
Time bar (total: 11.5s)
| 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)
| 1.1s | 5 778× | 1 | valid |
| 450.0ms | 2 478× | 0 | valid |
ival-cos: 612.0ms (46.8% of total)ival-sin: 349.0ms (26.7% of total)adjust: 117.0ms (8.9% of total)ival-add: 82.0ms (6.3% of total)ival-div: 69.0ms (5.3% of total)ival-mult: 69.0ms (5.3% of total)ival-true: 6.0ms (0.5% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 66 | 131 | (-8.356014856385794e-233 1.716886823856758e+77 -1.1051166496521931e-16) | 0 | - | (cos.f64 (+.f64 a b)) |
| 0 | 0 | - | 0 | - | (+.f64 a b) |
| 0 | 0 | - | 0 | - | (sin.f64 b) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (*.f64 r (sin.f64 b)) |
| 0 | 0 | - | 0 | - | r |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
cos.f64 | (cos.f64 (+.f64 a b)) | sensitivity | 197 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 66 | 0 |
| - | 131 | 59 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 66 | 0 | 0 |
| - | 131 | 0 | 59 |
| number | freq |
|---|---|
| 0 | 59 |
| 1 | 197 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 76.0ms | 380× | 1 | valid |
| 11.0ms | 132× | 0 | valid |
Compiled 66 to 28 computations (57.6% saved)
ival-cos: 30.0ms (46.7% of total)ival-sin: 13.0ms (20.2% of total)adjust: 7.0ms (10.9% of total)ival-add: 5.0ms (7.8% of total)ival-div: 5.0ms (7.8% of total)ival-mult: 4.0ms (6.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 692× | times-frac |
| 392× | associate-*r* |
| 382× | unsub-neg |
| 370× | div-sub |
| 360× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 88 |
| 1 | 89 | 84 |
| 2 | 193 | 84 |
| 3 | 478 | 84 |
| 4 | 1399 | 84 |
| 5 | 2338 | 84 |
| 6 | 2925 | 84 |
| 7 | 3299 | 84 |
| 8 | 3481 | 84 |
| 9 | 3698 | 84 |
| 10 | 3927 | 84 |
| 11 | 3933 | 84 |
| 12 | 3933 | 84 |
| 13 | 3941 | 84 |
| 14 | 3961 | 84 |
| 15 | 3969 | 84 |
| 16 | 3969 | 84 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 17 | 9 |
| 2 | 20 | 9 |
| 3 | 21 | 9 |
| 0 | 21 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(negabs r)
Compiled 12 to 8 computations (33.3% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.0% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 (+.f64 a b)) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 12× | lower-*.f32 |
| 10× | lower-*.f64 |
| 6× | *-commutative |
| 6× | lower-/.f32 |
| 4× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 25 |
| 0 | 13 | 25 |
| 1 | 17 | 25 |
| 2 | 20 | 25 |
| 3 | 21 | 25 |
| 0 | 21 | 25 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 b a)) |
(+.f64 a b) |
(+.f64 b a) |
a |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sin.f64 b) | |
| accuracy | 0.1015625 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.244472509768442 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) | |
| accuracy | 14.104303360806092 | (cos.f64 (+.f64 a b)) |
| 34.0ms | 190× | 1 | valid |
| 11.0ms | 66× | 0 | valid |
Compiled 27 to 10 computations (63% saved)
ival-sin: 10.0ms (29.9% of total)ival-div: 8.0ms (23.9% of total)ival-cos: 8.0ms (23.9% of total)adjust: 3.0ms (9% of total)ival-add: 2.0ms (6% of total)ival-mult: 2.0ms (6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))> |
#<alt (*.f64 r (sin.f64 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 (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* b r)> |
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))> |
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))> |
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (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 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 | |
|---|---|---|---|---|
| 2.0ms | r | @ | 0 | (/ (* r (sin b)) (cos (+ a b))) |
| 1.0ms | b | @ | inf | (/ (* r (sin b)) (cos (+ a b))) |
| 1.0ms | b | @ | 0 | (/ (* r (sin b)) (cos (+ a b))) |
| 1.0ms | r | @ | inf | (/ (* r (sin b)) (cos (+ a b))) |
| 1.0ms | a | @ | inf | (/ (* r (sin b)) (cos (+ a b))) |
| 1× | egg-herbie |
| 10 934× | lower-fma.f64 |
| 10 934× | lower-fma.f32 |
| 4 746× | lower-*.f64 |
| 4 746× | lower-*.f32 |
| 2 894× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 960 |
| 1 | 517 | 928 |
| 2 | 1595 | 886 |
| 3 | 5409 | 885 |
| 0 | 8292 | 853 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
| Outputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* b r) (cos a)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 b (-.f64 (/.f64 (*.f64 (sin.f64 a) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 r (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 a (fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (neg.f64 a))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 a (-.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (fma.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (*.f64 a (fma.f64 (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))) a)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* b r) |
(*.f64 r b) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r)) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 r (*.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 r #s(literal -1/6 binary64))) r)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
| 6 510× | lower-*.f32 |
| 6 508× | lower-*.f64 |
| 3 846× | lower-fma.f64 |
| 3 846× | lower-fma.f32 |
| 3 176× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 44 | 19 |
| 2 | 234 | 19 |
| 3 | 2050 | 19 |
| 0 | 8441 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(cos.f64 (+.f64 a b)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) (neg.f64 r)))) |
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) (neg.f64 r)) #s(literal 1 binary64)) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) #s(literal -1 binary64)) (cos.f64 (+.f64 b a))) |
(pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) (neg.f64 r))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a))))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) |
(neg.f64 (*.f64 (sin.f64 b) (neg.f64 r))) |
(*.f64 r (sin.f64 b)) |
(*.f64 r (neg.f64 (sin.f64 (neg.f64 b)))) |
(*.f64 r (*.f64 (sin.f64 b) #s(literal 1 binary64))) |
(*.f64 (sin.f64 b) r) |
(*.f64 (sin.f64 b) (neg.f64 (neg.f64 r))) |
(*.f64 (sin.f64 b) (*.f64 r #s(literal 1 binary64))) |
(*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) |
(*.f64 (sin.f64 (neg.f64 b)) (neg.f64 r)) |
(*.f64 (neg.f64 r) (sin.f64 (neg.f64 b))) |
(*.f64 (neg.f64 (sin.f64 (neg.f64 b))) r) |
(*.f64 (neg.f64 (neg.f64 r)) (sin.f64 b)) |
(sin.f64 b) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(+.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a))))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))) |
(cos.f64 (+.f64 b a)) |
(cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))) |
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))) |
(cos.f64 (/.f64 (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 a (-.f64 a b) (*.f64 b b)))) |
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (neg.f64 (-.f64 a b))) (-.f64 a b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) |
(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) (/.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 a b)))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (neg.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (neg.f64 (/.f64 (*.f64 b b) (-.f64 a b)))))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (sin.f64 a) (sin.f64 (neg.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a))))) |
(neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) |
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (neg.f64 (cos.f64 (-.f64 a b)))) |
(/.f64 (-.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal -2 binary64)) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64)) |
(pow.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)) |
(*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))) |
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) |
Compiled 3 974 to 536 computations (86.5% saved)
32 alts after pruning (31 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 202 | 31 | 233 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 202 | 32 | 234 |
| Status | Accuracy | Program |
|---|---|---|
| 45.6% | (pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 99.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| ▶ | 99.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
| 98.6% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))) | |
| 76.9% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 a b))))) | |
| 77.9% | (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) | |
| ▶ | 49.8% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
| ✓ | 78.0% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 52.8% | (/.f64 (*.f64 r (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)))) | |
| 59.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) | |
| 59.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) | |
| 53.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) | |
| 61.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) | |
| 55.9% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) | |
| 51.6% | (/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b))) | |
| 51.8% | (/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b))) | |
| 51.6% | (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) | |
| 77.9% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 77.6% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) | |
| ▶ | 77.8% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
| 78.0% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) | |
| 77.8% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) | |
| ▶ | 77.9% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
| 77.5% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) | |
| 77.9% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) | |
| 77.9% | (*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) | |
| 77.9% | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) | |
| 35.0% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) | |
| ▶ | 51.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
| 61.1% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) | |
| 52.2% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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))))) | |
| 51.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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))))) |
Compiled 1 244 to 744 computations (40.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (sin.f64 b)) | |
| cost-diff | 256 | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) | |
| cost-diff | 6464 | (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)) | |
| cost-diff | 7040 | (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) | |
| cost-diff | 128 | (neg.f64 (-.f64 a b)) | |
| cost-diff | 128 | (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))) | |
| cost-diff | 1280 | (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a 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 b) | |
| cost-diff | 0 | (/.f64 (*.f64 r b) (cos.f64 a)) | |
| cost-diff | 0 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) | |
| cost-diff | 0 | (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
| 5 818× | lower-fma.f32 |
| 5 816× | lower-fma.f64 |
| 2 160× | lower-*.f32 |
| 2 148× | lower-*.f64 |
| 1 374× | lower--.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 236 |
| 0 | 65 | 211 |
| 1 | 106 | 208 |
| 2 | 208 | 199 |
| 3 | 465 | 197 |
| 4 | 1246 | 197 |
| 5 | 3680 | 197 |
| 6 | 6397 | 197 |
| 7 | 7767 | 197 |
| 0 | 8080 | 197 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 r (sin.f64 b)) |
r |
(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 (*.f64 r b) (cos.f64 a))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 r b) |
r |
b |
(cos.f64 a) |
a |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(/.f64 r (cos.f64 (+.f64 b a))) |
r |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
b |
a |
(sin.f64 b) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))) |
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))) |
(*.f64 (+.f64 b a) (-.f64 a b)) |
(+.f64 b a) |
a |
(-.f64 a b) |
(neg.f64 (-.f64 a b)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
#s(literal -1 binary64) |
(sin.f64 b) |
b |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)) |
(/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
a |
(neg.f64 r) |
r |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (sin.f64 (neg.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (sin.f64 a) (sin.f64 (neg.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(cos.f64 b) |
(cos.f64 a) |
a |
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) |
(*.f64 (sin.f64 b) (sin.f64 (neg.f64 a))) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(sin.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 r b) |
r |
b |
(cos.f64 a) |
a |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
r |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
b |
a |
(sin.f64 b) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))) |
(cos.f64 (+.f64 b a)) |
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))) |
(-.f64 (neg.f64 a) b) |
(*.f64 (+.f64 b a) (-.f64 a b)) |
(+.f64 b a) |
a |
(-.f64 a b) |
(neg.f64 (-.f64 a b)) |
(-.f64 b a) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) |
(sin.f64 (neg.f64 b)) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
#s(literal -1 binary64) |
(sin.f64 b) |
b |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) |
(/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
a |
(neg.f64 r) |
r |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.19921875 | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) | |
| accuracy | 0.2109375 | (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)) | |
| accuracy | 0.24609375 | (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) | |
| accuracy | 14.1043033608061 | (cos.f64 (+.f64 b a)) | |
| accuracy | 0.1015625 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.244472509768442 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) | |
| accuracy | 14.104303360806092 | (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))) | |
| accuracy | 29.01538685552668 | (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))) | |
| accuracy | 0 | (sin.f64 b) | |
| accuracy | 0.1953125 | (/.f64 r (cos.f64 (+.f64 b a))) | |
| accuracy | 0.19921875 | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) | |
| accuracy | 14.1043033608061 | (cos.f64 (+.f64 b a)) | |
| accuracy | 0 | (*.f64 r b) | |
| accuracy | 0 | (cos.f64 a) | |
| accuracy | 0.12109375 | (/.f64 (*.f64 r b) (cos.f64 a)) | |
| accuracy | 30.725032206885096 | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) | |
| accuracy | 0.07776129138909577 | (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| accuracy | 0.1015625 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.17578125 | (*.f64 (sin.f64 b) (sin.f64 a)) | |
| accuracy | 0.244472509768442 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
| 176.0ms | 194× | 1 | valid |
| 24.0ms | 62× | 0 | valid |
Compiled 233 to 37 computations (84.1% saved)
ival-cos: 42.0ms (26% of total)ival-div: 29.0ms (17.9% of total)ival-mult: 23.0ms (14.2% of total)ival-pow: 18.0ms (11.1% of total)ival-sin: 18.0ms (11.1% of total)adjust: 15.0ms (9.3% of total)ival-sub: 6.0ms (3.7% of total)ival-neg: 6.0ms (3.7% of total)ival-add: 6.0ms (3.7% 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 (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))> |
#<alt (*.f64 r (sin.f64 b))> |
#<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 (*.f64 r b) (cos.f64 a)))> |
#<alt (/.f64 (*.f64 r b) (cos.f64 a))> |
#<alt (*.f64 r b)> |
#<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 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))> |
#<alt (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))> |
#<alt (neg.f64 (-.f64 a b))> |
#<alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))> |
#<alt (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64))> |
#<alt (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))> |
#<alt (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))> |
#<alt (/.f64 #s(literal -1 binary64) (sin.f64 b))> |
#<alt (*.f64 (sin.f64 b) (sin.f64 a))> |
| 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 (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* b r)> |
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))> |
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))> |
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
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#<alt (sin b)> |
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#<alt (* -1 (* b (- (/ a b) 1)))> |
#<alt (* -1 (* b (- (/ a b) 1)))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))> |
#<alt (/ (* b r) (cos (* -1 a)))> |
#<alt (* b (+ (/ r (cos (* -1 a))) (/ (* b (* r (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1)))) (pow (cos (* -1 a)) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (pow (cos (* -1 a)) 3))) (/ (* r (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (pow (cos (* -1 a)) 2))))) (* -1 (/ (* r (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))) (pow (cos (* -1 a)) 2))))) (/ r (cos (* -1 a)))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (pow (cos (* -1 a)) 3))) (/ (* r (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (pow (cos (* -1 a)) 2)))))) (cos (* -1 a)))) (+ (/ (* r (* (sin (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))))) (pow (cos (* -1 a)) 3)) (/ (* r (- (* -1 (* (cos (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (* (sin (* -1 a)) (- (+ (* -1/6 (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 3)) (/ 1 (pow a 2))) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) (pow a 2))))))) (pow (cos (* -1 a)) 2)))))) (* -1/6 (/ r (cos (* -1 a))))) (+ (* -1 (/ (* r (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (pow (cos (* -1 a)) 3))) (/ (* r (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (pow (cos (* -1 a)) 2))))) (* -1 (/ (* r (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))) (pow (cos (* -1 a)) 2))))) (/ r (cos (* -1 a)))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))> |
#<alt (/ (* r (sin b)) (cos (* -1 b)))> |
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (* -1 b))))) (pow (cos (* -1 b)) 2))) (/ (* r (sin b)) (cos (* -1 b))))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b))))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))> |
#<alt (* -1 b)> |
#<alt (* b (- (* 1/6 (pow b 2)) 1))> |
#<alt (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))> |
#<alt (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (/ r (cos a)))> |
#<alt (+ (* -1 (/ r (cos a))) (* -1 (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))))))> |
#<alt (+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (+ (* -1/2 (/ r (cos a))) (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))))))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (- a (* -1 b)))))> |
#<alt (* -1 (/ r (cos (- a (* -1 b)))))> |
#<alt (* -1 (/ r (cos (- a (* -1 b)))))> |
#<alt (* -1 (/ r (cos (- a (* -1 b)))))> |
#<alt (* -1 (/ r (cos b)))> |
#<alt (+ (* -1 (/ r (cos b))) (* -1 (/ (* a (* r (sin b))) (pow (cos b) 2))))> |
#<alt (+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))))))> |
#<alt (+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (+ (* -1/2 (/ r (cos b))) (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))))))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (- b (* -1 a)))))> |
#<alt (* -1 (/ r (cos (- b (* -1 a)))))> |
#<alt (* -1 (/ r (cos (- b (* -1 a)))))> |
#<alt (* -1 (/ r (cos (- b (* -1 a)))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (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 (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 (/ -1 b)> |
#<alt (/ (- (* -1/6 (pow b 2)) 1) b)> |
#<alt (/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b)> |
#<alt (/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) b)> |
#<alt (/ -1 (sin b))> |
#<alt (/ -1 (sin b))> |
#<alt (/ -1 (sin b))> |
#<alt (/ -1 (sin b))> |
#<alt (/ -1 (sin b))> |
#<alt (/ -1 (sin b))> |
#<alt (/ -1 (sin b))> |
#<alt (/ -1 (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 (* 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))> |
138 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | r | @ | -inf | (/ r (cos (+ b a))) |
| 38.0ms | b | @ | -inf | (/ -1 (sin b)) |
| 35.0ms | r | @ | 0 | (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) |
| 8.0ms | b | @ | -inf | (pow (/ (cos (+ b a)) (neg r)) -1) |
| 4.0ms | b | @ | 0 | (/ (* r b) (cos a)) |
| 1× | egg-herbie |
| 9 418× | lower-fma.f64 |
| 9 418× | lower-fma.f32 |
| 7 060× | lower-*.f64 |
| 7 060× | lower-*.f32 |
| 2 604× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 582 | 7019 |
| 1 | 1844 | 6591 |
| 2 | 6586 | 6487 |
| 0 | 8258 | 6324 |
| 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)))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* 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)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(* b r) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
1 |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos b)) |
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
a |
(+ a b) |
(+ a b) |
(+ a b) |
b |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
b |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
b |
(+ a b) |
(+ a b) |
(+ a b) |
a |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
a |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 a) |
(+ (* -1 a) (* b (- (* -1 (/ (+ a (* -1 a)) a)) 1))) |
(+ (* -1 a) (* b (- (+ (* -1 (/ (+ a (* -1 a)) a)) (* b (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a))))) 1))) |
(+ (* -1 a) (* b (- (+ (* -1 (/ (+ a (* -1 a)) a)) (* b (- (+ (/ 1 a) (/ (* b (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))) a)) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a))))) 1))) |
(* -1 b) |
(* b (- (* -1 (/ a b)) 1)) |
(* b (- (* -1 (/ a b)) 1)) |
(* b (- (* -1 (/ a b)) 1)) |
(* -1 b) |
(* -1 (* b (+ 1 (/ a b)))) |
(* -1 (* b (+ 1 (/ a b)))) |
(* -1 (* b (+ 1 (/ a b)))) |
(* -1 b) |
(+ (* -1 a) (* -1 b)) |
(+ (* -1 a) (* -1 b)) |
(+ (* -1 a) (* -1 b)) |
(* -1 a) |
(* a (- (* -1 (/ (+ b (* -1 b)) a)) (+ 1 (/ b a)))) |
(* a (- (+ (* -1 (/ (+ b (* -1 b)) a)) (/ (pow b 2) (pow a 2))) (+ 1 (+ (* -1 (/ (* b (- (* -1 (+ b (* -1 b))) b)) (pow a 2))) (/ b a))))) |
(* a (- (+ (* -1 (/ (+ b (* -1 b)) a)) (+ (/ (* b (- (pow b 2) (* -1 (* b (- (* -1 (+ b (* -1 b))) b))))) (pow a 3)) (/ (pow b 2) (pow a 2)))) (+ 1 (+ (* -1 (/ (* b (- (* -1 (+ b (* -1 b))) b)) (pow a 2))) (/ b a))))) |
(* -1 a) |
(* -1 (* a (+ 1 (/ b a)))) |
(* -1 (* a (+ 1 (/ b a)))) |
(* -1 (* a (+ 1 (/ b a)))) |
(cos (* -1 a)) |
(+ (cos (* -1 a)) (* -1 (* b (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))))) |
(+ (cos (* -1 a)) (* b (- (* b (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))))) |
(+ (cos (* -1 a)) (* b (- (* b (- (+ (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* b (- (* -1 (* (cos (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (* (sin (* -1 a)) (- (+ (* -1/6 (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 3)) (/ 1 (pow a 2))) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) (pow a 2)))))))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos (* -1 (- a (* -1 b)))) |
(cos (* -1 (- a (* -1 b)))) |
(cos (* -1 (- a (* -1 b)))) |
(cos (* -1 (- a (* -1 b)))) |
(cos (* -1 b)) |
(+ (cos (* -1 b)) (* a (sin (* -1 b)))) |
(+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b)))))) |
(+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -1 b)))))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos (* -1 (- b (* -1 a)))) |
(cos (* -1 (- b (* -1 a)))) |
(cos (* -1 (- b (* -1 a)))) |
(cos (* -1 (- b (* -1 a)))) |
b |
(+ b (* -1 a)) |
(+ b (* -1 a)) |
(+ b (* -1 a)) |
(* -1 a) |
(* a (- (/ b a) 1)) |
(* a (- (/ b a) 1)) |
(* a (- (/ b a) 1)) |
(* -1 a) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(* -1 a) |
(- b a) |
(- b a) |
(- b a) |
b |
(* b (+ 1 (* -1 (/ a b)))) |
(* b (+ 1 (* -1 (/ a b)))) |
(* b (+ 1 (* -1 (/ a b)))) |
b |
(* -1 (* b (- (/ a b) 1))) |
(* -1 (* b (- (/ a b) 1))) |
(* -1 (* b (- (/ a b) 1))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* b r) (cos (* -1 a))) |
(* b (+ (/ r (cos (* -1 a))) (/ (* b (* r (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1)))) (pow (cos (* -1 a)) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (pow (cos (* -1 a)) 3))) (/ (* r (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (pow (cos (* -1 a)) 2))))) (* -1 (/ (* r (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))) (pow (cos (* -1 a)) 2))))) (/ r (cos (* -1 a))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (pow (cos (* -1 a)) 3))) (/ (* r (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (pow (cos (* -1 a)) 2)))))) (cos (* -1 a)))) (+ (/ (* r (* (sin (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))))) (pow (cos (* -1 a)) 3)) (/ (* r (- (* -1 (* (cos (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (* (sin (* -1 a)) (- (+ (* -1/6 (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 3)) (/ 1 (pow a 2))) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) (pow a 2))))))) (pow (cos (* -1 a)) 2)))))) (* -1/6 (/ r (cos (* -1 a))))) (+ (* -1 (/ (* r (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (pow (cos (* -1 a)) 3))) (/ (* r (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (pow (cos (* -1 a)) 2))))) (* -1 (/ (* r (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))) (pow (cos (* -1 a)) 2))))) (/ r (cos (* -1 a))))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b))))) |
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b))))) |
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b))))) |
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b))))) |
(/ (* r (sin b)) (cos (* -1 b))) |
(+ (* -1 (/ (* a (* r (* (sin b) (sin (* -1 b))))) (pow (cos (* -1 b)) 2))) (/ (* r (sin b)) (cos (* -1 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a))))) |
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a))))) |
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a))))) |
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a))))) |
(* -1 b) |
(* b (- (* 1/6 (pow b 2)) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (/ r (cos a))) |
(+ (* -1 (/ r (cos a))) (* -1 (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))))) |
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (+ (* -1/2 (/ r (cos a))) (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a))))))))))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (/ r (cos b))) |
(+ (* -1 (/ r (cos b))) (* -1 (/ (* a (* r (sin b))) (pow (cos b) 2)))) |
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))))) |
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (+ (* -1/2 (/ r (cos b))) (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b))))))))))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ -1 b) |
(/ (- (* -1/6 (pow b 2)) 1) b) |
(/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b) |
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) b) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(* b (sin a)) |
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a)))))))) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* a (sin b)) |
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
| 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 (*.f64 r (sin.f64 a)) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.f64 (/.f64 (*.f64 r #s(literal -1/2 binary64)) (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 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.f64 (/.f64 (*.f64 r #s(literal -1/2 binary64)) (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)))) (neg.f64 b) (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.f64 (/.f64 (*.f64 r #s(literal -1/2 binary64)) (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 (*.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 (neg.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (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 (neg.f64 (fma.f64 a (fma.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (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 (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
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(/.f64 #s(literal -1 binary64) b) |
(/ (- (* -1/6 (pow b 2)) 1) b) |
(/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b) |
(/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b) |
(/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -7/360 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) b) |
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) b) |
(/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -31/15120 binary64) #s(literal -7/360 binary64)) #s(literal -1/6 binary64)) #s(literal -1 binary64)) b) |
(/ -1 (sin b)) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(/ -1 (sin b)) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(/ -1 (sin b)) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(/ -1 (sin b)) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(/ -1 (sin b)) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(/ -1 (sin b)) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(/ -1 (sin b)) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(/ -1 (sin b)) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(* b (sin a)) |
(*.f64 b (sin.f64 a)) |
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))) |
(*.f64 b (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #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 (*.f64 b 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 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 a) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (*.f64 b b) (*.f64 b b))))) |
(* (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)) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) |
(*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #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 #s(literal 1/120 binary64) (*.f64 a a) #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 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 (sin.f64 b) (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #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)) |
| 5 162× | lower-/.f32 |
| 5 150× | lower-/.f64 |
| 4 648× | lower-*.f32 |
| 4 636× | lower-*.f64 |
| 3 804× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 169 |
| 0 | 65 | 130 |
| 1 | 218 | 117 |
| 2 | 1452 | 117 |
| 0 | 8562 | 117 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 r (sin.f64 b)) |
(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 (*.f64 r b) (cos.f64 a))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 r b) |
(cos.f64 a) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))) |
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))) |
(neg.f64 (-.f64 a b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(exp.f64 (+.f64 (log.f64 (neg.f64 (sin.f64 b))) (log.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))))) |
(exp.f64 (+.f64 (log.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))) (log.f64 (neg.f64 (sin.f64 b))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (*.f64 (neg.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a))))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))) |
(neg.f64 (*.f64 (neg.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) (*.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (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 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 b))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(/.f64 (*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b))))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) r))) |
(*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) (neg.f64 (sin.f64 b))) |
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))) |
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))))) |
(*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1/2 binary64)) (neg.f64 (sin.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 b)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64))) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (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 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))))) |
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (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 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) |
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(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (cos.f64 (+.f64 b a))) (/.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) r))) |
(*.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) r)) (/.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (+.f64 b a)) r))) |
(*.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))) |
(*.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) r))) |
(exp.f64 (neg.f64 (log.f64 (neg.f64 (sin.f64 b))))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sin.f64 b))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (sin.f64 b)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 b))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (sin.f64 b))))) |
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(literal -1 binary64)) |
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (sin.f64 b)))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (neg.f64 (log.f64 (sin.f64 b))))) |
(-.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) #s(literal 2 binary64)) (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 2 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 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (cos.f64 (-.f64 a b)) #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 a b)) (cos.f64 (+.f64 b a))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64)) (fma.f64 (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 b a)) #s(literal 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 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) |
Compiled 53 275 to 3 999 computations (92.5% saved)
71 alts after pruning (67 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 091 | 60 | 2 151 |
| Fresh | 19 | 7 | 26 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 112 | 71 | 2 183 |
| Status | Accuracy | Program |
|---|---|---|
| 28.1% | (pow.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) | |
| ✓ | 99.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
| 68.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))) | |
| 66.0% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 b (sin.f64 a)))))) | |
| 62.3% | (/.f64 (*.f64 r (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))))) | |
| 89.4% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| 98.7% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))) | |
| 77.9% | (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) | |
| 41.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (/.f64 (-.f64 a b) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 (neg.f64 (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))))) | |
| 23.2% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a)))))))) | |
| 33.4% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(approx (neg (- a b)) (neg.f64 a))))) | |
| 46.4% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) (-.f64 a b)) (neg.f64 (-.f64 a b))))) | |
| ▶ | 71.2% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))) |
| ✓ | 78.0% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 41.8% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (neg.f64 (+.f64 b a)) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))) | |
| 72.4% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (-.f64 a b) (*.f64 (+.f64 b a) (/.f64 #s(literal -1 binary64) (-.f64 a b)))))) | |
| 20.7% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64))))) | |
| 64.1% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (* (+ b a) (- a b)) (neg (- a b))) (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 a b)))))) | |
| 41.9% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (* (+ b a) (- a b)) (neg (- a b))) (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) | |
| 59.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) | |
| 53.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) | |
| 61.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))) | |
| ▶ | 55.9% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) |
| 77.9% | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) | |
| 37.9% | (/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) | |
| 51.8% | (/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b))) | |
| 51.6% | (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) | |
| 77.9% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 77.6% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) | |
| 77.6% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) | |
| 42.1% | (*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) | |
| 99.4% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64))) | |
| 71.0% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) (neg.f64 r)) #s(literal -1 binary64))) | |
| 77.8% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))) | |
| 55.8% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (cos (+ b a)) (neg r)) -1) (/.f64 (neg.f64 r) (cos.f64 a)))) | |
| 61.1% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (cos (+ b a)) (neg r)) -1) (neg.f64 (/.f64 r (cos.f64 b))))) | |
| 77.9% | (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 r #s(literal -1 binary64))) | |
| ▶ | 52.4% | (*.f64 (pow.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
| 77.8% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) #s(literal 1 binary64)) (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b)))) | |
| 77.8% | (*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) | |
| 78.0% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) | |
| ▶ | 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)) |
| 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 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))) (sin.f64 b)) | |
| 77.9% | (*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) | |
| 71.1% | (*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b)) | |
| ✓ | 77.9% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
| 51.6% | (*.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))) | |
| 32.8% | (*.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))) (fma.f64 b (+.f64 b a) (*.f64 a a))))) (sin.f64 b)) | |
| 64.1% | (*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b)) | |
| 61.1% | (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)) | |
| 55.8% | (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) | |
| 77.9% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b)) | |
| 77.9% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) | |
| 48.9% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) | |
| 38.1% | (*.f64 (exp.f64 (log.f64 (neg.f64 (sin.f64 b)))) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) | |
| 51.6% | (*.f64 #s(approx (pow (/ -1 (sin b)) -1) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) | |
| 77.9% | (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) | |
| 35.0% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) | |
| 51.9% | #s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a)))) | |
| 51.9% | #s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 b (fma.f64 (*.f64 r (sin.f64 a)) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) | |
| ✓ | 51.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
| 34.2% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 34.2% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 34.2% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 51.6% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))) | |
| 51.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b))) | |
| 51.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) | |
| 51.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))) | |
| 23.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r b))) #s(literal -1 binary64)))) | |
| 31.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) | |
| ▶ | 35.6% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
Compiled 2 801 to 1 686 computations (39.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 320 | (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b) | |
| cost-diff | 704 | (*.f64 (pow.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) | |
| cost-diff | 5760 | (pow.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) #s(literal -1 binary64)) | |
| cost-diff | 6464 | (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))) | |
| cost-diff | 128 | (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))) | |
| cost-diff | 1280 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))) | |
| cost-diff | 0 | #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (*.f64 r (sin.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) | |
| cost-diff | 0 | (*.f64 r b) | |
| cost-diff | 0 | #s(approx (/ (* r b) (cos a)) (*.f64 r b)) | |
| cost-diff | 0 | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) | |
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) | |
| cost-diff | 0 | (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| cost-diff | 0 | (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) |
| 4 360× | lower-fma.f32 |
| 4 356× | lower-fma.f64 |
| 2 006× | div-sub |
| 1 912× | lower-*.f32 |
| 1 900× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 287 |
| 0 | 79 | 279 |
| 1 | 121 | 276 |
| 2 | 179 | 270 |
| 3 | 271 | 268 |
| 4 | 507 | 268 |
| 5 | 784 | 268 |
| 6 | 1163 | 268 |
| 7 | 1703 | 268 |
| 8 | 2509 | 268 |
| 9 | 3017 | 268 |
| 10 | 3925 | 268 |
| 11 | 5161 | 268 |
| 12 | 6095 | 268 |
| 13 | 6582 | 268 |
| 14 | 6594 | 268 |
| 15 | 6602 | 268 |
| 16 | 6630 | 268 |
| 17 | 6806 | 268 |
| 18 | 7054 | 268 |
| 19 | 7219 | 268 |
| 20 | 7275 | 268 |
| 21 | 7358 | 268 |
| 22 | 7358 | 268 |
| 23 | 7538 | 264 |
| 0 | 8095 | 260 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
r |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(sin.f64 b) |
b |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r b) (cos a)) (*.f64 r b)) |
(*.f64 r b) |
r |
b |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
#s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) |
(cos.f64 a) |
a |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (+.f64 b a)) |
#s(literal -1 binary64) |
(+.f64 b a) |
a |
(*.f64 (pow.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(pow.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) #s(literal -1 binary64)) |
#s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) |
(/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b) |
(fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) |
b |
(*.f64 b #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
#s(literal -1 binary64) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)) |
(/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
a |
(neg.f64 r) |
r |
| Outputs |
|---|
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
r |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(sin.f64 b) |
b |
(neg.f64 (sin.f64 a)) |
(sin.f64 (neg.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r b) (cos a)) (*.f64 r b)) |
(*.f64 r b) |
r |
b |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
#s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) |
(cos.f64 a) |
a |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))) |
(cos.f64 (+.f64 b a)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))) |
(-.f64 (neg.f64 b) a) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (+.f64 b a)) |
#s(literal -1 binary64) |
(+.f64 b a) |
a |
(*.f64 (pow.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (fma.f64 b #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) b))) (neg.f64 (cos.f64 (+.f64 b a))))) |
(pow.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (fma.f64 b #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) b)))) |
#s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) |
#s(approx (/ -1 (sin b)) (fma.f64 b #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) b))) |
(/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b) |
(fma.f64 b #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) b)) |
(fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) |
b |
(*.f64 b #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
#s(literal -1 binary64) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) |
(/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
a |
(neg.f64 r) |
r |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3359375 | (*.f64 b #s(literal -1/6 binary64)) | |
| accuracy | 14.014148645461335 | (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b) | |
| accuracy | 14.104303360806092 | (cos.f64 (+.f64 b a)) | |
| accuracy | 30.35622402604904 | #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) | |
| accuracy | 0.1015625 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.1875 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))) | |
| accuracy | 0.244472509768442 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))) | |
| accuracy | 14.104303360806092 | (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))) | |
| accuracy | 0 | (cos.f64 a) | |
| accuracy | 0.1015625 | (*.f64 r (sin.f64 b)) | |
| accuracy | 0.244472509768442 | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) | |
| accuracy | 28.349537441575762 | #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) | |
| accuracy | 0 | (*.f64 r b) | |
| accuracy | 23.852331947416257 | #s(approx (/ (* r b) (cos a)) (*.f64 r b)) | |
| accuracy | 30.725032206885096 | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) | |
| accuracy | 0.05859375 | (*.f64 (cos.f64 b) (cos.f64 a)) | |
| accuracy | 0.10672628162065376 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) | |
| accuracy | 0.1953125 | (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| accuracy | 0.19921875 | (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) |
| 212.0ms | 194× | 1 | valid |
| 22.0ms | 62× | 0 | valid |
Compiled 246 to 44 computations (82.1% saved)
ival-cos: 53.0ms (29.5% of total)ival-div: 26.0ms (14.5% of total)ival-mult: 22.0ms (12.2% of total)adjust: 20.0ms (11.1% of total)ival-pow: 20.0ms (11.1% of total)ival-sin: 19.0ms (10.6% of total)ival-add: 9.0ms (5% of total)const: 6.0ms (3.3% of total)ival-neg: 5.0ms (2.8% 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 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))> |
#<alt (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))> |
#<alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))> |
#<alt (sin.f64 b)> |
#<alt #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))> |
#<alt #s(approx (/ (* r b) (cos a)) (*.f64 r b))> |
#<alt (*.f64 r b)> |
#<alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))> |
#<alt (*.f64 r (sin.f64 b))> |
#<alt #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))> |
#<alt (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))> |
#<alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))))> |
#<alt (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))> |
#<alt (pow.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) #s(literal -1 binary64))> |
#<alt (*.f64 (pow.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))> |
#<alt (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)> |
#<alt (*.f64 (cos.f64 b) (cos.f64 a))> |
#<alt (cos.f64 a)> |
#<alt #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))> |
#<alt (cos.f64 (+.f64 b a))> |
#<alt (*.f64 b #s(literal -1/6 binary64))> |
| Outputs |
|---|
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
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#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))> |
#<alt (/ (* b r) (cos (* -1 a)))> |
#<alt (* b (+ (* -1 (/ (* b (* r (sin (* -1 a)))) (pow (cos (* -1 a)) 2))) (/ r (cos (* -1 a)))))> |
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a)))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (+ (* 1/2 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (/ (* (sin (* -1 a)) (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (cos (* -1 a))))))) (* -1/6 (/ r (cos (* -1 a))))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a)))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))> |
#<alt (/ (* r (sin b)) (cos (* -1 b)))> |
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (* -1 b))))) (pow (cos (* -1 b)) 2))) (/ (* r (sin b)) (cos (* -1 b))))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b))))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))> |
#<alt (* -1 (/ r (cos a)))> |
#<alt (+ (* -1 (/ r (cos a))) (* -1 (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))))))> |
#<alt (+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (+ (* -1/2 (/ r (cos a))) (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))))))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (- a (* -1 b)))))> |
#<alt (* -1 (/ r (cos (- a (* -1 b)))))> |
#<alt (* -1 (/ r (cos (- a (* -1 b)))))> |
#<alt (* -1 (/ r (cos (- a (* -1 b)))))> |
#<alt (* -1 (/ r (cos b)))> |
#<alt (+ (* -1 (/ r (cos b))) (* -1 (/ (* a (* r (sin b))) (pow (cos b) 2))))> |
#<alt (+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))))))> |
#<alt (+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (+ (* -1/2 (/ r (cos b))) (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))))))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (- b (* -1 a)))))> |
#<alt (* -1 (/ r (cos (- b (* -1 a)))))> |
#<alt (* -1 (/ r (cos (- b (* -1 a)))))> |
#<alt (* -1 (/ r (cos (- b (* -1 a)))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 (/ r (cos (+ a b))))> |
#<alt (* -1 b)> |
#<alt (* b (- (* 1/6 (pow b 2)) 1))> |
#<alt (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))> |
#<alt (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (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 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 (/ -1 b)> |
#<alt (/ (- (* -1/6 (pow b 2)) 1) b)> |
#<alt (/ (- (* -1/6 (pow b 2)) 1) b)> |
#<alt (/ (- (* -1/6 (pow b 2)) 1) b)> |
#<alt (* -1/6 b)> |
#<alt (* -1 (* b (+ 1/6 (/ 1 (pow b 2)))))> |
#<alt (* -1 (* b (+ 1/6 (/ 1 (pow b 2)))))> |
#<alt (* -1 (* b (+ 1/6 (/ 1 (pow b 2)))))> |
#<alt (* -1/6 b)> |
#<alt (* -1 (* b (+ 1/6 (/ 1 (pow b 2)))))> |
#<alt (* -1 (* b (+ 1/6 (/ 1 (pow b 2)))))> |
#<alt (* -1 (* b (+ 1/6 (/ 1 (pow b 2)))))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))> |
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))> |
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))> |
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))> |
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<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 (/ (- (* -1/6 (pow b 2)) 1) b)> |
#<alt (/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b)> |
#<alt (/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) b)> |
#<alt (/ -1 (sin b))> |
#<alt (/ -1 (sin b))> |
#<alt (/ -1 (sin b))> |
#<alt (/ -1 (sin b))> |
#<alt (/ -1 (sin b))> |
#<alt (/ -1 (sin b))> |
#<alt (/ -1 (sin b))> |
#<alt (/ -1 (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 (* -1/6 b)> |
#<alt (* -1/6 b)> |
#<alt (* -1/6 b)> |
#<alt (* -1/6 b)> |
#<alt (* -1/6 b)> |
#<alt (* -1/6 b)> |
#<alt (* -1/6 b)> |
#<alt (* -1/6 b)> |
#<alt (* -1/6 b)> |
#<alt (* -1/6 b)> |
#<alt (* -1/6 b)> |
#<alt (* -1/6 b)> |
138 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | a | @ | inf | (* (/ r (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b)) |
| 1.0ms | r | @ | 0 | (/ (* r (sin b)) (cos (/ 1 (/ -1 (+ b a))))) |
| 1.0ms | a | @ | -inf | (* (/ r (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b)) |
| 1.0ms | b | @ | inf | (* (/ r (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b)) |
| 1.0ms | b | @ | -inf | (* (/ r (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b)) |
| 1× | egg-herbie |
| 8 460× | lower-fma.f64 |
| 8 460× | lower-fma.f32 |
| 7 010× | lower-*.f64 |
| 7 010× | lower-*.f32 |
| 1 776× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 507 | 6707 |
| 1 | 1590 | 6435 |
| 2 | 5491 | 6344 |
| 0 | 8887 | 6149 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (cos a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
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(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
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(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(cos b) |
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(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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))) |
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(/ (* 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)) |
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(+ (* 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) (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)))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(cos 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 a) |
(+ (* -1 a) (* -1 b)) |
(+ (* -1 a) (* -1 b)) |
(+ (* -1 a) (* -1 b)) |
(* -1 b) |
(* b (- (* -1 (/ a b)) 1)) |
(* b (- (* -1 (/ a b)) 1)) |
(* b (- (* -1 (/ a b)) 1)) |
(* -1 b) |
(* -1 (* b (+ 1 (/ a b)))) |
(* -1 (* b (+ 1 (/ a b)))) |
(* -1 (* b (+ 1 (/ a b)))) |
(* -1 b) |
(+ (* -1 a) (* -1 b)) |
(+ (* -1 a) (* -1 b)) |
(+ (* -1 a) (* -1 b)) |
(* -1 a) |
(* a (- (* -1 (/ b a)) 1)) |
(* a (- (* -1 (/ b a)) 1)) |
(* a (- (* -1 (/ b a)) 1)) |
(* -1 a) |
(* -1 (* a (+ 1 (/ b a)))) |
(* -1 (* a (+ 1 (/ b a)))) |
(* -1 (* a (+ 1 (/ b a)))) |
(cos (* -1 a)) |
(+ (cos (* -1 a)) (* b (sin (* -1 a)))) |
(+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a)))))) |
(+ (cos (* -1 a)) (* b (- (* b (+ (* -1/2 (cos (* -1 a))) (* -1/6 (* b (sin (* -1 a)))))) (* -1 (sin (* -1 a)))))) |
(cos (* -1 (+ a b))) |
(cos (* -1 (+ a b))) |
(cos (* -1 (+ a b))) |
(cos (* -1 (+ a b))) |
(cos (* -1 (- a (* -1 b)))) |
(cos (* -1 (- a (* -1 b)))) |
(cos (* -1 (- a (* -1 b)))) |
(cos (* -1 (- a (* -1 b)))) |
(cos (* -1 b)) |
(+ (cos (* -1 b)) (* a (sin (* -1 b)))) |
(+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b)))))) |
(+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -1 b)))))) |
(cos (* -1 (+ a b))) |
(cos (* -1 (+ a b))) |
(cos (* -1 (+ a b))) |
(cos (* -1 (+ a b))) |
(cos (* -1 (- b (* -1 a)))) |
(cos (* -1 (- b (* -1 a)))) |
(cos (* -1 (- b (* -1 a)))) |
(cos (* -1 (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (* -1 (+ a b)))) |
(/ (* r (sin b)) (cos (* -1 (+ a b)))) |
(/ (* r (sin b)) (cos (* -1 (+ a b)))) |
(/ (* r (sin b)) (cos (* -1 (+ a b)))) |
(/ (* r (sin b)) (cos (* -1 (+ a b)))) |
(/ (* r (sin b)) (cos (* -1 (+ a b)))) |
(/ (* r (sin b)) (cos (* -1 (+ a b)))) |
(/ (* r (sin b)) (cos (* -1 (+ a b)))) |
(/ (* r (sin b)) (cos (* -1 (+ a b)))) |
(/ (* r (sin b)) (cos (* -1 (+ a b)))) |
(/ (* r (sin b)) (cos (* -1 (+ a b)))) |
(/ (* r (sin b)) (cos (* -1 (+ a b)))) |
(/ (* b r) (cos (* -1 a))) |
(* b (+ (* -1 (/ (* b (* r (sin (* -1 a)))) (pow (cos (* -1 a)) 2))) (/ r (cos (* -1 a))))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (+ (* 1/2 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (/ (* (sin (* -1 a)) (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (cos (* -1 a))))))) (* -1/6 (/ r (cos (* -1 a))))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a))))) |
(/ (* r (sin b)) (cos (* -1 (+ a b)))) |
(/ (* r (sin b)) (cos (* -1 (+ a b)))) |
(/ (* r (sin b)) (cos (* -1 (+ a b)))) |
(/ (* r (sin b)) (cos (* -1 (+ a b)))) |
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b))))) |
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b))))) |
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b))))) |
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b))))) |
(/ (* r (sin b)) (cos (* -1 b))) |
(+ (* -1 (/ (* a (* r (* (sin b) (sin (* -1 b))))) (pow (cos (* -1 b)) 2))) (/ (* r (sin b)) (cos (* -1 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b)))) |
(/ (* r (sin b)) (cos (* -1 (+ a b)))) |
(/ (* r (sin b)) (cos (* -1 (+ a b)))) |
(/ (* r (sin b)) (cos (* -1 (+ a b)))) |
(/ (* r (sin b)) (cos (* -1 (+ a b)))) |
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a))))) |
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a))))) |
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a))))) |
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a))))) |
(* -1 (/ r (cos a))) |
(+ (* -1 (/ r (cos a))) (* -1 (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))))) |
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (+ (* -1/2 (/ r (cos a))) (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a))))))))))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (/ r (cos (- a (* -1 b))))) |
(* -1 (/ r (cos b))) |
(+ (* -1 (/ r (cos b))) (* -1 (/ (* a (* r (sin b))) (pow (cos b) 2)))) |
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))))) |
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (+ (* -1/2 (/ r (cos b))) (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b))))))))))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(* -1 (/ r (cos (- b (* -1 a))))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 (/ r (cos (+ a b)))) |
(* -1 b) |
(* b (- (* 1/6 (pow b 2)) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ -1 b) |
(/ (- (* -1/6 (pow b 2)) 1) b) |
(/ (- (* -1/6 (pow b 2)) 1) b) |
(/ (- (* -1/6 (pow b 2)) 1) b) |
(* -1/6 b) |
(* -1 (* b (+ 1/6 (/ 1 (pow b 2))))) |
(* -1 (* b (+ 1/6 (/ 1 (pow b 2))))) |
(* -1 (* b (+ 1/6 (/ 1 (pow b 2))))) |
(* -1/6 b) |
(* -1 (* b (+ 1/6 (/ 1 (pow b 2))))) |
(* -1 (* b (+ 1/6 (/ 1 (pow b 2))))) |
(* -1 (* b (+ 1/6 (/ 1 (pow b 2))))) |
(cos a) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(cos b) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
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) |
(/ (- (* -1/6 (pow b 2)) 1) b) |
(/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b) |
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) b) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(* -1/6 b) |
(* -1/6 b) |
(* -1/6 b) |
(* -1/6 b) |
(* -1/6 b) |
(* -1/6 b) |
(* -1/6 b) |
(* -1/6 b) |
(* -1/6 b) |
(* -1/6 b) |
(* -1/6 b) |
(* -1/6 b) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 (*.f64 r b) (cos.f64 a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (fma.f64 (*.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* 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 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 (neg.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 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 a (/.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 (- (* -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 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) #s(literal 1/2 binary64))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 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 a (fma.f64 (fma.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (neg.f64 a) (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 r (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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
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(cos b) |
(cos.f64 b) |
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b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
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(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
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(* 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.f64 b) |
(sin b) |
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(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
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(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(/ -1 (sin b)) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(/ -1 (sin b)) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(/ -1 (sin b)) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
(/ -1 (sin b)) |
(/.f64 #s(literal -1 binary64) (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 (sin.f64 (neg.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 b (fma.f64 b (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b (sin.f64 a)))) (sin.f64 (neg.f64 a))) (cos.f64 a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 a (-.f64 (*.f64 a (fma.f64 (cos.f64 b) #s(literal -1/2 binary64) (*.f64 a (*.f64 (sin.f64 b) #s(literal 1/6 binary64))))) (sin.f64 b)) (cos.f64 b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(* -1/6 b) |
(*.f64 b #s(literal -1/6 binary64)) |
(* -1/6 b) |
(*.f64 b #s(literal -1/6 binary64)) |
(* -1/6 b) |
(*.f64 b #s(literal -1/6 binary64)) |
(* -1/6 b) |
(*.f64 b #s(literal -1/6 binary64)) |
(* -1/6 b) |
(*.f64 b #s(literal -1/6 binary64)) |
(* -1/6 b) |
(*.f64 b #s(literal -1/6 binary64)) |
(* -1/6 b) |
(*.f64 b #s(literal -1/6 binary64)) |
(* -1/6 b) |
(*.f64 b #s(literal -1/6 binary64)) |
(* -1/6 b) |
(*.f64 b #s(literal -1/6 binary64)) |
(* -1/6 b) |
(*.f64 b #s(literal -1/6 binary64)) |
(* -1/6 b) |
(*.f64 b #s(literal -1/6 binary64)) |
(* -1/6 b) |
(*.f64 b #s(literal -1/6 binary64)) |
| 4 680× | lower-/.f32 |
| 4 666× | lower-/.f64 |
| 3 914× | lower-fma.f32 |
| 3 910× | lower-fma.f64 |
| 3 812× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 226 |
| 0 | 79 | 177 |
| 1 | 274 | 172 |
| 2 | 1640 | 172 |
| 0 | 8266 | 172 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(sin.f64 b) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r b) (cos a)) (*.f64 r b)) |
(*.f64 r b) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) |
(*.f64 r (sin.f64 b)) |
#s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))) |
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)) |
(pow.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 a) |
#s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) |
(cos.f64 (+.f64 b a)) |
(*.f64 b #s(literal -1/6 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.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 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b))))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a))))) |
(*.f64 (*.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 r (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)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (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)) (neg.f64 (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 #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 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (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 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a))))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 r (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 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))))) |
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (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 #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 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))))))) |
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (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 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a))))))) |
(*.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 (/.f64 r (-.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 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.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)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.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)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a))))))) |
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))))) |
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (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 (/.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 r (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))) |
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(fma.f64 #s(literal -1 binary64) b (*.f64 #s(literal -1 binary64) a)) |
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 #s(literal 0 binary64) (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 b a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a))) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 b a))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 b a))) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 b a))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(literal 0 binary64)) (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (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 #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 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (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 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a)))))) |
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) |
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.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 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(*.f64 b #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) b) |
Compiled 37 603 to 2 782 computations (92.6% saved)
79 alts after pruning (72 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 412 | 26 | 1 438 |
| Fresh | 16 | 46 | 62 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 430 | 79 | 1 509 |
| Status | Accuracy | Program |
|---|---|---|
| 28.1% | (pow.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) | |
| 52.4% | (/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) | |
| ▶ | 52.4% | (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
| ✓ | 99.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
| 68.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))) | |
| 66.0% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 b (sin.f64 a)))))) | |
| 62.3% | (/.f64 (*.f64 r (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))))) | |
| 98.7% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))))) | |
| 98.7% | (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.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 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))))) | |
| 20.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 (neg.f64 (+.f64 b a))))) #s(literal -1 binary64)))) | |
| 41.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (/.f64 (-.f64 a b) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 (neg.f64 (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))))) | |
| 33.4% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(approx (neg (- a b)) (neg.f64 a))))) | |
| 46.4% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) (-.f64 a b)) (neg.f64 (-.f64 a b))))) | |
| ✓ | 78.0% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 72.4% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (-.f64 a b) (*.f64 (+.f64 b a) (/.f64 #s(literal -1 binary64) (-.f64 a b)))))) | |
| 20.7% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 (+.f64 b a)))) #s(literal -1 binary64))))) | |
| 64.1% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (* (+ b a) (- a b)) (neg (- a b))) (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 a b)))))) | |
| 59.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))) | |
| 52.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (fma.f64 b (sin.f64 (neg.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) | |
| 59.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) | |
| 53.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) | |
| 61.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))) | |
| ✓ | 55.9% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) |
| 36.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 39.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) | |
| 51.2% | (/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) | |
| 77.9% | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) | |
| 37.9% | (/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) | |
| 50.2% | (/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))) | |
| 51.8% | (/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b))) | |
| 51.6% | (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) | |
| 77.9% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 77.6% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) | |
| 77.6% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) | |
| 55.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (*.f64 r (sin.f64 b)))) | |
| 52.1% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) | |
| 42.1% | (*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) | |
| ▶ | 99.4% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64))) |
| 71.0% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) (neg.f64 r)) #s(literal -1 binary64))) | |
| 77.8% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))) | |
| 55.8% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (cos (+ b a)) (neg r)) -1) (/.f64 (neg.f64 r) (cos.f64 a)))) | |
| 61.1% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (cos (+ b a)) (neg r)) -1) (neg.f64 (/.f64 r (cos.f64 b))))) | |
| 77.9% | (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 r #s(literal -1 binary64))) | |
| 77.8% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) #s(literal 1 binary64)) (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b)))) | |
| 52.3% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) | |
| 98.8% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 77.8% | (*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) | |
| 78.0% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) | |
| 55.9% | (*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r) | |
| ✓ | 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)) |
| 62.2% | (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (sin.f64 b)) | |
| ▶ | 56.8% | (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (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 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))) (sin.f64 b)) | |
| 98.8% | (*.f64 (/.f64 r (-.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 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))))) | |
| 77.9% | (*.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))))) | |
| ▶ | 71.1% | (*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b)) |
| ✓ | 77.9% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
| 64.1% | (*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b)) | |
| 61.1% | (*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (sin.f64 b)) | |
| 55.8% | (*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) (sin.f64 b)) | |
| 77.9% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b)) | |
| 55.5% | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) | |
| 55.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (*.f64 r (sin.f64 b))) | |
| 51.6% | (*.f64 #s(approx (pow (/ -1 (sin b)) -1) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) | |
| 77.9% | (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) | |
| 25.3% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) | |
| 51.9% | #s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a)))) | |
| 51.9% | #s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 b (fma.f64 (*.f64 r (sin.f64 a)) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) | |
| ✓ | 51.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
| 34.2% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 34.2% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 34.2% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 51.6% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))) | |
| 51.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b))) | |
| 51.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) | |
| 51.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))) | |
| 23.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r b))) #s(literal -1 binary64)))) | |
| ▶ | 31.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
| ✓ | 35.6% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
Compiled 3 023 to 1 857 computations (38.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 b) | |
| cost-diff | 0 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))) | |
| cost-diff | 0 | (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) | |
| cost-diff | 0 | (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (sin.f64 b)) | |
| cost-diff | 0 | (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) | |
| cost-diff | 0 | (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) | |
| cost-diff | 0 | (*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b)) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))) | |
| cost-diff | 0 | (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b) | |
| cost-diff | 0 | #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) | |
| cost-diff | 1088 | (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) | |
| cost-diff | 0 | #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))) | |
| cost-diff | 0 | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) | |
| cost-diff | 128 | (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) | |
| cost-diff | 128 | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64))) | |
| cost-diff | 6464 | (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64)) | |
| cost-diff | 7040 | (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) |
| 2 940× | lower-fma.f32 |
| 2 932× | lower-fma.f64 |
| 2 394× | lower-*.f32 |
| 2 378× | lower-*.f64 |
| 1 238× | div-sub |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 378 |
| 0 | 91 | 362 |
| 1 | 142 | 358 |
| 2 | 236 | 352 |
| 3 | 479 | 346 |
| 4 | 1208 | 346 |
| 5 | 2411 | 346 |
| 6 | 3882 | 346 |
| 7 | 6238 | 346 |
| 8 | 7278 | 346 |
| 9 | 7665 | 346 |
| 10 | 7769 | 346 |
| 11 | 7968 | 346 |
| 0 | 8004 | 346 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
#s(literal -1 binary64) |
(sin.f64 b) |
b |
(pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
(neg.f64 r) |
r |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 a a) |
a |
#s(literal 1 binary64) |
(*.f64 r b) |
r |
b |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) |
#s(literal 1 binary64) |
#s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) |
(/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b) |
(fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) |
b |
(*.f64 b #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
#s(literal -1 binary64) |
(/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
a |
(neg.f64 r) |
r |
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b)) |
(/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) |
r |
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 b a)) |
(+.f64 b a) |
b |
a |
(sin.f64 b) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (sin.f64 b)) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) |
r |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))) |
(sin.f64 b) |
b |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
#s(approx (* (cos b) (cos a)) (cos.f64 a)) |
(cos.f64 a) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) |
(sin.f64 (neg.f64 b)) |
(/.f64 #s(literal -1 binary64) (sin.f64 b)) |
#s(literal -1 binary64) |
(sin.f64 b) |
b |
(pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64)) |
(/.f64 r (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) |
(/.f64 (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) r) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
(neg.f64 r) |
r |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 b (fma.f64 a (*.f64 r (*.f64 a #s(literal 1/2 binary64))) r)))) |
#s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))) |
#s(approx (/ (* r b) (cos a)) (*.f64 b (fma.f64 a (*.f64 r (*.f64 a #s(literal 1/2 binary64))) r))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 b (fma.f64 a (*.f64 r (*.f64 a #s(literal 1/2 binary64))) r)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) |
(fma.f64 a (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 a a) |
a |
#s(literal 1 binary64) |
(*.f64 r b) |
(*.f64 b r) |
r |
b |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(/.f64 r (*.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) |
#s(literal 1 binary64) |
#s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) |
(/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b) |
(fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) |
b |
(*.f64 b #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
#s(literal -1 binary64) |
(/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
a |
(neg.f64 r) |
r |
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
r |
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) |
(cos.f64 (+.f64 b a)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))) |
(+.f64 b a) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 b a)) |
(+.f64 b a) |
b |
a |
(sin.f64 b) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) |
(/.f64 r (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
r |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))) |
(-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(sin.f64 b) |
b |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
#s(approx (* (cos b) (cos a)) (cos.f64 a)) |
(cos.f64 a) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.10672628162065376 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))) | |
| accuracy | 0.1953125 | (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) | |
| accuracy | 0.19921875 | (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (sin.f64 b)) | |
| accuracy | 28.157871806496743 | #s(approx (* (cos b) (cos a)) (cos.f64 a)) | |
| accuracy | 0.1875 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))) | |
| accuracy | 0.1953125 | (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) | |
| accuracy | 0.19921875 | (*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b)) | |
| accuracy | 14.104303360806092 | (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) | |
| accuracy | 0.3359375 | (*.f64 b #s(literal -1/6 binary64)) | |
| accuracy | 14.014148645461335 | (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b) | |
| accuracy | 14.104303360806092 | (cos.f64 (+.f64 b a)) | |
| accuracy | 30.35622402604904 | #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) | |
| accuracy | 0 | (*.f64 a a) | |
| accuracy | 9.232044991058986 | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) | |
| accuracy | 30.362353499421904 | #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))) | |
| accuracy | 30.725032206885096 | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) | |
| accuracy | 0.18359375 | (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) | |
| accuracy | 0.19921875 | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64))) | |
| accuracy | 0.2109375 | (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64)) | |
| accuracy | 0.24609375 | (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) |
| 239.0ms | 193× | 1 | valid |
| 25.0ms | 63× | 0 | valid |
Compiled 323 to 49 computations (84.8% saved)
ival-div: 61.0ms (27.9% of total)ival-cos: 53.0ms (24.2% of total)ival-mult: 28.0ms (12.8% of total)ival-sin: 28.0ms (12.8% of total)adjust: 16.0ms (7.3% of total)ival-pow: 15.0ms (6.9% of total)ival-add: 9.0ms (4.1% of total)const: 6.0ms (2.7% of total)ival-neg: 2.0ms (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 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64))> |
#<alt (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64))> |
#<alt (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64)))> |
#<alt (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r))> |
#<alt #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))> |
#<alt #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))> |
#<alt (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))> |
#<alt (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64))> |
#<alt (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))> |
#<alt (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))> |
#<alt #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))> |
#<alt (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))> |
#<alt (*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b))> |
#<alt (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))> |
#<alt (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))> |
#<alt (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (sin.f64 b))> |
#<alt (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))> |
#<alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))> |
#<alt (sin.f64 b)> |
#<alt (*.f64 a a)> |
#<alt (cos.f64 (+.f64 b a))> |
#<alt (*.f64 b #s(literal -1/6 binary64))> |
#<alt #s(approx (* (cos b) (cos a)) (cos.f64 a))> |
| Outputs |
|---|
#<alt (* -1 b)> |
#<alt (* b (- (* 1/6 (pow b 2)) 1))> |
#<alt (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))> |
#<alt (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (sin b))> |
#<alt (* -1 (/ r (cos a)))> |
#<alt (+ (* -1 (/ r (cos a))) (* -1 (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))))))> |
#<alt (+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (+ (* -1/2 (/ r (cos a))) (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))))))))> |
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))> |
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))> |
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))> |
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))> |
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))> |
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))> |
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))> |
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))> |
#<alt (* -1 (/ r (cos b)))> |
#<alt (+ (* -1 (/ r (cos b))) (* -1 (/ (* a (* r (sin b))) (pow (cos b) 2))))> |
#<alt (+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))))))> |
#<alt (+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (+ (* -1/2 (/ r (cos b))) (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))))))))> |
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))> |
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))> |
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))> |
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))> |
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))> |
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))> |
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))> |
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))> |
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))> |
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))> |
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))> |
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))> |
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))> |
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))> |
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))> |
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))> |
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))> |
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))> |
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))> |
#<alt (* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (* -1 (/ (cos a) r))> |
#<alt (+ (* -1 (/ (cos a) r)) (/ (* b (sin a)) r))> |
#<alt (+ (* -1 (/ (cos a) r)) (* b (+ (* 1/2 (/ (* b (cos a)) r)) (/ (sin a) r))))> |
#<alt (+ (* -1 (/ (cos a) r)) (* b (+ (* b (+ (* -1/6 (/ (* b (sin a)) r)) (* 1/2 (/ (cos a) r)))) (/ (sin a) r))))> |
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))> |
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))> |
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))> |
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))> |
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))> |
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))> |
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))> |
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))> |
#<alt (* -1 (/ (cos b) r))> |
#<alt (+ (* -1 (/ (cos b) r)) (/ (* a (sin b)) r))> |
#<alt (+ (* -1 (/ (cos b) r)) (* a (+ (* 1/2 (/ (* a (cos b)) r)) (/ (sin b) r))))> |
#<alt (+ (* -1 (/ (cos b) r)) (* a (+ (* a (+ (* -1/6 (/ (* a (sin b)) r)) (* 1/2 (/ (cos b) r)))) (/ (sin b) r))))> |
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))> |
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))> |
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))> |
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))> |
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))> |
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))> |
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))> |
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))> |
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))> |
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))> |
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))> |
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))> |
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))> |
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))> |
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))> |
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))> |
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))> |
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))> |
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))> |
#<alt (* -1 (/ (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) r))> |
#<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))))> |
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#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<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)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (cos b)> |
#<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)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 (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 (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 (* -1/6 b)> |
#<alt (* -1/6 b)> |
#<alt (* -1/6 b)> |
#<alt (* -1/6 b)> |
#<alt (* -1/6 b)> |
#<alt (* -1/6 b)> |
#<alt (* -1/6 b)> |
#<alt (* -1/6 b)> |
#<alt (* -1/6 b)> |
#<alt (* -1/6 b)> |
#<alt (* -1/6 b)> |
#<alt (* -1/6 b)> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))> |
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))> |
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))> |
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))> |
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
153 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | 0 | (/ (+ (* b (* b -1/6)) -1) b) |
| 1.0ms | r | @ | 0 | (* (+ (* 1/2 (* a a)) 1) (* r b)) |
| 1.0ms | b | @ | 0 | (* (+ (* 1/2 (* a a)) 1) (* r b)) |
| 1.0ms | b | @ | -inf | (/ (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (neg r)) |
| 1.0ms | a | @ | -inf | (/ (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (neg r)) |
| 1× | egg-herbie |
| 9 542× | lower-fma.f64 |
| 9 542× | lower-fma.f32 |
| 7 500× | lower-*.f64 |
| 7 500× | lower-*.f32 |
| 2 590× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 401 | 8068 |
| 1 | 1278 | 7619 |
| 2 | 4183 | 7550 |
| 0 | 8541 | 7292 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 b) |
(* b (- (* 1/6 (pow b 2)) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (/ r (cos a))) |
(+ (* -1 (/ r (cos a))) (* -1 (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))))) |
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (+ (* -1/2 (/ r (cos a))) (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a))))))))))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(* -1 (/ r (cos b))) |
(+ (* -1 (/ r (cos b))) (* -1 (/ (* a (* r (sin b))) (pow (cos b) 2)))) |
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))))) |
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (+ (* -1/2 (/ r (cos b))) (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b))))))))))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
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(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(* -1 (/ (cos a) r)) |
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(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
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(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
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(/ (* 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))))) |
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(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
1 |
(+ 1 (* 1/2 (pow a 2))) |
(+ 1 (* 1/2 (pow a 2))) |
(+ 1 (* 1/2 (pow a 2))) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
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(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos b)) |
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(+ (* 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)))) |
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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))) |
(* -1 b) |
(* b (- (* 1/6 (pow b 2)) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(* -1 (sin b)) |
(/ -1 b) |
(/ (- (* -1/6 (pow b 2)) 1) b) |
(/ (- (* (pow b 2) (- (* -7/360 (pow b 2)) 1/6)) 1) b) |
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -31/15120 (pow b 2)) 7/360)) 1/6)) 1) b) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 (sin b)) |
(/ -1 b) |
(/ (- (* -1/6 (pow b 2)) 1) b) |
(/ (- (* -1/6 (pow b 2)) 1) b) |
(/ (- (* -1/6 (pow b 2)) 1) b) |
(* -1/6 b) |
(* -1 (* b (+ 1/6 (/ 1 (pow b 2))))) |
(* -1 (* b (+ 1/6 (/ 1 (pow b 2))))) |
(* -1 (* b (+ 1/6 (/ 1 (pow b 2))))) |
(* -1/6 b) |
(* -1 (* b (+ 1/6 (/ 1 (pow b 2))))) |
(* -1 (* b (+ 1/6 (/ 1 (pow b 2))))) |
(* -1 (* b (+ 1/6 (/ 1 (pow b 2))))) |
a |
(+ a b) |
(+ a b) |
(+ a b) |
b |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
b |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
b |
(+ a b) |
(+ a b) |
(+ a b) |
a |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
a |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(/ (* r (sin b)) (cos (+ a b))) |
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(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
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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))) |
(/ (* 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 (cos (+ a b))) |
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(/ r (cos (+ a b))) |
(/ r (cos a)) |
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(+ (* 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))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* 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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (cos b)) |
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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) |
(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) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(* -1/6 b) |
(* -1/6 b) |
(* -1/6 b) |
(* -1/6 b) |
(* -1/6 b) |
(* -1/6 b) |
(* -1/6 b) |
(* -1/6 b) |
(* -1/6 b) |
(* -1/6 b) |
(* -1/6 b) |
(* -1/6 b) |
(cos a) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(cos b) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
| Outputs |
|---|
(* -1 b) |
(neg.f64 b) |
(* b (- (* 1/6 (pow b 2)) 1)) |
(*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1)) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1)) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(* -1 (sin b)) |
(neg.f64 (sin.f64 b)) |
(* -1 (sin b)) |
(neg.f64 (sin.f64 b)) |
(* -1 (sin b)) |
(neg.f64 (sin.f64 b)) |
(* -1 (sin b)) |
(neg.f64 (sin.f64 b)) |
(* -1 (sin b)) |
(neg.f64 (sin.f64 b)) |
(* -1 (sin b)) |
(neg.f64 (sin.f64 b)) |
(* -1 (sin b)) |
(neg.f64 (sin.f64 b)) |
(* -1 (sin b)) |
(neg.f64 (sin.f64 b)) |
(* -1 (/ r (cos a))) |
(neg.f64 (/.f64 r (cos.f64 a))) |
(+ (* -1 (/ r (cos a))) (* -1 (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(neg.f64 (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))))) |
(-.f64 (neg.f64 (*.f64 b (fma.f64 b (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))) (/.f64 r (cos.f64 a))) |
(+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (+ (* -1/2 (/ r (cos a))) (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a))))))))))) |
(fma.f64 b (fma.f64 b (fma.f64 b (fma.f64 (sin.f64 a) (/.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (neg.f64 r)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (cos.f64 a)) (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (neg.f64 r)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (neg.f64 (*.f64 r (sin.f64 a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 (/.f64 r (cos.f64 a)))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(* -1 (/ r (cos b))) |
(neg.f64 (/.f64 r (cos.f64 b))) |
(+ (* -1 (/ r (cos b))) (* -1 (/ (* a (* r (sin b))) (pow (cos b) 2)))) |
(neg.f64 (fma.f64 a (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 r (cos.f64 b)))) |
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))))) |
(-.f64 (neg.f64 (*.f64 a (fma.f64 (sin.f64 b) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (fma.f64 (/.f64 r (cos.f64 b)) #s(literal 1/2 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))))) (/.f64 r (cos.f64 b))) |
(+ (* -1 (/ r (cos b))) (* a (+ (* -1 (/ (* r (sin b)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (+ (* -1/2 (/ r (cos b))) (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b))))))))))) |
(fma.f64 a (-.f64 (*.f64 a (fma.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 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))) (cos.f64 b))) (-.f64 (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 b)) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (neg.f64 (/.f64 r (cos.f64 b)))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(* -1 (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))) |
(/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
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(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
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(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
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(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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))) |
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(fma.f64 b (fma.f64 b (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
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(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
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(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
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(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
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(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
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(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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))) |
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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))) |
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(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
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(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
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(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
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(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
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(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
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(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
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(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
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(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(cos a) |
(cos.f64 a) |
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(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 a))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (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)) |
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(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
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(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
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(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
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(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
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(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(cos b) |
(cos.f64 b) |
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(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 b) a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (neg.f64 (sin.f64 b))) (cos.f64 b)) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
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(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 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 (*.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 (*.f64 b 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) |
(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) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 a))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 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 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 b) a) (*.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)) |
(* -1/6 b) |
(*.f64 b #s(literal -1/6 binary64)) |
(* -1/6 b) |
(*.f64 b #s(literal -1/6 binary64)) |
(* -1/6 b) |
(*.f64 b #s(literal -1/6 binary64)) |
(* -1/6 b) |
(*.f64 b #s(literal -1/6 binary64)) |
(* -1/6 b) |
(*.f64 b #s(literal -1/6 binary64)) |
(* -1/6 b) |
(*.f64 b #s(literal -1/6 binary64)) |
(* -1/6 b) |
(*.f64 b #s(literal -1/6 binary64)) |
(* -1/6 b) |
(*.f64 b #s(literal -1/6 binary64)) |
(* -1/6 b) |
(*.f64 b #s(literal -1/6 binary64)) |
(* -1/6 b) |
(*.f64 b #s(literal -1/6 binary64)) |
(* -1/6 b) |
(*.f64 b #s(literal -1/6 binary64)) |
(* -1/6 b) |
(*.f64 b #s(literal -1/6 binary64)) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 a)) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(fma.f64 (*.f64 b b) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (cos.f64 a)) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b)) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(fma.f64 (*.f64 a a) (*.f64 (cos.f64 b) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (cos.f64 b)) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (*.f64 (cos.f64 b) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (*.f64 a a) (*.f64 a a)))) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
| 4 642× | lower-/.f32 |
| 4 624× | lower-/.f64 |
| 3 864× | lower-*.f32 |
| 3 848× | lower-*.f64 |
| 3 584× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 285 |
| 0 | 91 | 279 |
| 1 | 314 | 234 |
| 2 | 1902 | 234 |
| 0 | 8157 | 234 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) |
#s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) |
(/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))) |
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b)) |
(/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) |
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (sin.f64 b)) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a))) |
(sin.f64 b) |
(*.f64 a a) |
(cos.f64 (+.f64 b a)) |
(*.f64 b #s(literal -1/6 binary64)) |
#s(approx (* (cos b) (cos a)) (cos.f64 a)) |
| Outputs |
|---|
(exp.f64 (log.f64 (neg.f64 (sin.f64 b)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 (sin.f64 b)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 (sin.f64 b)))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (log.f64 (neg.f64 (sin.f64 b)))) #s(literal -1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (sin.f64 b)) |
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 b) #s(literal 1 binary64))) |
(neg.f64 (sin.f64 b)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(/.f64 (sin.f64 b) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(literal 0 binary64) (sin.f64 b))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 (sin.f64 b))))) |
(*.f64 #s(literal -1 binary64) (sin.f64 b)) |
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 b) #s(literal 1 binary64))) |
(*.f64 (sin.f64 b) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 b))) |
(*.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal -2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (cos.f64 (+.f64 b a)))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(literal 1 binary64))) |
(neg.f64 (/.f64 r (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) |
(/.f64 (neg.f64 r) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r #s(literal 1 binary64))) (cos.f64 (+.f64 b a))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) (*.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (*.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 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))) (*.f64 (cos.f64 (+.f64 b a)) r)) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) (*.f64 (cos.f64 (+.f64 b a)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (+.f64 b a)) r))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (*.f64 (cos.f64 (+.f64 b a)) (*.f64 r #s(literal 1 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 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 #s(literal -1 binary64) r))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) #s(literal 3 binary64)) (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (fma.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 r (cos.f64 (+.f64 b a))) (*.f64 (/.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (cos.f64 (+.f64 b a))))))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))) |
(*.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 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (neg.f64 r)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) r) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 r) (+.f64 (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))))) |
(*.f64 (/.f64 (neg.f64 r) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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)))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.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 #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 b) (cos.f64 a)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))))))) |
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(*.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal -1 binary64)) |
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(pow.f64 (*.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64)) (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal -2 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))) |
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(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) |
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(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
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(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.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)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 b) (cos.f64 a)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (neg.f64 (sin.f64 a)) (*.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (neg.f64 (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(/.f64 (-.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 #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)))) (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 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (cos.f64 (-.f64 b a))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 b) (cos.f64 a)) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) |
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (*.f64 (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 b) (cos.f64 a)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(/.f64 (neg.f64 (-.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)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (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 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (neg.f64 (cos.f64 (-.f64 b a)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (neg.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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)))) (/.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 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.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) 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 b) (cos.f64 a)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))))) |
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.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 binary64) (-.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 b #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) b) |
#s(approx (* (cos b) (cos a)) (cos.f64 a)) |
Compiled 38 573 to 3 128 computations (91.9% saved)
96 alts after pruning (87 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 574 | 35 | 1 609 |
| Fresh | 15 | 52 | 67 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 592 | 96 | 1 688 |
| Status | Accuracy | Program |
|---|---|---|
| 28.1% | (pow.f64 (*.f64 (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal -2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) | |
| 52.4% | (/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) | |
| 52.6% | (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 a)))) (neg.f64 r))) | |
| 52.5% | (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (neg.f64 r))) | |
| 36.1% | (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 b)) (neg.f64 r))) | |
| 52.2% | (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (neg.f64 r))) | |
| 77.8% | (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) | |
| 4.4% | (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) #s(approx (/ (+ (* b (* b -1/6)) -1) b) (*.f64 b #s(literal -1/6 binary64))))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) | |
| 52.4% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (neg.f64 r)) (cos.f64 (+.f64 b a))) | |
| 56.8% | (/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| ✓ | 99.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
| 68.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))) | |
| 66.0% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 b (sin.f64 a)))))) | |
| 62.3% | (/.f64 (*.f64 r (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))))) | |
| 98.7% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))))) | |
| 98.7% | (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.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 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))))) | |
| 20.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 (neg.f64 (+.f64 b a))))) #s(literal -1 binary64)))) | |
| 41.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (/.f64 (-.f64 a b) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 (neg.f64 (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))))) | |
| 33.4% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(approx (neg (- a b)) (neg.f64 a))))) | |
| 46.4% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) (-.f64 a b)) (neg.f64 (-.f64 a b))))) | |
| ✓ | 78.0% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 72.4% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (-.f64 a b) (*.f64 (+.f64 b a) (/.f64 #s(literal -1 binary64) (-.f64 a b)))))) | |
| 20.7% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 (+.f64 b a)))) #s(literal -1 binary64))))) | |
| 64.1% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (* (+ b a) (- a b)) (neg (- a b))) (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 a b)))))) | |
| 59.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))) | |
| 52.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (fma.f64 b (sin.f64 (neg.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) | |
| 59.8% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) | |
| 61.2% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))) | |
| ✓ | 55.9% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) |
| 36.4% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 39.7% | (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) | |
| 51.2% | (/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) | |
| 56.8% | (/.f64 (sin.f64 b) (/.f64 (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r)) | |
| 77.9% | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) | |
| 51.8% | (/.f64 #s(approx (/ 1 (/ -1 (sin b))) (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) | |
| 37.9% | (/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) | |
| 50.2% | (/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))) | |
| 51.8% | (/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b))) | |
| 51.6% | (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) | |
| 77.9% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 77.6% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) | |
| 77.6% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) | |
| 55.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (*.f64 r (sin.f64 b)))) | |
| 50.0% | (*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64))) | |
| 42.1% | (*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) | |
| 60.8% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 r)) (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 r r)) #s(literal -1 binary64))) | |
| 71.0% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) (neg.f64 r)) #s(literal -1 binary64))) | |
| 77.8% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r))) | |
| 99.4% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (neg r)) -1) (/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| 61.1% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (neg r)) -1) (neg.f64 (/.f64 r (cos.f64 b))))) | |
| 55.8% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (neg r)) -1) (neg.f64 (/.f64 r (cos.f64 a))))) | |
| 48.6% | (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 (sin.f64 b))))) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64))) | |
| 77.8% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) #s(literal 1 binary64)) (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b)))) | |
| 52.4% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 r #s(literal -1 binary64))) | |
| 49.6% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(literal 0 binary64) (sin.f64 b))))) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64))) | |
| 98.8% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 77.8% | (*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) | |
| 78.0% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) | |
| 55.9% | (*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r) | |
| ✓ | 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)) |
| 62.2% | (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (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) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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)) | |
| 98.8% | (*.f64 (/.f64 r (-.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 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))))) | |
| 77.9% | (*.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))))) | |
| 28.8% | (*.f64 (/.f64 r (cos.f64 (pow.f64 (pow.f64 (+.f64 b a) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sin.f64 b)) | |
| ✓ | 71.1% | (*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b)) |
| ✓ | 77.9% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
| 19.5% | (*.f64 (/.f64 r (cos.f64 (exp.f64 (log.f64 (+.f64 b a))))) (sin.f64 b)) | |
| 64.1% | (*.f64 (/.f64 r (cos.f64 #s(approx (/ 1 (/ 1 (+ b a))) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b)) | |
| 61.1% | (*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (sin.f64 b)) | |
| 55.8% | (*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) (sin.f64 b)) | |
| 56.8% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r)) (sin.f64 b)) | |
| 77.9% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b)) | |
| 52.4% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) (neg.f64 r)) | |
| 55.5% | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) | |
| 55.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (*.f64 r (sin.f64 b))) | |
| 56.8% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) (sin.f64 b)) | |
| 99.5% | (*.f64 (neg.f64 (sin.f64 b)) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64))) | |
| 48.7% | (*.f64 (exp.f64 (log.f64 (neg.f64 (sin.f64 b)))) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64))) | |
| 51.6% | (*.f64 #s(approx (pow (/ -1 (sin b)) -1) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) | |
| 56.8% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 77.9% | (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) | |
| 25.3% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) | |
| 51.9% | #s(approx (/ (/ 1 (/ -1 (sin b))) (/ (cos (+ b a)) (neg r))) (*.f64 b (/.f64 r (cos.f64 a)))) | |
| 51.9% | #s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a)))) | |
| ✓ | 51.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
| 34.2% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 34.2% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 34.2% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 51.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b))) | |
| 51.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))) | |
| 25.9% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r)))))) | |
| ✓ | 31.0% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
| 15.5% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b)))) | |
| ✓ | 35.6% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
| 18.2% | #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64)))))))) |
Compiled 4 784 to 1 747 computations (63.5% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64)))))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (/ 1 (/ -1 (sin b))) (/ (cos (+ b a)) (neg r))) (*.f64 b (/.f64 r (cos.f64 a)))) |
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(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 (neg.f64 (+.f64 b a))))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal -2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 (neg.f64 (sin.f64 b)) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (neg r)) -1) (/.f64 (neg.f64 r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 r)) (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 r r)) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 a b))))) |
(*.f64 (exp.f64 (log.f64 (neg.f64 (sin.f64 b)))) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 (sin.f64 b))))) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(literal 0 binary64) (sin.f64 b))))) (pow.f64 (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 r)) #s(literal -1 binary64))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.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) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 (*.f64 r (sin.f64 b)) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.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 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))))) |
(*.f64 (/.f64 r (-.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 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (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 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
4 calls:
| 86.0ms | b |
| 58.0ms | a |
| 54.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 39.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | r |
| 99.6% | 1 | a |
| 99.6% | 1 | b |
| 99.6% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64)))))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (/ 1 (/ -1 (sin b))) (/ (cos (+ b a)) (neg r))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ 1 (/ -1 (sin b))) (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) |
(*.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(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) #s(approx (/ (+ (* b (* b -1/6)) -1) b) (*.f64 b #s(literal -1/6 binary64))))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) (neg.f64 r)) |
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (neg.f64 r)) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (neg.f64 r))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 b)) (neg.f64 r))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 r #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (*.f64 r (sin.f64 b))) |
(*.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 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (*.f64 r (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) |
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 #s(approx (/ 1 (/ 1 (+ b a))) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (* (+ b a) (- a b)) (neg (- a b))) (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 a b)))))) |
(*.f64 #s(approx (pow (/ -1 (sin b)) -1) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(approx (neg (- a b)) (neg.f64 a))))) |
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (-.f64 a b) (*.f64 (+.f64 b a) (/.f64 #s(literal -1 binary64) (-.f64 a b)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) #s(literal 1 binary64)) (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (neg.f64 r))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (neg.f64 (+.f64 b a)) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))) |
(*.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))) (fma.f64 b (+.f64 b a) (*.f64 a a))))) (sin.f64 b)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 a)))) (neg.f64 r))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (* (+ b a) (- a b)) (neg (- a b))) (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (/.f64 (-.f64 a b) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 (neg.f64 (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r b))) #s(literal -1 binary64)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a)))))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (cos (+ b a)) (neg r)) -1) (neg.f64 (/.f64 r (cos.f64 b))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (cos (+ b a)) (neg r)) -1) (/.f64 (neg.f64 r) (cos.f64 a)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (neg r)) -1) (neg.f64 (/.f64 r (cos.f64 a))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (neg r)) -1) (neg.f64 (/.f64 r (cos.f64 b))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 r #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (fma.f64 b (sin.f64 (neg.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))) |
(*.f64 (pow.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (/.f64 r (cos.f64 (exp.f64 (log.f64 (+.f64 b a))))) (sin.f64 b)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 r (cos.f64 (pow.f64 (pow.f64 (+.f64 b a) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sin.f64 b)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 (+.f64 b a)))) #s(literal -1 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) (sin.f64 b)) |
(/.f64 (*.f64 r (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 (*.f64 r (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 (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))) |
(/.f64 (sin.f64 b) (/.f64 (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r)) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) |
(/.f64 (*.f64 r (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 (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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))))) |
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 b (fma.f64 (*.f64 r (sin.f64 a)) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) |
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a 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 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (log.f64 (neg.f64 (sin.f64 b)))) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 (neg.f64 (+.f64 b a))))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal -2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) |
| Outputs |
|---|
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) |
4 calls:
| 88.0ms | a |
| 62.0ms | b |
| 34.0ms | r |
| 33.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | r |
| 99.5% | 1 | a |
| 99.5% | 1 | b |
| 99.5% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64)))))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (/ 1 (/ -1 (sin b))) (/ (cos (+ b a)) (neg r))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ 1 (/ -1 (sin b))) (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) |
(*.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(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) #s(approx (/ (+ (* b (* b -1/6)) -1) b) (*.f64 b #s(literal -1/6 binary64))))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) (neg.f64 r)) |
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (neg.f64 r)) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (neg.f64 r))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 b)) (neg.f64 r))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 r #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (*.f64 r (sin.f64 b))) |
(*.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 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (*.f64 r (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) |
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 #s(approx (/ 1 (/ 1 (+ b a))) (fma.f64 b (/.f64 a b) b)))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (* (+ b a) (- a b)) (neg (- a b))) (*.f64 b (-.f64 #s(literal -1 binary64) (/.f64 a b)))))) |
(*.f64 #s(approx (pow (/ -1 (sin b)) -1) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(approx (neg (- a b)) (neg.f64 a))))) |
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (-.f64 a b) (*.f64 (+.f64 b a) (/.f64 #s(literal -1 binary64) (-.f64 a b)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) #s(literal 1 binary64)) (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (neg.f64 r))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 (neg.f64 (+.f64 b a)) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))) |
(*.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))) (fma.f64 b (+.f64 b a) (*.f64 a a))))) (sin.f64 b)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 a)))) (neg.f64 r))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (* (+ b a) (- a b)) (neg (- a b))) (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (/.f64 (-.f64 a b) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 (neg.f64 (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r b))) #s(literal -1 binary64)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a)))))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (cos (+ b a)) (neg r)) -1) (neg.f64 (/.f64 r (cos.f64 b))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (cos (+ b a)) (neg r)) -1) (/.f64 (neg.f64 r) (cos.f64 a)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (neg r)) -1) (neg.f64 (/.f64 r (cos.f64 a))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) #s(approx (pow (/ (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (neg r)) -1) (neg.f64 (/.f64 r (cos.f64 b))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 r #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (fma.f64 b (sin.f64 (neg.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))) |
(*.f64 (pow.f64 #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (/.f64 r (cos.f64 (exp.f64 (log.f64 (+.f64 b a))))) (sin.f64 b)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 r (cos.f64 (pow.f64 (pow.f64 (+.f64 b a) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sin.f64 b)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (sin.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 (+.f64 b a)))) #s(literal -1 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) (sin.f64 b)) |
(/.f64 (*.f64 r (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 (*.f64 r (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 (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))) |
(/.f64 (sin.f64 b) (/.f64 (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) r)) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) |
(/.f64 (*.f64 r (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 (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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))))) |
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 b (fma.f64 (*.f64 r (sin.f64 a)) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) |
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a 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 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (log.f64 (neg.f64 (sin.f64 b)))) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 (neg.f64 (+.f64 b a))))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (pow.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(literal -2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -2 binary64))) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
4 calls:
| 70.0ms | a |
| 67.0ms | b |
| 66.0ms | r |
| 33.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.0% | 1 | r |
| 78.0% | 1 | a |
| 78.0% | 1 | b |
| 78.0% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64)))))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (/ 1 (/ -1 (sin b))) (/ (cos (+ b a)) (neg r))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ 1 (/ -1 (sin b))) (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) |
(*.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(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) #s(approx (/ (+ (* b (* b -1/6)) -1) b) (*.f64 b #s(literal -1/6 binary64))))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) (neg.f64 r)) |
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (neg.f64 r)) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (neg.f64 r))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 b)) (neg.f64 r))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 r #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
4 calls:
| 38.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 31.0ms | r |
| 13.0ms | a |
| 13.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.9% | 1 | r |
| 77.9% | 1 | b |
| 77.9% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 77.9% | 1 | a |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64)))))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (/ 1 (/ -1 (sin b))) (/ (cos (+ b a)) (neg r))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ 1 (/ -1 (sin b))) (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) |
(*.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(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) #s(approx (/ (+ (* b (* b -1/6)) -1) b) (*.f64 b #s(literal -1/6 binary64))))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) (neg.f64 r)) |
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (neg.f64 r)) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (neg.f64 r))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 b)) (neg.f64 r))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 r #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 b))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r) |
4 calls:
| 22.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 13.0ms | b |
| 13.0ms | a |
| 13.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.2% | 1 | r |
| 77.6% | 3 | b |
| 64.4% | 3 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 78.3% | 3 | a |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64)))))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (/ 1 (/ -1 (sin b))) (/ (cos (+ b a)) (neg r))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ 1 (/ -1 (sin b))) (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) |
(*.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(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) #s(approx (/ (+ (* b (* b -1/6)) -1) b) (*.f64 b #s(literal -1/6 binary64))))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) (neg.f64 r)) |
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (neg.f64 r)) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (neg.f64 r))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 b)) (neg.f64 r))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 r #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r) |
1 calls:
| 12.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.2% | 3 | a |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64)))))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (/ 1 (/ -1 (sin b))) (/ (cos (+ b a)) (neg r))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ 1 (/ -1 (sin b))) (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) |
(*.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(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) #s(approx (/ (+ (* b (* b -1/6)) -1) b) (*.f64 b #s(literal -1/6 binary64))))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) (neg.f64 r)) |
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (neg.f64 r)) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (neg.f64 r))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 b)) (neg.f64 r))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 r #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r) |
1 calls:
| 27.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.2% | 3 | a |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64)))))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (/ 1 (/ -1 (sin b))) (/ (cos (+ b a)) (neg r))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ 1 (/ -1 (sin b))) (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) |
(*.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(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) #s(approx (/ (+ (* b (* b -1/6)) -1) b) (*.f64 b #s(literal -1/6 binary64))))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) (neg.f64 r)) |
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (neg.f64 r)) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (neg.f64 r))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 b)) (neg.f64 r))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 r #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) (sin.f64 b)) |
| Outputs |
|---|
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) |
1 calls:
| 12.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.2% | 3 | a |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64)))))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (/ 1 (/ -1 (sin b))) (/ (cos (+ b a)) (neg r))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ 1 (/ -1 (sin b))) (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) |
(*.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(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) #s(approx (/ (+ (* b (* b -1/6)) -1) b) (*.f64 b #s(literal -1/6 binary64))))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) (neg.f64 r)) |
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (neg.f64 r)) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (neg.f64 r))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 b)) (neg.f64 r))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 r #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) |
2 calls:
| 36.0ms | a |
| 11.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.6% | 3 | b |
| 76.6% | 3 | a |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64)))))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (/ 1 (/ -1 (sin b))) (/ (cos (+ b a)) (neg r))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ 1 (/ -1 (sin b))) (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) |
(*.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(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) #s(approx (/ (+ (* b (* b -1/6)) -1) b) (*.f64 b #s(literal -1/6 binary64))))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) (neg.f64 r)) |
(/.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (neg.f64 r)) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 a)) (neg.f64 r))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(approx (cos (+ b a)) (cos.f64 b)) (neg.f64 r))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 r #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (sin b)) (/.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal -1 binary64)) b))) (/.f64 #s(literal -1 binary64) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) |
4 calls:
| 17.0ms | a |
| 10.0ms | r |
| 10.0ms | b |
| 10.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.4% | 1 | r |
| 52.4% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 52.4% | 1 | a |
| 56.4% | 3 | b |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64)))))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (/ 1 (/ -1 (sin b))) (/ (cos (+ b a)) (neg r))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ 1 (/ -1 (sin b))) (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) |
(*.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 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #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 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) |
1 calls:
| 7.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.4% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64)))))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (/ 1 (/ -1 (sin b))) (/ (cos (+ b a)) (neg r))) (*.f64 b (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ 1 (/ -1 (sin b))) (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))) |
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b))) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) |
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) |
1 calls:
| 40.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.1% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64)))))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (/ 1 (/ -1 (sin b))) (/ (cos (+ b a)) (neg r))) (*.f64 b (/.f64 r (cos.f64 a)))) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a)))) |
4 calls:
| 4.0ms | r |
| 4.0ms | b |
| 4.0ms | a |
| 4.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.9% | 1 | a |
| 51.9% | 1 | r |
| 51.9% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 51.9% | 1 | b |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64)))))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
4 calls:
| 4.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 4.0ms | a |
| 4.0ms | b |
| 4.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.9% | 1 | b |
| 51.9% | 1 | a |
| 51.9% | 1 | r |
| 51.9% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64)))))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r)))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
4 calls:
| 13.0ms | r |
| 3.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 3.0ms | a |
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.9% | 1 | b |
| 51.9% | 1 | a |
| 51.9% | 1 | r |
| 51.9% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 24 to 17 computations (29.2% saved)
Total -16.3b remaining (-39.6%)
Threshold costs -16.3b (-39.6%)
| Inputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64)))))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 #s(approx (+ (* 1/2 (* a a)) 1) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 b r)))))) |
| Outputs |
|---|
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
4 calls:
| 3.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 3.0ms | a |
| 3.0ms | r |
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.6% | 1 | b |
| 35.6% | 1 | a |
| 35.6% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 35.6% | 1 | r |
Compiled 24 to 17 computations (29.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 39.0ms | 2.1393990612391205e-8 | 0.02005115565107535 |
| 43.0ms | -1226981.879457853 | -7.62611824572183e-6 |
| 48.0ms | 162× | 0 | valid |
| 23.0ms | 142× | 1 | valid |
Compiled 471 to 318 computations (32.5% saved)
ival-cos: 25.0ms (59.9% of total)ival-sin: 7.0ms (16.8% of total)adjust: 3.0ms (7.2% of total)ival-add: 2.0ms (4.8% of total)ival-div: 2.0ms (4.8% of total)ival-mult: 2.0ms (4.8% 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 | 2.1393990612391205e-8 | 0.02005115565107535 |
| 1.0ms | -1226981.879457853 | -7.62611824572183e-6 |
Compiled 471 to 318 computations (32.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.1393990612391205e-8 | 0.02005115565107535 |
| 1.0ms | -1226981.879457853 | -7.62611824572183e-6 |
Compiled 471 to 318 computations (32.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.1393990612391205e-8 | 0.02005115565107535 |
| 1.0ms | -1226981.879457853 | -7.62611824572183e-6 |
Compiled 471 to 318 computations (32.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 44.0ms | 1.153613761379443e-6 | 1.1044407553388464e-5 |
| 45.0ms | -7.783316975983229e+21 | -17481993179903644.0 |
| 35.0ms | 54× | 0 | valid |
| 30.0ms | 186× | 1 | valid |
Compiled 495 to 314 computations (36.6% saved)
ival-cos: 9.0ms (35.5% of total)ival-sin: 6.0ms (23.7% of total)adjust: 3.0ms (11.8% of total)ival-add: 2.0ms (7.9% of total)ival-div: 2.0ms (7.9% of total)ival-mult: 2.0ms (7.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 65.0ms | 1.1044407553388464e-5 | 886767.9532154166 |
| 21.0ms | -135427450361.34286 | -12735726.937503833 |
| 43.0ms | 129× | 1 | valid |
| 17.0ms | 159× | 0 | valid |
Compiled 591 to 374 computations (36.7% saved)
ival-div: 25.0ms (48.6% of total)ival-sin: 10.0ms (19.4% of total)ival-cos: 10.0ms (19.4% of total)ival-add: 2.0ms (3.9% of total)adjust: 2.0ms (3.9% of total)ival-mult: 2.0ms (3.9% 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 | 1.1044407553388464e-5 | 886767.9532154166 |
| 1.0ms | -135427450361.34286 | -12735726.937503833 |
Compiled 591 to 374 computations (36.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 42.0ms | 886767.9532154166 | 1643193758353304.0 |
| 49.0ms | -12735726.937503833 | -6.559695333242822e-5 |
| 61.0ms | 143× | 1 | valid |
| 17.0ms | 161× | 0 | valid |
Compiled 452 to 299 computations (33.8% saved)
ival-sin: 32.0ms (61.5% of total)ival-cos: 10.0ms (19.2% of total)adjust: 3.0ms (5.8% of total)ival-add: 2.0ms (3.8% of total)ival-div: 2.0ms (3.8% of total)ival-mult: 2.0ms (3.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 38× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 629 |
| 1 | 140 | 629 |
| 2 | 149 | 629 |
| 3 | 153 | 629 |
| 4 | 154 | 629 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(if (<=.f64 a #s(literal -5534023222112865/18446744073709551616 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 8264141345021879/295147905179352825856 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) (*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r))) |
(if (<=.f64 a #s(literal -5534023222112865/18446744073709551616 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 8264141345021879/295147905179352825856 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r))) |
(if (<=.f64 a #s(literal -5534023222112865/18446744073709551616 binary64)) (*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r) (if (<=.f64 a #s(literal 8264141345021879/295147905179352825856 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r))) |
(if (<=.f64 a #s(literal -5534023222112865/18446744073709551616 binary64)) (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) (if (<=.f64 a #s(literal 8264141345021879/295147905179352825856 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)))) |
(if (<=.f64 b #s(literal -17500000000000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (if (<=.f64 b #s(literal 3246626956972881/295147905179352825856 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))) |
(if (<=.f64 b #s(literal -150000000 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 3800 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))))) |
(if (<=.f64 b #s(literal -150000000 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 3800 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 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))))) |
(if (<=.f64 b #s(literal -37 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 13000000 binary64)) #s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))))) |
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) |
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.f64 r (/.f64 (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)))) |
(if (<=.f64 a #s(literal -5534023222112865/18446744073709551616 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 8264141345021879/295147905179352825856 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b))) (*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r))) |
(if (<=.f64 a #s(literal -5534023222112865/18446744073709551616 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 8264141345021879/295147905179352825856 binary64)) (/.f64 (*.f64 r (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)))))) |
(if (<=.f64 a #s(literal -5534023222112865/18446744073709551616 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 8264141345021879/295147905179352825856 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r))) |
(if (<=.f64 a #s(literal -5534023222112865/18446744073709551616 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 8264141345021879/295147905179352825856 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))))) |
(if (<=.f64 a #s(literal -5534023222112865/18446744073709551616 binary64)) (*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r) (if (<=.f64 a #s(literal 8264141345021879/295147905179352825856 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a))) r))) |
(if (<=.f64 a #s(literal -5534023222112865/18446744073709551616 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))) (if (<=.f64 a #s(literal 8264141345021879/295147905179352825856 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) (cos.f64 a)))))) |
(if (<=.f64 a #s(literal -5534023222112865/18446744073709551616 binary64)) (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) (if (<=.f64 a #s(literal 8264141345021879/295147905179352825856 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)))) |
(if (<=.f64 a #s(literal -5534023222112865/18446744073709551616 binary64)) (*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a)))) (if (<=.f64 a #s(literal 8264141345021879/295147905179352825856 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a)))))) |
(if (<=.f64 b #s(literal -17500000000000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (if (<=.f64 b #s(literal 3246626956972881/295147905179352825856 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))) |
(if (<=.f64 b #s(literal -17500000000000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (if (<=.f64 b #s(literal 3246626956972881/295147905179352825856 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 b a))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))))) |
(if (<=.f64 b #s(literal -150000000 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 3800 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))))) |
(if (<=.f64 b #s(literal -150000000 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 3800 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))))) |
(if (<=.f64 b #s(literal -150000000 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 3800 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 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))))) |
(if (<=.f64 b #s(literal -37 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 13000000 binary64)) #s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))) #s(approx (cos a) #s(literal 1 binary64)))))) |
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) (*.f64 r (/.f64 b (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a)))) |
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b))) |
| 10 934× | lower-fma.f64 |
| 10 934× | lower-fma.f32 |
| 9 418× | lower-fma.f64 |
| 9 418× | lower-fma.f32 |
| 8 460× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 960 |
| 1 | 517 | 928 |
| 2 | 1595 | 886 |
| 3 | 5409 | 885 |
| 0 | 8292 | 853 |
| 0 | 37 | 169 |
| 0 | 65 | 130 |
| 1 | 218 | 117 |
| 2 | 1452 | 117 |
| 0 | 8562 | 117 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 44 | 19 |
| 2 | 234 | 19 |
| 3 | 2050 | 19 |
| 0 | 8441 | 19 |
| 0 | 51 | 226 |
| 0 | 79 | 177 |
| 1 | 274 | 172 |
| 2 | 1640 | 172 |
| 0 | 8266 | 172 |
| 0 | 507 | 6707 |
| 1 | 1590 | 6435 |
| 2 | 5491 | 6344 |
| 0 | 8887 | 6149 |
| 0 | 582 | 7019 |
| 1 | 1844 | 6591 |
| 2 | 6586 | 6487 |
| 0 | 8258 | 6324 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 127 to 516 computations (54.2% saved)
(negabs r)
Compiled 930 to 290 computations (68.8% saved)
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