| 6 | 3268 | 84 |
| 7 | 3664 | 84 |
| 8 | 4244 | 84 |
| 9 | 4620 | 84 |
| 10 | 4632 | 84 |
| 11 | 4636 | 84 |
| 12 | 4636 | 84 |
| 13 | 4676 | 84 |
| 14 | 4692 | 84 |
| 15 | 4692 | 84 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 17 | 9 |
| 2 | 19 | 9 |
| 3 | 21 | 9 |
| 4 | 22 | 9 |
| 0 | 22 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 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 |
|---|---|---|
| ▶ | 75.9% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 (+.f64 a b)) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 12× | lower-*.f32 |
| 10× | lower-*.f64 |
| 6× | *-commutative |
| 6× | lower-/.f32 |
| 4× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 0 | 13 | 28 |
| 1 | 17 | 28 |
| 2 | 19 | 28 |
| 3 | 21 | 28 |
| 4 | 22 | 28 |
| 0 | 22 | 28 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
r |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
r |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(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 | (sin.f64 b) | |
| accuracy | 0.16015625 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) | |
| accuracy | 0.25228500976844204 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) | |
| accuracy | 15.41253794755087 | (cos.f64 (+.f64 a b)) |
| 42.0ms | 180× | 1 | valid |
| 13.0ms | 76× | 0 | valid |
Compiled 30 to 10 computations (66.7% saved)
ival-sin: 12.0ms (32.2% of total)ival-cos: 11.0ms (29.5% of total)ival-add: 6.0ms (16.1% of total)adjust: 3.0ms (8% of total)ival-mult: 3.0ms (8% of total)ival-div: 2.0ms (5.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))> |
#<alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))> |
#<alt (sin.f64 b)> |
#<alt (cos.f64 (+.f64 a b))> |
| Outputs |
|---|
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<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))))> |
#<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))))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<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)))> |
#<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)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ b (cos a))> |
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))> |
#<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))))> |
#<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))))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos b))> |
#<alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))> |
#<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)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt b> |
#<alt (* b (+ 1 (* -1/6 (pow b 2))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | b | @ | inf | (* r (/ (sin b) (cos (+ a b)))) |
| 2.0ms | a | @ | inf | (/ (sin b) (cos (+ a b))) |
| 2.0ms | r | @ | 0 | (* r (/ (sin b) (cos (+ a b)))) |
| 1.0ms | r | @ | inf | (* r (/ (sin b) (cos (+ a b)))) |
| 1.0ms | b | @ | 0 | (* r (/ (sin b) (cos (+ a b)))) |
| 1× | egg-herbie |
| 9 408× | lower-fma.f64 |
| 9 408× | lower-fma.f32 |
| 5 356× | lower-*.f64 |
| 5 356× | lower-*.f32 |
| 2 876× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 215 | 1226 |
| 1 | 660 | 1174 |
| 2 | 2069 | 1116 |
| 3 | 7705 | 1116 |
| 0 | 8285 | 1075 |
| 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)))) |
(/ 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 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 b (/.f64 r (cos.f64 a))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (fma.f64 r (/.f64 (*.f64 b (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 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.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 (sin.f64 a) (/.f64 (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)))) (neg.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 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 (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 r (/.f64 (sin.f64 b) (cos.f64 b)) (*.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 a (*.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)))))))) |
(+ (* 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 a (neg.f64 (fma.f64 a (fma.f64 (sin.f64 b) (/.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)))) (cos.f64 b)) (*.f64 r (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (*.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 (*.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))) |
(/ (* 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))) |
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 b (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (fma.f64 b (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (fma.f64 b (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (*.f64 b (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (neg.f64 (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 a (fma.f64 a (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b)))))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 a (fma.f64 a (*.f64 (neg.f64 a) (fma.f64 (sin.f64 b) (/.f64 (-.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))) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (fma.f64 a (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b))))))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b 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 (*.f64 b 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)) |
| 6 400× | lower-*.f32 |
| 6 398× | lower-*.f64 |
| 4 812× | lower-/.f32 |
| 4 810× | lower-/.f64 |
| 3 770× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 22 |
| 0 | 13 | 22 |
| 1 | 44 | 22 |
| 2 | 234 | 22 |
| 3 | 1985 | 22 |
| 0 | 10212 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
(cos.f64 (+.f64 a b)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))) r)) |
(neg.f64 (*.f64 r (/.f64 (sin.f64 (neg.f64 b)) (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 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.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 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 r #s(literal -1 binary64)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 #s(literal -1 binary64) r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) (cos.f64 (+.f64 b a))) |
(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 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r)) |
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 b a))))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
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(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (neg.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)) |
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(*.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
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(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
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(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a)))) |
(neg.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (cos.f64 (+.f64 b a))) |
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(/.f64 (*.f64 (sin.f64 (neg.f64 b)) #s(literal 1 binary64)) (neg.f64 (cos.f64 (+.f64 b a)))) |
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(pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
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(-.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 b))) |
(sin.f64 b) |
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(*.f64 #s(literal 1 binary64) (sin.f64 b)) |
(*.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 b))) |
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(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))) |
(cos.f64 (+.f64 b a)) |
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(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)))) |
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(/.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)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.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 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 a b)) (cos.f64 (+.f64 b a)))))) |
(/.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 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) |
(/.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 a b)) (cos.f64 (+.f64 b a)))))) #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 a b)) (cos.f64 (+.f64 b a))))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) |
(/.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 a b)) (cos.f64 (+.f64 b a))))) #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 a b)) (cos.f64 (+.f64 b a)))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) #s(literal 1 binary64)) |
(/.f64 (-.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 (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)))) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 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)))) (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 (+.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 (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) b)))) (-.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) (-.f64 a b)))))) |
(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 4 900 to 748 computations (84.7% saved)
33 alts after pruning (33 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 222 | 33 | 255 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 223 | 33 | 256 |
| Status | Accuracy | Program |
|---|---|---|
| 75.7% | (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 75.9% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) | |
| 75.7% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 75.6% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) | |
| 75.8% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) | |
| 75.8% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| ▶ | 75.9% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
| 75.5% | (*.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))) | |
| ▶ | 75.6% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
| 75.8% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) | |
| 75.8% | (*.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r)) | |
| 75.3% | (*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))))) | |
| 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| ▶ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
| 98.6% | (*.f64 r (/.f64 (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))))))))) | |
| 75.8% | (*.f64 r (/.f64 (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)))))) | |
| 56.3% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (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))))) | |
| 56.3% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) | |
| ▶ | 53.3% | (*.f64 r (/.f64 (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))))) |
| 53.7% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))) | |
| 57.2% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))) | |
| 56.5% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) | |
| 58.9% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) | |
| 55.1% | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))) | |
| 55.0% | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (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)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))) | |
| 55.2% | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) | |
| 75.8% | (*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))) | |
| 75.8% | (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) | |
| 40.6% | (*.f64 r (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64)))) | |
| 55.5% | (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) | |
| 39.5% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) | |
| 56.5% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) | |
| ▶ | 55.6% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) |
Compiled 1 254 to 766 computations (38.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (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 | 0 | (*.f64 r (/.f64 (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 | (cos.f64 (+.f64 b a)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| cost-diff | 1088 | (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| cost-diff | 0 | (+.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 (cos.f64 a)) | |
| cost-diff | 0 | (*.f64 b (/.f64 r (cos.f64 a))) | |
| cost-diff | 0 | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) | |
| cost-diff | 0 | (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 320 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| cost-diff | 6016 | (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
| 4 728× | lower-fma.f32 |
| 4 724× | lower-fma.f64 |
| 2 680× | lower-*.f32 |
| 2 664× | lower-*.f64 |
| 2 424× | lower-/.f32 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 265 |
| 0 | 64 | 261 |
| 1 | 105 | 259 |
| 2 | 161 | 259 |
| 3 | 304 | 259 |
| 4 | 535 | 259 |
| 5 | 929 | 259 |
| 6 | 1573 | 255 |
| 7 | 2503 | 255 |
| 8 | 3488 | 255 |
| 9 | 4368 | 255 |
| 10 | 5468 | 255 |
| 11 | 6184 | 255 |
| 12 | 6360 | 255 |
| 13 | 6432 | 255 |
| 14 | 7078 | 255 |
| 15 | 7522 | 255 |
| 16 | 7864 | 255 |
| 17 | 7900 | 255 |
| 18 | 7924 | 255 |
| 19 | 7924 | 255 |
| 20 | 7924 | 255 |
| 21 | 7924 | 255 |
| 0 | 8847 | 255 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(cos.f64 b) |
(cos.f64 a) |
a |
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(sin.f64 a) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(*.f64 b (/.f64 r (cos.f64 a))) |
b |
(/.f64 r (cos.f64 a)) |
r |
(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 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) |
#s(literal 1 binary64) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
b |
a |
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
r |
(/.f64 #s(literal 1 binary64) (sin.f64 b)) |
(sin.f64 b) |
(*.f64 r (/.f64 (sin.f64 b) #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))))) |
r |
(/.f64 (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)))) |
(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 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))) |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(cos.f64 b) |
(cos.f64 a) |
a |
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(sin.f64 a) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (/.f64 b (cos.f64 a)))) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
b |
(/.f64 r (cos.f64 a)) |
r |
(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 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) |
#s(literal 1 binary64) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
b |
a |
(/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 r (sin.f64 b)) |
r |
(/.f64 #s(literal 1 binary64) (sin.f64 b)) |
(sin.f64 b) |
(*.f64 r (/.f64 (sin.f64 b) #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)))) |
r |
(/.f64 (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 (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)))) |
(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 | 0.10546875 | (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) | |
| accuracy | 0.16015625 | (*.f64 r (/.f64 (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 | 0.25228500976844204 | (/.f64 (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 | 35.1712833273219 | #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 | 0.1796875 | (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) | |
| accuracy | 0.234375 | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| accuracy | 0.2734375 | (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| accuracy | 15.412537947550877 | (cos.f64 (+.f64 b a)) | |
| accuracy | 0 | (sin.f64 b) | |
| accuracy | 0.16015625 | (/.f64 r (cos.f64 (+.f64 b a))) | |
| accuracy | 0.1640625 | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) | |
| accuracy | 15.412537947550877 | (cos.f64 (+.f64 b a)) | |
| accuracy | 0 | (cos.f64 a) | |
| accuracy | 0.07421875 | (*.f64 b (/.f64 r (cos.f64 a))) | |
| accuracy | 0.11328125 | (/.f64 r (cos.f64 a)) | |
| accuracy | 28.40294931109503 | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) | |
| accuracy | 0.12745842429718598 | (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| accuracy | 0.16015625 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| accuracy | 0.1953125 | (*.f64 (sin.f64 b) (sin.f64 a)) | |
| accuracy | 0.25228500976844204 | (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
| 125.0ms | 180× | 1 | valid |
| 20.0ms | 76× | 0 | valid |
Compiled 222 to 36 computations (83.8% saved)
ival-cos: 35.0ms (30.8% of total)ival-mult: 24.0ms (21.1% of total)ival-div: 18.0ms (15.8% of total)ival-sin: 15.0ms (13.2% of total)adjust: 10.0ms (8.8% of total)ival-add: 8.0ms (7% of total)ival-sub: 2.0ms (1.8% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))> |
#<alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))> |
#<alt (sin.f64 b)> |
#<alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))> |
#<alt #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))> |
#<alt (*.f64 b (/.f64 r (cos.f64 a)))> |
#<alt (/.f64 r (cos.f64 a))> |
#<alt (cos.f64 a)> |
#<alt (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))> |
#<alt (/.f64 r (cos.f64 (+.f64 b a)))> |
#<alt (cos.f64 (+.f64 b a))> |
#<alt (+.f64 b a)> |
#<alt (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))> |
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))> |
#<alt (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))> |
#<alt (*.f64 r (/.f64 (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)))))> |
#<alt (/.f64 (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))))> |
#<alt (*.f64 (sin.f64 b) (sin.f64 a))> |
#<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)))> |
#<alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))> |
| Outputs |
|---|
#<alt (/ b (cos a))> |
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))> |
#<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))))> |
#<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))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (cos b))> |
#<alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))> |
#<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)))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<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))))> |
#<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))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<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)))> |
#<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)))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt b> |
#<alt (* b (+ 1 (* -1/6 (pow b 2))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
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#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))> |
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))> |
#<alt (* -1/2 (* (pow a 2) (cos b)))> |
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))> |
#<alt (* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (sin b) a)))> |
#<alt (* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (sin b) a)))> |
#<alt (* -1/2 (* (pow a 2) (cos b)))> |
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b))))> |
#<alt (+ 1 (* -1/2 (pow a 2)))> |
#<alt (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2))))> |
#<alt (+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (* 1/4 (pow a 2)) 1/2))))))> |
#<alt (+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (+ (* 1/6 (* a b)) (* 1/4 (pow a 2))) 1/2))))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<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))))> |
#<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))))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<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)))> |
#<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)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ b (cos a))> |
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))> |
#<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))))> |
#<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))))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos b))> |
#<alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))> |
#<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)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt (* b (sin a))> |
#<alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))> |
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))> |
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))> |
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))> |
#<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))))))))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 a)> |
#<alt (+ (* -1/2 a) (* 1/4 (* a (pow b 2))))> |
#<alt (+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a))))> |
#<alt (+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2))))))))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
141 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | a | @ | 0 | (* (sin b) (sin a)) |
| 7.0ms | a | @ | 0 | (/ r (cos a)) |
| 4.0ms | b | @ | -inf | (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) |
| 2.0ms | b | @ | inf | (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) |
| 2.0ms | r | @ | 0 | (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) |
| 1× | egg-herbie |
| 8 560× | lower-fma.f64 |
| 8 560× | lower-fma.f32 |
| 7 918× | lower-*.f64 |
| 7 918× | lower-*.f32 |
| 2 120× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 507 | 7055 |
| 1 | 1623 | 6789 |
| 2 | 5374 | 6709 |
| 0 | 8500 | 6468 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (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 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 (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 |
(* 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) (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 (* 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))) |
(/ (* 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)))) |
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(/ (* r (sin b)) (cos b)) |
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(/ (* r (sin b)) (cos (+ a b))) |
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(/ (* r (sin b)) (cos (+ a b))) |
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(/ (* 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)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
r |
(+ r (* 1/2 (* (pow a 2) r))) |
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos 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 (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))) |
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(/ (* r (sin b)) (cos b)) |
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(/ (* r (sin b)) (cos (+ a b))) |
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(/ r (cos (+ a b))) |
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(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos b)) |
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(+ (* 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)) |
(* 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 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 (cos a)) |
(+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))) |
(+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))) |
(+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (- a (* -1 b)))) |
(/ 1 (cos (- a (* -1 b)))) |
(/ 1 (cos (- a (* -1 b)))) |
(/ 1 (cos (- a (* -1 b)))) |
(/ 1 (cos b)) |
(+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2))) |
(+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b))) |
(+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (- b (* -1 a)))) |
(/ 1 (cos (- b (* -1 a)))) |
(/ 1 (cos (- b (* -1 a)))) |
(/ 1 (cos (- b (* -1 a)))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
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(+ (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)))))) |
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(/ (* 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 (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 (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)) |
(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 |
|---|
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 b (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 b (*.f64 b (fma.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (fma.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (-.f64 (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (/.f64 (sin.f64 a) (cos.f64 a)))) (neg.f64 b) (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (*.f64 a (fma.f64 (sin.f64 b) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (cos.f64 b)) (*.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 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* 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 (sin.f64 a) r) (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 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)) (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (*.f64 (sin.f64 a) r) (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 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 (fma.f64 (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)) (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (neg.f64 (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (*.f64 (*.f64 (sin.f64 a) r) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (fma.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)) (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
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r |
(+ r (* 1/2 (* (pow a 2) r))) |
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(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r) |
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow a 2))) |
(fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
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(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 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) |
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(cos a) |
(cos.f64 a) |
(cos a) |
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
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(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
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(/ (* r (sin b)) (cos b)) |
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(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) 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))) |
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(/.f64 r (cos.f64 (+.f64 b a))) |
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(/.f64 r (cos.f64 (+.f64 b 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))) |
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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)) |
(/.f64 r (cos.f64 a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (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 (* -1 b)))) |
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(/ r (cos b)) |
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(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))) |
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(cos (+ a b)) |
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(cos (+ a b)) |
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(* -1 (* b (- (* -1 (/ a b)) 1))) |
(fma.f64 (neg.f64 b) (/.f64 a (neg.f64 b)) b) |
b |
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a |
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(fma.f64 a (/.f64 b a) a) |
(* a (+ 1 (/ b a))) |
(fma.f64 a (/.f64 b a) a) |
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(/ (* r (sin b)) (cos (+ a b))) |
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(/ (* r (sin b)) (cos (+ a b))) |
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(/ (* r (sin b)) (cos (+ a b))) |
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(/ (* r (sin b)) (cos (+ a b))) |
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(/ (* r (sin b)) (cos (+ a b))) |
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(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ 1 (cos a)) |
(/.f64 #s(literal 1 binary64) (cos.f64 a)) |
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(*.f64 (sin.f64 a) (sin.f64 b)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) |
(+ (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 a (fma.f64 a (*.f64 #s(literal 1/6 binary64) (sin.f64 b)) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (neg.f64 (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)) |
(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 (cos.f64 a) (*.f64 b #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 b (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.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)) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) |
(* -1/2 a) |
(*.f64 a #s(literal -1/2 binary64)) |
(+ (* -1/2 a) (* 1/4 (* a (pow b 2)))) |
(fma.f64 a (*.f64 (*.f64 b b) #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 b b) (fma.f64 b (*.f64 b (*.f64 a #s(literal -1/48 binary64))) (*.f64 a #s(literal 1/4 binary64))) (*.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 (*.f64 (*.f64 b b) #s(literal 1/1440 binary64)) (*.f64 a #s(literal -1/48 binary64))) (*.f64 a #s(literal 1/4 binary64))) (*.f64 a #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) |
| 4 162× | lower-fma.f32 |
| 4 158× | lower-fma.f64 |
| 4 150× | lower-/.f32 |
| 4 136× | lower-/.f64 |
| 3 858× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 204 |
| 0 | 64 | 179 |
| 1 | 224 | 177 |
| 2 | 1393 | 177 |
| 0 | 8454 | 177 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(sin.f64 b) |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(/.f64 r (cos.f64 a)) |
(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 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.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 r (/.f64 (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 (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 (sin.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)) (sin.f64 b))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (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))) (cos.f64 (+.f64 b a))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))) |
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #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) (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 #s(literal 2 binary64) a)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 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 #s(literal 2 binary64) a)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #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 #s(literal 2 binary64) a)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))))) |
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (/.f64 r (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (/.f64 r (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 r (neg.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)))) |
(/.f64 r (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))) |
(/.f64 r (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))))) |
(/.f64 r (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))))) |
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 b a)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (sin.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 r #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))) (neg.f64 r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b))) (neg.f64 r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (neg.f64 r)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) (neg.f64 r)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))) |
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) |
(/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 r) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (sin.f64 b)))) |
(/.f64 (neg.f64 r) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (neg.f64 r) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (neg.f64 r)) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 r #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)))) |
(/.f64 (neg.f64 (*.f64 r #s(literal -1 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64))) (cos.f64 (+.f64 b a))) |
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(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))) r) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))) (*.f64 (sin.f64 b) r)) |
(*.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))) |
(*.f64 (*.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))) |
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))) (sin.f64 b)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) (sin.f64 b))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))) (/.f64 (neg.f64 (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))) |
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #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 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) (sin.f64 b))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) (sin.f64 b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) (sin.f64 b)))) |
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #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 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(pow.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) (sin.f64 b)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) (sin.f64 b))))) |
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #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 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))) (sin.f64 b)) |
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) |
(+.f64 (*.f64 (cos.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(-.f64 (*.f64 (cos.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (*.f64 (cos.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (+.f64 (cos.f64 (-.f64 b a)) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 2 binary64)) (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 2 binary64)) (/.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 2 binary64))) |
(fma.f64 (cos.f64 (-.f64 b a)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64)))) |
(neg.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal -1 binary64)) |
(/.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) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal -2 binary64)) |
(/.f64 (neg.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 #s(literal 2 binary64) a)))))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (-.f64 (*.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 b a)))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 #s(literal 0 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 #s(literal 2 binary64) a))))) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (cos.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 b a)) #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 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 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(*.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))) |
(neg.f64 (neg.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))) |
(/.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)))) #s(literal -1 binary64)) |
#s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) |
(*.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))))) |
(*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) |
(*.f64 a (*.f64 (cos.f64 b) #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 41 284 to 3 240 computations (92.2% saved)
81 alts after pruning (79 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 766 | 72 | 1 838 |
| Fresh | 21 | 7 | 28 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 790 | 81 | 1 871 |
| Status | Accuracy | Program |
|---|---|---|
| 75.7% | (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 75.5% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) | |
| 75.9% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) | |
| 75.8% | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) | |
| 75.7% | (/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))) | |
| 75.7% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| ▶ | 75.4% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r))) |
| 75.6% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) | |
| 75.5% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 b a))))) | |
| 48.5% | (*.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 54.1% | (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 75.8% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a))) | |
| 99.5% | (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) | |
| 99.5% | (*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b)) | |
| 98.8% | (*.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 #s(literal 2 binary64) 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 #s(literal 2 binary64) a)))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))) (sin.f64 b)) | |
| 98.8% | (*.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 #s(literal 2 binary64) a))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 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 #s(literal 2 binary64) a))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) (sin.f64 b)) | |
| 75.8% | (*.f64 (/.f64 r (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) (sin.f64 b)) | |
| 75.8% | (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) | |
| 68.8% | (*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b)) | |
| 75.8% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| ▶ | 55.1% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #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))) |
| 55.2% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) | |
| 43.7% | (*.f64 (/.f64 r (cos.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (sin.f64 b)) | |
| 65.9% | (*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a)))) (sin.f64 b)) | |
| ▶ | 56.3% | (*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (sin.f64 b)) |
| 53.7% | (*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))) (sin.f64 b)) | |
| 57.2% | (*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (sin.f64 b)) | |
| 56.4% | (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)) | |
| 59.0% | (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) | |
| 99.2% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 98.5% | (*.f64 (/.f64 #s(literal 1 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 #s(literal 2 binary64) a))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 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 #s(literal 2 binary64) a))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 68.6% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 75.5% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))) | |
| 75.7% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) | |
| 75.8% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r)) | |
| 38.4% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))) | |
| 55.1% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal -1/6 binary64))) r)))) | |
| 55.5% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r))) | |
| 56.3% | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 58.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 75.8% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) | |
| 45.7% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) | |
| 75.3% | (*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))))) | |
| 27.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (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 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 0 binary64))) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| 27.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 #s(literal 0 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 #s(literal 2 binary64) a))))) #s(literal 0 binary64)))))))) | |
| ▶ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) |
| 86.0% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (neg.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 #s(literal 2 binary64) a)))))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))) | |
| ✓ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
| 59.0% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (sin.f64 a)))))) | |
| 59.0% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a)))))) | |
| 66.7% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 b (sin.f64 a))))))) | |
| 57.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| 98.8% | (*.f64 r (/.f64 (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 #s(literal 2 binary64) 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 #s(literal 2 binary64) a)))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) | |
| 53.7% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))))) | |
| 57.2% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))) | |
| 56.5% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)))) | |
| 58.9% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))) | |
| 30.9% | (*.f64 r (/.f64 (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 (*.f64 a 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))))))) | |
| 35.6% | (*.f64 r (/.f64 (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))))))) | |
| 36.1% | (*.f64 r (/.f64 (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)))))) | |
| 12.5% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (*.f64 a (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))))))) | |
| 53.6% | (*.f64 r (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1 binary64))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| 55.2% | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) | |
| 40.6% | (*.f64 r (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64)))) | |
| 55.5% | (*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a)))) | |
| 39.5% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) | |
| 56.5% | #s(approx (* (/ r (cos (+ b a))) (sin b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) | |
| 99.5% | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) | |
| 55.4% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r))) | |
| 55.1% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) | |
| 55.2% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) | |
| ✓ | 55.6% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) |
| 34.7% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #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)))))) | |
| 34.6% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) | |
| 34.6% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) | |
| 55.5% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))) | |
| 27.3% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r)))) | |
| 28.3% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r)))) | |
| 30.8% | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r)))) | |
| ▶ | 35.6% | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) |
Compiled 3 321 to 2 044 computations (38.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) | |
| cost-diff | 0 | (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) | |
| cost-diff | 0 | (*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (sin.f64 b)) | |
| cost-diff | 6080 | (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) | |
| cost-diff | 0 | (neg.f64 (cos.f64 (+.f64 b a))) | |
| cost-diff | 0 | (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) | |
| cost-diff | 640 | (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r))) | |
| 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))) #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))) | |
| cost-diff | 0 | (*.f64 b r) | |
| cost-diff | 0 | #s(approx (* b (/ r (cos a))) (*.f64 b r)) | |
| cost-diff | 0 | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) | |
| cost-diff | 1088 | (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
| 5 176× | lower-fma.f32 |
| 5 166× | lower-fma.f64 |
| 2 604× | lower-*.f32 |
| 2 584× | lower-*.f64 |
| 1 902× | lower--.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 389 |
| 0 | 94 | 377 |
| 1 | 163 | 367 |
| 2 | 311 | 365 |
| 3 | 743 | 365 |
| 4 | 1813 | 365 |
| 5 | 3311 | 365 |
| 6 | 5172 | 365 |
| 7 | 6519 | 365 |
| 8 | 7638 | 365 |
| 0 | 8389 | 365 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))) |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))))) |
(cos.f64 b) |
(cos.f64 a) |
a |
(neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(sin.f64 a) |
(/.f64 #s(literal 1 binary64) (sin.f64 b)) |
#s(literal 1 binary64) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) |
#s(approx (* b (/ r (cos a))) (*.f64 b r)) |
(*.f64 b r) |
b |
r |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #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))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
r |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
b |
a |
#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)) |
(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) |
(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 (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(*.f64 b #s(literal -1/5040 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r))) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r)) |
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(neg.f64 (cos.f64 (+.f64 b a))) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
b |
a |
(sin.f64 b) |
(neg.f64 r) |
r |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (sin.f64 b)) |
(/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) |
r |
#s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) |
(fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) |
b |
(-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) |
(*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) |
(cos.f64 a) |
a |
(*.f64 b #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(sin.f64 a) |
(sin.f64 b) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(cos.f64 b) |
(cos.f64 a) |
a |
(neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) |
(/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(sin.f64 a) |
(/.f64 #s(literal 1 binary64) (sin.f64 b)) |
#s(literal 1 binary64) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b))) |
#s(approx (* b (/ r (cos a))) (*.f64 b r)) |
#s(approx (* b (/ r (cos a))) (*.f64 r b)) |
(*.f64 b r) |
(*.f64 r b) |
b |
r |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #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))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 b a))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
r |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
b |
a |
#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)) |
#s(approx (sin b) (fma.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) 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) |
(fma.f64 (fma.f64 (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) |
(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)) |
(fma.f64 (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) |
(*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(*.f64 b #s(literal -1/5040 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r)) |
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) |
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) |
(neg.f64 (cos.f64 (+.f64 b a))) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
b |
a |
(sin.f64 b) |
(neg.f64 r) |
r |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (-.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 b (sin.f64 a))))) |
(/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) |
(/.f64 r #s(approx (cos (+ b a)) (-.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 b (sin.f64 a))))) |
r |
#s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) |
#s(approx (cos (+ b a)) (-.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 b (sin.f64 a)))) |
(fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) |
(-.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 b (sin.f64 a))) |
b |
(-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) |
(-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) |
(*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(cos.f64 a) |
a |
(*.f64 b #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(sin.f64 a) |
(sin.f64 b) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12109375 | (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) | |
| accuracy | 0.16015625 | (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) | |
| accuracy | 0.1640625 | (*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (sin.f64 b)) | |
| accuracy | 28.347181410288094 | #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) | |
| accuracy | 0.2265625 | (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) | |
| accuracy | 0.234375 | (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r)) | |
| accuracy | 0.40555047450390114 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r))) | |
| accuracy | 15.412537947550877 | (cos.f64 (+.f64 b a)) | |
| accuracy | 0.16015625 | (/.f64 r (cos.f64 (+.f64 b a))) | |
| accuracy | 0.1640625 | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #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))) | |
| accuracy | 15.412537947550877 | (cos.f64 (+.f64 b a)) | |
| accuracy | 28.385440917558604 | #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)) | |
| accuracy | 0 | (*.f64 b r) | |
| accuracy | 26.631943828152778 | #s(approx (* b (/ r (cos a))) (*.f64 b r)) | |
| accuracy | 28.40294931109503 | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) | |
| accuracy | 0.12745842429718598 | (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))))) | |
| accuracy | 0.16015625 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) | |
| accuracy | 0.240566259768442 | (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| accuracy | 0.25228500976844204 | (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))) |
| 230.0ms | 180× | 1 | valid |
| 51.0ms | 76× | 0 | valid |
Compiled 307 to 52 computations (83.1% saved)
ival-mult: 68.0ms (28.5% of total)ival-cos: 43.0ms (18% of total)ival-div: 41.0ms (17.2% of total)const: 31.0ms (13% of total)ival-sin: 20.0ms (8.4% of total)adjust: 15.0ms (6.3% of total)ival-add: 13.0ms (5.5% of total)ival-neg: 4.0ms (1.7% of total)ival-sub: 2.0ms (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 |
|---|
#<alt (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))> |
#<alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))))> |
#<alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))> |
#<alt (sin.f64 b)> |
#<alt #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r)))> |
#<alt #s(approx (* b (/ r (cos a))) (*.f64 b r))> |
#<alt (*.f64 b r)> |
#<alt (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #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)))> |
#<alt (/.f64 r (cos.f64 (+.f64 b a)))> |
#<alt (cos.f64 (+.f64 b a))> |
#<alt (+.f64 b a)> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r)))> |
#<alt (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r))> |
#<alt (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))> |
#<alt (neg.f64 (cos.f64 (+.f64 b a)))> |
#<alt (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))> |
#<alt (*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (sin.f64 b))> |
#<alt (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))> |
#<alt #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))> |
#<alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))> |
#<alt #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))> |
#<alt (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64)))> |
| Outputs |
|---|
#<alt (* a (sin b))> |
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))> |
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))> |
#<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))))))))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* b (sin a))> |
#<alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))> |
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))> |
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<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))))> |
#<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))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<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)))> |
#<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)))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ b (cos a))> |
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))> |
#<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))))> |
#<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))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (cos b))> |
#<alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))> |
#<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)))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt b> |
#<alt (* b (+ 1 (* -1/6 (pow b 2))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<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))))> |
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#<alt (- (* a (sin b)) (cos b))> |
#<alt (- (* a (+ (sin b) (* 1/2 (* a (cos b))))) (cos b))> |
#<alt (- (* a (+ (sin b) (* a (- (* -1/6 (* a (sin b))) (* -1/2 (cos b)))))) (cos b))> |
#<alt (* -1 (cos (+ a b)))> |
#<alt (* -1 (cos (+ a b)))> |
#<alt (* -1 (cos (+ a b)))> |
#<alt (* -1 (cos (+ a b)))> |
#<alt (* -1 (cos (- b (* -1 a))))> |
#<alt (* -1 (cos (- b (* -1 a))))> |
#<alt (* -1 (cos (- b (* -1 a))))> |
#<alt (* -1 (cos (- b (* -1 a))))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))> |
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))> |
#<alt (* -1/2 (* (pow b 2) (cos a)))> |
#<alt (* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))> |
#<alt (* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b)))> |
#<alt (* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b)))> |
#<alt (* -1/2 (* (pow b 2) (cos a)))> |
#<alt (* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))> |
#<alt (* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a))))> |
#<alt (* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a))))> |
#<alt (+ 1 (* -1/2 (pow b 2)))> |
#<alt (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow b 2))))> |
#<alt (+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (* 1/4 (pow b 2)) 1/2))))))> |
#<alt (+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (+ (* 1/6 (* a b)) (* 1/4 (pow b 2))) 1/2))))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<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))))> |
#<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))))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<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)))> |
#<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)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos a))> |
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))> |
#<alt (+ (* 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)))> |
#<alt (+ (* 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)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (- a (* -1 b))))> |
#<alt (/ r (cos (- a (* -1 b))))> |
#<alt (/ r (cos (- a (* -1 b))))> |
#<alt (/ r (cos (- a (* -1 b))))> |
#<alt (/ r (cos b))> |
#<alt (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))> |
#<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)))> |
#<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)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (- b (* -1 a))))> |
#<alt (/ r (cos (- b (* -1 a))))> |
#<alt (/ r (cos (- b (* -1 a))))> |
#<alt (/ r (cos (- b (* -1 a))))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt b> |
#<alt (* b (+ 1 (* -1/6 (pow b 2))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (* -1/2 b)> |
#<alt (+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))> |
#<alt (+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))> |
#<alt (+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
#<alt (* -1/2 (* b (cos a)))> |
153 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | b | @ | 0 | (/ (neg (cos (+ b a))) (sin b)) |
| 1.0ms | a | @ | inf | (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) |
| 1.0ms | a | @ | -inf | (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) |
| 1.0ms | b | @ | -inf | (/ (neg (cos (+ b a))) (sin b)) |
| 1.0ms | b | @ | inf | (/ (neg (cos (+ b a))) (sin b)) |
| 1× | egg-herbie |
| 8 170× | lower-fma.f64 |
| 8 170× | lower-fma.f32 |
| 7 558× | lower-*.f64 |
| 7 558× | lower-*.f32 |
| 2 080× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 525 | 7422 |
| 1 | 1681 | 7154 |
| 2 | 5304 | 7071 |
| 0 | 8337 | 6827 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)) |
(* 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)) |
(/ (* 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)))) |
(/ (* 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 (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 (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) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (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) |
(/ (* 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))) |
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))) |
(/ (* 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))) |
(/ (cos a) (* b r)) |
(/ (+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r)) b) |
(/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b) |
(/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (+ (* -1/2 (/ (cos a) r)) (* (pow b 2) (- (* 1/24 (/ (cos a) r)) (+ (* -1/6 (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (* 1/120 (/ (cos a) r)))))) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) 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) (* r (sin b))) |
(+ (* -1 (/ a r)) (/ (cos b) (* r (sin b)))) |
(+ (* a (- (* -1/2 (/ (* a (cos b)) (* r (sin b)))) (/ 1 r))) (/ (cos b) (* r (sin b)))) |
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (* r (sin b)))) (* 1/6 (/ a r)))) (/ 1 r))) (/ (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)) (* r (sin b))) |
(* -1 (/ (cos a) b)) |
(/ (+ (* -1 (cos a)) (* b (sin a))) b) |
(/ (+ (* -1 (cos a)) (* b (+ (sin a) (* -1 (* b (- (* -1/2 (cos a)) (* -1/6 (cos a)))))))) b) |
(/ (+ (* -1 (cos a)) (* b (+ (sin a) (* b (+ (* -1 (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1 (- (* -1/2 (cos a)) (* -1/6 (cos a))))))))) b) |
(* -1 (/ (cos (+ a b)) (sin b))) |
(* -1 (/ (cos (+ a b)) (sin b))) |
(* -1 (/ (cos (+ a b)) (sin b))) |
(* -1 (/ (cos (+ a b)) (sin b))) |
(* -1 (/ (cos (- a (* -1 b))) (sin b))) |
(* -1 (/ (cos (- a (* -1 b))) (sin b))) |
(* -1 (/ (cos (- a (* -1 b))) (sin b))) |
(* -1 (/ (cos (- a (* -1 b))) (sin b))) |
(* -1 (/ (cos b) (sin b))) |
(+ a (* -1 (/ (cos b) (sin b)))) |
(+ (* -1 (/ (cos b) (sin b))) (* a (+ 1 (* 1/2 (/ (* a (cos b)) (sin b)))))) |
(+ (* -1 (/ (cos b) (sin b))) (* a (+ 1 (* a (+ (* -1/6 a) (* 1/2 (/ (cos b) (sin b)))))))) |
(* -1 (/ (cos (+ a b)) (sin b))) |
(* -1 (/ (cos (+ a b)) (sin b))) |
(* -1 (/ (cos (+ a b)) (sin b))) |
(* -1 (/ (cos (+ a b)) (sin b))) |
(* -1 (/ (cos (- b (* -1 a))) (sin b))) |
(* -1 (/ (cos (- b (* -1 a))) (sin b))) |
(* -1 (/ (cos (- b (* -1 a))) (sin b))) |
(* -1 (/ (cos (- b (* -1 a))) (sin b))) |
(* -1 (cos a)) |
(- (* b (sin a)) (cos a)) |
(- (* b (+ (sin a) (* 1/2 (* b (cos a))))) (cos a)) |
(- (* b (+ (sin a) (* b (- (* -1/6 (* b (sin a))) (* -1/2 (cos a)))))) (cos a)) |
(* -1 (cos (+ a b))) |
(* -1 (cos (+ a b))) |
(* -1 (cos (+ a b))) |
(* -1 (cos (+ a b))) |
(* -1 (cos (- a (* -1 b)))) |
(* -1 (cos (- a (* -1 b)))) |
(* -1 (cos (- a (* -1 b)))) |
(* -1 (cos (- a (* -1 b)))) |
(* -1 (cos b)) |
(- (* a (sin b)) (cos b)) |
(- (* a (+ (sin b) (* 1/2 (* a (cos b))))) (cos b)) |
(- (* a (+ (sin b) (* a (- (* -1/6 (* a (sin b))) (* -1/2 (cos b)))))) (cos b)) |
(* -1 (cos (+ a b))) |
(* -1 (cos (+ a b))) |
(* -1 (cos (+ a b))) |
(* -1 (cos (+ a b))) |
(* -1 (cos (- b (* -1 a)))) |
(* -1 (cos (- b (* -1 a)))) |
(* -1 (cos (- b (* -1 a)))) |
(* -1 (cos (- b (* -1 a)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(* -1/2 (* (pow b 2) (cos a))) |
(* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a)))) |
(* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b))) |
(* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b))) |
(* -1/2 (* (pow b 2) (cos a))) |
(* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a)))) |
(* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a)))) |
(* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a)))) |
(+ 1 (* -1/2 (pow b 2))) |
(+ 1 (+ (* -1 (* a b)) (* -1/2 (pow b 2)))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (* 1/4 (pow b 2)) 1/2)))))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (+ (* 1/6 (* a b)) (* 1/4 (pow b 2))) 1/2)))))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* 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))) |
(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 (* 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))) |
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) |
(* -1/2 b) |
(+ (* -1/2 b) (* 1/4 (* (pow a 2) b))) |
(+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b)))) |
(+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b))))))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
(* -1/2 (* b (cos a))) |
| Outputs |
|---|
(* a (sin b)) |
(*.f64 a (sin.f64 b)) |
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) |
(*.f64 a (*.f64 (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 b))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))) |
(*.f64 a (fma.f64 (*.f64 a a) (*.f64 (sin.f64 b) (fma.f64 (*.f64 a a) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (sin.f64 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)))))))) |
(*.f64 a (fma.f64 (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 b) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 (sin.f64 b) (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))))) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* b (sin a)) |
(*.f64 b (sin.f64 a)) |
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))) |
(*.f64 b (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) (sin.f64 a))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))) |
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (sin.f64 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)))))))) |
(*.f64 b (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) (sin.f64 a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))))) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* 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 (sin.f64 a) (/.f64 r (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 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (fma.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) (/.f64 r (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 (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (fma.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 b (-.f64 (*.f64 r (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 (sin.f64 a) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (fma.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))))) (cos.f64 a)))))) (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 r (cos.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 (sin.f64 b) 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 a (*.f64 r (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 a (fma.f64 (sin.f64 b) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b))) (*.f64 r (pow.f64 (/.f64 (sin.f64 b) (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 (sin.f64 b) r) (cos.f64 b))) |
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b |
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b |
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(* -1 (* b (- (* -1 (/ a b)) 1))) |
(fma.f64 (neg.f64 b) (/.f64 a (neg.f64 b)) b) |
b |
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a |
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(+ (* 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 a (fma.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 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 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 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 r) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (cos.f64 b))) (fma.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 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 r (cos.f64 b))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
(/ r (cos (- b (* -1 a)))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
(/ r (cos (- b (* -1 a)))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
(/ r (cos (- b (* -1 a)))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
(/ r (cos (- b (* -1 a)))) |
(/.f64 r (cos.f64 (+.f64 a b))) |
(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 b (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 a))) (cos.f64 a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 a b)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (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 a (fma.f64 (*.f64 a (sin.f64 b)) #s(literal 1/6 binary64) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 b))) (cos.f64 b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 a b)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 a b)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 a b)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 a b)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 a b)) |
(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 b (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 a))) (cos.f64 a)) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (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 a (fma.f64 (*.f64 a (sin.f64 b)) #s(literal 1/6 binary64) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 b))) (cos.f64 b)) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
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) |
(* -1/2 b) |
(*.f64 b #s(literal -1/2 binary64)) |
(+ (* -1/2 b) (* 1/4 (* (pow a 2) b))) |
(*.f64 b (fma.f64 (*.f64 a a) #s(literal 1/4 binary64) #s(literal -1/2 binary64))) |
(+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b)))) |
(fma.f64 a (*.f64 a (*.f64 b (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)))) (*.f64 b #s(literal -1/2 binary64))) |
(+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b))))))) |
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 b (fma.f64 (*.f64 a a) #s(literal 1/1440 binary64) #s(literal -1/48 binary64))) (*.f64 b #s(literal 1/4 binary64))) (*.f64 b #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
(* -1/2 (* b (cos a))) |
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) |
| 4 720× | lower-*.f32 |
| 4 700× | lower-*.f64 |
| 4 484× | lower-/.f32 |
| 4 468× | lower-/.f64 |
| 2 548× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 268 |
| 0 | 94 | 260 |
| 1 | 327 | 229 |
| 2 | 2168 | 229 |
| 0 | 8515 | 229 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b)))))) |
(sin.f64 b) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) |
#s(approx (* b (/ r (cos a))) (*.f64 b r)) |
(*.f64 b r) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #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))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r))) |
(/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r)) |
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(neg.f64 (cos.f64 (+.f64 b a))) |
(fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) (sin.f64 b)) |
(/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) |
#s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))))) |
#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)) |
(*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))) |
(-.f64 (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64))) |
(neg.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))) |
(/.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 a) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))))) |
(/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (sin.f64 a)) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 a)))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))) |
(*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b))) |
(*.f64 (neg.f64 (sin.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #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 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (*.f64 (sin.f64 b) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(neg.f64 (*.f64 (sin.f64 b) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (neg.f64 (/.f64 #s(literal -1 binary64) r))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (neg.f64 r) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) |
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(/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (fma.f64 a (-.f64 a b) (*.f64 b b))) |
(/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (-.f64 a b)) |
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(neg.f64 (*.f64 (sin.f64 b) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) |
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) |
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(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 b)) r)) (cos.f64 (+.f64 a b))) |
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(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))) |
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(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 b) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(literal 1 binary64))) |
(*.f64 (sin.f64 b) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 r (/.f64 (sin.f64 b) (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))) (/.f64 r #s(literal 1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
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(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (sin.f64 a))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (*.f64 #s(literal -2 binary64) (sin.f64 a))) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal 1 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a)))) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b))))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (*.f64 #s(literal -2 binary64) (neg.f64 (sin.f64 a)))) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(/.f64 (-.f64 (*.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 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (*.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (sin.f64 a))))) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a 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 (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)))))) |
(/.f64 (neg.f64 (fma.f64 (sin.f64 a) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a)))))) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (sin.f64 a)) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a)))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)) (*.f64 #s(literal 2 binary64) (sin.f64 a)))) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 a))))) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (*.f64 #s(literal 2 binary64) (sin.f64 a)))) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))) #s(literal 2 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (*.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 a))))) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (-.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))))) (neg.f64 (neg.f64 (cos.f64 (-.f64 b a))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (neg.f64 (-.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (-.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (-.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))))) |
(*.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) |
#s(approx (sin b) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 b (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) |
(*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) |
(*.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a)) |
(*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) |
Compiled 48 566 to 4 286 computations (91.2% saved)
86 alts after pruning (82 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 846 | 27 | 1 873 |
| Fresh | 19 | 55 | 74 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 868 | 86 | 1 954 |
| Status | Accuracy | Program |
|---|---|---|
| 75.7% | (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 75.5% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) | |
| 75.9% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) | |
| 75.8% | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) | |
| 75.7% | (/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))) | |
| 75.7% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 99.1% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) (neg.f64 r))) | |
| 74.9% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.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 0 binary64) (cos.f64 (+.f64 a b)))) (sin.f64 b)) (neg.f64 r))) | |
| 99.1% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) (neg.f64 r))) | |
| 54.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) #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))) (neg.f64 r))) | |
| 56.2% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)) (neg.f64 r))) | |
| 58.6% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) (neg.f64 r))) | |
| 75.4% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r)) | |
| 53.5% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (neg (cos (+ b a))) (-.f64 (*.f64 a (sin.f64 b)) (cos.f64 b))) (sin.f64 b)) (neg.f64 r))) | |
| 75.5% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) r)) (sin.f64 b))) | |
| 75.6% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) | |
| 56.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (/.f64 (-.f64 (*.f64 b (fma.f64 (*.f64 b (cos.f64 a)) #s(literal 1/3 binary64) (sin.f64 a))) (cos.f64 a)) b)) (neg.f64 r))) | |
| 59.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b)) (neg.f64 r))) | |
| ▶ | 53.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r))) |
| 91.3% | (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) r)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 b) r)))) | |
| 58.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (-.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 b (sin.f64 a)) r)) b))) | |
| 55.2% | (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (cos.f64 a) (*.f64 b r)))) | |
| 75.5% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 b a))))) | |
| 54.1% | (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 99.5% | (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) | |
| ▶ | 99.5% | (*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b)) |
| 98.8% | (*.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 #s(literal 2 binary64) 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 #s(literal 2 binary64) a)))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))) (sin.f64 b)) | |
| 98.8% | (*.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 #s(literal 2 binary64) a))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 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 #s(literal 2 binary64) a))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) (sin.f64 b)) | |
| 75.8% | (*.f64 (/.f64 r (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) (sin.f64 b)) | |
| 55.0% | (*.f64 (/.f64 r (*.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) #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))) | |
| 75.8% | (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) | |
| 68.8% | (*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b)) | |
| 75.8% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 55.2% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) | |
| 43.7% | (*.f64 (/.f64 r (cos.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (sin.f64 b)) | |
| 65.9% | (*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a)))) (sin.f64 b)) | |
| 55.5% | (*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) | |
| 54.8% | (*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #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))) | |
| 56.4% | (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)) | |
| 34.9% | (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #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))) | |
| 59.0% | (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) | |
| 35.8% | (*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b)) | |
| 99.2% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 98.5% | (*.f64 (/.f64 #s(literal 1 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 #s(literal 2 binary64) a))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 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 #s(literal 2 binary64) a))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 75.5% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))) | |
| 75.7% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) | |
| 75.8% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r)) | |
| 38.4% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))) | |
| 55.1% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal -1/6 binary64))) r)))) | |
| 55.5% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r))) | |
| 56.3% | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 58.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 75.8% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) | |
| ▶ | 45.7% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) |
| 27.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (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 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 0 binary64))) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| 27.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 #s(literal 0 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 #s(literal 2 binary64) a))))) #s(literal 0 binary64)))))))) | |
| ✓ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) |
| 86.0% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (neg.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 #s(literal 2 binary64) a)))))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))) | |
| ✓ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
| 59.0% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (sin.f64 a)))))) | |
| 59.0% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a)))))) | |
| 57.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| 98.8% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))) | |
| 57.2% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))) | |
| 56.5% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 b)))) | |
| ▶ | 58.9% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))) |
| 35.6% | (*.f64 r (/.f64 (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))))))) | |
| 36.1% | (*.f64 r (/.f64 (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)))))) | |
| 12.5% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (*.f64 a (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))))))) | |
| 40.6% | (*.f64 r (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64)))) | |
| 55.5% | (*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a)))) | |
| 39.5% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) | |
| 56.5% | #s(approx (/ 1 (/ (/ (neg (cos (+ b a))) (sin b)) (neg r))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) | |
| 99.5% | #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) | |
| 55.4% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r))) | |
| 55.1% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) | |
| ✓ | 55.6% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) |
| 34.7% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #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)))))) | |
| 34.6% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) | |
| 34.6% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) | |
| 55.5% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))) | |
| 27.3% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r)))) | |
| 28.3% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r)))) | |
| ▶ | 30.8% | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) |
| ✓ | 35.6% | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) |
Compiled 3 558 to 2 214 computations (37.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) | |
| cost-diff | 0 | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) | |
| cost-diff | 192 | (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64)) | |
| cost-diff | 12928 | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b))) | |
| cost-diff | 0 | #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r))) | |
| cost-diff | 0 | #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))) | |
| cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)) | |
| cost-diff | 0 | #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))) | |
| cost-diff | 0 | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) | |
| cost-diff | 0 | (cos.f64 b) | |
| cost-diff | 0 | (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| cost-diff | 0 | (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| cost-diff | 6336 | (*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b)) |
| 10 944× | lower-fma.f32 |
| 10 940× | lower-fma.f64 |
| 3 266× | lower-*.f32 |
| 3 250× | lower-*.f64 |
| 1 528× | lower-+.f32 |
Useful iterations: 9 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 335 |
| 0 | 87 | 326 |
| 1 | 144 | 319 |
| 2 | 233 | 317 |
| 3 | 391 | 315 |
| 4 | 649 | 315 |
| 5 | 1197 | 315 |
| 6 | 1769 | 315 |
| 7 | 2421 | 315 |
| 8 | 3684 | 315 |
| 9 | 4954 | 312 |
| 10 | 5710 | 312 |
| 11 | 6590 | 312 |
| 12 | 6955 | 312 |
| 13 | 7060 | 312 |
| 14 | 7103 | 312 |
| 15 | 7554 | 312 |
| 16 | 7744 | 312 |
| 17 | 7830 | 312 |
| 18 | 7892 | 312 |
| 19 | 7918 | 312 |
| 20 | 7948 | 312 |
| 21 | 7952 | 312 |
| 22 | 7952 | 312 |
| 0 | 8415 | 312 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b)) |
(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
r |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(cos.f64 b) |
b |
(cos.f64 a) |
a |
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(sin.f64 b) |
(sin.f64 a) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)) |
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 a a) |
a |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 b r) |
b |
r |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))) |
r |
(/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))) |
(sin.f64 b) |
b |
#s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)) |
(cos.f64 a) |
a |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r))) |
#s(literal 1 binary64) |
(/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r)) |
#s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) |
(-.f64 a (/.f64 (cos.f64 b) (sin.f64 b))) |
a |
(/.f64 (cos.f64 b) (sin.f64 b)) |
(cos.f64 b) |
b |
(sin.f64 b) |
(neg.f64 r) |
r |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64)) |
(log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
b |
a |
r |
#s(literal -1 binary64) |
(sin.f64 b) |
| Outputs |
|---|
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b)) |
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))) |
(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
r |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(cos.f64 b) |
b |
(cos.f64 a) |
a |
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(sin.f64 b) |
(sin.f64 a) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))) |
#s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 r b))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)) |
(*.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 r b)) |
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 a (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 a a) |
a |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 b r) |
(*.f64 r b) |
b |
r |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))) |
r |
(/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))) |
(sin.f64 b) |
b |
#s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)) |
(cos.f64 a) |
a |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r))) |
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b))))) |
#s(literal 1 binary64) |
(/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r)) |
#s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) |
(-.f64 a (/.f64 (cos.f64 b) (sin.f64 b))) |
a |
(/.f64 (cos.f64 b) (sin.f64 b)) |
(cos.f64 b) |
b |
(sin.f64 b) |
(neg.f64 r) |
r |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64)) |
(neg.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) |
(log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
b |
a |
r |
#s(literal -1 binary64) |
(sin.f64 b) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.046875 | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) | |
| accuracy | 0.0859375 | (/.f64 (cos.f64 (+.f64 b a)) r) | |
| accuracy | 3.329884685077377 | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) | |
| accuracy | 6.094851119167985 | (cos.f64 (+.f64 b a)) | |
| accuracy | 0.08203125 | (/.f64 (cos.f64 b) (sin.f64 b)) | |
| accuracy | 0.12890625 | (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r)) | |
| accuracy | 0.18846730811030743 | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r))) | |
| accuracy | 14.450387221679877 | #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) | |
| accuracy | 0 | (cos.f64 a) | |
| accuracy | 0.05859375 | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))) | |
| accuracy | 0.0859375 | (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))) | |
| accuracy | 11.207760951019875 | #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)) | |
| accuracy | 0 | (*.f64 a a) | |
| accuracy | 3.106439089657566 | (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)) | |
| accuracy | 12.670102120219271 | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) | |
| accuracy | 14.099674562104331 | #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))) | |
| accuracy | 0.046875 | (*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b)) | |
| accuracy | 0.05095466452874396 | (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| accuracy | 0.06640625 | (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| accuracy | 0.07421875 | (*.f64 (sin.f64 b) (sin.f64 a)) |
| 104.0ms | 96× | 1 | invalid |
| 83.0ms | 77× | 1 | valid |
| 38.0ms | 72× | 0 | valid |
| 6.0ms | 11× | 0 | invalid |
Compiled 280 to 49 computations (82.5% saved)
ival-mult: 55.0ms (28.9% of total)ival-cos: 38.0ms (20% of total)adjust: 27.0ms (14.2% of total)ival-div: 26.0ms (13.7% of total)ival-sin: 16.0ms (8.4% of total)ival-add: 9.0ms (4.7% of total)ival-neg: 6.0ms (3.2% of total)ival-log: 5.0ms (2.6% of total)ival-exp: 4.0ms (2.1% of total)ival-sub: 2.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b))> |
#<alt (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))> |
#<alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))> |
#<alt (cos.f64 b)> |
#<alt #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))))> |
#<alt #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))> |
#<alt (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))> |
#<alt (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64))> |
#<alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))))> |
#<alt (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))> |
#<alt (sin.f64 b)> |
#<alt #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r)))> |
#<alt (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r))> |
#<alt #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b))))> |
#<alt (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))> |
#<alt (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64)))> |
#<alt (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))> |
#<alt (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b))> |
#<alt (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))> |
#<alt (*.f64 (sin.f64 b) (sin.f64 a))> |
#<alt (*.f64 a a)> |
#<alt (cos.f64 a)> |
#<alt (/.f64 (cos.f64 b) (sin.f64 b))> |
#<alt (cos.f64 (+.f64 b a))> |
#<alt (/.f64 (cos.f64 (+.f64 b a)) r)> |
| Outputs |
|---|
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<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))))> |
#<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))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<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)))> |
#<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)))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (cos a))> |
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))> |
#<alt (+ (* 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)))> |
#<alt (+ (* 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)))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (cos b))> |
#<alt (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))> |
#<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)))> |
#<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)))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow b 2)))> |
#<alt (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))> |
#<alt (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<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))))> |
#<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))))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<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)))> |
#<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)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
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#<alt (sin b)> |
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#<alt (- a (/ (cos b) (sin b)))> |
#<alt (- a (/ (cos b) (sin b)))> |
#<alt (- a (/ (cos b) (sin b)))> |
#<alt a> |
#<alt (* a (+ 1 (* -1 (/ (cos b) (* a (sin b))))))> |
#<alt (* a (+ 1 (* -1 (/ (cos b) (* a (sin b))))))> |
#<alt (* a (+ 1 (* -1 (/ (cos b) (* a (sin b))))))> |
#<alt a> |
#<alt (* -1 (* a (- (/ (cos b) (* a (sin b))) 1)))> |
#<alt (* -1 (* a (- (/ (cos b) (* a (sin b))) 1)))> |
#<alt (* -1 (* a (- (/ (cos b) (* a (sin b))) 1)))> |
#<alt (/ -1 b)> |
#<alt (/ (- (* a b) 1) b)> |
#<alt (/ (- (* b (+ a (* 1/3 b))) 1) b)> |
#<alt (/ (- (* b (+ a (* b (+ 1/3 (* 1/45 (pow b 2)))))) 1) b)> |
#<alt (- a (/ (cos b) (sin b)))> |
#<alt (- a (/ (cos b) (sin b)))> |
#<alt (- a (/ (cos b) (sin b)))> |
#<alt (- a (/ (cos b) (sin b)))> |
#<alt (- a (/ (cos b) (sin b)))> |
#<alt (- a (/ (cos b) (sin b)))> |
#<alt (- a (/ (cos b) (sin b)))> |
#<alt (- a (/ (cos b) (sin b)))> |
#<alt (/ r (cos a))> |
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))> |
#<alt (+ (* 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)))> |
#<alt (+ (* 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)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (- a (* -1 b))))> |
#<alt (/ r (cos (- a (* -1 b))))> |
#<alt (/ r (cos (- a (* -1 b))))> |
#<alt (/ r (cos (- a (* -1 b))))> |
#<alt (/ r (cos b))> |
#<alt (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))> |
#<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)))> |
#<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)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (- b (* -1 a))))> |
#<alt (/ r (cos (- b (* -1 a))))> |
#<alt (/ r (cos (- b (* -1 a))))> |
#<alt (/ r (cos (- b (* -1 a))))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (* -1 (log (/ (cos a) r)))> |
#<alt (+ (* -1 (log (/ (cos a) r))) (/ (* b (sin a)) (cos a)))> |
#<alt (+ (* -1 (log (/ (cos a) r))) (* b (+ (* -1/2 (* b (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1))) (/ (sin a) (cos a)))))> |
#<alt (+ (* -1 (log (/ (cos a) r))) (* b (+ (* b (+ (* -1/2 (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1)) (* -1/6 (* b (+ (* -3 (/ (sin a) (cos a))) (+ (* -2 (/ (pow (sin a) 3) (pow (cos a) 3))) (/ (sin a) (cos a)))))))) (/ (sin a) (cos a)))))> |
#<alt (* -1 (log (/ (cos (+ a b)) r)))> |
#<alt (* -1 (log (/ (cos (+ a b)) r)))> |
#<alt (* -1 (log (/ (cos (+ a b)) r)))> |
#<alt (* -1 (log (/ (cos (+ a b)) r)))> |
#<alt (* -1 (log (/ (cos (- a (* -1 b))) r)))> |
#<alt (* -1 (log (/ (cos (- a (* -1 b))) r)))> |
#<alt (* -1 (log (/ (cos (- a (* -1 b))) r)))> |
#<alt (* -1 (log (/ (cos (- a (* -1 b))) r)))> |
#<alt (* -1 (log (/ (cos b) r)))> |
#<alt (+ (* -1 (log (/ (cos b) r))) (/ (* a (sin b)) (cos b)))> |
#<alt (+ (* -1 (log (/ (cos b) r))) (* a (+ (* -1/2 (* a (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1))) (/ (sin b) (cos b)))))> |
#<alt (+ (* -1 (log (/ (cos b) r))) (* a (+ (* a (+ (* -1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)) (* -1/6 (* a (+ (* -3 (/ (sin b) (cos b))) (+ (* -2 (/ (pow (sin b) 3) (pow (cos b) 3))) (/ (sin b) (cos b)))))))) (/ (sin b) (cos b)))))> |
#<alt (* -1 (log (/ (cos (+ a b)) r)))> |
#<alt (* -1 (log (/ (cos (+ a b)) r)))> |
#<alt (* -1 (log (/ (cos (+ a b)) r)))> |
#<alt (* -1 (log (/ (cos (+ a b)) r)))> |
#<alt (* -1 (log (/ (cos (- b (* -1 a))) r)))> |
#<alt (* -1 (log (/ (cos (- b (* -1 a))) r)))> |
#<alt (* -1 (log (/ (cos (- b (* -1 a))) r)))> |
#<alt (* -1 (log (/ (cos (- b (* -1 a))) r)))> |
#<alt (* -1 (+ (log (cos (+ a b))) (* -1 (log r))))> |
#<alt (* -1 (+ (log (cos (+ a b))) (* -1 (log r))))> |
#<alt (* -1 (+ (log (cos (+ a b))) (* -1 (log r))))> |
#<alt (* -1 (+ (log (cos (+ a b))) (* -1 (log r))))> |
#<alt (* -1 (+ (log (cos (+ a b))) (log (/ 1 r))))> |
#<alt (* -1 (+ (log (cos (+ a b))) (log (/ 1 r))))> |
#<alt (* -1 (+ (log (cos (+ a b))) (log (/ 1 r))))> |
#<alt (* -1 (+ (log (cos (+ a b))) (log (/ 1 r))))> |
#<alt (* -1 (+ (log (* -1 (cos (+ a b)))) (log (/ -1 r))))> |
#<alt (* -1 (+ (log (* -1 (cos (+ a b)))) (log (/ -1 r))))> |
#<alt (* -1 (+ (log (* -1 (cos (+ a b)))) (log (/ -1 r))))> |
#<alt (* -1 (+ (log (* -1 (cos (+ a b)))) (log (/ -1 r))))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<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))))> |
#<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))))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<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)))> |
#<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)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (log (/ (cos a) r))> |
#<alt (+ (log (/ (cos a) r)) (* -1 (/ (* b (sin a)) (cos a))))> |
#<alt (+ (log (/ (cos a) r)) (* b (+ (* -1 (/ (sin a) (cos a))) (* 1/2 (* b (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1))))))> |
#<alt (+ (log (/ (cos a) r)) (* b (+ (* -1 (/ (sin a) (cos a))) (* b (+ (* 1/6 (* b (+ (* -3 (/ (sin a) (cos a))) (+ (* -2 (/ (pow (sin a) 3) (pow (cos a) 3))) (/ (sin a) (cos a)))))) (* 1/2 (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1)))))))> |
#<alt (log (/ (cos (+ a b)) r))> |
#<alt (log (/ (cos (+ a b)) r))> |
#<alt (log (/ (cos (+ a b)) r))> |
#<alt (log (/ (cos (+ a b)) r))> |
#<alt (log (/ (cos (- a (* -1 b))) r))> |
#<alt (log (/ (cos (- a (* -1 b))) r))> |
#<alt (log (/ (cos (- a (* -1 b))) r))> |
#<alt (log (/ (cos (- a (* -1 b))) r))> |
#<alt (log (/ (cos b) r))> |
#<alt (+ (log (/ (cos b) r)) (* -1 (/ (* a (sin b)) (cos b))))> |
#<alt (+ (log (/ (cos b) r)) (* a (+ (* -1 (/ (sin b) (cos b))) (* 1/2 (* a (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1))))))> |
#<alt (+ (log (/ (cos b) r)) (* a (+ (* -1 (/ (sin b) (cos b))) (* a (+ (* 1/6 (* a (+ (* -3 (/ (sin b) (cos b))) (+ (* -2 (/ (pow (sin b) 3) (pow (cos b) 3))) (/ (sin b) (cos b)))))) (* 1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)))))))> |
#<alt (log (/ (cos (+ a b)) r))> |
#<alt (log (/ (cos (+ a b)) r))> |
#<alt (log (/ (cos (+ a b)) r))> |
#<alt (log (/ (cos (+ a b)) r))> |
#<alt (log (/ (cos (- b (* -1 a))) r))> |
#<alt (log (/ (cos (- b (* -1 a))) r))> |
#<alt (log (/ (cos (- b (* -1 a))) r))> |
#<alt (log (/ (cos (- b (* -1 a))) r))> |
#<alt (+ (log (cos (+ a b))) (* -1 (log r)))> |
#<alt (+ (log (cos (+ a b))) (* -1 (log r)))> |
#<alt (+ (log (cos (+ a b))) (* -1 (log r)))> |
#<alt (+ (log (cos (+ a b))) (* -1 (log r)))> |
#<alt (+ (log (cos (+ a b))) (log (/ 1 r)))> |
#<alt (+ (log (cos (+ a b))) (log (/ 1 r)))> |
#<alt (+ (log (cos (+ a b))) (log (/ 1 r)))> |
#<alt (+ (log (cos (+ a b))) (log (/ 1 r)))> |
#<alt (+ (log (* -1 (cos (+ a b)))) (log (/ -1 r)))> |
#<alt (+ (log (* -1 (cos (+ a b)))) (log (/ -1 r)))> |
#<alt (+ (log (* -1 (cos (+ a b)))) (log (/ -1 r)))> |
#<alt (+ (log (* -1 (cos (+ a b)))) (log (/ -1 r)))> |
#<alt (* b (sin a))> |
#<alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))> |
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))> |
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))> |
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))> |
#<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))))))))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow a 2)))> |
#<alt (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))> |
#<alt (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (/ 1 b)> |
#<alt (/ (+ 1 (* -1/3 (pow b 2))) b)> |
#<alt (/ (+ 1 (* (pow b 2) (- (* -1/45 (pow b 2)) 1/3))) b)> |
#<alt (/ (+ 1 (* (pow b 2) (- (* (pow b 2) (- (* -2/945 (pow b 2)) 1/45)) 1/3))) b)> |
#<alt (/ (cos b) (sin b))> |
#<alt (/ (cos b) (sin b))> |
#<alt (/ (cos b) (sin b))> |
#<alt (/ (cos b) (sin b))> |
#<alt (/ (cos b) (sin b))> |
#<alt (/ (cos b) (sin b))> |
#<alt (/ (cos b) (sin b))> |
#<alt (/ (cos b) (sin b))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (/ (cos a) r)> |
#<alt (+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r))> |
#<alt (+ (* b (+ (* -1 (/ (sin a) r)) (* -1/2 (/ (* b (cos a)) r)))) (/ (cos a) r))> |
#<alt (+ (* b (+ (* -1 (/ (sin a) r)) (* b (+ (* -1/2 (/ (cos a) r)) (* 1/6 (/ (* b (sin a)) r)))))) (/ (cos a) r))> |
#<alt (/ (cos (+ a b)) r)> |
#<alt (/ (cos (+ a b)) r)> |
#<alt (/ (cos (+ a b)) r)> |
#<alt (/ (cos (+ a b)) r)> |
#<alt (/ (cos (- a (* -1 b))) r)> |
#<alt (/ (cos (- a (* -1 b))) r)> |
#<alt (/ (cos (- a (* -1 b))) r)> |
#<alt (/ (cos (- a (* -1 b))) r)> |
#<alt (/ (cos b) r)> |
#<alt (+ (* -1 (/ (* a (sin b)) r)) (/ (cos b) r))> |
#<alt (+ (* a (+ (* -1 (/ (sin b) r)) (* -1/2 (/ (* a (cos b)) r)))) (/ (cos b) r))> |
#<alt (+ (* a (+ (* -1 (/ (sin b) r)) (* a (+ (* -1/2 (/ (cos b) r)) (* 1/6 (/ (* a (sin b)) r)))))) (/ (cos b) r))> |
#<alt (/ (cos (+ a b)) r)> |
#<alt (/ (cos (+ a b)) r)> |
#<alt (/ (cos (+ a b)) r)> |
#<alt (/ (cos (+ a b)) r)> |
#<alt (/ (cos (- b (* -1 a))) r)> |
#<alt (/ (cos (- b (* -1 a))) r)> |
#<alt (/ (cos (- b (* -1 a))) r)> |
#<alt (/ (cos (- b (* -1 a))) r)> |
#<alt (/ (cos (+ a b)) r)> |
#<alt (/ (cos (+ a b)) r)> |
#<alt (/ (cos (+ a b)) r)> |
#<alt (/ (cos (+ a b)) r)> |
#<alt (/ (cos (+ a b)) r)> |
#<alt (/ (cos (+ a b)) r)> |
#<alt (/ (cos (+ a b)) r)> |
#<alt (/ (cos (+ a b)) r)> |
#<alt (/ (cos (+ a b)) r)> |
#<alt (/ (cos (+ a b)) r)> |
#<alt (/ (cos (+ a b)) r)> |
#<alt (/ (cos (+ a b)) r)> |
177 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 97.0ms | a | @ | inf | (* (log (/ (cos (+ b a)) r)) -1) |
| 86.0ms | b | @ | -inf | (* (log (/ (cos (+ b a)) r)) -1) |
| 82.0ms | b | @ | inf | (* (log (/ (cos (+ b a)) r)) -1) |
| 36.0ms | a | @ | -inf | (* (log (/ (cos (+ b a)) r)) -1) |
| 31.0ms | r | @ | -inf | (* (log (/ (cos (+ b a)) r)) -1) |
| 1× | egg-herbie |
| 10 720× | lower-fma.f64 |
| 10 720× | lower-fma.f32 |
| 7 512× | lower-*.f64 |
| 7 512× | lower-*.f32 |
| 2 956× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 638 | 9190 |
| 1 | 1993 | 8844 |
| 2 | 6179 | 8749 |
| 0 | 8263 | 8461 |
| 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)))) |
(/ (* 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 (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)))) |
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(/ 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)))) |
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(/ 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)))) |
(/ 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)))) |
(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 (* 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))) |
1 |
(+ 1 (* -1/2 (pow b 2))) |
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2))) |
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2))) |
(cos b) |
(cos b) |
(cos b) |
(cos b) |
(cos b) |
(cos b) |
(cos 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 (+ 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)))) |
(/ (* 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)))) |
(/ (* 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 (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 (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) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (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 (- (* -1/2 (* 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 (* 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))) |
(/ (* 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)))) |
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(/ (* 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))) |
(/ (cos a) (* b r)) |
(/ (+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r)) b) |
(/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b) |
(/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (+ (* -1/2 (/ (cos a) r)) (* (pow b 2) (- (* 1/24 (/ (cos a) r)) (+ (* -1/6 (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (* 1/120 (/ (cos a) r)))))) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) 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) (* r (sin b))) |
(+ (* -1 (/ a r)) (/ (cos b) (* r (sin b)))) |
(+ (* a (- (* -1/2 (/ (* a (cos b)) (* r (sin b)))) (/ 1 r))) (/ (cos b) (* r (sin b)))) |
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (* r (sin b)))) (* 1/6 (/ a r)))) (/ 1 r))) (/ (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)) (* r (sin b))) |
(* -1 (/ (cos a) b)) |
(/ (+ (* -1 (cos a)) (* b (sin a))) b) |
(/ (+ (* -1 (cos a)) (* b (+ (sin a) (* -1 (* b (- (* -1/2 (cos a)) (* -1/6 (cos a)))))))) b) |
(/ (+ (* -1 (cos a)) (* b (+ (sin a) (* b (+ (* -1 (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1 (- (* -1/2 (cos a)) (* -1/6 (cos a))))))))) b) |
(* -1 (/ (cos (+ a b)) (sin b))) |
(* -1 (/ (cos (+ a b)) (sin b))) |
(* -1 (/ (cos (+ a b)) (sin b))) |
(* -1 (/ (cos (+ a b)) (sin b))) |
(* -1 (/ (cos (- a (* -1 b))) (sin b))) |
(* -1 (/ (cos (- a (* -1 b))) (sin b))) |
(* -1 (/ (cos (- a (* -1 b))) (sin b))) |
(* -1 (/ (cos (- a (* -1 b))) (sin b))) |
(* -1 (/ (cos b) (sin b))) |
(+ a (* -1 (/ (cos b) (sin b)))) |
(+ (* -1 (/ (cos b) (sin b))) (* a (+ 1 (* 1/2 (/ (* a (cos b)) (sin b)))))) |
(+ (* -1 (/ (cos b) (sin b))) (* a (+ 1 (* a (+ (* -1/6 a) (* 1/2 (/ (cos b) (sin b)))))))) |
(* -1 (/ (cos (+ a b)) (sin b))) |
(* -1 (/ (cos (+ a b)) (sin b))) |
(* -1 (/ (cos (+ a b)) (sin b))) |
(* -1 (/ (cos (+ a b)) (sin b))) |
(* -1 (/ (cos (- b (* -1 a))) (sin b))) |
(* -1 (/ (cos (- b (* -1 a))) (sin b))) |
(* -1 (/ (cos (- b (* -1 a))) (sin b))) |
(* -1 (/ (cos (- b (* -1 a))) (sin b))) |
(* -1 (/ (cos b) (sin b))) |
(- a (/ (cos b) (sin b))) |
(- a (/ (cos b) (sin b))) |
(- a (/ (cos b) (sin b))) |
a |
(* a (+ 1 (* -1 (/ (cos b) (* a (sin b)))))) |
(* a (+ 1 (* -1 (/ (cos b) (* a (sin b)))))) |
(* a (+ 1 (* -1 (/ (cos b) (* a (sin b)))))) |
a |
(* -1 (* a (- (/ (cos b) (* a (sin b))) 1))) |
(* -1 (* a (- (/ (cos b) (* a (sin b))) 1))) |
(* -1 (* a (- (/ (cos b) (* a (sin b))) 1))) |
(/ -1 b) |
(/ (- (* a b) 1) b) |
(/ (- (* b (+ a (* 1/3 b))) 1) b) |
(/ (- (* b (+ a (* b (+ 1/3 (* 1/45 (pow b 2)))))) 1) b) |
(- a (/ (cos b) (sin b))) |
(- a (/ (cos b) (sin b))) |
(- a (/ (cos b) (sin b))) |
(- a (/ (cos b) (sin b))) |
(- a (/ (cos b) (sin b))) |
(- a (/ (cos b) (sin b))) |
(- a (/ (cos b) (sin b))) |
(- a (/ (cos b) (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 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)))) |
(/ 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))) |
(* -1 (log (/ (cos a) r))) |
(+ (* -1 (log (/ (cos a) r))) (/ (* b (sin a)) (cos a))) |
(+ (* -1 (log (/ (cos a) r))) (* b (+ (* -1/2 (* b (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1))) (/ (sin a) (cos a))))) |
(+ (* -1 (log (/ (cos a) r))) (* b (+ (* b (+ (* -1/2 (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1)) (* -1/6 (* b (+ (* -3 (/ (sin a) (cos a))) (+ (* -2 (/ (pow (sin a) 3) (pow (cos a) 3))) (/ (sin a) (cos a)))))))) (/ (sin a) (cos a))))) |
(* -1 (log (/ (cos (+ a b)) r))) |
(* -1 (log (/ (cos (+ a b)) r))) |
(* -1 (log (/ (cos (+ a b)) r))) |
(* -1 (log (/ (cos (+ a b)) r))) |
(* -1 (log (/ (cos (- a (* -1 b))) r))) |
(* -1 (log (/ (cos (- a (* -1 b))) r))) |
(* -1 (log (/ (cos (- a (* -1 b))) r))) |
(* -1 (log (/ (cos (- a (* -1 b))) r))) |
(* -1 (log (/ (cos b) r))) |
(+ (* -1 (log (/ (cos b) r))) (/ (* a (sin b)) (cos b))) |
(+ (* -1 (log (/ (cos b) r))) (* a (+ (* -1/2 (* a (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1))) (/ (sin b) (cos b))))) |
(+ (* -1 (log (/ (cos b) r))) (* a (+ (* a (+ (* -1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)) (* -1/6 (* a (+ (* -3 (/ (sin b) (cos b))) (+ (* -2 (/ (pow (sin b) 3) (pow (cos b) 3))) (/ (sin b) (cos b)))))))) (/ (sin b) (cos b))))) |
(* -1 (log (/ (cos (+ a b)) r))) |
(* -1 (log (/ (cos (+ a b)) r))) |
(* -1 (log (/ (cos (+ a b)) r))) |
(* -1 (log (/ (cos (+ a b)) r))) |
(* -1 (log (/ (cos (- b (* -1 a))) r))) |
(* -1 (log (/ (cos (- b (* -1 a))) r))) |
(* -1 (log (/ (cos (- b (* -1 a))) r))) |
(* -1 (log (/ (cos (- b (* -1 a))) r))) |
(* -1 (+ (log (cos (+ a b))) (* -1 (log r)))) |
(* -1 (+ (log (cos (+ a b))) (* -1 (log r)))) |
(* -1 (+ (log (cos (+ a b))) (* -1 (log r)))) |
(* -1 (+ (log (cos (+ a b))) (* -1 (log r)))) |
(* -1 (+ (log (cos (+ a b))) (log (/ 1 r)))) |
(* -1 (+ (log (cos (+ a b))) (log (/ 1 r)))) |
(* -1 (+ (log (cos (+ a b))) (log (/ 1 r)))) |
(* -1 (+ (log (cos (+ a b))) (log (/ 1 r)))) |
(* -1 (+ (log (* -1 (cos (+ a b)))) (log (/ -1 r)))) |
(* -1 (+ (log (* -1 (cos (+ a b)))) (log (/ -1 r)))) |
(* -1 (+ (log (* -1 (cos (+ a b)))) (log (/ -1 r)))) |
(* -1 (+ (log (* -1 (cos (+ a b)))) (log (/ -1 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))) |
(log (/ (cos a) r)) |
(+ (log (/ (cos a) r)) (* -1 (/ (* b (sin a)) (cos a)))) |
(+ (log (/ (cos a) r)) (* b (+ (* -1 (/ (sin a) (cos a))) (* 1/2 (* b (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1)))))) |
(+ (log (/ (cos a) r)) (* b (+ (* -1 (/ (sin a) (cos a))) (* b (+ (* 1/6 (* b (+ (* -3 (/ (sin a) (cos a))) (+ (* -2 (/ (pow (sin a) 3) (pow (cos a) 3))) (/ (sin a) (cos a)))))) (* 1/2 (- (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) 1))))))) |
(log (/ (cos (+ a b)) r)) |
(log (/ (cos (+ a b)) r)) |
(log (/ (cos (+ a b)) r)) |
(log (/ (cos (+ a b)) r)) |
(log (/ (cos (- a (* -1 b))) r)) |
(log (/ (cos (- a (* -1 b))) r)) |
(log (/ (cos (- a (* -1 b))) r)) |
(log (/ (cos (- a (* -1 b))) r)) |
(log (/ (cos b) r)) |
(+ (log (/ (cos b) r)) (* -1 (/ (* a (sin b)) (cos b)))) |
(+ (log (/ (cos b) r)) (* a (+ (* -1 (/ (sin b) (cos b))) (* 1/2 (* a (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1)))))) |
(+ (log (/ (cos b) r)) (* a (+ (* -1 (/ (sin b) (cos b))) (* a (+ (* 1/6 (* a (+ (* -3 (/ (sin b) (cos b))) (+ (* -2 (/ (pow (sin b) 3) (pow (cos b) 3))) (/ (sin b) (cos b)))))) (* 1/2 (- (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))) 1))))))) |
(log (/ (cos (+ a b)) r)) |
(log (/ (cos (+ a b)) r)) |
(log (/ (cos (+ a b)) r)) |
(log (/ (cos (+ a b)) r)) |
(log (/ (cos (- b (* -1 a))) r)) |
(log (/ (cos (- b (* -1 a))) r)) |
(log (/ (cos (- b (* -1 a))) r)) |
(log (/ (cos (- b (* -1 a))) r)) |
(+ (log (cos (+ a b))) (* -1 (log r))) |
(+ (log (cos (+ a b))) (* -1 (log r))) |
(+ (log (cos (+ a b))) (* -1 (log r))) |
(+ (log (cos (+ a b))) (* -1 (log r))) |
(+ (log (cos (+ a b))) (log (/ 1 r))) |
(+ (log (cos (+ a b))) (log (/ 1 r))) |
(+ (log (cos (+ a b))) (log (/ 1 r))) |
(+ (log (cos (+ a b))) (log (/ 1 r))) |
(+ (log (* -1 (cos (+ a b)))) (log (/ -1 r))) |
(+ (log (* -1 (cos (+ a b)))) (log (/ -1 r))) |
(+ (log (* -1 (cos (+ a b)))) (log (/ -1 r))) |
(+ (log (* -1 (cos (+ a b)))) (log (/ -1 r))) |
(* 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) |
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) |
(/ 1 b) |
(/ (+ 1 (* -1/3 (pow b 2))) b) |
(/ (+ 1 (* (pow b 2) (- (* -1/45 (pow b 2)) 1/3))) b) |
(/ (+ 1 (* (pow b 2) (- (* (pow b 2) (- (* -2/945 (pow b 2)) 1/45)) 1/3))) b) |
(/ (cos b) (sin b)) |
(/ (cos b) (sin b)) |
(/ (cos b) (sin b)) |
(/ (cos b) (sin b)) |
(/ (cos b) (sin b)) |
(/ (cos b) (sin b)) |
(/ (cos b) (sin b)) |
(/ (cos 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))) |
(/ (cos a) r) |
(+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r)) |
(+ (* b (+ (* -1 (/ (sin a) r)) (* -1/2 (/ (* b (cos a)) r)))) (/ (cos a) r)) |
(+ (* b (+ (* -1 (/ (sin a) r)) (* b (+ (* -1/2 (/ (cos a) r)) (* 1/6 (/ (* b (sin a)) r)))))) (/ (cos a) r)) |
(/ (cos (+ a 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) |
(+ (* -1 (/ (* a (sin b)) r)) (/ (cos b) r)) |
(+ (* a (+ (* -1 (/ (sin b) r)) (* -1/2 (/ (* a (cos b)) r)))) (/ (cos b) r)) |
(+ (* a (+ (* -1 (/ (sin b) r)) (* a (+ (* -1/2 (/ (cos b) r)) (* 1/6 (/ (* a (sin b)) r)))))) (/ (cos b) r)) |
(/ (cos (+ 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))) 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) |
| 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)))) |
(/.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)))) |
(/.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)))) |
(/.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)))) |
(/.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)))) |
(/.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)))) |
(/ (* 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 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a))))) (/.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 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a))))) (/.f64 (sin.f64 a) (cos.f64 a)))) (neg.f64 b) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))))) (/.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 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)))) |
(/.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)))) |
(/.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)))) |
(/.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 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 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r a)) (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 a (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))) (/.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 (+ (* -1/2 (/ (* 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 (sin.f64 b) (/.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r (sin.f64 b))) (cos.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 #s(literal 1/2 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) |
(/ (* 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)))) |
(/.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)))) |
(/.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)))) |
(/.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 (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 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 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (fma.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))))) (/.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 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) r) (cos.f64 a)) (/.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 (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (fma.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (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) (cos b)) (* (sin a) (sin b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 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 a (fma.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))) |
(+ (* 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))) |
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(/ (sin b) (cos b)) |
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b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
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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) |
(sin.f64 b) |
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(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
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(sin b) |
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(sin b) |
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(sin b) |
(sin.f64 b) |
(cos a) |
(cos.f64 a) |
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(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
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(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
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(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
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(fma.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) |
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(/ (* r (sin b)) (cos (+ a b))) |
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(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
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(/ (* r (sin b)) (cos (+ a b))) |
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(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.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 (sin b)) (cos (+ a b))) |
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(/ (* r (sin b)) (cos (+ a b))) |
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(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (cos a) (* b r)) |
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(/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b) |
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(/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (+ (* -1/2 (/ (cos a) r)) (* (pow b 2) (- (* 1/24 (/ (cos a) r)) (+ (* -1/6 (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (* 1/120 (/ (cos a) r)))))) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b) |
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(/ (cos (- a (* -1 b))) (* r (sin b))) |
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(/ (cos b) (* r (sin b))) |
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(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow a 2))) |
(fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(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) |
(cos.f64 a) |
(cos a) |
(cos.f64 a) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ (+ 1 (* -1/3 (pow b 2))) b) |
(/.f64 (fma.f64 b (*.f64 b #s(literal -1/3 binary64)) #s(literal 1 binary64)) b) |
(/ (+ 1 (* (pow b 2) (- (* -1/45 (pow b 2)) 1/3))) b) |
(/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) b) |
(/ (+ 1 (* (pow b 2) (- (* (pow b 2) (- (* -2/945 (pow b 2)) 1/45)) 1/3))) b) |
(/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -2/945 binary64) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) b) |
(/ (cos b) (sin b)) |
(/.f64 (cos.f64 b) (sin.f64 b)) |
(/ (cos b) (sin b)) |
(/.f64 (cos.f64 b) (sin.f64 b)) |
(/ (cos b) (sin b)) |
(/.f64 (cos.f64 b) (sin.f64 b)) |
(/ (cos b) (sin b)) |
(/.f64 (cos.f64 b) (sin.f64 b)) |
(/ (cos b) (sin b)) |
(/.f64 (cos.f64 b) (sin.f64 b)) |
(/ (cos b) (sin b)) |
(/.f64 (cos.f64 b) (sin.f64 b)) |
(/ (cos b) (sin b)) |
(/.f64 (cos.f64 b) (sin.f64 b)) |
(/ (cos b) (sin b)) |
(/.f64 (cos.f64 b) (sin.f64 b)) |
(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 b (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.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 #s(literal -1/2 binary64) (*.f64 a (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 a (fma.f64 (cos.f64 b) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 b) a))) (neg.f64 (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)) |
(/ (cos a) r) |
(/.f64 (cos.f64 a) r) |
(+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r)) |
(fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) |
(+ (* b (+ (* -1 (/ (sin a) r)) (* -1/2 (/ (* b (cos a)) r)))) (/ (cos a) r)) |
(fma.f64 b (-.f64 (/.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) r) (/.f64 (sin.f64 a) r)) (/.f64 (cos.f64 a) r)) |
(+ (* b (+ (* -1 (/ (sin a) r)) (* b (+ (* -1/2 (/ (cos a) r)) (* 1/6 (/ (* b (sin a)) r)))))) (/ (cos a) r)) |
(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 (/.f64 (sin.f64 a) r) #s(literal 1/6 binary64)) (/.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) r)) (neg.f64 (/.f64 (sin.f64 a) r))) (/.f64 (cos.f64 a) r)) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(/ (cos (- a (* -1 b))) r) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(/ (cos (- a (* -1 b))) r) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(/ (cos (- a (* -1 b))) r) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(/ (cos (- a (* -1 b))) r) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(/ (cos b) r) |
(/.f64 (cos.f64 b) r) |
(+ (* -1 (/ (* a (sin b)) r)) (/ (cos b) r)) |
(-.f64 (/.f64 (cos.f64 b) r) (/.f64 (*.f64 (sin.f64 b) a) r)) |
(+ (* a (+ (* -1 (/ (sin b) r)) (* -1/2 (/ (* a (cos b)) r)))) (/ (cos b) r)) |
(fma.f64 a (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) r) (/.f64 (sin.f64 b) r)) (/.f64 (cos.f64 b) r)) |
(+ (* a (+ (* -1 (/ (sin b) r)) (* a (+ (* -1/2 (/ (cos b) r)) (* 1/6 (/ (* a (sin b)) r)))))) (/ (cos b) r)) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 b) r) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 b) a)) r)) (neg.f64 (/.f64 (sin.f64 b) r))) (/.f64 (cos.f64 b) r)) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(/ (cos (- b (* -1 a))) r) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(/ (cos (- b (* -1 a))) r) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(/ (cos (- b (* -1 a))) r) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(/ (cos (- b (* -1 a))) r) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
(/ (cos (+ a b)) r) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
| 4 576× | lower-*.f32 |
| 4 562× | lower-*.f64 |
| 4 336× | lower-/.f32 |
| 4 324× | lower-/.f64 |
| 2 312× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 290 |
| 0 | 87 | 258 |
| 1 | 290 | 223 |
| 2 | 1879 | 222 |
| 0 | 8459 | 222 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b)) |
(/.f64 r (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) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(cos.f64 b) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)) |
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))) |
(/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))) |
(sin.f64 b) |
#s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r))) |
(/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r)) |
#s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) |
(-.f64 a (/.f64 (cos.f64 b) (sin.f64 b))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64)) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) |
(log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(*.f64 a a) |
(cos.f64 a) |
(/.f64 (cos.f64 b) (sin.f64 b)) |
(cos.f64 (+.f64 b a)) |
(/.f64 (cos.f64 (+.f64 b a)) r) |
| Outputs |
|---|
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.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 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a))) |
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (neg.f64 (*.f64 r (neg.f64 (sin.f64 b)))) (cos.f64 (+.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 r))) (cos.f64 (+.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 b)) r)) (cos.f64 (+.f64 b a))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (cos.f64 (+.f64 b a))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 #s(literal 1 binary64) (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 (/.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)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (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) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a))) |
(exp.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 b a))))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))) |
(neg.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))) |
(/.f64 (neg.f64 r) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) |
(/.f64 (/.f64 r #s(literal 1 binary64)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 r #s(literal 1 binary64)) (cos.f64 (+.f64 b a))) |
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (cos.f64 (+.f64 b a)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 r))) |
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (cos.f64 (+.f64 b a))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 r)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) r)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 (neg.f64 (/.f64 r #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) |
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1/2 binary64)) |
(*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
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(-.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))) (log.f64 r)) |
(fma.f64 #s(literal -1 binary64) (log.f64 r) (log.f64 (cos.f64 (+.f64 b a)))) |
(neg.f64 (log.f64 (/.f64 r (cos.f64 (+.f64 b a))))) |
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(-.f64 (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64))) |
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(exp.f64 (log.f64 (cos.f64 (+.f64 b a)))) |
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(pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 r (cos.f64 (+.f64 b a))))) |
(pow.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 #s(literal 1 binary64) r)) |
(*.f64 (cos.f64 (+.f64 b a)) (exp.f64 (neg.f64 (log.f64 r)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) r) (neg.f64 (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal -1 binary64) r) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) r) (cos.f64 (+.f64 b a))) |
(*.f64 (/.f64 #s(literal 1 binary64) r) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) r)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))) |
(*.f64 (pow.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) |
Compiled 37 278 to 4 187 computations (88.8% saved)
91 alts after pruning (85 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 683 | 35 | 1 718 |
| Fresh | 27 | 50 | 77 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 713 | 91 | 1 804 |
| Status | Accuracy | Program |
|---|---|---|
| 75.7% | (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 75.5% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) | |
| 75.9% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) | |
| 59.0% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))) | |
| 53.6% | (/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))) | |
| 99.1% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) (neg.f64 r))) | |
| 74.9% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.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 0 binary64) (cos.f64 (+.f64 a b)))) (sin.f64 b)) (neg.f64 r))) | |
| 99.1% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) (neg.f64 r))) | |
| 58.6% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) (neg.f64 r))) | |
| 75.4% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r)) | |
| 56.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (/.f64 (fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal 1/3 binary64)) (sin.f64 a)) (neg.f64 (cos.f64 a))) b)) (neg.f64 r))) | |
| 59.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b)) (neg.f64 r))) | |
| 36.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 #s(approx (cos b) #s(literal 1 binary64)) (sin.f64 b)))) (neg.f64 r))) | |
| 35.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r))) | |
| 34.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r))) | |
| 35.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r))) | |
| 58.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)) (*.f64 r (sin.f64 b)))) | |
| 91.3% | (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) r)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 b) r)))) | |
| 53.5% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) | |
| 58.2% | (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b))) | |
| 58.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (-.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 b (sin.f64 a)) r)) b))) | |
| 53.5% | (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))) r)) | |
| 54.1% | (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 38.9% | (*.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1/2 binary64)) (sin.f64 b)) | |
| 99.5% | (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) | |
| ✓ | 99.5% | (*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b)) |
| 59.1% | (*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a))))) (sin.f64 b)) | |
| 57.5% | (*.f64 (/.f64 r (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b)) | |
| 56.5% | (*.f64 (/.f64 r (fma.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b)) | |
| 60.5% | (*.f64 (/.f64 r (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b)) | |
| 98.8% | (*.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 #s(literal 2 binary64) 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 #s(literal 2 binary64) a)))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))) (sin.f64 b)) | |
| 98.8% | (*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) (sin.f64 b)) | |
| 75.8% | (*.f64 (/.f64 r (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) (sin.f64 b)) | |
| 55.0% | (*.f64 (/.f64 r (*.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) #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))) | |
| 75.8% | (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) | |
| 68.8% | (*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b)) | |
| 75.8% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 43.7% | (*.f64 (/.f64 r (cos.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (sin.f64 b)) | |
| 65.9% | (*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a)))) (sin.f64 b)) | |
| 56.4% | (*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))) (sin.f64 b)) | |
| 59.0% | (*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (sin.f64 b)) | |
| 55.5% | (*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) | |
| 54.8% | (*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #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))) | |
| 35.8% | (*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b)) | |
| 99.2% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 53.6% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) | |
| 53.7% | (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) | |
| 75.5% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))) | |
| 75.7% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) | |
| 38.4% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))) | |
| 55.1% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal -1/6 binary64))) r)))) | |
| 55.5% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r))) | |
| 56.3% | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 75.7% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (sin.f64 b)) | |
| 58.9% | (*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))) | |
| 58.9% | (*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))) r)) | |
| 54.0% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) r)) #s(literal -1 binary64))) (sin.f64 b)) | |
| 42.6% | (*.f64 (exp.f64 #s(approx (* (log (/ (cos (+ b a)) r)) -1) (neg.f64 (log.f64 (/.f64 (cos.f64 b) r))))) (sin.f64 b)) | |
| 38.8% | (*.f64 (exp.f64 #s(approx (* (log (/ (cos (+ b a)) r)) -1) (neg.f64 (log.f64 (/.f64 (cos.f64 a) r))))) (sin.f64 b)) | |
| 27.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (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 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 0 binary64))) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| 27.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 #s(literal 0 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 #s(literal 2 binary64) a))))) #s(literal 0 binary64)))))))) | |
| ✓ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) |
| 86.0% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (neg.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 #s(literal 2 binary64) a)))))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))) | |
| ✓ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
| 57.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| 98.8% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))) | |
| 57.2% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))) | |
| 56.5% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 b)))) | |
| 36.1% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) | |
| 38.6% | (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) #s(literal 1 binary64))))) | |
| 55.1% | (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))) | |
| 40.6% | (*.f64 r (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64)))) | |
| 31.2% | (*.f64 r (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)) (sin.f64 b))) #s(literal -1 binary64)))) | |
| 55.5% | (*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a)))) | |
| 39.5% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) | |
| 56.5% | #s(approx (/ 1 (/ (/ (neg (cos (+ b a))) (sin b)) (neg r))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) | |
| 99.5% | #s(approx (* (/ r (+ (* (cos b) (cos a)) (neg (* (sin 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))))) | |
| 55.1% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) | |
| ✓ | 55.6% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) |
| 34.7% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #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)))))) | |
| 34.6% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) | |
| 34.6% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) | |
| 55.5% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))) | |
| 27.3% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r)))) | |
| 28.3% | #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r)))) | |
| ✓ | 30.8% | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) |
| 14.0% | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r)))) | |
| ✓ | 35.6% | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) |
| 18.3% | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64)))))))) | |
| 11.5% | #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a))))))) |
Compiled 4 736 to 1 749 computations (63.1% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a))))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #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)))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) #s(literal 1 binary64))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(*.f64 r (/.f64 (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 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (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 (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 #s(approx (cos b) #s(literal 1 binary64)) (sin.f64 b)))) (neg.f64 r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal -1/6 binary64))) r)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (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 (*.f64 a 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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #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))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (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)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #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))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) #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))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) |
#s(approx (* (/ r (cos (+ b a))) (sin b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) |
#s(approx (/ 1 (/ (/ (neg (cos (+ b a))) (sin b)) (neg r))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (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 (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))) r)) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))) |
(*.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 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (*.f64 a (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))))))) |
(/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a)))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r)) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) (neg.f64 r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)) (neg.f64 r))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r))) |
(*.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 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b)) (neg.f64 r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) r)) (sin.f64 b))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (-.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 b (sin.f64 a)) r)) b))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #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))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))) (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))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (neg (cos (+ b a))) (-.f64 (*.f64 a (sin.f64 b)) (cos.f64 b))) (sin.f64 b)) (neg.f64 r))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (/.f64 (-.f64 (*.f64 b (fma.f64 (*.f64 b (cos.f64 a)) #s(literal 1/3 binary64) (sin.f64 a))) (cos.f64 a)) b)) (neg.f64 r))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (/.f64 (fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal 1/3 binary64)) (sin.f64 a)) (neg.f64 (cos.f64 a))) b)) (neg.f64 r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.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 0 binary64) (cos.f64 (+.f64 a b)))) (sin.f64 b)) (neg.f64 r))) |
(*.f64 (/.f64 r (*.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) #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))) |
(*.f64 (exp.f64 #s(approx (* (log (/ (cos (+ b a)) r)) -1) (neg.f64 (log.f64 (/.f64 (cos.f64 a) r))))) (sin.f64 b)) |
(*.f64 (exp.f64 #s(approx (* (log (/ (cos (+ b a)) r)) -1) (neg.f64 (log.f64 (/.f64 (cos.f64 b) r))))) (sin.f64 b)) |
(*.f64 r (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)) (sin.f64 b))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 r (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (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 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 b (sin.f64 a))))))) |
(*.f64 (/.f64 r (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b)) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))) |
(*.f64 r (/.f64 (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 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 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 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1/2 binary64)) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a)))))) |
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a))))) (sin.f64 b)) |
(*.f64 r (/.f64 (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 r (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (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))))) |
(*.f64 (/.f64 r (fma.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b)) |
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) |
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (sin.f64 a)))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
#s(approx (* (/ r (+ (* (cos b) (cos a)) (neg (* (sin 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))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.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 b) (cos.f64 a)))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (sin.f64 b))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (sin.f64 b) (sin.f64 a) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) (neg.f64 r))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) (neg.f64 r))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) r)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 b) r)))) |
(*.f64 r (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1 binary64))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (neg.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 #s(literal 2 binary64) a)))))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (neg.f64 (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 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 0 binary64))) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 #s(literal 0 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 #s(literal 2 binary64) a))))) #s(literal 0 binary64)))))))) |
(*.f64 r (/.f64 (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 #s(literal 2 binary64) 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 #s(literal 2 binary64) a)))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) |
(*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b 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 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))) (sin.f64 b)) |
(*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) r)) #s(literal -1 binary64))) (sin.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 #s(literal 2 binary64) a))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 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 #s(literal 2 binary64) a))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 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 #s(literal 2 binary64) a))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 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 #s(literal 2 binary64) a))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 r (/.f64 (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))))))))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
5 calls:
| 66.0ms | r |
| 48.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 48.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 46.0ms | a |
| 44.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | r |
| 99.5% | 1 | a |
| 99.5% | 1 | b |
| 99.5% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 99.5% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a))))))) |
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(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) |
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(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 b (sin.f64 a))))))) |
(*.f64 (/.f64 r (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b)) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))) |
(*.f64 r (/.f64 (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 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 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 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1/2 binary64)) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a)))))) |
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a))))) (sin.f64 b)) |
(*.f64 r (/.f64 (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 r (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (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))))) |
(*.f64 (/.f64 r (fma.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b)) |
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) |
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (sin.f64 a)))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
#s(approx (* (/ r (+ (* (cos b) (cos a)) (neg (* (sin 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))))) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
5 calls:
| 73.0ms | r |
| 68.0ms | b |
| 51.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 40.0ms | a |
| 38.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | a |
| 99.5% | 1 | b |
| 99.5% | 1 | r |
| 99.5% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 99.5% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a))))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #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)))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) #s(literal 1 binary64))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(*.f64 r (/.f64 (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 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (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 (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 #s(approx (cos b) #s(literal 1 binary64)) (sin.f64 b)))) (neg.f64 r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal -1/6 binary64))) r)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (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 (*.f64 a 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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #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))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (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)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #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))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) #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))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) |
#s(approx (* (/ r (cos (+ b a))) (sin b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) |
#s(approx (/ 1 (/ (/ (neg (cos (+ b a))) (sin b)) (neg r))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (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 (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))) r)) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))) |
(*.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 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)) (*.f64 a (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))))))) |
(/.f64 (neg.f64 r) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a)))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r)) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) (neg.f64 r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)) (neg.f64 r))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ b a)) (cos.f64 b))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 r))) |
(*.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 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b)) (neg.f64 r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) r)) (sin.f64 b))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (-.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 b (sin.f64 a)) r)) b))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) #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))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))) (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))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (neg (cos (+ b a))) (-.f64 (*.f64 a (sin.f64 b)) (cos.f64 b))) (sin.f64 b)) (neg.f64 r))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (/.f64 (-.f64 (*.f64 b (fma.f64 (*.f64 b (cos.f64 a)) #s(literal 1/3 binary64) (sin.f64 a))) (cos.f64 a)) b)) (neg.f64 r))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (/.f64 (fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal 1/3 binary64)) (sin.f64 a)) (neg.f64 (cos.f64 a))) b)) (neg.f64 r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.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 0 binary64) (cos.f64 (+.f64 a b)))) (sin.f64 b)) (neg.f64 r))) |
(*.f64 (/.f64 r (*.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) #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))) |
(*.f64 (exp.f64 #s(approx (* (log (/ (cos (+ b a)) r)) -1) (neg.f64 (log.f64 (/.f64 (cos.f64 a) r))))) (sin.f64 b)) |
(*.f64 (exp.f64 #s(approx (* (log (/ (cos (+ b a)) r)) -1) (neg.f64 (log.f64 (/.f64 (cos.f64 b) r))))) (sin.f64 b)) |
(*.f64 r (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)) (sin.f64 b))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 r (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (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 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 b (sin.f64 a))))))) |
(*.f64 (/.f64 r (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b)) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))) |
(*.f64 r (/.f64 (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 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (-.f64 (*.f64 (cos.f64 a) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 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 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1/2 binary64)) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a)))))) |
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a))))) (sin.f64 b)) |
(*.f64 r (/.f64 (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 r (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (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))))) |
(*.f64 (/.f64 r (fma.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (sin.f64 b)) |
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) |
(*.f64 r (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (sin.f64 a)))))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
5 calls:
| 162.0ms | r |
| 105.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 65.0ms | b |
| 59.0ms | a |
| 53.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.9% | 1 | r |
| 75.9% | 1 | a |
| 75.9% | 1 | b |
| 75.9% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 75.9% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a))))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #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)))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) #s(literal 1 binary64))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(*.f64 r (/.f64 (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 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (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 (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 #s(approx (cos b) #s(literal 1 binary64)) (sin.f64 b)))) (neg.f64 r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal -1/6 binary64))) r)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (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 (*.f64 a 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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #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))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (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)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #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))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) #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))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) |
#s(approx (* (/ r (cos (+ b a))) (sin b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) |
#s(approx (/ 1 (/ (/ (neg (cos (+ b a))) (sin b)) (neg r))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (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 (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
5 calls:
| 24.0ms | r |
| 23.0ms | b |
| 17.0ms | a |
| 17.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 16.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.9% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 75.9% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 75.9% | 1 | b |
| 75.9% | 1 | r |
| 75.9% | 1 | a |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a))))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #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)))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) #s(literal 1 binary64))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(*.f64 r (/.f64 (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 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (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 (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 #s(approx (cos b) #s(literal 1 binary64)) (sin.f64 b)))) (neg.f64 r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal -1/6 binary64))) r)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (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 (*.f64 a 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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #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))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (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)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #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))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) #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))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) |
#s(approx (* (/ r (cos (+ b a))) (sin b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) |
#s(approx (/ 1 (/ (/ (neg (cos (+ b a))) (sin b)) (neg r))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (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 (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
5 calls:
| 33.0ms | b |
| 17.0ms | r |
| 17.0ms | a |
| 16.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 16.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.9% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 75.9% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 75.9% | 1 | b |
| 75.9% | 1 | r |
| 75.9% | 1 | a |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a))))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #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)))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) #s(literal 1 binary64))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(*.f64 r (/.f64 (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 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (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 (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 #s(approx (cos b) #s(literal 1 binary64)) (sin.f64 b)))) (neg.f64 r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal -1/6 binary64))) r)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (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 (*.f64 a 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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #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))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (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)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #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))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) #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))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) |
#s(approx (* (/ r (cos (+ b a))) (sin b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) |
#s(approx (/ 1 (/ (/ (neg (cos (+ b a))) (sin b)) (neg r))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (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 (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a))) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) |
5 calls:
| 45.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 41.0ms | r |
| 28.0ms | a |
| 16.0ms | b |
| 16.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.8% | 3 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 76.5% | 3 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 64.7% | 3 | r |
| 76.5% | 3 | b |
| 76.3% | 3 | a |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a))))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #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)))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) #s(literal 1 binary64))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(*.f64 r (/.f64 (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 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (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 (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 #s(approx (cos b) #s(literal 1 binary64)) (sin.f64 b)))) (neg.f64 r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal -1/6 binary64))) r)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (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 (*.f64 a 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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #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))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (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)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #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))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) #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))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) |
#s(approx (* (/ r (cos (+ b a))) (sin b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) |
#s(approx (/ 1 (/ (/ (neg (cos (+ b a))) (sin b)) (neg r))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) |
1 calls:
| 13.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.5% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a))))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #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)))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) #s(literal 1 binary64))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(*.f64 r (/.f64 (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 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (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 (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a (/.f64 #s(approx (cos b) #s(literal 1 binary64)) (sin.f64 b)))) (neg.f64 r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal -1/6 binary64))) r)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (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 (*.f64 a 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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #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))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (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)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #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))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) #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))) (neg.f64 r))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))) r)) |
3 calls:
| 33.0ms | b |
| 25.0ms | a |
| 13.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.2% | 3 | a |
| 74.5% | 3 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 74.6% | 3 | b |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a))))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #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)))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) #s(literal 1 binary64))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(*.f64 r (/.f64 (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 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (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 (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) |
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))) |
1 calls:
| 24.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.6% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a))))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #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)))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) #s(literal 1 binary64))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(*.f64 r (/.f64 (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 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (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))))))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) |
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))) |
1 calls:
| 9.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.6% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a))))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #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)))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) #s(literal 1 binary64))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(*.f64 r (/.f64 (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 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))) |
2 calls:
| 16.0ms | b |
| 9.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.4% | 3 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 74.5% | 3 | b |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a))))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #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)))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) #s(literal 1 binary64))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(*.f64 r (/.f64 (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 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))) |
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) (cos.f64 a)))) |
| Outputs |
|---|
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))) |
1 calls:
| 9.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.5% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a))))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #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)))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) #s(literal 1 binary64))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ r (/ 1 (sin b))) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r)))) |
(*.f64 r (/.f64 (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 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (+ (* b (- (* (cos a) (* b -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (neg (cos (+ b a))) (sin b)) (neg r)) (/.f64 (cos.f64 a) (*.f64 b r)))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #s(approx (cos a) #s(literal 1 binary64))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) |
5 calls:
| 30.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 21.0ms | b |
| 8.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 8.0ms | a |
| 8.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.6% | 1 | r |
| 55.6% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 55.6% | 1 | a |
| 57.3% | 2 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 57.3% | 2 | b |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a))))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #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)))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (/.f64 b (cos.f64 a)))) |
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b)))))) (/.f64 b (cos.f64 a)))) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) |
3 calls:
| 27.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 6.0ms | a |
| 6.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.6% | 1 | a |
| 55.6% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 55.6% | 1 | b |
Compiled 18 to 13 computations (27.8% saved)
Total -18.8b remaining (-45.7%)
Threshold costs -18.8b (-45.7%)
| Inputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 b (*.f64 a a))))))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 #s(approx (+ (* (* a a) 1/2) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a r)) r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 #s(literal -1 binary64) b))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a (*.f64 a r)) #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) r))) r)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (-.f64 a #s(approx (/ (cos b) (sin b)) (/.f64 #s(literal 1 binary64) b)))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) #s(approx (* (+ (* (* a a) 1/2) 1) (* b r)) (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 r (*.f64 b #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) #s(approx (- a (/ (cos b) (sin b))) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/3 binary64) a) #s(literal -1 binary64)) b))) (neg.f64 r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #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)))))) |
| Outputs |
|---|
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) |
5 calls:
| 31.0ms | b |
| 5.0ms | a |
| 5.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 5.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 5.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.6% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 35.6% | 1 | b |
| 35.6% | 1 | r |
| 35.6% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 35.6% | 1 | a |
Compiled 34 to 24 computations (29.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 0.005914632067077714 | 3.6576548498598282 |
| 35.0ms | -101304.22028118106 | -1.0161379682090426e-13 |
| 35.0ms | 171× | 1 | valid |
| 16.0ms | 117× | 0 | valid |
Compiled 591 to 374 computations (36.7% saved)
ival-cos: 16.0ms (52.5% of total)ival-sin: 4.0ms (13.1% of total)ival-add: 3.0ms (9.8% of total)adjust: 3.0ms (9.8% of total)ival-mult: 3.0ms (9.8% of total)ival-div: 2.0ms (6.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.005914632067077714 | 3.6576548498598282 |
| 1.0ms | -101304.22028118106 | -1.0161379682090426e-13 |
Compiled 591 to 374 computations (36.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 0.005914632067077714 | 3.6576548498598282 |
| 3.0ms | -101304.22028118106 | -1.0161379682090426e-13 |
| 6.0ms | 42× | 1 | valid |
| 2.0ms | 38× | 0 | valid |
Compiled 655 to 430 computations (34.4% saved)
ival-cos: 2.0ms (34.9% of total)ival-add: 1.0ms (17.5% of total)ival-div: 1.0ms (17.5% of total)adjust: 1.0ms (17.5% of total)ival-mult: 1.0ms (17.5% of total)ival-sin: 1.0ms (17.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.005914632067077714 | 3.6576548498598282 |
| 1.0ms | -101304.22028118106 | -1.0161379682090426e-13 |
Compiled 647 to 430 computations (33.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.005914632067077714 | 3.6576548498598282 |
| 1.0ms | -101304.22028118106 | -1.0161379682090426e-13 |
Compiled 647 to 430 computations (33.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.005914632067077714 | 3.6576548498598282 |
| 12.0ms | -101304.22028118106 | -1.0161379682090426e-13 |
| 15.0ms | 90× | 1 | valid |
| 5.0ms | 70× | 0 | valid |
Compiled 485 to 340 computations (29.9% saved)
ival-mult: 4.0ms (27.2% of total)ival-cos: 4.0ms (27.2% of total)adjust: 2.0ms (13.6% of total)ival-sin: 2.0ms (13.6% of total)ival-add: 1.0ms (6.8% of total)ival-div: 1.0ms (6.8% 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 |
|---|---|---|
| 1.0ms | 0.005914632067077714 | 3.6576548498598282 |
| 1.0ms | -101304.22028118106 | -1.0161379682090426e-13 |
Compiled 465 to 320 computations (31.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 41.0ms | -101304.22028118106 | -1.0161379682090426e-13 |
| 12.0ms | 72× | 1 | valid |
| 6.0ms | 56× | 0 | valid |
Compiled 245 to 164 computations (33.1% saved)
ival-sin: 4.0ms (29.7% of total)ival-cos: 4.0ms (29.7% of total)ival-add: 1.0ms (7.4% of total)ival-div: 1.0ms (7.4% of total)adjust: 1.0ms (7.4% of total)ival-mult: 1.0ms (7.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 52× | *-commutative_binary64 |
| 22× | +-commutative_binary64 |
| 20× | sub-neg_binary64 |
| 20× | neg-sub0_binary64 |
| 20× | neg-mul-1_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 587 |
| 1 | 161 | 587 |
| 2 | 185 | 587 |
| 3 | 204 | 583 |
| 4 | 214 | 583 |
| 5 | 215 | 583 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(if (<=.f64 b #s(literal -5476377146882523/576460752303423488 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) (if (<=.f64 b #s(literal 5620492334958379/288230376151711744 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))))) |
(if (<=.f64 b #s(literal -5476377146882523/576460752303423488 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) (if (<=.f64 b #s(literal 5620492334958379/288230376151711744 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))) |
(if (<=.f64 b #s(literal -3170534137668829/288230376151711744 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) (if (<=.f64 b #s(literal 3314649325744685/144115188075855872 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))) r)))) |
(if (<=.f64 b #s(literal -3170534137668829/288230376151711744 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) (if (<=.f64 b #s(literal 3314649325744685/144115188075855872 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) (/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))))) |
(if (<=.f64 b #s(literal -3170534137668829/288230376151711744 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) (if (<=.f64 b #s(literal 3314649325744685/144115188075855872 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) (/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))))) |
(if (<=.f64 b #s(literal -7378697629483821/4611686018427387904 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) (if (<=.f64 b #s(literal 7032821178101767/1152921504606846976 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) (/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))))) |
(if (<=.f64 b #s(literal -7378697629483821/4611686018427387904 binary64)) (/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))) (if (<=.f64 b #s(literal 7032821178101767/1152921504606846976 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) (/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))))) |
(if (<=.f64 b #s(literal -9000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #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)))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(if (<=.f64 b #s(literal -5476377146882523/576460752303423488 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) (if (<=.f64 b #s(literal 5620492334958379/288230376151711744 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))))) |
(if (<=.f64 b #s(literal -5476377146882523/576460752303423488 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) (if (<=.f64 b #s(literal 5620492334958379/288230376151711744 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))) |
(if (<=.f64 b #s(literal -3170534137668829/288230376151711744 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) (if (<=.f64 b #s(literal 3314649325744685/144115188075855872 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))) r)))) |
(if (<=.f64 b #s(literal -3170534137668829/288230376151711744 binary64)) (*.f64 r (/.f64 #s(literal -1 binary64) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) (if (<=.f64 b #s(literal 3314649325744685/144115188075855872 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))) r)))) |
(if (<=.f64 b #s(literal -3170534137668829/288230376151711744 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) (if (<=.f64 b #s(literal 3314649325744685/144115188075855872 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) (/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))))) |
(if (<=.f64 b #s(literal -3170534137668829/288230376151711744 binary64)) (*.f64 r (/.f64 #s(literal -1 binary64) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) (if (<=.f64 b #s(literal 3314649325744685/144115188075855872 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b))) (/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))))) |
(if (<=.f64 b #s(literal -3170534137668829/288230376151711744 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) (if (<=.f64 b #s(literal 3314649325744685/144115188075855872 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) (/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))))) |
(if (<=.f64 b #s(literal -3170534137668829/288230376151711744 binary64)) (*.f64 r (/.f64 #s(literal -1 binary64) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) (if (<=.f64 b #s(literal 3314649325744685/144115188075855872 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 b a)))) (/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))))) |
(if (<=.f64 b #s(literal -7378697629483821/4611686018427387904 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) r) (if (<=.f64 b #s(literal 7032821178101767/1152921504606846976 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) (/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))))) |
(if (<=.f64 b #s(literal -7378697629483821/4611686018427387904 binary64)) (*.f64 r (/.f64 #s(literal -1 binary64) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b)))))) (if (<=.f64 b #s(literal 7032821178101767/1152921504606846976 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) (/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))))) |
(if (<=.f64 b #s(literal -7378697629483821/4611686018427387904 binary64)) (/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))) (if (<=.f64 b #s(literal 7032821178101767/1152921504606846976 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a)))) (/.f64 (neg.f64 r) #s(approx (/ (neg (cos (+ b a))) (sin b)) (+.f64 a (/.f64 #s(literal -1 binary64) (tan.f64 b))))))) |
(if (<=.f64 b #s(literal -9000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (/ (sin a) (/ 1 (sin b))))) #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)))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 b r))) |
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b))) |
| 10 720× | lower-fma.f64 |
| 10 720× | lower-fma.f32 |
| 9 408× | lower-fma.f64 |
| 9 408× | lower-fma.f32 |
| 8 560× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 215 | 1226 |
| 1 | 660 | 1174 |
| 2 | 2069 | 1116 |
| 3 | 7705 | 1116 |
| 0 | 8285 | 1075 |
| 0 | 8 | 22 |
| 0 | 13 | 22 |
| 1 | 44 | 22 |
| 2 | 234 | 22 |
| 3 | 1985 | 22 |
| 0 | 10212 | 22 |
| 0 | 507 | 7055 |
| 1 | 1623 | 6789 |
| 2 | 5374 | 6709 |
| 0 | 8500 | 6468 |
| 0 | 638 | 9190 |
| 1 | 1993 | 8844 |
| 2 | 6179 | 8749 |
| 0 | 8263 | 8461 |
| 0 | 37 | 204 |
| 0 | 64 | 179 |
| 1 | 224 | 177 |
| 2 | 1393 | 177 |
| 0 | 8454 | 177 |
| 0 | 525 | 7422 |
| 1 | 1681 | 7154 |
| 2 | 5304 | 7071 |
| 0 | 8337 | 6827 |
| 0 | 56 | 290 |
| 0 | 87 | 258 |
| 1 | 290 | 223 |
| 2 | 1879 | 222 |
| 0 | 8459 | 222 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 647 to 822 computations (50.1% saved)
(negabs r)
Compiled 976 to 296 computations (69.7% saved)
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