
Time bar (total: 12.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 8 |
| 18.8% | 18.7% | 81.1% | 0.1% | 0% | 0% | 0% | 9 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 10 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 11 |
| 23.4% | 23.4% | 76.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 10 computations (9.1% saved)
| 1.0s | 5 800× | 1 | valid |
| 302.0ms | 2 456× | 0 | valid |
ival-cos: 396.0ms (37.9% of total)ival-sin: 229.0ms (21.9% of total)ival-mult: 121.0ms (11.6% of total)ival-add: 109.0ms (10.4% of total)adjust: 93.0ms (8.9% of total)ival-div: 87.0ms (8.3% of total)ival-true: 6.0ms (0.6% of total)ival-assert: 3.0ms (0.3% 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 |
|---|---|---|---|---|---|
| 69 | 117 | (1.568014602997597e-136 -2.0233044034283166e+250 -1.1577860862778159e-35) | 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 | 1 | (3.1262184785806802e-192 37532140.7716666 -7.00346575447282e-133) | 0 | - | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
cos.f64 | (cos.f64 (+.f64 a b)) | sensitivity | 186 | 0 |
/.f64 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) | u/n | 1 | 0 |
| ↳ | (*.f64 r (sin.f64 b)) | underflow | 32 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 69 | 0 |
| - | 117 | 70 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 69 | 0 | 0 |
| - | 117 | 0 | 70 |
| number | freq |
|---|---|
| 0 | 70 |
| 1 | 185 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 64.0ms | 348× | 1 | valid |
| 16.0ms | 164× | 0 | valid |
Compiled 78 to 36 computations (53.8% saved)
ival-cos: 20.0ms (34.2% of total)ival-sin: 13.0ms (22.2% of total)ival-add: 10.0ms (17.1% of total)adjust: 6.0ms (10.3% of total)ival-mult: 5.0ms (8.5% of total)ival-div: 4.0ms (6.8% 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 |
|---|---|---|
| ▶ | 75.8% | (/.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 | 76.0% | (cos.f64 (+.f64 a b)) |
| 28.0ms | 174× | 1 | valid |
| 6.0ms | 82× | 0 | valid |
Compiled 27 to 10 computations (63% saved)
ival-cos: 9.0ms (38.3% of total)ival-sin: 6.0ms (25.5% of total)adjust: 3.0ms (12.8% of total)ival-add: 2.0ms (8.5% of total)ival-div: 2.0ms (8.5% of total)ival-mult: 2.0ms (8.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))> |
#<alt (*.f64 r (sin.f64 b))> |
#<alt (sin.f64 b)> |
#<alt (cos.f64 (+.f64 a b))> |
| Outputs |
|---|
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* b r)> |
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))> |
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))> |
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt b> |
#<alt (* b (+ 1 (* -1/6 (pow b 2))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | r | @ | 0 | (/ (* r (sin b)) (cos (+ a b))) |
| 1.0ms | b | @ | inf | (/ (* r (sin b)) (cos (+ a b))) |
| 1.0ms | b | @ | 0 | (/ (* r (sin b)) (cos (+ a b))) |
| 1.0ms | r | @ | inf | (/ (* r (sin b)) (cos (+ a b))) |
| 1.0ms | a | @ | inf | (/ (* r (sin b)) (cos (+ a b))) |
| 1× | 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 | 8441 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(cos.f64 (+.f64 a b)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) (neg.f64 r)))) |
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) (neg.f64 r)) #s(literal 1 binary64)) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) #s(literal -1 binary64)) (cos.f64 (+.f64 b a))) |
(pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) (neg.f64 r))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a))))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) |
(neg.f64 (*.f64 (sin.f64 b) (neg.f64 r))) |
(*.f64 r (sin.f64 b)) |
(*.f64 r (neg.f64 (sin.f64 (neg.f64 b)))) |
(*.f64 r (*.f64 (sin.f64 b) #s(literal 1 binary64))) |
(*.f64 (sin.f64 b) r) |
(*.f64 (sin.f64 b) (neg.f64 (neg.f64 r))) |
(*.f64 (sin.f64 b) (*.f64 r #s(literal 1 binary64))) |
(*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) |
(*.f64 (sin.f64 (neg.f64 b)) (neg.f64 r)) |
(*.f64 (neg.f64 r) (sin.f64 (neg.f64 b))) |
(*.f64 (neg.f64 (sin.f64 (neg.f64 b))) r) |
(*.f64 (neg.f64 (neg.f64 r)) (sin.f64 b)) |
(sin.f64 b) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(+.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a))))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))) |
(cos.f64 (+.f64 b a)) |
(cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))) |
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))) |
(cos.f64 (/.f64 (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 a (-.f64 a b) (*.f64 b b)))) |
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (neg.f64 (-.f64 a b))) (-.f64 a b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) |
(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) (/.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 a b)))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (neg.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (neg.f64 (/.f64 (*.f64 b b) (-.f64 a b)))))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (sin.f64 a) (sin.f64 (neg.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a))))) |
(neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) |
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (neg.f64 (cos.f64 (-.f64 a b)))) |
(/.f64 (-.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal -2 binary64)) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64)) |
(pow.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)) |
(*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))) |
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) |
| 1× | egg-herbie |
| 10 934× | lower-fma.f64 |
| 10 934× | lower-fma.f32 |
| 4 746× | lower-*.f64 |
| 4 746× | lower-*.f32 |
| 2 894× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 960 |
| 1 | 517 | 928 |
| 2 | 1595 | 886 |
| 3 | 5409 | 885 |
| 0 | 8292 | 853 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
| Outputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* b r) (cos a)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 b (-.f64 (/.f64 (*.f64 (sin.f64 a) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 r (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 a (fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (neg.f64 a))) (/.f64 (*.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 (-.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (fma.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (*.f64 a (fma.f64 (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))) a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* b r) |
(*.f64 r b) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r)) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 r (*.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 r #s(literal -1/6 binary64))) r)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
Compiled 3 879 to 535 computations (86.2% saved)
30 alts after pruning (30 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 203 | 30 | 233 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 204 | 30 | 234 |
| Status | Accuracy | Program |
|---|---|---|
| 50.4% | (/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))) | |
| 50.2% | (/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) | |
| ▶ | 99.5% | (/.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))))) | |
| 59.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (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)))))))) | |
| 75.5% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 a b))))) | |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| 59.7% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) | |
| 52.2% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) | |
| 75.8% | (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) | |
| ▶ | 50.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
| 62.5% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) | |
| 55.1% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) | |
| 50.5% | (/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) | |
| ▶ | 50.6% | (/.f64 (*.f64 r b) (cos.f64 a)) |
| 50.4% | (/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b))) | |
| 75.8% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 75.4% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) | |
| 75.7% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) | |
| ▶ | 75.7% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
| 75.8% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) | |
| 75.9% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) | |
| 75.8% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) | |
| ▶ | 75.9% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
| 75.5% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) | |
| 75.8% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) | |
| 75.8% | (*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) | |
| 75.8% | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) | |
| 32.6% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
Compiled 1 148 to 710 computations (38.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) r) |
| ✓ | cost-diff | 256 | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
| ✓ | cost-diff | 6464 | (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)) |
| ✓ | cost-diff | 7040 | (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
| ✓ | cost-diff | 128 | (neg.f64 (-.f64 a b)) |
| ✓ | cost-diff | 128 | (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))) |
| ✓ | cost-diff | 1280 | (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))) |
| ✓ | cost-diff | 0 | (+.f64 b a) |
| ✓ | cost-diff | 0 | (cos.f64 (+.f64 b a)) |
| ✓ | cost-diff | 0 | (/.f64 r (cos.f64 (+.f64 b a))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
| ✓ | cost-diff | 0 | (cos.f64 a) |
| ✓ | cost-diff | 0 | (*.f64 r b) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r b) (cos.f64 a)) |
| ✓ | cost-diff | 0 | (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (*.f64 r (sin.f64 b)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 5 658× | lower-fma.f32 |
| 5 656× | lower-fma.f64 |
| 2 098× | lower-*.f32 |
| 2 086× | lower-*.f64 |
| 1 178× | lower-+.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 220 |
| 0 | 59 | 195 |
| 1 | 89 | 193 |
| 2 | 177 | 184 |
| 3 | 411 | 181 |
| 4 | 1161 | 181 |
| 5 | 3591 | 181 |
| 6 | 6455 | 181 |
| 0 | 8200 | 181 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(sin.f64 (neg.f64 b)) |
(neg.f64 b) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 a) |
(cos.f64 b) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 r b) |
r |
b |
(cos.f64 a) |
a |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(/.f64 r (cos.f64 (+.f64 b a))) |
r |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
b |
a |
(sin.f64 b) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))) |
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))) |
(*.f64 (+.f64 b a) (-.f64 a b)) |
(+.f64 b a) |
a |
(-.f64 a b) |
(neg.f64 (-.f64 a b)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) r) |
#s(literal -1 binary64) |
r |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
b |
a |
(sin.f64 (neg.f64 b)) |
(neg.f64 b) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(sin.f64 (neg.f64 b)) |
(neg.f64 b) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 a) |
(cos.f64 b) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(*.f64 r b) |
r |
b |
(cos.f64 a) |
a |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
r |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
b |
a |
(sin.f64 b) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))) |
(cos.f64 (+.f64 b a)) |
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))) |
(-.f64 (neg.f64 b) a) |
(*.f64 (+.f64 b a) (-.f64 a b)) |
(+.f64 b a) |
a |
(-.f64 a b) |
(neg.f64 (-.f64 a b)) |
(-.f64 b a) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) |
(neg.f64 r) |
(/.f64 #s(literal -1 binary64) r) |
#s(literal -1 binary64) |
r |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)) |
(neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) |
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
b |
a |
(sin.f64 (neg.f64 b)) |
(neg.f64 b) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
| ✓ | accuracy | 99.6% | (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)) |
| ✓ | accuracy | 99.6% | (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) |
| ✓ | accuracy | 76.0% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 99.8% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
| ✓ | accuracy | 76.0% | (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))) |
| ✓ | accuracy | 53.7% | (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))) |
| ✓ | accuracy | 100.0% | (sin.f64 b) |
| ✓ | accuracy | 99.7% | (/.f64 r (cos.f64 (+.f64 b a))) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
| ✓ | accuracy | 76.0% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 100.0% | (*.f64 r b) |
| ✓ | accuracy | 100.0% | (cos.f64 a) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 r b) (cos.f64 a)) |
| ✓ | accuracy | 99.9% | (*.f64 (cos.f64 a) (cos.f64 b)) |
| ✓ | accuracy | 99.8% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 99.8% | (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 184.0ms | 180× | 1 | valid |
| 22.0ms | 76× | 0 | valid |
Compiled 222 to 34 computations (84.7% saved)
ival-cos: 37.0ms (27.8% of total)ival-sin: 22.0ms (16.5% of total)ival-div: 19.0ms (14.3% of total)ival-pow: 17.0ms (12.8% of total)ival-mult: 15.0ms (11.3% of total)adjust: 12.0ms (9% of total)ival-add: 4.0ms (3% of total)ival-neg: 3.0ms (2.3% of total)ival-sub: 2.0ms (1.5% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 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 a) (cos.f64 b))))> |
#<alt (*.f64 r (sin.f64 b))> |
#<alt (sin.f64 b)> |
#<alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))> |
#<alt (/.f64 (*.f64 r b) (cos.f64 a))> |
#<alt (*.f64 r b)> |
#<alt (cos.f64 a)> |
#<alt (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))> |
#<alt (/.f64 r (cos.f64 (+.f64 b a)))> |
#<alt (cos.f64 (+.f64 b a))> |
#<alt (+.f64 b a)> |
#<alt (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))> |
#<alt (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))> |
#<alt (neg.f64 (-.f64 a b))> |
#<alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))> |
#<alt (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64))> |
#<alt (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))> |
#<alt (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)))> |
#<alt (/.f64 #s(literal -1 binary64) r)> |
#<alt (*.f64 (cos.f64 a) (cos.f64 b))> |
#<alt (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.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 (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* b r)> |
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))> |
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))> |
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt b> |
#<alt (* b (+ 1 (* -1/6 (pow b 2))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (cos 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))))> |
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#<alt (/ (* r (sin b)) (cos (* -1 b)))> |
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (* -1 b))))) (pow (cos (* -1 b)) 2))) (/ (* r (sin b)) (cos (* -1 b))))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b))))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))> |
#<alt (* -1 r)> |
#<alt (* -1 r)> |
#<alt (* -1 r)> |
#<alt (* -1 r)> |
#<alt (* -1 r)> |
#<alt (* -1 r)> |
#<alt (* -1 r)> |
#<alt (* -1 r)> |
#<alt (* -1 r)> |
#<alt (* -1 r)> |
#<alt (* -1 r)> |
#<alt (* -1 r)> |
#<alt (* -1 (/ b (cos a)))> |
#<alt (* b (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))> |
#<alt (* b (- (* b (- (* b (- (* 1/6 (/ 1 (cos a))) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a))))> |
#<alt (* b (- (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/6 (/ 1 (cos a))) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/6 (/ (sin a) (pow (cos a) 2))) (* 1/2 (/ (sin a) (pow (cos a) 2))))))) (* 1/6 (/ 1 (cos a)))) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a))))> |
#<alt (/ (sin (neg b)) (cos (+ a b)))> |
#<alt (/ (sin (neg b)) (cos (+ a b)))> |
#<alt (/ (sin (neg b)) (cos (+ a b)))> |
#<alt (/ (sin (neg b)) (cos (+ a b)))> |
#<alt (/ (sin (* -1 b)) (cos (- a (* -1 b))))> |
#<alt (/ (sin (* -1 b)) (cos (- a (* -1 b))))> |
#<alt (/ (sin (* -1 b)) (cos (- a (* -1 b))))> |
#<alt (/ (sin (* -1 b)) (cos (- a (* -1 b))))> |
#<alt (/ (sin (neg b)) (cos b))> |
#<alt (+ (/ (sin (neg b)) (cos b)) (/ (* a (* (sin b) (sin (neg b)))) (pow (cos b) 2)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg b))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg b)) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))))) (/ (sin (neg b)) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))) (+ (* 1/6 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg b))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg b))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg b)) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))))) (/ (sin (neg b)) (cos b)))> |
#<alt (/ (sin (neg b)) (cos (+ a b)))> |
#<alt (/ (sin (neg b)) (cos (+ a b)))> |
#<alt (/ (sin (neg b)) (cos (+ a b)))> |
#<alt (/ (sin (neg b)) (cos (+ a b)))> |
#<alt (/ (sin (neg b)) (cos (- b (* -1 a))))> |
#<alt (/ (sin (neg b)) (cos (- b (* -1 a))))> |
#<alt (/ (sin (neg b)) (cos (- b (* -1 a))))> |
#<alt (/ (sin (neg b)) (cos (- b (* -1 a))))> |
#<alt (* -1 (/ (* r (sin (neg b))) (cos (+ a b))))> |
#<alt (* -1 (/ (* r (sin (neg b))) (cos (+ a b))))> |
#<alt (* -1 (/ (* r (sin (neg b))) (cos (+ a b))))> |
#<alt (* -1 (/ (* r (sin (neg b))) (cos (+ a b))))> |
#<alt (* -1 (/ (* r (sin (neg b))) (cos (+ a b))))> |
#<alt (* -1 (/ (* r (sin (neg b))) (cos (+ a b))))> |
#<alt (* -1 (/ (* r (sin (neg b))) (cos (+ a b))))> |
#<alt (* -1 (/ (* r (sin (neg b))) (cos (+ a b))))> |
#<alt (* -1 (/ (* r (sin (neg b))) (cos (+ a b))))> |
#<alt (* -1 (/ (* r (sin (neg b))) (cos (+ a b))))> |
#<alt (* -1 (/ (* r (sin (neg b))) (cos (+ a b))))> |
#<alt (* -1 (/ (* r (sin (neg 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 (+ (* -1 (* b (- (* 1/6 (/ r (cos a))) (+ (* 1/2 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a))))> |
#<alt (* b (+ (* b (+ (* b (+ (* -1 (- (* 1/6 (/ r (cos a))) (+ (* 1/2 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (* b (+ (* -1 (/ (* (sin a) (- (* 1/6 (/ r (cos a))) (+ (* 1/2 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (cos a))) (+ (* -1/6 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/2 (/ (* r (sin a)) (pow (cos a) 2)))))))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a))))> |
#<alt (* -1 (/ (* r (sin (neg b))) (cos (+ a b))))> |
#<alt (* -1 (/ (* r (sin (neg b))) (cos (+ a b))))> |
#<alt (* -1 (/ (* r (sin (neg b))) (cos (+ a b))))> |
#<alt (* -1 (/ (* r (sin (neg b))) (cos (+ a b))))> |
#<alt (* -1 (/ (* r (sin (* -1 b))) (cos (- a (* -1 b)))))> |
#<alt (* -1 (/ (* r (sin (* -1 b))) (cos (- a (* -1 b)))))> |
#<alt (* -1 (/ (* r (sin (* -1 b))) (cos (- a (* -1 b)))))> |
#<alt (* -1 (/ (* r (sin (* -1 b))) (cos (- a (* -1 b)))))> |
#<alt (* -1 (/ (* r (sin (neg b))) (cos b)))> |
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (* -1 (/ (* r (sin (neg b))) (cos b))))> |
#<alt (+ (* -1 (/ (* r (sin (neg b))) (cos b))) (* a (+ (* -1 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg b))) (cos b))))))))> |
#<alt (+ (* -1 (/ (* r (sin (neg b))) (cos b))) (* a (+ (* -1 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg b)))) (pow (cos b) 3))) (+ (* -1/2 (/ (* r (sin (neg b))) (cos b))) (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg b))) (cos b))))) (cos b)))))))))))> |
#<alt (* -1 (/ (* r (sin (neg b))) (cos (+ a b))))> |
#<alt (* -1 (/ (* r (sin (neg b))) (cos (+ a b))))> |
#<alt (* -1 (/ (* r (sin (neg b))) (cos (+ a b))))> |
#<alt (* -1 (/ (* r (sin (neg b))) (cos (+ a b))))> |
#<alt (* -1 (/ (* r (sin (neg b))) (cos (- b (* -1 a)))))> |
#<alt (* -1 (/ (* r (sin (neg b))) (cos (- b (* -1 a)))))> |
#<alt (* -1 (/ (* r (sin (neg b))) (cos (- b (* -1 a)))))> |
#<alt (* -1 (/ (* r (sin (neg b))) (cos (- b (* -1 a)))))> |
#<alt (/ -1 r)> |
#<alt (/ -1 r)> |
#<alt (/ -1 r)> |
#<alt (/ -1 r)> |
#<alt (/ -1 r)> |
#<alt (/ -1 r)> |
#<alt (/ -1 r)> |
#<alt (/ -1 r)> |
#<alt (/ -1 r)> |
#<alt (/ -1 r)> |
#<alt (/ -1 r)> |
#<alt (/ -1 r)> |
#<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 (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 (* -1 (/ (cos a) b))> |
#<alt (/ (+ (* -1 (cos a)) (* b (sin a))) b)> |
#<alt (/ (+ (* -1 (cos a)) (* b (+ (sin a) (* b (- (* 1/2 (cos a)) (* 1/6 (cos a))))))) b)> |
#<alt (/ (+ (* -1 (cos a)) (* b (+ (sin a) (* b (- (+ (* 1/2 (cos a)) (* (pow b 2) (- (* -1/24 (cos a)) (+ (* -1/6 (- (* 1/2 (cos a)) (* 1/6 (cos a)))) (* -1/120 (cos a)))))) (* 1/6 (cos a))))))) b)> |
#<alt (/ (cos (+ a b)) (sin (neg b)))> |
#<alt (/ (cos (+ a b)) (sin (neg b)))> |
#<alt (/ (cos (+ a b)) (sin (neg b)))> |
#<alt (/ (cos (+ a b)) (sin (neg b)))> |
#<alt (/ (cos (- a (* -1 b))) (sin (* -1 b)))> |
#<alt (/ (cos (- a (* -1 b))) (sin (* -1 b)))> |
#<alt (/ (cos (- a (* -1 b))) (sin (* -1 b)))> |
#<alt (/ (cos (- a (* -1 b))) (sin (* -1 b)))> |
#<alt (/ (cos b) (sin (neg b)))> |
#<alt (+ (* -1 (/ (* a (sin b)) (sin (neg b)))) (/ (cos b) (sin (neg b))))> |
#<alt (+ (* a (+ (* -1 (/ (sin b) (sin (neg b)))) (* -1/2 (/ (* a (cos b)) (sin (neg b)))))) (/ (cos b) (sin (neg b))))> |
#<alt (+ (* a (+ (* -1 (/ (sin b) (sin (neg b)))) (* a (+ (* -1/2 (/ (cos b) (sin (neg b)))) (* 1/6 (/ (* a (sin b)) (sin (neg b)))))))) (/ (cos b) (sin (neg b))))> |
#<alt (/ (cos (+ a b)) (sin (neg b)))> |
#<alt (/ (cos (+ a b)) (sin (neg b)))> |
#<alt (/ (cos (+ a b)) (sin (neg b)))> |
#<alt (/ (cos (+ a b)) (sin (neg b)))> |
#<alt (/ (cos (- b (* -1 a))) (sin (neg b)))> |
#<alt (/ (cos (- b (* -1 a))) (sin (neg b)))> |
#<alt (/ (cos (- b (* -1 a))) (sin (neg b)))> |
#<alt (/ (cos (- b (* -1 a))) (sin (neg b)))> |
132 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | r | @ | 0 | (/ (* r b) (cos a)) |
| 7.0ms | r | @ | 0 | (pow (/ -1 r) -1) |
| 4.0ms | r | @ | 0 | (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) |
| 3.0ms | r | @ | 0 | (/ (* r (sin b)) (cos (/ (* (+ b a) (- a b)) (neg (- a b))))) |
| 2.0ms | b | @ | 0 | (/ (* r (sin b)) (cos (/ (* (+ b a) (- a b)) (neg (- a b))))) |
| 1× | batch-egg-rewrite |
| 4 876× | lower-/.f32 |
| 4 864× | lower-/.f64 |
| 3 924× | lower-*.f32 |
| 3 918× | lower-fma.f32 |
| 3 916× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 160 |
| 0 | 59 | 170 |
| 1 | 197 | 108 |
| 2 | 1356 | 108 |
| 0 | 8491 | 108 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 r b) |
(cos.f64 a) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))) |
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))) |
(neg.f64 (-.f64 a b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) r) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.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 (+.f64 (log.f64 (neg.f64 r)) (log.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) |
(exp.f64 (+.f64 (log.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (log.f64 (neg.f64 r)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (/.f64 (sin.f64 (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (/.f64 r (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))) |
(neg.f64 (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) (*.f64 (neg.f64 r) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) r) (*.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (*.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (neg.f64 (/.f64 #s(literal -1 binary64) r))) |
(/.f64 (neg.f64 (neg.f64 r)) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 (*.f64 (neg.f64 r) #s(literal 1 binary64)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b))))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 r) #s(literal 1 binary64))) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) r))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) (pow.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (pow.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r))) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
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(exp.f64 (log.f64 (neg.f64 r))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
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(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 r))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
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(exp.f64 (+.f64 (log.f64 (neg.f64 r)) (log.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) |
(exp.f64 (+.f64 (log.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (log.f64 (neg.f64 r)))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (/.f64 r (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))) |
(neg.f64 (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
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(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
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(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64)) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 (neg.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 (neg.f64 b))) (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 (neg.f64 b))) (fma.f64 (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (sin.f64 b)) (*.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 (neg.f64 b))) (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (sin.f64 b)))))) |
(pow.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 b a)))) (exp.f64 (neg.f64 (log.f64 (sin.f64 (neg.f64 b)))))) |
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))) (sin.f64 b))) |
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))) |
| 1× | egg-herbie |
| 9 310× | lower-fma.f64 |
| 9 310× | lower-fma.f32 |
| 6 774× | lower-*.f64 |
| 6 774× | lower-*.f32 |
| 3 226× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 741 | 6620 |
| 1 | 2393 | 6109 |
| 0 | 8351 | 5881 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (cos b)) |
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(cos b) |
(+ (cos b) (* a (sin (neg b)))) |
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b))))))))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(* b r) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
1 |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos b)) |
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
a |
(+ a b) |
(+ a b) |
(+ a b) |
b |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
b |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
b |
(+ a b) |
(+ a b) |
(+ a b) |
a |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
a |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 a) |
(+ (* -1 a) (* b (- (* -1 (/ (+ a (* -1 a)) a)) 1))) |
(+ (* -1 a) (* b (- (+ (* -1 (/ (+ a (* -1 a)) a)) (* b (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a))))) 1))) |
(+ (* -1 a) (* b (- (+ (* -1 (/ (+ a (* -1 a)) a)) (* b (- (+ (/ 1 a) (/ (* b (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))) a)) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a))))) 1))) |
(* -1 b) |
(* b (- (* -1 (/ a b)) 1)) |
(* b (- (* -1 (/ a b)) 1)) |
(* b (- (* -1 (/ a b)) 1)) |
(* -1 b) |
(* -1 (* b (+ 1 (/ a b)))) |
(* -1 (* b (+ 1 (/ a b)))) |
(* -1 (* b (+ 1 (/ a b)))) |
(* -1 b) |
(+ (* -1 a) (* -1 b)) |
(+ (* -1 a) (* -1 b)) |
(+ (* -1 a) (* -1 b)) |
(* -1 a) |
(* a (- (* -1 (/ (+ b (* -1 b)) a)) (+ 1 (/ b a)))) |
(* a (- (+ (* -1 (/ (+ b (* -1 b)) a)) (/ (pow b 2) (pow a 2))) (+ 1 (+ (* -1 (/ (* b (- (* -1 (+ b (* -1 b))) b)) (pow a 2))) (/ b a))))) |
(* a (- (+ (* -1 (/ (+ b (* -1 b)) a)) (+ (/ (* b (- (pow b 2) (* -1 (* b (- (* -1 (+ b (* -1 b))) b))))) (pow a 3)) (/ (pow b 2) (pow a 2)))) (+ 1 (+ (* -1 (/ (* b (- (* -1 (+ b (* -1 b))) b)) (pow a 2))) (/ b a))))) |
(* -1 a) |
(* -1 (* a (+ 1 (/ b a)))) |
(* -1 (* a (+ 1 (/ b a)))) |
(* -1 (* a (+ 1 (/ b a)))) |
(cos (* -1 a)) |
(+ (cos (* -1 a)) (* -1 (* b (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))))) |
(+ (cos (* -1 a)) (* b (- (* b (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))))) |
(+ (cos (* -1 a)) (* b (- (* b (- (+ (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* b (- (* -1 (* (cos (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (* (sin (* -1 a)) (- (+ (* -1/6 (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 3)) (/ 1 (pow a 2))) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) (pow a 2)))))))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos (* -1 (- a (* -1 b)))) |
(cos (* -1 (- a (* -1 b)))) |
(cos (* -1 (- a (* -1 b)))) |
(cos (* -1 (- a (* -1 b)))) |
(cos (* -1 b)) |
(+ (cos (* -1 b)) (* a (sin (* -1 b)))) |
(+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b)))))) |
(+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -1 b)))))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos (/ (* (+ a b) (- a b)) (- b a))) |
(cos (* -1 (- b (* -1 a)))) |
(cos (* -1 (- b (* -1 a)))) |
(cos (* -1 (- b (* -1 a)))) |
(cos (* -1 (- b (* -1 a)))) |
b |
(+ b (* -1 a)) |
(+ b (* -1 a)) |
(+ b (* -1 a)) |
(* -1 a) |
(* a (- (/ b a) 1)) |
(* a (- (/ b a) 1)) |
(* a (- (/ b a) 1)) |
(* -1 a) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(* -1 a) |
(- b a) |
(- b a) |
(- b a) |
b |
(* b (+ 1 (* -1 (/ a b)))) |
(* b (+ 1 (* -1 (/ a b)))) |
(* b (+ 1 (* -1 (/ a b)))) |
b |
(* -1 (* b (- (/ a b) 1))) |
(* -1 (* b (- (/ a b) 1))) |
(* -1 (* b (- (/ a b) 1))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* b r) (cos (* -1 a))) |
(* b (+ (/ r (cos (* -1 a))) (/ (* b (* r (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1)))) (pow (cos (* -1 a)) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (pow (cos (* -1 a)) 3))) (/ (* r (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (pow (cos (* -1 a)) 2))))) (* -1 (/ (* r (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))) (pow (cos (* -1 a)) 2))))) (/ r (cos (* -1 a))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (pow (cos (* -1 a)) 3))) (/ (* r (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (pow (cos (* -1 a)) 2)))))) (cos (* -1 a)))) (+ (/ (* r (* (sin (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))))) (pow (cos (* -1 a)) 3)) (/ (* r (- (* -1 (* (cos (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (* (sin (* -1 a)) (- (+ (* -1/6 (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 3)) (/ 1 (pow a 2))) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) (pow a 2))))))) (pow (cos (* -1 a)) 2)))))) (* -1/6 (/ r (cos (* -1 a))))) (+ (* -1 (/ (* r (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (pow (cos (* -1 a)) 3))) (/ (* r (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))))) (pow (cos (* -1 a)) 2))))) (* -1 (/ (* r (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))) (pow (cos (* -1 a)) 2))))) (/ r (cos (* -1 a))))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b))))) |
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b))))) |
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b))))) |
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b))))) |
(/ (* r (sin b)) (cos (* -1 b))) |
(+ (* -1 (/ (* a (* r (* (sin b) (sin (* -1 b))))) (pow (cos (* -1 b)) 2))) (/ (* r (sin b)) (cos (* -1 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a)))) |
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a))))) |
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a))))) |
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a))))) |
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a))))) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 (/ b (cos a))) |
(* b (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))) |
(* b (- (* b (- (* b (- (* 1/6 (/ 1 (cos a))) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a)))) |
(* b (- (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/6 (/ 1 (cos a))) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/6 (/ (sin a) (pow (cos a) 2))) (* 1/2 (/ (sin a) (pow (cos a) 2))))))) (* 1/6 (/ 1 (cos a)))) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a)))) |
(/ (sin (neg b)) (cos (+ a b))) |
(/ (sin (neg b)) (cos (+ a b))) |
(/ (sin (neg b)) (cos (+ a b))) |
(/ (sin (neg b)) (cos (+ a b))) |
(/ (sin (* -1 b)) (cos (- a (* -1 b)))) |
(/ (sin (* -1 b)) (cos (- a (* -1 b)))) |
(/ (sin (* -1 b)) (cos (- a (* -1 b)))) |
(/ (sin (* -1 b)) (cos (- a (* -1 b)))) |
(/ (sin (neg b)) (cos b)) |
(+ (/ (sin (neg b)) (cos b)) (/ (* a (* (sin b) (sin (neg b)))) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg b))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg b)) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))))) (/ (sin (neg b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))) (+ (* 1/6 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg b))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg b))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg b)) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))))) (/ (sin (neg b)) (cos b))) |
(/ (sin (neg b)) (cos (+ a b))) |
(/ (sin (neg b)) (cos (+ a b))) |
(/ (sin (neg b)) (cos (+ a b))) |
(/ (sin (neg b)) (cos (+ a b))) |
(/ (sin (neg b)) (cos (- b (* -1 a)))) |
(/ (sin (neg b)) (cos (- b (* -1 a)))) |
(/ (sin (neg b)) (cos (- b (* -1 a)))) |
(/ (sin (neg b)) (cos (- b (* -1 a)))) |
(* -1 (/ (* r (sin (neg b))) (cos (+ a b)))) |
(* -1 (/ (* r (sin (neg b))) (cos (+ a b)))) |
(* -1 (/ (* r (sin (neg b))) (cos (+ a b)))) |
(* -1 (/ (* r (sin (neg b))) (cos (+ a b)))) |
(* -1 (/ (* r (sin (neg b))) (cos (+ a b)))) |
(* -1 (/ (* r (sin (neg b))) (cos (+ a b)))) |
(* -1 (/ (* r (sin (neg b))) (cos (+ a b)))) |
(* -1 (/ (* r (sin (neg b))) (cos (+ a b)))) |
(* -1 (/ (* r (sin (neg b))) (cos (+ a b)))) |
(* -1 (/ (* r (sin (neg b))) (cos (+ a b)))) |
(* -1 (/ (* r (sin (neg b))) (cos (+ a b)))) |
(* -1 (/ (* r (sin (neg b))) (cos (+ a b)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (+ (* -1 (* b (- (* 1/6 (/ r (cos a))) (+ (* 1/2 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a)))) |
(* b (+ (* b (+ (* b (+ (* -1 (- (* 1/6 (/ r (cos a))) (+ (* 1/2 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (* b (+ (* -1 (/ (* (sin a) (- (* 1/6 (/ r (cos a))) (+ (* 1/2 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (cos a))) (+ (* -1/6 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/2 (/ (* r (sin a)) (pow (cos a) 2)))))))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a)))) |
(* -1 (/ (* r (sin (neg b))) (cos (+ a b)))) |
(* -1 (/ (* r (sin (neg b))) (cos (+ a b)))) |
(* -1 (/ (* r (sin (neg b))) (cos (+ a b)))) |
(* -1 (/ (* r (sin (neg b))) (cos (+ a b)))) |
(* -1 (/ (* r (sin (* -1 b))) (cos (- a (* -1 b))))) |
(* -1 (/ (* r (sin (* -1 b))) (cos (- a (* -1 b))))) |
(* -1 (/ (* r (sin (* -1 b))) (cos (- a (* -1 b))))) |
(* -1 (/ (* r (sin (* -1 b))) (cos (- a (* -1 b))))) |
(* -1 (/ (* r (sin (neg b))) (cos b))) |
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (* -1 (/ (* r (sin (neg b))) (cos b)))) |
(+ (* -1 (/ (* r (sin (neg b))) (cos b))) (* a (+ (* -1 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg b))) (cos b)))))))) |
(+ (* -1 (/ (* r (sin (neg b))) (cos b))) (* a (+ (* -1 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg b)))) (pow (cos b) 3))) (+ (* -1/2 (/ (* r (sin (neg b))) (cos b))) (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg b))) (cos b))))) (cos b))))))))))) |
(* -1 (/ (* r (sin (neg b))) (cos (+ a b)))) |
(* -1 (/ (* r (sin (neg b))) (cos (+ a b)))) |
(* -1 (/ (* r (sin (neg b))) (cos (+ a b)))) |
(* -1 (/ (* r (sin (neg b))) (cos (+ a b)))) |
(* -1 (/ (* r (sin (neg b))) (cos (- b (* -1 a))))) |
(* -1 (/ (* r (sin (neg b))) (cos (- b (* -1 a))))) |
(* -1 (/ (* r (sin (neg b))) (cos (- b (* -1 a))))) |
(* -1 (/ (* r (sin (neg b))) (cos (- b (* -1 a))))) |
(/ -1 r) |
(/ -1 r) |
(/ -1 r) |
(/ -1 r) |
(/ -1 r) |
(/ -1 r) |
(/ -1 r) |
(/ -1 r) |
(/ -1 r) |
(/ -1 r) |
(/ -1 r) |
(/ -1 r) |
(cos b) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(cos a) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* -1 (/ (cos a) b)) |
(/ (+ (* -1 (cos a)) (* b (sin a))) b) |
(/ (+ (* -1 (cos a)) (* b (+ (sin a) (* b (- (* 1/2 (cos a)) (* 1/6 (cos a))))))) b) |
(/ (+ (* -1 (cos a)) (* b (+ (sin a) (* b (- (+ (* 1/2 (cos a)) (* (pow b 2) (- (* -1/24 (cos a)) (+ (* -1/6 (- (* 1/2 (cos a)) (* 1/6 (cos a)))) (* -1/120 (cos a)))))) (* 1/6 (cos a))))))) b) |
(/ (cos (+ a b)) (sin (neg b))) |
(/ (cos (+ a b)) (sin (neg b))) |
(/ (cos (+ a b)) (sin (neg b))) |
(/ (cos (+ a b)) (sin (neg b))) |
(/ (cos (- a (* -1 b))) (sin (* -1 b))) |
(/ (cos (- a (* -1 b))) (sin (* -1 b))) |
(/ (cos (- a (* -1 b))) (sin (* -1 b))) |
(/ (cos (- a (* -1 b))) (sin (* -1 b))) |
(/ (cos b) (sin (neg b))) |
(+ (* -1 (/ (* a (sin b)) (sin (neg b)))) (/ (cos b) (sin (neg b)))) |
(+ (* a (+ (* -1 (/ (sin b) (sin (neg b)))) (* -1/2 (/ (* a (cos b)) (sin (neg b)))))) (/ (cos b) (sin (neg b)))) |
(+ (* a (+ (* -1 (/ (sin b) (sin (neg b)))) (* a (+ (* -1/2 (/ (cos b) (sin (neg b)))) (* 1/6 (/ (* a (sin b)) (sin (neg b)))))))) (/ (cos b) (sin (neg b)))) |
(/ (cos (+ a b)) (sin (neg b))) |
(/ (cos (+ a b)) (sin (neg b))) |
(/ (cos (+ a b)) (sin (neg b))) |
(/ (cos (+ a b)) (sin (neg b))) |
(/ (cos (- b (* -1 a))) (sin (neg b))) |
(/ (cos (- b (* -1 a))) (sin (neg b))) |
(/ (cos (- b (* -1 a))) (sin (neg b))) |
(/ (cos (- b (* -1 a))) (sin (neg 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 b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
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(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(* b r) |
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(* b r) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow a 2))) |
(fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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)) |
(cos a) |
(cos.f64 a) |
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(cos a) |
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(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
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(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
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(/ (* r (sin b)) (cos (+ a b))) |
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(/ (* b r) (cos a)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
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(* 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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(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
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(/ (* 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))) |
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(/ r (cos (+ a b))) |
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(/.f64 r (cos.f64 (+.f64 b a))) |
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(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos (+ a b))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(fma.f64 b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
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(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))) |
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(/ r (cos (- b (* -1 a)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
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(cos (+ a b)) |
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(cos (+ a b)) |
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(cos (+ a b)) |
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(cos (+ a b)) |
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(cos (- a (* -1 b))) |
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(cos (- a (* -1 b))) |
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(cos (- a (* -1 b))) |
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(cos (- a (* -1 b))) |
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(cos b) |
(cos.f64 b) |
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(cos (+ a b)) |
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(cos (+ a b)) |
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(cos (+ a b)) |
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(cos (+ a b)) |
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(cos (- b (* -1 a))) |
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(cos (- b (* -1 a))) |
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(cos (- b (* -1 a))) |
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a |
(+ a b) |
(+.f64 b a) |
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(+.f64 b a) |
b |
(* b (+ 1 (/ a b))) |
(fma.f64 b (/.f64 a b) b) |
(* b (+ 1 (/ a b))) |
(fma.f64 b (/.f64 a b) b) |
(* b (+ 1 (/ a b))) |
(fma.f64 b (/.f64 a b) b) |
b |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(fma.f64 (neg.f64 b) (/.f64 a (neg.f64 b)) b) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(fma.f64 (neg.f64 b) (/.f64 a (neg.f64 b)) b) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(fma.f64 (neg.f64 b) (/.f64 a (neg.f64 b)) b) |
b |
(+ a b) |
(+.f64 b a) |
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a |
(* a (+ 1 (/ b a))) |
(fma.f64 a (/.f64 b a) a) |
(* a (+ 1 (/ b a))) |
(fma.f64 a (/.f64 b a) a) |
(* a (+ 1 (/ b a))) |
(fma.f64 a (/.f64 b a) a) |
a |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(fma.f64 (neg.f64 a) (/.f64 (neg.f64 b) a) a) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
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(* -1 (* a (- (* -1 (/ b a)) 1))) |
(fma.f64 (neg.f64 a) (/.f64 (neg.f64 b) a) a) |
(* -1 a) |
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(* -1 (/ (* r (sin (neg b))) (cos (+ a b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(* -1 (/ (* r (sin (neg b))) (cos (- b (* -1 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(* -1 (/ (* r (sin (neg b))) (cos (- b (* -1 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(* -1 (/ (* r (sin (neg b))) (cos (- b (* -1 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(* -1 (/ (* r (sin (neg b))) (cos (- b (* -1 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ -1 r) |
(/.f64 #s(literal -1 binary64) r) |
(/ -1 r) |
(/.f64 #s(literal -1 binary64) r) |
(/ -1 r) |
(/.f64 #s(literal -1 binary64) r) |
(/ -1 r) |
(/.f64 #s(literal -1 binary64) r) |
(/ -1 r) |
(/.f64 #s(literal -1 binary64) r) |
(/ -1 r) |
(/.f64 #s(literal -1 binary64) r) |
(/ -1 r) |
(/.f64 #s(literal -1 binary64) r) |
(/ -1 r) |
(/.f64 #s(literal -1 binary64) r) |
(/ -1 r) |
(/.f64 #s(literal -1 binary64) r) |
(/ -1 r) |
(/.f64 #s(literal -1 binary64) r) |
(/ -1 r) |
(/.f64 #s(literal -1 binary64) r) |
(/ -1 r) |
(/.f64 #s(literal -1 binary64) r) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(fma.f64 (*.f64 a a) (*.f64 (cos.f64 b) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (cos.f64 b)) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(fma.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 (cos.f64 b) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(fma.f64 (*.f64 b b) (*.f64 (cos.f64 a) (fma.f64 #s(literal 1/24 binary64) (*.f64 b b) #s(literal -1/2 binary64))) (cos.f64 a)) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64)))))) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* -1 (/ (cos a) b)) |
(neg.f64 (/.f64 (cos.f64 a) b)) |
(/ (+ (* -1 (cos a)) (* b (sin a))) b) |
(/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) |
(/ (+ (* -1 (cos a)) (* b (+ (sin a) (* b (- (* 1/2 (cos a)) (* 1/6 (cos a))))))) b) |
(/.f64 (-.f64 (*.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal 1/3 binary64)) (sin.f64 a))) (cos.f64 a)) b) |
(/ (+ (* -1 (cos a)) (* b (+ (sin a) (* b (- (+ (* 1/2 (cos a)) (* (pow b 2) (- (* -1/24 (cos a)) (+ (* -1/6 (- (* 1/2 (cos a)) (* 1/6 (cos a)))) (* -1/120 (cos a)))))) (* 1/6 (cos a))))))) b) |
(/.f64 (-.f64 (*.f64 b (fma.f64 b (fma.f64 (*.f64 b b) (-.f64 (*.f64 (cos.f64 a) #s(literal -1/24 binary64)) (fma.f64 (cos.f64 a) #s(literal -1/18 binary64) (*.f64 (cos.f64 a) #s(literal -1/120 binary64)))) (*.f64 (cos.f64 a) #s(literal 1/3 binary64))) (sin.f64 a))) (cos.f64 a)) b) |
(/ (cos (+ a b)) (sin (neg b))) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) |
(/ (cos (+ a b)) (sin (neg b))) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) |
(/ (cos (+ a b)) (sin (neg b))) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) |
(/ (cos (+ a b)) (sin (neg b))) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) |
(/ (cos (- a (* -1 b))) (sin (* -1 b))) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) |
(/ (cos (- a (* -1 b))) (sin (* -1 b))) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) |
(/ (cos (- a (* -1 b))) (sin (* -1 b))) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) |
(/ (cos (- a (* -1 b))) (sin (* -1 b))) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) |
(/ (cos b) (sin (neg b))) |
(/.f64 (cos.f64 b) (sin.f64 (neg.f64 b))) |
(+ (* -1 (/ (* a (sin b)) (sin (neg b)))) (/ (cos b) (sin (neg b)))) |
(fma.f64 a (/.f64 (sin.f64 b) (sin.f64 b)) (/.f64 (cos.f64 b) (sin.f64 (neg.f64 b)))) |
(+ (* a (+ (* -1 (/ (sin b) (sin (neg b)))) (* -1/2 (/ (* a (cos b)) (sin (neg b)))))) (/ (cos b) (sin (neg b)))) |
(fma.f64 a (fma.f64 (*.f64 a (cos.f64 b)) (/.f64 #s(literal -1/2 binary64) (sin.f64 (neg.f64 b))) (/.f64 (sin.f64 b) (sin.f64 b))) (/.f64 (cos.f64 b) (sin.f64 (neg.f64 b)))) |
(+ (* a (+ (* -1 (/ (sin b) (sin (neg b)))) (* a (+ (* -1/2 (/ (cos b) (sin (neg b)))) (* 1/6 (/ (* a (sin b)) (sin (neg b)))))))) (/ (cos b) (sin (neg b)))) |
(fma.f64 a (fma.f64 a (fma.f64 (cos.f64 b) (/.f64 #s(literal -1/2 binary64) (sin.f64 (neg.f64 b))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 b) a)) (sin.f64 (neg.f64 b)))) (/.f64 (sin.f64 b) (sin.f64 b))) (/.f64 (cos.f64 b) (sin.f64 (neg.f64 b)))) |
(/ (cos (+ a b)) (sin (neg b))) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) |
(/ (cos (+ a b)) (sin (neg b))) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) |
(/ (cos (+ a b)) (sin (neg b))) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) |
(/ (cos (+ a b)) (sin (neg b))) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) |
(/ (cos (- b (* -1 a))) (sin (neg b))) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) |
(/ (cos (- b (* -1 a))) (sin (neg b))) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) |
(/ (cos (- b (* -1 a))) (sin (neg b))) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) |
(/ (cos (- b (* -1 a))) (sin (neg b))) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) |
Compiled 44 502 to 3 537 computations (92.1% saved)
74 alts after pruning (72 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 875 | 59 | 1 934 |
| Fresh | 12 | 13 | 25 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 890 | 74 | 1 964 |
| Status | Accuracy | Program |
|---|---|---|
| 28.0% | (pow.f64 (*.f64 (pow.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r))) #s(literal -1/2 binary64)) | |
| 50.4% | (/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))) | |
| 50.7% | (/.f64 (*.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (*.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 b))))))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 50.2% | (/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) | |
| 99.4% | (/.f64 (*.f64 r (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 a) (cos.f64 b)))))) | |
| ✓ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 63.3% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))) | |
| 56.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) | |
| 84.5% | (/.f64 (*.f64 r (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 a) (cos.f64 b))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))))) | |
| 98.6% | (/.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) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| 75.5% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (cos.f64 (-.f64 a b)))) | |
| 98.6% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (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 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) | |
| 52.2% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) | |
| 75.8% | (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) | |
| ▶ | 29.5% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b)))))) |
| 34.2% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (-.f64 a b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 a b) (-.f64 a b)) (*.f64 #s(literal 0 binary64) (neg.f64 (-.f64 a b))))))))) | |
| 42.5% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (/.f64 (-.f64 (neg.f64 b) a) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (-.f64 b a))))))) | |
| 30.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 a)))) | |
| 72.0% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))) | |
| 32.2% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) (*.f64 a (*.f64 a a))) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a))) (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))))) | |
| 38.9% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))))) | |
| 24.1% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64))))) | |
| 62.5% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) | |
| 55.1% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) | |
| 35.9% | (/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 35.8% | (/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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))) | |
| 36.1% | (/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 50.5% | (/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) | |
| ✓ | 50.6% | (/.f64 (*.f64 r b) (cos.f64 a)) |
| 36.4% | (/.f64 (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) | |
| 50.4% | (/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b))) | |
| 75.7% | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) | |
| 75.7% | (/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal -1 binary64) r)) | |
| 75.8% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 75.4% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) r) (*.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) #s(literal 1 binary64)))) | |
| 75.4% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) | |
| 50.3% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) | |
| 31.7% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) | |
| 40.5% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 99.3% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) | |
| 98.5% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) | |
| 70.6% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 (neg.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 (neg.f64 b))) (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 (neg.f64 b))) (fma.f64 (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (sin.f64 b)) (*.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 (neg.f64 b))) (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (sin.f64 b)))))) #s(literal -1 binary64))) | |
| 54.0% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) #s(literal -1 binary64))) | |
| 99.3% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 (neg.f64 b))) (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (sin.f64 b))) #s(literal -1 binary64))) | |
| 50.6% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (neg.f64 (/.f64 (cos.f64 a) b)) #s(literal -1 binary64))) | |
| 98.6% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))) | |
| 62.4% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 b) (cos.f64 b)))) | |
| ▶ | 16.3% | (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
| 75.7% | (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 (sin.f64 b) #s(literal -1 binary64))) | |
| 98.6% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| ▶ | 75.9% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
| ▶ | 99.5% | (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
| 75.8% | (*.f64 (/.f64 r (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))) (sin.f64 b)) | |
| 75.7% | (*.f64 (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) | |
| 99.5% | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) | |
| 50.6% | (*.f64 (/.f64 r (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (-.f64 b a)))) (sin.f64 b)) | |
| 50.4% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) | |
| 30.8% | (*.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))) (fma.f64 b (+.f64 b a) (*.f64 a a))))) (sin.f64 b)) | |
| 75.9% | (*.f64 (/.f64 r (cos.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (-.f64 a b))))) (sin.f64 b)) | |
| 62.5% | (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) | |
| 55.2% | (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) | |
| 50.6% | (*.f64 (/.f64 b (cos.f64 a)) r) | |
| 75.7% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b)) | |
| 75.5% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) | |
| 75.7% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) | |
| 75.8% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) | |
| 75.8% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) | |
| 75.8% | (*.f64 (neg.f64 r) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) | |
| 49.5% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) | |
| 75.8% | (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) | |
| ▶ | 36.8% | (*.f64 r b) |
| 50.6% | (*.f64 b (/.f64 r (cos.f64 a))) | |
| 21.8% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r b))) #s(literal -1 binary64))) |
Compiled 3 608 to 2 077 computations (42.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
| ✓ | cost-diff | 704 | (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) |
| ✓ | cost-diff | 6464 | (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b)))))) |
| ✓ | cost-diff | 128 | (neg.f64 (-.f64 a b)) |
| ✓ | cost-diff | 128 | (cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b))))) |
| ✓ | cost-diff | 896 | (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b)))) |
| ✓ | cost-diff | 0 | (cos.f64 (+.f64 b a)) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
| ✓ | cost-diff | 0 | (*.f64 r b) |
| ✓ | cost-diff | 0 | (sin.f64 (neg.f64 b)) |
| ✓ | cost-diff | 0 | (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
| ✓ | cost-diff | 0 | (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
| 7 384× | lower-fma.f32 |
| 7 378× | lower-fma.f64 |
| 3 546× | lower-*.f32 |
| 3 522× | lower-*.f64 |
| 2 064× | lower--.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 331 |
| 0 | 76 | 314 |
| 1 | 122 | 308 |
| 2 | 245 | 283 |
| 3 | 764 | 276 |
| 4 | 2616 | 276 |
| 5 | 5750 | 276 |
| 0 | 8266 | 276 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
(/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
r |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(sin.f64 (neg.f64 b)) |
(neg.f64 b) |
b |
(sin.f64 a) |
a |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 a) |
(cos.f64 b) |
(sin.f64 b) |
(*.f64 r b) |
r |
b |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(sin.f64 b) |
b |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
a |
r |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b)))))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b))))) |
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b)))) |
(*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) |
(fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) |
(*.f64 b b) |
(*.f64 a (*.f64 a a)) |
a |
(*.f64 a a) |
(-.f64 a b) |
(*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b))) |
(fma.f64 a (-.f64 a b) (*.f64 b b)) |
(neg.f64 (-.f64 a b)) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 #s(literal -1 binary64) r) |
#s(literal -1 binary64) |
r |
#s(literal -1/2 binary64) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
b |
a |
(sin.f64 (neg.f64 b)) |
(neg.f64 b) |
| Outputs |
|---|
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
r |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(sin.f64 (neg.f64 b)) |
(neg.f64 b) |
b |
(sin.f64 a) |
a |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 a) |
(cos.f64 b) |
(sin.f64 b) |
(*.f64 r b) |
r |
b |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(sin.f64 b) |
b |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
a |
r |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (fma.f64 b b (*.f64 a (-.f64 a b)))))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b))))) |
(cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (fma.f64 b b (*.f64 a (-.f64 a b))))) |
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b)))) |
(/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 (*.f64 a (-.f64 b a)) (*.f64 b b))) |
(*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) |
(fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) |
(*.f64 b b) |
(*.f64 a (*.f64 a a)) |
a |
(*.f64 a a) |
(-.f64 a b) |
(*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b))) |
(*.f64 (fma.f64 b b (*.f64 a (-.f64 a b))) (-.f64 b a)) |
(fma.f64 a (-.f64 a b) (*.f64 b b)) |
(fma.f64 b b (*.f64 a (-.f64 a b))) |
(neg.f64 (-.f64 a b)) |
(-.f64 b a) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (sin.f64 (neg.f64 b)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) #s(literal -1/2 binary64))) (cos.f64 (+.f64 b a))) |
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 #s(literal 1 binary64) (*.f64 r r)) |
(/.f64 #s(literal -1 binary64) r) |
#s(literal -1 binary64) |
r |
#s(literal -1/2 binary64) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)) |
(/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
b |
a |
(sin.f64 (neg.f64 b)) |
(neg.f64 b) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) |
| ✓ | accuracy | 99.5% | (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) |
| ✓ | accuracy | 76.0% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 61.0% | (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b)))))) |
| ✓ | accuracy | 96.6% | (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) |
| ✓ | accuracy | 76.0% | (cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b))))) |
| ✓ | accuracy | 29.4% | (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b)))) |
| ✓ | accuracy | 100.0% | (sin.f64 b) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
| ✓ | accuracy | 99.6% | (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
| ✓ | accuracy | 76.0% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 100.0% | (*.f64 r b) |
| ✓ | accuracy | 99.9% | (*.f64 (cos.f64 a) (cos.f64 b)) |
| ✓ | accuracy | 99.8% | (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
| ✓ | accuracy | 99.7% | (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
| 231.0ms | 180× | 1 | valid |
| 30.0ms | 76× | 0 | valid |
Compiled 333 to 44 computations (86.8% saved)
ival-pow: 81.0ms (36.4% of total)ival-sin: 35.0ms (15.7% of total)ival-mult: 33.0ms (14.8% of total)ival-cos: 30.0ms (13.5% of total)adjust: 16.0ms (7.2% of total)ival-div: 15.0ms (6.7% of total)ival-add: 7.0ms (3.1% of total)ival-neg: 4.0ms (1.8% of total)ival-sub: 2.0ms (0.9% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))> |
#<alt (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))> |
#<alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))> |
#<alt (sin.f64 (neg.f64 b))> |
#<alt (*.f64 r b)> |
#<alt (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)> |
#<alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))> |
#<alt (sin.f64 b)> |
#<alt (cos.f64 (+.f64 b a))> |
#<alt (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b))))> |
#<alt (cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b)))))> |
#<alt (neg.f64 (-.f64 a b))> |
#<alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b))))))> |
#<alt (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))> |
#<alt (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r))> |
#<alt (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)))> |
#<alt (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64))> |
#<alt (*.f64 (cos.f64 a) (cos.f64 b))> |
#<alt (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))> |
#<alt (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.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 (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ r (cos a))> |
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))> |
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))> |
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))> |
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))> |
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))> |
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))> |
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))> |
#<alt (/ r (cos b))> |
#<alt (+ (* -1 (/ (* a (* r (sin (neg b)))) (pow (cos b) 2))) (/ r (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (/ (* r (sin (neg b))) (pow (cos b) 2)))) (/ r (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (sin (neg b))) (pow (cos b) 2))) (* 1/2 (/ (* r (sin (neg b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (/ (* r (sin (neg b))) (pow (cos b) 2)))) (/ r (cos b)))> |
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ r (+ (* (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 (* -1 b)> |
#<alt (* b (- (* 1/6 (pow b 2)) 1))> |
#<alt (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))> |
#<alt (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))> |
#<alt (sin (neg b))> |
#<alt (sin (neg b))> |
#<alt (sin (neg b))> |
#<alt (sin (neg b))> |
#<alt (sin (* -1 b))> |
#<alt (sin (* -1 b))> |
#<alt (sin (* -1 b))> |
#<alt (sin (* -1 b))> |
#<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 (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ b (cos a))> |
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos b))> |
#<alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt b> |
#<alt (* b (+ 1 (* -1/6 (pow b 2))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (* -1 a)> |
#<alt (+ (* -1 a) (* -1 b))> |
#<alt (+ (* -1 a) (* -1 b))> |
#<alt (+ (* -1 a) (* -1 b))> |
#<alt (* -1 b)> |
#<alt (* b (- (/ a b) (+ 1 (* 2 (/ a b)))))> |
#<alt (* b (- (+ (* -1 (/ (+ (* -2 (* a (- a (* 2 a)))) (* -2 (pow a 2))) (pow b 2))) (/ a b)) (+ 1 (* 2 (/ a b)))))> |
#<alt (* b (- (+ (* -1 (/ (pow a 3) (pow b 3))) (/ a b)) (+ 1 (+ (* -2 (/ (* a (- a (* 2 a))) (pow b 2))) (+ (* -2 (/ (pow a 2) (pow b 2))) (+ (* 2 (/ a b)) (+ (* 2 (/ (* a (+ (* -2 (* a (- a (* 2 a)))) (* -2 (pow a 2)))) (pow b 3))) (+ (* 2 (/ (* (pow a 2) (- a (* 2 a))) (pow b 3))) (/ (pow a 3) (pow b 3))))))))))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (/ a b))))> |
#<alt (* -1 (* b (+ 1 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) b))) b)))))> |
#<alt (* -1 (* b (+ 1 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (+ (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b) (pow a 2))) b))) b)))))> |
#<alt (* -1 b)> |
#<alt (+ (* -1 a) (* -1 b))> |
#<alt (+ (* -1 a) (* -1 b))> |
#<alt (+ (* -1 a) (* -1 b))> |
#<alt (* -1 a)> |
#<alt (* a (- (/ b a) (+ 1 (* 2 (/ b a)))))> |
#<alt (* a (- (+ (* -1 (/ (+ (* -2 (* b (- b (* 2 b)))) (* -2 (pow b 2))) (pow a 2))) (/ b a)) (+ 1 (* 2 (/ b a)))))> |
#<alt (* a (- (+ (* -1 (/ (pow b 3) (pow a 3))) (/ b a)) (+ 1 (+ (* -2 (/ (* b (- b (* 2 b))) (pow a 2))) (+ (* -2 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ b a)) (+ (* 2 (/ (* b (+ (* -2 (* b (- b (* 2 b)))) (* -2 (pow b 2)))) (pow a 3))) (+ (* 2 (/ (* (pow b 2) (- b (* 2 b))) (pow a 3))) (/ (pow b 3) (pow a 3))))))))))> |
#<alt (* -1 a)> |
#<alt (* -1 (* a (+ 1 (/ b a))))> |
#<alt (* -1 (* a (+ 1 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a))) a)))))> |
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#<alt (cos (* -1 a))> |
#<alt (+ (cos (* -1 a)) (* b (sin (* -1 a))))> |
#<alt (+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a))))))> |
#<alt (+ (cos (* -1 a)) (* b (- (* b (+ (* -1/2 (cos (* -1 a))) (* -1/6 (* b (sin (* -1 a)))))) (* -1 (sin (* -1 a))))))> |
#<alt (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))> |
#<alt (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))> |
#<alt (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))> |
#<alt (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))> |
#<alt (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2)))))> |
#<alt (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2)))))> |
#<alt (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2)))))> |
#<alt (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2)))))> |
#<alt (cos (* -1 b))> |
#<alt (+ (cos (* -1 b)) (* a (sin (* -1 b))))> |
#<alt (+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b))))))> |
#<alt (+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -1 b))))))> |
#<alt (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (- b a) (- (+ (pow a 2) (pow b 2)) (* a b)))))> |
#<alt (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (- b a) (- (+ (pow a 2) (pow b 2)) (* a b)))))> |
#<alt (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (- b a) (- (+ (pow a 2) (pow b 2)) (* a b)))))> |
#<alt (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (- b a) (- (+ (pow a 2) (pow b 2)) (* a b)))))> |
#<alt (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))> |
#<alt (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))> |
#<alt (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))> |
#<alt (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))> |
#<alt b> |
#<alt (+ b (* -1 a))> |
#<alt (+ b (* -1 a))> |
#<alt (+ b (* -1 a))> |
#<alt (* -1 a)> |
#<alt (* a (- (/ b a) 1))> |
#<alt (* a (- (/ b a) 1))> |
#<alt (* a (- (/ b a) 1))> |
#<alt (* -1 a)> |
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))> |
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))> |
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))> |
#<alt (* -1 a)> |
#<alt (- b a)> |
#<alt (- b a)> |
#<alt (- b a)> |
#<alt b> |
#<alt (* b (+ 1 (* -1 (/ a b))))> |
#<alt (* b (+ 1 (* -1 (/ a b))))> |
#<alt (* b (+ 1 (* -1 (/ a b))))> |
#<alt b> |
#<alt (* -1 (* b (- (/ a b) 1)))> |
#<alt (* -1 (* b (- (/ a b) 1)))> |
#<alt (* -1 (* b (- (/ a b) 1)))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a)))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a)))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a)))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a)))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a)))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a)))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a)))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a)))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a)))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a)))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a)))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a)))))> |
#<alt (/ (* b r) (cos (* -1 a)))> |
#<alt (* b (+ (* -1 (/ (* b (* r (sin (* -1 a)))) (pow (cos (* -1 a)) 2))) (/ r (cos (* -1 a)))))> |
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a)))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (+ (* 1/2 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (/ (* (sin (* -1 a)) (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (cos (* -1 a))))))) (* -1/6 (/ r (cos (* -1 a))))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a)))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a)))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a)))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a)))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a)))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2))))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2))))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2))))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2))))))> |
#<alt (/ (* r (sin b)) (cos (* -1 b)))> |
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (* -1 b))))) (pow (cos (* -1 b)) 2))) (/ (* r (sin b)) (cos (* -1 b))))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b))))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (- b a) (- (+ (pow a 2) (pow b 2)) (* a b))))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (- b a) (- (+ (pow a 2) (pow b 2)) (* a b))))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (- b a) (- (+ (pow a 2) (pow b 2)) (* a b))))))> |
#<alt (/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (- b a) (- (+ (pow a 2) (pow b 2)) (* a b))))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))> |
#<alt (/ (* r (sin b)) (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))> |
#<alt (* -1 (/ b (cos a)))> |
#<alt (* b (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a))))> |
#<alt (* b (- (* b (- (* b (- (* 1/6 (/ 1 (cos a))) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a))))> |
#<alt (* b (- (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/6 (/ 1 (cos a))) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/6 (/ (sin a) (pow (cos a) 2))) (* 1/2 (/ (sin a) (pow (cos a) 2))))))) (* 1/6 (/ 1 (cos a)))) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a))))> |
#<alt (/ (sin (neg b)) (cos (+ a b)))> |
#<alt (/ (sin (neg b)) (cos (+ a b)))> |
#<alt (/ (sin (neg b)) (cos (+ a b)))> |
#<alt (/ (sin (neg b)) (cos (+ a b)))> |
#<alt (/ (sin (* -1 b)) (cos (- a (* -1 b))))> |
#<alt (/ (sin (* -1 b)) (cos (- a (* -1 b))))> |
#<alt (/ (sin (* -1 b)) (cos (- a (* -1 b))))> |
#<alt (/ (sin (* -1 b)) (cos (- a (* -1 b))))> |
#<alt (/ (sin (neg b)) (cos b))> |
#<alt (+ (/ (sin (neg b)) (cos b)) (/ (* a (* (sin b) (sin (neg b)))) (pow (cos b) 2)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg b))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg b)) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))))) (/ (sin (neg b)) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))) (+ (* 1/6 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg b))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg b))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg b)) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))))) (/ (sin (neg b)) (cos b)))> |
#<alt (/ (sin (neg b)) (cos (+ a b)))> |
#<alt (/ (sin (neg b)) (cos (+ a b)))> |
#<alt (/ (sin (neg b)) (cos (+ a b)))> |
#<alt (/ (sin (neg b)) (cos (+ a b)))> |
#<alt (/ (sin (neg b)) (cos (- b (* -1 a))))> |
#<alt (/ (sin (neg b)) (cos (- b (* -1 a))))> |
#<alt (/ (sin (neg b)) (cos (- b (* -1 a))))> |
#<alt (/ (sin (neg b)) (cos (- b (* -1 a))))> |
#<alt (/ 1 (pow r 2))> |
#<alt (/ 1 (pow r 2))> |
#<alt (/ 1 (pow r 2))> |
#<alt (/ 1 (pow r 2))> |
#<alt (/ 1 (pow r 2))> |
#<alt (/ 1 (pow r 2))> |
#<alt (/ 1 (pow r 2))> |
#<alt (/ 1 (pow r 2))> |
#<alt (/ 1 (pow r 2))> |
#<alt (/ 1 (pow r 2))> |
#<alt (/ 1 (pow r 2))> |
#<alt (/ 1 (pow r 2))> |
#<alt (/ (* r (sin (neg b))) (cos (+ a b)))> |
#<alt (/ (* r (sin (neg b))) (cos (+ a b)))> |
#<alt (/ (* r (sin (neg b))) (cos (+ a b)))> |
#<alt (/ (* r (sin (neg b))) (cos (+ a b)))> |
#<alt (/ (* r (sin (neg b))) (cos (+ a b)))> |
#<alt (/ (* r (sin (neg b))) (cos (+ a b)))> |
#<alt (/ (* r (sin (neg b))) (cos (+ a b)))> |
#<alt (/ (* r (sin (neg b))) (cos (+ a b)))> |
#<alt (* -1 (/ (* r (sin (neg b))) (cos (+ a b))))> |
#<alt (* -1 (/ (* r (sin (neg b))) (cos (+ a b))))> |
#<alt (* -1 (/ (* r (sin (neg b))) (cos (+ a b))))> |
#<alt (* -1 (/ (* r (sin (neg b))) (cos (+ a b))))> |
#<alt (* -1 (/ (* b r) (cos a)))> |
#<alt (* b (+ (* -1 (/ r (cos a))) (* -1 (/ (* b (* r (sin a))) (pow (cos a) 2)))))> |
#<alt (* b (+ (* -1 (/ r (cos a))) (* b (- (* b (- (* 1/6 (/ r (cos a))) (+ (* 1/2 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (/ (* r (sin a)) (pow (cos a) 2))))))> |
#<alt (* b (+ (* -1 (/ r (cos a))) (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/6 (/ r (cos a))) (+ (* 1/2 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (cos a))) (+ (* -1/6 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/2 (/ (* r (sin a)) (pow (cos a) 2))))))) (* 1/6 (/ r (cos a)))) (+ (* 1/2 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (/ (* r (sin a)) (pow (cos a) 2))))))> |
#<alt (/ (* r (sin (neg b))) (cos (+ a b)))> |
#<alt (/ (* r (sin (neg b))) (cos (+ a b)))> |
#<alt (/ (* r (sin (neg b))) (cos (+ a b)))> |
#<alt (/ (* r (sin (neg b))) (cos (+ a b)))> |
#<alt (/ (* r (sin (* -1 b))) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin (* -1 b))) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin (* -1 b))) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin (* -1 b))) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin (neg b))) (cos b))> |
#<alt (+ (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2)) (/ (* r (sin (neg b))) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg b))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))) (/ (* r (sin (neg b))) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg b))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg b))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))) (/ (* r (sin (neg b))) (cos b)))> |
#<alt (/ (* r (sin (neg b))) (cos (+ a b)))> |
#<alt (/ (* r (sin (neg b))) (cos (+ a b)))> |
#<alt (/ (* r (sin (neg b))) (cos (+ a b)))> |
#<alt (/ (* r (sin (neg b))) (cos (+ a b)))> |
#<alt (/ (* r (sin (neg b))) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin (neg b))) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin (neg b))) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin (neg b))) (cos (- b (* -1 a))))> |
#<alt r> |
#<alt r> |
#<alt r> |
#<alt r> |
#<alt r> |
#<alt r> |
#<alt r> |
#<alt r> |
#<alt (* -1 r)> |
#<alt (* -1 r)> |
#<alt (* -1 r)> |
#<alt (* -1 r)> |
#<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 (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 (pow a 3)> |
#<alt (+ (pow a 3) (pow b 3))> |
#<alt (+ (pow a 3) (pow b 3))> |
#<alt (+ (pow a 3) (pow b 3))> |
#<alt (pow b 3)> |
#<alt (* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))> |
#<alt (* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))> |
#<alt (* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))> |
#<alt (pow b 3)> |
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))> |
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))> |
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))> |
#<alt (pow b 3)> |
#<alt (+ (pow a 3) (pow b 3))> |
#<alt (+ (pow a 3) (pow b 3))> |
#<alt (+ (pow a 3) (pow b 3))> |
#<alt (pow a 3)> |
#<alt (* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))> |
#<alt (* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))> |
#<alt (* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))> |
#<alt (pow a 3)> |
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))> |
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))> |
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))> |
#<alt (* -1 (/ (cos a) b))> |
#<alt (/ (+ (* -1 (cos a)) (* b (sin a))) b)> |
#<alt (/ (+ (* -1 (cos a)) (* b (+ (sin a) (* b (- (* 1/2 (cos a)) (* 1/6 (cos a))))))) b)> |
#<alt (/ (+ (* -1 (cos a)) (* b (+ (sin a) (* b (- (+ (* 1/2 (cos a)) (* (pow b 2) (- (* -1/24 (cos a)) (+ (* -1/6 (- (* 1/2 (cos a)) (* 1/6 (cos a)))) (* -1/120 (cos a)))))) (* 1/6 (cos a))))))) b)> |
#<alt (/ (cos (+ a b)) (sin (neg b)))> |
#<alt (/ (cos (+ a b)) (sin (neg b)))> |
#<alt (/ (cos (+ a b)) (sin (neg b)))> |
#<alt (/ (cos (+ a b)) (sin (neg b)))> |
#<alt (/ (cos (- a (* -1 b))) (sin (* -1 b)))> |
#<alt (/ (cos (- a (* -1 b))) (sin (* -1 b)))> |
#<alt (/ (cos (- a (* -1 b))) (sin (* -1 b)))> |
#<alt (/ (cos (- a (* -1 b))) (sin (* -1 b)))> |
#<alt (/ (cos b) (sin (neg b)))> |
#<alt (+ (* -1 (/ (* a (sin b)) (sin (neg b)))) (/ (cos b) (sin (neg b))))> |
#<alt (+ (* a (+ (* -1 (/ (sin b) (sin (neg b)))) (* -1/2 (/ (* a (cos b)) (sin (neg b)))))) (/ (cos b) (sin (neg b))))> |
#<alt (+ (* a (+ (* -1 (/ (sin b) (sin (neg b)))) (* a (+ (* -1/2 (/ (cos b) (sin (neg b)))) (* 1/6 (/ (* a (sin b)) (sin (neg b)))))))) (/ (cos b) (sin (neg b))))> |
#<alt (/ (cos (+ a b)) (sin (neg b)))> |
#<alt (/ (cos (+ a b)) (sin (neg b)))> |
#<alt (/ (cos (+ a b)) (sin (neg b)))> |
#<alt (/ (cos (+ a b)) (sin (neg b)))> |
#<alt (/ (cos (- b (* -1 a))) (sin (neg b)))> |
#<alt (/ (cos (- b (* -1 a))) (sin (neg b)))> |
#<alt (/ (cos (- b (* -1 a))) (sin (neg b)))> |
#<alt (/ (cos (- b (* -1 a))) (sin (neg b)))> |
123 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | r | @ | 0 | (/ (* r (sin b)) (cos (/ (* (+ (* b (* b b)) (* a (* a a))) (- a b)) (* (+ (* a (- a b)) (* b b)) (neg (- a b)))))) |
| 3.0ms | b | @ | -inf | (/ (sin b) (cos (+ b a))) |
| 2.0ms | b | @ | 0 | (/ (* r (sin b)) (cos (/ (* (+ (* b (* b b)) (* a (* a a))) (- a b)) (* (+ (* a (- a b)) (* b b)) (neg (- a b)))))) |
| 2.0ms | a | @ | -inf | (/ (* (+ (* b (* b b)) (* a (* a a))) (- a b)) (* (+ (* a (- a b)) (* b b)) (neg (- a b)))) |
| 1.0ms | b | @ | 0 | (/ (* (+ (* b (* b b)) (* a (* a a))) (- a b)) (* (+ (* a (- a b)) (* b b)) (neg (- a b)))) |
| 1× | batch-egg-rewrite |
| 4 640× | lower-/.f32 |
| 4 628× | lower-/.f64 |
| 4 444× | lower-*.f32 |
| 4 420× | lower-*.f64 |
| 3 550× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 232 |
| 0 | 76 | 226 |
| 1 | 248 | 141 |
| 2 | 1715 | 135 |
| 0 | 8718 | 135 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
(/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(sin.f64 (neg.f64 b)) |
(*.f64 r b) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(sin.f64 b) |
(cos.f64 (+.f64 b a)) |
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b)))) |
(cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b))))) |
(neg.f64 (-.f64 a b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b)))))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) |
| Outputs |
|---|
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 (log.f64 (*.f64 r r))) (log.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a)))))) |
(exp.f64 (+.f64 (log.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a)))) (*.f64 #s(literal -1/2 binary64) (neg.f64 (log.f64 (*.f64 r r)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (/.f64 (sin.f64 (neg.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 (neg.f64 r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b)))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 r #s(literal -1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (neg.f64 (*.f64 r #s(literal -1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 (*.f64 r #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b)))) |
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) |
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) r)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) (/.f64 #s(literal -1 binary64) r)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 r r))) #s(literal -1/2 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))) (*.f64 r #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 r #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(*.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))) |
(*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1/2 binary64)) (*.f64 r #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 (*.f64 r #s(literal -1 binary64)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (*.f64 r #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b)))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))) (pow.f64 (neg.f64 r) #s(literal 1/2 binary64))) (pow.f64 (neg.f64 r) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 r #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 r (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))))) |
(*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 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) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 (neg.f64 b)) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (cos.f64 (+.f64 b a))) (/.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))))) |
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(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 3 binary64)) (neg.f64 (*.f64 b (*.f64 b b)))) (fma.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) a) (fma.f64 b b (*.f64 (-.f64 #s(literal 0 binary64) a) (neg.f64 b))))) |
(*.f64 (-.f64 a b) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 a b)) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))) |
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(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (*.f64 a (-.f64 a b))) (-.f64 (*.f64 a (-.f64 a b)) (*.f64 b b))))) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 (*.f64 a (-.f64 a b)) (*.f64 b b)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b))) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b))))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b)))))) |
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b)))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b)))) |
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(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b)))))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b)))) |
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(/.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))) (neg.f64 (cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b))))) |
(pow.f64 (/.f64 (cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b))) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b))) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b))))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b)))))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b))))) |
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(*.f64 (*.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b)))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b)))) r) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b))))) |
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b))))) |
(*.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b))))) |
(exp.f64 (log.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b)))) #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b)))) #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))))) |
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 (neg.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (sin.f64 (neg.f64 b)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(exp.f64 (neg.f64 (log.f64 (*.f64 r r)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 r)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 r r)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 r (neg.f64 r))) |
(/.f64 #s(literal -1 binary64) (*.f64 r (*.f64 r #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 r) r)) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 r #s(literal -1 binary64)) r)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 r r))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 r) (*.f64 r #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 r #s(literal -1 binary64)) (neg.f64 r)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 r #s(literal -1 binary64)) (*.f64 r #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 r r) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 r (/.f64 #s(literal 1 binary64) r)))) |
(/.f64 (/.f64 #s(literal -1 binary64) r) (neg.f64 r)) |
(/.f64 (/.f64 #s(literal -1 binary64) r) (*.f64 r #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 r r)) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 r) (*.f64 r #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r #s(literal -1 binary64)) (neg.f64 r))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r #s(literal -1 binary64)) (*.f64 r #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 1 binary64) r))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (*.f64 r r)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 r (neg.f64 r)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 r (*.f64 r #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 r) r))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 r #s(literal -1 binary64)) r))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 r r)))) |
(/.f64 (/.f64 #s(literal 1 binary64) r) r) |
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(/.f64 (/.f64 #s(literal 1 binary64) r) (neg.f64 (*.f64 r #s(literal -1 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) #s(literal 1 binary64)) (neg.f64 r)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) #s(literal 1 binary64)) (*.f64 r #s(literal -1 binary64))) |
(/.f64 (exp.f64 (neg.f64 (log.f64 r))) (exp.f64 (log.f64 r))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) #s(literal 1 binary64))) (neg.f64 (neg.f64 r))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) #s(literal 1 binary64))) (neg.f64 (*.f64 r #s(literal -1 binary64)))) |
(pow.f64 r #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 r r) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 r) #s(literal -2 binary64)) |
(pow.f64 (*.f64 r #s(literal -1 binary64)) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (neg.f64 r) (*.f64 r #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 r #s(literal -1 binary64)) (neg.f64 r)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 r #s(literal -1 binary64)) (*.f64 r #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 r r) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 r (/.f64 #s(literal 1 binary64) r)) #s(literal -1 binary64)) |
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(*.f64 (cos.f64 a) (cos.f64 b)) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) |
(+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) |
(-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) |
(-.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b)))) |
(fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) |
(fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) |
(fma.f64 (*.f64 b b) b (*.f64 a (*.f64 a a))) |
(fma.f64 (*.f64 a a) a (*.f64 b (*.f64 b b))) |
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) |
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 a (*.f64 a a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b)))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b)))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))) |
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))))) |
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))) (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 a (*.f64 a a))))))) |
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (fma.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))) (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 a (*.f64 a a)))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (neg.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) |
(/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)))) (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) (neg.f64 (neg.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))) (neg.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))))) |
(pow.f64 (/.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b)))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 b b (*.f64 a (-.f64 a b))) (+.f64 b a)) |
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b)))))) |
(*.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) |
(*.f64 (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 b a))) (+.f64 b a)) |
(*.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (fma.f64 b b (fma.f64 a a (*.f64 b a)))) (/.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (-.f64 b a))) |
(exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 (neg.f64 b))) (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (sin.f64 b))) |
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (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 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 (neg.f64 b))) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 (neg.f64 b)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) |
(/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))) (sin.f64 (neg.f64 b))) |
(/.f64 (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) (sin.f64 (neg.f64 b))) |
(/.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 b a)))) (exp.f64 (log.f64 (sin.f64 (neg.f64 b))))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (cos.f64 (+.f64 b a))))) (exp.f64 (log.f64 (sin.f64 b)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 (neg.f64 b))) (*.f64 (sin.f64 (neg.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))) (sin.f64 b)) |
(/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))) (sin.f64 b)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 (neg.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 (neg.f64 b))) (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 (neg.f64 b))) (fma.f64 (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (sin.f64 b)) (*.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 (neg.f64 b))) (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (sin.f64 b)))))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (cos.f64 (+.f64 b a)) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b)))) |
(*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 b))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 b a)))) (exp.f64 (neg.f64 (log.f64 (sin.f64 (neg.f64 b)))))) |
(*.f64 (/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))) (sin.f64 b))) |
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))) |
(*.f64 (/.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
| 1× | egg-herbie |
| 9 488× | lower-fma.f64 |
| 9 488× | lower-fma.f32 |
| 6 830× | lower-*.f64 |
| 6 830× | lower-*.f32 |
| 3 780× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 836 | 7313 |
| 1 | 2714 | 6823 |
| 0 | 8739 | 6546 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (cos b)) |
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (cos a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ r (cos b)) |
(+ (* -1 (/ (* a (* r (sin (neg b)))) (pow (cos b) 2))) (/ r (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (/ (* r (sin (neg b))) (pow (cos b) 2)))) (/ r (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (sin (neg b))) (pow (cos b) 2))) (* 1/2 (/ (* r (sin (neg b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (/ (* r (sin (neg b))) (pow (cos b) 2)))) (/ r (cos b))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(cos b) |
(+ (cos b) (* a (sin (neg b)))) |
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b))))))))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(* -1 b) |
(* b (- (* 1/6 (pow b 2)) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1)) |
(sin (neg b)) |
(sin (neg b)) |
(sin (neg b)) |
(sin (neg b)) |
(sin (* -1 b)) |
(sin (* -1 b)) |
(sin (* -1 b)) |
(sin (* -1 b)) |
(* 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) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(* -1 a) |
(+ (* -1 a) (* -1 b)) |
(+ (* -1 a) (* -1 b)) |
(+ (* -1 a) (* -1 b)) |
(* -1 b) |
(* b (- (/ a b) (+ 1 (* 2 (/ a b))))) |
(* b (- (+ (* -1 (/ (+ (* -2 (* a (- a (* 2 a)))) (* -2 (pow a 2))) (pow b 2))) (/ a b)) (+ 1 (* 2 (/ a b))))) |
(* b (- (+ (* -1 (/ (pow a 3) (pow b 3))) (/ a b)) (+ 1 (+ (* -2 (/ (* a (- a (* 2 a))) (pow b 2))) (+ (* -2 (/ (pow a 2) (pow b 2))) (+ (* 2 (/ a b)) (+ (* 2 (/ (* a (+ (* -2 (* a (- a (* 2 a)))) (* -2 (pow a 2)))) (pow b 3))) (+ (* 2 (/ (* (pow a 2) (- a (* 2 a))) (pow b 3))) (/ (pow a 3) (pow b 3)))))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (/ a b)))) |
(* -1 (* b (+ 1 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) b))) b))))) |
(* -1 (* b (+ 1 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (+ (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b) (pow a 2))) b))) b))))) |
(* -1 b) |
(+ (* -1 a) (* -1 b)) |
(+ (* -1 a) (* -1 b)) |
(+ (* -1 a) (* -1 b)) |
(* -1 a) |
(* a (- (/ b a) (+ 1 (* 2 (/ b a))))) |
(* a (- (+ (* -1 (/ (+ (* -2 (* b (- b (* 2 b)))) (* -2 (pow b 2))) (pow a 2))) (/ b a)) (+ 1 (* 2 (/ b a))))) |
(* a (- (+ (* -1 (/ (pow b 3) (pow a 3))) (/ b a)) (+ 1 (+ (* -2 (/ (* b (- b (* 2 b))) (pow a 2))) (+ (* -2 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ b a)) (+ (* 2 (/ (* b (+ (* -2 (* b (- b (* 2 b)))) (* -2 (pow b 2)))) (pow a 3))) (+ (* 2 (/ (* (pow b 2) (- b (* 2 b))) (pow a 3))) (/ (pow b 3) (pow a 3)))))))))) |
(* -1 a) |
(* -1 (* a (+ 1 (/ b a)))) |
(* -1 (* a (+ 1 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a))) a))))) |
(* -1 (* a (+ 1 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (pow b 2)) (+ (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a) (pow b 2))) a))) a))))) |
(cos (* -1 a)) |
(+ (cos (* -1 a)) (* b (sin (* -1 a)))) |
(+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a)))))) |
(+ (cos (* -1 a)) (* b (- (* b (+ (* -1/2 (cos (* -1 a))) (* -1/6 (* b (sin (* -1 a)))))) (* -1 (sin (* -1 a)))))) |
(cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a)))) |
(cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a)))) |
(cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a)))) |
(cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a)))) |
(cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2))))) |
(cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2))))) |
(cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2))))) |
(cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2))))) |
(cos (* -1 b)) |
(+ (cos (* -1 b)) (* a (sin (* -1 b)))) |
(+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b)))))) |
(+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -1 b)))))) |
(cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (- b a) (- (+ (pow a 2) (pow b 2)) (* a b))))) |
(cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (- b a) (- (+ (pow a 2) (pow b 2)) (* a b))))) |
(cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (- b a) (- (+ (pow a 2) (pow b 2)) (* a b))))) |
(cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (- b a) (- (+ (pow a 2) (pow b 2)) (* a b))))) |
(cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))) |
(cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))) |
(cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))) |
(cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))) |
b |
(+ b (* -1 a)) |
(+ b (* -1 a)) |
(+ b (* -1 a)) |
(* -1 a) |
(* a (- (/ b a) 1)) |
(* a (- (/ b a) 1)) |
(* a (- (/ b a) 1)) |
(* -1 a) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(* -1 a) |
(- b a) |
(- b a) |
(- b a) |
b |
(* b (+ 1 (* -1 (/ a b)))) |
(* b (+ 1 (* -1 (/ a b)))) |
(* b (+ 1 (* -1 (/ a b)))) |
b |
(* -1 (* b (- (/ a b) 1))) |
(* -1 (* b (- (/ a b) 1))) |
(* -1 (* b (- (/ a b) 1))) |
(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
(/ (* b r) (cos (* -1 a))) |
(* b (+ (* -1 (/ (* b (* r (sin (* -1 a)))) (pow (cos (* -1 a)) 2))) (/ r (cos (* -1 a))))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (+ (* 1/2 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (/ (* (sin (* -1 a)) (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (cos (* -1 a))))))) (* -1/6 (/ r (cos (* -1 a))))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a))))) |
(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
(/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2)))))) |
(/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2)))))) |
(/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2)))))) |
(/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2)))))) |
(/ (* r (sin b)) (cos (* -1 b))) |
(+ (* -1 (/ (* a (* r (* (sin b) (sin (* -1 b))))) (pow (cos (* -1 b)) 2))) (/ (* r (sin b)) (cos (* -1 b)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b)))) |
(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (- b a) (- (+ (pow a 2) (pow b 2)) (* a b)))))) |
(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (- b a) (- (+ (pow a 2) (pow b 2)) (* a b)))))) |
(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (- b a) (- (+ (pow a 2) (pow b 2)) (* a b)))))) |
(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (- b a) (- (+ (pow a 2) (pow b 2)) (* a b)))))) |
(/ (* r (sin b)) (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))) |
(/ (* r (sin b)) (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))) |
(/ (* r (sin b)) (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))) |
(/ (* r (sin b)) (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))) |
(* -1 (/ b (cos a))) |
(* b (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))) |
(* b (- (* b (- (* b (- (* 1/6 (/ 1 (cos a))) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a)))) |
(* b (- (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/6 (/ 1 (cos a))) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/6 (/ (sin a) (pow (cos a) 2))) (* 1/2 (/ (sin a) (pow (cos a) 2))))))) (* 1/6 (/ 1 (cos a)))) (+ (* 1/2 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a)))) |
(/ (sin (neg b)) (cos (+ a b))) |
(/ (sin (neg b)) (cos (+ a b))) |
(/ (sin (neg b)) (cos (+ a b))) |
(/ (sin (neg b)) (cos (+ a b))) |
(/ (sin (* -1 b)) (cos (- a (* -1 b)))) |
(/ (sin (* -1 b)) (cos (- a (* -1 b)))) |
(/ (sin (* -1 b)) (cos (- a (* -1 b)))) |
(/ (sin (* -1 b)) (cos (- a (* -1 b)))) |
(/ (sin (neg b)) (cos b)) |
(+ (/ (sin (neg b)) (cos b)) (/ (* a (* (sin b) (sin (neg b)))) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg b))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg b)) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))))) (/ (sin (neg b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))) (+ (* 1/6 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg b))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg b))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg b)) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))))) (/ (sin (neg b)) (cos b))) |
(/ (sin (neg b)) (cos (+ a b))) |
(/ (sin (neg b)) (cos (+ a b))) |
(/ (sin (neg b)) (cos (+ a b))) |
(/ (sin (neg b)) (cos (+ a b))) |
(/ (sin (neg b)) (cos (- b (* -1 a)))) |
(/ (sin (neg b)) (cos (- b (* -1 a)))) |
(/ (sin (neg b)) (cos (- b (* -1 a)))) |
(/ (sin (neg b)) (cos (- b (* -1 a)))) |
(/ 1 (pow r 2)) |
(/ 1 (pow r 2)) |
(/ 1 (pow r 2)) |
(/ 1 (pow r 2)) |
(/ 1 (pow r 2)) |
(/ 1 (pow r 2)) |
(/ 1 (pow r 2)) |
(/ 1 (pow r 2)) |
(/ 1 (pow r 2)) |
(/ 1 (pow r 2)) |
(/ 1 (pow r 2)) |
(/ 1 (pow r 2)) |
(/ (* r (sin (neg b))) (cos (+ a b))) |
(/ (* r (sin (neg b))) (cos (+ a b))) |
(/ (* r (sin (neg b))) (cos (+ a b))) |
(/ (* r (sin (neg b))) (cos (+ a b))) |
(/ (* r (sin (neg b))) (cos (+ a b))) |
(/ (* r (sin (neg b))) (cos (+ a b))) |
(/ (* r (sin (neg b))) (cos (+ a b))) |
(/ (* r (sin (neg b))) (cos (+ a b))) |
(* -1 (/ (* r (sin (neg b))) (cos (+ a b)))) |
(* -1 (/ (* r (sin (neg b))) (cos (+ a b)))) |
(* -1 (/ (* r (sin (neg b))) (cos (+ a b)))) |
(* -1 (/ (* r (sin (neg b))) (cos (+ a b)))) |
(* -1 (/ (* b r) (cos a))) |
(* b (+ (* -1 (/ r (cos a))) (* -1 (/ (* b (* r (sin a))) (pow (cos a) 2))))) |
(* b (+ (* -1 (/ r (cos a))) (* b (- (* b (- (* 1/6 (/ r (cos a))) (+ (* 1/2 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (/ (* r (sin a)) (pow (cos a) 2)))))) |
(* b (+ (* -1 (/ r (cos a))) (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/6 (/ r (cos a))) (+ (* 1/2 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (cos a))) (+ (* -1/6 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/2 (/ (* r (sin a)) (pow (cos a) 2))))))) (* 1/6 (/ r (cos a)))) (+ (* 1/2 (/ r (cos a))) (/ (* r (pow (sin a) 2)) (pow (cos a) 3))))) (/ (* r (sin a)) (pow (cos a) 2)))))) |
(/ (* r (sin (neg b))) (cos (+ a b))) |
(/ (* r (sin (neg b))) (cos (+ a b))) |
(/ (* r (sin (neg b))) (cos (+ a b))) |
(/ (* r (sin (neg b))) (cos (+ a b))) |
(/ (* r (sin (* -1 b))) (cos (- a (* -1 b)))) |
(/ (* r (sin (* -1 b))) (cos (- a (* -1 b)))) |
(/ (* r (sin (* -1 b))) (cos (- a (* -1 b)))) |
(/ (* r (sin (* -1 b))) (cos (- a (* -1 b)))) |
(/ (* r (sin (neg b))) (cos b)) |
(+ (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2)) (/ (* r (sin (neg b))) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg b))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))) (/ (* r (sin (neg b))) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg b))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg b))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))) (/ (* r (sin (neg b))) (cos b))) |
(/ (* r (sin (neg b))) (cos (+ a b))) |
(/ (* r (sin (neg b))) (cos (+ a b))) |
(/ (* r (sin (neg b))) (cos (+ a b))) |
(/ (* r (sin (neg b))) (cos (+ a b))) |
(/ (* r (sin (neg b))) (cos (- b (* -1 a)))) |
(/ (* r (sin (neg b))) (cos (- b (* -1 a)))) |
(/ (* r (sin (neg b))) (cos (- b (* -1 a)))) |
(/ (* r (sin (neg b))) (cos (- b (* -1 a)))) |
r |
r |
r |
r |
r |
r |
r |
r |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(cos b) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(cos a) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(pow a 3) |
(+ (pow a 3) (pow b 3)) |
(+ (pow a 3) (pow b 3)) |
(+ (pow a 3) (pow b 3)) |
(pow b 3) |
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3)))) |
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3)))) |
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3)))) |
(pow b 3) |
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1))) |
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1))) |
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1))) |
(pow b 3) |
(+ (pow a 3) (pow b 3)) |
(+ (pow a 3) (pow b 3)) |
(+ (pow a 3) (pow b 3)) |
(pow a 3) |
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3)))) |
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3)))) |
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3)))) |
(pow a 3) |
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1))) |
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1))) |
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1))) |
(* -1 (/ (cos a) b)) |
(/ (+ (* -1 (cos a)) (* b (sin a))) b) |
(/ (+ (* -1 (cos a)) (* b (+ (sin a) (* b (- (* 1/2 (cos a)) (* 1/6 (cos a))))))) b) |
(/ (+ (* -1 (cos a)) (* b (+ (sin a) (* b (- (+ (* 1/2 (cos a)) (* (pow b 2) (- (* -1/24 (cos a)) (+ (* -1/6 (- (* 1/2 (cos a)) (* 1/6 (cos a)))) (* -1/120 (cos a)))))) (* 1/6 (cos a))))))) b) |
(/ (cos (+ a b)) (sin (neg b))) |
(/ (cos (+ a b)) (sin (neg b))) |
(/ (cos (+ a b)) (sin (neg b))) |
(/ (cos (+ a b)) (sin (neg b))) |
(/ (cos (- a (* -1 b))) (sin (* -1 b))) |
(/ (cos (- a (* -1 b))) (sin (* -1 b))) |
(/ (cos (- a (* -1 b))) (sin (* -1 b))) |
(/ (cos (- a (* -1 b))) (sin (* -1 b))) |
(/ (cos b) (sin (neg b))) |
(+ (* -1 (/ (* a (sin b)) (sin (neg b)))) (/ (cos b) (sin (neg b)))) |
(+ (* a (+ (* -1 (/ (sin b) (sin (neg b)))) (* -1/2 (/ (* a (cos b)) (sin (neg b)))))) (/ (cos b) (sin (neg b)))) |
(+ (* a (+ (* -1 (/ (sin b) (sin (neg b)))) (* a (+ (* -1/2 (/ (cos b) (sin (neg b)))) (* 1/6 (/ (* a (sin b)) (sin (neg b)))))))) (/ (cos b) (sin (neg b)))) |
(/ (cos (+ a b)) (sin (neg b))) |
(/ (cos (+ a b)) (sin (neg b))) |
(/ (cos (+ a b)) (sin (neg b))) |
(/ (cos (+ a b)) (sin (neg b))) |
(/ (cos (- b (* -1 a))) (sin (neg b))) |
(/ (cos (- b (* -1 a))) (sin (neg b))) |
(/ (cos (- b (* -1 a))) (sin (neg b))) |
(/ (cos (- b (* -1 a))) (sin (neg 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 b (/.f64 r (cos.f64 a))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) r) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (-.f64 (*.f64 r (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) r) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (cos.f64 a))) (neg.f64 b) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) r) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.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))))) |
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(cos a) |
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(cos b) |
(cos.f64 b) |
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(sin (neg b)) |
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(/ (sin b) (cos b)) |
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b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
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(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
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(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
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(sin b) |
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(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
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(cos (+ a b)) |
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(cos b) |
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(cos (+ a b)) |
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(cos (+ a b)) |
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(cos (+ a b)) |
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(cos (+ a b)) |
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(cos (- b (* -1 a))) |
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(cos (- b (* -1 a))) |
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(cos (- b (* -1 a))) |
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(* -1 a) |
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(* b (- (+ (* -1 (/ (+ (* -2 (* a (- a (* 2 a)))) (* -2 (pow a 2))) (pow b 2))) (/ a b)) (+ 1 (* 2 (/ a b))))) |
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(* -1 b) |
(neg.f64 b) |
(* -1 (* b (+ 1 (/ a b)))) |
(neg.f64 (fma.f64 b (/.f64 a b) b)) |
(* -1 (* b (+ 1 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) b))) b))))) |
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(* -1 (* b (+ 1 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (+ (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b) (pow a 2))) b))) b))))) |
(neg.f64 (fma.f64 b (/.f64 (-.f64 (neg.f64 a) (/.f64 (fma.f64 a (/.f64 #s(literal 0 binary64) b) #s(literal 0 binary64)) b)) (neg.f64 b)) b)) |
(* -1 b) |
(neg.f64 b) |
(+ (* -1 a) (* -1 b)) |
(-.f64 (neg.f64 b) a) |
(+ (* -1 a) (* -1 b)) |
(-.f64 (neg.f64 b) a) |
(+ (* -1 a) (* -1 b)) |
(-.f64 (neg.f64 b) a) |
(* -1 a) |
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(* a (- (/ b a) (+ 1 (* 2 (/ b a))))) |
(*.f64 a (-.f64 (/.f64 b a) (fma.f64 #s(literal 2 binary64) (/.f64 b a) #s(literal 1 binary64)))) |
(* a (- (+ (* -1 (/ (+ (* -2 (* b (- b (* 2 b)))) (* -2 (pow b 2))) (pow a 2))) (/ b a)) (+ 1 (* 2 (/ b a))))) |
(*.f64 a (+.f64 (/.f64 #s(literal 0 binary64) (*.f64 a a)) (-.f64 (/.f64 b a) (fma.f64 #s(literal 2 binary64) (/.f64 b a) #s(literal 1 binary64))))) |
(* a (- (+ (* -1 (/ (pow b 3) (pow a 3))) (/ b a)) (+ 1 (+ (* -2 (/ (* b (- b (* 2 b))) (pow a 2))) (+ (* -2 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ b a)) (+ (* 2 (/ (* b (+ (* -2 (* b (- b (* 2 b)))) (* -2 (pow b 2)))) (pow a 3))) (+ (* 2 (/ (* (pow b 2) (- b (* 2 b))) (pow a 3))) (/ (pow b 3) (pow a 3)))))))))) |
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(* -1 a) |
(neg.f64 a) |
(* -1 (* a (+ 1 (/ b a)))) |
(neg.f64 (fma.f64 a (/.f64 b a) a)) |
(* -1 (* a (+ 1 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a))) a))))) |
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(* -1 (* a (+ 1 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (pow b 2)) (+ (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a) (pow b 2))) a))) a))))) |
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(cos (* -1 a)) |
(cos.f64 a) |
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(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a)))))) |
(fma.f64 b (sin.f64 (neg.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))) |
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(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/6 binary64) (neg.f64 (*.f64 b (sin.f64 a))) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 (neg.f64 a))) (cos.f64 a)) |
(cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a)))) |
(cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (-.f64 b a) (fma.f64 a a (*.f64 b (-.f64 b a)))))) |
(cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a)))) |
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(cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a)))) |
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(cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a)))) |
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(cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2))))) |
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(cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2))))) |
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(cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2))))) |
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(cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* a (+ a (* -1 b))) (pow b 2))))) |
(cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (fma.f64 a a (*.f64 b (-.f64 b a))))) |
(cos (* -1 b)) |
(cos.f64 b) |
(+ (cos (* -1 b)) (* a (sin (* -1 b)))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b)))))) |
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(cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (- b a) (- (+ (pow a 2) (pow b 2)) (* a b))))) |
(cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (-.f64 b a) (fma.f64 a a (*.f64 b (-.f64 b a)))))) |
(cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (- b a) (- (+ (pow a 2) (pow b 2)) (* a b))))) |
(cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (-.f64 b a) (fma.f64 a a (*.f64 b (-.f64 b a)))))) |
(cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (- b a) (- (+ (pow a 2) (pow b 2)) (* a b))))) |
(cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (-.f64 b a) (fma.f64 a a (*.f64 b (-.f64 b a)))))) |
(cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (- b a) (- (+ (pow a 2) (pow b 2)) (* a b))))) |
(cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (-.f64 b a) (fma.f64 a a (*.f64 b (-.f64 b a)))))) |
(cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))) |
(cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (fma.f64 a a (*.f64 b (-.f64 b a))))) |
(cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))) |
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(cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))) |
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(cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))) |
(cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (fma.f64 a a (*.f64 b (-.f64 b a))))) |
b |
(+ b (* -1 a)) |
(-.f64 b a) |
(+ b (* -1 a)) |
(-.f64 b a) |
(+ b (* -1 a)) |
(-.f64 b a) |
(* -1 a) |
(neg.f64 a) |
(* a (- (/ b a) 1)) |
(fma.f64 a (/.f64 b a) (neg.f64 a)) |
(* a (- (/ b a) 1)) |
(fma.f64 a (/.f64 b a) (neg.f64 a)) |
(* a (- (/ b a) 1)) |
(fma.f64 a (/.f64 b a) (neg.f64 a)) |
(* -1 a) |
(neg.f64 a) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(neg.f64 (fma.f64 a (/.f64 b (neg.f64 a)) a)) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(neg.f64 (fma.f64 a (/.f64 b (neg.f64 a)) a)) |
(* -1 (* a (+ 1 (* -1 (/ b a))))) |
(neg.f64 (fma.f64 a (/.f64 b (neg.f64 a)) a)) |
(* -1 a) |
(neg.f64 a) |
(- b a) |
(-.f64 b a) |
(- b a) |
(-.f64 b a) |
(- b a) |
(-.f64 b a) |
b |
(* b (+ 1 (* -1 (/ a b)))) |
(fma.f64 b (/.f64 a (neg.f64 b)) b) |
(* b (+ 1 (* -1 (/ a b)))) |
(fma.f64 b (/.f64 a (neg.f64 b)) b) |
(* b (+ 1 (* -1 (/ a b)))) |
(fma.f64 b (/.f64 a (neg.f64 b)) b) |
b |
(* -1 (* b (- (/ a b) 1))) |
(fma.f64 b (/.f64 a (neg.f64 b)) b) |
(* -1 (* b (- (/ a b) 1))) |
(fma.f64 b (/.f64 a (neg.f64 b)) b) |
(* -1 (* b (- (/ a b) 1))) |
(fma.f64 b (/.f64 a (neg.f64 b)) b) |
(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
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(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (-.f64 b a) (fma.f64 a a (*.f64 b (-.f64 b a))))))) |
(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (-.f64 b a) (fma.f64 a a (*.f64 b (-.f64 b a))))))) |
(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (-.f64 b a) (fma.f64 a a (*.f64 b (-.f64 b a))))))) |
(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
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(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
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(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
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(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (-.f64 b a) (fma.f64 a a (*.f64 b (-.f64 b a))))))) |
(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
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(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (-.f64 b a) (fma.f64 a a (*.f64 b (-.f64 b a))))))) |
(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (-.f64 b a) (fma.f64 a a (*.f64 b (-.f64 b a))))))) |
(/ (* b r) (cos (* -1 a))) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(* b (+ (* -1 (/ (* b (* r (sin (* -1 a)))) (pow (cos (* -1 a)) 2))) (/ r (cos (* -1 a))))) |
(*.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 (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a))))) |
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) r) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (+ (* 1/2 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (/ (* (sin (* -1 a)) (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (cos (* -1 a))))))) (* -1/6 (/ r (cos (* -1 a))))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a))))) |
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 r (sin.f64 a)) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(literal 1/3 binary64) (/.f64 (*.f64 (sin.f64 (neg.f64 a)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) r) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (cos.f64 a))))) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) r) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (-.f64 b a) (fma.f64 a a (*.f64 b (-.f64 b a))))))) |
(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (-.f64 b a) (fma.f64 a a (*.f64 b (-.f64 b a))))))) |
(/ (* r (sin b)) (cos (/ (* (+ (pow a 3) (pow b 3)) (- a b)) (* (+ (* a (- a b)) (pow b 2)) (- b a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (-.f64 b a) (fma.f64 a a (*.f64 b (-.f64 b a))))))) |
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(fma.f64 r (neg.f64 (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 a (*.f64 (neg.f64 r) (/.f64 (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) 2) (sin (neg b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg b))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))) (/ (* r (sin (neg b))) (cos b))) |
(fma.f64 (neg.f64 a) (fma.f64 a (fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) r) (sin.f64 (neg.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 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg b))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg b))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))) (/ (* r (sin (neg b))) (cos b))) |
(fma.f64 a (fma.f64 a (neg.f64 (fma.f64 a (fma.f64 (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (/.f64 (*.f64 (sin.f64 b) (fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) r) (sin.f64 (neg.f64 b))) (cos.f64 b)))) (cos.f64 b))) (fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) r) (sin.f64 (neg.f64 b))) (cos.f64 b))))) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 b))) |
(/ (* r (sin (neg b))) (cos (+ a b))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) |
(/ (* r (sin (neg b))) (cos (+ a b))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) |
(/ (* r (sin (neg b))) (cos (+ a b))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) |
(/ (* r (sin (neg b))) (cos (+ a b))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) |
(/ (* r (sin (neg b))) (cos (- b (* -1 a)))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) |
(/ (* r (sin (neg b))) (cos (- b (* -1 a)))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) |
(/ (* r (sin (neg b))) (cos (- b (* -1 a)))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) |
(/ (* r (sin (neg b))) (cos (- b (* -1 a)))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) |
r |
r |
r |
r |
r |
r |
r |
r |
(* -1 r) |
(neg.f64 r) |
(* -1 r) |
(neg.f64 r) |
(* -1 r) |
(neg.f64 r) |
(* -1 r) |
(neg.f64 r) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b)) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(fma.f64 (*.f64 a a) (*.f64 (cos.f64 b) (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) (cos.f64 b)) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 (cos.f64 b) (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)))))) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(fma.f64 (*.f64 b b) (*.f64 (cos.f64 a) (fma.f64 #s(literal 1/24 binary64) (*.f64 b b) #s(literal -1/2 binary64))) (cos.f64 a)) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64))) (*.f64 (*.f64 b b) (*.f64 b b)))) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(+ (pow a 3) (pow b 3)) |
(fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) |
(+ (pow a 3) (pow b 3)) |
(fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) |
(+ (pow a 3) (pow b 3)) |
(fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3)))) |
(*.f64 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))))) |
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3)))) |
(*.f64 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))))) |
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3)))) |
(*.f64 b (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))))) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1))) |
(*.f64 (*.f64 b (*.f64 b (neg.f64 b))) (fma.f64 (*.f64 a a) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b))) #s(literal -1 binary64))) |
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1))) |
(*.f64 (*.f64 b (*.f64 b (neg.f64 b))) (fma.f64 (*.f64 a a) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b))) #s(literal -1 binary64))) |
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1))) |
(*.f64 (*.f64 b (*.f64 b (neg.f64 b))) (fma.f64 (*.f64 a a) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b))) #s(literal -1 binary64))) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(+ (pow a 3) (pow b 3)) |
(fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) |
(+ (pow a 3) (pow b 3)) |
(fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) |
(+ (pow a 3) (pow b 3)) |
(fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3)))) |
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) |
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3)))) |
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) |
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3)))) |
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1))) |
(*.f64 (*.f64 a (*.f64 a (neg.f64 a))) (fma.f64 (*.f64 b b) (/.f64 (neg.f64 b) (*.f64 a (*.f64 a a))) #s(literal -1 binary64))) |
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1))) |
(*.f64 (*.f64 a (*.f64 a (neg.f64 a))) (fma.f64 (*.f64 b b) (/.f64 (neg.f64 b) (*.f64 a (*.f64 a a))) #s(literal -1 binary64))) |
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1))) |
(*.f64 (*.f64 a (*.f64 a (neg.f64 a))) (fma.f64 (*.f64 b b) (/.f64 (neg.f64 b) (*.f64 a (*.f64 a a))) #s(literal -1 binary64))) |
(* -1 (/ (cos a) b)) |
(neg.f64 (/.f64 (cos.f64 a) b)) |
(/ (+ (* -1 (cos a)) (* b (sin a))) b) |
(/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) |
(/ (+ (* -1 (cos a)) (* b (+ (sin a) (* b (- (* 1/2 (cos a)) (* 1/6 (cos a))))))) b) |
(/.f64 (fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal 1/3 binary64)) (sin.f64 a)) (neg.f64 (cos.f64 a))) b) |
(/ (+ (* -1 (cos a)) (* b (+ (sin a) (* b (- (+ (* 1/2 (cos a)) (* (pow b 2) (- (* -1/24 (cos a)) (+ (* -1/6 (- (* 1/2 (cos a)) (* 1/6 (cos a)))) (* -1/120 (cos a)))))) (* 1/6 (cos a))))))) b) |
(/.f64 (-.f64 (*.f64 b (fma.f64 b (fma.f64 (*.f64 b b) (-.f64 (*.f64 (cos.f64 a) #s(literal -1/24 binary64)) (fma.f64 (cos.f64 a) #s(literal -1/120 binary64) (*.f64 (cos.f64 a) #s(literal -1/18 binary64)))) (*.f64 (cos.f64 a) #s(literal 1/3 binary64))) (sin.f64 a))) (cos.f64 a)) b) |
(/ (cos (+ a b)) (sin (neg b))) |
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/ (cos (+ a b)) (sin (neg b))) |
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/ (cos (+ a b)) (sin (neg b))) |
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/ (cos (+ a b)) (sin (neg b))) |
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/ (cos (- a (* -1 b))) (sin (* -1 b))) |
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/ (cos (- a (* -1 b))) (sin (* -1 b))) |
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/ (cos (- a (* -1 b))) (sin (* -1 b))) |
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/ (cos (- a (* -1 b))) (sin (* -1 b))) |
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/ (cos b) (sin (neg b))) |
(/.f64 (cos.f64 b) (sin.f64 (neg.f64 b))) |
(+ (* -1 (/ (* a (sin b)) (sin (neg b)))) (/ (cos b) (sin (neg b)))) |
(fma.f64 a (/.f64 (sin.f64 b) (sin.f64 b)) (/.f64 (cos.f64 b) (sin.f64 (neg.f64 b)))) |
(+ (* a (+ (* -1 (/ (sin b) (sin (neg b)))) (* -1/2 (/ (* a (cos b)) (sin (neg b)))))) (/ (cos b) (sin (neg b)))) |
(fma.f64 a (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (cos.f64 b) (sin.f64 (neg.f64 b))) (/.f64 (sin.f64 b) (sin.f64 b))) (/.f64 (cos.f64 b) (sin.f64 (neg.f64 b)))) |
(+ (* a (+ (* -1 (/ (sin b) (sin (neg b)))) (* a (+ (* -1/2 (/ (cos b) (sin (neg b)))) (* 1/6 (/ (* a (sin b)) (sin (neg b)))))))) (/ (cos b) (sin (neg b)))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 b) (sin.f64 (neg.f64 b))) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 b)) a) (sin.f64 b)))) (/.f64 (sin.f64 b) (sin.f64 b))) (/.f64 (cos.f64 b) (sin.f64 (neg.f64 b)))) |
(/ (cos (+ a b)) (sin (neg b))) |
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/ (cos (+ a b)) (sin (neg b))) |
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/ (cos (+ a b)) (sin (neg b))) |
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/ (cos (+ a b)) (sin (neg b))) |
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/ (cos (- b (* -1 a))) (sin (neg b))) |
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/ (cos (- b (* -1 a))) (sin (neg b))) |
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/ (cos (- b (* -1 a))) (sin (neg b))) |
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/ (cos (- b (* -1 a))) (sin (neg b))) |
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
Compiled 39 455 to 3 356 computations (91.5% saved)
74 alts after pruning (69 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 414 | 19 | 1 433 |
| Fresh | 17 | 50 | 67 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 433 | 74 | 1 507 |
| Status | Accuracy | Program |
|---|---|---|
| 27.6% | (pow.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 r r))) #s(literal -1/2 binary64)) | |
| 50.4% | (/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))) | |
| 50.2% | (/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) | |
| ✓ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 63.3% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))) | |
| 56.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) | |
| 84.5% | (/.f64 (*.f64 r (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 a) (cos.f64 b))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))))) | |
| 98.6% | (/.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) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| 75.5% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (cos.f64 (-.f64 a b)))) | |
| 52.2% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) | |
| 75.8% | (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) | |
| 34.2% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (-.f64 a b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 a b) (-.f64 a b)) (*.f64 #s(literal 0 binary64) (neg.f64 (-.f64 a b))))))))) | |
| 42.5% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (/.f64 (-.f64 (neg.f64 b) a) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (-.f64 b a))))))) | |
| 30.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 a)))) | |
| 25.5% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (-.f64 a b)) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b)))))) | |
| 72.0% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))) | |
| 32.2% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) (*.f64 a (*.f64 a a))) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a))) (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))))) | |
| ▶ | 38.9% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))))) |
| 24.1% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64))))) | |
| 62.5% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) | |
| 55.1% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) | |
| 35.9% | (/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 35.8% | (/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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))) | |
| 36.1% | (/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 50.5% | (/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) | |
| ✓ | 50.6% | (/.f64 (*.f64 r b) (cos.f64 a)) |
| 75.7% | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) | |
| 75.7% | (/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal -1 binary64) r)) | |
| ▶ | 17.1% | (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) |
| 18.4% | (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 b)) | |
| 75.8% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 75.4% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) r) (*.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) #s(literal 1 binary64)))) | |
| ▶ | 31.7% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
| 40.5% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 98.5% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) | |
| 70.6% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 (neg.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 (neg.f64 b))) (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 (neg.f64 b))) (fma.f64 (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (sin.f64 b)) (*.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 (neg.f64 b))) (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (sin.f64 b)))))) #s(literal -1 binary64))) | |
| ▶ | 54.0% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) #s(literal -1 binary64))) |
| 99.3% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 (neg.f64 b))) (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (sin.f64 b))) #s(literal -1 binary64))) | |
| 62.4% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 b) (cos.f64 b)))) | |
| 17.4% | (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 b) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) | |
| 17.3% | (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 a) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) | |
| 16.3% | (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))))) | |
| 17.4% | (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (sin.f64 b) (cos.f64 b)))) | |
| 75.7% | (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 (sin.f64 b) #s(literal -1 binary64))) | |
| 16.3% | (*.f64 (pow.f64 (*.f64 r r) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) | |
| 98.6% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| ▶ | 99.5% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) r) |
| ✓ | 75.9% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
| 62.5% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) | |
| 55.2% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) | |
| 50.7% | (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (*.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 b))))))) | |
| ✓ | 99.5% | (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
| 63.3% | (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))) (sin.f64 b)) | |
| 56.5% | (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) (sin.f64 b)) | |
| 98.6% | (*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))))) (sin.f64 b)) | |
| 75.7% | (*.f64 (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) | |
| 99.5% | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) | |
| 75.9% | (*.f64 (/.f64 r (cos.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (-.f64 a b))))) (sin.f64 b)) | |
| 62.5% | (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) | |
| 55.2% | (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) | |
| 50.6% | (*.f64 (/.f64 b (cos.f64 a)) r) | |
| 75.8% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) r) | |
| 75.7% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b)) | |
| 75.5% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) | |
| 75.7% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) | |
| 75.8% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) | |
| 75.8% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r) | |
| 75.8% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) | |
| 49.5% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) | |
| ✓ | 36.8% | (*.f64 r b) |
| 50.6% | (*.f64 b (/.f64 r (cos.f64 a))) | |
| 15.4% | (neg.f64 (*.f64 b (/.f64 r (cos.f64 a)))) | |
| 21.8% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r b))) #s(literal -1 binary64))) |
Compiled 3 261 to 1 950 computations (40.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) #s(literal -1 binary64))) |
| ✓ | cost-diff | 320 | (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) |
| ✓ | cost-diff | 6144 | (pow.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) #s(literal -1 binary64)) |
| ✓ | cost-diff | 7040 | (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) |
| ✓ | cost-diff | 704 | (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 0 binary64) a) |
| ✓ | cost-diff | 896 | (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))) |
| ✓ | cost-diff | 2240 | (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a)))) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (*.f64 r (sin.f64 b)) |
| ✓ | cost-diff | 0 | (neg.f64 (*.f64 r (sin.f64 b))) |
| ✓ | cost-diff | 0 | (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) |
| ✓ | cost-diff | 0 | (*.f64 r b) |
| ✓ | cost-diff | 0 | (*.f64 a a) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
| ✓ | cost-diff | 0 | (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) r) |
| 28 044× | lower-fma.f32 |
| 28 036× | lower-fma.f64 |
| 3 564× | lower-*.f32 |
| 3 546× | lower-*.f64 |
| 2 450× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 341 |
| 0 | 82 | 309 |
| 1 | 139 | 299 |
| 2 | 276 | 251 |
| 3 | 671 | 245 |
| 4 | 1716 | 238 |
| 5 | 5128 | 237 |
| 0 | 8105 | 236 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) r) |
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(sin.f64 (neg.f64 b)) |
(neg.f64 b) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 a) |
(cos.f64 b) |
r |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 a a) |
a |
#s(literal 1 binary64) |
(*.f64 r b) |
r |
b |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) |
(neg.f64 (*.f64 r (sin.f64 b))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
a |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a)))))) |
(*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))) |
a |
(-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a)))) |
(fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) |
(/.f64 b (*.f64 a a)) |
(*.f64 a a) |
(/.f64 #s(literal 0 binary64) a) |
#s(literal 0 binary64) |
(fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))) |
(+.f64 #s(literal 1 binary64) (/.f64 b a)) |
#s(literal 1 binary64) |
(/.f64 b a) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) r) |
#s(literal -1 binary64) |
r |
(pow.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) |
(-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) |
(*.f64 b (sin.f64 a)) |
b |
(sin.f64 a) |
a |
(cos.f64 a) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) r) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(sin.f64 (neg.f64 b)) |
(neg.f64 b) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 a) |
(cos.f64 b) |
r |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 r (*.f64 a a)) r)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 a a) |
a |
#s(literal 1 binary64) |
(*.f64 r b) |
(*.f64 b r) |
r |
b |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) |
(neg.f64 (*.f64 r (sin.f64 b))) |
(neg.f64 (*.f64 (sin.f64 b) r)) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
a |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a)))))) |
(cos.f64 (+.f64 b a)) |
(*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))) |
(-.f64 (neg.f64 b) a) |
a |
(-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a)))) |
(-.f64 #s(literal -1 binary64) (/.f64 b a)) |
(fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) |
(/.f64 (*.f64 b b) (*.f64 a a)) |
(/.f64 b (*.f64 a a)) |
(*.f64 a a) |
(/.f64 #s(literal 0 binary64) a) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))) |
(fma.f64 (/.f64 b (*.f64 a a)) (+.f64 b a) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 b a)) |
#s(literal 1 binary64) |
(/.f64 b a) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) #s(literal -1 binary64))) |
(/.f64 (*.f64 b r) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
(pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) |
(neg.f64 r) |
(/.f64 #s(literal -1 binary64) r) |
#s(literal -1 binary64) |
r |
(pow.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) #s(literal -1 binary64)) |
(/.f64 b (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) |
(/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) |
(-.f64 (sin.f64 a) (/.f64 (cos.f64 a) b)) |
(-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) |
(*.f64 b (sin.f64 a)) |
b |
(sin.f64 a) |
a |
(cos.f64 a) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) #s(literal -1 binary64))) |
| ✓ | accuracy | 99.8% | (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) |
| ✓ | accuracy | 99.7% | (pow.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) #s(literal -1 binary64)) |
| ✓ | accuracy | 88.9% | (/.f64 b (*.f64 a a)) |
| ✓ | accuracy | 87.6% | (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))) |
| ✓ | accuracy | 76.3% | (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a)))))) |
| ✓ | accuracy | 49.7% | (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a)))) |
| ✓ | accuracy | 100.0% | (sin.f64 b) |
| ✓ | accuracy | 99.8% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 99.6% | (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) |
| ✓ | accuracy | 76.3% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 r b) |
| ✓ | accuracy | 100.0% | (*.f64 a a) |
| ✓ | accuracy | 92.2% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
| ✓ | accuracy | 99.9% | (*.f64 (cos.f64 a) (cos.f64 b)) |
| ✓ | accuracy | 99.8% | (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) r) |
| ✓ | accuracy | 99.6% | (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 283.0ms | 220× | 1 | valid |
| 11.0ms | 35× | 0 | valid |
| 2.0ms | 1× | 5 | exit |
Compiled 343 to 48 computations (86% saved)
ival-mult: 66.0ms (26.7% of total)ival-sin: 57.0ms (23.1% of total)ival-cos: 36.0ms (14.6% of total)ival-div: 21.0ms (8.5% of total)adjust: 19.0ms (7.7% of total)ival-pow: 17.0ms (6.9% of total)ival-add: 15.0ms (6.1% of total)ival-sub: 12.0ms (4.9% of total)ival-neg: 3.0ms (1.2% of total)exact: 1.0ms (0.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) r)> |
#<alt (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))> |
#<alt (sin.f64 b)> |
#<alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))> |
#<alt (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b))> |
#<alt (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64))> |
#<alt (*.f64 a a)> |
#<alt (*.f64 r b)> |
#<alt (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))> |
#<alt (neg.f64 (*.f64 r (sin.f64 b)))> |
#<alt (*.f64 r (sin.f64 b))> |
#<alt (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))> |
#<alt (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a)))))> |
#<alt (/.f64 #s(literal 0 binary64) a)> |
#<alt (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a)))> |
#<alt (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64))> |
#<alt (pow.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) #s(literal -1 binary64))> |
#<alt (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b)> |
#<alt (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) #s(literal -1 binary64)))> |
#<alt (*.f64 (cos.f64 a) (cos.f64 b))> |
#<alt (cos.f64 (+.f64 b a))> |
#<alt (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))))> |
#<alt (/.f64 b (*.f64 a a))> |
| Outputs |
|---|
#<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 (/ (* 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 (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> |
#<alt (* b (+ 1 (* -1/6 (pow b 2))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (+ (* -1 (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 (* 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)))))> |
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#<alt (cos (* -1 b))> |
#<alt (+ (cos (* -1 b)) (* a (sin (* -1 b))))> |
#<alt (+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b))))))> |
#<alt (+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -1 b))))))> |
#<alt (cos (* -1 (* a (+ 1 (/ b a)))))> |
#<alt (cos (* -1 (* a (+ 1 (/ b a)))))> |
#<alt (cos (* -1 (* a (+ 1 (/ b a)))))> |
#<alt (cos (* -1 (* a (+ 1 (/ b a)))))> |
#<alt (cos (* -1 (* a (+ 1 (/ b a)))))> |
#<alt (cos (* -1 (* a (+ 1 (/ b a)))))> |
#<alt (cos (* -1 (* a (+ 1 (/ b a)))))> |
#<alt (cos (* -1 (* a (+ 1 (/ b a)))))> |
#<alt (cos (* -1 a))> |
#<alt (+ (cos (* -1 a)) (* b (sin (* -1 a))))> |
#<alt (+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a))))))> |
#<alt (+ (cos (* -1 a)) (* b (- (* b (+ (* -1/2 (cos (* -1 a))) (* -1/6 (* b (sin (* -1 a)))))) (* -1 (sin (* -1 a))))))> |
#<alt (cos (* -1 (* a (+ 1 (/ b a)))))> |
#<alt (cos (* -1 (* a (+ 1 (/ b a)))))> |
#<alt (cos (* -1 (* a (+ 1 (/ b a)))))> |
#<alt (cos (* -1 (* a (+ 1 (/ b a)))))> |
#<alt (cos (* a (- (* -1 (/ b a)) 1)))> |
#<alt (cos (* a (- (* -1 (/ b a)) 1)))> |
#<alt (cos (* a (- (* -1 (/ b a)) 1)))> |
#<alt (cos (* a (- (* -1 (/ b a)) 1)))> |
#<alt (/ b (pow a 2))> |
#<alt (/ b (pow a 2))> |
#<alt (/ b (pow a 2))> |
#<alt (/ b (pow a 2))> |
#<alt (/ b (pow a 2))> |
#<alt (/ b (pow a 2))> |
#<alt (/ b (pow a 2))> |
#<alt (/ b (pow a 2))> |
#<alt (/ b (pow a 2))> |
#<alt (/ b (pow a 2))> |
#<alt (/ b (pow a 2))> |
#<alt (/ b (pow a 2))> |
#<alt (/ b (pow a 2))> |
#<alt (/ b (pow a 2))> |
#<alt (/ b (pow a 2))> |
#<alt (/ b (pow a 2))> |
#<alt (/ b (pow a 2))> |
#<alt (/ b (pow a 2))> |
#<alt (/ b (pow a 2))> |
#<alt (/ b (pow a 2))> |
#<alt (/ b (pow a 2))> |
#<alt (/ b (pow a 2))> |
#<alt (/ b (pow a 2))> |
#<alt (/ b (pow a 2))> |
135 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | b | @ | -inf | (* (+ (* 1/2 (* a a)) 1) (* r b)) |
| 6.0ms | a | @ | -inf | (pow (/ (- (* b (sin a)) (cos a)) b) -1) |
| 1.0ms | r | @ | 0 | (* (pow (/ -1 r) -1) (pow (/ (- (* b (sin a)) (cos a)) b) -1)) |
| 1.0ms | r | @ | 0 | (* (+ (* 1/2 (* a a)) 1) (* r b)) |
| 1.0ms | b | @ | 0 | (* (+ (* 1/2 (* a a)) 1) (* r b)) |
| 1× | batch-egg-rewrite |
| 12 758× | lower-fma.f32 |
| 12 750× | lower-fma.f64 |
| 4 952× | lower-/.f32 |
| 4 940× | lower-/.f64 |
| 4 332× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 229 |
| 0 | 80 | 226 |
| 1 | 304 | 177 |
| 2 | 2425 | 165 |
| 0 | 9433 | 165 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) r) |
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(sin.f64 b) |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) |
(*.f64 a a) |
(*.f64 r b) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) |
(neg.f64 (*.f64 r (sin.f64 b))) |
(*.f64 r (sin.f64 b)) |
(-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a)))) |
(*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))) |
(/.f64 #s(literal 0 binary64) a) |
(fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))) |
(pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) #s(literal -1 binary64))) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 (+.f64 b a)) |
(cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a)))))) |
(/.f64 b (*.f64 a a)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 0 binary64) (cos.f64 (+.f64 b a))) (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) |
(/.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))))) |
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) (neg.f64 r)))) |
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (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)))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (neg.f64 r) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 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 #s(literal 2 binary64) b))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 b) 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) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))))) |
(*.f64 (/.f64 #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 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 #s(literal 2 binary64) b))))))) (/.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.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 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 #s(literal 2 binary64) b))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 b) (neg.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) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))))) |
(*.f64 (/.f64 #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 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 #s(literal 2 binary64) b))))))) (/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))))) |
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (neg.f64 (sin.f64 (neg.f64 b))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))))) |
(*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 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 #s(literal 2 binary64) b))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (/.f64 r (-.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 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 #s(literal 2 binary64) b))))))) (/.f64 (neg.f64 (sin.f64 (neg.f64 b))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (/.f64 (neg.f64 r) (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 (neg.f64 b)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))))) |
(*.f64 (/.f64 (neg.f64 r) (-.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 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 #s(literal 2 binary64) b))))))) (/.f64 (sin.f64 (neg.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (/.f64 (neg.f64 (neg.f64 r)) (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))))) |
(*.f64 (/.f64 (neg.f64 (neg.f64 r)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 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 #s(literal 2 binary64) b))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (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) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
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#s(literal 0 binary64) |
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(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 (/.f64 b a) b) b) a) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))) (-.f64 (/.f64 (-.f64 (*.f64 (/.f64 b a) b) b) a) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (*.f64 b b) (*.f64 a a))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a)))))) |
(*.f64 (*.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))) (-.f64 (/.f64 (-.f64 (*.f64 (/.f64 b a) b) b) a) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 (*.f64 (/.f64 b a) b) b) a) #s(literal 1 binary64)))) |
(exp.f64 (log.f64 (neg.f64 r))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 r))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 r))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (log.f64 (neg.f64 r))) #s(literal -1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) r) |
(-.f64 #s(literal 0 binary64) (/.f64 r #s(literal 1 binary64))) |
(neg.f64 r) |
(/.f64 r #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) r) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) r)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) r)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) r))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) r) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 r) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 r)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 r) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) r) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 r)))) |
(*.f64 r #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 r)) |
(*.f64 #s(literal -1 binary64) r) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 r) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 r #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (/.f64 b (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b)) #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b)) #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)))) (/.f64 b (neg.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))))) |
(/.f64 b (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) |
(/.f64 (neg.f64 b) (neg.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)))) (neg.f64 (/.f64 #s(literal 1 binary64) b))) |
(pow.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b))) |
(*.f64 b (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 b (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) b) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)))) (neg.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 b (-.f64 (pow.f64 (*.f64 b (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (fma.f64 (*.f64 b b) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (cos.f64 a) (fma.f64 b (sin.f64 a) (cos.f64 a))))) |
(*.f64 (/.f64 b (-.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (fma.f64 b (sin.f64 a) (cos.f64 a))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 b #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)))) |
(+.f64 (/.f64 (*.f64 b (sin.f64 a)) b) (neg.f64 (/.f64 (cos.f64 a) b))) |
(exp.f64 (log.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b))) |
(exp.f64 (*.f64 (log.f64 (/.f64 b (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 b (sin.f64 a)) b) (/.f64 (cos.f64 a) b)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 b (sin.f64 a)) #s(literal 3 binary64)) (fma.f64 (*.f64 b b) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (cos.f64 a) (fma.f64 b (sin.f64 a) (cos.f64 a))))) b) (/.f64 (/.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) (fma.f64 (*.f64 b b) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (cos.f64 a) (fma.f64 b (sin.f64 a) (cos.f64 a))))) b)) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (fma.f64 b (sin.f64 a) (cos.f64 a))) b) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (fma.f64 b (sin.f64 a) (cos.f64 a))) b)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b)) (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) (neg.f64 b))) |
(-.f64 (/.f64 (pow.f64 (*.f64 b (sin.f64 a)) #s(literal 3 binary64)) (*.f64 b (fma.f64 (*.f64 b b) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (cos.f64 a) (fma.f64 b (sin.f64 a) (cos.f64 a)))))) (/.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) (*.f64 b (fma.f64 (*.f64 b b) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (cos.f64 a) (fma.f64 b (sin.f64 a) (cos.f64 a))))))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 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 #s(literal 2 binary64) b))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (sin.f64 (neg.f64 b)) (*.f64 (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 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 #s(literal 2 binary64) b)))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))) (*.f64 (sin.f64 (neg.f64 b)) (*.f64 (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 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 #s(literal 2 binary64) b))))))) (neg.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))) (cos.f64 (-.f64 a b))) |
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 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 #s(literal 2 binary64) b)))))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.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 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))))) (neg.f64 (cos.f64 (-.f64 a b)))) |
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))) (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 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 #s(literal 2 binary64) b))))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (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) (neg.f64 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 #s(literal 2 binary64) b)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))) |
(cos.f64 (*.f64 a (-.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))) |
(-.f64 (*.f64 (cos.f64 (*.f64 a (/.f64 (*.f64 b b) (*.f64 a a)))) (cos.f64 (*.f64 a (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))))) (*.f64 (sin.f64 (*.f64 a (/.f64 (*.f64 b b) (*.f64 a a)))) (sin.f64 (*.f64 a (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) |
(-.f64 (*.f64 (cos.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) a)) (cos.f64 (*.f64 (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))) a))) (*.f64 (sin.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) a)) (sin.f64 (*.f64 (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))) a)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a a) b)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 b (neg.f64 a)) a)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a (neg.f64 a))) (/.f64 b (*.f64 a (neg.f64 a)))) |
(neg.f64 (/.f64 b (*.f64 a (neg.f64 a)))) |
(neg.f64 (/.f64 (neg.f64 b) (*.f64 a a))) |
(/.f64 b (*.f64 a a)) |
(/.f64 (neg.f64 b) (*.f64 a (neg.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a a) b) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b a))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 a a) b)))) |
(/.f64 (/.f64 b a) a) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a a) b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 a a) b) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (/.f64 b a)))) |
(/.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 a a)) |
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (*.f64 a (neg.f64 a)))) |
(/.f64 (neg.f64 (/.f64 b a)) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (*.f64 a (neg.f64 a))))) |
(/.f64 (neg.f64 (*.f64 b #s(literal 1 binary64))) (*.f64 a (neg.f64 a))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 b a))) (neg.f64 (neg.f64 a))) |
(pow.f64 (/.f64 (*.f64 a a) b) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 a b) a) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 a a) b) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a (/.f64 b a)) #s(literal -1 binary64)) |
(*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 a a))) |
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (*.f64 a (neg.f64 a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a a))) |
(*.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 #s(literal -1 binary64) (/.f64 b (*.f64 a (neg.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) b) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a)) |
(*.f64 (/.f64 b (neg.f64 a)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 a a))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b (neg.f64 a))) |
| 1× | egg-herbie |
| 11 028× | lower-fma.f64 |
| 11 028× | lower-fma.f32 |
| 6 220× | lower-*.f64 |
| 6 220× | lower-*.f32 |
| 4 044× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 633 | 5873 |
| 1 | 2059 | 5612 |
| 2 | 6709 | 5425 |
| 0 | 8521 | 5237 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* 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))))) |
(/ 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 |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(cos b) |
(+ (cos b) (* a (sin (neg b)))) |
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b))))))))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(* b r) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(* 1/2 (* (pow a 2) (* b r))) |
(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2)))) |
(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2)))) |
(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2)))) |
(* 1/2 (* (pow a 2) (* b r))) |
(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2)))) |
(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2)))) |
(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2)))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
1 |
(+ 1 (* 1/2 (pow a 2))) |
(+ 1 (* 1/2 (pow a 2))) |
(+ 1 (* 1/2 (pow a 2))) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
(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 (/ (* 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)))) |
(* -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)))) |
(* -1 (/ (* r (sin b)) (cos (+ a b)))) |
(* -1 (/ (* r (sin b)) (cos (+ a b)))) |
(* -1 (/ (* r (sin b)) (cos (+ a b)))) |
(* -1 (/ (* b r) (cos a))) |
(* b (+ (* -1 (/ r (cos a))) (* -1 (/ (* b (* r (sin a))) (pow (cos a) 2))))) |
(* b (+ (* -1 (/ r (cos a))) (* b (+ (* -1 (* 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))))))) |
(* b (+ (* -1 (/ r (cos a))) (* b (+ (* -1 (/ (* r (sin a)) (pow (cos a) 2))) (* b (+ (* -1 (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* 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 (/ (* 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 (* -1 b))))) |
(* -1 (/ (* r (sin b)) (cos (- a (* -1 b))))) |
(* -1 (/ (* r (sin b)) (cos (- a (* -1 b))))) |
(* -1 (/ (* r (sin b)) (cos (- a (* -1 b))))) |
(* -1 (/ (* r (sin b)) (cos b))) |
(+ (* -1 (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2))) (* -1 (/ (* r (sin b)) (cos b)))) |
(+ (* -1 (/ (* r (sin b)) (cos b))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))))) |
(+ (* -1 (/ (* r (sin b)) (cos b))) (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (+ (* -1/2 (/ (* r (sin b)) (cos b))) (* 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 (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 (- b (* -1 a))))) |
(* -1 (/ (* r (sin b)) (cos (- b (* -1 a))))) |
(* -1 (/ (* r (sin b)) (cos (- b (* -1 a))))) |
(* -1 (/ (* 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)) |
(* b (- (* 1/6 (* (pow b 2) r)) r)) |
(* b (- (* (pow b 2) (- (* -1/120 (* (pow b 2) r)) (* -1/6 r))) r)) |
(* b (- (* (pow b 2) (- (* (pow b 2) (- (* 1/5040 (* (pow b 2) r)) (* 1/120 r))) (* -1/6 r))) r)) |
(* -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))) |
(* 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 (/ b a)) 1) |
(- (* -1 (/ b a)) 1) |
(- (* -1 (/ b a)) 1) |
(* -1 (/ b a)) |
(* -1 (* b (+ (/ 1 a) (/ 1 b)))) |
(* -1 (* b (+ (/ 1 a) (/ 1 b)))) |
(* -1 (* b (+ (/ 1 a) (/ 1 b)))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (/ 1 a) (/ 1 b)))) |
(* -1 (* b (+ (/ 1 a) (/ 1 b)))) |
(* -1 (* b (+ (/ 1 a) (/ 1 b)))) |
(* -1 (/ b a)) |
(/ (- (* -1 a) b) a) |
(/ (- (* -1 a) b) a) |
(/ (- (* -1 a) b) a) |
-1 |
(- (* -1 (/ b a)) 1) |
(- (* -1 (/ b a)) 1) |
(- (* -1 (/ b a)) 1) |
-1 |
(- (* -1 (/ b a)) 1) |
(- (* -1 (/ b a)) 1) |
(- (* -1 (/ b a)) 1) |
(* -1 b) |
(+ (* -1 a) (* -1 b)) |
(+ (* -1 a) (* -1 b)) |
(+ (* -1 a) (* -1 b)) |
(* -1 a) |
(* a (- (* -1 (/ b a)) 1)) |
(* a (- (* -1 (/ b a)) 1)) |
(* a (- (* -1 (/ b a)) 1)) |
(* -1 a) |
(* -1 (* a (+ 1 (/ b a)))) |
(* -1 (* a (+ 1 (/ b a)))) |
(* -1 (* a (+ 1 (/ b a)))) |
(* -1 a) |
(+ (* -1 a) (* -1 b)) |
(+ (* -1 a) (* -1 b)) |
(+ (* -1 a) (* -1 b)) |
(* -1 b) |
(* b (- (* -1 (/ a b)) 1)) |
(* b (- (* -1 (/ a b)) 1)) |
(* b (- (* -1 (/ a b)) 1)) |
(* -1 b) |
(* -1 (* b (+ 1 (/ a b)))) |
(* -1 (* b (+ 1 (/ a b)))) |
(* -1 (* b (+ 1 (/ a b)))) |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
(+ 1 (/ b a)) |
(+ 1 (* b (+ (/ 1 a) (/ b (pow a 2))))) |
(+ 1 (* b (+ (/ 1 a) (/ b (pow a 2))))) |
(/ (pow b 2) (pow a 2)) |
(* (pow b 2) (+ (/ 1 (* a b)) (/ 1 (pow a 2)))) |
(* (pow b 2) (+ (/ 1 (* a b)) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))))) |
(* (pow b 2) (+ (/ 1 (* a b)) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))))) |
(/ (pow b 2) (pow a 2)) |
(* (pow b 2) (+ (/ 1 (* a b)) (/ 1 (pow a 2)))) |
(* (pow b 2) (+ (/ 1 (* a b)) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))))) |
(* (pow b 2) (+ (/ 1 (* a b)) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))))) |
(/ (pow b 2) (pow a 2)) |
(/ (+ (* a b) (pow b 2)) (pow a 2)) |
(/ (+ (* a (+ a b)) (pow b 2)) (pow a 2)) |
(/ (+ (* a (+ a b)) (pow b 2)) (pow a 2)) |
1 |
(+ 1 (/ b a)) |
(+ 1 (+ (/ b a) (/ (pow b 2) (pow a 2)))) |
(+ 1 (+ (/ b a) (/ (pow b 2) (pow a 2)))) |
1 |
(+ 1 (/ b a)) |
(+ 1 (* -1 (/ (+ (* -1 b) (* -1 (/ (pow b 2) a))) a))) |
(+ 1 (* -1 (/ (+ (* -1 b) (* -1 (/ (pow b 2) a))) a))) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 r) |
(* -1 (/ b (cos a))) |
(* b (- (* -1 (/ (* b (sin a)) (pow (cos a) 2))) (/ 1 (cos a)))) |
(* b (- (* b (- (* -1 (/ (* b (pow (sin a) 2)) (pow (cos a) 3))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a)))) |
(* b (- (* b (- (* b (- (* -1 (/ (* b (pow (sin a) 3)) (pow (cos a) 4))) (/ (pow (sin a) 2) (pow (cos a) 3)))) (/ (sin a) (pow (cos a) 2)))) (/ 1 (cos a)))) |
(/ 1 (sin a)) |
(+ (/ 1 (sin a)) (/ (cos a) (* b (pow (sin a) 2)))) |
(- (+ (/ 1 (sin a)) (/ (pow (cos a) 2) (* (pow b 2) (pow (sin a) 3)))) (* -1 (/ (cos a) (* b (pow (sin a) 2))))) |
(- (+ (/ 1 (sin a)) (/ (pow (cos a) 3) (* (pow b 3) (pow (sin a) 4)))) (+ (* -1 (/ (cos a) (* b (pow (sin a) 2)))) (* -1 (/ (pow (cos a) 2) (* (pow b 2) (pow (sin a) 3)))))) |
(/ 1 (sin a)) |
(+ (/ 1 (sin a)) (/ (cos a) (* b (pow (sin a) 2)))) |
(+ (* -1 (/ (- (* -1 (/ (pow (cos a) 2) (* b (pow (sin a) 3)))) (/ (cos a) (pow (sin a) 2))) b)) (/ 1 (sin a))) |
(+ (* -1 (/ (- (* -1 (/ (- (/ (pow (cos a) 3) (* b (pow (sin a) 4))) (* -1 (/ (pow (cos a) 2) (pow (sin a) 3)))) b)) (/ (cos a) (pow (sin a) 2))) b)) (/ 1 (sin a))) |
(* -1 b) |
(+ (* -1 b) (* -1 (* a (pow b 2)))) |
(+ (* -1 b) (* a (- (* -1 (* a (+ (* 1/2 b) (pow b 3)))) (pow b 2)))) |
(+ (* -1 b) (* a (- (* a (- (* -1 (* a (+ (* -1/6 (pow b 2)) (+ (* 1/2 (pow b 2)) (* b (+ (* 1/2 b) (pow b 3))))))) (+ (* 1/2 b) (pow b 3)))) (pow b 2)))) |
(/ b (- (* b (sin a)) (cos a))) |
(/ b (- (* b (sin a)) (cos a))) |
(/ b (- (* b (sin a)) (cos a))) |
(/ b (- (* b (sin a)) (cos a))) |
(/ b (- (* b (sin a)) (cos a))) |
(/ b (- (* b (sin a)) (cos a))) |
(/ b (- (* b (sin a)) (cos a))) |
(/ b (- (* b (sin a)) (cos a))) |
(* -1 (/ (cos a) b)) |
(/ (+ (* -1 (cos a)) (* b (sin a))) b) |
(/ (+ (* -1 (cos a)) (* b (sin a))) b) |
(/ (+ (* -1 (cos a)) (* b (sin a))) b) |
(sin a) |
(+ (sin a) (* -1 (/ (cos a) b))) |
(+ (sin a) (* -1 (/ (cos a) b))) |
(+ (sin a) (* -1 (/ (cos a) b))) |
(sin a) |
(+ (sin a) (* -1 (/ (cos a) b))) |
(+ (sin a) (* -1 (/ (cos a) b))) |
(+ (sin a) (* -1 (/ (cos a) b))) |
(/ -1 b) |
(- a (/ 1 b)) |
(- (* a (+ 1 (* 1/2 (/ a b)))) (/ 1 b)) |
(- (* a (+ 1 (* a (+ (* -1/6 a) (* 1/2 (/ 1 b)))))) (/ 1 b)) |
(/ (- (* b (sin a)) (cos a)) b) |
(/ (- (* b (sin a)) (cos a)) b) |
(/ (- (* b (sin a)) (cos a)) b) |
(/ (- (* b (sin a)) (cos a)) b) |
(/ (- (* b (sin a)) (cos a)) b) |
(/ (- (* b (sin a)) (cos a)) b) |
(/ (- (* b (sin a)) (cos a)) b) |
(/ (- (* b (sin a)) (cos a)) b) |
(* -1 (/ (* b r) (- (* b (sin a)) (cos a)))) |
(* -1 (/ (* b r) (- (* b (sin a)) (cos a)))) |
(* -1 (/ (* b r) (- (* b (sin a)) (cos a)))) |
(* -1 (/ (* b r) (- (* b (sin a)) (cos a)))) |
(* -1 (/ (* b r) (- (* b (sin a)) (cos a)))) |
(* -1 (/ (* b r) (- (* b (sin a)) (cos a)))) |
(* -1 (/ (* b r) (- (* b (sin a)) (cos a)))) |
(* -1 (/ (* b r) (- (* b (sin a)) (cos a)))) |
(* -1 (/ (* b r) (- (* b (sin a)) (cos a)))) |
(* -1 (/ (* b r) (- (* b (sin a)) (cos a)))) |
(* -1 (/ (* b r) (- (* b (sin a)) (cos a)))) |
(* -1 (/ (* b r) (- (* b (sin a)) (cos a)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (+ (/ (* b (* r (pow (sin a) 2))) (pow (cos a) 3)) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a)))) |
(* b (+ (* b (+ (* b (+ (/ (* b (* r (pow (sin a) 3))) (pow (cos a) 4)) (/ (* r (pow (sin a) 2)) (pow (cos a) 3)))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a)))) |
(* -1 (/ r (sin a))) |
(+ (* -1 (/ r (sin a))) (* -1 (/ (* r (cos a)) (* b (pow (sin a) 2))))) |
(+ (* -1 (/ r (sin a))) (+ (* -1 (/ (* r (cos a)) (* b (pow (sin a) 2)))) (* -1 (/ (* r (pow (cos a) 2)) (* (pow b 2) (pow (sin a) 3)))))) |
(+ (* -1 (/ r (sin a))) (+ (* -1 (/ (* r (cos a)) (* b (pow (sin a) 2)))) (+ (* -1 (/ (* r (pow (cos a) 2)) (* (pow b 2) (pow (sin a) 3)))) (* -1 (/ (* r (pow (cos a) 3)) (* (pow b 3) (pow (sin a) 4))))))) |
(* -1 (/ r (sin a))) |
(+ (* -1 (/ r (sin a))) (* -1 (/ (* r (cos a)) (* b (pow (sin a) 2))))) |
(+ (* -1 (/ r (sin a))) (* -1 (/ (- (/ (* r (pow (cos a) 2)) (* b (pow (sin a) 3))) (* -1 (/ (* r (cos a)) (pow (sin a) 2)))) b))) |
(+ (* -1 (/ r (sin a))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* r (pow (cos a) 3)) (* b (pow (sin a) 4)))) (/ (* r (pow (cos a) 2)) (pow (sin a) 3))) b)) (* -1 (/ (* r (cos a)) (pow (sin a) 2)))) b))) |
(* b r) |
(+ (* a (* (pow b 2) r)) (* b r)) |
(+ (* a (+ (* a (+ (* 1/2 (* b r)) (* (pow b 3) r))) (* (pow b 2) r))) (* b r)) |
(+ (* a (+ (* a (+ (* 1/2 (* b r)) (+ (* a (+ (* -1/6 (* (pow b 2) r)) (+ (* 1/2 (* (pow b 2) r)) (* b (+ (* 1/2 (* b r)) (* (pow b 3) r)))))) (* (pow b 3) r)))) (* (pow b 2) r))) (* b r)) |
(* -1 (/ (* b r) (- (* b (sin a)) (cos a)))) |
(* -1 (/ (* b r) (- (* b (sin a)) (cos a)))) |
(* -1 (/ (* b r) (- (* b (sin a)) (cos a)))) |
(* -1 (/ (* b r) (- (* b (sin a)) (cos a)))) |
(* -1 (/ (* b r) (- (* b (sin a)) (cos a)))) |
(* -1 (/ (* b r) (- (* b (sin a)) (cos a)))) |
(* -1 (/ (* b r) (- (* b (sin a)) (cos a)))) |
(* -1 (/ (* b r) (- (* b (sin a)) (cos a)))) |
(cos b) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(cos a) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(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 (* -1 b)) |
(+ (cos (* -1 b)) (* a (sin (* -1 b)))) |
(+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b)))))) |
(+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -1 b)))))) |
(cos (* -1 (* a (+ 1 (/ b a))))) |
(cos (* -1 (* a (+ 1 (/ b a))))) |
(cos (* -1 (* a (+ 1 (/ b a))))) |
(cos (* -1 (* a (+ 1 (/ b a))))) |
(cos (* -1 (* a (+ 1 (/ b a))))) |
(cos (* -1 (* a (+ 1 (/ b a))))) |
(cos (* -1 (* a (+ 1 (/ b a))))) |
(cos (* -1 (* a (+ 1 (/ b a))))) |
(cos (* -1 a)) |
(+ (cos (* -1 a)) (* b (sin (* -1 a)))) |
(+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a)))))) |
(+ (cos (* -1 a)) (* b (- (* b (+ (* -1/2 (cos (* -1 a))) (* -1/6 (* b (sin (* -1 a)))))) (* -1 (sin (* -1 a)))))) |
(cos (* -1 (* a (+ 1 (/ b a))))) |
(cos (* -1 (* a (+ 1 (/ b a))))) |
(cos (* -1 (* a (+ 1 (/ b a))))) |
(cos (* -1 (* a (+ 1 (/ b a))))) |
(cos (* a (- (* -1 (/ b a)) 1))) |
(cos (* a (- (* -1 (/ b a)) 1))) |
(cos (* a (- (* -1 (/ b a)) 1))) |
(cos (* a (- (* -1 (/ b a)) 1))) |
(/ b (pow a 2)) |
(/ b (pow a 2)) |
(/ b (pow a 2)) |
(/ b (pow a 2)) |
(/ b (pow a 2)) |
(/ b (pow a 2)) |
(/ b (pow a 2)) |
(/ b (pow a 2)) |
(/ b (pow a 2)) |
(/ b (pow a 2)) |
(/ b (pow a 2)) |
(/ b (pow a 2)) |
(/ b (pow a 2)) |
(/ b (pow a 2)) |
(/ b (pow a 2)) |
(/ b (pow a 2)) |
(/ b (pow a 2)) |
(/ b (pow a 2)) |
(/ b (pow a 2)) |
(/ b (pow a 2)) |
(/ b (pow a 2)) |
(/ b (pow a 2)) |
(/ b (pow a 2)) |
(/ b (pow a 2)) |
| Outputs |
|---|
(/ (* b r) (cos a)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (fma.f64 (*.f64 r (sin.f64 a)) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 b (+.f64 (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (+.f64 (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (/.f64 (sin.f64 a) (cos.f64 a)))) (neg.f64 b) (+.f64 (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 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 (* -1 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 (* -1 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 (* -1 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(+ (* -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 (-.f64 (*.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (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 (+.f64 (fma.f64 (fma.f64 r (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 b) (fma.f64 r (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b)))) (cos.f64 b))) (neg.f64 a) (*.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (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)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ 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 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b 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 (fma.f64 (neg.f64 b) (-.f64 (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 a) (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))))) (cos.f64 a))) (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b 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))))) |
(/.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 b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+ (* -1 (/ (* a (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (/ (sin b) (cos b))) |
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1 |
#s(literal 1 binary64) |
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(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 a (sin.f64 (neg.f64 b)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (cos.f64 b) (*.f64 #s(literal 1/6 binary64) (*.f64 a (sin.f64 b)))) (sin.f64 (neg.f64 b))) (cos.f64 b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (* -1 b)) |
(cos.f64 b) |
(+ (cos (* -1 b)) (* a (sin (* -1 b)))) |
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))) |
(+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b)))))) |
(fma.f64 a (sin.f64 (neg.f64 b)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b))) |
(+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -1 b)))))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/6 binary64) (neg.f64 (*.f64 a (sin.f64 b))) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 (neg.f64 b))) (cos.f64 b)) |
(cos (* -1 (* a (+ 1 (/ b a))))) |
(cos.f64 (fma.f64 a (/.f64 b a) a)) |
(cos (* -1 (* a (+ 1 (/ b a))))) |
(cos.f64 (fma.f64 a (/.f64 b a) a)) |
(cos (* -1 (* a (+ 1 (/ b a))))) |
(cos.f64 (fma.f64 a (/.f64 b a) a)) |
(cos (* -1 (* a (+ 1 (/ b a))))) |
(cos.f64 (fma.f64 a (/.f64 b a) a)) |
(cos (* -1 (* a (+ 1 (/ b a))))) |
(cos.f64 (fma.f64 a (/.f64 b a) a)) |
(cos (* -1 (* a (+ 1 (/ b a))))) |
(cos.f64 (fma.f64 a (/.f64 b a) a)) |
(cos (* -1 (* a (+ 1 (/ b a))))) |
(cos.f64 (fma.f64 a (/.f64 b a) a)) |
(cos (* -1 (* a (+ 1 (/ b a))))) |
(cos.f64 (fma.f64 a (/.f64 b a) a)) |
(cos (* -1 a)) |
(cos.f64 a) |
(+ (cos (* -1 a)) (* b (sin (* -1 a)))) |
(fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a)) |
(+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a)))))) |
(fma.f64 b (sin.f64 (neg.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))) |
(+ (cos (* -1 a)) (* b (- (* b (+ (* -1/2 (cos (* -1 a))) (* -1/6 (* b (sin (* -1 a)))))) (* -1 (sin (* -1 a)))))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 a) (neg.f64 b)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 (neg.f64 a))) (cos.f64 a)) |
(cos (* -1 (* a (+ 1 (/ b a))))) |
(cos.f64 (fma.f64 a (/.f64 b a) a)) |
(cos (* -1 (* a (+ 1 (/ b a))))) |
(cos.f64 (fma.f64 a (/.f64 b a) a)) |
(cos (* -1 (* a (+ 1 (/ b a))))) |
(cos.f64 (fma.f64 a (/.f64 b a) a)) |
(cos (* -1 (* a (+ 1 (/ b a))))) |
(cos.f64 (fma.f64 a (/.f64 b a) a)) |
(cos (* a (- (* -1 (/ b a)) 1))) |
(cos.f64 (fma.f64 a (/.f64 b a) a)) |
(cos (* a (- (* -1 (/ b a)) 1))) |
(cos.f64 (fma.f64 a (/.f64 b a) a)) |
(cos (* a (- (* -1 (/ b a)) 1))) |
(cos.f64 (fma.f64 a (/.f64 b a) a)) |
(cos (* a (- (* -1 (/ b a)) 1))) |
(cos.f64 (fma.f64 a (/.f64 b a) a)) |
(/ b (pow a 2)) |
(/.f64 b (*.f64 a a)) |
(/ b (pow a 2)) |
(/.f64 b (*.f64 a a)) |
(/ b (pow a 2)) |
(/.f64 b (*.f64 a a)) |
(/ b (pow a 2)) |
(/.f64 b (*.f64 a a)) |
(/ b (pow a 2)) |
(/.f64 b (*.f64 a a)) |
(/ b (pow a 2)) |
(/.f64 b (*.f64 a a)) |
(/ b (pow a 2)) |
(/.f64 b (*.f64 a a)) |
(/ b (pow a 2)) |
(/.f64 b (*.f64 a a)) |
(/ b (pow a 2)) |
(/.f64 b (*.f64 a a)) |
(/ b (pow a 2)) |
(/.f64 b (*.f64 a a)) |
(/ b (pow a 2)) |
(/.f64 b (*.f64 a a)) |
(/ b (pow a 2)) |
(/.f64 b (*.f64 a a)) |
(/ b (pow a 2)) |
(/.f64 b (*.f64 a a)) |
(/ b (pow a 2)) |
(/.f64 b (*.f64 a a)) |
(/ b (pow a 2)) |
(/.f64 b (*.f64 a a)) |
(/ b (pow a 2)) |
(/.f64 b (*.f64 a a)) |
(/ b (pow a 2)) |
(/.f64 b (*.f64 a a)) |
(/ b (pow a 2)) |
(/.f64 b (*.f64 a a)) |
(/ b (pow a 2)) |
(/.f64 b (*.f64 a a)) |
(/ b (pow a 2)) |
(/.f64 b (*.f64 a a)) |
(/ b (pow a 2)) |
(/.f64 b (*.f64 a a)) |
(/ b (pow a 2)) |
(/.f64 b (*.f64 a a)) |
(/ b (pow a 2)) |
(/.f64 b (*.f64 a a)) |
(/ b (pow a 2)) |
(/.f64 b (*.f64 a a)) |
Compiled 49 565 to 4 436 computations (91.1% saved)
98 alts after pruning (92 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 557 | 43 | 1 600 |
| Fresh | 15 | 49 | 64 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 4 | 5 |
| Total | 1 576 | 98 | 1 674 |
| Status | Accuracy | Program |
|---|---|---|
| 31.7% | (pow.f64 (pow.f64 (/.f64 (neg.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) (*.f64 b r)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 22.8% | (pow.f64 (exp.f64 (log.f64 (/.f64 (neg.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) (*.f64 b r)))) #s(literal -1 binary64)) | |
| 54.0% | (/.f64 (/.f64 b (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) (/.f64 #s(literal -1 binary64) r)) | |
| 50.4% | (/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))) | |
| 50.2% | (/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) | |
| ✓ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 63.3% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))) | |
| 99.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) | |
| 84.5% | (/.f64 (*.f64 r (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 a) (cos.f64 b))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))))) | |
| 98.6% | (/.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) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| 75.8% | (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) | |
| 42.5% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (/.f64 (-.f64 (neg.f64 b) a) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (-.f64 b a))))))) | |
| 30.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 a)))) | |
| 25.5% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (-.f64 a b)) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b)))))) | |
| 72.0% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))) | |
| 23.2% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 b (*.f64 a a))) (/.f64 b a)) (/.f64 b (/.f64 b a)) (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) | |
| 11.7% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) b) (*.f64 b b)) (/.f64 (/.f64 b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) | |
| 22.3% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 b (*.f64 a a)) (/.f64 b (*.f64 a a))) (/.f64 b a)) (/.f64 (*.f64 b b) (/.f64 b a)) (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) | |
| 15.2% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 b (*.f64 a a)) (/.f64 b (*.f64 a a))) b) (/.f64 (*.f64 b b) (/.f64 b (*.f64 a a))) (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) | |
| 12.7% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (fma.f64 (/.f64 (*.f64 b b) (*.f64 (/.f64 b a) b)) (/.f64 (*.f64 (/.f64 b (*.f64 a a)) (/.f64 b (*.f64 a a))) (/.f64 #s(literal 1 binary64) a)) (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) | |
| 37.6% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (fma.f64 (/.f64 b (*.f64 a a)) b (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) | |
| 37.2% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (fma.f64 (/.f64 b a) (/.f64 b a) (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) | |
| 37.1% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (/.f64 a b)) (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) | |
| 32.2% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) (*.f64 a (*.f64 a a))) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a))) (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))))) | |
| 38.8% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 (/.f64 b a) (/.f64 b a) (+.f64 #s(literal 1 binary64) (/.f64 b a))))))) | |
| 38.3% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (/.f64 a b)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))))) | |
| 36.0% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (/.f64 (+.f64 (pow.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 b a)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 b a)) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 b a)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 b a)) #s(literal 1 binary64))))))))) | |
| 24.0% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 b b) (*.f64 a a)))))) | |
| 36.9% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (+.f64 #s(literal 1 binary64) (/.f64 b a)))))) | |
| 37.2% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) #s(literal 1 binary64))))) | |
| 24.1% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64))))) | |
| 62.5% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) | |
| 55.1% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) | |
| 35.9% | (/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 35.8% | (/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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))) | |
| 36.1% | (/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 50.5% | (/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) | |
| ✓ | 50.6% | (/.f64 (*.f64 r b) (cos.f64 a)) |
| 53.4% | (/.f64 (*.f64 b (neg.f64 r)) (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) | |
| 75.7% | (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) | |
| 75.7% | (/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal -1 binary64) r)) | |
| 18.4% | (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 b)) | |
| 18.8% | (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 a)) | |
| 54.0% | (/.f64 (neg.f64 r) (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b)) | |
| 75.8% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 75.4% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) r) (*.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) #s(literal 1 binary64)))) | |
| 17.1% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) (neg.f64 r)))) | |
| ✓ | 31.7% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
| 40.5% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 70.6% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 (neg.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 (neg.f64 b))) (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 (neg.f64 b))) (fma.f64 (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (sin.f64 b)) (*.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 (neg.f64 b))) (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (sin.f64 b)))))) #s(literal -1 binary64))) | |
| 99.3% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 (neg.f64 b))) (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (sin.f64 b))) #s(literal -1 binary64))) | |
| 6.7% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 a))) | |
| 62.4% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 b) (cos.f64 b)))) | |
| 17.4% | (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 b) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) | |
| 75.7% | (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 (sin.f64 b) #s(literal -1 binary64))) | |
| 53.7% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 b #s(literal -1 binary64))) | |
| 53.3% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal -1 binary64) r))) | |
| ✓ | 99.5% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) r) |
| 56.4% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) r) | |
| 75.5% | (*.f64 (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.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 a a)))))) (cos.f64 (-.f64 a b)))) r) | |
| 98.6% | (*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 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 #s(literal 2 binary64) b))))))))) r) | |
| 62.5% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) | |
| 55.2% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) | |
| 50.7% | (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (*.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 b))))))) | |
| ✓ | 99.5% | (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
| 63.3% | (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))) (sin.f64 b)) | |
| 56.5% | (*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) (sin.f64 b)) | |
| 98.6% | (*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))))) (sin.f64 b)) | |
| 53.3% | (*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)))) | |
| 75.7% | (*.f64 (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) | |
| 99.5% | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) | |
| 53.6% | (*.f64 (/.f64 r (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) b))) | |
| 62.5% | (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) | |
| 55.2% | (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) | |
| 54.1% | (*.f64 (/.f64 b (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) (neg.f64 r)) | |
| 50.6% | (*.f64 (/.f64 b (cos.f64 a)) r) | |
| 75.8% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) r) | |
| 75.5% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) | |
| 98.6% | (*.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 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 #s(literal 2 binary64) b))))))) (/.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) | |
| 17.1% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))) | |
| 75.7% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) | |
| 17.1% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) (neg.f64 r))) | |
| 75.8% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) | |
| 53.6% | (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)))) | |
| 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 #s(literal 2 binary64) (neg.f64 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 #s(literal 2 binary64) b))))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) r) | |
| 75.8% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r) | |
| 11.9% | (*.f64 (*.f64 b r) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) | |
| 17.1% | (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) | |
| 18.4% | (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 b))) | |
| 49.5% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) | |
| 34.9% | (*.f64 r (fma.f64 b (*.f64 b a) b)) | |
| ✓ | 36.8% | (*.f64 r b) |
| 50.6% | (*.f64 b (/.f64 r (cos.f64 a))) | |
| 53.7% | (*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b)) #s(literal -1 binary64))) | |
| 6.7% | (neg.f64 (/.f64 r (sin.f64 a))) | |
| 15.4% | (neg.f64 (*.f64 b (/.f64 r (cos.f64 a)))) | |
| 22.8% | (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) (*.f64 b r))) #s(literal -1 binary64))) | |
| 9.6% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) (neg.f64 r)))) #s(literal -1 binary64))) |
Compiled 5 614 to 1 956 computations (65.2% saved)
| Inputs |
|---|
(*.f64 r b) |
(*.f64 r (fma.f64 b (*.f64 b a) b)) |
(*.f64 (*.f64 b r) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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))) |
(neg.f64 (/.f64 r (sin.f64 a))) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(neg.f64 (*.f64 b (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) |
(/.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 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 b))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 a)) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(*.f64 (*.f64 (/.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 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) (neg.f64 r))) |
(*.f64 (/.f64 b (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) (neg.f64 r)) |
(/.f64 (*.f64 b (neg.f64 r)) (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b)) |
(*.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 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) (neg.f64 r)))) |
(/.f64 (neg.f64 r) (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b)) |
(/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (-.f64 a b))))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (-.f64 b a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))) |
(/.f64 (/.f64 b (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) r) (*.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 b #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (-.f64 a b)) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (+.f64 #s(literal 1 binary64) (/.f64 b a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 b b) (*.f64 a a)))))) |
(*.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))) (fma.f64 b (+.f64 b a) (*.f64 a a))))) (sin.f64 b)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal -1 binary64) r))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (fma.f64 (/.f64 b (*.f64 a a)) b (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (fma.f64 (/.f64 b a) (/.f64 b a) (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (/.f64 a b)) (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (/.f64 (-.f64 (neg.f64 b) a) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (-.f64 b a))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 (/.f64 b a) (/.f64 b a) (+.f64 #s(literal 1 binary64) (/.f64 b a))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (/.f64 a b)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r b))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 r) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
(/.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 (sin.f64 b) a))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 b) (cos.f64 b)))) |
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(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) |
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(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))) (sin.f64 b)) |
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(/.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))) |
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(pow.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 r r))) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) |
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(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (pow.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r))) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (/.f64 (+.f64 (pow.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 b a)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 b a)) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 b a)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 b a)) #s(literal 1 binary64))))))))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (neg.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) (*.f64 b r)))) #s(literal -1 binary64)) |
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(/.f64 (*.f64 r (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 a) (cos.f64 b)))))) |
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(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 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 #s(literal 2 binary64) b))))))))) r) |
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(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal -1 binary64) (sin.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.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 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (*.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 (neg.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 (neg.f64 b))) (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 (neg.f64 b))) (fma.f64 (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (sin.f64 b)) (*.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 (neg.f64 b))) (/.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (sin.f64 b)))))) #s(literal -1 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
4 calls:
| 45.0ms | b |
| 44.0ms | a |
| 43.0ms | r |
| 41.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | r |
| 99.5% | 1 | a |
| 99.5% | 1 | b |
| 99.5% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 r b) |
(*.f64 r (fma.f64 b (*.f64 b a) b)) |
(*.f64 (*.f64 b r) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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))) |
(neg.f64 (/.f64 r (sin.f64 a))) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(neg.f64 (*.f64 b (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) |
(/.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 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 b))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 a)) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(*.f64 (*.f64 (/.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 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) (neg.f64 r))) |
(*.f64 (/.f64 b (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) (neg.f64 r)) |
(/.f64 (*.f64 b (neg.f64 r)) (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b)) |
(*.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 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) (neg.f64 r)))) |
(/.f64 (neg.f64 r) (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b)) |
(/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (-.f64 a b))))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (-.f64 b a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))) |
(/.f64 (/.f64 b (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) r) (*.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 b #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (-.f64 a b)) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (+.f64 #s(literal 1 binary64) (/.f64 b a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 b b) (*.f64 a a)))))) |
(*.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))) (fma.f64 b (+.f64 b a) (*.f64 a a))))) (sin.f64 b)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal -1 binary64) r))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (fma.f64 (/.f64 b (*.f64 a a)) b (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (fma.f64 (/.f64 b a) (/.f64 b a) (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (/.f64 a b)) (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (/.f64 (-.f64 (neg.f64 b) a) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (-.f64 b a))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 (/.f64 b a) (/.f64 b a) (+.f64 #s(literal 1 binary64) (/.f64 b a))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (/.f64 a b)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r b))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 r) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
(/.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 (sin.f64 b) a))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 b) (cos.f64 b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 r (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (neg.f64 (/.f64 (cos.f64 a) b)) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) (*.f64 a (*.f64 a a))) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a))) (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 (sin.f64 b) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b)) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 b (*.f64 a a)) (/.f64 b (*.f64 a a))) b) (/.f64 (*.f64 b b) (/.f64 b (*.f64 a a))) (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (sin.f64 b) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) b) (*.f64 b b)) (/.f64 (/.f64 b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 b (*.f64 a a)) (/.f64 b (*.f64 a a))) (/.f64 b a)) (/.f64 (*.f64 b b) (/.f64 b a)) (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 b (*.f64 a a))) (/.f64 b a)) (/.f64 b (/.f64 b a)) (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (fma.f64 (/.f64 (*.f64 b b) (*.f64 (/.f64 b a) b)) (/.f64 (*.f64 (/.f64 b (*.f64 a a)) (/.f64 b (*.f64 a a))) (/.f64 #s(literal 1 binary64) a)) (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (-.f64 a b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 a b) (-.f64 a b)) (*.f64 #s(literal 0 binary64) (neg.f64 (-.f64 a b))))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) 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))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) (neg.f64 r)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 r r) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (/.f64 (neg.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) (*.f64 b r)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) (*.f64 b r))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 r r))) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 a) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 b) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (pow.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r))) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (/.f64 (+.f64 (pow.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 b a)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 b a)) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 b a)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 b a)) #s(literal 1 binary64))))))))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (neg.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) (*.f64 b r)))) #s(literal -1 binary64)) |
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
| Outputs |
|---|
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
4 calls:
| 37.0ms | b |
| 36.0ms | r |
| 35.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 34.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | a |
| 99.5% | 1 | r |
| 99.5% | 1 | b |
| 99.5% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 r b) |
(*.f64 r (fma.f64 b (*.f64 b a) b)) |
(*.f64 (*.f64 b r) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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))) |
(neg.f64 (/.f64 r (sin.f64 a))) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(neg.f64 (*.f64 b (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) |
(/.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 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 b))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 a)) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(*.f64 (*.f64 (/.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 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) (neg.f64 r))) |
(*.f64 (/.f64 b (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) (neg.f64 r)) |
(/.f64 (*.f64 b (neg.f64 r)) (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b)) |
(*.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 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) (neg.f64 r)))) |
(/.f64 (neg.f64 r) (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b)) |
(/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (-.f64 a b))))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (-.f64 b a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))) |
(/.f64 (/.f64 b (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) r) (*.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) r)) (/.f64 b #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (-.f64 a b)) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (+.f64 #s(literal 1 binary64) (/.f64 b a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 b b) (*.f64 a a)))))) |
(*.f64 (/.f64 r (cos.f64 (*.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))) (fma.f64 b (+.f64 b a) (*.f64 a a))))) (sin.f64 b)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal -1 binary64) r))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (-.f64 a b)) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (neg.f64 (-.f64 a b)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (fma.f64 (/.f64 b (*.f64 a a)) b (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (fma.f64 (/.f64 b a) (/.f64 b a) (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (/.f64 a b)) (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (/.f64 (-.f64 (neg.f64 b) a) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (-.f64 b a))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 (/.f64 b a) (/.f64 b a) (+.f64 #s(literal 1 binary64) (/.f64 b a))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (/.f64 a b)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) (*.f64 r b))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 r) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
(/.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 (sin.f64 b) a))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 b) (cos.f64 b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 r (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (neg.f64 (/.f64 (cos.f64 a) b)) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) (*.f64 a (*.f64 a a))) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a))) (fma.f64 b (/.f64 b (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) (/.f64 (sin.f64 b) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b)) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 b (*.f64 a a)) (/.f64 b (*.f64 a a))) b) (/.f64 (*.f64 b b) (/.f64 b (*.f64 a a))) (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (sin.f64 b) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) b) (*.f64 b b)) (/.f64 (/.f64 b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 b (*.f64 a a)) (/.f64 b (*.f64 a a))) (/.f64 b a)) (/.f64 (*.f64 b b) (/.f64 b a)) (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 b (*.f64 a a))) (/.f64 b a)) (/.f64 b (/.f64 b a)) (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (fma.f64 (/.f64 (*.f64 b b) (*.f64 (/.f64 b a) b)) (/.f64 (*.f64 (/.f64 b (*.f64 a a)) (/.f64 b (*.f64 a a))) (/.f64 #s(literal 1 binary64) a)) (neg.f64 (+.f64 (/.f64 b a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (-.f64 a b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 a b) (-.f64 a b)) (*.f64 #s(literal 0 binary64) (neg.f64 (-.f64 a b))))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) 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))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) (neg.f64 r)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 r r) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (/.f64 (neg.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) (*.f64 b r)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) (*.f64 b r))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 r r))) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 a) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 b) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (pow.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 #s(literal -1 binary64) r))) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (/.f64 (+.f64 (pow.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 b a)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 b a)) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 b a)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 b a)) #s(literal 1 binary64))))))))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (neg.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) (*.f64 b r)))) #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (-.f64 a b))))) (sin.f64 b)) |
4 calls:
| 39.0ms | a |
| 36.0ms | r |
| 35.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 33.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.9% | 1 | r |
| 75.9% | 1 | a |
| 75.9% | 1 | b |
| 75.9% | 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 r (fma.f64 b (*.f64 b a) b)) |
(*.f64 (*.f64 b r) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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))) |
(neg.f64 (/.f64 r (sin.f64 a))) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(neg.f64 (*.f64 b (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) |
(/.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 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 b))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 a)) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(*.f64 (*.f64 (/.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 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) (neg.f64 r))) |
(*.f64 (/.f64 b (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) (neg.f64 r)) |
(/.f64 (*.f64 b (neg.f64 r)) (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) (sin.f64 b)) |
(*.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 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) (neg.f64 r)))) |
(/.f64 (neg.f64 r) (/.f64 (-.f64 (*.f64 b (sin.f64 a)) (cos.f64 a)) b)) |
(/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal -1 binary64) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
4 calls:
| 15.0ms | r |
| 15.0ms | a |
| 15.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 15.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.9% | 1 | r |
| 75.9% | 1 | b |
| 75.9% | 1 | a |
| 75.9% | 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 r (fma.f64 b (*.f64 b a) b)) |
(*.f64 (*.f64 b r) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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))) |
(neg.f64 (/.f64 r (sin.f64 a))) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(neg.f64 (*.f64 b (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) |
(/.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 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 b))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 a)) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
4 calls:
| 9.0ms | a |
| 9.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 8.0ms | r |
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.9% | 1 | r |
| 75.9% | 1 | a |
| 75.9% | 1 | b |
| 75.9% | 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 r (fma.f64 b (*.f64 b a) b)) |
(*.f64 (*.f64 b r) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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))) |
(neg.f64 (/.f64 r (sin.f64 a))) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(neg.f64 (*.f64 b (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) |
(/.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 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 b))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 a)) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 b)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
4 calls:
| 9.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 9.0ms | a |
| 9.0ms | r |
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.5% | 1 | r |
| 76.3% | 3 | b |
| 62.5% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 76.0% | 3 | a |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 r b) |
(*.f64 r (fma.f64 b (*.f64 b a) b)) |
(*.f64 (*.f64 b r) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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))) |
(neg.f64 (/.f64 r (sin.f64 a))) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(neg.f64 (*.f64 b (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) |
(/.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 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) |
1 calls:
| 7.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.3% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(*.f64 r (fma.f64 b (*.f64 b a) b)) |
(*.f64 (*.f64 b r) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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))) |
(neg.f64 (/.f64 r (sin.f64 a))) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(neg.f64 (*.f64 b (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) |
(/.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 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) |
1 calls:
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.3% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(*.f64 r (fma.f64 b (*.f64 b a) b)) |
(*.f64 (*.f64 b r) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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))) |
(neg.f64 (/.f64 r (sin.f64 a))) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(neg.f64 (*.f64 b (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) |
(/.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 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
4 calls:
| 12.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 7.0ms | a |
| 6.0ms | r |
| 6.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.2% | 1 | r |
| 55.2% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 55.2% | 1 | a |
| 55.2% | 1 | b |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 r b) |
(*.f64 r (fma.f64 b (*.f64 b a) b)) |
(*.f64 (*.f64 b r) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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))) |
(neg.f64 (/.f64 r (sin.f64 a))) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(neg.f64 (*.f64 b (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) |
(/.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 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r)) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))) |
| Outputs |
|---|
(neg.f64 (/.f64 r (sin.f64 a))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) |
(neg.f64 (/.f64 r (sin.f64 a))) |
4 calls:
| 7.0ms | r |
| 7.0ms | a |
| 6.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 6.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.6% | 1 | r |
| 53.9% | 3 | b |
| 50.6% | 1 | a |
| 50.6% | 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 r (fma.f64 b (*.f64 b a) b)) |
(*.f64 (*.f64 b r) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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))) |
(neg.f64 (/.f64 r (sin.f64 a))) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 b (cos.f64 a)) r) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(neg.f64 (*.f64 b (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
| Outputs |
|---|
(*.f64 b (/.f64 r (cos.f64 a))) |
(neg.f64 (/.f64 r (sin.f64 a))) |
1 calls:
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.3% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(*.f64 r (fma.f64 b (*.f64 b a) b)) |
(*.f64 (*.f64 b r) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 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))) |
(neg.f64 (/.f64 r (sin.f64 a))) |
| Outputs |
|---|
(*.f64 r b) |
(neg.f64 (/.f64 r (sin.f64 a))) |
4 calls:
| 4.0ms | a |
| 3.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 3.0ms | b |
| 3.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.8% | 1 | r |
| 36.8% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 36.8% | 1 | a |
| 38.5% | 2 | b |
Compiled 24 to 17 computations (29.2% saved)
Total -16.4b remaining (-40.6%)
Threshold costs -16.4b (-40.6%)
| Inputs |
|---|
(*.f64 r b) |
(*.f64 r (fma.f64 b (*.f64 b a) b)) |
(*.f64 (*.f64 b r) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 r b) |
1 calls:
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.8% | 1 | b |
Compiled 4 to 3 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 2.4128929567599702e-42 | 2.2547666774753826e-36 |
| 21.0ms | -0.0005037184052497454 | -8.836055931709006e-10 |
| 18.0ms | 132× | 1 | valid |
| 10.0ms | 156× | 0 | valid |
Compiled 393 to 284 computations (27.7% saved)
ival-cos: 6.0ms (33.5% of total)ival-sin: 3.0ms (16.8% of total)ival-mult: 3.0ms (16.8% of total)ival-add: 2.0ms (11.2% of total)ival-div: 2.0ms (11.2% of total)adjust: 2.0ms (11.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.4128929567599702e-42 | 2.2547666774753826e-36 |
| 1.0ms | -0.0005037184052497454 | -8.836055931709006e-10 |
Compiled 393 to 284 computations (27.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 2.4128929567599702e-42 | 2.2547666774753826e-36 |
| 5.0ms | -0.0005037184052497454 | -8.836055931709006e-10 |
| 2.0ms | 16× | 1 | valid |
| 1.0ms | 16× | 0 | valid |
Compiled 393 to 284 computations (27.7% saved)
ival-cos: 1.0ms (47.5% of total)ival-add: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-sin: 0.0ms (0% 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 |
|---|---|---|
| 23.0ms | 54502065122.70702 | 90228795597933.78 |
| 22.0ms | -19580884528.643574 | -1537343.2186223594 |
| 21.0ms | 132× | 1 | valid |
| 13.0ms | 124× | 0 | valid |
Compiled 463 to 318 computations (31.3% saved)
ival-sin: 10.0ms (38.2% of total)ival-cos: 9.0ms (34.4% of total)ival-add: 2.0ms (7.6% of total)ival-div: 2.0ms (7.6% of total)adjust: 2.0ms (7.6% of total)ival-mult: 2.0ms (7.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 347832413.8961864 | 54502065122.70702 |
| 8.0ms | 41× | 1 | valid |
| 7.0ms | 71× | 0 | valid |
Compiled 148 to 112 computations (24.3% saved)
ival-sin: 5.0ms (41.1% of total)ival-cos: 3.0ms (24.7% of total)ival-div: 2.0ms (16.5% of total)ival-add: 1.0ms (8.2% of total)adjust: 1.0ms (8.2% of total)ival-mult: 1.0ms (8.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 347832413.8961864 | 54502065122.70702 |
| 1.0ms | 8× | 1 | valid |
| 1.0ms | 8× | 0 | valid |
Compiled 127 to 98 computations (22.8% saved)
ival-sin: 1.0ms (67.1% of total)ival-cos: 1.0ms (67.1% of total)ival-add: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 44× | *-commutative_binary64 |
| 18× | +-commutative_binary64 |
| 16× | sub-neg_binary64 |
| 12× | neg-sub0_binary64 |
| 12× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 221 |
| 1 | 103 | 221 |
| 2 | 121 | 221 |
| 3 | 131 | 221 |
| 4 | 135 | 221 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (-.f64 a b))))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(if (<=.f64 b #s(literal -3984496719921263/147573952589676412928 binary64)) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (if (<=.f64 b #s(literal 1646235444289529/748288838313422294120286634350736906063837462003712 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))) |
(if (<=.f64 b #s(literal -3984496719921263/147573952589676412928 binary64)) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (if (<=.f64 b #s(literal 1646235444289529/748288838313422294120286634350736906063837462003712 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))) |
(if (<=.f64 b #s(literal -7378697629483821/295147905179352825856 binary64)) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (if (<=.f64 b #s(literal 1646235444289529/748288838313422294120286634350736906063837462003712 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(if (<=.f64 b #s(literal -5000000 binary64)) (neg.f64 (/.f64 r (sin.f64 a))) (if (<=.f64 b #s(literal 55000000000 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (neg.f64 (/.f64 r (sin.f64 a))))) |
(if (<=.f64 b #s(literal 4600000000 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (neg.f64 (/.f64 r (sin.f64 a)))) |
(if (<=.f64 b #s(literal 4200000000 binary64)) (*.f64 r b) (neg.f64 (/.f64 r (sin.f64 a)))) |
(*.f64 r b) |
| Outputs |
|---|
(*.f64 (/.f64 r (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b)) |
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (sin.f64 b) (/.f64 r (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) |
(*.f64 (/.f64 r (cos.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (-.f64 a b))))) (sin.f64 b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (*.f64 (-.f64 a b) (/.f64 (+.f64 b a) (-.f64 a b)))))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(if (<=.f64 b #s(literal -3984496719921263/147573952589676412928 binary64)) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (if (<=.f64 b #s(literal 1646235444289529/748288838313422294120286634350736906063837462003712 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))) |
(if (<=.f64 b #s(literal -3984496719921263/147573952589676412928 binary64)) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (if (<=.f64 b #s(literal 1646235444289529/748288838313422294120286634350736906063837462003712 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))) |
(if (<=.f64 b #s(literal -3984496719921263/147573952589676412928 binary64)) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (if (<=.f64 b #s(literal 1646235444289529/748288838313422294120286634350736906063837462003712 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))) |
(if (<=.f64 b #s(literal -3984496719921263/147573952589676412928 binary64)) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (if (<=.f64 b #s(literal 1646235444289529/748288838313422294120286634350736906063837462003712 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))) |
(if (<=.f64 b #s(literal -7378697629483821/295147905179352825856 binary64)) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (if (<=.f64 b #s(literal 1646235444289529/748288838313422294120286634350736906063837462003712 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))) |
(if (<=.f64 b #s(literal -7378697629483821/295147905179352825856 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (if (<=.f64 b #s(literal 1646235444289529/748288838313422294120286634350736906063837462003712 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) |
(if (<=.f64 b #s(literal -5000000 binary64)) (neg.f64 (/.f64 r (sin.f64 a))) (if (<=.f64 b #s(literal 55000000000 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (neg.f64 (/.f64 r (sin.f64 a))))) |
(if (<=.f64 b #s(literal 4600000000 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (neg.f64 (/.f64 r (sin.f64 a)))) |
(if (<=.f64 b #s(literal 4200000000 binary64)) (*.f64 r b) (neg.f64 (/.f64 r (sin.f64 a)))) |
(*.f64 r b) |
| 11 028× | lower-fma.f64 |
| 11 028× | lower-fma.f32 |
| 10 934× | lower-fma.f64 |
| 10 934× | lower-fma.f32 |
| 9 488× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 960 |
| 1 | 517 | 928 |
| 2 | 1595 | 886 |
| 3 | 5409 | 885 |
| 0 | 8292 | 853 |
| 0 | 633 | 5873 |
| 1 | 2059 | 5612 |
| 2 | 6709 | 5425 |
| 0 | 8521 | 5237 |
| 0 | 741 | 6620 |
| 1 | 2393 | 6109 |
| 0 | 8351 | 5881 |
| 0 | 836 | 7313 |
| 1 | 2714 | 6823 |
| 0 | 8739 | 6546 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 44 | 19 |
| 2 | 234 | 19 |
| 3 | 2050 | 19 |
| 0 | 8441 | 19 |
| 0 | 31 | 160 |
| 0 | 59 | 170 |
| 1 | 197 | 108 |
| 2 | 1356 | 108 |
| 0 | 8491 | 108 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 755 to 406 computations (46.2% saved)
(negabs r)
Compiled 700 to 312 computations (55.4% saved)
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