
Time bar (total: 16.6s)
| 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)
| 1.2s | 5 766× | 1 | valid |
| 175.0ms | 2 490× | 0 | valid |
ival-sin: 346.0ms (33.2% of total)ival-cos: 251.0ms (24.1% of total)ival-add: 145.0ms (13.9% of total)adjust: 104.0ms (10% of total)ival-div: 93.0ms (8.9% of total)ival-mult: 92.0ms (8.8% of total)ival-true: 7.0ms (0.7% of total)ival-assert: 3.0ms (0.3% of total)| 1× | egg-herbie |
| 654× | times-frac |
| 520× | associate-*r* |
| 518× | unsub-neg |
| 466× | distribute-rgt-in |
| 464× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 88 |
| 1 | 89 | 84 |
| 2 | 178 | 84 |
| 3 | 431 | 84 |
| 4 | 1079 | 84 |
| 5 | 2510 | 84 |
| 6 | 3268 | 84 |
| 7 | 3664 | 84 |
| 8 | 4244 | 84 |
| 9 | 4620 | 84 |
| 10 | 4632 | 84 |
| 11 | 4636 | 84 |
| 12 | 4636 | 84 |
| 13 | 4676 | 84 |
| 14 | 4692 | 84 |
| 15 | 4692 | 84 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 17 | 9 |
| 2 | 19 | 9 |
| 3 | 21 | 9 |
| 4 | 22 | 9 |
| 0 | 22 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(negabs r)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 63 | 126 | (2.742036247983564e+23 2.0906386056726476e+133 -2.4347760472003595e-298) | 0 | - | (cos.f64 (+.f64 a b)) |
| 0 | 0 | - | 0 | - | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 0 | 0 | - | 0 | - | (+.f64 a b) |
| 0 | 0 | - | 0 | - | (sin.f64 b) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | r |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
cos.f64 | (cos.f64 (+.f64 a b)) | sensitivity | 189 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 63 | 0 |
| - | 126 | 67 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 63 | 0 | 0 |
| - | 126 | 0 | 67 |
| number | freq |
|---|---|
| 0 | 67 |
| 1 | 189 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 64.0ms | 352× | 1 | valid |
| 14.0ms | 160× | 0 | valid |
Compiled 84 to 36 computations (57.1% saved)
ival-cos: 16.0ms (32.9% of total)ival-sin: 12.0ms (24.6% of total)adjust: 6.0ms (12.3% of total)ival-add: 5.0ms (10.3% of total)ival-mult: 5.0ms (10.3% of total)ival-div: 4.0ms (8.2% 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 |
|---|---|---|
| ▶ | 78.9% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 (+.f64 a b)) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| ✓ | cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 12× | lower-*.f32 |
| 10× | lower-*.f64 |
| 6× | *-commutative |
| 6× | lower-/.f32 |
| 4× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 0 | 13 | 28 |
| 1 | 17 | 28 |
| 2 | 19 | 28 |
| 3 | 21 | 28 |
| 4 | 22 | 28 |
| 0 | 22 | 28 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
r |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
r |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 b a)) |
(+.f64 a b) |
(+.f64 b a) |
a |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 b) |
| ✓ | accuracy | 99.7% | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| ✓ | accuracy | 99.6% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| ✓ | accuracy | 79.2% | (cos.f64 (+.f64 a b)) |
| 38.0ms | 176× | 1 | valid |
| 6.0ms | 80× | 0 | valid |
Compiled 30 to 10 computations (66.7% saved)
ival-cos: 15.0ms (46.2% of total)ival-sin: 6.0ms (18.5% of total)ival-div: 3.0ms (9.2% of total)adjust: 3.0ms (9.2% of total)ival-mult: 3.0ms (9.2% of total)ival-add: 2.0ms (6.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))> |
#<alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))> |
#<alt (sin.f64 b)> |
#<alt (cos.f64 (+.f64 a b))> |
| Outputs |
|---|
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ b (cos a))> |
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos (- a (* -1 b))))> |
#<alt (/ (sin b) (cos b))> |
#<alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (+ a b)))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt b> |
#<alt (* b (+ 1 (* -1/6 (pow b 2))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | r | @ | inf | (* r (/ (sin b) (cos (+ a b)))) |
| 2.0ms | a | @ | inf | (/ (sin b) (cos (+ a b))) |
| 2.0ms | r | @ | 0 | (* r (/ (sin b) (cos (+ a b)))) |
| 1.0ms | b | @ | inf | (* r (/ (sin b) (cos (+ a b)))) |
| 1.0ms | b | @ | 0 | (* r (/ (sin b) (cos (+ a b)))) |
| 1× | batch-egg-rewrite |
| 6 400× | lower-*.f32 |
| 6 398× | lower-*.f64 |
| 4 812× | lower-/.f32 |
| 4 810× | lower-/.f64 |
| 3 770× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 22 |
| 0 | 13 | 22 |
| 1 | 44 | 22 |
| 2 | 234 | 22 |
| 3 | 1985 | 22 |
| 0 | 10212 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
(sin.f64 b) |
(cos.f64 (+.f64 a b)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))) r)) |
(neg.f64 (*.f64 r (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 r #s(literal -1 binary64)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 #s(literal -1 binary64) r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) (cos.f64 (+.f64 b a))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r)) |
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 b a))))) |
(*.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 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.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)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))) (sin.f64 (neg.f64 b))) |
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (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))))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a)))) |
(neg.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a)))) |
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(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))) |
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(/.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (cos.f64 (+.f64 b a))) |
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(/.f64 (*.f64 (sin.f64 (neg.f64 b)) #s(literal 1 binary64)) (neg.f64 (cos.f64 (+.f64 b a)))) |
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(/.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)))))) |
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(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) |
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 a b)))))) |
(pow.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)) |
(*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))) |
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) |
| 1× | egg-herbie |
| 9 408× | lower-fma.f64 |
| 9 408× | lower-fma.f32 |
| 5 356× | lower-*.f64 |
| 5 356× | lower-*.f32 |
| 2 876× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 215 | 1226 |
| 1 | 660 | 1174 |
| 2 | 2069 | 1116 |
| 3 | 7705 | 1116 |
| 0 | 8285 | 1075 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
| Outputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* b r) (cos a)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (fma.f64 r (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) (/.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (cos.f64 a)))) (neg.f64 b) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) (/.f64 r (cos.f64 a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 r (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 r (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a (-.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))))))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 a (fma.f64 a (neg.f64 (fma.f64 a (fma.f64 (sin.f64 b) (/.f64 (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (cos.f64 b)) (*.f64 r (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 b (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (fma.f64 b (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (fma.f64 b (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (*.f64 b (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (neg.f64 (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 a (fma.f64 a (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b)))))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 a (fma.f64 a (*.f64 (neg.f64 a) (fma.f64 (sin.f64 b) (/.f64 (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (fma.f64 a (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b))))))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
Compiled 4 805 to 748 computations (84.4% saved)
31 alts after pruning (31 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 224 | 31 | 255 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 225 | 31 | 256 |
| Status | Accuracy | Program |
|---|---|---|
| 78.8% | (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 78.9% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) | |
| 61.3% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) | |
| 78.8% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| ▶ | 78.1% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
| 78.8% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) | |
| ▶ | 78.9% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
| 78.1% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) | |
| 78.8% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) | |
| 78.9% | (*.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r)) | |
| 57.8% | (*.f64 r (fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))) | |
| 38.0% | (*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) | |
| 53.1% | (*.f64 r (/.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b)))) | |
| 52.9% | (*.f64 r (/.f64 (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b) (cos.f64 (+.f64 a b)))) | |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) | |
| ▶ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
| 54.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))) | |
| 54.3% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) | |
| 58.5% | (*.f64 r (/.f64 (sin.f64 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)))) | |
| ▶ | 58.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) |
| 98.2% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))) | |
| 99.4% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 59.0% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) | |
| 54.9% | (*.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) | |
| 61.3% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) | |
| 56.8% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) | |
| 53.4% | (*.f64 r (/.f64 b (cos.f64 a))) | |
| 78.9% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) | |
| 78.8% | (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) | |
| ▶ | 53.4% | (*.f64 b (/.f64 r (cos.f64 a))) |
| 35.5% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
Compiled 1 114 to 700 computations (37.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) |
| ✓ | cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) |
| ✓ | cost-diff | 6080 | (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) |
| ✓ | cost-diff | 0 | (+.f64 b a) |
| ✓ | cost-diff | 0 | (cos.f64 (+.f64 b a)) |
| ✓ | cost-diff | 0 | (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
| ✓ | cost-diff | 0 | (+.f64 b a) |
| ✓ | cost-diff | 0 | (cos.f64 (+.f64 b a)) |
| ✓ | cost-diff | 0 | (/.f64 r (cos.f64 (+.f64 b a))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
| ✓ | cost-diff | 0 | (cos.f64 a) |
| ✓ | cost-diff | 0 | (/.f64 r (cos.f64 a)) |
| ✓ | cost-diff | 0 | (*.f64 b (/.f64 r (cos.f64 a))) |
| ✓ | cost-diff | 0 | (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
| ✓ | cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
| 4 164× | lower-fma.f32 |
| 4 160× | lower-fma.f64 |
| 2 308× | lower-*.f32 |
| 2 292× | lower-*.f64 |
| 1 480× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 216 |
| 0 | 55 | 214 |
| 1 | 90 | 214 |
| 2 | 137 | 214 |
| 3 | 225 | 214 |
| 4 | 361 | 214 |
| 5 | 617 | 214 |
| 6 | 964 | 214 |
| 7 | 1576 | 214 |
| 8 | 2423 | 214 |
| 9 | 3137 | 214 |
| 10 | 3639 | 214 |
| 11 | 4072 | 214 |
| 12 | 4318 | 214 |
| 13 | 4562 | 214 |
| 14 | 4758 | 214 |
| 15 | 4776 | 214 |
| 16 | 5120 | 214 |
| 17 | 5343 | 214 |
| 18 | 5391 | 214 |
| 19 | 5619 | 214 |
| 20 | 6285 | 214 |
| 21 | 7333 | 214 |
| 22 | 7699 | 214 |
| 0 | 8011 | 214 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(cos.f64 b) |
(cos.f64 a) |
a |
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(sin.f64 a) |
(*.f64 b (/.f64 r (cos.f64 a))) |
b |
(/.f64 r (cos.f64 a)) |
r |
(cos.f64 a) |
a |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(/.f64 r (cos.f64 (+.f64 b a))) |
r |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
b |
a |
(sin.f64 b) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
#s(literal 1 binary64) |
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
b |
a |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) |
r |
(/.f64 (sin.f64 b) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) |
(sin.f64 b) |
b |
(fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) |
a |
(-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) |
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 b)) |
#s(literal -1/2 binary64) |
(cos.f64 b) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(cos.f64 b) |
(cos.f64 a) |
a |
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) |
(*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(sin.f64 a) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
b |
(/.f64 r (cos.f64 a)) |
r |
(cos.f64 a) |
a |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
r |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
b |
a |
(sin.f64 b) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
#s(literal 1 binary64) |
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
b |
a |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
(*.f64 r (/.f64 (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 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) (neg.f64 a)))) |
r |
(/.f64 (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 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) (neg.f64 a)))) |
(sin.f64 b) |
b |
(fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) |
(fma.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) (neg.f64 a))) |
a |
(-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 b) a)) (sin.f64 b)) |
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 b) a)) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 b)) |
(*.f64 (cos.f64 b) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(cos.f64 b) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) |
| ✓ | accuracy | 99.8% | (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) |
| ✓ | accuracy | 99.7% | (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) |
| ✓ | accuracy | 94.6% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) |
| ✓ | accuracy | 99.8% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 99.5% | (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) |
| ✓ | accuracy | 98.9% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
| ✓ | accuracy | 79.2% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 100.0% | (sin.f64 b) |
| ✓ | accuracy | 99.7% | (/.f64 r (cos.f64 (+.f64 b a))) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
| ✓ | accuracy | 79.2% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 100.0% | (cos.f64 a) |
| ✓ | accuracy | 99.8% | (*.f64 b (/.f64 r (cos.f64 a))) |
| ✓ | accuracy | 99.8% | (/.f64 r (cos.f64 a)) |
| ✓ | accuracy | 99.8% | (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
| ✓ | accuracy | 99.7% | (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
| ✓ | accuracy | 99.7% | (*.f64 (sin.f64 b) (sin.f64 a)) |
| ✓ | accuracy | 99.6% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
| 123.0ms | 176× | 1 | valid |
| 24.0ms | 80× | 0 | valid |
Compiled 224 to 33 computations (85.3% saved)
ival-mult: 36.0ms (32.4% of total)ival-cos: 25.0ms (22.5% of total)ival-sin: 15.0ms (13.5% of total)ival-div: 14.0ms (12.6% of total)ival-add: 9.0ms (8.1% of total)adjust: 9.0ms (8.1% of total)ival-sub: 2.0ms (1.8% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))> |
#<alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))> |
#<alt (sin.f64 b)> |
#<alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))> |
#<alt (*.f64 b (/.f64 r (cos.f64 a)))> |
#<alt (/.f64 r (cos.f64 a))> |
#<alt (cos.f64 a)> |
#<alt (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))> |
#<alt (/.f64 r (cos.f64 (+.f64 b a)))> |
#<alt (cos.f64 (+.f64 b a))> |
#<alt (+.f64 b a)> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))> |
#<alt (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))> |
#<alt (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))> |
#<alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))> |
#<alt (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))> |
#<alt (*.f64 (sin.f64 b) (sin.f64 a))> |
#<alt (*.f64 r (sin.f64 b))> |
#<alt (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))> |
| Outputs |
|---|
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ b (cos a))> |
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (cos b))> |
#<alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt b> |
#<alt (* b (+ 1 (* -1/6 (pow b 2))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b r)> |
#<alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))> |
#<alt (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))> |
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#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (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 (* -2 (/ (* r (sin b)) (* (pow a 2) (cos b))))> |
#<alt (/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* 4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (pow a 2))> |
#<alt (/ (- (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3)))) (pow a 2)))) (* -4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (pow a 2))> |
#<alt (/ (- (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (+ (* -8 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (* -2 (/ (* (sin b) (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) (cos b)))) (pow a 3)))) (+ (* -4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2)))) (+ (* 4 (/ (* r (sin b)) (* (pow a 2) (cos b)))) (* 8 (/ (* r (pow (sin b) 3)) (* (pow a 2) (pow (cos b) 3))))))) (pow a 2))> |
#<alt (* -2 (/ (* r (sin b)) (* (pow a 2) (cos b))))> |
#<alt (/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* 4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (pow a 2))> |
#<alt (/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (- (+ (* 4 (/ (* r (sin b)) (* a (cos b)))) (* 8 (/ (* r (pow (sin b) 3)) (* a (pow (cos b) 3))))) (* 4 (/ (* r (pow (sin b) 2)) (pow (cos b) 2)))) a))) (pow a 2))> |
#<alt (/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (sin b) (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) (* a (cos b)))) (* 8 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) a)) (* 4 (/ (* r (pow (sin b) 2)) (pow (cos b) 2)))) a))) (pow a 2))> |
#<alt (/ b (+ 1 (* -1/2 (pow a 2))))> |
#<alt (* b (+ (/ 1 (+ 1 (* -1/2 (pow a 2)))) (/ (* a b) (pow (+ 1 (* -1/2 (pow a 2))) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (pow (+ 1 (* -1/2 (pow a 2))) 2))) (+ (* -1 (/ (pow a 2) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (+ (* 1/6 (/ 1 (+ 1 (* -1/2 (pow a 2))))) (* 1/4 (/ (pow a 2) (pow (+ 1 (* -1/2 (pow a 2))) 2))))))) (* -1 (/ a (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ 1 (+ 1 (* -1/2 (pow a 2))))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* a (- (* 1/2 (/ 1 (pow (+ 1 (* -1/2 (pow a 2))) 2))) (+ (* -1 (/ (pow a 2) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (+ (* 1/6 (/ 1 (+ 1 (* -1/2 (pow a 2))))) (* 1/4 (/ (pow a 2) (pow (+ 1 (* -1/2 (pow a 2))) 2))))))) (+ 1 (* -1/2 (pow a 2))))) (+ (* 1/6 (/ a (pow (+ 1 (* -1/2 (pow a 2))) 2))) (/ (* a (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (* -1/2 (pow a 2))) 2)))) (+ (* -1 (/ (pow a 2) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (+ (* 1/6 (/ 1 (+ 1 (* -1/2 (pow a 2))))) (* 1/4 (/ (pow a 2) (pow (+ 1 (* -1/2 (pow a 2))) 2))))))) (* -1 (/ a (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ 1 (+ 1 (* -1/2 (pow a 2))))))> |
#<alt (/ (sin b) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (sin b) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (sin b) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (sin b) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (sin b) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (sin b) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (sin b) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (sin b) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))))> |
#<alt (/ (sin b) (cos b))> |
#<alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (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 (* -2 (/ (sin b) (* (pow a 2) (cos b))))> |
#<alt (/ (+ (* -2 (/ (sin b) (cos b))) (* 4 (/ (pow (sin b) 2) (* a (pow (cos b) 2))))) (pow a 2))> |
#<alt (/ (- (+ (* -2 (/ (sin b) (cos b))) (* -1 (/ (+ (* 4 (/ (sin b) (cos b))) (* 8 (/ (pow (sin b) 3) (pow (cos b) 3)))) (pow a 2)))) (* -4 (/ (pow (sin b) 2) (* a (pow (cos b) 2))))) (pow a 2))> |
#<alt (/ (- (+ (* -2 (/ (sin b) (cos b))) (* -1 (/ (+ (* -8 (/ (pow (sin b) 2) (pow (cos b) 2))) (* -2 (/ (* (sin b) (+ (* 4 (/ (sin b) (cos b))) (* 8 (/ (pow (sin b) 3) (pow (cos b) 3))))) (cos b)))) (pow a 3)))) (+ (* -4 (/ (pow (sin b) 2) (* a (pow (cos b) 2)))) (+ (* 4 (/ (sin b) (* (pow a 2) (cos b)))) (* 8 (/ (pow (sin b) 3) (* (pow a 2) (pow (cos b) 3))))))) (pow a 2))> |
#<alt (* -2 (/ (sin b) (* (pow a 2) (cos b))))> |
#<alt (/ (+ (* -2 (/ (sin b) (cos b))) (* 4 (/ (pow (sin b) 2) (* a (pow (cos b) 2))))) (pow a 2))> |
#<alt (/ (+ (* -2 (/ (sin b) (cos b))) (* -1 (/ (- (+ (* 4 (/ (sin b) (* a (cos b)))) (* 8 (/ (pow (sin b) 3) (* a (pow (cos b) 3))))) (* 4 (/ (pow (sin b) 2) (pow (cos b) 2)))) a))) (pow a 2))> |
#<alt (/ (+ (* -2 (/ (sin b) (cos b))) (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (sin b) (+ (* 4 (/ (sin b) (cos b))) (* 8 (/ (pow (sin b) 3) (pow (cos b) 3))))) (* a (cos b)))) (* 8 (/ (pow (sin b) 2) (* a (pow (cos b) 2))))) (+ (* 4 (/ (sin b) (cos b))) (* 8 (/ (pow (sin b) 3) (pow (cos b) 3))))) a)) (* 4 (/ (pow (sin b) 2) (pow (cos b) 2)))) a))) (pow a 2))> |
#<alt (* b (sin a))> |
#<alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))> |
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))> |
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))> |
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))> |
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* 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 (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 a)> |
#<alt (+ (* -1/2 a) (* 1/4 (* a (pow b 2))))> |
#<alt (+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a))))> |
#<alt (+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2))))))))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
#<alt (* -1/2 (* a (cos b)))> |
129 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | r | @ | 0 | (* r (/ (sin b) (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)))) |
| 16.0ms | r | @ | -inf | (* b (/ r (cos a))) |
| 4.0ms | b | @ | -inf | (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a))))) |
| 2.0ms | r | @ | 0 | (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* (sin b) (sin a)))))) |
| 2.0ms | b | @ | 0 | (* r (/ (sin b) (+ (* a (- (* a (* -1/2 (cos b))) (sin b))) (cos b)))) |
| 1× | batch-egg-rewrite |
| 5 196× | lower-/.f32 |
| 5 184× | lower-/.f64 |
| 4 838× | lower-*.f32 |
| 4 822× | lower-*.f64 |
| 3 268× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 159 |
| 0 | 55 | 136 |
| 1 | 185 | 136 |
| 2 | 1192 | 136 |
| 0 | 8364 | 136 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(sin.f64 b) |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(/.f64 r (cos.f64 a)) |
(cos.f64 a) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 (cos.f64 (+.f64 b a)) (*.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 r (/.f64 (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 (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 (sin.f64 b) (sin.f64 a)) |
(*.f64 r (sin.f64 b)) |
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 #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 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (*.f64 r #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)) (sin.f64 b)) (*.f64 #s(literal 1 binary64) r))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 (*.f64 r (sin.f64 b))))) |
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))))))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (cos.f64 b) (*.f64 (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (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)))) |
(/.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))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (neg.f64 (cos.f64 (+.f64 b a)))) |
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(sin.f64 b) |
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(cos.f64 (+.f64 b a)) |
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(-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 b a)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) #s(literal 2 binary64)) (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 b a)))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) (fma.f64 (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(*.f64 (sin.f64 a) (sin.f64 b)) |
(*.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
(*.f64 (cos.f64 b) (*.f64 a #s(literal -1/2 binary64))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 b) a)) |
(*.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) a) |
(*.f64 (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b)) |
(*.f64 (*.f64 a (cos.f64 b)) #s(literal -1/2 binary64)) |
| 1× | egg-herbie |
| 9 386× | lower-fma.f64 |
| 9 386× | lower-fma.f32 |
| 7 322× | lower-*.f64 |
| 7 322× | lower-*.f32 |
| 3 380× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 719 | 7580 |
| 1 | 2342 | 7361 |
| 2 | 7733 | 7295 |
| 0 | 8013 | 6998 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(* b r) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
r |
(+ r (* 1/2 (* (pow a 2) r))) |
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
(/ r (cos a)) |
1 |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos b)) |
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
a |
(+ a b) |
(+ a b) |
(+ a b) |
b |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
b |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
b |
(+ a b) |
(+ a b) |
(+ a b) |
a |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
a |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (cos a) (* b r)) |
(/ (+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r)) b) |
(/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b) |
(/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (+ (* -1/2 (/ (cos a) r)) (* (pow b 2) (- (* 1/24 (/ (cos a) r)) (+ (* -1/6 (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (* 1/120 (/ (cos a) r)))))) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b) |
(/ (cos (+ a b)) (* r (sin b))) |
(/ (cos (+ a b)) (* r (sin b))) |
(/ (cos (+ a b)) (* r (sin b))) |
(/ (cos (+ a b)) (* r (sin b))) |
(/ (cos (- a (* -1 b))) (* r (sin b))) |
(/ (cos (- a (* -1 b))) (* r (sin b))) |
(/ (cos (- a (* -1 b))) (* r (sin b))) |
(/ (cos (- a (* -1 b))) (* r (sin b))) |
(/ (cos b) (* r (sin b))) |
(+ (* -1 (/ a r)) (/ (cos b) (* r (sin b)))) |
(+ (* a (- (* -1/2 (/ (* a (cos b)) (* r (sin b)))) (/ 1 r))) (/ (cos b) (* r (sin b)))) |
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (* r (sin b)))) (* 1/6 (/ a r)))) (/ 1 r))) (/ (cos b) (* r (sin b)))) |
(/ (cos (+ a b)) (* r (sin b))) |
(/ (cos (+ a b)) (* r (sin b))) |
(/ (cos (+ a b)) (* r (sin b))) |
(/ (cos (+ a b)) (* r (sin b))) |
(/ (cos (- b (* -1 a))) (* r (sin b))) |
(/ (cos (- b (* -1 a))) (* r (sin b))) |
(/ (cos (- b (* -1 a))) (* r (sin b))) |
(/ (cos (- b (* -1 a))) (* r (sin b))) |
(/ (cos (+ a b)) (* r (sin b))) |
(/ (cos (+ a b)) (* r (sin b))) |
(/ (cos (+ a b)) (* r (sin b))) |
(/ (cos (+ a b)) (* r (sin b))) |
(/ (cos (+ a b)) (* r (sin b))) |
(/ (cos (+ a b)) (* r (sin b))) |
(/ (cos (+ a b)) (* r (sin b))) |
(/ (cos (+ a b)) (* r (sin b))) |
(/ (cos (+ a b)) (* r (sin b))) |
(/ (cos (+ a b)) (* r (sin b))) |
(/ (cos (+ a b)) (* r (sin b))) |
(/ (cos (+ a b)) (* r (sin b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(* -1/2 (* (pow a 2) (cos b))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (sin b) a))) |
(* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (sin b) a))) |
(* -1/2 (* (pow a 2) (cos b))) |
(* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b)))) |
(* (pow a 2) (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b)))) |
(* (pow a 2) (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b)))) |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2)))) |
(+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (* 1/4 (pow a 2)) 1/2)))))) |
(+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (+ (* 1/6 (* a b)) (* 1/4 (pow a 2))) 1/2)))))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
(* b (+ (/ r (+ 1 (* -1/2 (pow a 2)))) (/ (* a (* b r)) (pow (+ 1 (* -1/2 (pow a 2))) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (+ (* -1 (/ (* (pow a 2) r) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (* -1 (/ (* a r) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ r (+ 1 (* -1/2 (pow a 2)))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* a (- (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (+ (* -1 (/ (* (pow a 2) r) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (+ 1 (* -1/2 (pow a 2))))) (+ (* 1/6 (/ (* a r) (pow (+ 1 (* -1/2 (pow a 2))) 2))) (/ (* a (* r (- (* 1/4 (pow a 2)) 1/2))) (pow (+ 1 (* -1/2 (pow a 2))) 3)))))) (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2)))))) (+ (* -1 (/ (* (pow a 2) r) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (* -1 (/ (* a r) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ r (+ 1 (* -1/2 (pow a 2)))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (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))) |
(* -2 (/ (* r (sin b)) (* (pow a 2) (cos b)))) |
(/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* 4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (pow a 2)) |
(/ (- (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3)))) (pow a 2)))) (* -4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (pow a 2)) |
(/ (- (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (+ (* -8 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (* -2 (/ (* (sin b) (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) (cos b)))) (pow a 3)))) (+ (* -4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2)))) (+ (* 4 (/ (* r (sin b)) (* (pow a 2) (cos b)))) (* 8 (/ (* r (pow (sin b) 3)) (* (pow a 2) (pow (cos b) 3))))))) (pow a 2)) |
(* -2 (/ (* r (sin b)) (* (pow a 2) (cos b)))) |
(/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* 4 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (pow a 2)) |
(/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (- (+ (* 4 (/ (* r (sin b)) (* a (cos b)))) (* 8 (/ (* r (pow (sin b) 3)) (* a (pow (cos b) 3))))) (* 4 (/ (* r (pow (sin b) 2)) (pow (cos b) 2)))) a))) (pow a 2)) |
(/ (+ (* -2 (/ (* r (sin b)) (cos b))) (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (sin b) (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) (* a (cos b)))) (* 8 (/ (* r (pow (sin b) 2)) (* a (pow (cos b) 2))))) (+ (* 4 (/ (* r (sin b)) (cos b))) (* 8 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) a)) (* 4 (/ (* r (pow (sin b) 2)) (pow (cos b) 2)))) a))) (pow a 2)) |
(/ b (+ 1 (* -1/2 (pow a 2)))) |
(* b (+ (/ 1 (+ 1 (* -1/2 (pow a 2)))) (/ (* a b) (pow (+ 1 (* -1/2 (pow a 2))) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (pow (+ 1 (* -1/2 (pow a 2))) 2))) (+ (* -1 (/ (pow a 2) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (+ (* 1/6 (/ 1 (+ 1 (* -1/2 (pow a 2))))) (* 1/4 (/ (pow a 2) (pow (+ 1 (* -1/2 (pow a 2))) 2))))))) (* -1 (/ a (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ 1 (+ 1 (* -1/2 (pow a 2)))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* a (- (* 1/2 (/ 1 (pow (+ 1 (* -1/2 (pow a 2))) 2))) (+ (* -1 (/ (pow a 2) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (+ (* 1/6 (/ 1 (+ 1 (* -1/2 (pow a 2))))) (* 1/4 (/ (pow a 2) (pow (+ 1 (* -1/2 (pow a 2))) 2))))))) (+ 1 (* -1/2 (pow a 2))))) (+ (* 1/6 (/ a (pow (+ 1 (* -1/2 (pow a 2))) 2))) (/ (* a (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (* -1/2 (pow a 2))) 2)))) (+ (* -1 (/ (pow a 2) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (+ (* 1/6 (/ 1 (+ 1 (* -1/2 (pow a 2))))) (* 1/4 (/ (pow a 2) (pow (+ 1 (* -1/2 (pow a 2))) 2))))))) (* -1 (/ a (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ 1 (+ 1 (* -1/2 (pow a 2)))))) |
(/ (sin b) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (sin b) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (sin b) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (sin b) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (sin b) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (sin b) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (sin b) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (sin b) (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (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))) |
(* -2 (/ (sin b) (* (pow a 2) (cos b)))) |
(/ (+ (* -2 (/ (sin b) (cos b))) (* 4 (/ (pow (sin b) 2) (* a (pow (cos b) 2))))) (pow a 2)) |
(/ (- (+ (* -2 (/ (sin b) (cos b))) (* -1 (/ (+ (* 4 (/ (sin b) (cos b))) (* 8 (/ (pow (sin b) 3) (pow (cos b) 3)))) (pow a 2)))) (* -4 (/ (pow (sin b) 2) (* a (pow (cos b) 2))))) (pow a 2)) |
(/ (- (+ (* -2 (/ (sin b) (cos b))) (* -1 (/ (+ (* -8 (/ (pow (sin b) 2) (pow (cos b) 2))) (* -2 (/ (* (sin b) (+ (* 4 (/ (sin b) (cos b))) (* 8 (/ (pow (sin b) 3) (pow (cos b) 3))))) (cos b)))) (pow a 3)))) (+ (* -4 (/ (pow (sin b) 2) (* a (pow (cos b) 2)))) (+ (* 4 (/ (sin b) (* (pow a 2) (cos b)))) (* 8 (/ (pow (sin b) 3) (* (pow a 2) (pow (cos b) 3))))))) (pow a 2)) |
(* -2 (/ (sin b) (* (pow a 2) (cos b)))) |
(/ (+ (* -2 (/ (sin b) (cos b))) (* 4 (/ (pow (sin b) 2) (* a (pow (cos b) 2))))) (pow a 2)) |
(/ (+ (* -2 (/ (sin b) (cos b))) (* -1 (/ (- (+ (* 4 (/ (sin b) (* a (cos b)))) (* 8 (/ (pow (sin b) 3) (* a (pow (cos b) 3))))) (* 4 (/ (pow (sin b) 2) (pow (cos b) 2)))) a))) (pow a 2)) |
(/ (+ (* -2 (/ (sin b) (cos b))) (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (sin b) (+ (* 4 (/ (sin b) (cos b))) (* 8 (/ (pow (sin b) 3) (pow (cos b) 3))))) (* a (cos b)))) (* 8 (/ (pow (sin b) 2) (* a (pow (cos b) 2))))) (+ (* 4 (/ (sin b) (cos b))) (* 8 (/ (pow (sin b) 3) (pow (cos b) 3))))) a)) (* 4 (/ (pow (sin b) 2) (pow (cos b) 2)))) a))) (pow a 2)) |
(* b (sin a)) |
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a)))))))) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* a (sin b)) |
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* 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)) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 a) |
(+ (* -1/2 a) (* 1/4 (* a (pow b 2)))) |
(+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a)))) |
(+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2)))))))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
(* -1/2 (* a (cos b))) |
| Outputs |
|---|
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
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b |
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(sin b) |
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(sin b) |
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(cos a) |
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(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 b)) (cos.f64 b)) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 #s(literal 8 binary64) a) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (sin.f64 b)) (*.f64 a (cos.f64 b))))) a)) (*.f64 a a)) |
(/ (+ (* -2 (/ (sin b) (cos b))) (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (sin b) (+ (* 4 (/ (sin b) (cos b))) (* 8 (/ (pow (sin b) 3) (pow (cos b) 3))))) (* a (cos b)))) (* 8 (/ (pow (sin b) 2) (* a (pow (cos b) 2))))) (+ (* 4 (/ (sin b) (cos b))) (* 8 (/ (pow (sin b) 3) (pow (cos b) 3))))) a)) (* 4 (/ (pow (sin b) 2) (pow (cos b) 2)))) a))) (pow a 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 b)) (cos.f64 b)) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) #s(literal 8 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (sin.f64 b)) (cos.f64 b))) (/.f64 (sin.f64 b) (*.f64 a (cos.f64 b)))) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (*.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) #s(literal 8 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (sin.f64 b)) (cos.f64 b)))) (neg.f64 a))) a)) (*.f64 a a)) |
(* b (sin a)) |
(*.f64 b (sin.f64 a)) |
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))) |
(*.f64 b (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) (sin.f64 a))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))) |
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (sin.f64 a))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a)))))))) |
(*.f64 b (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) (sin.f64 a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))))) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) |
(*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))) |
(*.f64 a (fma.f64 (*.f64 a a) (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal -1/6 binary64))) (sin.f64 b))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))) |
(*.f64 a (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b) (*.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64))) (*.f64 (*.f64 a a) (*.f64 a a))))) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* b r) |
(*.f64 r b) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r)) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) r)) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 r #s(literal -1/6 binary64))) r)) |
(* r (sin b)) |
(*.f64 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)) |
(* -1/2 (* a (cos b))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) |
(* -1/2 a) |
(*.f64 a #s(literal -1/2 binary64)) |
(+ (* -1/2 a) (* 1/4 (* a (pow b 2)))) |
(fma.f64 a #s(literal -1/2 binary64) (*.f64 a (*.f64 (*.f64 b b) #s(literal 1/4 binary64)))) |
(+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a)))) |
(fma.f64 a #s(literal -1/2 binary64) (*.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 a #s(literal -1/48 binary64))) (*.f64 a #s(literal 1/4 binary64))))) |
(+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2)))))))) |
(fma.f64 (*.f64 b b) (fma.f64 a #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (fma.f64 a #s(literal -1/48 binary64) (*.f64 (*.f64 b (*.f64 b a)) #s(literal 1/1440 binary64))))) (*.f64 a #s(literal -1/2 binary64))) |
(* -1/2 (* a (cos b))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) |
(* -1/2 (* a (cos b))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) |
Compiled 43 729 to 3 437 computations (92.1% saved)
76 alts after pruning (73 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 576 | 61 | 1 637 |
| Fresh | 14 | 12 | 26 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 592 | 76 | 1 668 |
| Status | Accuracy | Program |
|---|---|---|
| 44.0% | (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 78.8% | (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a))))) | |
| 78.9% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) | |
| 61.3% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) | |
| 34.1% | (/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 53.4% | (/.f64 (*.f64 r b) (cos.f64 a)) | |
| 78.8% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 53.4% | (/.f64 b (/.f64 (cos.f64 a) r)) | |
| 98.7% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 r (sin.f64 b)))) | |
| 53.6% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (fma.f64 (/.f64 (cos.f64 a) r) (*.f64 #s(literal -1/3 binary64) b) (neg.f64 (/.f64 (sin.f64 a) r))) (/.f64 (cos.f64 a) r)) b)) | |
| 85.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))))) (*.f64 r (sin.f64 b)))) | |
| 97.7% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))) (*.f64 r (sin.f64 b)))) | |
| 54.7% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 b (sin.f64 a)) r)) b)) | |
| 54.2% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) (*.f64 r (sin.f64 b)))) | |
| 64.1% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 a (/.f64 b a) a)) (*.f64 r (sin.f64 b)))) | |
| 52.2% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))) | |
| 52.6% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r b))) | |
| 60.8% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b)))) | |
| 56.1% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) | |
| 52.7% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) | |
| 98.7% | (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) r) (/.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b)) r))) | |
| 98.6% | (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r) (sin.f64 b)) (/.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r) (sin.f64 b)))) | |
| 91.2% | (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 r (sin.f64 b))) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 r (sin.f64 b))))) | |
| 56.6% | (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b))) (/.f64 a r))) | |
| ▶ | 78.1% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
| 28.7% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) | |
| 99.5% | (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) | |
| 98.5% | (*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))) (sin.f64 b)) | |
| 98.5% | (*.f64 (/.f64 r (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))) (sin.f64 b)) | |
| ▶ | 99.5% | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
| 59.0% | (*.f64 (/.f64 r (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (sin.f64 b)) | |
| 78.8% | (*.f64 (/.f64 r (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) (sin.f64 b)) | |
| 64.8% | (*.f64 (/.f64 r (cos.f64 (fma.f64 a (/.f64 b a) a))) (sin.f64 b)) | |
| 70.1% | (*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b)) | |
| 52.9% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) | |
| ▶ | 53.2% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
| 53.0% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) | |
| 31.6% | (*.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))))) (sin.f64 b)) | |
| 61.3% | (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) | |
| 56.8% | (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) | |
| 53.3% | (*.f64 (/.f64 b (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) | |
| 78.8% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) | |
| 78.9% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) | |
| 53.4% | (*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 a))) | |
| 49.2% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) | |
| 38.0% | (*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) | |
| 53.8% | (*.f64 r (/.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| 54.1% | (*.f64 r (/.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| 53.7% | (*.f64 r (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| 58.8% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| 58.7% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| 58.6% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| ✓ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
| 68.3% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a))))) | |
| ▶ | 60.8% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))))) |
| 62.4% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| 28.9% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (fma.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 35.0% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| ✓ | 58.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) |
| 58.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (*.f64 a #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))) | |
| 35.9% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 98.5% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))) | |
| 61.3% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) | |
| 56.8% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) | |
| 34.2% | (*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 53.4% | (*.f64 r (/.f64 b (cos.f64 a))) | |
| 78.9% | (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) | |
| 78.8% | (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) | |
| ▶ | 35.6% | (*.f64 r b) |
| 33.9% | (*.f64 b (fma.f64 a (/.f64 (*.f64 r b) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 34.1% | (*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 34.0% | (*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 34.2% | (*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 53.4% | (*.f64 b (/.f64 r (cos.f64 a))) |
| 35.5% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
Compiled 3 085 to 1 878 computations (39.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))) |
| ✓ | cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))))) |
| ✓ | cost-diff | 128 | (neg.f64 (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))) |
| ✓ | cost-diff | 0 | (*.f64 r (sin.f64 b)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
| ✓ | cost-diff | 0 | (+.f64 b a) |
| ✓ | cost-diff | 0 | (cos.f64 (+.f64 b a)) |
| ✓ | cost-diff | 0 | (/.f64 r (cos.f64 (+.f64 b a))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
| ✓ | cost-diff | 0 | (*.f64 r b) |
| ✓ | cost-diff | 0 | (*.f64 (cos.f64 b) (cos.f64 a)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) |
| ✓ | cost-diff | 0 | (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
| 5 452× | lower-fma.f32 |
| 5 444× | lower-fma.f64 |
| 3 606× | lower-*.f32 |
| 3 580× | lower-*.f64 |
| 1 724× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 289 |
| 0 | 69 | 283 |
| 1 | 129 | 277 |
| 2 | 272 | 277 |
| 3 | 857 | 268 |
| 4 | 2658 | 268 |
| 5 | 5060 | 268 |
| 6 | 6844 | 268 |
| 0 | 8170 | 267 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
r |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
b |
(cos.f64 a) |
a |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(sin.f64 b) |
(sin.f64 a) |
(*.f64 r b) |
r |
b |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 r (cos.f64 (+.f64 b a))) |
r |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
b |
a |
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) |
(fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(*.f64 b b) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 b (*.f64 b b)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
a |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))) |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))) |
(cos.f64 b) |
(cos.f64 a) |
a |
(neg.f64 (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))) |
(*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 a a) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
r |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
b |
(cos.f64 a) |
a |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(sin.f64 b) |
(sin.f64 a) |
(*.f64 r b) |
r |
b |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) b)) (cos.f64 (+.f64 b a))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
r |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
b |
a |
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) |
(fma.f64 b (*.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) b) |
(fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(*.f64 b b) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 b (*.f64 b b)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) |
(/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) |
(/.f64 #s(literal 1 binary64) (*.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 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(cos.f64 b) |
(cos.f64 a) |
a |
(neg.f64 (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))) |
(*.f64 (sin.f64 b) (*.f64 a (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))) |
(*.f64 (sin.f64 b) (fma.f64 a (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) a)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)) |
(*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) |
(fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 a a) |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))) |
| ✓ | accuracy | 99.6% | (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) |
| ✓ | accuracy | 94.7% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))))) |
| ✓ | accuracy | 92.5% | (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
| ✓ | accuracy | 98.9% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
| ✓ | accuracy | 79.2% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 99.9% | (*.f64 b (*.f64 b b)) |
| ✓ | accuracy | 99.7% | (/.f64 r (cos.f64 (+.f64 b a))) |
| ✓ | accuracy | 98.0% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
| ✓ | accuracy | 79.2% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 100.0% | (*.f64 r b) |
| ✓ | accuracy | 99.8% | (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) |
| ✓ | accuracy | 99.7% | (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
| ✓ | accuracy | 99.7% | (*.f64 (sin.f64 b) (sin.f64 a)) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
| 151.0ms | 176× | 1 | valid |
| 27.0ms | 80× | 0 | valid |
Compiled 306 to 41 computations (86.6% saved)
ival-mult: 35.0ms (24.4% of total)ival-sin: 26.0ms (18.1% of total)ival-cos: 26.0ms (18.1% of total)ival-div: 19.0ms (13.3% of total)const: 14.0ms (9.8% of total)adjust: 11.0ms (7.7% of total)ival-add: 9.0ms (6.3% of total)ival-sub: 2.0ms (1.4% of total)ival-neg: 2.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))> |
#<alt (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))> |
#<alt (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))> |
#<alt (*.f64 (cos.f64 b) (cos.f64 a))> |
#<alt (*.f64 r b)> |
#<alt (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))> |
#<alt (/.f64 r (cos.f64 (+.f64 b a)))> |
#<alt (cos.f64 (+.f64 b a))> |
#<alt (+.f64 b a)> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))> |
#<alt (*.f64 r (sin.f64 b))> |
#<alt (neg.f64 (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))> |
#<alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))> |
#<alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))))> |
#<alt (sin.f64 b)> |
#<alt (*.f64 (sin.f64 b) (sin.f64 a))> |
#<alt (*.f64 b (*.f64 b b))> |
#<alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))> |
#<alt (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64))> |
#<alt (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))> |
| Outputs |
|---|
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (cos a))> |
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))> |
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))> |
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (cos b))> |
#<alt (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))> |
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))> |
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))> |
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))> |
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* b r)> |
#<alt (* 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 (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos (+ a b)))> |
#<alt (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos (+ a b)))> |
#<alt (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos (+ a b)))> |
#<alt (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos (+ a b)))> |
#<alt (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos (+ a b)))> |
#<alt (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos (+ a b)))> |
#<alt (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos (+ a b)))> |
#<alt (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos (+ a b)))> |
#<alt (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos (+ a b)))> |
#<alt (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos (+ a b)))> |
#<alt (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos (+ a b)))> |
#<alt (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (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 (* 1/120 (/ (* (pow b 5) r) (cos (+ a b))))> |
#<alt (* (pow b 5) (+ (* -1/6 (/ r (* (pow b 2) (cos (+ a b))))) (* 1/120 (/ r (cos (+ a b))))))> |
#<alt (* (pow b 5) (+ (* -1/6 (/ r (* (pow b 2) (cos (+ a b))))) (+ (* 1/120 (/ r (cos (+ a b)))) (/ r (* (pow b 4) (cos (+ a b)))))))> |
#<alt (* (pow b 5) (+ (* -1/6 (/ r (* (pow b 2) (cos (+ a b))))) (+ (* 1/120 (/ r (cos (+ a b)))) (/ r (* (pow b 4) (cos (+ a b)))))))> |
#<alt (* 1/120 (/ (* (pow b 5) r) (cos (- a (* -1 b)))))> |
#<alt (* -1 (* (pow b 5) (+ (* -1/120 (/ r (cos (- a (* -1 b))))) (* 1/6 (/ r (* (pow b 2) (cos (- a (* -1 b)))))))))> |
#<alt (* -1 (* (pow b 5) (+ (* -1 (/ r (* (pow b 4) (cos (- a (* -1 b)))))) (+ (* -1/120 (/ r (cos (- a (* -1 b))))) (* 1/6 (/ r (* (pow b 2) (cos (- a (* -1 b))))))))))> |
#<alt (* -1 (* (pow b 5) (+ (* -1 (/ r (* (pow b 4) (cos (- a (* -1 b)))))) (+ (* -1/120 (/ r (cos (- a (* -1 b))))) (* 1/6 (/ r (* (pow b 2) (cos (- a (* -1 b))))))))))> |
#<alt (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b))> |
#<alt (+ (/ (* a (* r (* (sin b) (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))))) (pow (cos b) 2)) (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 3))) (* -1/2 (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)))))) (* -1 (/ (* r (* (sin b) (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 2))))) (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 3))) (* -1/2 (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 3))) (* -1/2 (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)))))) (* -1 (/ (* r (* (sin b) (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 2))))) (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)))> |
#<alt (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos (+ a b)))> |
#<alt (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos (+ a b)))> |
#<alt (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos (+ a b)))> |
#<alt (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos (+ a b)))> |
#<alt (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos (- b (* -1 a))))> |
#<alt (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos (- b (* -1 a))))> |
#<alt (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos (- b (* -1 a))))> |
#<alt (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos (- b (* -1 a))))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos a))> |
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))> |
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))> |
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (- a (* -1 b))))> |
#<alt (/ r (cos (- a (* -1 b))))> |
#<alt (/ r (cos (- a (* -1 b))))> |
#<alt (/ r (cos (- a (* -1 b))))> |
#<alt (/ r (cos b))> |
#<alt (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))> |
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#<alt (/ (+ 6 (* 36 (/ 1 (pow a 2)))) (pow a 3))> |
#<alt (/ (+ 6 (+ (* -36 (/ (* (cos a) (cos b)) (* (pow a 3) (sin b)))) (* 36 (/ 1 (pow a 2))))) (pow a 3))> |
#<alt (/ (- (+ 6 (+ (* 36 (/ 1 (pow a 2))) (* 216 (/ 1 (pow a 4))))) (* 36 (/ (* (cos a) (cos b)) (* (pow a 3) (sin b))))) (pow a 3))> |
#<alt (/ 6 (pow a 3))> |
#<alt (/ (+ 6 (* 36 (/ 1 (pow a 2)))) (pow a 3))> |
#<alt (* -1 (/ (- (* 36 (/ (* (cos a) (cos b)) (* (pow a 3) (sin b)))) (+ 6 (* 36 (/ 1 (pow a 2))))) (pow a 3)))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 216 (/ 1 a)) (* 36 (/ (* (cos a) (cos b)) (sin b)))) (pow a 3))) (+ 6 (* 36 (/ 1 (pow a 2))))) (pow a 3)))> |
#<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 (* b (sin a))> |
#<alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))> |
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))> |
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))> |
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))> |
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (* (sin a) (sin b))> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (sin b)> |
#<alt (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))> |
#<alt (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))> |
#<alt (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))> |
#<alt (* -1/6 (* (pow a 2) (sin b)))> |
#<alt (* (pow a 2) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2))))> |
#<alt (* (pow a 2) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2))))> |
#<alt (* (pow a 2) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2))))> |
#<alt (* -1/6 (* (pow a 2) (sin b)))> |
#<alt (* (pow a 2) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2))))> |
#<alt (* (pow a 2) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2))))> |
#<alt (* (pow a 2) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2))))> |
#<alt (* b (+ 1 (* -1/6 (pow a 2))))> |
#<alt (* b (+ 1 (+ (* -1/6 (* (pow b 2) (+ 1 (* -1/6 (pow a 2))))) (* -1/6 (pow a 2)))))> |
#<alt (* b (+ 1 (+ (* -1/6 (pow a 2)) (* (pow b 2) (+ (* -1/6 (+ 1 (* -1/6 (pow a 2)))) (* 1/120 (* (pow b 2) (+ 1 (* -1/6 (pow a 2))))))))))> |
#<alt (* b (+ 1 (+ (* -1/6 (pow a 2)) (* (pow b 2) (+ (* -1/6 (+ 1 (* -1/6 (pow a 2)))) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (+ 1 (* -1/6 (pow a 2))))) (* 1/120 (+ 1 (* -1/6 (pow a 2)))))))))))> |
#<alt (* (sin b) (+ 1 (* -1/6 (pow a 2))))> |
#<alt (* (sin b) (+ 1 (* -1/6 (pow a 2))))> |
#<alt (* (sin b) (+ 1 (* -1/6 (pow a 2))))> |
#<alt (* (sin b) (+ 1 (* -1/6 (pow a 2))))> |
#<alt (* (sin b) (+ 1 (* -1/6 (pow a 2))))> |
#<alt (* (sin b) (+ 1 (* -1/6 (pow a 2))))> |
#<alt (* (sin b) (+ 1 (* -1/6 (pow a 2))))> |
#<alt (* (sin b) (+ 1 (* -1/6 (pow a 2))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow a 2)))> |
#<alt (+ 1 (* -1/6 (pow a 2)))> |
#<alt (+ 1 (* -1/6 (pow a 2)))> |
#<alt (* -1/6 (pow a 2))> |
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/6))> |
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/6))> |
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/6))> |
#<alt (* -1/6 (pow a 2))> |
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/6))> |
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/6))> |
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/6))> |
#<alt (* a (sin b))> |
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))> |
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))> |
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))> |
#<alt (* -1/6 (* (pow a 3) (sin b)))> |
#<alt (* (pow a 3) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2))))> |
#<alt (* (pow a 3) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2))))> |
#<alt (* (pow a 3) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2))))> |
#<alt (* -1/6 (* (pow a 3) (sin b)))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (sin b) (pow a 2))) (* 1/6 (sin b)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (sin b) (pow a 2))) (* 1/6 (sin b)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (sin b) (pow a 2))) (* 1/6 (sin b)))))> |
#<alt (* a (* b (+ 1 (* -1/6 (pow a 2)))))> |
#<alt (* b (+ (* -1/6 (* a (* (pow b 2) (+ 1 (* -1/6 (pow a 2)))))) (* a (+ 1 (* -1/6 (pow a 2))))))> |
#<alt (* b (+ (* a (+ 1 (* -1/6 (pow a 2)))) (* (pow b 2) (+ (* -1/6 (* a (+ 1 (* -1/6 (pow a 2))))) (* 1/120 (* a (* (pow b 2) (+ 1 (* -1/6 (pow a 2))))))))))> |
#<alt (* b (+ (* a (+ 1 (* -1/6 (pow a 2)))) (* (pow b 2) (+ (* -1/6 (* a (+ 1 (* -1/6 (pow a 2))))) (* (pow b 2) (+ (* -1/5040 (* a (* (pow b 2) (+ 1 (* -1/6 (pow a 2)))))) (* 1/120 (* a (+ 1 (* -1/6 (pow a 2)))))))))))> |
#<alt (* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))> |
#<alt (* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))> |
#<alt (* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))> |
#<alt (* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))> |
#<alt (* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))> |
#<alt (* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))> |
#<alt (* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))> |
#<alt (* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))> |
144 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | inf | (/ (sin b) (+ (* (cos b) (cos a)) (neg (* a (* (+ (* -1/6 (* a a)) 1) (sin b)))))) |
| 2.0ms | r | @ | 0 | (* (/ r (cos (+ b a))) (+ (* (+ (* (* b b) 1/120) -1/6) (* b (* b b))) b)) |
| 2.0ms | b | @ | -inf | (* b (* b b)) |
| 2.0ms | r | @ | -inf | (/ 1 (* r (sin b))) |
| 1.0ms | r | @ | 0 | (* r (/ (sin b) (+ (* (cos b) (cos a)) (neg (* a (* (+ (* -1/6 (* a a)) 1) (sin b))))))) |
| 1× | batch-egg-rewrite |
| 4 950× | lower-fma.f32 |
| 4 942× | lower-fma.f64 |
| 4 656× | lower-*.f32 |
| 4 630× | lower-*.f64 |
| 4 332× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 207 |
| 0 | 69 | 178 |
| 1 | 233 | 176 |
| 2 | 1729 | 176 |
| 0 | 8544 | 176 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(*.f64 r b) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(*.f64 r (sin.f64 b)) |
(neg.f64 (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))) |
(sin.f64 b) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(*.f64 b (*.f64 b b)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) |
(*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))) |
(/.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) (neg.f64 (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))) |
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) |
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(/.f64 (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 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (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 #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 (neg.f64 (neg.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 (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 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) #s(literal 1 binary64))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal -1 binary64) (*.f64 r (sin.f64 b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))) |
(*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a))))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) |
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a))))))) |
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a))))))) |
(*.f64 (/.f64 r (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) |
(*.f64 (/.f64 r (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 r #s(literal 1 binary64))) |
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(neg.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 r) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (neg.f64 r)) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 (*.f64 r #s(literal 1 binary64)) (cos.f64 (+.f64 b a))) |
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 r))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a))))) |
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a))))))) |
(*.f64 (/.f64 r (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 r (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) |
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(+.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(+.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 1 binary64))) |
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(cos.f64 (+.f64 b a)) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a))))) (/.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a)))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 b a)))) |
(-.f64 (/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal 4 binary64))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #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 b) (cos.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) |
(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))))) |
(/.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) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a)))) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a)))) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.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 (cos.f64 b) (cos.f64 a)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))) |
(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 b a))) |
(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64)) |
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(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 b a))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a)))))) |
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(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (neg.f64 (cos.f64 (-.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (neg.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(/.f64 (-.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal -2 binary64)) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal -2 binary64))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (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 b a)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (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 b a)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))))) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b a)) (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 b a)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))))) |
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(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (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 b a)))))) #s(literal -4 binary64)) |
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(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal 2 binary64))) |
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(fma.f64 (*.f64 a (*.f64 a #s(literal -1/6 binary64))) (sin.f64 b) (*.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a (*.f64 a #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1 binary64))) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (sin.f64 b)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a (*.f64 a #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1 binary64)) (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/216 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a (*.f64 a #s(literal -1/6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (sin.f64 b))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a (*.f64 a #s(literal -1/6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1 binary64)) (sin.f64 b))) (neg.f64 (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 a #s(literal -1/6 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (*.f64 (sin.f64 b) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 a #s(literal -1/6 binary64)))) (*.f64 (sin.f64 b) (*.f64 a (*.f64 a #s(literal -1/6 binary64))))) (*.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (*.f64 (sin.f64 b) (*.f64 a (*.f64 a #s(literal -1/6 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 a #s(literal -1/6 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 a #s(literal -1/6 binary64)))) (*.f64 (sin.f64 b) (*.f64 a (*.f64 a #s(literal -1/6 binary64)))) (-.f64 (*.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (*.f64 (sin.f64 b) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 a #s(literal -1/6 binary64)))) (*.f64 (sin.f64 b) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a (*.f64 a #s(literal -1/6 binary64))) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 #s(literal 1 binary64) (sin.f64 b)) (-.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a #s(literal -1/6 binary64))) (sin.f64 b)) (*.f64 (*.f64 a (*.f64 a #s(literal -1/6 binary64))) (sin.f64 b))) (*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 (*.f64 a (*.f64 a #s(literal -1/6 binary64))) (sin.f64 b)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a (*.f64 a #s(literal -1/6 binary64))) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a (*.f64 a #s(literal -1/6 binary64))) (sin.f64 b)) (*.f64 (*.f64 a (*.f64 a #s(literal -1/6 binary64))) (sin.f64 b)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 #s(literal 1 binary64) (sin.f64 b))) (*.f64 (*.f64 (*.f64 a (*.f64 a #s(literal -1/6 binary64))) (sin.f64 b)) (*.f64 #s(literal 1 binary64) (sin.f64 b)))))) |
(*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 b)) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/6 binary64)))) |
(+.f64 (*.f64 a (*.f64 a #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/6 binary64))))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/6 binary64)))))) |
(fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 a (*.f64 a #s(literal -1/6 binary64))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 a #s(literal -1/6 binary64)) a #s(literal 1 binary64)) |
(fma.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 a #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a (*.f64 a #s(literal -1/6 binary64)))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/216 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a (*.f64 a #s(literal -1/6 binary64)))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/216 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a (*.f64 a #s(literal -1/6 binary64))))) |
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 a (*.f64 a #s(literal -1/6 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a (*.f64 a #s(literal -1/6 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 a (*.f64 a #s(literal -1/6 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1 binary64))) (neg.f64 (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/6 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal -1/6 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/216 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a (*.f64 a #s(literal -1/6 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64))))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a (*.f64 a #s(literal -1/6 binary64)))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/216 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a (*.f64 a #s(literal -1/6 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 a (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 b) (*.f64 a (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) a)) |
(*.f64 (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64))) a) |
(*.f64 (*.f64 a (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64))) (sin.f64 b)) |
(*.f64 (*.f64 a (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 9 898× | lower-fma.f64 |
| 9 898× | lower-fma.f32 |
| 8 168× | lower-*.f64 |
| 8 168× | lower-*.f32 |
| 3 528× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 712 | 8553 |
| 1 | 2393 | 8092 |
| 0 | 8392 | 7716 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (cos a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
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(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
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(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(cos a) |
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(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
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(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
(cos b) |
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(- (* (cos a) (cos b)) (* (sin a) (sin b))) |
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(* (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)) |
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(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* b r) |
(* b r) |
(* b r) |
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(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
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(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos (+ a b))) |
(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos (+ a b))) |
(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos (+ a b))) |
(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos (+ a b))) |
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(* 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)))) |
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(* (pow b 5) (+ (* -1/6 (/ r (* (pow b 2) (cos (+ a b))))) (* 1/120 (/ r (cos (+ a b)))))) |
(* (pow b 5) (+ (* -1/6 (/ r (* (pow b 2) (cos (+ a b))))) (+ (* 1/120 (/ r (cos (+ a b)))) (/ r (* (pow b 4) (cos (+ a b))))))) |
(* (pow b 5) (+ (* -1/6 (/ r (* (pow b 2) (cos (+ a b))))) (+ (* 1/120 (/ r (cos (+ a b)))) (/ r (* (pow b 4) (cos (+ a b))))))) |
(* 1/120 (/ (* (pow b 5) r) (cos (- a (* -1 b))))) |
(* -1 (* (pow b 5) (+ (* -1/120 (/ r (cos (- a (* -1 b))))) (* 1/6 (/ r (* (pow b 2) (cos (- a (* -1 b))))))))) |
(* -1 (* (pow b 5) (+ (* -1 (/ r (* (pow b 4) (cos (- a (* -1 b)))))) (+ (* -1/120 (/ r (cos (- a (* -1 b))))) (* 1/6 (/ r (* (pow b 2) (cos (- a (* -1 b)))))))))) |
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(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)) |
(+ (/ (* a (* r (* (sin b) (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))))) (pow (cos b) 2)) (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b))) |
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(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 3))) (* -1/2 (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 3))) (* -1/2 (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)))))) (* -1 (/ (* r (* (sin b) (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6))))) (pow (cos b) 2))))) (/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b))) |
(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos (+ a b))) |
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(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(cos a) |
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(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) |
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(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))) |
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a |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(/ (* r (sin b)) (cos (+ a b))) |
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(* 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)))) |
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(/ (cos (+ a b)) (* r (sin b))) |
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(/ (+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r)) b) |
(/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b) |
(/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (+ (* -1/2 (/ (cos a) r)) (* (pow b 2) (- (* 1/24 (/ (cos a) r)) (+ (* -1/6 (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (* 1/120 (/ (cos a) r)))))) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b) |
(/ (cos (+ a b)) (* r (sin b))) |
(/ (cos (+ a b)) (* r (sin b))) |
(/ (cos (+ a b)) (* r (sin b))) |
(/ (cos (+ a b)) (* r (sin b))) |
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(/ (cos (- a (* -1 b))) (* r (sin b))) |
(/ (cos b) (* r (sin b))) |
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(/ 1 (* r (sin b))) |
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(/ 1 (* b r)) |
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b) |
(/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b) |
(/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(* 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 (* a (sin b))) |
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(* a (- (* 1/6 (* (pow a 2) (sin b))) (sin b))) |
(* 1/6 (* (pow a 3) (sin b))) |
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(* (pow a 3) (- (* -1 (/ (sin b) (pow a 2))) (* -1/6 (sin b)))) |
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(* -1 (* a (* b (+ 1 (* -1/6 (pow a 2)))))) |
(* b (- (* 1/6 (* a (* (pow b 2) (+ 1 (* -1/6 (pow a 2)))))) (* a (+ 1 (* -1/6 (pow a 2)))))) |
(* b (- (* (pow b 2) (- (* -1/120 (* a (* (pow b 2) (+ 1 (* -1/6 (pow a 2)))))) (* -1/6 (* a (+ 1 (* -1/6 (pow a 2))))))) (* a (+ 1 (* -1/6 (pow a 2)))))) |
(* b (- (* (pow b 2) (- (* (pow b 2) (- (* 1/5040 (* a (* (pow b 2) (+ 1 (* -1/6 (pow a 2)))))) (* 1/120 (* a (+ 1 (* -1/6 (pow a 2))))))) (* -1/6 (* a (+ 1 (* -1/6 (pow a 2))))))) (* a (+ 1 (* -1/6 (pow a 2)))))) |
(* -1 (* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))) |
(* -1 (* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))) |
(* -1 (* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))) |
(* -1 (* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))) |
(* -1 (* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))) |
(* -1 (* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))) |
(* -1 (* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))) |
(* -1 (* a (* (sin b) (+ 1 (* -1/6 (pow a 2)))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* a (* b (* r (+ 1 (* -1/6 (pow a 2)))))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* (pow a 2) (* r (pow (+ 1 (* -1/6 (pow a 2))) 2))) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* a (* r (+ 1 (* -1/6 (pow a 2))))) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* a (* (+ 1 (* -1/6 (pow a 2))) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* (pow a 2) (* r (pow (+ 1 (* -1/6 (pow a 2))) 2))) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))))) (cos a))) (+ (* -1/2 (/ (* a (* r (+ 1 (* -1/6 (pow a 2))))) (pow (cos a) 2))) (* 1/6 (/ (* a (* r (+ 1 (* -1/6 (pow a 2))))) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* (pow a 2) (* r (pow (+ 1 (* -1/6 (pow a 2))) 2))) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* a (* r (+ 1 (* -1/6 (pow a 2))))) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/ (* 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))) |
(* 6 (/ r (pow a 3))) |
(/ (+ (* 6 r) (* 36 (/ r (pow a 2)))) (pow a 3)) |
(/ (- (+ (* -36 (/ (* r (* (cos a) (cos b))) (* (pow a 3) (sin b)))) (* 6 r)) (* -36 (/ r (pow a 2)))) (pow a 3)) |
(/ (- (+ (* 6 r) (* 216 (/ r (pow a 4)))) (+ (* -36 (/ r (pow a 2))) (* 36 (/ (* r (* (cos a) (cos b))) (* (pow a 3) (sin b)))))) (pow a 3)) |
(* 6 (/ r (pow a 3))) |
(* -1 (/ (+ (* -36 (/ r (pow a 2))) (* -6 r)) (pow a 3))) |
(* -1 (/ (- (+ (* -6 r) (* 36 (/ (* r (* (cos a) (cos b))) (* (pow a 3) (sin b))))) (* 36 (/ r (pow a 2)))) (pow a 3))) |
(* -1 (/ (- (+ (* -6 r) (* -1 (/ (- (* 216 (/ r a)) (* 36 (/ (* r (* (cos a) (cos b))) (sin b)))) (pow a 3)))) (* 36 (/ r (pow a 2)))) (pow a 3))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* a (* b (+ 1 (* -1/6 (pow a 2))))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (* (pow a 2) (pow (+ 1 (* -1/6 (pow a 2))) 2)) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (* a (+ 1 (* -1/6 (pow a 2)))) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* a (* (+ 1 (* -1/6 (pow a 2))) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (* (pow a 2) (pow (+ 1 (* -1/6 (pow a 2))) 2)) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a))))))) (cos a))) (+ (* -1/2 (/ (* a (+ 1 (* -1/6 (pow a 2)))) (pow (cos a) 2))) (* 1/6 (/ (* a (+ 1 (* -1/6 (pow a 2)))) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (* (pow a 2) (pow (+ 1 (* -1/6 (pow a 2))) 2)) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (* a (+ 1 (* -1/6 (pow a 2)))) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/ (sin b) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/ (sin b) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/ (sin b) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/ (sin b) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/ (sin b) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/ (sin b) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/ (sin b) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/ (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))) |
(/ 6 (pow a 3)) |
(/ (+ 6 (* 36 (/ 1 (pow a 2)))) (pow a 3)) |
(/ (+ 6 (+ (* -36 (/ (* (cos a) (cos b)) (* (pow a 3) (sin b)))) (* 36 (/ 1 (pow a 2))))) (pow a 3)) |
(/ (- (+ 6 (+ (* 36 (/ 1 (pow a 2))) (* 216 (/ 1 (pow a 4))))) (* 36 (/ (* (cos a) (cos b)) (* (pow a 3) (sin b))))) (pow a 3)) |
(/ 6 (pow a 3)) |
(/ (+ 6 (* 36 (/ 1 (pow a 2)))) (pow a 3)) |
(* -1 (/ (- (* 36 (/ (* (cos a) (cos b)) (* (pow a 3) (sin b)))) (+ 6 (* 36 (/ 1 (pow a 2))))) (pow a 3))) |
(* -1 (/ (- (* -1 (/ (- (* 216 (/ 1 a)) (* 36 (/ (* (cos a) (cos b)) (sin b)))) (pow a 3))) (+ 6 (* 36 (/ 1 (pow a 2))))) (pow a 3))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(* b (sin a)) |
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a)))))))) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* a (sin b)) |
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(* (sin a) (sin b)) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(sin b) |
(+ (sin b) (* -1/6 (* (pow a 2) (sin b)))) |
(+ (sin b) (* -1/6 (* (pow a 2) (sin b)))) |
(+ (sin b) (* -1/6 (* (pow a 2) (sin b)))) |
(* -1/6 (* (pow a 2) (sin b))) |
(* (pow a 2) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2)))) |
(* (pow a 2) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2)))) |
(* (pow a 2) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2)))) |
(* -1/6 (* (pow a 2) (sin b))) |
(* (pow a 2) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2)))) |
(* (pow a 2) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2)))) |
(* (pow a 2) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2)))) |
(* b (+ 1 (* -1/6 (pow a 2)))) |
(* b (+ 1 (+ (* -1/6 (* (pow b 2) (+ 1 (* -1/6 (pow a 2))))) (* -1/6 (pow a 2))))) |
(* b (+ 1 (+ (* -1/6 (pow a 2)) (* (pow b 2) (+ (* -1/6 (+ 1 (* -1/6 (pow a 2)))) (* 1/120 (* (pow b 2) (+ 1 (* -1/6 (pow a 2)))))))))) |
(* b (+ 1 (+ (* -1/6 (pow a 2)) (* (pow b 2) (+ (* -1/6 (+ 1 (* -1/6 (pow a 2)))) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (+ 1 (* -1/6 (pow a 2))))) (* 1/120 (+ 1 (* -1/6 (pow a 2))))))))))) |
(* (sin b) (+ 1 (* -1/6 (pow a 2)))) |
(* (sin b) (+ 1 (* -1/6 (pow a 2)))) |
(* (sin b) (+ 1 (* -1/6 (pow a 2)))) |
(* (sin b) (+ 1 (* -1/6 (pow a 2)))) |
(* (sin b) (+ 1 (* -1/6 (pow a 2)))) |
(* (sin b) (+ 1 (* -1/6 (pow a 2)))) |
(* (sin b) (+ 1 (* -1/6 (pow a 2)))) |
(* (sin b) (+ 1 (* -1/6 (pow a 2)))) |
1 |
(+ 1 (* -1/6 (pow a 2))) |
(+ 1 (* -1/6 (pow a 2))) |
(+ 1 (* -1/6 (pow a 2))) |
(* -1/6 (pow a 2)) |
(* (pow a 2) (- (/ 1 (pow a 2)) 1/6)) |
(* (pow a 2) (- (/ 1 (pow a 2)) 1/6)) |
(* (pow a 2) (- (/ 1 (pow a 2)) 1/6)) |
(* -1/6 (pow a 2)) |
(* (pow a 2) (- (/ 1 (pow a 2)) 1/6)) |
(* (pow a 2) (- (/ 1 (pow a 2)) 1/6)) |
(* (pow a 2) (- (/ 1 (pow a 2)) 1/6)) |
(* a (sin b)) |
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) |
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) |
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) |
(* -1/6 (* (pow a 3) (sin b))) |
(* (pow a 3) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2)))) |
(* (pow a 3) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2)))) |
(* (pow a 3) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2)))) |
(* -1/6 (* (pow a 3) (sin b))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (sin b) (pow a 2))) (* 1/6 (sin b))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (sin b) (pow a 2))) (* 1/6 (sin b))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (sin b) (pow a 2))) (* 1/6 (sin b))))) |
(* a (* b (+ 1 (* -1/6 (pow a 2))))) |
(* b (+ (* -1/6 (* a (* (pow b 2) (+ 1 (* -1/6 (pow a 2)))))) (* a (+ 1 (* -1/6 (pow a 2)))))) |
(* b (+ (* a (+ 1 (* -1/6 (pow a 2)))) (* (pow b 2) (+ (* -1/6 (* a (+ 1 (* -1/6 (pow a 2))))) (* 1/120 (* a (* (pow b 2) (+ 1 (* -1/6 (pow a 2)))))))))) |
(* b (+ (* a (+ 1 (* -1/6 (pow a 2)))) (* (pow b 2) (+ (* -1/6 (* a (+ 1 (* -1/6 (pow a 2))))) (* (pow b 2) (+ (* -1/5040 (* a (* (pow b 2) (+ 1 (* -1/6 (pow a 2)))))) (* 1/120 (* a (+ 1 (* -1/6 (pow a 2))))))))))) |
(* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))) |
(* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))) |
(* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))) |
(* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))) |
(* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))) |
(* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))) |
(* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))) |
(* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))) |
| Outputs |
|---|
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* b r) (cos a)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (fma.f64 (*.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.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 r (cos.f64 a)) #s(literal -1/6 binary64) (fma.f64 (fma.f64 r (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (/.f64 (*.f64 (neg.f64 (sin.f64 a)) (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.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) (neg.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) r) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
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b |
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(* -1 (* b (- (* -1 (/ a b)) 1))) |
(fma.f64 (neg.f64 b) (/.f64 a (neg.f64 b)) b) |
b |
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a |
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(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a (*.f64 a #s(literal -1/6 binary64))) a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
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(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a (*.f64 a #s(literal -1/6 binary64))) a)))) |
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(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a (*.f64 a #s(literal -1/6 binary64))) a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
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(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
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(/ (* 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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(* 6 (/ r (pow a 3))) |
(/.f64 (*.f64 r #s(literal 6 binary64)) (*.f64 a (*.f64 a a))) |
(/ (+ (* 6 r) (* 36 (/ r (pow a 2)))) (pow a 3)) |
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(/ (- (+ (* -36 (/ (* r (* (cos a) (cos b))) (* (pow a 3) (sin b)))) (* 6 r)) (* -36 (/ r (pow a 2)))) (pow a 3)) |
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(/ (- (+ (* 6 r) (* 216 (/ r (pow a 4)))) (+ (* -36 (/ r (pow a 2))) (* 36 (/ (* r (* (cos a) (cos b))) (* (pow a 3) (sin b)))))) (pow a 3)) |
(/.f64 (-.f64 (fma.f64 #s(literal 216 binary64) (/.f64 r (pow.f64 a #s(literal 4 binary64))) (*.f64 r #s(literal 6 binary64))) (*.f64 #s(literal 36 binary64) (-.f64 (/.f64 (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) r)) (*.f64 a (*.f64 a (*.f64 (sin.f64 b) a)))) (/.f64 r (*.f64 a a))))) (*.f64 a (*.f64 a a))) |
(* 6 (/ r (pow a 3))) |
(/.f64 (*.f64 r #s(literal 6 binary64)) (*.f64 a (*.f64 a a))) |
(* -1 (/ (+ (* -36 (/ r (pow a 2))) (* -6 r)) (pow a 3))) |
(/.f64 (fma.f64 (/.f64 r (*.f64 a a)) #s(literal -36 binary64) (*.f64 r #s(literal -6 binary64))) (neg.f64 (*.f64 a (*.f64 a a)))) |
(* -1 (/ (- (+ (* -6 r) (* 36 (/ (* r (* (cos a) (cos b))) (* (pow a 3) (sin b))))) (* 36 (/ r (pow a 2)))) (pow a 3))) |
(/.f64 (fma.f64 r #s(literal -6 binary64) (*.f64 #s(literal 36 binary64) (-.f64 (/.f64 (*.f64 (cos.f64 a) (*.f64 (cos.f64 b) r)) (*.f64 a (*.f64 a (*.f64 (sin.f64 b) a)))) (/.f64 r (*.f64 a a))))) (neg.f64 (*.f64 a (*.f64 a a)))) |
(* -1 (/ (- (+ (* -6 r) (* -1 (/ (- (* 216 (/ r a)) (* 36 (/ (* r (* (cos a) (cos b))) (sin b)))) (pow a 3)))) (* 36 (/ r (pow a 2)))) (pow a 3))) |
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(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* a (* b (+ 1 (* -1/6 (pow a 2))))) (pow (cos a) 2)))) |
(fma.f64 b (/.f64 (*.f64 a (fma.f64 b (*.f64 a (*.f64 a #s(literal -1/6 binary64))) b)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (* (pow a 2) (pow (+ 1 (* -1/6 (pow a 2))) 2)) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (* a (+ 1 (* -1/6 (pow a 2)))) (pow (cos a) 2))))) (/ 1 (cos a)))) |
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(/ (sin b) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
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(/ (sin b) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
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(/ (sin b) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a (*.f64 a #s(literal -1/6 binary64))) a)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a (*.f64 a #s(literal -1/6 binary64))) a)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a (*.f64 a #s(literal -1/6 binary64))) a)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
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(/ (sin b) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a (*.f64 a #s(literal -1/6 binary64))) a)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a (*.f64 a #s(literal -1/6 binary64))) a)))) |
(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(fma.f64 a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* -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))) |
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(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(fma.f64 a (fma.f64 a (neg.f64 (fma.f64 a (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (*.f64 (sin.f64 b) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (cos.f64 b))) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(/ 6 (pow a 3)) |
(/.f64 #s(literal 6 binary64) (*.f64 a (*.f64 a a))) |
(/ (+ 6 (* 36 (/ 1 (pow a 2)))) (pow a 3)) |
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 a a))) (*.f64 a (*.f64 a a))) |
(/ (+ 6 (+ (* -36 (/ (* (cos a) (cos b)) (* (pow a 3) (sin b)))) (* 36 (/ 1 (pow a 2))))) (pow a 3)) |
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(/ (- (+ 6 (+ (* 36 (/ 1 (pow a 2))) (* 216 (/ 1 (pow a 4))))) (* 36 (/ (* (cos a) (cos b)) (* (pow a 3) (sin b))))) (pow a 3)) |
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 36 binary64) (*.f64 a a)) (/.f64 #s(literal 216 binary64) (pow.f64 a #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 #s(literal -36 binary64) (cos.f64 a)) (cos.f64 b)) (*.f64 a (*.f64 a (*.f64 (sin.f64 b) a))))) (*.f64 a (*.f64 a a))) |
(/ 6 (pow a 3)) |
(/.f64 #s(literal 6 binary64) (*.f64 a (*.f64 a a))) |
(/ (+ 6 (* 36 (/ 1 (pow a 2)))) (pow a 3)) |
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 a a))) (*.f64 a (*.f64 a a))) |
(* -1 (/ (- (* 36 (/ (* (cos a) (cos b)) (* (pow a 3) (sin b)))) (+ 6 (* 36 (/ 1 (pow a 2))))) (pow a 3))) |
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(* -1 (/ (- (* -1 (/ (- (* 216 (/ 1 a)) (* 36 (/ (* (cos a) (cos b)) (sin b)))) (pow a 3))) (+ 6 (* 36 (/ 1 (pow a 2))))) (pow a 3))) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 216 binary64) a) (*.f64 (*.f64 #s(literal -36 binary64) (cos.f64 a)) (/.f64 (cos.f64 b) (sin.f64 b)))) (neg.f64 (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 a a)))) (neg.f64 (*.f64 a (*.f64 a a)))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 b (*.f64 (*.f64 #s(literal -1/6 binary64) b) b) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(fma.f64 (*.f64 b b) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) b) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(fma.f64 (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) 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) |
(* b (sin a)) |
(*.f64 b (sin.f64 a)) |
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a))))) |
(*.f64 b (*.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 a))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a))))))) |
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (sin.f64 a))) |
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a)))))))) |
(*.f64 b (fma.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 a) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (*.f64 b b) (*.f64 b b))))) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) |
(*.f64 (sin.f64 b) (fma.f64 a (*.f64 a (*.f64 a #s(literal -1/6 binary64))) a)) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b))))))) |
(*.f64 a (fma.f64 (*.f64 a a) (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal -1/6 binary64))) (sin.f64 b))) |
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b)))))))) |
(*.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 (sin.f64 b) (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64))))))) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(* (sin a) (sin b)) |
(*.f64 (sin.f64 b) (sin.f64 a)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(sin b) |
(sin.f64 b) |
(+ (sin b) (* -1/6 (* (pow a 2) (sin b)))) |
(*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(+ (sin b) (* -1/6 (* (pow a 2) (sin b)))) |
(*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(+ (sin b) (* -1/6 (* (pow a 2) (sin b)))) |
(*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* -1/6 (* (pow a 2) (sin b))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (sin.f64 b) a))) |
(* (pow a 2) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2)))) |
(*.f64 (*.f64 a a) (fma.f64 (sin.f64 b) #s(literal -1/6 binary64) (/.f64 (sin.f64 b) (*.f64 a a)))) |
(* (pow a 2) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2)))) |
(*.f64 (*.f64 a a) (fma.f64 (sin.f64 b) #s(literal -1/6 binary64) (/.f64 (sin.f64 b) (*.f64 a a)))) |
(* (pow a 2) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2)))) |
(*.f64 (*.f64 a a) (fma.f64 (sin.f64 b) #s(literal -1/6 binary64) (/.f64 (sin.f64 b) (*.f64 a a)))) |
(* -1/6 (* (pow a 2) (sin b))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (sin.f64 b) a))) |
(* (pow a 2) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2)))) |
(*.f64 (*.f64 a a) (fma.f64 (sin.f64 b) #s(literal -1/6 binary64) (/.f64 (sin.f64 b) (*.f64 a a)))) |
(* (pow a 2) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2)))) |
(*.f64 (*.f64 a a) (fma.f64 (sin.f64 b) #s(literal -1/6 binary64) (/.f64 (sin.f64 b) (*.f64 a a)))) |
(* (pow a 2) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2)))) |
(*.f64 (*.f64 a a) (fma.f64 (sin.f64 b) #s(literal -1/6 binary64) (/.f64 (sin.f64 b) (*.f64 a a)))) |
(* b (+ 1 (* -1/6 (pow a 2)))) |
(fma.f64 b (*.f64 a (*.f64 a #s(literal -1/6 binary64))) b) |
(* b (+ 1 (+ (* -1/6 (* (pow b 2) (+ 1 (* -1/6 (pow a 2))))) (* -1/6 (pow a 2))))) |
(fma.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/6 binary64))) (*.f64 a (*.f64 a #s(literal -1/6 binary64)))) b) |
(* b (+ 1 (+ (* -1/6 (pow a 2)) (* (pow b 2) (+ (* -1/6 (+ 1 (* -1/6 (pow a 2)))) (* 1/120 (* (pow b 2) (+ 1 (* -1/6 (pow a 2)))))))))) |
(fma.f64 b (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 b b) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) b) |
(* b (+ 1 (+ (* -1/6 (pow a 2)) (* (pow b 2) (+ (* -1/6 (+ 1 (* -1/6 (pow a 2)))) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (+ 1 (* -1/6 (pow a 2))))) (* 1/120 (+ 1 (* -1/6 (pow a 2))))))))))) |
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/6 binary64))) (*.f64 a (*.f64 a #s(literal -1/6 binary64)))) b) |
(* (sin b) (+ 1 (* -1/6 (pow a 2)))) |
(*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* (sin b) (+ 1 (* -1/6 (pow a 2)))) |
(*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* (sin b) (+ 1 (* -1/6 (pow a 2)))) |
(*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* (sin b) (+ 1 (* -1/6 (pow a 2)))) |
(*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* (sin b) (+ 1 (* -1/6 (pow a 2)))) |
(*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* (sin b) (+ 1 (* -1/6 (pow a 2)))) |
(*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* (sin b) (+ 1 (* -1/6 (pow a 2)))) |
(*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* (sin b) (+ 1 (* -1/6 (pow a 2)))) |
(*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow a 2))) |
(fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow a 2))) |
(fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow a 2))) |
(fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(* -1/6 (pow a 2)) |
(*.f64 a (*.f64 a #s(literal -1/6 binary64))) |
(* (pow a 2) (- (/ 1 (pow a 2)) 1/6)) |
(*.f64 a (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal -1/6 binary64)))) |
(* (pow a 2) (- (/ 1 (pow a 2)) 1/6)) |
(*.f64 a (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal -1/6 binary64)))) |
(* (pow a 2) (- (/ 1 (pow a 2)) 1/6)) |
(*.f64 a (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal -1/6 binary64)))) |
(* -1/6 (pow a 2)) |
(*.f64 a (*.f64 a #s(literal -1/6 binary64))) |
(* (pow a 2) (- (/ 1 (pow a 2)) 1/6)) |
(*.f64 a (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal -1/6 binary64)))) |
(* (pow a 2) (- (/ 1 (pow a 2)) 1/6)) |
(*.f64 a (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal -1/6 binary64)))) |
(* (pow a 2) (- (/ 1 (pow a 2)) 1/6)) |
(*.f64 a (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal -1/6 binary64)))) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) |
(*.f64 (sin.f64 b) (fma.f64 a (*.f64 a (*.f64 a #s(literal -1/6 binary64))) a)) |
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) |
(*.f64 (sin.f64 b) (fma.f64 a (*.f64 a (*.f64 a #s(literal -1/6 binary64))) a)) |
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b))))) |
(*.f64 (sin.f64 b) (fma.f64 a (*.f64 a (*.f64 a #s(literal -1/6 binary64))) a)) |
(* -1/6 (* (pow a 3) (sin b))) |
(*.f64 a (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (sin.f64 b) a)))) |
(* (pow a 3) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2)))) |
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 (sin.f64 b) #s(literal -1/6 binary64) (/.f64 (sin.f64 b) (*.f64 a a)))) |
(* (pow a 3) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2)))) |
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 (sin.f64 b) #s(literal -1/6 binary64) (/.f64 (sin.f64 b) (*.f64 a a)))) |
(* (pow a 3) (+ (* -1/6 (sin b)) (/ (sin b) (pow a 2)))) |
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 (sin.f64 b) #s(literal -1/6 binary64) (/.f64 (sin.f64 b) (*.f64 a a)))) |
(* -1/6 (* (pow a 3) (sin b))) |
(*.f64 a (*.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (sin.f64 b) a)))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (sin b) (pow a 2))) (* 1/6 (sin b))))) |
(*.f64 (-.f64 (*.f64 (sin.f64 b) #s(literal 1/6 binary64)) (/.f64 (sin.f64 b) (*.f64 a a))) (neg.f64 (*.f64 a (*.f64 a a)))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (sin b) (pow a 2))) (* 1/6 (sin b))))) |
(*.f64 (-.f64 (*.f64 (sin.f64 b) #s(literal 1/6 binary64)) (/.f64 (sin.f64 b) (*.f64 a a))) (neg.f64 (*.f64 a (*.f64 a a)))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (sin b) (pow a 2))) (* 1/6 (sin b))))) |
(*.f64 (-.f64 (*.f64 (sin.f64 b) #s(literal 1/6 binary64)) (/.f64 (sin.f64 b) (*.f64 a a))) (neg.f64 (*.f64 a (*.f64 a a)))) |
(* a (* b (+ 1 (* -1/6 (pow a 2))))) |
(*.f64 a (fma.f64 b (*.f64 a (*.f64 a #s(literal -1/6 binary64))) b)) |
(* b (+ (* -1/6 (* a (* (pow b 2) (+ 1 (* -1/6 (pow a 2)))))) (* a (+ 1 (* -1/6 (pow a 2)))))) |
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/6 binary64))) (fma.f64 a (*.f64 a (*.f64 a #s(literal -1/6 binary64))) a))) |
(* b (+ (* a (+ 1 (* -1/6 (pow a 2)))) (* (pow b 2) (+ (* -1/6 (* a (+ 1 (* -1/6 (pow a 2))))) (* 1/120 (* a (* (pow b 2) (+ 1 (* -1/6 (pow a 2)))))))))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 a (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/120 binary64)))) (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/6 binary64)))) (fma.f64 a (*.f64 a (*.f64 a #s(literal -1/6 binary64))) a))) |
(* b (+ (* a (+ 1 (* -1/6 (pow a 2)))) (* (pow b 2) (+ (* -1/6 (* a (+ 1 (* -1/6 (pow a 2))))) (* (pow b 2) (+ (* -1/5040 (* a (* (pow b 2) (+ 1 (* -1/6 (pow a 2)))))) (* 1/120 (* a (+ 1 (* -1/6 (pow a 2))))))))))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) #s(literal -1/5040 binary64))) (*.f64 a (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/120 binary64)))) (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/36 binary64) #s(literal -1/6 binary64)))) (fma.f64 a (*.f64 a (*.f64 a #s(literal -1/6 binary64))) a))) |
(* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))) |
(*.f64 (sin.f64 b) (fma.f64 a (*.f64 a (*.f64 a #s(literal -1/6 binary64))) a)) |
(* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))) |
(*.f64 (sin.f64 b) (fma.f64 a (*.f64 a (*.f64 a #s(literal -1/6 binary64))) a)) |
(* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))) |
(*.f64 (sin.f64 b) (fma.f64 a (*.f64 a (*.f64 a #s(literal -1/6 binary64))) a)) |
(* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))) |
(*.f64 (sin.f64 b) (fma.f64 a (*.f64 a (*.f64 a #s(literal -1/6 binary64))) a)) |
(* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))) |
(*.f64 (sin.f64 b) (fma.f64 a (*.f64 a (*.f64 a #s(literal -1/6 binary64))) a)) |
(* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))) |
(*.f64 (sin.f64 b) (fma.f64 a (*.f64 a (*.f64 a #s(literal -1/6 binary64))) a)) |
(* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))) |
(*.f64 (sin.f64 b) (fma.f64 a (*.f64 a (*.f64 a #s(literal -1/6 binary64))) a)) |
(* a (* (sin b) (+ 1 (* -1/6 (pow a 2))))) |
(*.f64 (sin.f64 b) (fma.f64 a (*.f64 a (*.f64 a #s(literal -1/6 binary64))) a)) |
Compiled 50 142 to 3 837 computations (92.3% saved)
89 alts after pruning (83 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 698 | 23 | 1 721 |
| Fresh | 8 | 60 | 68 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 708 | 89 | 1 797 |
| Status | Accuracy | Program |
|---|---|---|
| 44.0% | (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 78.8% | (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 34.2% | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) b) (fma.f64 b (*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 b))) r) (*.f64 (fma.f64 b (*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 b)) (cos.f64 (+.f64 b a)))) | |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) | |
| 78.9% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) | |
| 61.3% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) | |
| 34.1% | (/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 53.4% | (/.f64 (*.f64 r b) (cos.f64 a)) | |
| 8.8% | (/.f64 (*.f64 r #s(literal 6 binary64)) (*.f64 a (*.f64 a a))) | |
| 78.8% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 53.4% | (/.f64 b (/.f64 (cos.f64 a) r)) | |
| 98.7% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 r (sin.f64 b)))) | |
| 53.6% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (fma.f64 (/.f64 (cos.f64 a) r) (*.f64 #s(literal -1/3 binary64) b) (neg.f64 (/.f64 (sin.f64 a) r))) (/.f64 (cos.f64 a) r)) b)) | |
| 85.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))))) (*.f64 r (sin.f64 b)))) | |
| 97.7% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))) (*.f64 r (sin.f64 b)))) | |
| 54.7% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 b (sin.f64 a)) r)) b)) | |
| 54.2% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) (*.f64 r (sin.f64 b)))) | |
| 64.1% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 a (/.f64 b a) a)) (*.f64 r (sin.f64 b)))) | |
| 52.2% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))) | |
| 52.6% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r b))) | |
| 60.8% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b)))) | |
| 56.1% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) | |
| 52.7% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) | |
| 98.7% | (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) r) (/.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b)) r))) | |
| 98.6% | (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r) (sin.f64 b)) (/.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r) (sin.f64 b)))) | |
| 91.2% | (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 r (sin.f64 b))) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 r (sin.f64 b))))) | |
| 56.6% | (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b))) (/.f64 a r))) | |
| 34.1% | (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) (cos.f64 (+.f64 b a)))) | |
| 52.9% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b) (cos.f64 (+.f64 b a)))) | |
| 98.7% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| ▶ | 60.8% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b))) |
| 56.1% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 a))) | |
| 41.2% | (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) (cos.f64 (+.f64 b a)))) | |
| ▶ | 28.7% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
| ▶ | 99.5% | (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) |
| 53.0% | (*.f64 (/.f64 r (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) | |
| 98.5% | (*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))) (sin.f64 b)) | |
| 98.5% | (*.f64 (/.f64 r (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))) (sin.f64 b)) | |
| 54.4% | (*.f64 (/.f64 r (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) | |
| 53.8% | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (fma.f64 (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b)) | |
| 53.8% | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (fma.f64 b (*.f64 (*.f64 #s(literal -1/6 binary64) b) b) b)) | |
| ✓ | 99.5% | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
| 68.3% | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a))) (sin.f64 b)) | |
| 62.4% | (*.f64 (/.f64 r (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) | |
| 34.4% | (*.f64 (/.f64 r (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) | |
| 59.0% | (*.f64 (/.f64 r (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (sin.f64 b)) | |
| 57.8% | (*.f64 (/.f64 r (-.f64 (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) | |
| 53.2% | (*.f64 (/.f64 r (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) | |
| 64.8% | (*.f64 (/.f64 r (cos.f64 (fma.f64 a (/.f64 b a) a))) (sin.f64 b)) | |
| 70.1% | (*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b)) | |
| 52.9% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) | |
| 52.6% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 (*.f64 b b) #s(literal 3/2 binary64)) b)) | |
| 53.0% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) | |
| 31.6% | (*.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))))) (sin.f64 b)) | |
| ▶ | 35.6% | (*.f64 (/.f64 r (cos.f64 b)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
| 61.3% | (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) | |
| 56.8% | (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) | |
| 53.3% | (*.f64 (/.f64 b (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) | |
| 78.8% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) | |
| 53.2% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) | |
| 78.9% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) | |
| 53.4% | (*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 a))) | |
| 38.0% | (*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) | |
| 54.1% | (*.f64 r (/.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| 8.7% | (*.f64 r (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 a a))) (*.f64 a (*.f64 a a)))) | |
| 58.8% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| 58.7% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| 58.6% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| ✓ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
| ▶ | 68.3% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a))))) |
| ✓ | 60.8% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))))) |
| 28.9% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (fma.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 35.0% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| ✓ | 58.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) |
| 58.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (*.f64 a #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))) | |
| 35.9% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 98.5% | (*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))) | |
| 61.3% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) | |
| 56.8% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) | |
| 34.2% | (*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 53.4% | (*.f64 r (/.f64 b (cos.f64 a))) | |
| 8.8% | (*.f64 r (/.f64 #s(literal 6 binary64) (*.f64 a (*.f64 a a)))) | |
| 78.8% | (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) | |
| ✓ | 35.6% | (*.f64 r b) |
| 33.9% | (*.f64 b (fma.f64 a (/.f64 (*.f64 r b) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 34.1% | (*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 34.0% | (*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 34.2% | (*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 53.4% | (*.f64 b (/.f64 r (cos.f64 a))) |
Compiled 3 647 to 2 190 computations (40% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a))) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a)))) |
| ✓ | cost-diff | 0 | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a))))) |
| ✓ | cost-diff | 0 | (*.f64 r (sin.f64 b)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b)) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b))) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) |
| ✓ | cost-diff | 0 | (cos.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 r (cos.f64 b)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 r (cos.f64 b)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
| ✓ | 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 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
| ✓ | cost-diff | 0 | (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) |
| 6 648× | lower-fma.f32 |
| 6 638× | lower-fma.f64 |
| 4 524× | lower-*.f32 |
| 4 500× | lower-*.f64 |
| 2 256× | lower-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 234 |
| 0 | 67 | 228 |
| 1 | 126 | 222 |
| 2 | 246 | 222 |
| 3 | 645 | 222 |
| 4 | 1964 | 222 |
| 5 | 3919 | 222 |
| 6 | 6326 | 222 |
| 0 | 8268 | 222 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
r |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(sin.f64 b) |
b |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 a a) |
a |
#s(literal 1 binary64) |
(*.f64 r b) |
r |
b |
(*.f64 (/.f64 r (cos.f64 b)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 r (cos.f64 b)) |
r |
(cos.f64 b) |
b |
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) |
(fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(*.f64 b b) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 b (*.f64 b b)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b)) |
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 b) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a))))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a)))) |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a))) |
(cos.f64 b) |
(cos.f64 a) |
a |
(neg.f64 (*.f64 (sin.f64 b) a)) |
(*.f64 (sin.f64 b) a) |
| Outputs |
|---|
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
r |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(sin.f64 b) |
b |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(cos.f64 b) |
(cos.f64 a) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 r (fma.f64 b (*.f64 a (*.f64 a #s(literal 1/2 binary64))) b)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) |
(fma.f64 a (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 a a) |
a |
#s(literal 1 binary64) |
(*.f64 r b) |
r |
b |
(*.f64 (/.f64 r (cos.f64 b)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) b)) (cos.f64 b)) |
(/.f64 r (cos.f64 b)) |
r |
(cos.f64 b) |
b |
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) |
(fma.f64 (*.f64 b b) (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) b) |
(fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(*.f64 b b) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 b (*.f64 b b)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b)) |
(/.f64 (cos.f64 b) (*.f64 r (sin.f64 b))) |
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 b) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a))) |
r |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a)))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a))) |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a)) |
(cos.f64 b) |
(cos.f64 a) |
a |
(neg.f64 (*.f64 (sin.f64 b) a)) |
(*.f64 (sin.f64 b) a) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a))) |
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 b) a) |
| ✓ | accuracy | 99.8% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a))))) |
| ✓ | accuracy | 99.6% | (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a)))) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b)) |
| ✓ | accuracy | 99.8% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
| ✓ | accuracy | 98.9% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b))) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 b (*.f64 b b)) |
| ✓ | accuracy | 99.8% | (/.f64 r (cos.f64 b)) |
| ✓ | accuracy | 98.1% | (*.f64 (/.f64 r (cos.f64 b)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
| ✓ | 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 | 90.7% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
| ✓ | accuracy | 99.9% | (*.f64 (cos.f64 b) (cos.f64 a)) |
| ✓ | accuracy | 99.9% | (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
| ✓ | accuracy | 99.7% | (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) |
| 96.0ms | 256× | 0 | valid |
Compiled 249 to 41 computations (83.5% saved)
ival-mult: 25.0ms (36.2% of total)ival-sin: 12.0ms (17.4% of total)ival-cos: 9.0ms (13% of total)ival-div: 8.0ms (11.6% of total)const: 6.0ms (8.7% of total)ival-add: 5.0ms (7.2% of total)ival-neg: 2.0ms (2.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b))> |
#<alt (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))> |
#<alt (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))> |
#<alt (sin.f64 b)> |
#<alt (*.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 (/.f64 r (cos.f64 b)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))> |
#<alt (/.f64 r (cos.f64 b))> |
#<alt (cos.f64 b)> |
#<alt (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b)))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))> |
#<alt (*.f64 r (sin.f64 b))> |
#<alt (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a)))))> |
#<alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a))))> |
#<alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a)))> |
#<alt (*.f64 (cos.f64 b) (cos.f64 a))> |
#<alt (*.f64 b (*.f64 b b))> |
#<alt (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))> |
#<alt (*.f64 (sin.f64 b) a)> |
| Outputs |
|---|
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (cos a))> |
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))> |
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))> |
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (cos b))> |
#<alt (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))> |
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))> |
#<alt (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))> |
#<alt b> |
#<alt (* b (+ 1 (* -1/6 (pow b 2))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (* 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)))))> |
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#<alt (* -1 (* a (sin b)))> |
#<alt (* -1 (* a (- (* -1 (/ (* (cos a) (cos b)) a)) (* -1 (sin b)))))> |
#<alt (* -1 (* a (- (* -1 (/ (* (cos a) (cos b)) a)) (* -1 (sin b)))))> |
#<alt (* -1 (* a (- (* -1 (/ (* (cos a) (cos b)) a)) (* -1 (sin b)))))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))> |
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))> |
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))> |
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))> |
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt -1/6> |
#<alt (- (* 1/120 (pow b 2)) 1/6)> |
#<alt (- (* 1/120 (pow b 2)) 1/6)> |
#<alt (- (* 1/120 (pow b 2)) 1/6)> |
#<alt (* 1/120 (pow b 2))> |
#<alt (* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))> |
#<alt (* 1/120 (pow b 2))> |
#<alt (* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))> |
#<alt (* a b)> |
#<alt (* b (+ a (* -1/6 (* a (pow b 2)))))> |
#<alt (* b (+ a (* (pow b 2) (+ (* -1/6 a) (* 1/120 (* a (pow b 2)))))))> |
#<alt (* b (+ a (* (pow b 2) (+ (* -1/6 a) (* (pow b 2) (+ (* -1/5040 (* a (pow b 2))) (* 1/120 a)))))))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
#<alt (* a (sin b))> |
129 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | a | @ | -inf | (* (/ r (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b)) |
| 2.0ms | r | @ | 0 | (/ r (cos b)) |
| 1.0ms | b | @ | inf | (* (/ r (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b)) |
| 1.0ms | b | @ | -inf | (* (/ r (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b)) |
| 1.0ms | a | @ | inf | (* (/ r (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b)) |
| 1× | batch-egg-rewrite |
| 5 068× | lower-fma.f32 |
| 5 058× | lower-fma.f64 |
| 4 158× | lower-/.f32 |
| 4 148× | lower-/.f64 |
| 3 914× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 189 |
| 0 | 67 | 183 |
| 1 | 225 | 156 |
| 2 | 1540 | 156 |
| 0 | 8406 | 156 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 b)) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(sin.f64 b) |
(*.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 (/.f64 r (cos.f64 b)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 r (cos.f64 b)) |
(cos.f64 b) |
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b)) |
(/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(*.f64 r (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a))))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a)))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a))) |
(*.f64 (cos.f64 b) (cos.f64 a)) |
(*.f64 b (*.f64 b b)) |
(fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(*.f64 (sin.f64 b) a) |
| Outputs |
|---|
(-.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 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) (sin.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) |
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 b a)))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a))))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a))))))) |
(*.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) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a))))))) |
(*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a))))))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 (*.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) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a))))))) |
(*.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) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))) |
(neg.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) |
(/.f64 (neg.f64 r) (neg.f64 (cos.f64 (+.f64 b a)))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal -1 binary64)) |
(*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))) |
(*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) |
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a))))) |
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a))))))) |
(*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) |
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(fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) |
(fma.f64 (*.f64 b #s(literal 1/120 binary64)) b #s(literal -1/6 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 b b) #s(literal -1/720 binary64)))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))) |
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 b b) #s(literal -1/720 binary64))))) |
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 b b) #s(literal -1/720 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 b b) #s(literal -1/720 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 b b) #s(literal -1/720 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 b b) #s(literal -1/720 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64)))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (*.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 b b) #s(literal -1/720 binary64)))))) |
(*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 b b) #s(literal -1/720 binary64)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 b b) #s(literal -1/720 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) |
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/14400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64))))) |
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) a)) |
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (neg.f64 a))) |
(neg.f64 (*.f64 (sin.f64 b) (neg.f64 a))) |
(/.f64 (neg.f64 (*.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) (neg.f64 a))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 b) a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.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 0 binary64)))) |
(*.f64 (sin.f64 b) a) |
(*.f64 a (sin.f64 b)) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) a)) |
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (neg.f64 a))) |
| 1× | egg-herbie |
| 9 358× | lower-fma.f64 |
| 9 358× | lower-fma.f32 |
| 7 176× | lower-*.f64 |
| 7 176× | lower-*.f32 |
| 3 422× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 662 | 6353 |
| 1 | 2197 | 6054 |
| 2 | 7380 | 6011 |
| 0 | 8135 | 5786 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (cos a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (cos b)) |
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(* 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) |
(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)) |
(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)) |
(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)) |
(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)) |
(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)) |
(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)) |
(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)) |
(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)) |
(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)) |
(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)) |
(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)) |
(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)) |
(* b r) |
(* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r))))) |
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r))))) |
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (+ (* -1 (* (pow b 2) (+ (* -1/2 (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r)))) (+ (* -1/720 r) (* 1/24 (- (* -1/6 r) (* -1/2 r))))))) (* 1/120 r)) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r))))) |
(* 1/120 (/ (* (pow b 5) r) (cos b))) |
(* (pow b 5) (+ (* -1/6 (/ r (* (pow b 2) (cos b)))) (* 1/120 (/ r (cos b))))) |
(* (pow b 5) (+ (* -1/6 (/ r (* (pow b 2) (cos b)))) (+ (* 1/120 (/ r (cos b))) (/ r (* (pow b 4) (cos b)))))) |
(* (pow b 5) (+ (* -1/6 (/ r (* (pow b 2) (cos b)))) (+ (* 1/120 (/ r (cos b))) (/ r (* (pow b 4) (cos b)))))) |
(* 1/120 (/ (* (pow b 5) r) (cos b))) |
(* -1 (* (pow b 5) (+ (* -1/120 (/ r (cos b))) (* 1/6 (/ r (* (pow b 2) (cos b))))))) |
(* -1 (* (pow b 5) (+ (* -1 (/ r (* (pow b 4) (cos b)))) (+ (* -1/120 (/ r (cos b))) (* 1/6 (/ r (* (pow b 2) (cos b)))))))) |
(* -1 (* (pow b 5) (+ (* -1 (/ r (* (pow b 4) (cos b)))) (+ (* -1/120 (/ r (cos b))) (* 1/6 (/ r (* (pow b 2) (cos b)))))))) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
r |
(+ r (* 1/2 (* (pow b 2) r))) |
(+ r (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(+ r (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r)))) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
(/ r (cos b)) |
1 |
(+ 1 (* -1/2 (pow b 2))) |
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2))) |
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2))) |
(cos b) |
(cos b) |
(cos b) |
(cos b) |
(cos b) |
(cos b) |
(cos b) |
(cos b) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* 1/120 (pow b 5)) |
(* (pow b 5) (- 1/120 (* 1/6 (/ 1 (pow b 2))))) |
(* (pow b 5) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2))))) |
(* (pow b 5) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2))))) |
(* 1/120 (pow b 5)) |
(* -1 (* (pow b 5) (- (* 1/6 (/ 1 (pow b 2))) 1/120))) |
(* -1 (* (pow b 5) (- (* 1/6 (/ 1 (pow b 2))) (+ 1/120 (/ 1 (pow b 4)))))) |
(* -1 (* (pow b 5) (- (* 1/6 (/ 1 (pow b 2))) (+ 1/120 (/ 1 (pow b 4)))))) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(* b r) |
(* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r))))) |
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r))))) |
(* b (+ r (* (pow b 2) (- (+ (* -1/6 r) (* (pow b 2) (- (+ (* 1/120 r) (* (pow b 2) (- (* -1/5040 r) (+ (* -1/2 (- (* 1/120 r) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r)))) (+ (* -1/720 r) (* 1/24 (- (* -1/6 r) (* -1/2 r)))))))) (+ (* -1/2 (- (* -1/6 r) (* -1/2 r))) (* 1/24 r))))) (* -1/2 r))))) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (* r (sin b)) (cos b)) |
(/ (cos b) (* r (sin b))) |
(/ (cos b) (* r (sin b))) |
(/ (cos b) (* r (sin b))) |
(/ (cos b) (* r (sin b))) |
(/ (cos b) (* r (sin b))) |
(/ (cos b) (* r (sin b))) |
(/ (cos b) (* r (sin b))) |
(/ (cos b) (* r (sin b))) |
(/ (cos b) (* r (sin b))) |
(/ (cos b) (* r (sin b))) |
(/ (cos b) (* r (sin b))) |
(/ (cos b) (* r (sin b))) |
(/ 1 (* b r)) |
(/ (+ (* -1/3 (/ (pow b 2) r)) (/ 1 r)) b) |
(/ (+ (* (pow b 2) (- (* -1/45 (/ (pow b 2) r)) (* 1/3 (/ 1 r)))) (/ 1 r)) b) |
(/ (+ (* (pow b 2) (- (* (pow b 2) (- (* -2/945 (/ (pow b 2) r)) (* 1/45 (/ 1 r)))) (* 1/3 (/ 1 r)))) (/ 1 r)) b) |
(/ (cos b) (* r (sin b))) |
(/ (cos b) (* r (sin b))) |
(/ (cos b) (* r (sin b))) |
(/ (cos b) (* r (sin b))) |
(/ (cos b) (* r (sin b))) |
(/ (cos b) (* r (sin b))) |
(/ (cos b) (* r (sin b))) |
(/ (cos b) (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* b r)) |
(/ (+ (* 1/6 (/ (pow b 2) r)) (/ 1 r)) b) |
(/ (+ (* (pow b 2) (+ (* 7/360 (/ (pow b 2) r)) (* 1/6 (/ 1 r)))) (/ 1 r)) b) |
(/ (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 31/15120 (/ (pow b 2) r)) (* 7/360 (/ 1 r)))) (* 1/6 (/ 1 r)))) (/ 1 r)) b) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(/ 1 (* r (sin b))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (sin b)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* a (* b r)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* (pow a 2) r) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* a r) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* a (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* (pow a 2) r) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* a r) (pow (cos a) 2))) (* 1/6 (/ (* a r) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* (pow a 2) r) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* a r) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (sin b)))) |
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* a (sin b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (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))) |
(* -1 (/ r a)) |
(/ (+ (* -1 r) (* -1 (/ (* r (* (cos a) (cos b))) (* a (sin b))))) a) |
(/ (- (+ (* -1 r) (* -1 (/ (* r (* (pow (cos a) 2) (pow (cos b) 2))) (* (pow a 2) (pow (sin b) 2))))) (/ (* r (* (cos a) (cos b))) (* a (sin b)))) a) |
(/ (- (+ (* -1 r) (* -1 (/ (* r (* (pow (cos a) 3) (pow (cos b) 3))) (* (pow a 3) (pow (sin b) 3))))) (+ (/ (* r (* (cos a) (cos b))) (* a (sin b))) (/ (* r (* (pow (cos a) 2) (pow (cos b) 2))) (* (pow a 2) (pow (sin b) 2))))) a) |
(* -1 (/ r a)) |
(* -1 (/ (+ r (/ (* r (* (cos a) (cos b))) (* a (sin b)))) a)) |
(* -1 (/ (+ r (* -1 (/ (- (* -1 (/ (* r (* (pow (cos a) 2) (pow (cos b) 2))) (* a (pow (sin b) 2)))) (/ (* r (* (cos a) (cos b))) (sin b))) a))) a)) |
(* -1 (/ (+ r (* -1 (/ (- (* -1 (/ (- (/ (* r (* (pow (cos a) 3) (pow (cos b) 3))) (* a (pow (sin b) 3))) (* -1 (/ (* r (* (pow (cos a) 2) (pow (cos b) 2))) (pow (sin b) 2)))) a)) (/ (* r (* (cos a) (cos b))) (sin b))) a))) a)) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* a b) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow a 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ a (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* a (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow a 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ a (pow (cos a) 2))) (* 1/6 (/ a (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow a 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ a (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* a (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* a (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* a (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* a (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* a (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* a (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* a (sin b)))) |
(/ (sin b) (- (* (cos a) (cos b)) (* a (sin b)))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (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))) |
(/ -1 a) |
(/ (- (* -1 (/ (* (cos a) (cos b)) (* a (sin b)))) 1) a) |
(/ (- (* -1 (/ (* (pow (cos a) 2) (pow (cos b) 2)) (* (pow a 2) (pow (sin b) 2)))) (+ 1 (/ (* (cos a) (cos b)) (* a (sin b))))) a) |
(/ (- (* -1 (/ (* (pow (cos a) 3) (pow (cos b) 3)) (* (pow a 3) (pow (sin b) 3)))) (+ 1 (+ (/ (* (cos a) (cos b)) (* a (sin b))) (/ (* (pow (cos a) 2) (pow (cos b) 2)) (* (pow a 2) (pow (sin b) 2)))))) a) |
(/ -1 a) |
(* -1 (/ (+ 1 (/ (* (cos a) (cos b)) (* a (sin b)))) a)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* (pow (cos a) 2) (pow (cos b) 2)) (* a (pow (sin b) 2)))) (/ (* (cos a) (cos b)) (sin b))) a))) a)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow (cos a) 3) (pow (cos b) 3)) (* a (pow (sin b) 3))) (* -1 (/ (* (pow (cos a) 2) (pow (cos b) 2)) (pow (sin b) 2)))) a)) (/ (* (cos a) (cos b)) (sin b))) a))) a)) |
(cos a) |
(+ (cos a) (* -1 (* a b))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) a))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* a b)))) a))) |
(- (* (cos a) (cos b)) (* a (sin b))) |
(- (* (cos a) (cos b)) (* a (sin b))) |
(- (* (cos a) (cos b)) (* a (sin b))) |
(- (* (cos a) (cos b)) (* a (sin b))) |
(- (* (cos a) (cos b)) (* a (sin b))) |
(- (* (cos a) (cos b)) (* a (sin b))) |
(- (* (cos a) (cos b)) (* a (sin b))) |
(- (* (cos a) (cos b)) (* a (sin b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))) (sin b)))) |
(* -1 (* a (sin b))) |
(* a (- (/ (* (cos a) (cos b)) a) (sin b))) |
(* a (- (/ (* (cos a) (cos b)) a) (sin b))) |
(* a (- (/ (* (cos a) (cos b)) a) (sin b))) |
(* -1 (* a (sin b))) |
(* -1 (* a (- (* -1 (/ (* (cos a) (cos b)) a)) (* -1 (sin b))))) |
(* -1 (* a (- (* -1 (/ (* (cos a) (cos b)) a)) (* -1 (sin b))))) |
(* -1 (* a (- (* -1 (/ (* (cos a) (cos b)) a)) (* -1 (sin b))))) |
(cos a) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(cos b) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
-1/6 |
(- (* 1/120 (pow b 2)) 1/6) |
(- (* 1/120 (pow b 2)) 1/6) |
(- (* 1/120 (pow b 2)) 1/6) |
(* 1/120 (pow b 2)) |
(* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2))))) |
(* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2))))) |
(* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2))))) |
(* 1/120 (pow b 2)) |
(* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2))))) |
(* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2))))) |
(* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2))))) |
(* a b) |
(* b (+ a (* -1/6 (* a (pow b 2))))) |
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* 1/120 (* a (pow b 2))))))) |
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* (pow b 2) (+ (* -1/5040 (* a (pow b 2))) (* 1/120 a))))))) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
(* a (sin b)) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* b r) (cos a)) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (-.f64 (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* 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 (-.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b)) (*.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 a (fma.f64 a (neg.f64 (fma.f64 a (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b)) (*.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b)) (*.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (cos a)) |
(/.f64 r (cos.f64 a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(fma.f64 b (fma.f64 (-.f64 (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (neg.f64 b) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(fma.f64 b (fma.f64 b (neg.f64 (fma.f64 b (fma.f64 (-.f64 (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (-.f64 (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (cos b)) |
(/.f64 r (cos.f64 b)) |
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))) |
(fma.f64 (*.f64 r (sin.f64 b)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 r (cos.f64 b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(fma.f64 a (fma.f64 (-.f64 (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 b)) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (neg.f64 a) (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 r (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(fma.f64 a (fma.f64 r (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (neg.f64 (fma.f64 a (fma.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (-.f64 (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 b)) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (-.f64 (/.f64 (*.f64 r #s(literal -1/2 binary64)) (cos.f64 b)) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))))) (/.f64 r (cos.f64 b))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ r (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))) |
(/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(fma.f64 (sin.f64 a) (neg.f64 b) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(fma.f64 b (fma.f64 b (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b (sin.f64 a)))) (neg.f64 (sin.f64 a))) (cos.f64 a)) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b)))))) |
(fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
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(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
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(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))) |
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(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
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(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
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(sin b) |
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(sin b) |
(sin.f64 b) |
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(* 1/2 (* (pow a 2) (* b r))) |
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(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2)))) |
(*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) |
(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2)))) |
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(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2)))) |
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(* 1/2 (* (pow a 2) (* b r))) |
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(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2)))) |
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(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2)))) |
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(* (pow a 2) (+ (* 1/2 (* b r)) (/ (* b r) (pow a 2)))) |
(*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
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(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
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(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
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(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
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(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
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(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
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(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
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(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
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(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
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(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(*.f64 b (fma.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) r)) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(*.f64 b (fma.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) r)) |
(* b (* r (+ 1 (* 1/2 (pow a 2))))) |
(*.f64 b (fma.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) r)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow a 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (pow a 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (pow a 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) |
(* 1/2 (pow a 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) |
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) |
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) |
(* 1/2 (pow a 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) |
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) |
(* (pow a 2) (+ 1/2 (/ 1 (pow a 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(* b r) |
(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(* b r) |
(*.f64 r b) |
(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)) |
(/.f64 (*.f64 r (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 b)) |
(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)) |
(/.f64 (*.f64 r (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 b)) |
(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)) |
(/.f64 (*.f64 r (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 b)) |
(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)) |
(/.f64 (*.f64 r (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 b)) |
(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)) |
(/.f64 (*.f64 r (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 b)) |
(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)) |
(/.f64 (*.f64 r (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 b)) |
(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)) |
(/.f64 (*.f64 r (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 b)) |
(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)) |
(/.f64 (*.f64 r (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 b)) |
(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)) |
(/.f64 (*.f64 r (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 b)) |
(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)) |
(/.f64 (*.f64 r (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 b)) |
(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)) |
(/.f64 (*.f64 r (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 b)) |
(/ (* r (+ b (* (pow b 3) (- (* 1/120 (pow b 2)) 1/6)))) (cos b)) |
(/.f64 (*.f64 r (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 b)) |
(* b r) |
(*.f64 r b) |
(* b (+ r (* (pow b 2) (- (* -1/6 r) (* -1/2 r))))) |
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r)) |
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(/.f64 (fma.f64 (cos.f64 a) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) #s(literal 1 binary64)) (neg.f64 a)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* (pow (cos a) 2) (pow (cos b) 2)) (* a (pow (sin b) 2)))) (/ (* (cos a) (cos b)) (sin b))) a))) a)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (/.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)))) a)) (neg.f64 a)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow (cos a) 3) (pow (cos b) 3)) (* a (pow (sin b) 3))) (* -1 (/ (* (pow (cos a) 2) (pow (cos b) 2)) (pow (sin b) 2)))) a)) (/ (* (cos a) (cos b)) (sin b))) a))) a)) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (cos.f64 b) (sin.f64 b)) #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) a) (/.f64 (*.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))))) (*.f64 a a)) (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) a)))) a)) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* a b))) |
(fma.f64 b (neg.f64 a) (cos.f64 a)) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) a))) |
(fma.f64 b (fma.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)) (neg.f64 a)) (cos.f64 a)) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* a b)))) a))) |
(fma.f64 b (fma.f64 b (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (*.f64 a (*.f64 b #s(literal 1/6 binary64)))) (neg.f64 a)) (cos.f64 a)) |
(- (* (cos a) (cos b)) (* a (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) a)) |
(- (* (cos a) (cos b)) (* a (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) a)) |
(- (* (cos a) (cos b)) (* a (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) a)) |
(- (* (cos a) (cos b)) (* a (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) a)) |
(- (* (cos a) (cos b)) (* a (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) a)) |
(- (* (cos a) (cos b)) (* a (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) a)) |
(- (* (cos a) (cos b)) (* a (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) a)) |
(- (* (cos a) (cos b)) (* a (sin b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) a)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))) (sin b)))) |
(fma.f64 a (fma.f64 a (*.f64 (cos.f64 b) (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 b))) (cos.f64 b)) |
(* -1 (* a (sin b))) |
(neg.f64 (*.f64 (sin.f64 b) a)) |
(* a (- (/ (* (cos a) (cos b)) a) (sin b))) |
(*.f64 a (-.f64 (*.f64 (cos.f64 a) (/.f64 (cos.f64 b) a)) (sin.f64 b))) |
(* a (- (/ (* (cos a) (cos b)) a) (sin b))) |
(*.f64 a (-.f64 (*.f64 (cos.f64 a) (/.f64 (cos.f64 b) a)) (sin.f64 b))) |
(* a (- (/ (* (cos a) (cos b)) a) (sin b))) |
(*.f64 a (-.f64 (*.f64 (cos.f64 a) (/.f64 (cos.f64 b) a)) (sin.f64 b))) |
(* -1 (* a (sin b))) |
(neg.f64 (*.f64 (sin.f64 b) a)) |
(* -1 (* a (- (* -1 (/ (* (cos a) (cos b)) a)) (* -1 (sin b))))) |
(*.f64 (-.f64 (sin.f64 b) (*.f64 (cos.f64 a) (/.f64 (cos.f64 b) a))) (neg.f64 a)) |
(* -1 (* a (- (* -1 (/ (* (cos a) (cos b)) a)) (* -1 (sin b))))) |
(*.f64 (-.f64 (sin.f64 b) (*.f64 (cos.f64 a) (/.f64 (cos.f64 b) a))) (neg.f64 a)) |
(* -1 (* a (- (* -1 (/ (* (cos a) (cos b)) a)) (* -1 (sin b))))) |
(*.f64 (-.f64 (sin.f64 b) (*.f64 (cos.f64 a) (/.f64 (cos.f64 b) a))) (neg.f64 a)) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(fma.f64 (*.f64 b b) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (cos.f64 a)) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(fma.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #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)) |
(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)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow b 2)) 1/6) |
(fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(- (* 1/120 (pow b 2)) 1/6) |
(fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(- (* 1/120 (pow b 2)) 1/6) |
(fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(* 1/120 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 1/120 binary64)) |
(* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 b b))) b) b) |
(* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 b b))) b) b) |
(* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 b b))) b) b) |
(* 1/120 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 1/120 binary64)) |
(* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 b b))) b) b) |
(* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 b b))) b) b) |
(* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 b b))) b) b) |
(* a b) |
(*.f64 b a) |
(* b (+ a (* -1/6 (* a (pow b 2))))) |
(*.f64 b (fma.f64 a (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) a)) |
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* 1/120 (* a (pow b 2))))))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 a #s(literal 1/120 binary64))) (*.f64 a #s(literal -1/6 binary64))) a)) |
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* (pow b 2) (+ (* -1/5040 (* a (pow b 2))) (* 1/120 a))))))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 a #s(literal 1/120 binary64) (*.f64 a (*.f64 b (*.f64 b #s(literal -1/5040 binary64))))) (*.f64 a #s(literal -1/6 binary64))) a)) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
(* a (sin b)) |
(*.f64 (sin.f64 b) a) |
Compiled 37 095 to 3 302 computations (91.1% saved)
110 alts after pruning (103 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 439 | 39 | 1 478 |
| Fresh | 14 | 64 | 78 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 5 | 6 |
| Total | 1 457 | 110 | 1 567 |
| Status | Accuracy | Program |
|---|---|---|
| 44.0% | (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 78.8% | (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 34.2% | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) b) (fma.f64 b (*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 b))) r) (*.f64 (fma.f64 b (*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 b)) (cos.f64 (+.f64 b a)))) | |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 78.9% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) | |
| 61.3% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) | |
| 34.1% | (/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 53.4% | (/.f64 (*.f64 r b) (cos.f64 a)) | |
| 8.8% | (/.f64 (*.f64 r #s(literal 6 binary64)) (*.f64 a (*.f64 a a))) | |
| 78.8% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 8.3% | (/.f64 r (neg.f64 a)) | |
| 53.4% | (/.f64 b (/.f64 (cos.f64 a) r)) | |
| 35.4% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (/.f64 (*.f64 b b) r) #s(literal -2/945 binary64) (/.f64 #s(literal -1/45 binary64) r))) (/.f64 #s(literal -1/3 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) | |
| 98.7% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 r (sin.f64 b)))) | |
| 53.6% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (fma.f64 (/.f64 (cos.f64 a) r) (*.f64 #s(literal -1/3 binary64) b) (neg.f64 (/.f64 (sin.f64 a) r))) (/.f64 (cos.f64 a) r)) b)) | |
| 35.5% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) | |
| 60.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 b) (sin.f64 b)) r)) | |
| 97.7% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))) (*.f64 r (sin.f64 b)))) | |
| 54.7% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 b (sin.f64 a)) r)) b)) | |
| 54.2% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) (*.f64 r (sin.f64 b)))) | |
| 64.1% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 a (/.f64 b a) a)) (*.f64 r (sin.f64 b)))) | |
| 52.6% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r b))) | |
| 60.8% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b)))) | |
| 56.1% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) | |
| 52.7% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) | |
| 35.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r b))) | |
| 98.7% | (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) r) (/.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b)) r))) | |
| 98.6% | (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r) (sin.f64 b)) (/.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r) (sin.f64 b)))) | |
| 91.2% | (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 r (sin.f64 b))) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 r (sin.f64 b))))) | |
| 56.6% | (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b))) (/.f64 a r))) | |
| 28.9% | (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) (cos.f64 b))) | |
| 35.5% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 b (*.f64 b (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b) (cos.f64 b))) | |
| 52.9% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b) (cos.f64 (+.f64 b a)))) | |
| 60.7% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (cos.f64 b))) | |
| 98.7% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))) | |
| 60.8% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b))))) | |
| ✓ | 60.8% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b))) |
| 56.1% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 a))) | |
| 38.4% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) | |
| 60.7% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) (cos.f64 b))) | |
| 41.2% | (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) (cos.f64 (+.f64 b a)))) | |
| 32.6% | (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) (cos.f64 b))) | |
| 35.3% | (*.f64 (fma.f64 r (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) r) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) | |
| ✓ | 28.7% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
| 61.3% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) | |
| 34.7% | (*.f64 (/.f64 r (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) | |
| 34.8% | (*.f64 (/.f64 r (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) | |
| 98.5% | (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal 0 binary64)) (*.f64 (cos.f64 b) (cos.f64 a))))) (sin.f64 b)) | |
| 54.5% | (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) (sin.f64 b)) | |
| 54.4% | (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) (sin.f64 b)) | |
| 54.4% | (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) (sin.f64 b)) | |
| 99.4% | (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (cos.f64 a)))) (sin.f64 b)) | |
| 53.8% | (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (fma.f64 (fma.f64 (*.f64 b 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)) | |
| 53.8% | (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) | |
| 99.4% | (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 62.4% | (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (cos.f64 b))) (sin.f64 b)) | |
| 57.8% | (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (cos.f64 a))) (sin.f64 b)) | |
| 58.5% | (*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b)))) (sin.f64 b)) | |
| 54.3% | (*.f64 (/.f64 r (fma.f64 (sin.f64 a) (neg.f64 b) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) (sin.f64 b)) | |
| 53.0% | (*.f64 (/.f64 r (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) | |
| 34.8% | (*.f64 (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) | |
| 98.5% | (*.f64 (/.f64 r (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))) (sin.f64 b)) | |
| ✓ | 99.5% | (*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
| 62.4% | (*.f64 (/.f64 r (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) | |
| 34.4% | (*.f64 (/.f64 r (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) | |
| 59.0% | (*.f64 (/.f64 r (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (sin.f64 b)) | |
| 53.2% | (*.f64 (/.f64 r (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) | |
| 64.8% | (*.f64 (/.f64 r (cos.f64 (fma.f64 a (/.f64 b a) a))) (sin.f64 b)) | |
| 70.1% | (*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b)) | |
| 52.6% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 (*.f64 b b) #s(literal 3/2 binary64)) b)) | |
| 53.0% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) | |
| 31.6% | (*.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))))) (sin.f64 b)) | |
| 61.3% | (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) | |
| 56.8% | (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) | |
| 53.3% | (*.f64 (/.f64 b (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) | |
| 78.8% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) | |
| 61.3% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 r (sin.f64 b))) | |
| 53.2% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) | |
| 78.9% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) | |
| 53.4% | (*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 a))) | |
| 13.9% | (*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) | |
| 9.5% | (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 r b)) | |
| 61.2% | (*.f64 (sin.f64 b) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (/.f64 #s(literal 1 binary64) r))) | |
| 38.0% | (*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) | |
| 54.1% | (*.f64 r (/.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| 8.7% | (*.f64 r (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 a a))) (*.f64 a (*.f64 a a)))) | |
| 58.8% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| 58.7% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| 58.6% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) | |
| ✓ | 99.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
| ✓ | 60.8% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))))) |
| 35.0% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 58.5% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (*.f64 a #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))) | |
| 35.9% | (*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 56.8% | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) | |
| 34.2% | (*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 53.4% | (*.f64 r (/.f64 b (cos.f64 a))) | |
| 8.8% | (*.f64 r (/.f64 #s(literal 6 binary64) (*.f64 a (*.f64 a a)))) | |
| 8.3% | (*.f64 r (/.f64 #s(literal -1 binary64) a)) | |
| 78.8% | (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) | |
| ✓ | 35.6% | (*.f64 r b) |
| 35.4% | (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal -1/6 binary64) (*.f64 r #s(literal 1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) | |
| 35.4% | (*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r)) | |
| 33.9% | (*.f64 b (fma.f64 a (/.f64 (*.f64 r b) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 34.1% | (*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 34.0% | (*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 34.2% | (*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 53.4% | (*.f64 b (/.f64 r (cos.f64 a))) |
| 14.1% | (*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) | |
| 28.5% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
Compiled 4 915 to 1 907 computations (61.2% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 r (/.f64 #s(literal -1 binary64) a)) |
(*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 r b)) |
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 r (/.f64 #s(literal 6 binary64) (*.f64 a (*.f64 a a)))) |
(/.f64 (*.f64 r #s(literal 6 binary64)) (*.f64 a (*.f64 a a))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #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 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) |
(*.f64 r (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 a a))) (*.f64 a (*.f64 a a)))) |
(*.f64 (fma.f64 r (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) r) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal -1/6 binary64) (*.f64 r #s(literal 1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 (/.f64 r (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 b (fma.f64 a (/.f64 (*.f64 r b) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (/.f64 (*.f64 b b) r) #s(literal -2/945 binary64) (/.f64 #s(literal -1/45 binary64) r))) (/.f64 #s(literal -1/3 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 r (/.f64 (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b) (cos.f64 (+.f64 a 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 (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 b)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 r (/.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
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(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))) |
(*.f64 (/.f64 r (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))))) (*.f64 r (sin.f64 b)))) |
(*.f64 (/.f64 r (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))) (*.f64 r (sin.f64 b)))) |
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))) |
| Outputs |
|---|
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
5 calls:
| 78.0ms | a |
| 68.0ms | b |
| 47.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 46.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 43.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | r |
| 99.5% | 1 | a |
| 99.5% | 1 | b |
| 99.5% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 99.5% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 r (/.f64 #s(literal -1 binary64) a)) |
(*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 r b)) |
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 r (/.f64 #s(literal 6 binary64) (*.f64 a (*.f64 a a)))) |
(/.f64 (*.f64 r #s(literal 6 binary64)) (*.f64 a (*.f64 a a))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #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 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) |
(*.f64 r (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 a a))) (*.f64 a (*.f64 a a)))) |
(*.f64 (fma.f64 r (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) r) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal -1/6 binary64) (*.f64 r #s(literal 1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 (/.f64 r (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 b (fma.f64 a (/.f64 (*.f64 r b) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (/.f64 (*.f64 b b) r) #s(literal -2/945 binary64) (/.f64 #s(literal -1/45 binary64) r))) (/.f64 #s(literal -1/3 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 r (/.f64 (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b) (cos.f64 (+.f64 a 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 (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 b)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 r (/.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (fma.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 b (*.f64 b (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b) (cos.f64 b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) b) (fma.f64 b (*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 b))) r) (*.f64 (fma.f64 b (*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 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 b)) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 r (sin.f64 b))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b)))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 a))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b))) |
(*.f64 (/.f64 r (cos.f64 (fma.f64 a (/.f64 b a) a))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 b) (sin.f64 b)) r)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 (sin.f64 b) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b))) (/.f64 a r))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 (*.f64 b b) #s(literal 3/2 binary64)) b)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) (cos.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 a (/.f64 b a) a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (cos.f64 b))) |
(*.f64 (/.f64 r (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 (/.f64 r (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 b (sin.f64 a)) r)) b)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b))))) |
(*.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) |
(*.f64 (/.f64 r (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (*.f64 a #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) (*.f64 r (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 a) (neg.f64 b) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b)))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (fma.f64 (/.f64 (cos.f64 a) r) (*.f64 #s(literal -1/3 binary64) b) (neg.f64 (/.f64 (sin.f64 a) r))) (/.f64 (cos.f64 a) r)) b)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 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)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) |
(*.f64 (/.f64 r (-.f64 (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (cos.f64 b))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) (cos.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a))))) |
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) (cos.f64 b))) |
(*.f64 r (/.f64 (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 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) (cos.f64 (+.f64 b a)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 (/.f64 r (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))))) |
(*.f64 r (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (fma.f64 b (*.f64 (*.f64 #s(literal -1/6 binary64) b) b) b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) |
(*.f64 (/.f64 r (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (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)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) (sin.f64 b)) |
(*.f64 r (/.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) (sin.f64 b)) |
(*.f64 r (/.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (fma.f64 (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
5 calls:
| 46.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 37.0ms | r |
| 37.0ms | a |
| 37.0ms | b |
| 37.0ms | (/.f64 (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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 99.5% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 r (/.f64 #s(literal -1 binary64) a)) |
(*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 r b)) |
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 r (/.f64 #s(literal 6 binary64) (*.f64 a (*.f64 a a)))) |
(/.f64 (*.f64 r #s(literal 6 binary64)) (*.f64 a (*.f64 a a))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #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 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) |
(*.f64 r (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 a a))) (*.f64 a (*.f64 a a)))) |
(*.f64 (fma.f64 r (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) r) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal -1/6 binary64) (*.f64 r #s(literal 1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 (/.f64 r (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 b (fma.f64 a (/.f64 (*.f64 r b) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (/.f64 (*.f64 b b) r) #s(literal -2/945 binary64) (/.f64 #s(literal -1/45 binary64) r))) (/.f64 #s(literal -1/3 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 r (/.f64 (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b) (cos.f64 (+.f64 a 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 (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 b)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 r (/.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (fma.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 b (*.f64 b (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b) (cos.f64 b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) b) (fma.f64 b (*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 b))) r) (*.f64 (fma.f64 b (*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 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 b)) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 r (sin.f64 b))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b)))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 a))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b))) |
(*.f64 (/.f64 r (cos.f64 (fma.f64 a (/.f64 b a) a))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 b) (sin.f64 b)) r)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 (sin.f64 b) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b))) (/.f64 a r))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 (*.f64 b b) #s(literal 3/2 binary64)) b)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) (cos.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 a (/.f64 b a) a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (cos.f64 b))) |
(*.f64 (/.f64 r (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 (/.f64 r (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 b (sin.f64 a)) r)) b)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b))))) |
(*.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) |
(*.f64 (/.f64 r (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (*.f64 a #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) (*.f64 r (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 a) (neg.f64 b) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b)))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (fma.f64 (/.f64 (cos.f64 a) r) (*.f64 #s(literal -1/3 binary64) b) (neg.f64 (/.f64 (sin.f64 a) r))) (/.f64 (cos.f64 a) r)) b)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 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)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) |
(*.f64 (/.f64 r (-.f64 (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (cos.f64 b))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) (cos.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a))))) |
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) (cos.f64 b))) |
(*.f64 r (/.f64 (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 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) (cos.f64 (+.f64 b a)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 (/.f64 r (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))))) |
(*.f64 r (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (fma.f64 b (*.f64 (*.f64 #s(literal -1/6 binary64) b) b) b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) |
(*.f64 (/.f64 r (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (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)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) (sin.f64 b)) |
(*.f64 r (/.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) (sin.f64 b)) |
(*.f64 r (/.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (fma.f64 (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
5 calls:
| 42.0ms | a |
| 37.0ms | b |
| 37.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 36.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 36.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | r |
| 99.4% | 1 | a |
| 99.4% | 1 | b |
| 99.4% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 99.4% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 r (/.f64 #s(literal -1 binary64) a)) |
(*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 r b)) |
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 r (/.f64 #s(literal 6 binary64) (*.f64 a (*.f64 a a)))) |
(/.f64 (*.f64 r #s(literal 6 binary64)) (*.f64 a (*.f64 a a))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #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 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) |
(*.f64 r (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 a a))) (*.f64 a (*.f64 a a)))) |
(*.f64 (fma.f64 r (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) r) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal -1/6 binary64) (*.f64 r #s(literal 1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 (/.f64 r (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 b (fma.f64 a (/.f64 (*.f64 r b) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (/.f64 (*.f64 b b) r) #s(literal -2/945 binary64) (/.f64 #s(literal -1/45 binary64) r))) (/.f64 #s(literal -1/3 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 r (/.f64 (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b) (cos.f64 (+.f64 a 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 (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 b)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 r (/.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (fma.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 b (*.f64 b (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b) (cos.f64 b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) b) (fma.f64 b (*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 b))) r) (*.f64 (fma.f64 b (*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 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 b)) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (*.f64 r (sin.f64 b))) |
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b)))) |
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 a))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b))) |
(*.f64 (/.f64 r (cos.f64 (fma.f64 a (/.f64 b a) a))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 b) (sin.f64 b)) r)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 (sin.f64 b) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a))))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b))) (/.f64 a r))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 (*.f64 b b) #s(literal 3/2 binary64)) b)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 #s(literal 1 binary64) r)) (cos.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 a (/.f64 b a) a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (cos.f64 b))) |
(*.f64 (/.f64 r (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 (/.f64 r (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 b (sin.f64 a)) r)) b)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b))))) |
(*.f64 (/.f64 r (cos.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))) |
(*.f64 (/.f64 r (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (-.f64 (*.f64 a #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) (*.f64 r (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 a) (neg.f64 b) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b)))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (fma.f64 (/.f64 (cos.f64 a) r) (*.f64 #s(literal -1/3 binary64) b) (neg.f64 (/.f64 (sin.f64 a) r))) (/.f64 (cos.f64 a) r)) b)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 b) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 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)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64))) (sin.f64 b)) |
(*.f64 (/.f64 r (-.f64 (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (cos.f64 a))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (cos.f64 b))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) (cos.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) a))))) |
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a))) (sin.f64 b)) |
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) (cos.f64 b))) |
(*.f64 r (/.f64 (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 r (/.f64 (sin.f64 b) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b))) #s(literal -1/2 binary64)) (cos.f64 (+.f64 b a)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 (/.f64 r (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b))))))) |
(*.f64 r (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (fma.f64 b (*.f64 (*.f64 #s(literal -1/6 binary64) b) b) b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) |
(*.f64 (/.f64 r (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (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)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) (sin.f64 b)) |
(*.f64 r (/.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) (sin.f64 b)) |
(*.f64 r (/.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (fma.f64 (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b)) |
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (fma.f64 (fma.f64 (*.f64 b 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)) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
5 calls:
| 90.0ms | r |
| 44.0ms | b |
| 42.0ms | a |
| 41.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 38.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.9% | 1 | r |
| 78.9% | 1 | a |
| 78.9% | 1 | b |
| 78.9% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 78.9% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 r (/.f64 #s(literal -1 binary64) a)) |
(*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 r b)) |
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 r (/.f64 #s(literal 6 binary64) (*.f64 a (*.f64 a a)))) |
(/.f64 (*.f64 r #s(literal 6 binary64)) (*.f64 a (*.f64 a a))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #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 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) |
(*.f64 r (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 a a))) (*.f64 a (*.f64 a a)))) |
(*.f64 (fma.f64 r (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) r) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal -1/6 binary64) (*.f64 r #s(literal 1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 (/.f64 r (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 b (fma.f64 a (/.f64 (*.f64 r b) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (/.f64 (*.f64 b b) r) #s(literal -2/945 binary64) (/.f64 #s(literal -1/45 binary64) r))) (/.f64 #s(literal -1/3 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 r (/.f64 (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b) (cos.f64 (+.f64 a 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 (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 b)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 r (/.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (fma.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 b (*.f64 b (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b) (cos.f64 b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) b) (fma.f64 b (*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 b))) r) (*.f64 (fma.f64 b (*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 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 b)) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
5 calls:
| 59.0ms | b |
| 32.0ms | a |
| 21.0ms | r |
| 20.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 15.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.9% | 1 | r |
| 78.9% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 78.9% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 78.9% | 1 | a |
| 78.9% | 1 | b |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 r (/.f64 #s(literal -1 binary64) a)) |
(*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 r b)) |
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 r (/.f64 #s(literal 6 binary64) (*.f64 a (*.f64 a a)))) |
(/.f64 (*.f64 r #s(literal 6 binary64)) (*.f64 a (*.f64 a a))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #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 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) |
(*.f64 r (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 a a))) (*.f64 a (*.f64 a a)))) |
(*.f64 (fma.f64 r (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) r) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal -1/6 binary64) (*.f64 r #s(literal 1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 (/.f64 r (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 b (fma.f64 a (/.f64 (*.f64 r b) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (/.f64 (*.f64 b b) r) #s(literal -2/945 binary64) (/.f64 #s(literal -1/45 binary64) r))) (/.f64 #s(literal -1/3 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 r (/.f64 (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b) (cos.f64 (+.f64 a 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 (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 b)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 r (/.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (fma.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 b (*.f64 b (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b) (cos.f64 b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) b) (fma.f64 b (*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 b))) r) (*.f64 (fma.f64 b (*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 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 b)) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) |
(*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) |
5 calls:
| 37.0ms | r |
| 22.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 19.0ms | a |
| 15.0ms | b |
| 14.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.3% | 1 | r |
| 65.7% | 3 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 78.8% | 3 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 79.1% | 3 | a |
| 78.9% | 3 | b |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 r (/.f64 #s(literal -1 binary64) a)) |
(*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 r b)) |
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 r (/.f64 #s(literal 6 binary64) (*.f64 a (*.f64 a a)))) |
(/.f64 (*.f64 r #s(literal 6 binary64)) (*.f64 a (*.f64 a a))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #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 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) |
(*.f64 r (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 a a))) (*.f64 a (*.f64 a a)))) |
(*.f64 (fma.f64 r (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) r) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal -1/6 binary64) (*.f64 r #s(literal 1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 (/.f64 r (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 b (fma.f64 a (/.f64 (*.f64 r b) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (/.f64 (*.f64 b b) r) #s(literal -2/945 binary64) (/.f64 #s(literal -1/45 binary64) r))) (/.f64 #s(literal -1/3 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 r (/.f64 (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b) (cos.f64 (+.f64 a 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 (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 b)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 r (/.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (fma.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 b (*.f64 b (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b) (cos.f64 b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) b) (fma.f64 b (*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 b))) r) (*.f64 (fma.f64 b (*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) |
1 calls:
| 40.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.0% | 3 | a |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 r (/.f64 #s(literal -1 binary64) a)) |
(*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 r b)) |
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 r (/.f64 #s(literal 6 binary64) (*.f64 a (*.f64 a a)))) |
(/.f64 (*.f64 r #s(literal 6 binary64)) (*.f64 a (*.f64 a a))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #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 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) |
(*.f64 r (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 a a))) (*.f64 a (*.f64 a a)))) |
(*.f64 (fma.f64 r (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) r) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal -1/6 binary64) (*.f64 r #s(literal 1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 (/.f64 r (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 b (fma.f64 a (/.f64 (*.f64 r b) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (/.f64 (*.f64 b b) r) #s(literal -2/945 binary64) (/.f64 #s(literal -1/45 binary64) r))) (/.f64 #s(literal -1/3 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 r (/.f64 (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b) (cos.f64 (+.f64 a 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 (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 b)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 r (/.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (fma.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 b (*.f64 b (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b) (cos.f64 b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) b) (fma.f64 b (*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 b))) r) (*.f64 (fma.f64 b (*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) |
| Outputs |
|---|
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) |
5 calls:
| 23.0ms | a |
| 20.0ms | r |
| 18.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 13.0ms | b |
| 13.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.8% | 1 | r |
| 56.8% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 56.8% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 56.8% | 1 | b |
| 56.8% | 1 | a |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 r (/.f64 #s(literal -1 binary64) a)) |
(*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 r b)) |
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 r (/.f64 #s(literal 6 binary64) (*.f64 a (*.f64 a a)))) |
(/.f64 (*.f64 r #s(literal 6 binary64)) (*.f64 a (*.f64 a a))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #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 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) |
(*.f64 r (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 a a))) (*.f64 a (*.f64 a a)))) |
(*.f64 (fma.f64 r (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) r) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal -1/6 binary64) (*.f64 r #s(literal 1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 (/.f64 r (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 b (fma.f64 a (/.f64 (*.f64 r b) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (/.f64 (*.f64 b b) r) #s(literal -2/945 binary64) (/.f64 #s(literal -1/45 binary64) r))) (/.f64 #s(literal -1/3 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 r (/.f64 (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b) (cos.f64 (+.f64 a 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 (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 b)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 r (/.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b)))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (fma.f64 b (fma.f64 a (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 b (*.f64 b (/.f64 #s(literal 1/6 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b) (cos.f64 b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) b) (fma.f64 b (*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 b))) r) (*.f64 (fma.f64 b (*.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (neg.f64 b)) (cos.f64 (+.f64 b a)))) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) |
5 calls:
| 42.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 31.0ms | a |
| 13.0ms | b |
| 13.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 13.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.4% | 1 | r |
| 53.4% | 1 | a |
| 56.7% | 3 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 53.4% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 55.4% | 2 | b |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 r (/.f64 #s(literal -1 binary64) a)) |
(*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 r b)) |
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 r (/.f64 #s(literal 6 binary64) (*.f64 a (*.f64 a a)))) |
(/.f64 (*.f64 r #s(literal 6 binary64)) (*.f64 a (*.f64 a a))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #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 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) |
(*.f64 r (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 a a))) (*.f64 a (*.f64 a a)))) |
(*.f64 (fma.f64 r (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) r) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal -1/6 binary64) (*.f64 r #s(literal 1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 (/.f64 r (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 b (fma.f64 a (/.f64 (*.f64 r b) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (/.f64 (*.f64 b b) r) #s(literal -2/945 binary64) (/.f64 #s(literal -1/45 binary64) r))) (/.f64 #s(literal -1/3 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 r (/.f64 (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b) (cos.f64 (+.f64 a 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 (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 b)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 r (/.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b)))) |
| Outputs |
|---|
(*.f64 r (/.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) |
1 calls:
| 11.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.4% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 r (/.f64 #s(literal -1 binary64) a)) |
(*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 r b)) |
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 r (/.f64 #s(literal 6 binary64) (*.f64 a (*.f64 a a)))) |
(/.f64 (*.f64 r #s(literal 6 binary64)) (*.f64 a (*.f64 a a))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #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 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) |
(*.f64 r (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 a a))) (*.f64 a (*.f64 a a)))) |
(*.f64 (fma.f64 r (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) r) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal -1/6 binary64) (*.f64 r #s(literal 1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 (/.f64 r (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 b (fma.f64 a (/.f64 (*.f64 r b) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (/.f64 (*.f64 b b) r) #s(literal -2/945 binary64) (/.f64 #s(literal -1/45 binary64) r))) (/.f64 #s(literal -1/3 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 b (neg.f64 a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 r (/.f64 (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b) (cos.f64 (+.f64 a 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 (cos.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r))) |
(*.f64 (/.f64 r (cos.f64 b)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
| Outputs |
|---|
(*.f64 b (/.f64 r (cos.f64 a))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) |
1 calls:
| 27.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.3% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 r (/.f64 #s(literal -1 binary64) a)) |
(*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 r b)) |
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 r (/.f64 #s(literal 6 binary64) (*.f64 a (*.f64 a a)))) |
(/.f64 (*.f64 r #s(literal 6 binary64)) (*.f64 a (*.f64 a a))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #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 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) |
(*.f64 r (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 a a))) (*.f64 a (*.f64 a a)))) |
(*.f64 (fma.f64 r (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) r) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal -1/6 binary64) (*.f64 r #s(literal 1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 (/.f64 r (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 b (fma.f64 a (/.f64 (*.f64 r b) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (/.f64 (*.f64 b b) r) #s(literal -2/945 binary64) (/.f64 #s(literal -1/45 binary64) r))) (/.f64 #s(literal -1/3 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r (/.f64 b (cos.f64 a))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (*.f64 r b) (/.f64 #s(literal 1 binary64) (cos.f64 a))) |
(/.f64 b (/.f64 (cos.f64 a) r)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r b))) |
| Outputs |
|---|
(*.f64 b (/.f64 r (cos.f64 a))) |
3 calls:
| 22.0ms | r |
| 9.0ms | b |
| 9.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.4% | 1 | r |
| 53.4% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 53.4% | 1 | b |
Compiled 18 to 13 computations (27.8% saved)
Total -22.1b remaining (-53.6%)
Threshold costs -22.1b (-53.6%)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 r (/.f64 #s(literal -1 binary64) a)) |
(*.f64 a (*.f64 a (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 r b)) |
(*.f64 b (fma.f64 b (*.f64 b (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(*.f64 r (/.f64 #s(literal 6 binary64) (*.f64 a (*.f64 a a)))) |
(/.f64 (*.f64 r #s(literal 6 binary64)) (*.f64 a (*.f64 a a))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 r (/.f64 b (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #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 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 a a) (fma.f64 r (/.f64 b (*.f64 a a)) (*.f64 b (*.f64 r #s(literal 1/2 binary64))))) |
(*.f64 r (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 a a))) (*.f64 a (*.f64 a a)))) |
(*.f64 (fma.f64 r (*.f64 (*.f64 b b) #s(literal 1/2 binary64)) r) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 b (/.f64 r (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (*.f64 r #s(literal 1/120 binary64)) (fma.f64 r #s(literal -1/6 binary64) (*.f64 r #s(literal 1/24 binary64)))) (*.f64 r #s(literal 1/3 binary64))) r)) |
(*.f64 (/.f64 r (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b b) r) (/.f64 #s(literal 1 binary64) r)) b)) |
(*.f64 (/.f64 r (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(*.f64 b (fma.f64 a (/.f64 (*.f64 r b) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 r (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (/.f64 (*.f64 b b) r) #s(literal -2/945 binary64) (/.f64 #s(literal -1/45 binary64) r))) (/.f64 #s(literal -1/3 binary64) r)) (/.f64 #s(literal 1 binary64) r)) b)) |
| Outputs |
|---|
(*.f64 r b) |
5 calls:
| 25.0ms | a |
| 7.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 7.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 7.0ms | b |
| 7.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.6% | 1 | b |
| 35.6% | 1 | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
| 35.6% | 1 | a |
| 35.6% | 1 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
| 35.6% | 1 | r |
Compiled 34 to 24 computations (29.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 1.7108054796768974e-8 | 1.7342752419538567 |
| 17.0ms | -1.0928435723438588e-5 | -3.6192696958011704e-9 |
| 23.0ms | 112× | 1 | valid |
| 10.0ms | 160× | 0 | valid |
Compiled 389 to 286 computations (26.5% saved)
ival-cos: 11.0ms (43.8% of total)ival-sin: 6.0ms (23.9% of total)ival-add: 2.0ms (8% of total)ival-div: 2.0ms (8% of total)adjust: 2.0ms (8% of total)ival-mult: 2.0ms (8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.7108054796768974e-8 | 1.7342752419538567 |
| 1.0ms | -1.0928435723438588e-5 | -3.6192696958011704e-9 |
Compiled 389 to 286 computations (26.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 38.0ms | 1.3221743961904296e-5 | 1800196.5121617892 |
| 24.0ms | 79× | 1 | valid |
| 7.0ms | 81× | 0 | valid |
Compiled 395 to 254 computations (35.7% saved)
ival-cos: 5.0ms (34.7% of total)ival-sin: 4.0ms (27.8% of total)ival-add: 1.0ms (6.9% of total)ival-div: 1.0ms (6.9% of total)adjust: 1.0ms (6.9% of total)ival-mult: 1.0ms (6.9% 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 |
|---|---|---|
| 1.0ms | 1.3221743961904296e-5 | 1800196.5121617892 |
Compiled 395 to 254 computations (35.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 377050612864.17194 | 1642745325504.4976 |
| 8.0ms | 48× | 1 | valid |
| 5.0ms | 48× | 0 | valid |
Compiled 159 to 116 computations (27% saved)
ival-sin: 3.0ms (31.1% of total)ival-cos: 3.0ms (31.1% of total)ival-add: 1.0ms (10.4% of total)ival-div: 1.0ms (10.4% of total)adjust: 1.0ms (10.4% of total)ival-mult: 1.0ms (10.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 40× | *-commutative_binary64 |
| 10× | +-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 8× | cancel-sign-sub-inv_binary64 |
| 6× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 222 |
| 1 | 98 | 222 |
| 2 | 109 | 222 |
| 3 | 114 | 222 |
| 4 | 116 | 222 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(if (<=.f64 a #s(literal -5312662293228351/590295810358705651712 binary64)) (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) (if (<=.f64 a #s(literal 8618318831237103/590295810358705651712 binary64)) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)))) |
(if (<=.f64 a #s(literal -5312662293228351/590295810358705651712 binary64)) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (if (<=.f64 a #s(literal 8618318831237103/590295810358705651712 binary64)) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) |
(if (<=.f64 b #s(literal 3039929748475085/1125899906842624 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))) |
(if (<=.f64 b #s(literal 3039929748475085/1125899906842624 binary64)) (*.f64 r (/.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))) |
(if (<=.f64 b #s(literal 460000000000 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r b) |
| Outputs |
|---|
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b)) |
(*.f64 (sin.f64 b) (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(if (<=.f64 a #s(literal -5312662293228351/590295810358705651712 binary64)) (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)) (if (<=.f64 a #s(literal 8618318831237103/590295810358705651712 binary64)) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (/.f64 r (cos.f64 a)) (sin.f64 b)))) |
(if (<=.f64 a #s(literal -5312662293228351/590295810358705651712 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) (if (<=.f64 a #s(literal 8618318831237103/590295810358705651712 binary64)) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))))) |
(if (<=.f64 a #s(literal -5312662293228351/590295810358705651712 binary64)) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) (if (<=.f64 a #s(literal 8618318831237103/590295810358705651712 binary64)) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))))) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a))) |
(if (<=.f64 b #s(literal 3039929748475085/1125899906842624 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))) |
(if (<=.f64 b #s(literal 3039929748475085/1125899906842624 binary64)) (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))) |
(if (<=.f64 b #s(literal 3039929748475085/1125899906842624 binary64)) (*.f64 r (/.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))) |
(if (<=.f64 b #s(literal 3039929748475085/1125899906842624 binary64)) (*.f64 r (/.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))) |
(if (<=.f64 b #s(literal 460000000000 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))) |
(if (<=.f64 b #s(literal 460000000000 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 r b) |
| 9 898× | lower-fma.f64 |
| 9 898× | lower-fma.f32 |
| 9 408× | lower-fma.f64 |
| 9 408× | lower-fma.f32 |
| 9 386× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 215 | 1226 |
| 1 | 660 | 1174 |
| 2 | 2069 | 1116 |
| 3 | 7705 | 1116 |
| 0 | 8285 | 1075 |
| 0 | 8 | 22 |
| 0 | 13 | 22 |
| 1 | 44 | 22 |
| 2 | 234 | 22 |
| 3 | 1985 | 22 |
| 0 | 10212 | 22 |
| 0 | 662 | 6353 |
| 1 | 2197 | 6054 |
| 2 | 7380 | 6011 |
| 0 | 8135 | 5786 |
| 0 | 712 | 8553 |
| 1 | 2393 | 8092 |
| 0 | 8392 | 7716 |
| 0 | 719 | 7580 |
| 1 | 2342 | 7361 |
| 2 | 7733 | 7295 |
| 0 | 8013 | 6998 |
| 0 | 29 | 159 |
| 0 | 55 | 136 |
| 1 | 185 | 136 |
| 2 | 1192 | 136 |
| 0 | 8364 | 136 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 666 to 347 computations (47.9% saved)
(negabs r)
Compiled 664 to 256 computations (61.4% saved)
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