
Time bar (total: 11.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 8 |
| 18.8% | 18.7% | 81.1% | 0.1% | 0% | 0% | 0% | 9 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 10 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 11 |
| 23.4% | 23.4% | 76.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 10 computations (9.1% saved)
| 921.0ms | 5 883× | 1 | valid |
| 285.0ms | 2 373× | 0 | valid |
ival-cos: 261.0ms (31.9% of total)ival-sin: 211.0ms (25.8% of total)adjust: 111.0ms (13.6% of total)ival-div: 93.0ms (11.4% of total)ival-add: 74.0ms (9% of total)ival-mult: 59.0ms (7.2% of total)ival-true: 6.0ms (0.7% of total)ival-assert: 3.0ms (0.4% 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)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 66 | 126 | (4.196225655775622e+250 4.3966295158126603e-156 -9.756774894238493e+215) | 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 | 192 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 66 | 0 |
| - | 126 | 64 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 66 | 0 | 0 |
| - | 126 | 0 | 64 |
| number | freq |
|---|---|
| 0 | 64 |
| 1 | 192 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 147.0ms | 364× | 1 | valid |
| 11.0ms | 148× | 0 | valid |
Compiled 78 to 36 computations (53.8% saved)
ival-cos: 21.0ms (40.1% of total)ival-sin: 11.0ms (21% of total)adjust: 6.0ms (11.5% of total)ival-add: 5.0ms (9.6% of total)ival-div: 4.0ms (7.6% of total)ival-mult: 4.0ms (7.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.2% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 (+.f64 a b)) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (*.f64 r (sin.f64 b)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 12× | lower-*.f32 |
| 10× | lower-*.f64 |
| 6× | *-commutative |
| 6× | lower-/.f32 |
| 4× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 25 |
| 0 | 13 | 25 |
| 1 | 17 | 25 |
| 2 | 20 | 25 |
| 3 | 21 | 25 |
| 0 | 21 | 25 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 b a)) |
(+.f64 a b) |
(+.f64 b a) |
a |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 b) |
| ✓ | accuracy | 99.8% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| ✓ | accuracy | 77.3% | (cos.f64 (+.f64 a b)) |
| 29.0ms | 182× | 1 | valid |
| 6.0ms | 74× | 0 | valid |
Compiled 27 to 10 computations (63% saved)
ival-cos: 8.0ms (33.5% of total)ival-sin: 6.0ms (25.1% of total)ival-div: 3.0ms (12.6% of total)adjust: 3.0ms (12.6% of total)ival-add: 2.0ms (8.4% of total)ival-mult: 2.0ms (8.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (cos.f64 (+.f64 a b))> |
#<alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))> |
#<alt (*.f64 r (sin.f64 b))> |
#<alt (sin.f64 b)> |
| Outputs |
|---|
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (/ (* 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)> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | r | @ | 0 | (/ (* r (sin b)) (cos (+ a b))) |
| 1.0ms | b | @ | 0 | (/ (* r (sin b)) (cos (+ a b))) |
| 1.0ms | a | @ | 0 | (/ (* r (sin b)) (cos (+ a b))) |
| 1.0ms | a | @ | inf | (/ (* r (sin b)) (cos (+ a b))) |
| 1.0ms | b | @ | -inf | (/ (* r (sin b)) (cos (+ a b))) |
| 1× | batch-egg-rewrite |
| 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 | 8438 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(cos.f64 (+.f64 a b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
| Outputs |
|---|
(+.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 a (/.f64 a (-.f64 a b)))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) (*.f64 (sin.f64 (*.f64 a (/.f64 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 a b))) #s(literal -1 binary64)))) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))) |
(cos.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (neg.f64 (-.f64 a b)))) |
(cos.f64 (/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (fma.f64 a (-.f64 a b) (*.f64 b b)))) |
(cos.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a b) (-.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 a b)))) |
(-.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 a (/.f64 a (-.f64 a b)))) (cos.f64 (neg.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) (*.f64 (sin.f64 (*.f64 a (/.f64 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 a b)) (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 a (/.f64 a (-.f64 a b)))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b))) (*.f64 (sin.f64 (*.f64 a (/.f64 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 a b)))) |
(/.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 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 (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 a b))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) |
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 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 a b)))) (neg.f64 (cos.f64 (-.f64 a b)))) |
(/.f64 (-.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (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 a b)) (cos.f64 (-.f64 a b)))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (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 a b)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 a b)) (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 a b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a b)) (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 a b)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (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 a b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (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 a b)))))) #s(literal -4 binary64)) |
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #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 a b)))) #s(literal -1 binary64)) |
(*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 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 a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 a b)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 a b)))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 a b)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 a b))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (*.f64 r (sin.f64 b))))) |
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) (neg.f64 (cos.f64 (+.f64 a b)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) |
(pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (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 a b))) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (*.f64 r (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (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 a b)))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 a b)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 r (sin.f64 b)))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (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 a b)))) (cos.f64 (-.f64 a b))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (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 a b)) (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 a b)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 r (sin.f64 b)))) |
(neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) |
(*.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) (neg.f64 (*.f64 r (sin.f64 b)))) |
(*.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) |
| 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 | 1598 | 886 |
| 3 | 5419 | 885 |
| 0 | 8303 | 853 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(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))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* 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) |
| Outputs |
|---|
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b)) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 a (fma.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (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 #s(literal -1/2 binary64) (cos.f64 a))) (sin.f64 a)) (cos.f64 a)) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 b (fma.f64 b (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) (*.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 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)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* b r) (cos a)) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (fma.f64 (sin.f64 a) (/.f64 (*.f64 b r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (/.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 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (*.f64 (*.f64 (sin.f64 a) r) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (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 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 a (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 a (fma.f64 (neg.f64 a) (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) |
(+ (* 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 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)))) (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) a)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* b r) |
(*.f64 b r) |
(* 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 (*.f64 r (*.f64 b b)) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 r #s(literal -1/6 binary64))) r)) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
(* r (sin b)) |
(*.f64 (sin.f64 b) r) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.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) |
Compiled 3 879 to 534 computations (86.2% saved)
35 alts after pruning (35 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 198 | 35 | 233 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 199 | 35 | 234 |
| Status | Accuracy | Program |
|---|---|---|
| 42.8% | (pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 34.1% | (pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64)) | |
| 76.6% | (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) | |
| 61.4% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) | |
| 49.3% | (/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| ▶ | 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
| 50.1% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (sin.f64 a)) (cos.f64 a))) | |
| 59.9% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (cos.f64 b))) | |
| 59.9% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) | |
| 98.5% | (/.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)))))))) | |
| 60.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) | |
| 50.7% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) | |
| 77.1% | (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) | |
| 47.8% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (neg.f64 (-.f64 a b))))) | |
| 52.8% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) | |
| 49.0% | (/.f64 (*.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)) (cos.f64 (+.f64 a b))) | |
| 49.4% | (/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b))) | |
| 49.3% | (/.f64 (*.f64 b r) (cos.f64 (+.f64 a b))) | |
| 77.1% | (/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) | |
| 76.7% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b)))) | |
| 77.0% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64))) | |
| 77.0% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) | |
| 78.1% | (*.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))))) | |
| ▶ | 77.1% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) |
| 77.0% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) | |
| ▶ | 77.1% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
| 77.2% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| ▶ | 76.6% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
| 77.1% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 r (sin.f64 b))) | |
| 77.1% | (*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| 77.1% | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) | |
| ▶ | 49.6% | (*.f64 r (/.f64 b (cos.f64 a))) |
| 49.2% | (*.f64 b (fma.f64 (sin.f64 a) (/.f64 (*.f64 b r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) | |
| 34.1% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
Compiled 1 350 to 846 computations (37.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (*.f64 r (sin.f64 b)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) |
| ✓ | cost-diff | 13824 | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) |
| ✓ | cost-diff | 0 | (*.f64 r (sin.f64 b)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
| ✓ | cost-diff | 0 | (cos.f64 (+.f64 a b)) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
| ✓ | cost-diff | 0 | (cos.f64 a) |
| ✓ | cost-diff | 0 | (/.f64 b (cos.f64 a)) |
| ✓ | cost-diff | 0 | (*.f64 r (/.f64 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))))) |
| 4 572× | lower-*.f32 |
| 4 558× | lower-*.f64 |
| 1 980× | lower-/.f32 |
| 1 966× | lower-/.f64 |
| 1 446× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 213 |
| 0 | 53 | 193 |
| 1 | 99 | 193 |
| 2 | 214 | 193 |
| 3 | 529 | 193 |
| 4 | 1794 | 193 |
| 5 | 3083 | 193 |
| 6 | 5081 | 193 |
| 0 | 8330 | 193 |
| 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) |
(*.f64 r (/.f64 b (cos.f64 a))) |
r |
(/.f64 b (cos.f64 a)) |
b |
(cos.f64 a) |
a |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
r |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) |
(cos.f64 (-.f64 a b)) |
(-.f64 a b) |
a |
(cos.f64 (+.f64 a b)) |
(+.f64 a 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)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.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)))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(cos.f64 b) |
(cos.f64 a) |
a |
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(sin.f64 a) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
r |
(/.f64 b (cos.f64 a)) |
b |
(cos.f64 a) |
a |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 b a)) |
(+.f64 a b) |
(+.f64 b a) |
a |
r |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(*.f64 r (sin.f64 b)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 b a)) |
(+.f64 a b) |
(+.f64 b a) |
a |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) |
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) |
(cos.f64 (-.f64 a b)) |
(-.f64 a b) |
a |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 b a)) |
(+.f64 a b) |
(+.f64 b a) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) |
| ✓ | accuracy | 99.5% | (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) |
| ✓ | accuracy | 77.5% | (cos.f64 (-.f64 a b)) |
| ✓ | accuracy | 77.3% | (cos.f64 (+.f64 a b)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
| ✓ | accuracy | 77.3% | (cos.f64 (+.f64 a b)) |
| ✓ | accuracy | 100.0% | (sin.f64 b) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
| ✓ | accuracy | 99.6% | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| ✓ | accuracy | 77.3% | (cos.f64 (+.f64 a b)) |
| ✓ | accuracy | 100.0% | (cos.f64 a) |
| ✓ | accuracy | 99.8% | (*.f64 r (/.f64 b (cos.f64 a))) |
| ✓ | accuracy | 99.7% | (/.f64 b (cos.f64 a)) |
| ✓ | accuracy | 99.8% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 99.8% | (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
| ✓ | accuracy | 99.6% | (*.f64 (sin.f64 b) (sin.f64 a)) |
| ✓ | accuracy | 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))))) |
| 116.0ms | 180× | 1 | valid |
| 20.0ms | 76× | 0 | valid |
Compiled 217 to 31 computations (85.7% saved)
ival-cos: 32.0ms (31.8% of total)ival-mult: 23.0ms (22.9% of total)ival-sin: 16.0ms (15.9% of total)ival-div: 14.0ms (13.9% of total)adjust: 9.0ms (9% of total)ival-add: 4.0ms (4% of total)ival-sub: 2.0ms (2% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))> |
#<alt (*.f64 (sin.f64 b) (sin.f64 a))> |
#<alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))> |
#<alt (*.f64 r (sin.f64 b))> |
#<alt (/.f64 b (cos.f64 a))> |
#<alt (*.f64 r (/.f64 b (cos.f64 a)))> |
#<alt (cos.f64 a)> |
#<alt (cos.f64 (+.f64 a b))> |
#<alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))> |
#<alt (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)> |
#<alt (sin.f64 b)> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))> |
#<alt (cos.f64 (-.f64 a b))> |
#<alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))> |
#<alt (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))> |
| 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 (* b (sin a))> |
#<alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))> |
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))> |
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))> |
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))> |
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (cos a)> |
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#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
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#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (cos b)> |
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#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
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#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (* r (sin b))> |
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#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* b r)> |
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#<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))> |
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#<alt (/ b (cos a))> |
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#<alt (/ b (cos a))> |
#<alt (/ b (cos a))> |
#<alt (/ b (cos a))> |
#<alt (/ b (cos a))> |
#<alt b> |
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#<alt (+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))> |
#<alt (+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))> |
#<alt (/ b (cos a))> |
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#<alt (/ b (cos a))> |
#<alt (/ b (cos a))> |
#<alt (/ b (cos a))> |
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#<alt (/ (* b r) (cos a))> |
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#<alt (/ (* b r) (cos a))> |
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#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt 1> |
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#<alt (cos a)> |
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#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos b)> |
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#<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)> |
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#<alt (cos (+ a b))> |
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#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
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#<alt (/ b (cos a))> |
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#<alt (/ (sin b) (cos (+ a b)))> |
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#<alt (/ (sin b) (cos (+ a b)))> |
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#<alt (/ (* r (sin b)) (cos (+ a b)))> |
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#<alt (/ (* r (sin b)) (cos (+ a b)))> |
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#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
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#<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> |
#<alt (* b (+ 1 (* -1/6 (pow b 2))))> |
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#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (* r (sin b))> |
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#<alt (* r (sin b))> |
#<alt (* b r)> |
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#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))> |
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#<alt (* r (sin b))> |
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#<alt (* r (sin b))> |
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#<alt (/ (* b r) (cos a))> |
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#<alt (/ (* r (sin b)) (cos (+ a b)))> |
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#<alt (/ (* r (sin b)) (cos (+ a b)))> |
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#<alt (/ (* r (sin b)) (cos (+ a b)))> |
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#<alt (/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b)> |
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#<alt (cos (neg b))> |
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#<alt (cos (- a b))> |
#<alt (cos (- a b))> |
#<alt (cos (- a b))> |
#<alt (cos (neg (+ b (* -1 a))))> |
#<alt (cos (neg (+ b (* -1 a))))> |
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#<alt (cos (neg (+ b (* -1 a))))> |
#<alt (cos a)> |
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#<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)))> |
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#<alt (* (cos (+ a b)) (cos (- a b)))> |
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#<alt (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))> |
#<alt (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))> |
#<alt (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))> |
#<alt (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))> |
#<alt (pow (cos a) 2)> |
#<alt (+ (* b (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 2))> |
#<alt (+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (* (cos a) (sin a))))) (pow (cos a) 2))> |
#<alt (+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (+ (* -1 (pow (sin a) 2)) (* b (+ (* -1/2 (* (cos a) (sin a))) (+ (* -1/6 (* (cos a) (sin a))) (+ (* 1/6 (* (cos a) (sin a))) (* 1/2 (* (cos a) (sin a)))))))))) (* (cos a) (sin a))))) (pow (cos a) 2))> |
#<alt (* (cos (+ a b)) (cos (- a b)))> |
#<alt (* (cos (+ a b)) (cos (- a b)))> |
#<alt (* (cos (+ a b)) (cos (- a b)))> |
#<alt (* (cos (+ a b)) (cos (- a b)))> |
#<alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))> |
#<alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))> |
#<alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))> |
#<alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
111 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | a | @ | 0 | (/ b (cos a)) |
| 4.0ms | r | @ | 0 | (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) |
| 2.0ms | b | @ | inf | (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) |
| 1.0ms | a | @ | inf | (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) |
| 1.0ms | a | @ | -inf | (/ (* r (sin b)) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) |
| 1× | batch-egg-rewrite |
| 5 306× | lower-*.f32 |
| 5 292× | lower-*.f64 |
| 5 060× | lower-/.f32 |
| 5 046× | lower-/.f64 |
| 2 886× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 131 |
| 0 | 53 | 97 |
| 1 | 194 | 97 |
| 2 | 1353 | 97 |
| 0 | 8527 | 97 |
| 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 (sin.f64 b) (sin.f64 a)) |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(*.f64 r (sin.f64 b)) |
(/.f64 b (cos.f64 a)) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(cos.f64 a) |
(cos.f64 (+.f64 a b)) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(sin.f64 b) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(cos.f64 (-.f64 a b)) |
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a 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)))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(+.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) |
(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 (*.f64 r (sin.f64 b))) (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64) (log.f64 (*.f64 r (sin.f64 b))))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 r (sin.f64 b)))))) |
(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))))) (/.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(fma.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a 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)))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.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 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) |
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))) |
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (neg.f64 (cos.f64 (-.f64 a b))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b)))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) |
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) #s(literal 1 binary64)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b)))) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))))) |
(/.f64 (*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (-.f64 a b))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) |
(/.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(/.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))) |
(/.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a))) |
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (-.f64 a b)))) (neg.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))))) (neg.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) r)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 a b)) #s(literal 1 binary64))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 a b)) (neg.f64 (*.f64 r (sin.f64 b))))) (neg.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 a b)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b)))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a)))) (neg.f64 (cos.f64 (-.f64 a b)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b)))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a 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)))) (*.f64 (cos.f64 b) (cos.f64 a))) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (*.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a 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)))) (*.f64 (sin.f64 b) (sin.f64 a))))))) |
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(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)))) |
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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))))) #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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) r)) (/.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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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) (sin.f64 b))) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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))))) (pow.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) (pow.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))) (/.f64 (*.f64 r (sin.f64 b)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (/.f64 r (cos.f64 (-.f64 a b)))) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (+.f64 b a)) r)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (sin.f64 b))) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (+.f64 b a)) r))) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (-.f64 a b)) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)))) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (-.f64 a b)) r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1 binary64))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1 binary64))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal -1 binary64))) (neg.f64 (*.f64 r (sin.f64 b)))) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (-.f64 a b)))) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (neg.f64 (cos.f64 (-.f64 a b)))) (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (cos.f64 (-.f64 a 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 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a 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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1 binary64))) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal -1 binary64))) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))))) |
| 1× | egg-herbie |
| 8 196× | lower-fma.f64 |
| 8 196× | lower-fma.f32 |
| 7 828× | lower-*.f64 |
| 7 828× | lower-*.f32 |
| 2 550× | lower-neg.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 459 | 5212 |
| 1 | 1505 | 4948 |
| 2 | 4959 | 4842 |
| 0 | 8790 | 4668 |
| 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)))) |
(* b (sin a)) |
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a)))))))) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* a (sin b)) |
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(cos 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)) |
(* 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 (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
b |
(+ b (* 1/2 (* (pow a 2) b))) |
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b)))) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (cos a)) |
(/ b (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) (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)) |
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) |
(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))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
b |
(* 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)) |
(* 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)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* 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)))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* b r)) |
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b) |
(/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b) |
(/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(cos (neg b)) |
(+ (cos (neg b)) (* -1 (* a (sin (neg b))))) |
(+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b))))) |
(+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b))))) |
(cos (- a b)) |
(cos (- a b)) |
(cos (- a b)) |
(cos (- a b)) |
(cos (neg (+ b (* -1 a)))) |
(cos (neg (+ b (* -1 a)))) |
(cos (neg (+ b (* -1 a)))) |
(cos (neg (+ b (* -1 a)))) |
(cos a) |
(+ (cos a) (* b (sin a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a))))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* -1/6 (* b (sin a))))) (* -1 (sin a))))) |
(cos (- a b)) |
(cos (- a b)) |
(cos (- a b)) |
(cos (- a b)) |
(cos (+ a (* -1 b))) |
(cos (+ a (* -1 b))) |
(cos (+ a (* -1 b))) |
(cos (+ a (* -1 b))) |
(* (cos b) (cos (neg b))) |
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))) (* (cos b) (cos (neg b)))) |
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))))) (* (cos b) (cos (neg b)))) |
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (+ (* a (+ (* 1/6 (* (cos b) (sin (neg b)))) (+ (* 1/6 (* (cos (neg b)) (sin b))) (+ (* 1/2 (* (cos b) (sin (neg b)))) (* 1/2 (* (cos (neg b)) (sin b))))))) (* (sin b) (sin (neg b))))))))) (* (cos b) (cos (neg b)))) |
(* (cos (+ a b)) (cos (- a b))) |
(* (cos (+ a b)) (cos (- a b))) |
(* (cos (+ a b)) (cos (- a b))) |
(* (cos (+ a b)) (cos (- a b))) |
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))) |
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))) |
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))) |
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a)))) |
(pow (cos a) 2) |
(+ (* b (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 2)) |
(+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (* (cos a) (sin a))))) (pow (cos a) 2)) |
(+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (+ (* -1 (pow (sin a) 2)) (* b (+ (* -1/2 (* (cos a) (sin a))) (+ (* -1/6 (* (cos a) (sin a))) (+ (* 1/6 (* (cos a) (sin a))) (* 1/2 (* (cos a) (sin a)))))))))) (* (cos a) (sin a))))) (pow (cos a) 2)) |
(* (cos (+ a b)) (cos (- a b))) |
(* (cos (+ a b)) (cos (- a b))) |
(* (cos (+ a b)) (cos (- a b))) |
(* (cos (+ a b)) (cos (- a b))) |
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))) |
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))) |
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))) |
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* 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)))) |
| 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 (*.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 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 (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)))) (neg.f64 (/.f64 (sin.f64 a) (cos.f64 a))) (*.f64 r (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (neg.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)))) |
(/ (* 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)))) |
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(*.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 (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)))) (neg.f64 (/.f64 (sin.f64 a) (cos.f64 a))) (*.f64 r (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (neg.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)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 r (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r a)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 a (fma.f64 a (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (/.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 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b)) (*.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (neg.f64 a) (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
Compiled 67 742 to 3 813 computations (94.4% saved)
80 alts after pruning (78 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 424 | 68 | 2 492 |
| Fresh | 20 | 10 | 30 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 447 | 80 | 2 527 |
| Status | Accuracy | Program |
|---|---|---|
| 42.8% | (pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 99.2% | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 99.3% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 61.4% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) | |
| 49.3% | (/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 59.9% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| ✓ | 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
| 68.9% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a)))) | |
| 62.9% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 59.9% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (cos.f64 b))) | |
| 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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 60.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) | |
| 50.7% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) | |
| 47.8% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (neg.f64 (-.f64 a b))))) | |
| ▶ | 52.8% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
| 49.6% | (/.f64 (*.f64 r b) (cos.f64 a)) | |
| 49.0% | (/.f64 (*.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)) (cos.f64 (+.f64 a b))) | |
| 49.3% | (/.f64 (*.f64 b r) (cos.f64 (+.f64 a b))) | |
| 76.6% | (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))))) | |
| 77.1% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 49.5% | (/.f64 r (/.f64 (cos.f64 a) b)) | |
| 76.7% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) | |
| 49.1% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) | |
| 76.6% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) | |
| 28.7% | (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)) | |
| 34.8% | (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) | |
| 49.4% | (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b))) r) | |
| 46.4% | (*.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) #s(literal 1/2 binary64)) (cos.f64 (+.f64 b a))) (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| 77.1% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) #s(literal 1 binary64))) | |
| 98.4% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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) (sin.f64 b))) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) (/.f64 #s(literal 1 binary64) r))) | |
| 76.9% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 76.5% | (*.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))) #s(literal 2 binary64)) | |
| 63.2% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))) | |
| 55.7% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))) | |
| 98.6% | (*.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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))) | |
| 99.3% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (cos.f64 (-.f64 a b))) | |
| 61.5% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 b)) | |
| 53.0% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 a)) | |
| 53.0% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) | |
| ▶ | 99.4% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r) |
| 99.4% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) r) | |
| 59.9% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) r) | |
| 77.1% | (*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) r) | |
| 98.7% | (*.f64 (/.f64 (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 (neg.f64 (*.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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))) r) | |
| ▶ | 50.7% | (*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) r) |
| 98.5% | (*.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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))))) | |
| 77.1% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 r (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a)))) | |
| 61.3% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) | |
| 77.1% | (*.f64 (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (/.f64 r (cos.f64 (-.f64 a b)))) | |
| 76.5% | (*.f64 (/.f64 (cos.f64 (-.f64 a b)) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))) (/.f64 (*.f64 r (sin.f64 b)) #s(literal 1/2 binary64))) | |
| 77.2% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| 49.5% | (*.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) | |
| ▶ | 35.0% | (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
| 49.5% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (/.f64 #s(literal 7/360 binary64) r) (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) | |
| 49.5% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) | |
| 76.5% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) | |
| 77.0% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) r) | |
| 98.9% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 98.2% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (neg.f64 (*.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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))) | |
| 60.2% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) | |
| 61.1% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 b))) | |
| 52.4% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 a))) | |
| 77.0% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) | |
| 77.0% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 77.1% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) | |
| 77.0% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) | |
| 77.1% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r) | |
| 77.1% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) | |
| 49.4% | (*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) | |
| 35.3% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64))) r) | |
| 43.8% | (*.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) | |
| 33.0% | (*.f64 r (/.f64 b (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 33.0% | (*.f64 r (/.f64 b (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) | |
| 33.2% | (*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 49.6% | (*.f64 r (/.f64 b (cos.f64 a))) |
| 49.6% | (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)) | |
| ▶ | 33.9% | (*.f64 r b) |
| 49.6% | (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) | |
| 34.1% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
Compiled 3 396 to 2 062 computations (39.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) |
| ✓ | cost-diff | 0 | (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 704 | (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
| ✓ | cost-diff | 0 | (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) r) |
| ✓ | cost-diff | 0 | (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)) (cos.f64 a)) |
| ✓ | cost-diff | 0 | (*.f64 r b) |
| ✓ | cost-diff | 0 | (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r) |
| 1 112× | lower-fma.f32 |
| 1 110× | lower-fma.f64 |
| 988× | lower-*.f32 |
| 972× | lower-*.f64 |
| 402× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 204 |
| 0 | 54 | 204 |
| 1 | 91 | 202 |
| 2 | 133 | 202 |
| 3 | 168 | 202 |
| 4 | 190 | 202 |
| 5 | 244 | 202 |
| 6 | 359 | 202 |
| 7 | 582 | 202 |
| 8 | 914 | 202 |
| 9 | 1431 | 202 |
| 10 | 1984 | 202 |
| 11 | 2345 | 202 |
| 12 | 2528 | 202 |
| 13 | 2584 | 202 |
| 14 | 2593 | 202 |
| 15 | 2593 | 202 |
| 16 | 2593 | 202 |
| 17 | 2593 | 202 |
| 0 | 2593 | 202 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r) |
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
(sin.f64 (neg.f64 b)) |
(neg.f64 b) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
r |
(*.f64 r b) |
r |
b |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 a) |
a |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) r) |
(/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
(sin.f64 b) |
b |
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(cos.f64 a) |
a |
(*.f64 b (sin.f64 a)) |
(sin.f64 a) |
r |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 (neg.f64 b)) (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 (neg.f64 b)) |
(neg.f64 b) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
r |
(*.f64 r b) |
(*.f64 b r) |
r |
b |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(cos.f64 a) |
a |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) |
(/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
(/.f64 (sin.f64 b) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) |
(sin.f64 b) |
b |
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)) |
(cos.f64 a) |
a |
(*.f64 b (sin.f64 a)) |
(sin.f64 a) |
r |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 r r))) #s(literal -1/2 binary64)) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 r r))) #s(literal -1/2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 r r))) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) |
(*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 r r))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 b a)) |
(+.f64 a b) |
(+.f64 b a) |
a |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) |
| ✓ | accuracy | 77.3% | (cos.f64 (+.f64 a b)) |
| ✓ | accuracy | 64.5% | (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (cos.f64 a) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) r) |
| ✓ | accuracy | 99.8% | (*.f64 b (sin.f64 a)) |
| ✓ | accuracy | 99.7% | (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
| ✓ | accuracy | 100.0% | (sin.f64 b) |
| ✓ | accuracy | 100.0% | (cos.f64 a) |
| ✓ | accuracy | 99.8% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
| ✓ | accuracy | 100.0% | (*.f64 r b) |
| ✓ | accuracy | 99.9% | (*.f64 (cos.f64 b) (cos.f64 a)) |
| ✓ | accuracy | 99.8% | (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r) |
| ✓ | accuracy | 99.6% | (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 163.0ms | 181× | 1 | valid |
| 20.0ms | 75× | 0 | valid |
Compiled 209 to 32 computations (84.7% saved)
ival-sin: 52.0ms (34.3% of total)ival-cos: 38.0ms (25.1% of total)ival-mult: 22.0ms (14.5% of total)ival-div: 12.0ms (7.9% of total)adjust: 9.0ms (5.9% of total)ival-pow: 9.0ms (5.9% of total)ival-add: 4.0ms (2.6% of total)exact: 3.0ms (2% of total)ival-sub: 2.0ms (1.3% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))> |
#<alt (*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r)> |
#<alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))> |
#<alt (*.f64 (cos.f64 b) (cos.f64 a))> |
#<alt (*.f64 r b)> |
#<alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))> |
#<alt (*.f64 r (sin.f64 b))> |
#<alt (cos.f64 a)> |
#<alt (sin.f64 b)> |
#<alt (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))> |
#<alt (*.f64 b (sin.f64 a))> |
#<alt (*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) r)> |
#<alt (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))> |
#<alt (cos.f64 (+.f64 a b))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))> |
| Outputs |
|---|
#<alt (/ b (cos a))> |
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))> |
#<alt (/ (sin b) (cos b))> |
#<alt (+ (* -1 (/ (* a (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (/ (sin b) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b))) (+ (* -1/6 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))) (* 1/2 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
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#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (* 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 (* -1 (* r (sin b)))> |
#<alt (* -1 (* r (sin b)))> |
#<alt (* -1 (* r (sin b)))> |
#<alt (* -1 (* 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 (/ (* 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 (/ (* r (sin b)) (cos (+ a b))))> |
#<alt (* -1 (/ (* r (sin b)) (cos (+ a b))))> |
#<alt (* -1 (/ (* r (sin b)) (cos (+ a b))))> |
#<alt (* -1 (/ (* 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))))> |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 51.0ms | r | @ | 0 | (* (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos b) (cos a)))) r) |
| 1.0ms | a | @ | 0 | (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos b) (cos a)))) |
| 1.0ms | a | @ | inf | (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos b) (cos a)))) |
| 1.0ms | b | @ | inf | (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos b) (cos a)))) |
| 1.0ms | a | @ | -inf | (/ (sin b) (+ (* (sin (neg b)) (sin a)) (* (cos b) (cos a)))) |
| 1× | batch-egg-rewrite |
| 4 728× | lower-/.f32 |
| 4 718× | lower-/.f64 |
| 4 704× | lower-*.f32 |
| 4 688× | lower-*.f64 |
| 2 364× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 138 |
| 0 | 54 | 129 |
| 1 | 192 | 92 |
| 2 | 1217 | 92 |
| 0 | 8422 | 92 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r) |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(*.f64 r b) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(*.f64 r (sin.f64 b)) |
(cos.f64 a) |
(sin.f64 b) |
(/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
(*.f64 b (sin.f64 a)) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) r) |
(pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) |
(cos.f64 (+.f64 a b)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a))))) |
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (neg.f64 (sin.f64 (neg.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a))) #s(literal 3 binary64)))) (*.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a)))))))) |
(/.f64 (*.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64)))) (*.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (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 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (sin.f64 b) (-.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (sin.f64 b) (-.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)))))) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) #s(literal 4 binary64))) |
(/.f64 (*.f64 (sin.f64 b) (-.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (sin.f64 (neg.f64 b)) (*.f64 (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 (neg.f64 b)))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))) |
(*.f64 (neg.f64 (sin.f64 (neg.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (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 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a))))) |
(*.f64 (/.f64 (sin.f64 b) (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (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 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (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 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (sin.f64 b) r))) #s(literal 1/2 binary64) (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 b) r))) #s(literal -1 binary64) (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))) |
(exp.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 b) r)))) (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (sin.f64 b) r))) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 b) r)))))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 (sin.f64 b) r))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))) |
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(*.f64 (sin.f64 a) b) |
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(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) r)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
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(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (neg.f64 (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)) |
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(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
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(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
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(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (sin.f64 b) r))))) |
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (pow.f64 r #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 r #s(literal -1 binary64))) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 r (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (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 (sin.f64 b) r))) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a)))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (sin.f64 b) r))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a)))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (pow.f64 r #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (pow.f64 r #s(literal -1 binary64))) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (pow.f64 (*.f64 r (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a)))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64))) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64))) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (sin.f64 b) r))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (pow.f64 r #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (pow.f64 r #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (pow.f64 (*.f64 r (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64))) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (neg.f64 (*.f64 (sin.f64 b) r))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 r (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (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 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
| 1× | egg-herbie |
| 8 978× | lower-fma.f64 |
| 8 978× | lower-fma.f32 |
| 7 026× | lower-*.f64 |
| 7 026× | lower-*.f32 |
| 2 854× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 610 | 5142 |
| 1 | 2044 | 4915 |
| 2 | 7118 | 4802 |
| 0 | 8134 | 4649 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (sin b) (cos b)) |
(+ (* -1 (/ (* a (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (/ (sin b) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b))) (+ (* -1/6 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))) (* 1/2 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (cos b)) |
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(cos b) |
(+ (cos b) (* a (sin (neg b)))) |
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b))))))))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(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)) |
(* 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)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* b r) (cos a)) |
(* b (+ (* -1/6 (/ (* (pow b 2) r) (cos a))) (/ r (cos a)))) |
(* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* 1/120 (/ (* (pow b 2) r) (cos a))))) (/ r (cos a)))) |
(* b (+ (* (pow b 2) (+ (* -1/6 (/ r (cos a))) (* (pow b 2) (+ (* -1/5040 (/ (* (pow b 2) r) (cos a))) (* 1/120 (/ r (cos a))))))) (/ r (cos a)))) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(* r (sin b)) |
(+ (* 1/2 (* (pow a 2) (* r (sin b)))) (* r (sin b))) |
(+ (* r (sin b)) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b)))))) |
(+ (* r (sin b)) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* r (sin b))) (+ (* 1/48 (* r (sin b))) (* 1/2 (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b))))))))) (+ (* -1/4 (* r (sin b))) (* 1/24 (* r (sin b)))))) (* -1/2 (* r (sin b)))))) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos a)) |
(/ (* r (sin b)) (cos 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)) |
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) |
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) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* -1 (* b (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (* -1 (/ (* b (* (sin a) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* -1 (/ (sin b) (* b (sin a)))) |
(/ (+ (* -1 (/ (sin b) (sin a))) (* -1 (/ (* (cos a) (sin b)) (* b (pow (sin a) 2))))) b) |
(/ (- (+ (* -1 (/ (sin b) (sin a))) (* -1 (/ (* (pow (cos a) 2) (sin b)) (* (pow b 2) (pow (sin a) 3))))) (/ (* (cos a) (sin b)) (* b (pow (sin a) 2)))) b) |
(/ (- (+ (* -1 (/ (sin b) (sin a))) (* -1 (/ (* (pow (cos a) 3) (sin b)) (* (pow b 3) (pow (sin a) 4))))) (+ (/ (* (cos a) (sin b)) (* b (pow (sin a) 2))) (/ (* (pow (cos a) 2) (sin b)) (* (pow b 2) (pow (sin a) 3))))) b) |
(* -1 (/ (sin b) (* b (sin a)))) |
(* -1 (/ (+ (/ (sin b) (sin a)) (/ (* (cos a) (sin b)) (* b (pow (sin a) 2)))) b)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow (cos a) 2) (sin b)) (* b (pow (sin a) 3)))) (/ (* (cos a) (sin b)) (pow (sin a) 2))) b)) (/ (sin b) (sin a))) b)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (cos a) 3) (sin b)) (* b (pow (sin a) 4))) (* -1 (/ (* (pow (cos a) 2) (sin b)) (pow (sin a) 3)))) b)) (/ (* (cos a) (sin b)) (pow (sin a) 2))) b)) (/ (sin b) (sin a))) b)) |
(sin b) |
(+ (sin b) (* a (* b (sin b)))) |
(+ (sin b) (* a (- (* -1 (* a (+ (* -1 (* (pow b 2) (sin b))) (* -1/2 (sin b))))) (* -1 (* b (sin b)))))) |
(+ (sin b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* b (sin b))) (+ (* 1/6 (* b (sin b))) (* b (+ (* -1 (* (pow b 2) (sin b))) (* -1/2 (sin b)))))))) (+ (* -1 (* (pow b 2) (sin b))) (* -1/2 (sin b))))) (* -1 (* b (sin b)))))) |
(/ (sin b) (- (cos a) (* b (sin a)))) |
(/ (sin b) (- (cos a) (* b (sin a)))) |
(/ (sin b) (- (cos a) (* b (sin a)))) |
(/ (sin b) (- (cos a) (* b (sin a)))) |
(/ (sin b) (- (cos a) (* b (sin a)))) |
(/ (sin b) (- (cos a) (* b (sin a)))) |
(/ (sin b) (- (cos a) (* b (sin a)))) |
(/ (sin b) (- (cos a) (* b (sin a)))) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* a b) |
(* a (+ b (* -1/6 (* (pow a 2) b)))) |
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* 1/120 (* (pow a 2) b)))))) |
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) b)) (* 1/120 b))))))) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(* b (sin a)) |
(/ (* 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 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1/6 (/ r (cos a))) (/ (* b (* (sin a) (- (* -1/6 (/ r (cos a))) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))))) (cos a))) (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* -1 (/ (* r (sin b)) (* b (sin a)))) |
(/ (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2))))) b) |
(/ (- (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (* (pow b 2) (pow (sin a) 3))))) (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2)))) b) |
(/ (- (+ (* -1 (/ (* r (sin b)) (sin a))) (* -1 (/ (* r (* (pow (cos a) 3) (sin b))) (* (pow b 3) (pow (sin a) 4))))) (+ (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2))) (/ (* r (* (pow (cos a) 2) (sin b))) (* (pow b 2) (pow (sin a) 3))))) b) |
(* -1 (/ (* r (sin b)) (* b (sin a)))) |
(* -1 (/ (+ (/ (* r (sin b)) (sin a)) (/ (* r (* (cos a) (sin b))) (* b (pow (sin a) 2)))) b)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (* b (pow (sin a) 3)))) (/ (* r (* (cos a) (sin b))) (pow (sin a) 2))) b)) (/ (* r (sin b)) (sin a))) b)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r (* (pow (cos a) 3) (sin b))) (* b (pow (sin a) 4))) (* -1 (/ (* r (* (pow (cos a) 2) (sin b))) (pow (sin a) 3)))) b)) (/ (* r (* (cos a) (sin b))) (pow (sin a) 2))) b)) (/ (* r (sin b)) (sin a))) b)) |
(* r (sin b)) |
(+ (* a (* b (* r (sin b)))) (* r (sin b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b)))))) (* -1 (* b (* r (sin b)))))) (* r (sin b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* b (* r (sin b)))) (+ (* 1/6 (* b (* r (sin b)))) (* b (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b))))))))) (+ (* -1 (* (pow b 2) (* r (sin b)))) (* -1/2 (* r (sin b)))))) (* -1 (* b (* r (sin b)))))) (* r (sin b))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ (* r (sin b)) (- (cos a) (* b (sin a)))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ -1 (* r (sin b))) |
(/ -1 (* r (sin b))) |
(/ -1 (* r (sin b))) |
(/ -1 (* r (sin b))) |
(/ 1 (* b r)) |
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b) |
(/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b) |
(/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (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))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* -1 (* r (sin b))) |
(* -1 (* r (sin b))) |
(* -1 (* r (sin b))) |
(* -1 (* 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)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* 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 (/ (* r (sin b)) (cos (+ a b)))) |
(* -1 (/ (* r (sin b)) (cos (+ a b)))) |
(* -1 (/ (* r (sin b)) (cos (+ a b)))) |
(* -1 (/ (* 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)))) |
| Outputs |
|---|
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 b (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (fma.f64 b (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (fma.f64 b (-.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (sin.f64 a) (cos.f64 a)))) (neg.f64 b) (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(* -1 (/ (* r (sin b)) (cos (+ a b)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a))) |
(* -1 (/ (* r (sin b)) (cos (+ a b)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a))) |
(* -1 (/ (* r (sin b)) (cos (+ a b)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a))) |
(* -1 (/ (* r (sin b)) (cos (+ a b)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a))) |
(/ (* b r) (cos a)) |
(/.f64 (*.f64 b r) (cos.f64 a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (fma.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (cos.f64 a))) (/.f64 (*.f64 #s(literal -1/2 binary64) r) (cos.f64 a))) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 b (+.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 a)) (-.f64 (fma.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (cos.f64 a))) (/.f64 (*.f64 #s(literal -1/2 binary64) r) (cos.f64 a)))) (cos.f64 a))) (fma.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (cos.f64 a)))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 a (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 a (fma.f64 a (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (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 (sin.f64 b) 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 (fma.f64 a (fma.f64 (neg.f64 a) (fma.f64 (sin.f64 b) (/.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))) (cos.f64 b)) (*.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (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 (sin.f64 b) r) (cos.f64 b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
Compiled 35 662 to 2 798 computations (92.2% saved)
98 alts after pruning (93 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 425 | 43 | 1 468 |
| Fresh | 23 | 50 | 73 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 450 | 98 | 1 548 |
| Status | Accuracy | Program |
|---|---|---|
| 42.8% | (pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 35.2% | (/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (cos.f64 a)) | |
| 52.4% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (cos.f64 a)) | |
| 99.2% | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 99.3% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 20.3% | (/.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) r)) (sqrt.f64 r)) (cos.f64 a)) | |
| ▶ | 61.4% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
| 49.3% | (/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))) | |
| 49.1% | (/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 a)) | |
| ▶ | 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| ✓ | 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
| 68.9% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a)))) | |
| 62.9% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 34.9% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 60.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) | |
| 47.8% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (neg.f64 (-.f64 a b))))) | |
| ✓ | 52.8% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
| 49.6% | (/.f64 (*.f64 r b) (cos.f64 a)) | |
| 49.0% | (/.f64 (*.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)) (cos.f64 (+.f64 a b))) | |
| 49.3% | (/.f64 (*.f64 b r) (cos.f64 (+.f64 a b))) | |
| 18.5% | (/.f64 (sqrt.f64 (*.f64 (*.f64 r r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (cos.f64 a)) | |
| 17.6% | (/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a))) | |
| 39.6% | (/.f64 (fabs.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a)) | |
| 33.6% | (/.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 b) r))))) (cos.f64 a)) | |
| ▶ | 76.6% | (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))))) |
| 77.1% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 49.5% | (/.f64 r (/.f64 (cos.f64 a) b)) | |
| 76.6% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) r)) | |
| 76.6% | (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) | |
| 76.7% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) | |
| 52.4% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 (sin.f64 b) r))) | |
| 49.1% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) | |
| 76.6% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) | |
| ▶ | 28.7% | (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)) |
| 33.8% | (*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) | |
| 30.6% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) | |
| 34.8% | (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) | |
| 77.1% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) #s(literal 1 binary64))) | |
| 57.8% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64))) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (sin.f64 b) r))))) | |
| 98.6% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (pow.f64 r #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 98.4% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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) (sin.f64 b))) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) (/.f64 #s(literal 1 binary64) r))) | |
| 76.9% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 76.5% | (*.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))) #s(literal 2 binary64)) | |
| 98.3% | (*.f64 (/.f64 (*.f64 (sin.f64 b) (-.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (sin.f64 (neg.f64 b)) (*.f64 (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))) r) | |
| 98.6% | (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 55.7% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))) | |
| 99.3% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (cos.f64 (-.f64 a b))) | |
| 61.5% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 b)) | |
| 53.0% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 a)) | |
| 53.0% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) | |
| 59.8% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (fma.f64 (*.f64 a a) (*.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (cos.f64 b)))) r) | |
| 99.3% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))))) r) | |
| 59.9% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) r) | |
| ✓ | 99.4% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r) |
| 62.9% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))) r) | |
| 53.8% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) r) | |
| 59.9% | (*.f64 (/.f64 (sin.f64 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)))) r) | |
| 99.4% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r) | |
| 88.6% | (*.f64 (/.f64 (sin.f64 b) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))))) r) | |
| 98.7% | (*.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) r) | |
| 77.1% | (*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) r) | |
| 61.3% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) | |
| 98.7% | (*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))) | |
| 77.2% | (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) | |
| 49.5% | (*.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) | |
| 30.6% | (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 b))) | |
| 49.5% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) | |
| 49.5% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) | |
| ▶ | 76.5% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
| 77.0% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) r) | |
| 98.9% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 98.2% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (neg.f64 (*.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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))) | |
| 61.1% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 b))) | |
| 17.6% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) | |
| 76.3% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 r #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (pow.f64 r #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) | |
| 77.0% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) | |
| 77.0% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 77.1% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r)) | |
| 52.8% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (sin.f64 b) r)) | |
| 98.7% | (*.f64 (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) r) | |
| 77.0% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) | |
| 46.3% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sqrt.f64 (*.f64 (sin.f64 b) r))) (sqrt.f64 (*.f64 (sin.f64 b) r))) | |
| 77.1% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r) | |
| 77.1% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) | |
| 30.0% | (*.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) r)) (sqrt.f64 r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) | |
| 49.4% | (*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) | |
| 52.8% | (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) | |
| 37.4% | (*.f64 (sin.f64 b) r) | |
| 17.6% | (*.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) | |
| 43.8% | (*.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) | |
| 33.0% | (*.f64 r (/.f64 b (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 33.0% | (*.f64 r (/.f64 b (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) | |
| 33.2% | (*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 49.6% | (*.f64 r (/.f64 b (cos.f64 a))) |
| 49.6% | (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)) | |
| ✓ | 33.9% | (*.f64 r b) |
| 49.6% | (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) | |
| 24.0% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
Compiled 4 211 to 2 566 computations (39.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))) |
| ✓ | cost-diff | 0 | (-.f64 a b) |
| ✓ | cost-diff | 0 | (cos.f64 (-.f64 a b)) |
| ✓ | cost-diff | 14208 | (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) r) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) |
| ✓ | cost-diff | 0 | (cos.f64 b) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 b) r) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
| ✓ | cost-diff | 0 | (*.f64 r b) |
| ✓ | cost-diff | 0 | (*.f64 a a) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)) |
| ✓ | cost-diff | 0 | (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (*.f64 r (sin.f64 b)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 4 612× | lower-*.f32 |
| 4 596× | lower-*.f64 |
| 2 408× | lower-fma.f32 |
| 2 404× | lower-fma.f64 |
| 1 812× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 212 |
| 0 | 67 | 204 |
| 1 | 110 | 192 |
| 2 | 198 | 192 |
| 3 | 440 | 192 |
| 4 | 1075 | 192 |
| 5 | 2428 | 192 |
| 6 | 3702 | 192 |
| 7 | 5106 | 192 |
| 0 | 8223 | 192 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
(sin.f64 (neg.f64 b)) |
(neg.f64 b) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)) |
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 a a) |
a |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 r b) |
r |
b |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
b |
r |
(cos.f64 b) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) |
#s(literal 1 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) r) |
r |
(sin.f64 b) |
b |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))))) |
(cos.f64 (-.f64 a b)) |
(-.f64 a b) |
a |
b |
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(sin.f64 (neg.f64 b)) |
(neg.f64 b) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 r (fma.f64 (*.f64 a a) (*.f64 b #s(literal 1/2 binary64)) b)) |
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 a (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 a a) |
a |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 r b) |
r |
b |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(*.f64 (sin.f64 b) r) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
b |
r |
(cos.f64 b) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) |
(*.f64 r (sin.f64 b)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(/.f64 #s(literal 1 binary64) r) |
r |
(sin.f64 b) |
b |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 b a)) |
(+.f64 a b) |
(+.f64 b a) |
a |
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(cos.f64 (-.f64 a b)) |
(-.f64 a b) |
a |
b |
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))) |
(*.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) |
| ✓ | accuracy | 99.1% | (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))))) |
| ✓ | accuracy | 77.5% | (cos.f64 (-.f64 a b)) |
| ✓ | accuracy | 77.3% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 99.6% | (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) |
| ✓ | accuracy | 77.3% | (cos.f64 (+.f64 a b)) |
| ✓ | accuracy | 100.0% | (sin.f64 b) |
| ✓ | accuracy | 100.0% | (cos.f64 b) |
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 b) r) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 r b) |
| ✓ | accuracy | 100.0% | (*.f64 a a) |
| ✓ | accuracy | 91.8% | (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)) |
| ✓ | accuracy | 99.9% | (*.f64 (cos.f64 b) (cos.f64 a)) |
| ✓ | accuracy | 99.8% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 99.8% | (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 133.0ms | 181× | 1 | valid |
| 22.0ms | 75× | 0 | valid |
Compiled 218 to 39 computations (82.1% saved)
ival-cos: 35.0ms (28.3% of total)ival-mult: 22.0ms (17.8% of total)ival-sin: 21.0ms (17% of total)ival-div: 16.0ms (13% of total)ival-add: 14.0ms (11.3% of total)adjust: 12.0ms (9.7% of total)ival-sub: 2.0ms (1.6% of total)ival-neg: 2.0ms (1.6% 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 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))> |
#<alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))> |
#<alt (*.f64 r (sin.f64 b))> |
#<alt (*.f64 (cos.f64 b) (cos.f64 a))> |
#<alt (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b))> |
#<alt (*.f64 a a)> |
#<alt (*.f64 r b)> |
#<alt (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64))> |
#<alt (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))> |
#<alt (*.f64 (sin.f64 b) r)> |
#<alt (cos.f64 b)> |
#<alt (sin.f64 b)> |
#<alt (cos.f64 (+.f64 a b))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))> |
#<alt (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))> |
#<alt (cos.f64 (+.f64 b a))> |
#<alt (cos.f64 (-.f64 a b))> |
#<alt (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))))> |
#<alt (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b)))> |
| Outputs |
|---|
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg 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 (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg 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 (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* a (sin (neg b))))> |
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))> |
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg 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))> |
#<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 (* b r)> |
#<alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))> |
#<alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))> |
#<alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))> |
#<alt (* 1/2 (* (pow a 2) (* b r)))> |
#<alt (* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))> |
#<alt (* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))> |
#<alt (* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))> |
#<alt (* 1/2 (* (pow a 2) (* b r)))> |
#<alt (* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))> |
#<alt (* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))> |
#<alt (* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2))))> |
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))> |
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))> |
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))> |
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))> |
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))> |
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))> |
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))> |
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))> |
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))> |
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))> |
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))> |
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))> |
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))> |
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))> |
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))> |
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))> |
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))> |
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))> |
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))> |
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))> |
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))> |
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))> |
#<alt (* b (* r (+ 1 (* 1/2 (pow a 2)))))> |
#<alt (* b (* r (+ 1 (* 1/2 (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 (pow a 2)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow a 2)))> |
#<alt (+ 1 (* 1/2 (pow a 2)))> |
#<alt (+ 1 (* 1/2 (pow a 2)))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 (pow a 2))))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 (pow a 2))))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 (pow a 2))))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 (pow a 2))))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 (pow a 2))))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 (pow a 2))))> |
#<alt (* b r)> |
#<alt (* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r)))))> |
#<alt (* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))> |
#<alt (* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (+ (* 1/120 r) (* (pow b 2) (- (* -1/5040 r) (+ (* -1/2 (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r)))) (+ (* -1/720 r) (* 1/24 (- (* -1/6 r) (* -1/2 r)))))))) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r)))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (/ (* r (sin b)) (cos 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 (* 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 1> |
#<alt (+ 1 (* -1/2 (pow b 2)))> |
#<alt (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))> |
#<alt (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt 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)))> |
#<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 (/ (* 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 (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* b r))> |
#<alt (/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b)> |
#<alt (/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b)> |
#<alt (/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b)> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (/ 1 (* r (sin b)))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (neg b))> |
#<alt (+ (cos (neg b)) (* -1 (* a (sin (neg b)))))> |
#<alt (+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b)))))> |
#<alt (+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b)))))> |
#<alt (cos (- a b))> |
#<alt (cos (- a b))> |
#<alt (cos (- a b))> |
#<alt (cos (- a b))> |
#<alt (cos (neg (+ b (* -1 a))))> |
#<alt (cos (neg (+ b (* -1 a))))> |
#<alt (cos (neg (+ b (* -1 a))))> |
#<alt (cos (neg (+ b (* -1 a))))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* b (sin a)))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a)))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* -1/6 (* b (sin a))))) (* -1 (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 (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* 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 (+ 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 (/ (cos (neg b)) (* r (sin b)))> |
#<alt (+ (* -1 (/ (* a (sin (neg b))) (* r (sin b)))) (/ (cos (neg b)) (* r (sin b))))> |
#<alt (+ (* a (+ (* -1 (/ (sin (neg b)) (* r (sin b)))) (* -1/2 (/ (* a (cos (neg b))) (* r (sin b)))))) (/ (cos (neg b)) (* r (sin b))))> |
#<alt (+ (* a (+ (* -1 (/ (sin (neg b)) (* r (sin b)))) (* a (+ (* -1/2 (/ (cos (neg b)) (* r (sin b)))) (* 1/6 (/ (* a (sin (neg b))) (* r (sin b)))))))) (/ (cos (neg b)) (* r (sin b))))> |
#<alt (/ (cos (- a b)) (* r (sin b)))> |
#<alt (/ (cos (- a b)) (* r (sin b)))> |
#<alt (/ (cos (- a b)) (* r (sin b)))> |
#<alt (/ (cos (- a b)) (* r (sin b)))> |
#<alt (/ (cos (neg (+ b (* -1 a)))) (* r (sin b)))> |
#<alt (/ (cos (neg (+ b (* -1 a)))) (* r (sin b)))> |
#<alt (/ (cos (neg (+ b (* -1 a)))) (* r (sin b)))> |
#<alt (/ (cos (neg (+ b (* -1 a)))) (* r (sin b)))> |
#<alt (/ (cos a) (* b r))> |
#<alt (/ (+ (/ (cos a) r) (/ (* b (sin a)) r)) b)> |
#<alt (/ (+ (* b (+ (* b (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (/ (sin a) r))) (/ (cos a) r)) b)> |
#<alt (/ (+ (* b (+ (* b (- (+ (* -1/2 (/ (cos a) r)) (* (pow b 2) (- (* 1/24 (/ (cos a) r)) (+ (* -1/6 (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (* 1/120 (/ (cos a) r)))))) (* -1/6 (/ (cos a) r)))) (/ (sin a) r))) (/ (cos a) r)) b)> |
#<alt (/ (cos (- a b)) (* r (sin b)))> |
#<alt (/ (cos (- a b)) (* r (sin b)))> |
#<alt (/ (cos (- a b)) (* r (sin b)))> |
#<alt (/ (cos (- a b)) (* r (sin b)))> |
#<alt (/ (cos (+ a (* -1 b))) (* r (sin b)))> |
#<alt (/ (cos (+ a (* -1 b))) (* r (sin b)))> |
#<alt (/ (cos (+ a (* -1 b))) (* r (sin b)))> |
#<alt (/ (cos (+ a (* -1 b))) (* r (sin b)))> |
#<alt (/ (cos (- a b)) (* r (sin b)))> |
#<alt (/ (cos (- a b)) (* r (sin b)))> |
#<alt (/ (cos (- a b)) (* r (sin b)))> |
#<alt (/ (cos (- a b)) (* r (sin b)))> |
#<alt (/ (cos (- a b)) (* r (sin b)))> |
#<alt (/ (cos (- a b)) (* r (sin b)))> |
#<alt (/ (cos (- a b)) (* r (sin b)))> |
#<alt (/ (cos (- a b)) (* r (sin b)))> |
#<alt (/ (cos (- a b)) (* r (sin b)))> |
#<alt (/ (cos (- a b)) (* r (sin b)))> |
#<alt (/ (cos (- a b)) (* r (sin b)))> |
#<alt (/ (cos (- a b)) (* r (sin b)))> |
123 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | b | @ | 0 | (/ (cos (- a b)) (* r (sin b))) |
| 1.0ms | r | @ | 0 | (* (+ (* (* a a) 1/2) 1) (* r b)) |
| 1.0ms | r | @ | 0 | (/ (cos (- a b)) (* r (sin b))) |
| 1.0ms | b | @ | 0 | (* (+ (* (* a a) 1/2) 1) (* r b)) |
| 1.0ms | a | @ | inf | (* (+ (* (* a a) 1/2) 1) (* r b)) |
| 1× | batch-egg-rewrite |
| 4 922× | lower-/.f32 |
| 4 906× | lower-/.f64 |
| 3 944× | lower-*.f32 |
| 3 928× | lower-*.f64 |
| 2 980× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 142 |
| 0 | 67 | 153 |
| 1 | 235 | 118 |
| 2 | 1501 | 115 |
| 0 | 8706 | 115 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 a a) |
(*.f64 r b) |
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(*.f64 (sin.f64 b) r) |
(cos.f64 b) |
(sin.f64 b) |
(cos.f64 (+.f64 a b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b)) |
(cos.f64 (+.f64 b a)) |
(cos.f64 (-.f64 a b)) |
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))))) |
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 (neg.f64 (log.f64 (*.f64 r (sin.f64 b)))) #s(literal -1 binary64) (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.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) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.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 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 b a)) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a))))) |
(/.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 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))) |
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(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))) #s(literal -1 binary64))) |
(*.f64 (cos.f64 (-.f64 a b)) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (cos.f64 (-.f64 a b))) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 (cos.f64 (-.f64 a b)) (sin.f64 (neg.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (-.f64 a b)) r)) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) r) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) r) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b)))))) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 r (sin.f64 b)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 r (sin.f64 b)) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (sin.f64 b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) r)) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (sin.f64 b) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) r))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (-.f64 a b)) (neg.f64 r))) |
| 1× | egg-herbie |
| 8 828× | lower-fma.f64 |
| 8 828× | lower-fma.f32 |
| 7 280× | lower-*.f64 |
| 7 280× | lower-*.f32 |
| 2 366× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 419 | 5104 |
| 1 | 1311 | 4878 |
| 2 | 4160 | 4777 |
| 0 | 8837 | 4567 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (cos b)) |
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(cos b) |
(+ (cos b) (* a (sin (neg b)))) |
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b))))))))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(* r (sin b)) |
(* 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) (* -1/2 (* (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)) |
(* b r) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(* 1/2 (* (pow a 2) (* b r))) |
(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2)))) |
(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2)))) |
(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2)))) |
(* 1/2 (* (pow a 2) (* b r))) |
(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2)))) |
(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2)))) |
(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2)))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(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) |
(* 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 (* 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) |
(* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r))))) |
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r))))) |
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (+ (* 1/120 r) (* (pow b 2) (- (* -1/5040 r) (+ (* -1/2 (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r)))) (+ (* -1/720 r) (* 1/24 (- (* -1/6 r) (* -1/2 r)))))))) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r))))) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos 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)) |
(* 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)) |
1 |
(+ 1 (* -1/2 (pow b 2))) |
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2))) |
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2))) |
(cos b) |
(cos b) |
(cos b) |
(cos b) |
(cos b) |
(cos b) |
(cos b) |
(cos b) |
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))) |
(* 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)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* 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)))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* b r)) |
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b) |
(/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b) |
(/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* 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 b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (neg b)) |
(+ (cos (neg b)) (* -1 (* a (sin (neg b))))) |
(+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b))))) |
(+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b))))) |
(cos (- a b)) |
(cos (- a b)) |
(cos (- a b)) |
(cos (- a b)) |
(cos (neg (+ b (* -1 a)))) |
(cos (neg (+ b (* -1 a)))) |
(cos (neg (+ b (* -1 a)))) |
(cos (neg (+ b (* -1 a)))) |
(cos a) |
(+ (cos a) (* b (sin a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a))))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* -1/6 (* b (sin a))))) (* -1 (sin a))))) |
(cos (- a b)) |
(cos (- a b)) |
(cos (- a b)) |
(cos (- a b)) |
(cos (+ a (* -1 b))) |
(cos (+ a (* -1 b))) |
(cos (+ a (* -1 b))) |
(cos (+ a (* -1 b))) |
(/ (* 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 (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 (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (cos (neg b)) (* r (sin b))) |
(+ (* -1 (/ (* a (sin (neg b))) (* r (sin b)))) (/ (cos (neg b)) (* r (sin b)))) |
(+ (* a (+ (* -1 (/ (sin (neg b)) (* r (sin b)))) (* -1/2 (/ (* a (cos (neg b))) (* r (sin b)))))) (/ (cos (neg b)) (* r (sin b)))) |
(+ (* a (+ (* -1 (/ (sin (neg b)) (* r (sin b)))) (* a (+ (* -1/2 (/ (cos (neg b)) (* r (sin b)))) (* 1/6 (/ (* a (sin (neg b))) (* r (sin b)))))))) (/ (cos (neg b)) (* r (sin b)))) |
(/ (cos (- a b)) (* r (sin b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/ (cos (neg (+ b (* -1 a)))) (* r (sin b))) |
(/ (cos (neg (+ b (* -1 a)))) (* r (sin b))) |
(/ (cos (neg (+ b (* -1 a)))) (* r (sin b))) |
(/ (cos (neg (+ b (* -1 a)))) (* r (sin b))) |
(/ (cos a) (* b r)) |
(/ (+ (/ (cos a) r) (/ (* b (sin a)) r)) b) |
(/ (+ (* b (+ (* b (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (/ (sin a) r))) (/ (cos a) r)) b) |
(/ (+ (* b (+ (* b (- (+ (* -1/2 (/ (cos a) r)) (* (pow b 2) (- (* 1/24 (/ (cos a) r)) (+ (* -1/6 (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (* 1/120 (/ (cos a) r)))))) (* -1/6 (/ (cos a) r)))) (/ (sin a) r))) (/ (cos a) r)) b) |
(/ (cos (- a b)) (* r (sin b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/ (cos (+ a (* -1 b))) (* r (sin b))) |
(/ (cos (+ a (* -1 b))) (* r (sin b))) |
(/ (cos (+ a (* -1 b))) (* r (sin b))) |
(/ (cos (+ a (* -1 b))) (* r (sin b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/ (cos (- a b)) (* r (sin b))) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* b r) (cos a)) |
(/.f64 (*.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 #s(literal 1/2 binary64)) (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 b (fma.f64 (sin.f64 a) (/.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 #s(literal 1/2 binary64)) (cos.f64 a)))) (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (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 #s(literal 1/2 binary64)) (cos.f64 a))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
(fma.f64 a (fma.f64 a (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (*.f64 r #s(literal 1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b)))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
(fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 (sin.f64 b) (/.f64 (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (*.f64 r #s(literal 1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b)))) (cos.f64 b)) (neg.f64 (/.f64 (neg.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))))) (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (*.f64 r #s(literal 1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b))))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(-.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 b (*.f64 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 (-.f64 (*.f64 b (fma.f64 b (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (sin.f64 a)) (cos.f64 a)) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
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(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))) |
(cos b) |
(cos.f64 b) |
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(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))) |
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(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))) |
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(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
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(pow a 2) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow a 2))) |
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(+ 1 (* 1/2 (pow a 2))) |
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(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
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(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
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(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 (-.f64 (*.f64 a (fma.f64 a (*.f64 (sin.f64 b) #s(literal 1/6 binary64)) (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) (sin.f64 b)) (cos.f64 b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (neg b)) |
(cos.f64 b) |
(+ (cos (neg b)) (* -1 (* a (sin (neg b))))) |
(fma.f64 (sin.f64 b) a (cos.f64 b)) |
(+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b))))) |
(fma.f64 a (fma.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)) |
(+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b))))) |
(fma.f64 a (fma.f64 a (fma.f64 (cos.f64 b) #s(literal -1/2 binary64) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (sin.f64 b))) (sin.f64 b)) (cos.f64 b)) |
(cos (- a b)) |
(cos.f64 (-.f64 b a)) |
(cos (- a b)) |
(cos.f64 (-.f64 b a)) |
(cos (- a b)) |
(cos.f64 (-.f64 b a)) |
(cos (- a b)) |
(cos.f64 (-.f64 b a)) |
(cos (neg (+ b (* -1 a)))) |
(cos.f64 (-.f64 b a)) |
(cos (neg (+ b (* -1 a)))) |
(cos.f64 (-.f64 b a)) |
(cos (neg (+ b (* -1 a)))) |
(cos.f64 (-.f64 b a)) |
(cos (neg (+ b (* -1 a)))) |
(cos.f64 (-.f64 b a)) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* b (sin a))) |
(fma.f64 b (sin.f64 a) (cos.f64 a)) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a))))) |
(fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* -1/6 (* b (sin a))))) (* -1 (sin a))))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (sin.f64 a)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) |
(cos (- a b)) |
(cos.f64 (-.f64 b a)) |
(cos (- a b)) |
(cos.f64 (-.f64 b a)) |
(cos (- a b)) |
(cos.f64 (-.f64 b a)) |
(cos (- a b)) |
(cos.f64 (-.f64 b a)) |
(cos (+ a (* -1 b))) |
(cos.f64 (-.f64 b a)) |
(cos (+ a (* -1 b))) |
(cos.f64 (-.f64 b a)) |
(cos (+ a (* -1 b))) |
(cos.f64 (-.f64 b a)) |
(cos (+ a (* -1 b))) |
(cos.f64 (-.f64 b a)) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 a (fma.f64 a (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (*.f64 r #s(literal 1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b)))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (*.f64 r #s(literal 1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b)))) (/.f64 (sin.f64 b) (cos.f64 b)) (neg.f64 (*.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 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (*.f64 r #s(literal 1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b))))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* b 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 #s(literal 1/2 binary64)) (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 b (fma.f64 (sin.f64 a) (/.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 #s(literal 1/2 binary64)) (cos.f64 a)))) (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (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 #s(literal 1/2 binary64)) (cos.f64 a))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(/ (* r (sin b)) (cos (+ a 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 (+ 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))) |
(/ (cos (neg b)) (* r (sin b))) |
(/.f64 (cos.f64 b) (*.f64 r (sin.f64 b))) |
(+ (* -1 (/ (* a (sin (neg b))) (* r (sin b)))) (/ (cos (neg b)) (* r (sin b)))) |
(+.f64 (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b))) (/.f64 a r)) |
(+ (* a (+ (* -1 (/ (sin (neg b)) (* r (sin b)))) (* -1/2 (/ (* a (cos (neg b))) (* r (sin b)))))) (/ (cos (neg b)) (* r (sin b)))) |
(fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (cos.f64 b)) (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) r)) (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b)))) |
(+ (* a (+ (* -1 (/ (sin (neg b)) (* r (sin b)))) (* a (+ (* -1/2 (/ (cos (neg b)) (* r (sin b)))) (* 1/6 (/ (* a (sin (neg b))) (* r (sin b)))))))) (/ (cos (neg b)) (* r (sin b)))) |
(fma.f64 a (fma.f64 a (fma.f64 (cos.f64 b) (/.f64 #s(literal -1/2 binary64) (*.f64 r (sin.f64 b))) (*.f64 #s(literal -1/6 binary64) (/.f64 a r))) (/.f64 #s(literal 1 binary64) r)) (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b)))) |
(/ (cos (- a b)) (* r (sin b))) |
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))) |
(/ (cos (neg (+ b (* -1 a)))) (* r (sin b))) |
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))) |
(/ (cos (neg (+ b (* -1 a)))) (* r (sin b))) |
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))) |
(/ (cos (neg (+ b (* -1 a)))) (* r (sin b))) |
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))) |
(/ (cos (neg (+ b (* -1 a)))) (* r (sin b))) |
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))) |
(/ (cos a) (* b r)) |
(/.f64 (cos.f64 a) (*.f64 r b)) |
(/ (+ (/ (cos a) r) (/ (* b (sin a)) r)) b) |
(/.f64 (fma.f64 b (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b) |
(/ (+ (* b (+ (* b (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (/ (sin a) r))) (/ (cos a) r)) b) |
(/.f64 (fma.f64 b (fma.f64 b (*.f64 (/.f64 (cos.f64 a) r) #s(literal -1/3 binary64)) (/.f64 (sin.f64 a) r)) (/.f64 (cos.f64 a) r)) b) |
(/ (+ (* b (+ (* b (- (+ (* -1/2 (/ (cos a) r)) (* (pow b 2) (- (* 1/24 (/ (cos a) r)) (+ (* -1/6 (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (* 1/120 (/ (cos a) r)))))) (* -1/6 (/ (cos a) r)))) (/ (sin a) r))) (/ (cos a) r)) b) |
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (cos.f64 a) (/.f64 #s(literal 1/24 binary64) r) (fma.f64 (/.f64 (cos.f64 a) r) #s(literal -1/120 binary64) (*.f64 (/.f64 (cos.f64 a) r) #s(literal -1/18 binary64)))) (*.f64 (/.f64 (cos.f64 a) r) #s(literal -1/3 binary64))) (/.f64 (sin.f64 a) r)) (/.f64 (cos.f64 a) r)) b) |
(/ (cos (- a b)) (* r (sin b))) |
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))) |
(/ (cos (+ a (* -1 b))) (* r (sin b))) |
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))) |
(/ (cos (+ a (* -1 b))) (* r (sin b))) |
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))) |
(/ (cos (+ a (* -1 b))) (* r (sin b))) |
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))) |
(/ (cos (+ a (* -1 b))) (* r (sin b))) |
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))) |
(/ (cos (- a b)) (* r (sin b))) |
(/.f64 (cos.f64 (-.f64 b a)) (*.f64 r (sin.f64 b))) |
Compiled 38 906 to 2 702 computations (93.1% saved)
99 alts after pruning (91 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 560 | 31 | 1 591 |
| Fresh | 28 | 60 | 88 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 590 | 99 | 1 689 |
| Status | Accuracy | Program |
|---|---|---|
| 42.8% | (pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 35.2% | (/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (cos.f64 a)) | |
| 36.6% | (/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (cos.f64 b)) | |
| 30.7% | (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64)) (cos.f64 b)) | |
| 99.3% | (/.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 99.3% | (/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 61.2% | (/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 b)) | |
| 52.4% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (cos.f64 a)) | |
| 98.8% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 99.2% | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 99.1% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64)))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) | |
| 61.1% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64)))) (cos.f64 b)) | |
| 20.3% | (/.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) r)) (sqrt.f64 r)) (cos.f64 a)) | |
| ✓ | 61.4% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
| 59.9% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (fma.f64 (*.f64 a a) (*.f64 (cos.f64 b) (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) (cos.f64 b)))) | |
| ✓ | 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| 62.9% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))) | |
| 53.8% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) | |
| 59.9% | (/.f64 (*.f64 r (sin.f64 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)))) | |
| ✓ | 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
| 60.4% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) | |
| 47.8% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (neg.f64 (-.f64 a b))))) | |
| ✓ | 52.8% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
| 49.6% | (/.f64 (*.f64 r b) (cos.f64 a)) | |
| 18.5% | (/.f64 (sqrt.f64 (*.f64 (*.f64 r r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (cos.f64 a)) | |
| 17.6% | (/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a))) | |
| 39.6% | (/.f64 (fabs.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a)) | |
| 34.9% | (/.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) (cos.f64 b)) | |
| 33.6% | (/.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 b) r))))) (cos.f64 a)) | |
| 98.8% | (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))))) | |
| 49.8% | (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (fma.f64 b (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b))) | |
| 76.5% | (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (-.f64 a b)) r) (sin.f64 b)))) | |
| 52.5% | (/.f64 (cos.f64 a) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))))) | |
| 77.1% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 49.5% | (/.f64 r (/.f64 (cos.f64 a) b)) | |
| 26.8% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b)))) | |
| 76.6% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a))))) | |
| 76.6% | (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) | |
| 76.7% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) | |
| 52.4% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 (sin.f64 b) r))) | |
| 49.1% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) | |
| 61.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) | |
| ✓ | 28.7% | (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)) |
| 77.1% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) #s(literal 1 binary64))) | |
| 57.8% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64))) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (sin.f64 b) r))))) | |
| 98.6% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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) r)) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 76.9% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 76.5% | (*.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))) #s(literal 2 binary64)) | |
| 98.3% | (*.f64 (/.f64 (*.f64 (sin.f64 b) (-.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (sin.f64 (neg.f64 b)) (*.f64 (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))) r) | |
| 55.7% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))) | |
| 99.3% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (cos.f64 (-.f64 a b))) | |
| 61.5% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 b)) | |
| 53.0% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 a)) | |
| 53.0% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) | |
| 99.3% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))))) r) | |
| 59.9% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) r) | |
| ✓ | 99.4% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r) |
| 62.9% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))) r) | |
| 53.8% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) r) | |
| 99.4% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r) | |
| 98.7% | (*.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) r) | |
| 77.1% | (*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) r) | |
| 61.3% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) | |
| 61.3% | (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) | |
| 49.5% | (*.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) | |
| 30.6% | (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 b))) | |
| 49.5% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) | |
| 49.5% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) | |
| 98.7% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 77.0% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) r) | |
| 98.9% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 98.2% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (neg.f64 (*.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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))) | |
| 17.6% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) | |
| 77.0% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) | |
| 61.3% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 r (sin.f64 b))) | |
| 52.8% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (sin.f64 b) r)) | |
| 98.7% | (*.f64 (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) r) | |
| 77.0% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) | |
| 77.1% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) | |
| 30.0% | (*.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) r)) (sqrt.f64 r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) | |
| 12.2% | (*.f64 (*.f64 r b) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) | |
| 52.8% | (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) | |
| 37.4% | (*.f64 (sin.f64 b) r) | |
| 17.6% | (*.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) | |
| 43.8% | (*.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) | |
| 33.0% | (*.f64 r (/.f64 b (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 33.0% | (*.f64 r (/.f64 b (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) | |
| 33.2% | (*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 49.6% | (*.f64 r (/.f64 b (cos.f64 a))) |
| 49.6% | (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)) | |
| 61.3% | (*.f64 r (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b)))) | |
| 61.4% | (*.f64 r (tan.f64 b)) | |
| ✓ | 33.9% | (*.f64 r b) |
| 33.5% | (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (fma.f64 r #s(literal -1/720 binary64) (*.f64 r #s(literal 1/72 binary64))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r)) | |
| 33.5% | (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) | |
| 33.5% | (*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r)) | |
| 49.6% | (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) | |
| 24.0% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) | |
| 27.6% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1 binary64))) |
Compiled 5 484 to 1 898 computations (65.4% saved)
| Inputs |
|---|
(*.f64 r b) |
(*.f64 (*.f64 r b) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 r (/.f64 b (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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b)))) |
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(/.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 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) #s(literal 1/2 binary64)) (cos.f64 (+.f64 b a))) (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (fma.f64 (*.f64 a a) (*.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (cos.f64 b)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (fma.f64 (*.f64 a a) (*.f64 (cos.f64 b) (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) (cos.f64 b)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (cos.f64 (-.f64 a b))) |
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64)))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) r) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(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 (neg.f64 (*.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 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(*.f64 (/.f64 (sin.f64 b) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))))) r) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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) r)) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (pow.f64 r #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b))))))) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64))) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (sin.f64 b) r))))) |
(*.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 (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 (neg.f64 (*.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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))) r) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (neg.f64 (*.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 (neg.f64 (*.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) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.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 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.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)))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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) (sin.f64 b))) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) (-.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (sin.f64 (neg.f64 b)) (*.f64 (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))) 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))))) |
4 calls:
| 94.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 74.0ms | b |
| 70.0ms | a |
| 50.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | r |
| 99.4% | 1 | a |
| 99.4% | 1 | b |
| 99.4% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 r b) |
(*.f64 (*.f64 r b) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 r (/.f64 b (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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (fma.f64 r #s(literal -1/720 binary64) (*.f64 r #s(literal 1/72 binary64))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 r (tan.f64 b)) |
(*.f64 (sin.f64 b) r) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b))) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) |
(/.f64 r (/.f64 (cos.f64 a) b)) |
(*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 a)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 (*.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)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (/.f64 #s(literal 7/360 binary64) r) (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(/.f64 (fabs.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (sin.f64 b) r)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 r (sin.f64 b))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 (sin.f64 b) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) r) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) |
(/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 b)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) r)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (cos.f64 a)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) r) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 r r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (cos.f64 a)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r))) (/.f64 #s(literal 1 binary64) (cos.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 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) r)) (sqrt.f64 r)) (cos.f64 a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) r)) (sqrt.f64 r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 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)))) r) |
(/.f64 (*.f64 r (sin.f64 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)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sqrt.f64 (*.f64 (sin.f64 b) r))) (sqrt.f64 (*.f64 (sin.f64 b) r))) |
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (cos.f64 b)) |
(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (cos.f64 a)) |
(/.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 b) r))))) (cos.f64 a)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) (cos.f64 b)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #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 (*.f64 (sin.f64 b) a)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 a)) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 b)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (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 a b)) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) r) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (sin.f64 a)) (cos.f64 a))) |
(/.f64 (cos.f64 a) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))))) |
(*.f64 b (fma.f64 (sin.f64 a) (/.f64 (*.f64 b r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64)))) (cos.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 r (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a)))) |
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (/.f64 r (cos.f64 (-.f64 a b)))) |
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (-.f64 a b)) r) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (cos.f64 b))) |
(/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64)) (cos.f64 b)) |
(*.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 r #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (pow.f64 r #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))) (/.f64 (*.f64 r (sin.f64 b)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (fma.f64 b (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64)) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r) |
4 calls:
| 46.0ms | r |
| 42.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 41.0ms | b |
| 41.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | r |
| 99.4% | 1 | a |
| 99.4% | 1 | b |
| 99.4% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 r b) |
(*.f64 (*.f64 r b) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 r (/.f64 b (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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (fma.f64 r #s(literal -1/720 binary64) (*.f64 r #s(literal 1/72 binary64))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 r (tan.f64 b)) |
(*.f64 (sin.f64 b) r) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b))) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) |
(/.f64 r (/.f64 (cos.f64 a) b)) |
(*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 a)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 (*.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)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (/.f64 #s(literal 7/360 binary64) r) (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(/.f64 (fabs.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (sin.f64 b) r)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 r (sin.f64 b))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 (sin.f64 b) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) r) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) |
(/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 b)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) r)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (cos.f64 a)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) r) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 r r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (cos.f64 a)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r))) (/.f64 #s(literal 1 binary64) (cos.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 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) r)) (sqrt.f64 r)) (cos.f64 a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) r)) (sqrt.f64 r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 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)))) r) |
(/.f64 (*.f64 r (sin.f64 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)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sqrt.f64 (*.f64 (sin.f64 b) r))) (sqrt.f64 (*.f64 (sin.f64 b) r))) |
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (cos.f64 b)) |
(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (cos.f64 a)) |
(/.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 b) r))))) (cos.f64 a)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) (cos.f64 b)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #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 (*.f64 (sin.f64 b) a)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 a)) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 b)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (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 a b)) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) r) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (sin.f64 a)) (cos.f64 a))) |
(/.f64 (cos.f64 a) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))))) |
(*.f64 b (fma.f64 (sin.f64 a) (/.f64 (*.f64 b r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64)))) (cos.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 r (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a)))) |
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (/.f64 r (cos.f64 (-.f64 a b)))) |
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (-.f64 a b)) r) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (cos.f64 b))) |
(/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64)) (cos.f64 b)) |
(*.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 r #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (pow.f64 r #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))) (/.f64 (*.f64 r (sin.f64 b)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (fma.f64 b (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64)) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) r) |
4 calls:
| 40.0ms | a |
| 40.0ms | r |
| 39.0ms | b |
| 39.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | r |
| 99.4% | 1 | a |
| 99.4% | 1 | b |
| 99.4% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 r b) |
(*.f64 (*.f64 r b) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 r (/.f64 b (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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (fma.f64 r #s(literal -1/720 binary64) (*.f64 r #s(literal 1/72 binary64))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 r (tan.f64 b)) |
(*.f64 (sin.f64 b) r) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b))) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) |
(/.f64 r (/.f64 (cos.f64 a) b)) |
(*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 a)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 (*.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)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (/.f64 #s(literal 7/360 binary64) r) (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(/.f64 (fabs.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (sin.f64 b) r)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 r (sin.f64 b))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 b a))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) r)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(*.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 (sin.f64 b) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) r) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) |
(/.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 b)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) r)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (cos.f64 a)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) r) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 r r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))))) (cos.f64 a)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r))) (/.f64 #s(literal 1 binary64) (cos.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 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) r)) (sqrt.f64 r)) (cos.f64 a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) r)) (sqrt.f64 r)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 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)))) r) |
(/.f64 (*.f64 r (sin.f64 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)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sqrt.f64 (*.f64 (sin.f64 b) r))) (sqrt.f64 (*.f64 (sin.f64 b) r))) |
(/.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (cos.f64 b)) |
(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (cos.f64 a)) |
(/.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 b) r))))) (cos.f64 a)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) (cos.f64 b)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) #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 (*.f64 (sin.f64 b) a)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 a)) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 b)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (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 a b)) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) r) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (-.f64 (*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (sin.f64 a)) (cos.f64 a))) |
(/.f64 (cos.f64 a) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))))) |
(*.f64 b (fma.f64 (sin.f64 a) (/.f64 (*.f64 b r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1/2 binary64))) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1/2 binary64)))) (cos.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 r (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 b a)))) |
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (/.f64 r (cos.f64 (-.f64 a b)))) |
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (/.f64 (cos.f64 (-.f64 a b)) r) (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (fma.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64)) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (cos.f64 b))) |
(/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64)) (cos.f64 b)) |
(*.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 r #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (pow.f64 r #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))) (/.f64 (*.f64 r (sin.f64 b)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 b a)) (/.f64 (fma.f64 b (/.f64 (sin.f64 a) r) (/.f64 (cos.f64 a) r)) b))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
4 calls:
| 41.0ms | a |
| 39.0ms | b |
| 39.0ms | r |
| 38.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.2% | 1 | r |
| 77.2% | 1 | a |
| 77.2% | 1 | b |
| 77.2% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 r b) |
(*.f64 (*.f64 r b) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 r (/.f64 b (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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (fma.f64 r #s(literal -1/720 binary64) (*.f64 r #s(literal 1/72 binary64))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 r (tan.f64 b)) |
(*.f64 (sin.f64 b) r) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b))) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) |
(/.f64 r (/.f64 (cos.f64 a) b)) |
(*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 a)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 (*.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)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (/.f64 #s(literal 7/360 binary64) r) (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(/.f64 (fabs.f64 (*.f64 (sin.f64 b) r)) (cos.f64 a)) |
| Outputs |
|---|
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) |
(*.f64 r (tan.f64 b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) |
4 calls:
| 13.0ms | a |
| 12.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 12.0ms | r |
| 11.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.1% | 3 | a |
| 65.3% | 3 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 61.4% | 1 | r |
| 77.0% | 3 | b |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 r b) |
(*.f64 (*.f64 r b) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 r (/.f64 b (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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (fma.f64 r #s(literal -1/720 binary64) (*.f64 r #s(literal 1/72 binary64))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 r (tan.f64 b)) |
(*.f64 (sin.f64 b) r) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b))) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) |
(/.f64 r (/.f64 (cos.f64 a) b)) |
(*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (tan.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 a)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b))) r) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 r (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 (*.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)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (/.f64 #s(literal 7/360 binary64) r) (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) |
| Outputs |
|---|
(*.f64 r (tan.f64 b)) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) |
(*.f64 r (tan.f64 b)) |
2 calls:
| 10.0ms | b |
| 10.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.0% | 3 | b |
| 75.7% | 3 | a |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(*.f64 (*.f64 r b) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 r (/.f64 b (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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (fma.f64 r #s(literal -1/720 binary64) (*.f64 r #s(literal 1/72 binary64))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 r (tan.f64 b)) |
(*.f64 (sin.f64 b) r) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 (*.f64 b r) (cos.f64 (+.f64 a b))) |
| Outputs |
|---|
(*.f64 r (tan.f64 b)) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(*.f64 r (tan.f64 b)) |
1 calls:
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.0% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(*.f64 (*.f64 r b) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 r (/.f64 b (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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (fma.f64 r #s(literal -1/720 binary64) (*.f64 r #s(literal 1/72 binary64))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 r (tan.f64 b)) |
(*.f64 (sin.f64 b) r) |
| Outputs |
|---|
(*.f64 r (tan.f64 b)) |
4 calls:
| 5.0ms | r |
| 5.0ms | a |
| 4.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 4.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.4% | 1 | r |
| 61.4% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 61.4% | 1 | a |
| 61.4% | 1 | b |
Compiled 24 to 17 computations (29.2% saved)
Total -15.5b remaining (-36.6%)
Threshold costs -15.5b (-36.6%)
| Inputs |
|---|
(*.f64 r b) |
(*.f64 (*.f64 r b) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 r (/.f64 b (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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 r b)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64)))) (fma.f64 r #s(literal -1/720 binary64) (*.f64 r #s(literal 1/72 binary64))))) (fma.f64 r #s(literal 1/120 binary64) (fma.f64 r #s(literal -1/24 binary64) (*.f64 r #s(literal 1/6 binary64))))) (*.f64 r #s(literal 1/3 binary64))) r)) |
| Outputs |
|---|
(*.f64 r b) |
4 calls:
| 4.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 4.0ms | b |
| 4.0ms | a |
| 4.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.9% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 33.9% | 1 | b |
| 33.9% | 1 | r |
| 33.9% | 1 | a |
Compiled 24 to 17 computations (29.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 2.2226222622285858e-5 | 7.51749055697458e+21 |
| 22.0ms | -9.238173421871135 | -5.584079262641169e-5 |
| 28.0ms | 163× | 1 | valid |
| 10.0ms | 157× | 0 | valid |
Compiled 395 to 294 computations (25.6% saved)
ival-cos: 10.0ms (35.4% of total)ival-sin: 7.0ms (24.8% of total)adjust: 3.0ms (10.6% of total)ival-mult: 3.0ms (10.6% of total)ival-add: 2.0ms (7.1% of total)ival-div: 2.0ms (7.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 3.4124132111875313e-23 | 8.093840301504903e-20 |
| 23.0ms | -0.008766626292142202 | -1.9013744317294092e-17 |
| 18.0ms | 130× | 1 | valid |
| 10.0ms | 158× | 0 | valid |
Compiled 375 to 284 computations (24.3% saved)
ival-cos: 6.0ms (32.1% of total)ival-add: 3.0ms (16.1% of total)ival-sin: 3.0ms (16.1% of total)ival-div: 2.0ms (10.7% of total)adjust: 2.0ms (10.7% of total)ival-mult: 2.0ms (10.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.4124132111875313e-23 | 8.093840301504903e-20 |
| 1.0ms | -0.008766626292142202 | -1.9013744317294092e-17 |
Compiled 339 to 248 computations (26.8% saved)
| 1× | egg-herbie |
| 32× | *-commutative_binary64 |
| 10× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 136 |
| 1 | 74 | 136 |
| 2 | 85 | 136 |
| 3 | 91 | 136 |
| 4 | 93 | 136 |
| 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 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) r) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(if (<=.f64 a #s(literal -2824657686286775/1152921504606846976 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) (if (<=.f64 a #s(literal 5534023222112865/4611686018427387904 binary64)) (*.f64 r (tan.f64 b)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))) |
(if (<=.f64 b #s(literal -6139076427730539/9444732965739290427392 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 6646139978924579/83076749736557242056487941267521536 binary64)) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) (*.f64 r (tan.f64 b)))) |
(if (<=.f64 b #s(literal -6139076427730539/9444732965739290427392 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 6646139978924579/83076749736557242056487941267521536 binary64)) (*.f64 r (/.f64 b (cos.f64 a))) (*.f64 r (tan.f64 b)))) |
(*.f64 r (tan.f64 b)) |
(*.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 a) (neg.f64 (sin.f64 b))))) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) r) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(if (<=.f64 a #s(literal -2824657686286775/1152921504606846976 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) (if (<=.f64 a #s(literal 5534023222112865/4611686018427387904 binary64)) (*.f64 r (tan.f64 b)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))) |
(if (<=.f64 b #s(literal -6139076427730539/9444732965739290427392 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 6646139978924579/83076749736557242056487941267521536 binary64)) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) (*.f64 r (tan.f64 b)))) |
(if (<=.f64 b #s(literal -6139076427730539/9444732965739290427392 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 6646139978924579/83076749736557242056487941267521536 binary64)) (*.f64 b (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)))) (*.f64 r (tan.f64 b)))) |
(if (<=.f64 b #s(literal -6139076427730539/9444732965739290427392 binary64)) (*.f64 r (tan.f64 b)) (if (<=.f64 b #s(literal 6646139978924579/83076749736557242056487941267521536 binary64)) (*.f64 r (/.f64 b (cos.f64 a))) (*.f64 r (tan.f64 b)))) |
(*.f64 r (tan.f64 b)) |
(*.f64 r b) |
| 10 934× | lower-fma.f64 |
| 10 934× | lower-fma.f32 |
| 8 196× | lower-fma.f64 |
| 8 196× | lower-fma.f32 |
| 7 828× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 131 |
| 0 | 53 | 97 |
| 1 | 194 | 97 |
| 2 | 1353 | 97 |
| 0 | 8527 | 97 |
| 0 | 459 | 5212 |
| 1 | 1505 | 4948 |
| 2 | 4959 | 4842 |
| 0 | 8790 | 4668 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 44 | 19 |
| 2 | 234 | 19 |
| 3 | 2050 | 19 |
| 0 | 8438 | 19 |
| 0 | 35 | 142 |
| 0 | 67 | 153 |
| 1 | 235 | 118 |
| 2 | 1501 | 115 |
| 0 | 8706 | 115 |
| 0 | 29 | 138 |
| 0 | 54 | 129 |
| 1 | 192 | 92 |
| 2 | 1217 | 92 |
| 0 | 8422 | 92 |
| 0 | 167 | 960 |
| 1 | 517 | 928 |
| 2 | 1598 | 886 |
| 3 | 5419 | 885 |
| 0 | 8303 | 853 |
| 1× | fuel |
| 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 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 364 to 202 computations (44.5% saved)
(negabs r)
Compiled 492 to 234 computations (52.4% saved)
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