
Time bar (total: 13.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 8 |
| 18.8% | 18.7% | 81.1% | 0.1% | 0% | 0% | 0% | 9 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 10 |
| 21.9% | 21.8% | 78% | 0.1% | 0% | 0% | 0% | 11 |
| 23.4% | 23.4% | 76.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 10 computations (9.1% saved)
| 1.0s | 5 859× | 1 | valid |
| 266.0ms | 2 397× | 0 | valid |
ival-cos: 321.0ms (31.6% of total)ival-sin: 261.0ms (25.7% of total)ival-mult: 174.0ms (17.1% of total)adjust: 110.0ms (10.8% of total)ival-add: 73.0ms (7.2% of total)ival-div: 68.0ms (6.7% of total)ival-true: 6.0ms (0.6% of total)ival-assert: 3.0ms (0.3% of total)| 1× | egg-herbie |
| 692× | times-frac |
| 392× | associate-*r* |
| 382× | unsub-neg |
| 370× | div-sub |
| 360× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 88 |
| 1 | 89 | 84 |
| 2 | 193 | 84 |
| 3 | 478 | 84 |
| 4 | 1399 | 84 |
| 5 | 2338 | 84 |
| 6 | 2925 | 84 |
| 7 | 3299 | 84 |
| 8 | 3481 | 84 |
| 9 | 3698 | 84 |
| 10 | 3927 | 84 |
| 11 | 3933 | 84 |
| 12 | 3933 | 84 |
| 13 | 3941 | 84 |
| 14 | 3961 | 84 |
| 15 | 3969 | 84 |
| 16 | 3969 | 84 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 17 | 9 |
| 2 | 20 | 9 |
| 3 | 21 | 9 |
| 0 | 21 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(negabs r)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 66 | 124 | (1.4611576530050406e-272 -2.3453832909350653e-163 1.4739125771463023e+54) | 0 | - | (cos.f64 (+.f64 a b)) |
| 0 | 0 | - | 0 | - | (+.f64 a b) |
| 0 | 0 | - | 0 | - | (sin.f64 b) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (*.f64 r (sin.f64 b)) |
| 0 | 0 | - | 0 | - | r |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
cos.f64 | (cos.f64 (+.f64 a b)) | sensitivity | 190 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 66 | 0 |
| - | 124 | 66 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 66 | 0 | 0 |
| - | 124 | 1 | 65 |
| number | freq |
|---|---|
| 0 | 66 |
| 1 | 190 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 85.0ms | 358× | 1 | valid |
| 12.0ms | 154× | 0 | valid |
Compiled 78 to 36 computations (53.8% saved)
ival-cos: 35.0ms (46.8% of total)ival-sin: 14.0ms (18.7% of total)ival-add: 11.0ms (14.7% of total)adjust: 6.0ms (8% of total)ival-div: 4.0ms (5.3% of total)ival-mult: 3.0ms (4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.9% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 (+.f64 a b)) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (*.f64 r (sin.f64 b)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 12× | lower-*.f32 |
| 10× | lower-*.f64 |
| 6× | *-commutative |
| 6× | lower-/.f32 |
| 4× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 25 |
| 0 | 13 | 25 |
| 1 | 17 | 25 |
| 2 | 20 | 25 |
| 3 | 21 | 25 |
| 0 | 21 | 25 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(+.f64 a b) |
a |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(cos.f64 (+.f64 a b)) |
(cos.f64 (+.f64 b a)) |
(+.f64 a b) |
(+.f64 b a) |
a |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 b) |
| ✓ | accuracy | 99.8% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| ✓ | accuracy | 78.1% | (cos.f64 (+.f64 a b)) |
| 34.0ms | 179× | 1 | valid |
| 6.0ms | 77× | 0 | valid |
Compiled 27 to 10 computations (63% saved)
ival-cos: 14.0ms (49.3% of total)ival-sin: 6.0ms (21.1% of total)adjust: 3.0ms (10.6% of total)ival-add: 2.0ms (7% of total)ival-div: 2.0ms (7% of total)ival-mult: 2.0ms (7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))> |
#<alt (*.f64 r (sin.f64 b))> |
#<alt (sin.f64 b)> |
#<alt (cos.f64 (+.f64 a b))> |
| Outputs |
|---|
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* b r)> |
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))> |
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))> |
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt b> |
#<alt (* b (+ 1 (* -1/6 (pow b 2))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | b | @ | inf | (* r (sin b)) |
| 2.0ms | r | @ | 0 | (/ (* r (sin b)) (cos (+ a b))) |
| 1.0ms | r | @ | inf | (/ (* r (sin b)) (cos (+ a b))) |
| 1.0ms | b | @ | inf | (/ (* r (sin b)) (cos (+ a b))) |
| 1.0ms | r | @ | -inf | (/ (* r (sin b)) (cos (+ a b))) |
| 1× | batch-egg-rewrite |
| 6 510× | lower-*.f32 |
| 6 508× | lower-*.f64 |
| 3 846× | lower-fma.f64 |
| 3 846× | lower-fma.f32 |
| 3 176× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 44 | 19 |
| 2 | 234 | 19 |
| 3 | 2050 | 19 |
| 0 | 8441 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(cos.f64 (+.f64 a b)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) (neg.f64 r)))) |
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) (neg.f64 r)) #s(literal 1 binary64)) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) #s(literal -1 binary64)) (cos.f64 (+.f64 b a))) |
(pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) (neg.f64 r))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a))))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) |
(neg.f64 (*.f64 (sin.f64 b) (neg.f64 r))) |
(*.f64 r (sin.f64 b)) |
(*.f64 r (neg.f64 (sin.f64 (neg.f64 b)))) |
(*.f64 r (*.f64 (sin.f64 b) #s(literal 1 binary64))) |
(*.f64 (sin.f64 b) r) |
(*.f64 (sin.f64 b) (neg.f64 (neg.f64 r))) |
(*.f64 (sin.f64 b) (*.f64 r #s(literal 1 binary64))) |
(*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) |
(*.f64 (sin.f64 (neg.f64 b)) (neg.f64 r)) |
(*.f64 (neg.f64 r) (sin.f64 (neg.f64 b))) |
(*.f64 (neg.f64 (sin.f64 (neg.f64 b))) r) |
(*.f64 (neg.f64 (neg.f64 r)) (sin.f64 b)) |
(sin.f64 b) |
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(+.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a))))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))) |
(cos.f64 (+.f64 b a)) |
(cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))) |
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))) |
(cos.f64 (/.f64 (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))) (fma.f64 a (-.f64 a b) (*.f64 b b)))) |
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (neg.f64 (-.f64 a b))) (-.f64 a b))) |
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) |
(-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) (/.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 a b)))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (neg.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (neg.f64 (/.f64 (*.f64 b b) (-.f64 a b)))))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 (sin.f64 a) (sin.f64 (neg.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b))))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a))))) |
(neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b))) |
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) |
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (neg.f64 (cos.f64 (-.f64 a b)))) |
(/.f64 (-.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal -2 binary64)) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64)) |
(pow.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)) |
(*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))) |
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))) |
| 1× | egg-herbie |
| 10 934× | lower-fma.f64 |
| 10 934× | lower-fma.f32 |
| 4 746× | lower-*.f64 |
| 4 746× | lower-*.f32 |
| 2 894× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 960 |
| 1 | 517 | 928 |
| 2 | 1595 | 886 |
| 3 | 5409 | 885 |
| 0 | 8292 | 853 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
| Outputs |
|---|
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* b r) (cos a)) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 b (-.f64 (/.f64 (*.f64 (sin.f64 a) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos b)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 r (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 a (fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (neg.f64 a))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 a (-.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (fma.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (*.f64 a (fma.f64 (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))) a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* b r) |
(*.f64 r b) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r)) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 r (*.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 r #s(literal -1/6 binary64))) r)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
(* r (sin b)) |
(*.f64 r (sin.f64 b)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(sin b) |
(sin.f64 b) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
Compiled 3 879 to 535 computations (86.2% saved)
32 alts after pruning (32 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 201 | 32 | 233 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 202 | 32 | 234 |
| Status | Accuracy | Program |
|---|---|---|
| 45.4% | (pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 33.7% | (pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64)) | |
| 52.8% | (/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))) | |
| 52.9% | (/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) | |
| ▶ | 99.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) | |
| 53.9% | (/.f64 (*.f64 r (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))) | |
| 53.9% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))) | |
| ▶ | 59.8% | (/.f64 (*.f64 r (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))) |
| 59.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))) | |
| 98.9% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))) | |
| 77.8% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)))) | |
| ▶ | 59.9% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
| 54.7% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) | |
| 62.0% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) | |
| 57.0% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) | |
| 53.3% | (/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) | |
| ▶ | 53.3% | (/.f64 (*.f64 r b) (cos.f64 a)) |
| 52.8% | (/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b))) | |
| 77.8% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) | |
| 76.8% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) | |
| 77.8% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) | |
| ▶ | 77.9% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
| 77.9% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) | |
| 77.9% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) | |
| 77.9% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) | |
| 77.9% | (*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) | |
| 77.9% | (*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) | |
| 53.4% | (*.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)))) | |
| 53.1% | (*.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)))) | |
| 33.7% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
Compiled 1 224 to 770 computations (37.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (*.f64 r (sin.f64 b)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (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))) |
| ✓ | cost-diff | 6080 | (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)) |
| ✓ | cost-diff | 0 | (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (*.f64 r (sin.f64 b)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
| ✓ | cost-diff | 0 | (cos.f64 (+.f64 b a)) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
| ✓ | cost-diff | 0 | (cos.f64 a) |
| ✓ | cost-diff | 0 | (*.f64 r b) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r b) (cos.f64 a)) |
| ✓ | cost-diff | 0 | (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (*.f64 r (sin.f64 b)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 6 088× | lower-fma.f32 |
| 6 080× | lower-fma.f64 |
| 2 504× | lower-*.f32 |
| 2 488× | lower-*.f64 |
| 1 006× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 219 |
| 0 | 62 | 219 |
| 1 | 113 | 219 |
| 2 | 212 | 219 |
| 3 | 373 | 219 |
| 4 | 582 | 219 |
| 5 | 1026 | 219 |
| 6 | 1877 | 219 |
| 7 | 2788 | 219 |
| 8 | 3465 | 219 |
| 9 | 4035 | 219 |
| 10 | 4795 | 219 |
| 11 | 5327 | 219 |
| 12 | 5648 | 219 |
| 13 | 5805 | 219 |
| 14 | 5930 | 219 |
| 15 | 6106 | 219 |
| 16 | 6224 | 219 |
| 17 | 6282 | 219 |
| 18 | 6286 | 219 |
| 19 | 6292 | 219 |
| 20 | 6296 | 219 |
| 21 | 6300 | 219 |
| 22 | 6300 | 219 |
| 23 | 6878 | 219 |
| 24 | 7134 | 219 |
| 25 | 7134 | 219 |
| 26 | 7238 | 219 |
| 27 | 7407 | 219 |
| 28 | 7407 | 219 |
| 29 | 7415 | 219 |
| 30 | 7439 | 219 |
| 31 | 7464 | 219 |
| 32 | 7464 | 219 |
| 33 | 7476 | 219 |
| 0 | 7476 | 219 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(sin.f64 (neg.f64 b)) |
(neg.f64 b) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 a) |
(cos.f64 b) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 r b) |
r |
b |
(cos.f64 a) |
a |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(sin.f64 b) |
b |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
a |
r |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(cos.f64 b) |
(*.f64 (sin.f64 b) a) |
a |
(/.f64 (*.f64 r (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 (sin.f64 b)) |
r |
(sin.f64 b) |
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)) |
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)))) |
(fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(*.f64 a #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
(*.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 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (sin.f64 (neg.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(fma.f64 (sin.f64 b) (sin.f64 (neg.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(sin.f64 (neg.f64 b)) |
(neg.f64 b) |
(sin.f64 a) |
a |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos.f64 a) |
(cos.f64 b) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 r b) |
r |
b |
(cos.f64 a) |
a |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(sin.f64 b) |
b |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
a |
r |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(cos.f64 b) |
(*.f64 (sin.f64 b) a) |
a |
(/.f64 (*.f64 r (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 (*.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 (*.f64 (sin.f64 b) a) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
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)) |
(fma.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
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)))) |
(fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) |
(fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(*.f64 a #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
(*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) |
(*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 b)) |
(*.f64 (cos.f64 b) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(cos.f64 b) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 99.5% | (*.f64 a #s(literal 1/6 binary64)) |
| ✓ | accuracy | 95.1% | (/.f64 (*.f64 r (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))) |
| ✓ | accuracy | 94.4% | (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)))) |
| ✓ | accuracy | 100.0% | (cos.f64 b) |
| ✓ | accuracy | 99.8% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 b) a) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
| ✓ | accuracy | 100.0% | (sin.f64 b) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
| ✓ | accuracy | 99.7% | (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
| ✓ | accuracy | 78.1% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 100.0% | (*.f64 r b) |
| ✓ | accuracy | 100.0% | (cos.f64 a) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 r b) (cos.f64 a)) |
| ✓ | accuracy | 99.9% | (*.f64 (cos.f64 a) (cos.f64 b)) |
| ✓ | accuracy | 99.8% | (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
| ✓ | accuracy | 99.8% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 164.0ms | 176× | 1 | valid |
| 29.0ms | 80× | 0 | valid |
Compiled 232 to 38 computations (83.6% saved)
const: 29.0ms (18.2% of total)ival-mult: 27.0ms (17% of total)ival-add: 26.0ms (16.4% of total)ival-cos: 25.0ms (15.7% of total)ival-sin: 22.0ms (13.8% of total)ival-div: 13.0ms (8.2% of total)adjust: 13.0ms (8.2% of total)ival-sub: 2.0ms (1.3% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))> |
#<alt (*.f64 r (sin.f64 b))> |
#<alt (sin.f64 b)> |
#<alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))> |
#<alt (/.f64 (*.f64 r b) (cos.f64 a))> |
#<alt (*.f64 r b)> |
#<alt (cos.f64 a)> |
#<alt (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)> |
#<alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))> |
#<alt (cos.f64 (+.f64 b a))> |
#<alt (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))> |
#<alt (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))> |
#<alt (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))> |
#<alt (/.f64 (*.f64 r (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)))> |
#<alt (*.f64 (cos.f64 a) (cos.f64 b))> |
#<alt (*.f64 (sin.f64 b) a)> |
#<alt (cos.f64 b)> |
#<alt (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))))> |
#<alt (*.f64 a #s(literal 1/6 binary64))> |
| Outputs |
|---|
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* b r)> |
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))> |
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))> |
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt b> |
#<alt (* b (+ 1 (* -1/6 (pow b 2))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))> |
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* a (sin (neg b))))> |
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))> |
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (/ (* b r) (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)))))> |
#<alt (+ (* 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)))))> |
#<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 (* 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)> |
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#<alt (* b r)> |
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#<alt (* b r)> |
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#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt (* b r)> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow a 2)))> |
#<alt (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))> |
#<alt (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (cos a)> |
#<alt (/ (* 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))))> |
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#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
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#<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)))> |
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#<alt (/ (* r (sin b)) (cos (+ a b)))> |
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#<alt (/ b (cos a))> |
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#<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)))> |
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#<alt (/ (sin b) (cos (+ a b)))> |
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#<alt (/ (sin b) (cos (+ a b)))> |
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#<alt (/ (sin b) (cos (- b (* -1 a))))> |
#<alt (cos a)> |
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#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<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 (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (* b r)> |
#<alt (* b (+ r (* a (* b r))))> |
#<alt (* b (+ r (* b (- (* b (- (* -1/6 r) (+ (* -1 (* (pow a 2) r)) (* -1/2 r)))) (* -1 (* a r))))))> |
#<alt (* b (+ r (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (* a (- (* -1/6 r) (+ (* -1 (* (pow a 2) r)) (* -1/2 r))))) (+ (* -1/2 (* a r)) (* 1/6 (* a r)))))) (* -1/6 r)) (+ (* -1 (* (pow a 2) r)) (* -1/2 r)))) (* -1 (* a r))))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
#<alt (/ (* r (sin b)) (- (cos b) (* a (sin b))))> |
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#<alt (* -1 (/ r a))> |
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#<alt (/ (- (+ (* -1 r) (* -1 (/ (* r (pow (cos b) 3)) (* (pow a 3) (pow (sin b) 3))))) (+ (/ (* r (cos b)) (* a (sin b))) (/ (* r (pow (cos b) 2)) (* (pow a 2) (pow (sin b) 2))))) a)> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ (+ r (/ (* r (cos b)) (* a (sin b)))) a))> |
#<alt (* -1 (/ (+ r (* -1 (/ (- (* -1 (/ (* r (pow (cos b) 2)) (* a (pow (sin b) 2)))) (/ (* r (cos b)) (sin b))) a))) a))> |
#<alt (* -1 (/ (+ r (* -1 (/ (- (* -1 (/ (- (/ (* r (pow (cos b) 3)) (* a (pow (sin b) 3))) (* -1 (/ (* r (pow (cos b) 2)) (pow (sin b) 2)))) a)) (/ (* r (cos b)) (sin b))) a))) a))> |
#<alt 1> |
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#<alt (+ 1 (* b (- (* b (- (* 1/6 (* a b)) 1/2)) a)))> |
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#<alt (- (cos b) (* a (sin b)))> |
#<alt (- (cos b) (* a (sin b)))> |
#<alt (- (cos b) (* a (sin b)))> |
#<alt (- (cos b) (* a (sin b)))> |
#<alt (- (cos b) (* a (sin b)))> |
#<alt (- (cos b) (* a (sin b)))> |
#<alt (- (cos b) (* a (sin b)))> |
#<alt (cos b)> |
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#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (* -1 (* a (sin b)))> |
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#<alt (* a (- (/ (cos b) a) (sin b)))> |
#<alt (* a (- (/ (cos b) a) (sin b)))> |
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#<alt (* -1 (* a (- (* -1 (/ (cos b) a)) (* -1 (sin b)))))> |
#<alt (* -1 (* a (- (* -1 (/ (cos b) a)) (* -1 (sin b)))))> |
#<alt (cos b)> |
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#<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 (* 1/6 (* (pow a 3) (sin b)))> |
#<alt (* (pow a 3) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b))))> |
#<alt (* (pow a 3) (+ (* -1 (/ (sin b) (pow a 2))) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b)))))> |
#<alt (* (pow a 3) (+ (* -1 (/ (sin b) (pow a 2))) (+ (* -1/2 (/ (cos b) a)) (+ (* 1/6 (sin b)) (/ (cos b) (pow a 3))))))> |
#<alt (* 1/6 (* (pow a 3) (sin b)))> |
#<alt (* -1 (* (pow a 3) (+ (* -1/6 (sin b)) (* 1/2 (/ (cos b) a)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))) a)) (* -1/6 (sin b)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b))) a)) (* -1/6 (sin b)))))> |
#<alt (+ 1 (* -1/2 (pow a 2)))> |
#<alt (+ 1 (+ (* -1/2 (pow a 2)) (* a (* b (- (* 1/6 (pow a 2)) 1)))))> |
#<alt (+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* a (- (* 1/6 (pow a 2)) 1)) (* b (- (* 1/4 (pow a 2)) 1/2))))))> |
#<alt (+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* a (- (* 1/6 (pow a 2)) 1)) (* b (- (+ (* -1/6 (* a (* b (- (* 1/6 (pow a 2)) 1)))) (* 1/4 (pow a 2))) 1/2))))))> |
#<alt (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))> |
#<alt (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))> |
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#<alt (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))> |
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#<alt (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))> |
#<alt (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))> |
#<alt (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))> |
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (* b (+ (* -1 (/ (* a (* b (* r (- (* 1/6 (pow a 2)) 1)))) (pow (+ 1 (* -1/2 (pow a 2))) 2))) (/ r (+ 1 (* -1/2 (pow a 2))))))> |
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (+ (* -1 (/ (* (pow a 2) (* r (pow (- (* 1/6 (pow a 2)) 1) 2))) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ (* a (* r (- (* 1/6 (pow a 2)) 1))) (pow (+ 1 (* -1/2 (pow a 2))) 2)))) (/ r (+ 1 (* -1/2 (pow a 2))))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* a (* r (* (- (* 1/6 (pow a 2)) 1) (- (* 1/4 (pow a 2)) 1/2)))) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (+ (* -1/6 (/ (* a (* r (- (* 1/6 (pow a 2)) 1))) (pow (+ 1 (* -1/2 (pow a 2))) 2))) (/ (* a (* (- (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (+ (* -1 (/ (* (pow a 2) (* r (pow (- (* 1/6 (pow a 2)) 1) 2))) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2)))) (- (* 1/6 (pow a 2)) 1))) (+ 1 (* -1/2 (pow a 2)))))))) (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2)))))) (+ (* -1 (/ (* (pow a 2) (* r (pow (- (* 1/6 (pow a 2)) 1) 2))) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ (* a (* r (- (* 1/6 (pow a 2)) 1))) (pow (+ 1 (* -1/2 (pow a 2))) 2)))) (/ r (+ 1 (* -1/2 (pow a 2))))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))> |
#<alt (/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))))> |
#<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 (* 6 (/ r (pow a 3)))> |
#<alt (/ (+ (* 6 r) (* 18 (/ (* r (cos b)) (* a (sin b))))) (pow a 3))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -54 (/ (* r (pow (cos b) 2)) (pow (sin b) 2))) (* -36 r)) (pow a 2))) (* 6 r)) (* -18 (/ (* r (cos b)) (* a (sin b))))) (pow a 3))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -108 (/ (* r (cos b)) (sin b))) (+ (* 3 (/ (* (cos b) (+ (* -54 (/ (* r (pow (cos b) 2)) (pow (sin b) 2))) (* -36 r))) (sin b))) (* 36 (/ (* r (cos b)) (sin b))))) (pow a 3))) (* 6 r)) (+ (* -54 (/ (* r (pow (cos b) 2)) (* (pow a 2) (pow (sin b) 2)))) (+ (* -36 (/ r (pow a 2))) (* -18 (/ (* r (cos b)) (* a (sin b))))))) (pow a 3))> |
#<alt (* 6 (/ r (pow a 3)))> |
#<alt (* -1 (/ (+ (* -18 (/ (* r (cos b)) (* a (sin b)))) (* -6 r)) (pow a 3)))> |
#<alt (* -1 (/ (+ (* -6 r) (* -1 (/ (- (+ (* 36 (/ r a)) (* 54 (/ (* r (pow (cos b) 2)) (* a (pow (sin b) 2))))) (* -18 (/ (* r (cos b)) (sin b)))) a))) (pow a 3)))> |
#<alt (* -1 (/ (+ (* -6 r) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (* r (cos b)) (* a (sin b)))) (+ (* -3 (/ (* (cos b) (+ (* 36 r) (* 54 (/ (* r (pow (cos b) 2)) (pow (sin b) 2))))) (* a (sin b)))) (* 36 (/ (* r (cos b)) (* a (sin b)))))) (+ (* 36 r) (* 54 (/ (* r (pow (cos b) 2)) (pow (sin b) 2))))) a)) (* -18 (/ (* r (cos b)) (sin b)))) a))) (pow a 3)))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))> |
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))> |
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))> |
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))> |
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* (cos a) (cos b))> |
#<alt (* 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))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow b 2)))> |
#<alt (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))> |
#<alt (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (cos b)> |
#<alt (* -1/2 a)> |
#<alt (+ (* -1/2 a) (* b (- (* 1/6 (pow a 2)) 1)))> |
#<alt (+ (* -1/2 a) (* b (- (+ (* 1/6 (pow a 2)) (* 1/4 (* a b))) 1)))> |
#<alt (+ (* -1/2 a) (* b (- (+ (* 1/6 (pow a 2)) (* b (+ (* -1/6 (* b (- (* 1/6 (pow a 2)) 1))) (* 1/4 a)))) 1)))> |
#<alt (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))> |
#<alt (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))> |
#<alt (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))> |
#<alt (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))> |
#<alt (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))> |
#<alt (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))> |
#<alt (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))> |
#<alt (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))> |
#<alt (* -1 (sin b))> |
#<alt (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))> |
#<alt (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))> |
#<alt (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))> |
#<alt (* 1/6 (* (pow a 2) (sin b)))> |
#<alt (* (pow a 2) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) (pow a 2))) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b)))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (sin b) (pow a 2))) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b)))))> |
#<alt (* 1/6 (* (pow a 2) (sin b)))> |
#<alt (* (pow a 2) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* 1/2 (cos b)) (/ (sin b) a)) a)) (* 1/6 (sin b))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* 1/2 (cos b)) (/ (sin b) a)) a)) (* 1/6 (sin b))))> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
117 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 144.0ms | a | @ | -inf | (/ (* r (sin b)) (+ (* a (+ (* (sin b) (+ (* a (* a 1/6)) -1)) (* a (* -1/2 (cos b))))) (cos b))) |
| 9.0ms | r | @ | 0 | (/ (* r (sin b)) (+ (* a (+ (* (sin b) (+ (* a (* a 1/6)) -1)) (* a (* -1/2 (cos b))))) (cos b))) |
| 5.0ms | r | @ | inf | (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) |
| 4.0ms | r | @ | 0 | (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) |
| 4.0ms | r | @ | 0 | (/ (* r b) (cos a)) |
| 1× | batch-egg-rewrite |
| 4 508× | lower-/.f32 |
| 4 498× | lower-/.f64 |
| 4 338× | lower-fma.f32 |
| 4 330× | lower-fma.f64 |
| 4 180× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 155 |
| 0 | 62 | 169 |
| 1 | 232 | 141 |
| 2 | 1702 | 141 |
| 0 | 8281 | 141 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 r b) |
(cos.f64 a) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(cos.f64 (+.f64 b a)) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(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 (*.f64 r (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 (cos.f64 a) (cos.f64 b)) |
(*.f64 (sin.f64 b) a) |
(cos.f64 b) |
(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)))) |
(*.f64 a #s(literal 1/6 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 (+.f64 b a)))) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) (*.f64 r #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 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 r))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 (neg.f64 r) (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 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 r)))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) r)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))) |
(*.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (/.f64 #s(literal 1 binary64) (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))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 r))) (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (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 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b))))))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 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 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
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(*.f64 a (sin.f64 b)) |
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(cos.f64 b) |
(cos.f64 (neg.f64 b)) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 b) a) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.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 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64))))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.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)))))) (neg.f64 (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (sin.f64 b) (*.f64 a a)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (+.f64 (sin.f64 (neg.f64 b)) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 a #s(literal 1/6 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (sin.f64 (neg.f64 b)) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) (+.f64 (sin.f64 (neg.f64 b)) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))) (*.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 a #s(literal 1/6 binary64)))) (+.f64 (sin.f64 (neg.f64 b)) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (*.f64 (sin.f64 b) (*.f64 a (*.f64 a #s(literal 1/6 binary64))))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) (fma.f64 (fma.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (*.f64 (sin.f64 b) (*.f64 a (*.f64 a #s(literal 1/6 binary64))))) (fma.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (*.f64 (sin.f64 b) (*.f64 a (*.f64 a #s(literal 1/6 binary64))))) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (fma.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (*.f64 (sin.f64 b) (*.f64 a (*.f64 a #s(literal 1/6 binary64))))) (sin.f64 (neg.f64 b)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.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 (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64)))) (-.f64 (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.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 (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.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 (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64)))) (-.f64 (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64)))) (-.f64 (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.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 (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64)))) (-.f64 (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 b) a) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (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 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))))))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 b) a) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.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 (*.f64 (sin.f64 b) (*.f64 (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) a)) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))) |
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 b) a) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.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 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))))))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))))))) |
(*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 a #s(literal -1/2 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (*.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 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (*.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
(*.f64 a #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) a) |
| 1× | egg-herbie |
| 9 038× | lower-fma.f64 |
| 9 038× | lower-fma.f32 |
| 7 502× | lower-*.f64 |
| 7 502× | lower-*.f32 |
| 3 206× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 730 | 6440 |
| 1 | 2309 | 6191 |
| 2 | 7871 | 6153 |
| 0 | 8170 | 5822 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (cos b)) |
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(cos b) |
(+ (cos b) (* a (sin (neg b)))) |
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b))))))))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(* b r) |
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r)) |
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r))))) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(/ (* b r) (cos a)) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
1 |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2))) |
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2))) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(cos a) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos (- a (* -1 b)))) |
(/ (sin b) (cos b)) |
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (+ a b))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(* b r) |
(* b (+ r (* a (* b r)))) |
(* b (+ r (* b (- (* b (- (* -1/6 r) (+ (* -1 (* (pow a 2) r)) (* -1/2 r)))) (* -1 (* a r)))))) |
(* b (+ r (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (* a (- (* -1/6 r) (+ (* -1 (* (pow a 2) r)) (* -1/2 r))))) (+ (* -1/2 (* a r)) (* 1/6 (* a r)))))) (* -1/6 r)) (+ (* -1 (* (pow a 2) r)) (* -1/2 r)))) (* -1 (* a r)))))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/ (* r (sin b)) (- (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 (- (/ (* a (* r (pow (sin b) 3))) (pow (cos b) 3)) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (/ (* a (* r (pow (sin b) 4))) (pow (cos b) 4)) (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(* -1 (/ r a)) |
(/ (+ (* -1 r) (* -1 (/ (* r (cos b)) (* a (sin b))))) a) |
(/ (- (+ (* -1 r) (* -1 (/ (* r (pow (cos b) 2)) (* (pow a 2) (pow (sin b) 2))))) (/ (* r (cos b)) (* a (sin b)))) a) |
(/ (- (+ (* -1 r) (* -1 (/ (* r (pow (cos b) 3)) (* (pow a 3) (pow (sin b) 3))))) (+ (/ (* r (cos b)) (* a (sin b))) (/ (* r (pow (cos b) 2)) (* (pow a 2) (pow (sin b) 2))))) a) |
(* -1 (/ r a)) |
(* -1 (/ (+ r (/ (* r (cos b)) (* a (sin b)))) a)) |
(* -1 (/ (+ r (* -1 (/ (- (* -1 (/ (* r (pow (cos b) 2)) (* a (pow (sin b) 2)))) (/ (* r (cos b)) (sin b))) a))) a)) |
(* -1 (/ (+ r (* -1 (/ (- (* -1 (/ (- (/ (* r (pow (cos b) 3)) (* a (pow (sin b) 3))) (* -1 (/ (* r (pow (cos b) 2)) (pow (sin b) 2)))) a)) (/ (* r (cos b)) (sin b))) a))) a)) |
1 |
(+ 1 (* -1 (* a b))) |
(+ 1 (* b (- (* -1/2 b) a))) |
(+ 1 (* b (- (* b (- (* 1/6 (* a b)) 1/2)) a))) |
(- (cos b) (* a (sin b))) |
(- (cos b) (* a (sin b))) |
(- (cos b) (* a (sin b))) |
(- (cos b) (* a (sin b))) |
(- (cos b) (* a (sin b))) |
(- (cos b) (* a (sin b))) |
(- (cos b) (* a (sin b))) |
(- (cos b) (* a (sin b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* -1 (* a (sin b)))) |
(* -1 (* a (sin b))) |
(* a (- (/ (cos b) a) (sin b))) |
(* a (- (/ (cos b) a) (sin b))) |
(* a (- (/ (cos b) a) (sin b))) |
(* -1 (* a (sin b))) |
(* -1 (* a (- (* -1 (/ (cos b) a)) (* -1 (sin b))))) |
(* -1 (* a (- (* -1 (/ (cos b) a)) (* -1 (sin b))))) |
(* -1 (* a (- (* -1 (/ (cos b) a)) (* -1 (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)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(* 1/6 (* (pow a 3) (sin b))) |
(* (pow a 3) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b)))) |
(* (pow a 3) (+ (* -1 (/ (sin b) (pow a 2))) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b))))) |
(* (pow a 3) (+ (* -1 (/ (sin b) (pow a 2))) (+ (* -1/2 (/ (cos b) a)) (+ (* 1/6 (sin b)) (/ (cos b) (pow a 3)))))) |
(* 1/6 (* (pow a 3) (sin b))) |
(* -1 (* (pow a 3) (+ (* -1/6 (sin b)) (* 1/2 (/ (cos b) a))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))) a)) (* -1/6 (sin b))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b))) a)) (* -1/6 (sin b))))) |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (+ (* -1/2 (pow a 2)) (* a (* b (- (* 1/6 (pow a 2)) 1))))) |
(+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* a (- (* 1/6 (pow a 2)) 1)) (* b (- (* 1/4 (pow a 2)) 1/2)))))) |
(+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* a (- (* 1/6 (pow a 2)) 1)) (* b (- (+ (* -1/6 (* a (* b (- (* 1/6 (pow a 2)) 1)))) (* 1/4 (pow a 2))) 1/2)))))) |
(+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))) |
(+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))) |
(+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))) |
(+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))) |
(+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))) |
(+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))) |
(+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))) |
(+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))))) |
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))) |
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))) |
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))) |
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))) |
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))) |
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))) |
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))) |
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))) |
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))) |
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))) |
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))) |
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))) |
(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
(* b (+ (* -1 (/ (* a (* b (* r (- (* 1/6 (pow a 2)) 1)))) (pow (+ 1 (* -1/2 (pow a 2))) 2))) (/ r (+ 1 (* -1/2 (pow a 2)))))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (+ (* -1 (/ (* (pow a 2) (* r (pow (- (* 1/6 (pow a 2)) 1) 2))) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ (* a (* r (- (* 1/6 (pow a 2)) 1))) (pow (+ 1 (* -1/2 (pow a 2))) 2)))) (/ r (+ 1 (* -1/2 (pow a 2)))))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* a (* r (* (- (* 1/6 (pow a 2)) 1) (- (* 1/4 (pow a 2)) 1/2)))) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (+ (* -1/6 (/ (* a (* r (- (* 1/6 (pow a 2)) 1))) (pow (+ 1 (* -1/2 (pow a 2))) 2))) (/ (* a (* (- (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (+ (* -1 (/ (* (pow a 2) (* r (pow (- (* 1/6 (pow a 2)) 1) 2))) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2)))) (- (* 1/6 (pow a 2)) 1))) (+ 1 (* -1/2 (pow a 2)))))))) (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2)))))) (+ (* -1 (/ (* (pow a 2) (* r (pow (- (* 1/6 (pow a 2)) 1) 2))) (pow (+ 1 (* -1/2 (pow a 2))) 3))) (/ (* r (- (* 1/4 (pow a 2)) 1/2)) (pow (+ 1 (* -1/2 (pow a 2))) 2))))) (/ (* a (* r (- (* 1/6 (pow a 2)) 1))) (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) (- (* 1/6 (pow a 2)) 1)))))) |
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))) |
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))) |
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))) |
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))) |
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))) |
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))) |
(/ (* r (sin b)) (+ (cos b) (* a (+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1)))))) |
(/ (* 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) (* 18 (/ (* r (cos b)) (* a (sin b))))) (pow a 3)) |
(/ (- (+ (* -1 (/ (+ (* -54 (/ (* r (pow (cos b) 2)) (pow (sin b) 2))) (* -36 r)) (pow a 2))) (* 6 r)) (* -18 (/ (* r (cos b)) (* a (sin b))))) (pow a 3)) |
(/ (- (+ (* -1 (/ (+ (* -108 (/ (* r (cos b)) (sin b))) (+ (* 3 (/ (* (cos b) (+ (* -54 (/ (* r (pow (cos b) 2)) (pow (sin b) 2))) (* -36 r))) (sin b))) (* 36 (/ (* r (cos b)) (sin b))))) (pow a 3))) (* 6 r)) (+ (* -54 (/ (* r (pow (cos b) 2)) (* (pow a 2) (pow (sin b) 2)))) (+ (* -36 (/ r (pow a 2))) (* -18 (/ (* r (cos b)) (* a (sin b))))))) (pow a 3)) |
(* 6 (/ r (pow a 3))) |
(* -1 (/ (+ (* -18 (/ (* r (cos b)) (* a (sin b)))) (* -6 r)) (pow a 3))) |
(* -1 (/ (+ (* -6 r) (* -1 (/ (- (+ (* 36 (/ r a)) (* 54 (/ (* r (pow (cos b) 2)) (* a (pow (sin b) 2))))) (* -18 (/ (* r (cos b)) (sin b)))) a))) (pow a 3))) |
(* -1 (/ (+ (* -6 r) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (* r (cos b)) (* a (sin b)))) (+ (* -3 (/ (* (cos b) (+ (* 36 r) (* 54 (/ (* r (pow (cos b) 2)) (pow (sin b) 2))))) (* a (sin b)))) (* 36 (/ (* r (cos b)) (* a (sin b)))))) (+ (* 36 r) (* 54 (/ (* r (pow (cos b) 2)) (pow (sin b) 2))))) a)) (* -18 (/ (* r (cos b)) (sin b)))) a))) (pow a 3))) |
(cos b) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(cos a) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a))))))) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* (cos a) (cos b)) |
(* 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)) |
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) |
(* -1/2 a) |
(+ (* -1/2 a) (* b (- (* 1/6 (pow a 2)) 1))) |
(+ (* -1/2 a) (* b (- (+ (* 1/6 (pow a 2)) (* 1/4 (* a b))) 1))) |
(+ (* -1/2 a) (* b (- (+ (* 1/6 (pow a 2)) (* b (+ (* -1/6 (* b (- (* 1/6 (pow a 2)) 1))) (* 1/4 a)))) 1))) |
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))) |
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))) |
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))) |
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))) |
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))) |
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))) |
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))) |
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))) |
(* -1 (sin b)) |
(+ (* -1 (sin b)) (* -1/2 (* a (cos b)))) |
(+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))) |
(+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))) |
(* 1/6 (* (pow a 2) (sin b))) |
(* (pow a 2) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b)))) |
(* (pow a 2) (+ (* -1 (/ (sin b) (pow a 2))) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b))))) |
(* (pow a 2) (+ (* -1 (/ (sin b) (pow a 2))) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b))))) |
(* 1/6 (* (pow a 2) (sin b))) |
(* (pow a 2) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b)))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 1/2 (cos b)) (/ (sin b) a)) a)) (* 1/6 (sin b)))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 1/2 (cos b)) (/ (sin b) a)) a)) (* 1/6 (sin b)))) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg 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 a) (cos b)) (* (sin a) (sin (neg 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 a) (cos b)) (* (sin a) (sin (neg 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 a) (cos b)) (* (sin a) (sin (neg 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 a) (cos b)) (* (sin a) (sin (neg 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 a) (cos b)) (* (sin a) (sin (neg 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 a) (cos b)) (* (sin a) (sin (neg 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 a) (cos b)) (* (sin a) (sin (neg 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 a) (cos b)) (* (sin a) (sin (neg 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 a) (cos b)) (* (sin a) (sin (neg 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 a) (cos b)) (* (sin a) (sin (neg 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 a) (cos b)) (* (sin a) (sin (neg 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 (*.f64 r b) (cos.f64 a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (fma.f64 r (/.f64 #s(literal -1/2 binary64) (cos.f64 a)) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (fma.f64 r (/.f64 #s(literal -1/2 binary64) (cos.f64 a)) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (sin.f64 a) (cos.f64 a)))) (neg.f64 b) (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (fma.f64 r (/.f64 #s(literal -1/2 binary64) (cos.f64 a)) (*.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg 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 a) (cos b)) (* (sin a) (sin (neg 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 a) (cos b)) (* (sin a) (sin (neg 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 a) (cos b)) (* (sin a) (sin (* -1 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 a) (cos b)) (* (sin a) (sin (* -1 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 a) (cos b)) (* (sin a) (sin (* -1 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 a) (cos b)) (* (sin a) (sin (* -1 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)) |
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b))) |
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (*.f64 (*.f64 r a) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
(fma.f64 a (fma.f64 a (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b)))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
(fma.f64 a (fma.f64 a (+.f64 (fma.f64 (fma.f64 (sin.f64 b) (/.f64 (fma.f64 r (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b))) (cos.f64 b)) (*.f64 (/.f64 (*.f64 (neg.f64 r) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (neg.f64 a) (*.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg 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 a) (cos b)) (* (sin a) (sin (neg 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 a) (cos b)) (* (sin a) (sin (neg 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 a) (cos b)) (* (sin a) (sin (neg 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 a) (cos b)) (* (sin a) (sin (neg 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 a) (cos b)) (* (sin a) (sin (neg 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 a) (cos b)) (* (sin a) (sin (neg 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)) |
(*.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 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r)) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 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)) |
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)))) |
(fma.f64 (*.f64 b b) (*.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)) 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 a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #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)) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 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) (* a (sin (neg b)))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b)))))) |
(fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))) |
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(/ (sin b) (cos (+ a b))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
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(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
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(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/ (sin b) (cos (- b (* -1 a)))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
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(/.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))) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 b (fma.f64 b (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b (sin.f64 a)))) (neg.f64 (sin.f64 a))) (cos.f64 a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) |
(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)) |
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(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
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(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
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(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
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(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
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(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
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(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(* b r) |
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(* b (+ r (* a (* b r)))) |
(*.f64 b (fma.f64 r (*.f64 b a) r)) |
(* b (+ r (* b (- (* b (- (* -1/6 r) (+ (* -1 (* (pow a 2) r)) (* -1/2 r)))) (* -1 (* a r)))))) |
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r)) |
(* b (+ r (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (* a (- (* -1/6 r) (+ (* -1 (* (pow a 2) r)) (* -1/2 r))))) (+ (* -1/2 (* a r)) (* 1/6 (* a r)))))) (* -1/6 r)) (+ (* -1 (* (pow a 2) r)) (* -1/2 r)))) (* -1 (* a r)))))) |
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(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(/ (* r (sin b)) (- (cos b) (* a (sin b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.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 a) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) |
(+ (* a (- (/ (* a (* r (pow (sin b) 3))) (pow (cos b) 3)) (* -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 (fma.f64 (*.f64 r a) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))))) |
(+ (* a (- (* a (- (/ (* a (* r (pow (sin b) 4))) (pow (cos b) 4)) (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))))) (* -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 (fma.f64 a (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 a (*.f64 r (pow.f64 (sin.f64 b) #s(literal 4 binary64)))) (pow.f64 (cos.f64 b) #s(literal 4 binary64)))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))))) |
(* -1 (/ r a)) |
(/.f64 r (neg.f64 a)) |
(/ (+ (* -1 r) (* -1 (/ (* r (cos b)) (* a (sin b))))) a) |
(neg.f64 (/.f64 (fma.f64 (cos.f64 b) (/.f64 r (*.f64 (sin.f64 b) a)) r) a)) |
(/ (- (+ (* -1 r) (* -1 (/ (* r (pow (cos b) 2)) (* (pow a 2) (pow (sin b) 2))))) (/ (* r (cos b)) (* a (sin b)))) a) |
(/.f64 (+.f64 (neg.f64 r) (neg.f64 (*.f64 r (+.f64 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (/.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (*.f64 (*.f64 a a) (pow.f64 (sin.f64 b) #s(literal 2 binary64)))))))) a) |
(/ (- (+ (* -1 r) (* -1 (/ (* r (pow (cos b) 3)) (* (pow a 3) (pow (sin b) 3))))) (+ (/ (* r (cos b)) (* a (sin b))) (/ (* r (pow (cos b) 2)) (* (pow a 2) (pow (sin b) 2))))) a) |
(/.f64 (-.f64 (neg.f64 (fma.f64 r (/.f64 (pow.f64 (/.f64 (cos.f64 b) (sin.f64 b)) #s(literal 3 binary64)) (*.f64 a (*.f64 a a))) r)) (*.f64 r (+.f64 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (/.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (*.f64 (*.f64 a a) (pow.f64 (sin.f64 b) #s(literal 2 binary64))))))) a) |
(* -1 (/ r a)) |
(/.f64 r (neg.f64 a)) |
(* -1 (/ (+ r (/ (* r (cos b)) (* a (sin b)))) a)) |
(neg.f64 (/.f64 (fma.f64 (cos.f64 b) (/.f64 r (*.f64 (sin.f64 b) a)) r) a)) |
(* -1 (/ (+ r (* -1 (/ (- (* -1 (/ (* r (pow (cos b) 2)) (* a (pow (sin b) 2)))) (/ (* r (cos b)) (sin b))) a))) a)) |
(neg.f64 (/.f64 (-.f64 r (neg.f64 (*.f64 r (+.f64 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) (/.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (*.f64 (*.f64 a a) (pow.f64 (sin.f64 b) #s(literal 2 binary64)))))))) a)) |
(* -1 (/ (+ r (* -1 (/ (- (* -1 (/ (- (/ (* r (pow (cos b) 3)) (* a (pow (sin b) 3))) (* -1 (/ (* r (pow (cos b) 2)) (pow (sin b) 2)))) a)) (/ (* r (cos b)) (sin b))) a))) a)) |
(/.f64 (-.f64 r (-.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 r a) (pow.f64 (/.f64 (cos.f64 b) (sin.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))))) (*.f64 a a)) (/.f64 (*.f64 r (cos.f64 b)) (*.f64 (sin.f64 b) a)))) (neg.f64 a)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* a b))) |
(-.f64 #s(literal 1 binary64) (*.f64 b a)) |
(+ 1 (* b (- (* -1/2 b) a))) |
(fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal 1 binary64)) |
(+ 1 (* b (- (* b (- (* 1/6 (* a b)) 1/2)) a))) |
(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 a #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 a)) #s(literal 1 binary64)) |
(- (cos b) (* a (sin b))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(- (cos b) (* a (sin b))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(- (cos b) (* a (sin b))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(- (cos b) (* a (sin b))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(- (cos b) (* a (sin b))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(- (cos b) (* a (sin b))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(- (cos b) (* a (sin b))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(- (cos b) (* a (sin b))) |
(-.f64 (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) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(* -1 (* a (sin b))) |
(neg.f64 (*.f64 (sin.f64 b) a)) |
(* a (- (/ (cos b) a) (sin b))) |
(*.f64 a (-.f64 (/.f64 (cos.f64 b) a) (sin.f64 b))) |
(* a (- (/ (cos b) a) (sin b))) |
(*.f64 a (-.f64 (/.f64 (cos.f64 b) a) (sin.f64 b))) |
(* a (- (/ (cos b) a) (sin b))) |
(*.f64 a (-.f64 (/.f64 (cos.f64 b) a) (sin.f64 b))) |
(* -1 (* a (sin b))) |
(neg.f64 (*.f64 (sin.f64 b) a)) |
(* -1 (* a (- (* -1 (/ (cos b) a)) (* -1 (sin b))))) |
(*.f64 a (-.f64 (/.f64 (cos.f64 b) a) (sin.f64 b))) |
(* -1 (* a (- (* -1 (/ (cos b) a)) (* -1 (sin b))))) |
(*.f64 a (-.f64 (/.f64 (cos.f64 b) a) (sin.f64 b))) |
(* -1 (* a (- (* -1 (/ (cos b) a)) (* -1 (sin b))))) |
(*.f64 a (-.f64 (/.f64 (cos.f64 b) a) (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 (sin b)) (* -1/2 (* a (cos b)))))) |
(fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))) |
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))))) |
(fma.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) |
(* 1/6 (* (pow a 3) (sin b))) |
(*.f64 (sin.f64 b) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a)))) |
(* (pow a 3) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b)))) |
(*.f64 (*.f64 a a) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 b) a) (*.f64 (sin.f64 b) #s(literal 1/6 binary64))))) |
(* (pow a 3) (+ (* -1 (/ (sin b) (pow a 2))) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b))))) |
(*.f64 (*.f64 a (*.f64 a a)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 b) a) (*.f64 (sin.f64 b) #s(literal 1/6 binary64))) (/.f64 (sin.f64 b) (*.f64 a a)))) |
(* (pow a 3) (+ (* -1 (/ (sin b) (pow a 2))) (+ (* -1/2 (/ (cos b) a)) (+ (* 1/6 (sin b)) (/ (cos b) (pow a 3)))))) |
(*.f64 (*.f64 a (*.f64 a a)) (-.f64 (fma.f64 (sin.f64 b) #s(literal 1/6 binary64) (fma.f64 (cos.f64 b) (/.f64 #s(literal -1/2 binary64) a) (/.f64 (cos.f64 b) (*.f64 a (*.f64 a a))))) (/.f64 (sin.f64 b) (*.f64 a a)))) |
(* 1/6 (* (pow a 3) (sin b))) |
(*.f64 (sin.f64 b) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a)))) |
(* -1 (* (pow a 3) (+ (* -1/6 (sin b)) (* 1/2 (/ (cos b) a))))) |
(*.f64 (*.f64 a (*.f64 a a)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 b) a) (*.f64 (sin.f64 b) #s(literal -1/6 binary64))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))) a)) (* -1/6 (sin b))))) |
(*.f64 (fma.f64 (sin.f64 b) #s(literal -1/6 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) a)) (neg.f64 a))) (neg.f64 (*.f64 a (*.f64 a a)))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b))) a)) (* -1/6 (sin b))))) |
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(+ 1 (* -1/2 (pow a 2))) |
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(+ 1 (+ (* -1/2 (pow a 2)) (* a (* b (- (* 1/6 (pow a 2)) 1))))) |
(fma.f64 b (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64))) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* a (- (* 1/6 (pow a 2)) 1)) (* b (- (* 1/4 (pow a 2)) 1/2)))))) |
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(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(fma.f64 r (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a (fma.f64 a (fma.f64 (fma.f64 (fma.f64 r (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64))) (neg.f64 a) (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b))))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))))) |
(* 6 (/ r (pow a 3))) |
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a)))) |
(/ (+ (* 6 r) (* 18 (/ (* r (cos b)) (* a (sin b))))) (pow a 3)) |
(/.f64 (fma.f64 (/.f64 (*.f64 r (cos.f64 b)) (*.f64 (sin.f64 b) a)) #s(literal 18 binary64) (*.f64 r #s(literal 6 binary64))) (*.f64 a (*.f64 a a))) |
(/ (- (+ (* -1 (/ (+ (* -54 (/ (* r (pow (cos b) 2)) (pow (sin b) 2))) (* -36 r)) (pow a 2))) (* 6 r)) (* -18 (/ (* r (cos b)) (* a (sin b))))) (pow a 3)) |
(/.f64 (fma.f64 r (*.f64 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) #s(literal 18 binary64)) (-.f64 (*.f64 r #s(literal 6 binary64)) (/.f64 (fma.f64 r #s(literal -36 binary64) (/.f64 (*.f64 (*.f64 #s(literal -54 binary64) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (*.f64 a a)))) (*.f64 a (*.f64 a a))) |
(/ (- (+ (* -1 (/ (+ (* -108 (/ (* r (cos b)) (sin b))) (+ (* 3 (/ (* (cos b) (+ (* -54 (/ (* r (pow (cos b) 2)) (pow (sin b) 2))) (* -36 r))) (sin b))) (* 36 (/ (* r (cos b)) (sin b))))) (pow a 3))) (* 6 r)) (+ (* -54 (/ (* r (pow (cos b) 2)) (* (pow a 2) (pow (sin b) 2)))) (+ (* -36 (/ r (pow a 2))) (* -18 (/ (* r (cos b)) (* a (sin b))))))) (pow a 3)) |
(/.f64 (-.f64 (fma.f64 r #s(literal 6 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 (fma.f64 r #s(literal -36 binary64) (/.f64 (*.f64 (*.f64 #s(literal -54 binary64) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (/.f64 (cos.f64 b) (sin.f64 b))) (fma.f64 (*.f64 r #s(literal 36 binary64)) (/.f64 (cos.f64 b) (sin.f64 b)) (*.f64 (*.f64 #s(literal -108 binary64) r) (/.f64 (cos.f64 b) (sin.f64 b))))) (neg.f64 (*.f64 a (*.f64 a a))))) (fma.f64 r (*.f64 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) #s(literal -18 binary64)) (fma.f64 r (/.f64 #s(literal -36 binary64) (*.f64 a a)) (/.f64 (*.f64 (*.f64 #s(literal -54 binary64) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (*.f64 a a) (pow.f64 (sin.f64 b) #s(literal 2 binary64))))))) (*.f64 a (*.f64 a a))) |
(* 6 (/ r (pow a 3))) |
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a)))) |
(* -1 (/ (+ (* -18 (/ (* r (cos b)) (* a (sin b)))) (* -6 r)) (pow a 3))) |
(/.f64 (fma.f64 (/.f64 (*.f64 r (cos.f64 b)) (*.f64 (sin.f64 b) a)) #s(literal -18 binary64) (*.f64 r #s(literal -6 binary64))) (neg.f64 (*.f64 a (*.f64 a a)))) |
(* -1 (/ (+ (* -6 r) (* -1 (/ (- (+ (* 36 (/ r a)) (* 54 (/ (* r (pow (cos b) 2)) (* a (pow (sin b) 2))))) (* -18 (/ (* r (cos b)) (sin b)))) a))) (pow a 3))) |
(neg.f64 (/.f64 (-.f64 (*.f64 r #s(literal -6 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) #s(literal 54 binary64) (fma.f64 r (/.f64 #s(literal 36 binary64) a) (/.f64 (*.f64 #s(literal 18 binary64) (*.f64 r (cos.f64 b))) (sin.f64 b)))) a)) (*.f64 a (*.f64 a a)))) |
(* -1 (/ (+ (* -6 r) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ (* r (cos b)) (* a (sin b)))) (+ (* -3 (/ (* (cos b) (+ (* 36 r) (* 54 (/ (* r (pow (cos b) 2)) (pow (sin b) 2))))) (* a (sin b)))) (* 36 (/ (* r (cos b)) (* a (sin b)))))) (+ (* 36 r) (* 54 (/ (* r (pow (cos b) 2)) (pow (sin b) 2))))) a)) (* -18 (/ (* r (cos b)) (sin b)))) a))) (pow a 3))) |
(/.f64 (-.f64 (*.f64 r #s(literal -6 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 r (cos.f64 b)) (sin.f64 b)) #s(literal 18 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -3 binary64) (*.f64 (fma.f64 r #s(literal 36 binary64) (/.f64 (*.f64 (*.f64 #s(literal 54 binary64) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) (fma.f64 (/.f64 (*.f64 r (cos.f64 b)) (*.f64 (sin.f64 b) a)) #s(literal 36 binary64) (/.f64 (*.f64 #s(literal -108 binary64) (*.f64 r (cos.f64 b))) (*.f64 (sin.f64 b) a)))) (fma.f64 r #s(literal 36 binary64) (/.f64 (*.f64 (*.f64 #s(literal 54 binary64) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))))) (neg.f64 a))) a)) (neg.f64 (*.f64 a (*.f64 a a)))) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1/2 (* (pow a 2) (cos b)))) |
(*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b)))))) |
(fma.f64 a (*.f64 a (*.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (cos.f64 b)) |
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b))))))) |
(fma.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (*.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (*.f64 a a) (*.f64 a a)))) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)) |
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a)))))) |
(fma.f64 (*.f64 b b) (*.f64 (cos.f64 a) (fma.f64 (*.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 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* (cos a) (cos b)) |
(*.f64 (cos.f64 a) (cos.f64 b)) |
(* 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 a #s(literal -1/6 binary64) (*.f64 a (*.f64 (*.f64 b b) #s(literal 1/120 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 (*.f64 b 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) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow b 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) |
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2))) |
(fma.f64 (*.f64 b b) (fma.f64 b (*.f64 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 b) |
(cos.f64 b) |
(cos b) |
(cos.f64 b) |
(cos b) |
(cos.f64 b) |
(cos b) |
(cos.f64 b) |
(cos b) |
(cos.f64 b) |
(cos b) |
(cos.f64 b) |
(cos b) |
(cos.f64 b) |
(cos b) |
(cos.f64 b) |
(* -1/2 a) |
(*.f64 a #s(literal -1/2 binary64)) |
(+ (* -1/2 a) (* b (- (* 1/6 (pow a 2)) 1))) |
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a #s(literal -1/2 binary64))) |
(+ (* -1/2 a) (* b (- (+ (* 1/6 (pow a 2)) (* 1/4 (* a b))) 1))) |
(fma.f64 b (fma.f64 b (*.f64 a #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64))) (*.f64 a #s(literal -1/2 binary64))) |
(+ (* -1/2 a) (* b (- (+ (* 1/6 (pow a 2)) (* b (+ (* -1/6 (* b (- (* 1/6 (pow a 2)) 1))) (* 1/4 a)))) 1))) |
(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 a #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64))) (*.f64 a #s(literal -1/2 binary64))) |
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))) |
(fma.f64 (sin.f64 b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) |
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))) |
(fma.f64 (sin.f64 b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) |
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))) |
(fma.f64 (sin.f64 b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) |
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))) |
(fma.f64 (sin.f64 b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) |
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))) |
(fma.f64 (sin.f64 b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) |
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))) |
(fma.f64 (sin.f64 b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) |
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))) |
(fma.f64 (sin.f64 b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) |
(+ (* -1/2 (* a (cos b))) (* (sin b) (- (* 1/6 (pow a 2)) 1))) |
(fma.f64 (sin.f64 b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) |
(* -1 (sin b)) |
(sin.f64 (neg.f64 b)) |
(+ (* -1 (sin b)) (* -1/2 (* a (cos b)))) |
(fma.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (sin.f64 (neg.f64 b))) |
(+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))) |
(fma.f64 (sin.f64 b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) |
(+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b)))))) |
(fma.f64 (sin.f64 b) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) |
(* 1/6 (* (pow a 2) (sin b))) |
(*.f64 (sin.f64 b) (*.f64 #s(literal 1/6 binary64) (*.f64 a a))) |
(* (pow a 2) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b)))) |
(*.f64 a (*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 b) a) (*.f64 (sin.f64 b) #s(literal 1/6 binary64))))) |
(* (pow a 2) (+ (* -1 (/ (sin b) (pow a 2))) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b))))) |
(*.f64 (*.f64 a a) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 b) a) (*.f64 (sin.f64 b) #s(literal 1/6 binary64))) (/.f64 (sin.f64 b) (*.f64 a a)))) |
(* (pow a 2) (+ (* -1 (/ (sin b) (pow a 2))) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b))))) |
(*.f64 (*.f64 a a) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 b) a) (*.f64 (sin.f64 b) #s(literal 1/6 binary64))) (/.f64 (sin.f64 b) (*.f64 a a)))) |
(* 1/6 (* (pow a 2) (sin b))) |
(*.f64 (sin.f64 b) (*.f64 #s(literal 1/6 binary64) (*.f64 a a))) |
(* (pow a 2) (+ (* -1/2 (/ (cos b) a)) (* 1/6 (sin b)))) |
(*.f64 a (*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 b) a) (*.f64 (sin.f64 b) #s(literal 1/6 binary64))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 1/2 (cos b)) (/ (sin b) a)) a)) (* 1/6 (sin b)))) |
(*.f64 (*.f64 a a) (-.f64 (*.f64 (sin.f64 b) #s(literal 1/6 binary64)) (/.f64 (fma.f64 (cos.f64 b) #s(literal 1/2 binary64) (/.f64 (sin.f64 b) a)) a))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 1/2 (cos b)) (/ (sin b) a)) a)) (* 1/6 (sin b)))) |
(*.f64 (*.f64 a a) (-.f64 (*.f64 (sin.f64 b) #s(literal 1/6 binary64)) (/.f64 (fma.f64 (cos.f64 b) #s(literal 1/2 binary64) (/.f64 (sin.f64 b) a)) a))) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
Compiled 32 517 to 2 294 computations (92.9% saved)
61 alts after pruning (58 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 207 | 44 | 1 251 |
| Fresh | 13 | 14 | 27 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 222 | 61 | 1 283 |
| Status | Accuracy | Program |
|---|---|---|
| 45.4% | (pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 33.7% | (pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64)) | |
| 53.5% | (/.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)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 52.8% | (/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))) | |
| 53.5% | (/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.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)) b) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 53.4% | (/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 52.9% | (/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) | |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))))) | |
| 59.8% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) | |
| ▶ | 53.9% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
| 54.1% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 54.1% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 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))))) | |
| ✓ | 99.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 63.2% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))) | |
| 58.0% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) | |
| 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) | |
| 37.0% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal 1 binary64))) | |
| 59.1% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b))) | |
| ▶ | 38.4% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
| 89.2% | (/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))))) | |
| 99.0% | (/.f64 (*.f64 r (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 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 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 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) | |
| ✓ | 59.9% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
| 54.7% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) | |
| 37.8% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) | |
| 62.0% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) | |
| 57.0% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) | |
| 41.6% | (/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) | |
| 36.2% | (/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 36.1% | (/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 36.3% | (/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 37.0% | (/.f64 (*.f64 r b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) | |
| 53.3% | (/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) | |
| ✓ | 53.3% | (/.f64 (*.f64 r b) (cos.f64 a)) |
| 52.8% | (/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b))) | |
| ▶ | 77.8% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
| 9.7% | (/.f64 r (neg.f64 a)) | |
| 76.8% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) | |
| 31.0% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) | |
| 52.7% | (*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r) | |
| 99.0% | (*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #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 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 56.2% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64))))) r) | |
| 59.6% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) r) | |
| ▶ | 99.5% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r) |
| 53.9% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) r) | |
| 99.5% | (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) | |
| 77.8% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) | |
| 62.0% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) | |
| 57.0% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) | |
| 77.9% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) | |
| 77.8% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) r) | |
| 77.8% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) | |
| 99.1% | (*.f64 (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #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 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) r) | |
| 77.9% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r) | |
| 77.9% | (*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)) | |
| ▶ | 37.3% | (*.f64 r b) |
| 31.0% | (*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.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))))) | |
| 35.6% | (*.f64 b (fma.f64 r (*.f64 b a) r)) | |
| 31.1% | (*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r)) | |
| 53.3% | (*.f64 b (/.f64 r (cos.f64 a))) | |
| 12.0% | (*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a)))) | |
| 33.7% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
Compiled 2 395 to 1 496 computations (37.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (*.f64 r (sin.f64 b)) |
| ✓ | cost-diff | 6336 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
| ✓ | cost-diff | 0 | (+.f64 b a) |
| ✓ | cost-diff | 0 | (cos.f64 (+.f64 b a)) |
| ✓ | cost-diff | 0 | (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
| ✓ | cost-diff | 384 | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
| ✓ | cost-diff | 0 | (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (*.f64 r (sin.f64 b)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 r b) |
| ✓ | cost-diff | 0 | (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r) |
| ✓ | cost-diff | 6016 | (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) |
| 3 124× | lower-fma.f32 |
| 3 116× | lower-fma.f64 |
| 1 876× | lower-*.f32 |
| 1 862× | lower-*.f64 |
| 1 320× | distribute-lft-in |
Useful iterations: 23 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 200 |
| 0 | 56 | 200 |
| 1 | 88 | 200 |
| 2 | 118 | 200 |
| 3 | 174 | 200 |
| 4 | 274 | 200 |
| 5 | 374 | 200 |
| 6 | 686 | 200 |
| 7 | 1165 | 200 |
| 8 | 1552 | 200 |
| 9 | 1816 | 200 |
| 10 | 2391 | 200 |
| 11 | 2750 | 200 |
| 12 | 3214 | 200 |
| 13 | 3533 | 200 |
| 14 | 3634 | 200 |
| 15 | 3781 | 200 |
| 16 | 3997 | 200 |
| 17 | 4203 | 200 |
| 18 | 4783 | 200 |
| 19 | 5840 | 200 |
| 20 | 6356 | 200 |
| 21 | 6476 | 200 |
| 22 | 6680 | 200 |
| 23 | 7442 | 193 |
| 0 | 8060 | 193 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))) |
(cos.f64 b) |
(cos.f64 a) |
a |
(*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) |
(sin.f64 (neg.f64 b)) |
(neg.f64 b) |
(sin.f64 a) |
r |
(*.f64 r b) |
r |
b |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
a |
(*.f64 a #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
r |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
b |
a |
(sin.f64 b) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))) |
(sin.f64 (neg.f64 b)) |
(neg.f64 b) |
(sin.f64 a) |
a |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 b b) |
#s(literal 1 binary64) |
(cos.f64 a) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r) |
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))) |
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))) |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))) |
(cos.f64 b) |
(cos.f64 a) |
a |
(*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) |
(*.f64 (sin.f64 b) (sin.f64 (neg.f64 a))) |
(sin.f64 (neg.f64 b)) |
(neg.f64 b) |
(sin.f64 a) |
r |
(*.f64 r b) |
(*.f64 b r) |
r |
b |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) |
a |
(*.f64 a #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
r |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
b |
a |
(sin.f64 b) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sin.f64 b)) (sin.f64 a))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
r |
(sin.f64 b) |
b |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))) |
(fma.f64 (cos.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) (sin.f64 (neg.f64 a)))) |
(sin.f64 (neg.f64 b)) |
(neg.f64 b) |
(sin.f64 a) |
a |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)) |
(*.f64 (cos.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) |
(fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 b b) |
#s(literal 1 binary64) |
(cos.f64 a) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 a) |
| ✓ | accuracy | 99.9% | (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)) |
| ✓ | accuracy | 99.8% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 93.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
| ✓ | accuracy | 100.0% | (sin.f64 b) |
| ✓ | accuracy | 99.7% | (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
| ✓ | accuracy | 99.7% | (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
| ✓ | accuracy | 78.1% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 100.0% | (*.f64 a #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (sin.f64 b) |
| ✓ | accuracy | 99.8% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 97.0% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 r b) |
| ✓ | accuracy | 99.8% | (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r) |
| ✓ | accuracy | 99.7% | (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) |
| ✓ | accuracy | 99.7% | (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) |
| 109.0ms | 176× | 1 | valid |
| 24.0ms | 80× | 0 | valid |
Compiled 213 to 34 computations (84% saved)
ival-cos: 31.0ms (30.2% of total)ival-mult: 21.0ms (20.4% of total)ival-sin: 19.0ms (18.5% of total)ival-div: 11.0ms (10.7% of total)adjust: 10.0ms (9.7% of total)ival-add: 9.0ms (8.8% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))> |
#<alt (*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r)> |
#<alt (sin.f64 b)> |
#<alt (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))> |
#<alt (*.f64 r b)> |
#<alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))> |
#<alt (*.f64 r (sin.f64 b))> |
#<alt (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))> |
#<alt (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))> |
#<alt (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))> |
#<alt (cos.f64 (+.f64 b a))> |
#<alt (+.f64 b a)> |
#<alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))> |
#<alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))> |
#<alt (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))> |
#<alt (*.f64 a #s(literal -1/2 binary64))> |
#<alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))> |
#<alt (sin.f64 a)> |
| Outputs |
|---|
#<alt (/ b (cos a))> |
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))> |
#<alt (/ (sin b) (cos b))> |
#<alt (+ (* -1 (/ (* a (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (/ (sin b) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b))) (+ (* -1/6 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))) (* 1/2 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b)))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt b> |
#<alt (* b (+ 1 (* -1/6 (pow b 2))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))> |
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* a (sin (neg b))))> |
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))> |
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (* b r)> |
#<alt (* 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 (sin b)) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* b r) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (* b (+ (* -1/6 (/ (* (pow b 2) r) (+ 1 (* -1/2 (pow a 2))))) (/ r (+ 1 (* -1/2 (pow a 2))))))> |
#<alt (* b (+ (* (pow b 2) (+ (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (* 1/120 (/ (* (pow b 2) r) (+ 1 (* -1/2 (pow a 2))))))) (/ r (+ 1 (* -1/2 (pow a 2))))))> |
#<alt (* b (+ (* (pow b 2) (+ (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (* (pow b 2) (+ (* -1/5040 (/ (* (pow b 2) r) (+ 1 (* -1/2 (pow a 2))))) (* 1/120 (/ r (+ 1 (* -1/2 (pow a 2))))))))) (/ r (+ 1 (* -1/2 (pow a 2))))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2))))> |
#<alt (* r (sin b))> |
#<alt (+ (* 1/2 (* (pow a 2) (* r (sin b)))) (* r (sin b)))> |
#<alt (+ (* r (sin b)) (* (pow a 2) (- (* 1/4 (* (pow a 2) (* r (sin b)))) (* -1/2 (* r (sin b))))))> |
#<alt (+ (* r (sin b)) (* (pow a 2) (- (* (pow a 2) (- (* 1/8 (* (pow a 2) (* r (sin b)))) (* -1/4 (* r (sin b))))) (* -1/2 (* r (sin b))))))> |
#<alt (* -2 (/ (* r (sin b)) (pow a 2)))> |
#<alt (/ (+ (* -4 (/ (* r (sin b)) (pow a 2))) (* -2 (* r (sin b)))) (pow a 2))> |
#<alt (/ (- (+ (* -8 (/ (* r (sin b)) (pow a 4))) (* -2 (* r (sin b)))) (* 4 (/ (* r (sin b)) (pow a 2)))) (pow a 2))> |
#<alt (/ (- (+ (* -16 (/ (* r (sin b)) (pow a 6))) (* -2 (* r (sin b)))) (+ (* 4 (/ (* r (sin b)) (pow a 2))) (* 8 (/ (* r (sin b)) (pow a 4))))) (pow a 2))> |
#<alt (* -2 (/ (* r (sin b)) (pow a 2)))> |
#<alt (/ (+ (* -4 (/ (* r (sin b)) (pow a 2))) (* -2 (* r (sin b)))) (pow a 2))> |
#<alt (/ (- (+ (* -8 (/ (* r (sin b)) (pow a 4))) (* -2 (* r (sin b)))) (* 4 (/ (* r (sin b)) (pow a 2)))) (pow a 2))> |
#<alt (/ (- (+ (* -16 (/ (* r (sin b)) (pow a 6))) (* -2 (* r (sin b)))) (+ (* 4 (/ (* r (sin b)) (pow a 2))) (* 8 (/ (* r (sin b)) (pow a 4))))) (pow a 2))> |
#<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> |
#<alt (+ 1 (* -1/2 (pow a 2)))> |
#<alt (+ 1 (* -1/2 (pow a 2)))> |
#<alt (+ 1 (* -1/2 (pow a 2)))> |
#<alt (* -1/2 (pow a 2))> |
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/2))> |
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/2))> |
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/2))> |
#<alt (* -1/2 (pow a 2))> |
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/2))> |
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/2))> |
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/2))> |
#<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 (/ (cos a) b)> |
#<alt (/ (+ (cos a) (* -1 (* b (sin a)))) b)> |
#<alt (/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b)> |
#<alt (/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b)> |
#<alt (/ (cos (+ a b)) (sin b))> |
#<alt (/ (cos (+ a b)) (sin b))> |
#<alt (/ (cos (+ a b)) (sin b))> |
#<alt (/ (cos (+ a b)) (sin b))> |
#<alt (/ (cos (- a (* -1 b))) (sin b))> |
#<alt (/ (cos (- a (* -1 b))) (sin b))> |
#<alt (/ (cos (- a (* -1 b))) (sin b))> |
#<alt (/ (cos (- a (* -1 b))) (sin b))> |
#<alt (/ (cos b) (sin b))> |
#<alt (+ (* -1 a) (/ (cos b) (sin b)))> |
#<alt (+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b)))> |
#<alt (+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (sin b)))> |
#<alt (/ (cos (+ a b)) (sin b))> |
#<alt (/ (cos (+ a b)) (sin b))> |
#<alt (/ (cos (+ a b)) (sin b))> |
#<alt (/ (cos (+ a b)) (sin b))> |
#<alt (/ (cos (- b (* -1 a))) (sin b))> |
#<alt (/ (cos (- b (* -1 a))) (sin b))> |
#<alt (/ (cos (- b (* -1 a))) (sin b))> |
#<alt (/ (cos (- b (* -1 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 b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt a> |
#<alt (+ a b)> |
#<alt (+ a b)> |
#<alt (+ a b)> |
#<alt b> |
#<alt (* b (+ 1 (/ a b)))> |
#<alt (* b (+ 1 (/ a b)))> |
#<alt (* b (+ 1 (/ a b)))> |
#<alt b> |
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))> |
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))> |
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))> |
#<alt b> |
#<alt (+ a b)> |
#<alt (+ a b)> |
#<alt (+ a b)> |
#<alt a> |
#<alt (* a (+ 1 (/ b a)))> |
#<alt (* a (+ 1 (/ b a)))> |
#<alt (* a (+ 1 (/ b a)))> |
#<alt a> |
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))> |
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))> |
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (* -2 (/ (* r (sin b)) (* (pow b 2) (cos a))))> |
#<alt (/ (+ (* -4 (/ (* r (* (sin b) (+ (cos a) (* (sin a) (sin (neg b)))))) (* (pow b 2) (pow (cos a) 2)))) (* -2 (/ (* r (sin b)) (cos a)))) (pow b 2))> |
#<alt (/ (- (+ (* -8 (/ (* r (* (sin b) (pow (+ (cos a) (* (sin a) (sin (neg b)))) 2))) (* (pow b 4) (pow (cos a) 3)))) (* -2 (/ (* r (sin b)) (cos a)))) (* 4 (/ (* r (* (sin b) (+ (cos a) (* (sin a) (sin (neg b)))))) (* (pow b 2) (pow (cos a) 2))))) (pow b 2))> |
#<alt (/ (- (+ (* -16 (/ (* r (* (sin b) (pow (+ (cos a) (* (sin a) (sin (neg b)))) 3))) (* (pow b 6) (pow (cos a) 4)))) (* -2 (/ (* r (sin b)) (cos a)))) (+ (* 4 (/ (* r (* (sin b) (+ (cos a) (* (sin a) (sin (neg b)))))) (* (pow b 2) (pow (cos a) 2)))) (* 8 (/ (* r (* (sin b) (pow (+ (cos a) (* (sin a) (sin (neg b)))) 2))) (* (pow b 4) (pow (cos a) 3)))))) (pow b 2))> |
#<alt (* -2 (/ (* r (sin b)) (* (pow b 2) (cos a))))> |
#<alt (/ (+ (* -4 (/ (* r (* (sin b) (+ (cos a) (* (sin a) (sin (* -1 b)))))) (* (pow b 2) (pow (cos a) 2)))) (* -2 (/ (* r (sin b)) (cos a)))) (pow b 2))> |
#<alt (/ (- (+ (* -8 (/ (* r (* (sin b) (pow (+ (cos a) (* (sin a) (sin (* -1 b)))) 2))) (* (pow b 4) (pow (cos a) 3)))) (* -2 (/ (* r (sin b)) (cos a)))) (* 4 (/ (* r (* (sin b) (+ (cos a) (* (sin a) (sin (* -1 b)))))) (* (pow b 2) (pow (cos a) 2))))) (pow b 2))> |
#<alt (/ (- (+ (* -16 (/ (* r (* (sin b) (pow (+ (cos a) (* (sin a) (sin (* -1 b)))) 3))) (* (pow b 6) (pow (cos a) 4)))) (* -2 (/ (* r (sin b)) (cos a)))) (+ (* 4 (/ (* r (* (sin b) (+ (cos a) (* (sin a) (sin (* -1 b)))))) (* (pow b 2) (pow (cos a) 2)))) (* 8 (/ (* r (* (sin b) (pow (+ (cos a) (* (sin a) (sin (* -1 b)))) 2))) (* (pow b 4) (pow (cos a) 3)))))) (pow b 2))> |
#<alt (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2)))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))))) (+ 1 (* -1/2 (pow b 2))))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2)))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))> |
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))> |
#<alt (* -1/2 (* (pow b 2) (cos a)))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (neg b))) (pow b 2)))))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (neg b))) (pow b 2)))))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (neg b))) (pow b 2)))))> |
#<alt (* -1/2 (* (pow b 2) (cos a)))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (* -1 b))) (pow b 2)))))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (* -1 b))) (pow b 2)))))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (* -1 b))) (pow b 2)))))> |
#<alt (+ 1 (* -1/2 (pow b 2)))> |
#<alt (+ 1 (+ (* -1/2 (pow b 2)) (* a (sin (neg b)))))> |
#<alt (+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (sin (neg b)) (* -1/2 (* a (+ 1 (* -1/2 (pow b 2)))))))))> |
#<alt (+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* -1/6 (* a (sin (neg b))))))))))> |
#<alt (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))> |
#<alt (* -1 (* b (sin a)))> |
#<alt (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))> |
#<alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))> |
#<alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))> |
#<alt (* (sin a) (sin (neg b)))> |
#<alt (* (sin a) (sin (neg b)))> |
#<alt (* (sin a) (sin (neg b)))> |
#<alt (* (sin a) (sin (neg b)))> |
#<alt (* (sin a) (sin (* -1 b)))> |
#<alt (* (sin a) (sin (* -1 b)))> |
#<alt (* (sin a) (sin (* -1 b)))> |
#<alt (* (sin a) (sin (* -1 b)))> |
#<alt (* a (sin (neg b)))> |
#<alt (* a (+ (sin (neg b)) (* -1/6 (* (pow a 2) (sin (neg b))))))> |
#<alt (* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* 1/120 (* (pow a 2) (sin (neg b))))))))> |
#<alt (* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin (neg b)))) (* 1/120 (sin (neg b)))))))))> |
#<alt (* (sin a) (sin (neg b)))> |
#<alt (* (sin a) (sin (neg b)))> |
#<alt (* (sin a) (sin (neg b)))> |
#<alt (* (sin a) (sin (neg b)))> |
#<alt (* (sin a) (sin (neg b)))> |
#<alt (* (sin a) (sin (neg b)))> |
#<alt (* (sin a) (sin (neg b)))> |
#<alt (* (sin a) (sin (neg b)))> |
#<alt (* -1/2 a)> |
#<alt (* -1/2 a)> |
#<alt (* -1/2 a)> |
#<alt (* -1/2 a)> |
#<alt (* -1/2 a)> |
#<alt (* -1/2 a)> |
#<alt (* -1/2 a)> |
#<alt (* -1/2 a)> |
#<alt (* -1/2 a)> |
#<alt (* -1/2 a)> |
#<alt (* -1/2 a)> |
#<alt (* -1/2 a)> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))> |
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))> |
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))> |
#<alt (* -1/2 (* (pow b 2) (cos a)))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))> |
#<alt (* -1/2 (* (pow b 2) (cos a)))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))> |
#<alt (+ 1 (* -1/2 (pow b 2)))> |
#<alt (+ 1 (+ (* -1/2 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* -1/2 (pow b 2))))> |
#<alt (+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* 1/24 (* (pow a 2) (+ 1 (* -1/2 (pow b 2)))))))))> |
#<alt (+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* 1/24 (+ 1 (* -1/2 (pow b 2))))))))))> |
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))> |
#<alt a> |
#<alt (* a (+ 1 (* -1/6 (pow a 2))))> |
#<alt (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))> |
#<alt (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))> |
#<alt (sin a)> |
#<alt (sin a)> |
#<alt (sin a)> |
#<alt (sin a)> |
#<alt (sin a)> |
#<alt (sin a)> |
#<alt (sin a)> |
#<alt (sin a)> |
108 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | r | @ | 0 | (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a)))) |
| 9.0ms | b | @ | inf | (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg b)) (sin a)))) |
| 8.0ms | b | @ | -inf | (/ (* r (sin b)) (+ (* a (* a -1/2)) 1)) |
| 6.0ms | a | @ | -inf | (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a)))) |
| 3.0ms | r | @ | 0 | (* (/ (sin b) (+ (* (cos b) (cos a)) (* (sin (neg b)) (sin a)))) r) |
| 1× | batch-egg-rewrite |
| 4 506× | lower-/.f32 |
| 4 496× | lower-/.f64 |
| 4 420× | lower-fma.f32 |
| 4 412× | lower-fma.f64 |
| 3 698× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 145 |
| 0 | 56 | 159 |
| 1 | 188 | 124 |
| 2 | 1305 | 124 |
| 0 | 8441 | 124 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r) |
(sin.f64 b) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))) |
(*.f64 r b) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 r (sin.f64 b)) |
(fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))) |
(*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) |
(*.f64 a #s(literal -1/2 binary64)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)) |
(sin.f64 a) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(neg.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) |
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 (neg.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (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 1/2 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) (-.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 (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 1/2 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) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.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)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal 1 binary64)) (/.f64 (cos.f64 (-.f64 b a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 b a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
(neg.f64 (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a))))) |
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) |
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 b a)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)) |
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) |
(*.f64 (neg.f64 r) (neg.f64 (/.f64 (sin.f64 b) (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 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))))) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) (sin.f64 (neg.f64 b))) |
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal -1 binary64) (sin.f64 b)))) |
(*.f64 (/.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 (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 1/2 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) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) 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 (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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 b) (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 (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 1/2 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 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 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(-.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 b))) |
(sin.f64 b) |
(neg.f64 (sin.f64 (neg.f64 b))) |
(/.f64 (sin.f64 b) #s(literal 1 binary64)) |
(/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(*.f64 (sin.f64 b) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 b))) |
(+.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(+.f64 (cos.f64 (+.f64 b a)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 b a)))) |
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a))))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a))))) |
(cos.f64 (+.f64 b a)) |
(cos.f64 (-.f64 (neg.f64 b) a)) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (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) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a)))) |
(-.f64 (*.f64 (cos.f64 b) (cos.f64 (neg.f64 a))) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 (neg.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) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 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) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64))) |
(-.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 b a))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a))) #s(literal 1 binary64))) |
(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 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (sin.f64 a) (sin.f64 (neg.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 b a)))) |
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(*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a))))) |
(*.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) (fma.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (*.f64 (sin.f64 b) (sin.f64 a)))))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)))))) |
(*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (*.f64 (sin.f64 b) (sin.f64 a))))) |
(+.f64 (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (cos.f64 (-.f64 b a)) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) |
(-.f64 (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (-.f64 b a)) #s(literal 1/2 binary64))) |
(fma.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (cos.f64 (-.f64 b a)) #s(literal 1/2 binary64)))) |
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.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) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal -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 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (cos.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (-.f64 b a)) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (cos.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (-.f64 b a)) #s(literal 1/2 binary64)))) (fma.f64 (cos.f64 (+.f64 b a)) #s(literal 1/2 binary64) (*.f64 (cos.f64 (-.f64 b a)) #s(literal 1/2 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) |
(*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) |
(*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(*.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (sin.f64 a))) |
(*.f64 (neg.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal -1/2 binary64)) |
(*.f64 a #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) a) |
(*.f64 (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+.f64 (cos.f64 a) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) |
(+.f64 (cos.f64 a) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a))) |
(+.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (cos.f64 a)) |
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) (cos.f64 a)) |
(fma.f64 (cos.f64 a) #s(literal 1 binary64) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) |
(fma.f64 (cos.f64 a) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a))) |
(fma.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) |
(fma.f64 #s(literal 1 binary64) (cos.f64 a) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 a) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a) (cos.f64 a)) |
(/.f64 (cos.f64 a) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (cos.f64 a) (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (cos.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (cos.f64 a)))) |
(/.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) |
(/.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (cos.f64 a)) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (cos.f64 a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (cos.f64 a))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (cos.f64 a))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 (*.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (*.f64 (cos.f64 a) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (-.f64 (+.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) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (cos.f64 a))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a))) (*.f64 (cos.f64 a) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) (-.f64 (+.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 b b)) (cos.f64 a)) (cos.f64 a))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))))) (-.f64 (cos.f64 a) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.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 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))) (cos.f64 a))) |
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)))) (-.f64 (cos.f64 a) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a))) (+.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 b b)) (cos.f64 a)) (cos.f64 a))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)) |
(*.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))))) |
(*.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 b b))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal -1 binary64)))) |
(sin.f64 a) |
| 1× | egg-herbie |
| 9 906× | lower-fma.f64 |
| 9 906× | lower-fma.f32 |
| 6 414× | lower-*.f64 |
| 6 414× | lower-*.f32 |
| 3 404× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 618 | 6231 |
| 1 | 2009 | 6016 |
| 2 | 6708 | 5861 |
| 0 | 8280 | 5582 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ b (cos a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (sin b) (cos b)) |
(+ (* -1 (/ (* a (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (/ (sin b) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b))) (+ (* -1/6 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))) (* 1/2 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (cos b)) |
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(cos b) |
(+ (cos b) (* a (sin (neg b)))) |
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b))))))))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* b r) (+ 1 (* -1/2 (pow a 2)))) |
(* b (+ (* -1/6 (/ (* (pow b 2) r) (+ 1 (* -1/2 (pow a 2))))) (/ r (+ 1 (* -1/2 (pow a 2)))))) |
(* b (+ (* (pow b 2) (+ (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (* 1/120 (/ (* (pow b 2) r) (+ 1 (* -1/2 (pow a 2))))))) (/ r (+ 1 (* -1/2 (pow a 2)))))) |
(* b (+ (* (pow b 2) (+ (* -1/6 (/ r (+ 1 (* -1/2 (pow a 2))))) (* (pow b 2) (+ (* -1/5040 (/ (* (pow b 2) r) (+ 1 (* -1/2 (pow a 2))))) (* 1/120 (/ r (+ 1 (* -1/2 (pow a 2))))))))) (/ r (+ 1 (* -1/2 (pow a 2)))))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2)))) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow a 2)))) |
(* r (sin b)) |
(+ (* 1/2 (* (pow a 2) (* r (sin b)))) (* r (sin b))) |
(+ (* r (sin b)) (* (pow a 2) (- (* 1/4 (* (pow a 2) (* r (sin b)))) (* -1/2 (* r (sin b)))))) |
(+ (* r (sin b)) (* (pow a 2) (- (* (pow a 2) (- (* 1/8 (* (pow a 2) (* r (sin b)))) (* -1/4 (* r (sin b))))) (* -1/2 (* r (sin b)))))) |
(* -2 (/ (* r (sin b)) (pow a 2))) |
(/ (+ (* -4 (/ (* r (sin b)) (pow a 2))) (* -2 (* r (sin b)))) (pow a 2)) |
(/ (- (+ (* -8 (/ (* r (sin b)) (pow a 4))) (* -2 (* r (sin b)))) (* 4 (/ (* r (sin b)) (pow a 2)))) (pow a 2)) |
(/ (- (+ (* -16 (/ (* r (sin b)) (pow a 6))) (* -2 (* r (sin b)))) (+ (* 4 (/ (* r (sin b)) (pow a 2))) (* 8 (/ (* r (sin b)) (pow a 4))))) (pow a 2)) |
(* -2 (/ (* r (sin b)) (pow a 2))) |
(/ (+ (* -4 (/ (* r (sin b)) (pow a 2))) (* -2 (* r (sin b)))) (pow a 2)) |
(/ (- (+ (* -8 (/ (* r (sin b)) (pow a 4))) (* -2 (* r (sin b)))) (* 4 (/ (* r (sin b)) (pow a 2)))) (pow a 2)) |
(/ (- (+ (* -16 (/ (* r (sin b)) (pow a 6))) (* -2 (* r (sin b)))) (+ (* 4 (/ (* r (sin b)) (pow a 2))) (* 8 (/ (* r (sin b)) (pow a 4))))) (pow a 2)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
1 |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* -1/2 (pow a 2))) |
(+ 1 (* -1/2 (pow a 2))) |
(* -1/2 (pow a 2)) |
(* (pow a 2) (- (/ 1 (pow a 2)) 1/2)) |
(* (pow a 2) (- (/ 1 (pow a 2)) 1/2)) |
(* (pow a 2) (- (/ 1 (pow a 2)) 1/2)) |
(* -1/2 (pow a 2)) |
(* (pow a 2) (- (/ 1 (pow a 2)) 1/2)) |
(* (pow a 2) (- (/ 1 (pow a 2)) 1/2)) |
(* (pow a 2) (- (/ 1 (pow a 2)) 1/2)) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* 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)))) |
(/ (cos a) b) |
(/ (+ (cos a) (* -1 (* b (sin a)))) b) |
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b) |
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b) |
(/ (cos (+ a b)) (sin 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)) |
(+ (* -1 a) (/ (cos b) (sin b))) |
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b))) |
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (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))) (sin b)) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
a |
(+ a b) |
(+ a b) |
(+ a b) |
b |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
b |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
b |
(+ a b) |
(+ a b) |
(+ a b) |
a |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
a |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* -2 (/ (* r (sin b)) (* (pow b 2) (cos a)))) |
(/ (+ (* -4 (/ (* r (* (sin b) (+ (cos a) (* (sin a) (sin (neg b)))))) (* (pow b 2) (pow (cos a) 2)))) (* -2 (/ (* r (sin b)) (cos a)))) (pow b 2)) |
(/ (- (+ (* -8 (/ (* r (* (sin b) (pow (+ (cos a) (* (sin a) (sin (neg b)))) 2))) (* (pow b 4) (pow (cos a) 3)))) (* -2 (/ (* r (sin b)) (cos a)))) (* 4 (/ (* r (* (sin b) (+ (cos a) (* (sin a) (sin (neg b)))))) (* (pow b 2) (pow (cos a) 2))))) (pow b 2)) |
(/ (- (+ (* -16 (/ (* r (* (sin b) (pow (+ (cos a) (* (sin a) (sin (neg b)))) 3))) (* (pow b 6) (pow (cos a) 4)))) (* -2 (/ (* r (sin b)) (cos a)))) (+ (* 4 (/ (* r (* (sin b) (+ (cos a) (* (sin a) (sin (neg b)))))) (* (pow b 2) (pow (cos a) 2)))) (* 8 (/ (* r (* (sin b) (pow (+ (cos a) (* (sin a) (sin (neg b)))) 2))) (* (pow b 4) (pow (cos a) 3)))))) (pow b 2)) |
(* -2 (/ (* r (sin b)) (* (pow b 2) (cos a)))) |
(/ (+ (* -4 (/ (* r (* (sin b) (+ (cos a) (* (sin a) (sin (* -1 b)))))) (* (pow b 2) (pow (cos a) 2)))) (* -2 (/ (* r (sin b)) (cos a)))) (pow b 2)) |
(/ (- (+ (* -8 (/ (* r (* (sin b) (pow (+ (cos a) (* (sin a) (sin (* -1 b)))) 2))) (* (pow b 4) (pow (cos a) 3)))) (* -2 (/ (* r (sin b)) (cos a)))) (* 4 (/ (* r (* (sin b) (+ (cos a) (* (sin a) (sin (* -1 b)))))) (* (pow b 2) (pow (cos a) 2))))) (pow b 2)) |
(/ (- (+ (* -16 (/ (* r (* (sin b) (pow (+ (cos a) (* (sin a) (sin (* -1 b)))) 3))) (* (pow b 6) (pow (cos a) 4)))) (* -2 (/ (* r (sin b)) (cos a)))) (+ (* 4 (/ (* r (* (sin b) (+ (cos a) (* (sin a) (sin (* -1 b)))))) (* (pow b 2) (pow (cos a) 2)))) (* 8 (/ (* r (* (sin b) (pow (+ (cos a) (* (sin a) (sin (* -1 b)))) 2))) (* (pow b 4) (pow (cos a) 3)))))) (pow b 2)) |
(/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))) |
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2)))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))))) (+ 1 (* -1/2 (pow b 2))))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2)))))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2)))) (/ (* r (sin b)) (+ 1 (* -1/2 (pow b 2))))) |
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(* -1/2 (* (pow b 2) (cos a))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (neg b))) (pow b 2))))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (neg b))) (pow b 2))))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (neg b))) (pow b 2))))) |
(* -1/2 (* (pow b 2) (cos a))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (* -1 b))) (pow b 2))))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (* -1 b))) (pow b 2))))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (* -1 b))) (pow b 2))))) |
(+ 1 (* -1/2 (pow b 2))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* a (sin (neg b))))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (sin (neg b)) (* -1/2 (* a (+ 1 (* -1/2 (pow b 2))))))))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* -1/6 (* a (sin (neg b)))))))))) |
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(* (sin a) (sin (neg b))) |
(* (sin a) (sin (neg b))) |
(* (sin a) (sin (neg b))) |
(* (sin a) (sin (neg b))) |
(* (sin a) (sin (* -1 b))) |
(* (sin a) (sin (* -1 b))) |
(* (sin a) (sin (* -1 b))) |
(* (sin a) (sin (* -1 b))) |
(* a (sin (neg b))) |
(* a (+ (sin (neg b)) (* -1/6 (* (pow a 2) (sin (neg b)))))) |
(* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* 1/120 (* (pow a 2) (sin (neg b)))))))) |
(* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin (neg b)))) (* 1/120 (sin (neg b))))))))) |
(* (sin a) (sin (neg b))) |
(* (sin a) (sin (neg b))) |
(* (sin a) (sin (neg b))) |
(* (sin a) (sin (neg b))) |
(* (sin a) (sin (neg b))) |
(* (sin a) (sin (neg b))) |
(* (sin a) (sin (neg b))) |
(* (sin a) (sin (neg b))) |
(* -1/2 a) |
(* -1/2 a) |
(* -1/2 a) |
(* -1/2 a) |
(* -1/2 a) |
(* -1/2 a) |
(* -1/2 a) |
(* -1/2 a) |
(* -1/2 a) |
(* -1/2 a) |
(* -1/2 a) |
(* -1/2 a) |
(cos a) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(* -1/2 (* (pow b 2) (cos a))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(* -1/2 (* (pow b 2) (cos a))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(+ 1 (* -1/2 (pow b 2))) |
(+ 1 (+ (* -1/2 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* -1/2 (pow b 2)))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* 1/24 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))))))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* 1/24 (+ 1 (* -1/2 (pow b 2)))))))))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
a |
(* a (+ 1 (* -1/6 (pow a 2)))) |
(* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6)))) |
(* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6)))) |
(sin a) |
(sin a) |
(sin a) |
(sin a) |
(sin a) |
(sin a) |
(sin a) |
(sin a) |
| Outputs |
|---|
(/ b (cos a)) |
(/.f64 b (cos.f64 a)) |
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))) |
(fma.f64 b (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 b (*.f64 b (fma.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 b (cos.f64 a))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))) |
(fma.f64 (fma.f64 b (fma.f64 (fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (cos b)) |
(/.f64 (sin.f64 b) (cos.f64 b)) |
(+ (* -1 (/ (* a (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (/ (sin b) (cos b))) |
(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 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b))) |
(fma.f64 a (fma.f64 a (-.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b))) (+ (* -1/6 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))) (* 1/2 (/ (* (sin b) (sin (neg b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* (sin b) (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (/ (* (sin b) (sin (neg b))) (pow (cos b) 2)))) (/ (sin b) (cos b))) |
(fma.f64 a (fma.f64 a (+.f64 (fma.f64 (fma.f64 (sin.f64 b) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (cos.f64 b)) (*.f64 (neg.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))) (neg.f64 a) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (sin b) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* b r) (cos a)) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(*.f64 b (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 b (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (neg.f64 b) (fma.f64 r (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 a) (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (neg.f64 (cos.f64 a)))) (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
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(cos (+ a b)) |
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(cos (+ a b)) |
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(cos (+ a b)) |
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(cos (- b (* -1 a))) |
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(cos (- b (* -1 a))) |
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(cos (- b (* -1 a))) |
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(cos (- b (* -1 a))) |
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a |
(+ a b) |
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b |
(* b (+ 1 (/ a b))) |
(fma.f64 b (/.f64 a b) b) |
(* b (+ 1 (/ a b))) |
(fma.f64 b (/.f64 a b) b) |
(* b (+ 1 (/ a b))) |
(fma.f64 b (/.f64 a b) b) |
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(* -1 (* b (- (* -1 (/ a b)) 1))) |
(fma.f64 (neg.f64 b) (/.f64 a (neg.f64 b)) b) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(fma.f64 (neg.f64 b) (/.f64 a (neg.f64 b)) b) |
b |
(+ a b) |
(+.f64 b a) |
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a |
(* a (+ 1 (/ b a))) |
(fma.f64 a (/.f64 b a) a) |
(* a (+ 1 (/ b a))) |
(fma.f64 a (/.f64 b a) a) |
(* a (+ 1 (/ b a))) |
(fma.f64 a (/.f64 b a) a) |
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(fma.f64 (neg.f64 a) (/.f64 b (neg.f64 a)) a) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(fma.f64 (neg.f64 a) (/.f64 b (neg.f64 a)) a) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(fma.f64 (neg.f64 a) (/.f64 b (neg.f64 a)) a) |
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(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/ (* r (sin b)) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 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 (sin a)) (* -1/2 (* b (cos a)))))) |
(fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) (cos.f64 a)) |
(* -1/2 (* (pow b 2) (cos a))) |
(*.f64 b (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (neg b))) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (sin.f64 a) (/.f64 (sin.f64 (neg.f64 b)) (*.f64 b b)) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (neg b))) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (sin.f64 a) (/.f64 (sin.f64 (neg.f64 b)) (*.f64 b b)) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (neg b))) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (sin.f64 a) (/.f64 (sin.f64 (neg.f64 b)) (*.f64 b b)) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))) |
(* -1/2 (* (pow b 2) (cos a))) |
(*.f64 b (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (* -1 b))) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (sin.f64 a) (/.f64 (sin.f64 (neg.f64 b)) (*.f64 b b)) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (* -1 b))) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (sin.f64 a) (/.f64 (sin.f64 (neg.f64 b)) (*.f64 b b)) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (* -1 b))) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (sin.f64 a) (/.f64 (sin.f64 (neg.f64 b)) (*.f64 b b)) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))) |
(+ 1 (* -1/2 (pow b 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (pow b 2)) (* a (sin (neg b))))) |
(fma.f64 b (*.f64 b #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 a (sin.f64 b)))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (sin (neg b)) (* -1/2 (* a (+ 1 (* -1/2 (pow b 2))))))))) |
(fma.f64 a (-.f64 (*.f64 a (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (sin.f64 b)) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* -1/6 (* a (sin (neg b)))))))))) |
(fma.f64 a (fma.f64 a (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 (neg.f64 b)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))) |
(-.f64 (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))) |
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))) |
(-.f64 (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))) |
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))) |
(-.f64 (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))) |
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))) |
(-.f64 (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))) |
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))) |
(-.f64 (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))) |
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))) |
(-.f64 (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))) |
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))) |
(-.f64 (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))) |
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))) |
(-.f64 (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))) |
(* -1 (* b (sin a))) |
(neg.f64 (*.f64 b (sin.f64 a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(*.f64 b (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (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))) (neg.f64 (sin.f64 a)))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(*.f64 b (fma.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) (*.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 (neg b))) |
(*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) |
(* (sin a) (sin (neg b))) |
(*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) |
(* (sin a) (sin (neg b))) |
(*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) |
(* (sin a) (sin (neg b))) |
(*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) |
(* (sin a) (sin (* -1 b))) |
(*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) |
(* (sin a) (sin (* -1 b))) |
(*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) |
(* (sin a) (sin (* -1 b))) |
(*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) |
(* (sin a) (sin (* -1 b))) |
(*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) |
(* a (sin (neg b))) |
(neg.f64 (*.f64 a (sin.f64 b))) |
(* a (+ (sin (neg b)) (* -1/6 (* (pow a 2) (sin (neg b)))))) |
(*.f64 a (*.f64 (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 (neg.f64 b)))) |
(* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* 1/120 (* (pow a 2) (sin (neg b)))))))) |
(*.f64 a (fma.f64 (*.f64 a a) (*.f64 (sin.f64 (neg.f64 b)) (fma.f64 a (*.f64 a #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (sin.f64 (neg.f64 b)))) |
(* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin (neg b)))) (* 1/120 (sin (neg b))))))))) |
(*.f64 a (fma.f64 (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 (neg.f64 b)) (*.f64 (*.f64 (sin.f64 (neg.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 (neg b))) |
(*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) |
(* (sin a) (sin (neg b))) |
(*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) |
(* (sin a) (sin (neg b))) |
(*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) |
(* (sin a) (sin (neg b))) |
(*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) |
(* (sin a) (sin (neg b))) |
(*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) |
(* (sin a) (sin (neg b))) |
(*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) |
(* (sin a) (sin (neg b))) |
(*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) |
(* (sin a) (sin (neg b))) |
(*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) |
(* -1/2 a) |
(*.f64 a #s(literal -1/2 binary64)) |
(* -1/2 a) |
(*.f64 a #s(literal -1/2 binary64)) |
(* -1/2 a) |
(*.f64 a #s(literal -1/2 binary64)) |
(* -1/2 a) |
(*.f64 a #s(literal -1/2 binary64)) |
(* -1/2 a) |
(*.f64 a #s(literal -1/2 binary64)) |
(* -1/2 a) |
(*.f64 a #s(literal -1/2 binary64)) |
(* -1/2 a) |
(*.f64 a #s(literal -1/2 binary64)) |
(* -1/2 a) |
(*.f64 a #s(literal -1/2 binary64)) |
(* -1/2 a) |
(*.f64 a #s(literal -1/2 binary64)) |
(* -1/2 a) |
(*.f64 a #s(literal -1/2 binary64)) |
(* -1/2 a) |
(*.f64 a #s(literal -1/2 binary64)) |
(* -1/2 a) |
(*.f64 a #s(literal -1/2 binary64)) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(* -1/2 (* (pow b 2) (cos a))) |
(*.f64 b (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(*.f64 (*.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b)))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(*.f64 (*.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b)))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(*.f64 (*.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b)))) |
(* -1/2 (* (pow b 2) (cos a))) |
(*.f64 b (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(*.f64 (*.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b)))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(*.f64 (*.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b)))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(*.f64 (*.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b)))) |
(+ 1 (* -1/2 (pow b 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* -1/2 (pow b 2)))) |
(fma.f64 b (*.f64 b #s(literal -1/2 binary64)) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* 1/24 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))))))) |
(fma.f64 (*.f64 a a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* 1/24 (+ 1 (* -1/2 (pow b 2)))))))))) |
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
a |
(* a (+ 1 (* -1/6 (pow a 2)))) |
(fma.f64 a (*.f64 a (*.f64 a #s(literal -1/6 binary64))) a) |
(* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6)))) |
(fma.f64 (*.f64 a a) (*.f64 (fma.f64 a (*.f64 a #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) a) a) |
(* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 a a) (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 a (*.f64 a a)) a) |
(sin a) |
(sin.f64 a) |
(sin a) |
(sin.f64 a) |
(sin a) |
(sin.f64 a) |
(sin a) |
(sin.f64 a) |
(sin a) |
(sin.f64 a) |
(sin a) |
(sin.f64 a) |
(sin a) |
(sin.f64 a) |
(sin a) |
(sin.f64 a) |
Compiled 30 385 to 2 556 computations (91.6% saved)
71 alts after pruning (66 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 159 | 30 | 1 189 |
| Fresh | 17 | 36 | 53 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 179 | 71 | 1 250 |
| Status | Accuracy | Program |
|---|---|---|
| 77.8% | (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 5.6% | (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 b (*.f64 b (cos.f64 a)))) | |
| 14.5% | (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a)) | |
| 37.4% | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) | |
| 62.0% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) | |
| 53.5% | (/.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)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 52.8% | (/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))) | |
| 53.5% | (/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.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)) b) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 35.5% | (/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 38.4% | (/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 52.9% | (/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) | |
| 37.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))) | |
| 59.8% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) | |
| 54.1% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 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))))) | |
| ✓ | 99.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 63.2% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))) | |
| 58.0% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) | |
| ▶ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) |
| 99.0% | (/.f64 (*.f64 r (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 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 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 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) | |
| ✓ | 59.9% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
| 54.7% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) | |
| ▶ | 37.8% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
| 57.0% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) | |
| 36.2% | (/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 36.1% | (/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 36.3% | (/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 37.0% | (/.f64 (*.f64 r b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) | |
| 53.3% | (/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) | |
| ✓ | 53.3% | (/.f64 (*.f64 r b) (cos.f64 a)) |
| 52.8% | (/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b))) | |
| 35.7% | (/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| ▶ | 53.7% | (/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
| 99.4% | (/.f64 r (fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b))))) | |
| 99.5% | (/.f64 r (/.f64 (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) (sin.f64 b))) | |
| 54.0% | (/.f64 r (/.f64 (fma.f64 b (-.f64 (*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/3 binary64)) (sin.f64 a)) (cos.f64 a)) b)) | |
| 38.4% | (/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b))) | |
| 63.4% | (/.f64 r (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))))) | |
| 56.2% | (/.f64 r (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b)) | |
| 71.1% | (/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) (sin.f64 b))) | |
| 61.9% | (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) | |
| 99.5% | (/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b)))) | |
| 59.9% | (/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)) | |
| 77.8% | (/.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))) | |
| ▶ | 9.7% | (/.f64 r (neg.f64 a)) |
| 38.4% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))) | |
| 76.8% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) | |
| 33.1% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) | |
| 31.0% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) | |
| 52.7% | (*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r) | |
| 56.2% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64))))) r) | |
| 59.6% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) r) | |
| ✓ | 99.5% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r) |
| 53.9% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) r) | |
| 99.5% | (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) | |
| 77.8% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) | |
| 62.0% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) | |
| 57.0% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) | |
| 77.8% | (*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) | |
| 77.9% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) | |
| 99.1% | (*.f64 (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #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 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) r) | |
| 77.9% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r) | |
| ▶ | 77.9% | (*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)) |
| 41.6% | (*.f64 (sin.f64 b) r) | |
| ✓ | 37.3% | (*.f64 r b) |
| 35.7% | (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (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))))) | |
| 35.6% | (*.f64 b (fma.f64 r (*.f64 b a) r)) | |
| 31.1% | (*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r)) | |
| 36.4% | (*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 53.3% | (*.f64 b (/.f64 r (cos.f64 a))) | |
| 12.0% | (*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a)))) | |
| 33.7% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
Compiled 2 568 to 1 633 computations (36.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 (neg.f64 b)) |
| ✓ | cost-diff | 0 | (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))) |
| ✓ | cost-diff | 0 | (*.f64 b r) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 b a)) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (*.f64 r (sin.f64 b)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
| ✓ | cost-diff | 0 | (neg.f64 a) |
| ✓ | cost-diff | 0 | (/.f64 r (neg.f64 a)) |
| ✓ | cost-diff | 0 | (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))) |
| ✓ | cost-diff | 0 | (sin.f64 b) |
| ✓ | cost-diff | 0 | (*.f64 r (sin.f64 b)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) |
| 2 104× | lower-fma.f32 |
| 2 098× | lower-fma.f64 |
| 1 432× | lower-*.f32 |
| 1 416× | lower-*.f64 |
| 604× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 196 |
| 0 | 59 | 196 |
| 1 | 98 | 192 |
| 2 | 156 | 192 |
| 3 | 295 | 192 |
| 4 | 479 | 192 |
| 5 | 670 | 192 |
| 6 | 1102 | 192 |
| 7 | 1795 | 192 |
| 8 | 2268 | 192 |
| 9 | 2556 | 192 |
| 10 | 2934 | 192 |
| 11 | 3163 | 192 |
| 12 | 3302 | 192 |
| 13 | 3360 | 192 |
| 14 | 3364 | 192 |
| 15 | 3370 | 192 |
| 16 | 3397 | 192 |
| 17 | 3468 | 192 |
| 18 | 3488 | 192 |
| 19 | 3488 | 192 |
| 20 | 3492 | 192 |
| 0 | 3492 | 192 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))) |
(cos.f64 b) |
(cos.f64 a) |
a |
(*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) |
(sin.f64 (neg.f64 b)) |
(neg.f64 b) |
(sin.f64 a) |
(/.f64 r (neg.f64 a)) |
r |
(neg.f64 a) |
a |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(-.f64 #s(literal 1 binary64) (*.f64 b a)) |
#s(literal 1 binary64) |
(*.f64 b a) |
a |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)) |
(sin.f64 b) |
b |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) |
#s(literal 1 binary64) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
a |
r |
(/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
(*.f64 b r) |
b |
r |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))) |
(sin.f64 (neg.f64 b)) |
(neg.f64 b) |
(sin.f64 a) |
a |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 b b) |
#s(literal 1 binary64) |
(cos.f64 a) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))) |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
(cos.f64 b) |
(cos.f64 a) |
a |
(*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) |
(sin.f64 (neg.f64 b)) |
(neg.f64 b) |
(sin.f64 a) |
(/.f64 r (neg.f64 a)) |
(/.f64 (neg.f64 r) a) |
r |
(neg.f64 a) |
a |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 r (sin.f64 b)) |
r |
(sin.f64 b) |
b |
(-.f64 #s(literal 1 binary64) (*.f64 b a)) |
#s(literal 1 binary64) |
(*.f64 b a) |
a |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(sin.f64 b) |
b |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) |
(/.f64 r (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) |
#s(literal 1 binary64) |
(cos.f64 (+.f64 b a)) |
(+.f64 b a) |
a |
r |
(/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
(neg.f64 (/.f64 (*.f64 r b) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) |
(*.f64 b r) |
(*.f64 r b) |
b |
r |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))) |
(-.f64 (*.f64 (cos.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))) |
(sin.f64 (neg.f64 b)) |
(neg.f64 b) |
(sin.f64 a) |
a |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)) |
(*.f64 (cos.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) |
(fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 b b) |
#s(literal 1 binary64) |
(cos.f64 a) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))) |
| ✓ | accuracy | 100.0% | (sin.f64 a) |
| ✓ | accuracy | 99.9% | (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)) |
| ✓ | accuracy | 79.7% | (/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) |
| ✓ | accuracy | 99.6% | (*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)) |
| ✓ | accuracy | 78.1% | (cos.f64 (+.f64 b a)) |
| ✓ | accuracy | 100.0% | (sin.f64 b) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (*.f64 b a)) |
| ✓ | accuracy | 99.8% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 96.9% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
| ✓ | accuracy | 100.0% | (/.f64 r (neg.f64 a)) |
| ✓ | accuracy | 100.0% | (neg.f64 a) |
| ✓ | accuracy | 99.8% | (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))) |
| ✓ | accuracy | 99.8% | (*.f64 r (sin.f64 b)) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) |
| ✓ | accuracy | 99.7% | (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) |
| 109.0ms | 176× | 1 | valid |
| 29.0ms | 80× | 0 | valid |
Compiled 206 to 35 computations (83% saved)
ival-mult: 28.0ms (26.4% of total)ival-cos: 26.0ms (24.5% of total)ival-sin: 18.0ms (17% of total)ival-div: 11.0ms (10.4% of total)adjust: 11.0ms (10.4% of total)ival-add: 7.0ms (6.6% of total)ival-sub: 2.0ms (1.9% of total)ival-neg: 2.0ms (1.9% 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 (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))> |
#<alt (*.f64 r (sin.f64 b))> |
#<alt (sin.f64 b)> |
#<alt (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))> |
#<alt (/.f64 r (neg.f64 a))> |
#<alt (neg.f64 a)> |
#<alt (/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a)))> |
#<alt (-.f64 #s(literal 1 binary64) (*.f64 b a))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)> |
#<alt (*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))> |
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))> |
#<alt (/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))> |
#<alt (*.f64 b r)> |
#<alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))> |
#<alt (sin.f64 (neg.f64 b))> |
#<alt (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))> |
#<alt (cos.f64 (+.f64 b a))> |
#<alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))> |
#<alt (sin.f64 a)> |
| Outputs |
|---|
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* b r)> |
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))> |
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))> |
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt (* r (sin b))> |
#<alt b> |
#<alt (* b (+ 1 (* -1/6 (pow b 2))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))> |
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (sin b)> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))> |
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* a (sin (neg b))))> |
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))> |
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 (/ r a))> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (/ (* r (sin b)) (- 1 (* a b)))> |
#<alt (/ (* r (sin b)) (- 1 (* a b)))> |
#<alt (/ (* r (sin b)) (- 1 (* a b)))> |
#<alt (/ (* r (sin b)) (- 1 (* a b)))> |
#<alt (/ (* r (sin b)) (- 1 (* a b)))> |
#<alt (/ (* r (sin b)) (- 1 (* a b)))> |
#<alt (/ (* r (sin b)) (- 1 (* a b)))> |
#<alt (/ (* r (sin b)) (- 1 (* a b)))> |
#<alt (/ (* r (sin b)) (- 1 (* a b)))> |
#<alt (/ (* r (sin b)) (- 1 (* a b)))> |
#<alt (/ (* r (sin b)) (- 1 (* a b)))> |
#<alt (/ (* r (sin b)) (- 1 (* a b)))> |
#<alt (* b r)> |
#<alt (* b (+ r (* a (* b r))))> |
#<alt (* b (+ r (* b (- (* b (- (* -1/6 r) (* -1 (* (pow a 2) r)))) (* -1 (* a r))))))> |
#<alt (* b (+ r (* b (- (* b (- (+ (* -1/6 r) (* a (* b (- (* -1/6 r) (* -1 (* (pow a 2) r)))))) (* -1 (* (pow a 2) r)))) (* -1 (* a r))))))> |
#<alt (* -1 (/ (* r (sin b)) (* a b)))> |
#<alt (/ (+ (* -1 (/ (* r (sin b)) a)) (* -1 (/ (* r (sin b)) (* (pow a 2) b)))) b)> |
#<alt (/ (- (+ (* -1 (/ (* r (sin b)) a)) (* -1 (/ (* r (sin b)) (* (pow a 3) (pow b 2))))) (/ (* r (sin b)) (* (pow a 2) b))) b)> |
#<alt (/ (- (+ (* -1 (/ (* r (sin b)) a)) (* -1 (/ (* r (sin b)) (* (pow a 4) (pow b 3))))) (+ (/ (* r (sin b)) (* (pow a 2) b)) (/ (* r (sin b)) (* (pow a 3) (pow b 2))))) b)> |
#<alt (* -1 (/ (* r (sin b)) (* a b)))> |
#<alt (* -1 (/ (+ (/ (* r (sin b)) a) (/ (* r (sin b)) (* (pow a 2) b))) b))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r (sin b)) (* (pow a 3) b))) (/ (* r (sin b)) (pow a 2))) b)) (/ (* r (sin b)) a)) b))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r (sin b)) (* (pow a 4) b)) (* -1 (/ (* r (sin b)) (pow a 3)))) b)) (/ (* r (sin b)) (pow a 2))) b)) (/ (* r (sin b)) a)) b))> |
#<alt (* r (sin b))> |
#<alt (+ (* a (* b (* r (sin b)))) (* r (sin b)))> |
#<alt (+ (* a (- (* a (* (pow b 2) (* r (sin b)))) (* -1 (* b (* r (sin b)))))) (* r (sin b)))> |
#<alt (+ (* a (- (* a (- (* a (* (pow b 3) (* r (sin b)))) (* -1 (* (pow b 2) (* r (sin b)))))) (* -1 (* b (* r (sin b)))))) (* r (sin b)))> |
#<alt (* -1 (/ (* r (sin b)) (* a b)))> |
#<alt (/ (+ (* -1 (/ (* r (sin b)) b)) (* -1 (/ (* r (sin b)) (* a (pow b 2))))) a)> |
#<alt (/ (- (+ (* -1 (/ (* r (sin b)) b)) (* -1 (/ (* r (sin b)) (* (pow a 2) (pow b 3))))) (/ (* r (sin b)) (* a (pow b 2)))) a)> |
#<alt (/ (- (+ (* -1 (/ (* r (sin b)) b)) (* -1 (/ (* r (sin b)) (* (pow a 3) (pow b 4))))) (+ (/ (* r (sin b)) (* a (pow b 2))) (/ (* r (sin b)) (* (pow a 2) (pow b 3))))) a)> |
#<alt (* -1 (/ (* r (sin b)) (* a b)))> |
#<alt (* -1 (/ (+ (/ (* r (sin b)) b) (/ (* r (sin b)) (* a (pow b 2)))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r (sin b)) (* a (pow b 3)))) (/ (* r (sin b)) (pow b 2))) a)) (/ (* r (sin b)) b)) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r (sin b)) (* a (pow b 4))) (* -1 (/ (* r (sin b)) (pow b 3)))) a)) (/ (* r (sin b)) (pow b 2))) a)) (/ (* r (sin b)) b)) a))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* a b)))> |
#<alt (+ 1 (* -1 (* a b)))> |
#<alt (+ 1 (* -1 (* a b)))> |
#<alt (* -1 (* a b))> |
#<alt (* b (- (/ 1 b) a))> |
#<alt (* b (- (/ 1 b) a))> |
#<alt (* b (- (/ 1 b) a))> |
#<alt (* -1 (* a b))> |
#<alt (* b (+ (* -1 a) (/ 1 b)))> |
#<alt (* b (+ (* -1 a) (/ 1 b)))> |
#<alt (* b (+ (* -1 a) (/ 1 b)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* a b)))> |
#<alt (+ 1 (* -1 (* a b)))> |
#<alt (+ 1 (* -1 (* a b)))> |
#<alt (* -1 (* a b))> |
#<alt (* a (- (/ 1 a) b))> |
#<alt (* a (- (/ 1 a) b))> |
#<alt (* a (- (/ 1 a) b))> |
#<alt (* -1 (* a b))> |
#<alt (* a (+ (* -1 b) (/ 1 a)))> |
#<alt (* a (+ (* -1 b) (/ 1 a)))> |
#<alt (* a (+ (* -1 b) (/ 1 a)))> |
#<alt (/ r (cos a))> |
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))> |
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))> |
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (- a (* -1 b))))> |
#<alt (/ r (cos (- a (* -1 b))))> |
#<alt (/ r (cos (- a (* -1 b))))> |
#<alt (/ r (cos (- a (* -1 b))))> |
#<alt (/ r (cos b))> |
#<alt (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (- b (* -1 a))))> |
#<alt (/ r (cos (- b (* -1 a))))> |
#<alt (/ r (cos (- b (* -1 a))))> |
#<alt (/ r (cos (- b (* -1 a))))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ r (cos (+ a b)))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))> |
#<alt (/ (* r (sin b)) (cos b))> |
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ (* r (sin b)) (cos (+ a b)))> |
#<alt (/ 1 (cos a))> |
#<alt (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))> |
#<alt (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))> |
#<alt (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))> |
#<alt (/ 1 (cos (+ a b)))> |
#<alt (/ 1 (cos (+ a b)))> |
#<alt (/ 1 (cos (+ a b)))> |
#<alt (/ 1 (cos (+ a b)))> |
#<alt (/ 1 (cos (- a (* -1 b))))> |
#<alt (/ 1 (cos (- a (* -1 b))))> |
#<alt (/ 1 (cos (- a (* -1 b))))> |
#<alt (/ 1 (cos (- a (* -1 b))))> |
#<alt (/ 1 (cos b))> |
#<alt (+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2)))> |
#<alt (+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))> |
#<alt (+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))> |
#<alt (/ 1 (cos (+ a b)))> |
#<alt (/ 1 (cos (+ a b)))> |
#<alt (/ 1 (cos (+ a b)))> |
#<alt (/ 1 (cos (+ a b)))> |
#<alt (/ 1 (cos (- b (* -1 a))))> |
#<alt (/ 1 (cos (- b (* -1 a))))> |
#<alt (/ 1 (cos (- b (* -1 a))))> |
#<alt (/ 1 (cos (- b (* -1 a))))> |
#<alt (/ (* b r) (cos a))> |
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))> |
#<alt (* b (+ (* 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 (- (* 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 (* -2 (/ r (* b (cos a))))> |
#<alt (/ (+ (* -4 (/ (* r (+ (cos a) (* (sin a) (sin (neg b))))) (* (pow b 2) (pow (cos a) 2)))) (* -2 (/ r (cos a)))) b)> |
#<alt (/ (- (+ (* -8 (/ (* r (pow (+ (cos a) (* (sin a) (sin (neg b)))) 2)) (* (pow b 4) (pow (cos a) 3)))) (* -2 (/ r (cos a)))) (* 4 (/ (* r (+ (cos a) (* (sin a) (sin (neg b))))) (* (pow b 2) (pow (cos a) 2))))) b)> |
#<alt (/ (- (+ (* -16 (/ (* r (pow (+ (cos a) (* (sin a) (sin (neg b)))) 3)) (* (pow b 6) (pow (cos a) 4)))) (* -2 (/ r (cos a)))) (+ (* 4 (/ (* r (+ (cos a) (* (sin a) (sin (neg b))))) (* (pow b 2) (pow (cos a) 2)))) (* 8 (/ (* r (pow (+ (cos a) (* (sin a) (sin (neg b)))) 2)) (* (pow b 4) (pow (cos a) 3)))))) b)> |
#<alt (* -2 (/ r (* b (cos a))))> |
#<alt (* -1 (/ (+ (* 2 (/ r (cos a))) (* 4 (/ (* r (+ (cos a) (* (sin a) (sin (* -1 b))))) (* (pow b 2) (pow (cos a) 2))))) b))> |
#<alt (* -1 (/ (+ (* 2 (/ r (cos a))) (+ (* 4 (/ (* r (+ (cos a) (* (sin a) (sin (* -1 b))))) (* (pow b 2) (pow (cos a) 2)))) (* 8 (/ (* r (pow (+ (cos a) (* (sin a) (sin (* -1 b)))) 2)) (* (pow b 4) (pow (cos a) 3)))))) b))> |
#<alt (* -1 (/ (+ (* 2 (/ r (cos a))) (+ (* 4 (/ (* r (+ (cos a) (* (sin a) (sin (* -1 b))))) (* (pow b 2) (pow (cos a) 2)))) (+ (* 8 (/ (* r (pow (+ (cos a) (* (sin a) (sin (* -1 b)))) 2)) (* (pow b 4) (pow (cos a) 3)))) (* 16 (/ (* r (pow (+ (cos a) (* (sin a) (sin (* -1 b)))) 3)) (* (pow b 6) (pow (cos a) 4))))))) b))> |
#<alt (/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* b r) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (+ (* -1 (/ (* a (* b (* r (sin (neg b))))) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (/ (* b r) (+ 1 (* -1/2 (pow b 2)))))> |
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* b (* r (pow (sin (neg b)) 2))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* b r) (+ 1 (* -1/2 (pow b 2)))))))) (/ (* b (* r (sin (neg b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2)))) (/ (* b r) (+ 1 (* -1/2 (pow b 2)))))> |
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* b (* r (pow (sin (neg b)) 2))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* b r) (+ 1 (* -1/2 (pow b 2))))))) (+ 1 (* -1/2 (pow b 2))))) (+ (* -1/6 (/ (* b (* r (sin (neg b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (* 1/2 (/ (* b (* r (sin (neg b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))))) (+ (* -1 (/ (* b (* r (pow (sin (neg b)) 2))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* b r) (+ 1 (* -1/2 (pow b 2)))))))) (/ (* b (* r (sin (neg b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2)))) (/ (* b r) (+ 1 (* -1/2 (pow b 2)))))> |
#<alt (/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))))> |
#<alt (/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg 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 (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 (* -1/2 (* (pow b 2) (cos a)))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (neg b))) (pow b 2)))))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (neg b))) (pow b 2)))))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (neg b))) (pow b 2)))))> |
#<alt (* -1/2 (* (pow b 2) (cos a)))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (* -1 b))) (pow b 2)))))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (* -1 b))) (pow b 2)))))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (* -1 b))) (pow b 2)))))> |
#<alt (+ 1 (* -1/2 (pow b 2)))> |
#<alt (+ 1 (+ (* -1/2 (pow b 2)) (* a (sin (neg b)))))> |
#<alt (+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (sin (neg b)) (* -1/2 (* a (+ 1 (* -1/2 (pow b 2)))))))))> |
#<alt (+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* -1/6 (* a (sin (neg b))))))))))> |
#<alt (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))> |
#<alt (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))> |
#<alt (* -1 b)> |
#<alt (* b (- (* 1/6 (pow b 2)) 1))> |
#<alt (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))> |
#<alt (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))> |
#<alt (sin (neg b))> |
#<alt (sin (neg b))> |
#<alt (sin (neg b))> |
#<alt (sin (neg b))> |
#<alt (sin (* -1 b))> |
#<alt (sin (* -1 b))> |
#<alt (sin (* -1 b))> |
#<alt (sin (* -1 b))> |
#<alt (* -1 (* b (sin a)))> |
#<alt (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))> |
#<alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))> |
#<alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))> |
#<alt (* (sin a) (sin (neg b)))> |
#<alt (* (sin a) (sin (neg b)))> |
#<alt (* (sin a) (sin (neg b)))> |
#<alt (* (sin a) (sin (neg b)))> |
#<alt (* (sin a) (sin (* -1 b)))> |
#<alt (* (sin a) (sin (* -1 b)))> |
#<alt (* (sin a) (sin (* -1 b)))> |
#<alt (* (sin a) (sin (* -1 b)))> |
#<alt (* a (sin (neg b)))> |
#<alt (* a (+ (sin (neg b)) (* -1/6 (* (pow a 2) (sin (neg b))))))> |
#<alt (* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* 1/120 (* (pow a 2) (sin (neg b))))))))> |
#<alt (* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin (neg b)))) (* 1/120 (sin (neg b)))))))))> |
#<alt (* (sin a) (sin (neg b)))> |
#<alt (* (sin a) (sin (neg b)))> |
#<alt (* (sin a) (sin (neg b)))> |
#<alt (* (sin a) (sin (neg b)))> |
#<alt (* (sin a) (sin (neg b)))> |
#<alt (* (sin a) (sin (neg b)))> |
#<alt (* (sin a) (sin (neg b)))> |
#<alt (* (sin a) (sin (neg b)))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1 (* b (sin a))))> |
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))> |
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos (- a (* -1 b)))> |
#<alt (cos b)> |
#<alt (+ (cos b) (* -1 (* a (sin b))))> |
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))> |
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (+ a b))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos (- b (* -1 a)))> |
#<alt (cos a)> |
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))> |
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))> |
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))> |
#<alt (* -1/2 (* (pow b 2) (cos a)))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))> |
#<alt (* -1/2 (* (pow b 2) (cos a)))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))> |
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))> |
#<alt (+ 1 (* -1/2 (pow b 2)))> |
#<alt (+ 1 (+ (* -1/2 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* -1/2 (pow b 2))))> |
#<alt (+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* 1/24 (* (pow a 2) (+ 1 (* -1/2 (pow b 2)))))))))> |
#<alt (+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* 1/24 (+ 1 (* -1/2 (pow b 2))))))))))> |
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))> |
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))> |
#<alt a> |
#<alt (* a (+ 1 (* -1/6 (pow a 2))))> |
#<alt (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))> |
#<alt (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))> |
#<alt (sin a)> |
#<alt (sin a)> |
#<alt (sin a)> |
#<alt (sin a)> |
#<alt (sin a)> |
#<alt (sin a)> |
#<alt (sin a)> |
#<alt (sin a)> |
117 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | r | @ | 0 | (/ (* b r) (+ (* (sin (neg b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a)))) |
| 5.0ms | r | @ | -inf | (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin (neg b)) (sin a)))) |
| 3.0ms | a | @ | inf | (/ (* b r) (+ (* (sin (neg b)) (sin a)) (* (+ (* -1/2 (* b b)) 1) (cos a)))) |
| 2.0ms | r | @ | 0 | (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin (neg b)) (sin a)))) |
| 2.0ms | r | @ | inf | (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (sin (neg b)) (sin a)))) |
| 1× | batch-egg-rewrite |
| 5 298× | lower-*.f32 |
| 5 282× | lower-*.f64 |
| 5 104× | lower-/.f32 |
| 5 094× | lower-/.f64 |
| 2 796× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 140 |
| 0 | 59 | 152 |
| 1 | 200 | 122 |
| 2 | 1359 | 122 |
| 0 | 8682 | 122 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) |
(*.f64 r (sin.f64 b)) |
(sin.f64 b) |
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))) |
(/.f64 r (neg.f64 a)) |
(neg.f64 a) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(-.f64 #s(literal 1 binary64) (*.f64 b a)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
(*.f64 b r) |
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))) |
(sin.f64 (neg.f64 b)) |
(*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) |
(cos.f64 (+.f64 b a)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)) |
(sin.f64 a) |
| 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 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 b a)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 r))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 4 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (*.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 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))))) (*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 4 binary64))) |
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (*.f64 (*.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 #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)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 r)))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 b a)))) |
(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 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64)) |
(*.f64 #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))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))) |
(*.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 (sin.f64 b) (neg.f64 r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 r #s(literal 1 binary64))) |
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.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 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (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 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (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 (*.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 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))))) |
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 r (/.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)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a)))))))) |
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))) |
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) |
(*.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a)))) |
(*.f64 r (sin.f64 b)) |
(*.f64 (sin.f64 b) r) |
(sin.f64 b) |
(+.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))) |
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 b a)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64)))) |
(cos.f64 (+.f64 b a)) |
(cos.f64 (-.f64 (neg.f64 b) a)) |
(cos.f64 (-.f64 a (neg.f64 b))) |
(-.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 (neg.f64 b)) (sin.f64 (neg.f64 a)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 b a)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (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) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a)))) |
(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64))) |
(-.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 b a))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 b a))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.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) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 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) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(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 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 (sin.f64 a) (sin.f64 (neg.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 b 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 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 1/2 binary64) (*.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 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (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 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))))) |
(/.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (neg.f64 (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))) |
(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 (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 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) #s(literal -1 binary64)) |
(*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)) |
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (-.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 b) (cos.f64 a))))))) |
(*.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))) |
(+.f64 (*.f64 (cos.f64 a) #s(literal 1 binary64)) (*.f64 (cos.f64 a) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
(+.f64 (*.f64 (cos.f64 a) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))) (*.f64 (cos.f64 a) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (cos.f64 a))) |
(+.f64 (*.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (cos.f64 a)) (*.f64 #s(literal 1 binary64) (cos.f64 a))) |
(fma.f64 (cos.f64 a) #s(literal 1 binary64) (*.f64 (cos.f64 a) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) |
(fma.f64 (cos.f64 a) (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (*.f64 (cos.f64 a) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 a) (*.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (cos.f64 a))) |
(fma.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (cos.f64 a) (*.f64 #s(literal 1 binary64) (cos.f64 a))) |
(/.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (cos.f64 a)) (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (cos.f64 a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (cos.f64 a))) (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (cos.f64 a))) (neg.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) #s(literal 1 binary64)) (*.f64 (cos.f64 a) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 a) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))) (*.f64 (cos.f64 a) (*.f64 b (*.f64 b #s(literal -1/2 binary64))))) (*.f64 (*.f64 (cos.f64 a) #s(literal 1 binary64)) (*.f64 (cos.f64 a) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))) (*.f64 (cos.f64 a) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal 1 binary64)) (*.f64 (cos.f64 a) #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 a) (*.f64 b (*.f64 b #s(literal -1/2 binary64)))) (*.f64 (cos.f64 a) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (cos.f64 a)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 #s(literal 1 binary64) (cos.f64 a)) (-.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (cos.f64 a)) (*.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (cos.f64 a))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (cos.f64 a)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (cos.f64 a)) (*.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (cos.f64 a)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 a)) (*.f64 #s(literal 1 binary64) (cos.f64 a))) (*.f64 (*.f64 (*.f64 b (*.f64 b #s(literal -1/2 binary64))) (cos.f64 a)) (*.f64 #s(literal 1 binary64) (cos.f64 a)))))) |
(*.f64 (cos.f64 a) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 a)) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 a)) (*.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 a)))) |
(sin.f64 a) |
(neg.f64 (sin.f64 (neg.f64 a))) |
| 1× | egg-herbie |
| 9 548× | lower-fma.f64 |
| 9 548× | lower-fma.f32 |
| 6 992× | lower-*.f64 |
| 6 992× | lower-*.f32 |
| 3 272× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 710 | 6216 |
| 1 | 2352 | 5968 |
| 2 | 7699 | 5951 |
| 0 | 8083 | 5633 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))) |
(/ (* r (sin b)) (cos b)) |
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* b r) |
(* b (+ r (* -1/6 (* (pow b 2) r)))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r)))))) |
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r))))))) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
(* r (sin b)) |
b |
(* b (+ 1 (* -1/6 (pow b 2)))) |
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))) |
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6)))) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(sin b) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))) |
(cos b) |
(+ (cos b) (* a (sin (neg b)))) |
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b)))))) |
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b))))))))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))) |
(* -1 (/ r a)) |
(* -1 (/ r a)) |
(* -1 (/ r a)) |
(* -1 (/ r a)) |
(* -1 (/ r a)) |
(* -1 (/ r a)) |
(* -1 (/ r a)) |
(* -1 (/ r a)) |
(* -1 (/ r a)) |
(* -1 (/ r a)) |
(* -1 (/ r a)) |
(* -1 (/ r a)) |
(* -1 (/ r a)) |
(* -1 (/ r a)) |
(* -1 (/ r a)) |
(* -1 (/ r a)) |
(* -1 (/ r a)) |
(* -1 (/ r a)) |
(* -1 (/ r a)) |
(* -1 (/ r a)) |
(* -1 (/ r a)) |
(* -1 (/ r a)) |
(* -1 (/ r a)) |
(* -1 (/ r a)) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(/ (* r (sin b)) (- 1 (* a b))) |
(/ (* r (sin b)) (- 1 (* a b))) |
(/ (* r (sin b)) (- 1 (* a b))) |
(/ (* r (sin b)) (- 1 (* a b))) |
(/ (* r (sin b)) (- 1 (* a b))) |
(/ (* r (sin b)) (- 1 (* a b))) |
(/ (* r (sin b)) (- 1 (* a b))) |
(/ (* r (sin b)) (- 1 (* a b))) |
(/ (* r (sin b)) (- 1 (* a b))) |
(/ (* r (sin b)) (- 1 (* a b))) |
(/ (* r (sin b)) (- 1 (* a b))) |
(/ (* r (sin b)) (- 1 (* a b))) |
(* b r) |
(* b (+ r (* a (* b r)))) |
(* b (+ r (* b (- (* b (- (* -1/6 r) (* -1 (* (pow a 2) r)))) (* -1 (* a r)))))) |
(* b (+ r (* b (- (* b (- (+ (* -1/6 r) (* a (* b (- (* -1/6 r) (* -1 (* (pow a 2) r)))))) (* -1 (* (pow a 2) r)))) (* -1 (* a r)))))) |
(* -1 (/ (* r (sin b)) (* a b))) |
(/ (+ (* -1 (/ (* r (sin b)) a)) (* -1 (/ (* r (sin b)) (* (pow a 2) b)))) b) |
(/ (- (+ (* -1 (/ (* r (sin b)) a)) (* -1 (/ (* r (sin b)) (* (pow a 3) (pow b 2))))) (/ (* r (sin b)) (* (pow a 2) b))) b) |
(/ (- (+ (* -1 (/ (* r (sin b)) a)) (* -1 (/ (* r (sin b)) (* (pow a 4) (pow b 3))))) (+ (/ (* r (sin b)) (* (pow a 2) b)) (/ (* r (sin b)) (* (pow a 3) (pow b 2))))) b) |
(* -1 (/ (* r (sin b)) (* a b))) |
(* -1 (/ (+ (/ (* r (sin b)) a) (/ (* r (sin b)) (* (pow a 2) b))) b)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r (sin b)) (* (pow a 3) b))) (/ (* r (sin b)) (pow a 2))) b)) (/ (* r (sin b)) a)) b)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r (sin b)) (* (pow a 4) b)) (* -1 (/ (* r (sin b)) (pow a 3)))) b)) (/ (* r (sin b)) (pow a 2))) b)) (/ (* r (sin b)) a)) b)) |
(* r (sin b)) |
(+ (* a (* b (* r (sin b)))) (* r (sin b))) |
(+ (* a (- (* a (* (pow b 2) (* r (sin b)))) (* -1 (* b (* r (sin b)))))) (* r (sin b))) |
(+ (* a (- (* a (- (* a (* (pow b 3) (* r (sin b)))) (* -1 (* (pow b 2) (* r (sin b)))))) (* -1 (* b (* r (sin b)))))) (* r (sin b))) |
(* -1 (/ (* r (sin b)) (* a b))) |
(/ (+ (* -1 (/ (* r (sin b)) b)) (* -1 (/ (* r (sin b)) (* a (pow b 2))))) a) |
(/ (- (+ (* -1 (/ (* r (sin b)) b)) (* -1 (/ (* r (sin b)) (* (pow a 2) (pow b 3))))) (/ (* r (sin b)) (* a (pow b 2)))) a) |
(/ (- (+ (* -1 (/ (* r (sin b)) b)) (* -1 (/ (* r (sin b)) (* (pow a 3) (pow b 4))))) (+ (/ (* r (sin b)) (* a (pow b 2))) (/ (* r (sin b)) (* (pow a 2) (pow b 3))))) a) |
(* -1 (/ (* r (sin b)) (* a b))) |
(* -1 (/ (+ (/ (* r (sin b)) b) (/ (* r (sin b)) (* a (pow b 2)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r (sin b)) (* a (pow b 3)))) (/ (* r (sin b)) (pow b 2))) a)) (/ (* r (sin b)) b)) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r (sin b)) (* a (pow b 4))) (* -1 (/ (* r (sin b)) (pow b 3)))) a)) (/ (* r (sin b)) (pow b 2))) a)) (/ (* r (sin b)) b)) a)) |
1 |
(+ 1 (* -1 (* a b))) |
(+ 1 (* -1 (* a b))) |
(+ 1 (* -1 (* a b))) |
(* -1 (* a b)) |
(* b (- (/ 1 b) a)) |
(* b (- (/ 1 b) a)) |
(* b (- (/ 1 b) a)) |
(* -1 (* a b)) |
(* b (+ (* -1 a) (/ 1 b))) |
(* b (+ (* -1 a) (/ 1 b))) |
(* b (+ (* -1 a) (/ 1 b))) |
1 |
(+ 1 (* -1 (* a b))) |
(+ 1 (* -1 (* a b))) |
(+ 1 (* -1 (* a b))) |
(* -1 (* a b)) |
(* a (- (/ 1 a) b)) |
(* a (- (/ 1 a) b)) |
(* a (- (/ 1 a) b)) |
(* -1 (* a b)) |
(* a (+ (* -1 b) (/ 1 a))) |
(* a (+ (* -1 b) (/ 1 a))) |
(* a (+ (* -1 b) (/ 1 a))) |
(/ r (cos a)) |
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos (- a (* -1 b)))) |
(/ r (cos b)) |
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (- b (* -1 a)))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ r (cos (+ a b))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos (- a (* -1 b)))) |
(/ (* r (sin b)) (cos b)) |
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (- b (* -1 a)))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ (* r (sin b)) (cos (+ a b))) |
(/ 1 (cos a)) |
(+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))) |
(+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))) |
(+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (- a (* -1 b)))) |
(/ 1 (cos (- a (* -1 b)))) |
(/ 1 (cos (- a (* -1 b)))) |
(/ 1 (cos (- a (* -1 b)))) |
(/ 1 (cos b)) |
(+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2))) |
(+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b))) |
(+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (+ a b))) |
(/ 1 (cos (- b (* -1 a)))) |
(/ 1 (cos (- b (* -1 a)))) |
(/ 1 (cos (- b (* -1 a)))) |
(/ 1 (cos (- b (* -1 a)))) |
(/ (* b r) (cos a)) |
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))) |
(* b (+ (* 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 (- (* 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)))) |
(* -2 (/ r (* b (cos a)))) |
(/ (+ (* -4 (/ (* r (+ (cos a) (* (sin a) (sin (neg b))))) (* (pow b 2) (pow (cos a) 2)))) (* -2 (/ r (cos a)))) b) |
(/ (- (+ (* -8 (/ (* r (pow (+ (cos a) (* (sin a) (sin (neg b)))) 2)) (* (pow b 4) (pow (cos a) 3)))) (* -2 (/ r (cos a)))) (* 4 (/ (* r (+ (cos a) (* (sin a) (sin (neg b))))) (* (pow b 2) (pow (cos a) 2))))) b) |
(/ (- (+ (* -16 (/ (* r (pow (+ (cos a) (* (sin a) (sin (neg b)))) 3)) (* (pow b 6) (pow (cos a) 4)))) (* -2 (/ r (cos a)))) (+ (* 4 (/ (* r (+ (cos a) (* (sin a) (sin (neg b))))) (* (pow b 2) (pow (cos a) 2)))) (* 8 (/ (* r (pow (+ (cos a) (* (sin a) (sin (neg b)))) 2)) (* (pow b 4) (pow (cos a) 3)))))) b) |
(* -2 (/ r (* b (cos a)))) |
(* -1 (/ (+ (* 2 (/ r (cos a))) (* 4 (/ (* r (+ (cos a) (* (sin a) (sin (* -1 b))))) (* (pow b 2) (pow (cos a) 2))))) b)) |
(* -1 (/ (+ (* 2 (/ r (cos a))) (+ (* 4 (/ (* r (+ (cos a) (* (sin a) (sin (* -1 b))))) (* (pow b 2) (pow (cos a) 2)))) (* 8 (/ (* r (pow (+ (cos a) (* (sin a) (sin (* -1 b)))) 2)) (* (pow b 4) (pow (cos a) 3)))))) b)) |
(* -1 (/ (+ (* 2 (/ r (cos a))) (+ (* 4 (/ (* r (+ (cos a) (* (sin a) (sin (* -1 b))))) (* (pow b 2) (pow (cos a) 2)))) (+ (* 8 (/ (* r (pow (+ (cos a) (* (sin a) (sin (* -1 b)))) 2)) (* (pow b 4) (pow (cos a) 3)))) (* 16 (/ (* r (pow (+ (cos a) (* (sin a) (sin (* -1 b)))) 3)) (* (pow b 6) (pow (cos a) 4))))))) b)) |
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* b r) (+ 1 (* -1/2 (pow b 2)))) |
(+ (* -1 (/ (* a (* b (* r (sin (neg b))))) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (/ (* b r) (+ 1 (* -1/2 (pow b 2))))) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* b (* r (pow (sin (neg b)) 2))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* b r) (+ 1 (* -1/2 (pow b 2)))))))) (/ (* b (* r (sin (neg b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2)))) (/ (* b r) (+ 1 (* -1/2 (pow b 2))))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* b (* r (pow (sin (neg b)) 2))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* b r) (+ 1 (* -1/2 (pow b 2))))))) (+ 1 (* -1/2 (pow b 2))))) (+ (* -1/6 (/ (* b (* r (sin (neg b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2))) (* 1/2 (/ (* b (* r (sin (neg b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2))))))) (+ (* -1 (/ (* b (* r (pow (sin (neg b)) 2))) (pow (+ 1 (* -1/2 (pow b 2))) 3))) (* -1/2 (/ (* b r) (+ 1 (* -1/2 (pow b 2)))))))) (/ (* b (* r (sin (neg b)))) (pow (+ 1 (* -1/2 (pow b 2))) 2)))) (/ (* b r) (+ 1 (* -1/2 (pow b 2))))) |
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(* b r) |
(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)))))))) |
(* -1/2 (* (pow b 2) (cos a))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (neg b))) (pow b 2))))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (neg b))) (pow b 2))))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (neg b))) (pow b 2))))) |
(* -1/2 (* (pow b 2) (cos a))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (* -1 b))) (pow b 2))))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (* -1 b))) (pow b 2))))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (* -1 b))) (pow b 2))))) |
(+ 1 (* -1/2 (pow b 2))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* a (sin (neg b))))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (sin (neg b)) (* -1/2 (* a (+ 1 (* -1/2 (pow b 2))))))))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* -1/6 (* a (sin (neg b)))))))))) |
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))) |
(+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b)))) |
(* -1 b) |
(* b (- (* 1/6 (pow b 2)) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1)) |
(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1)) |
(sin (neg b)) |
(sin (neg b)) |
(sin (neg b)) |
(sin (neg b)) |
(sin (* -1 b)) |
(sin (* -1 b)) |
(sin (* -1 b)) |
(sin (* -1 b)) |
(* -1 (* b (sin a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a)))))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
(* (sin a) (sin (neg b))) |
(* (sin a) (sin (neg b))) |
(* (sin a) (sin (neg b))) |
(* (sin a) (sin (neg b))) |
(* (sin a) (sin (* -1 b))) |
(* (sin a) (sin (* -1 b))) |
(* (sin a) (sin (* -1 b))) |
(* (sin a) (sin (* -1 b))) |
(* a (sin (neg b))) |
(* a (+ (sin (neg b)) (* -1/6 (* (pow a 2) (sin (neg b)))))) |
(* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* 1/120 (* (pow a 2) (sin (neg b)))))))) |
(* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin (neg b)))) (* 1/120 (sin (neg b))))))))) |
(* (sin a) (sin (neg b))) |
(* (sin a) (sin (neg b))) |
(* (sin a) (sin (neg b))) |
(* (sin a) (sin (neg b))) |
(* (sin a) (sin (neg b))) |
(* (sin a) (sin (neg b))) |
(* (sin a) (sin (neg b))) |
(* (sin a) (sin (neg b))) |
(cos a) |
(+ (cos a) (* -1 (* b (sin a)))) |
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos (- a (* -1 b))) |
(cos b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (+ a b)) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos (- b (* -1 a))) |
(cos a) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(* -1/2 (* (pow b 2) (cos a))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(* -1/2 (* (pow b 2) (cos a))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(+ 1 (* -1/2 (pow b 2))) |
(+ 1 (+ (* -1/2 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* -1/2 (pow b 2)))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* 1/24 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))))))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* 1/24 (+ 1 (* -1/2 (pow b 2)))))))))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
a |
(* a (+ 1 (* -1/6 (pow a 2)))) |
(* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6)))) |
(* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6)))) |
(sin a) |
(sin a) |
(sin a) |
(sin a) |
(sin a) |
(sin a) |
(sin a) |
(sin a) |
| Outputs |
|---|
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))) |
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(/ (* b r) (+ 1 (* -1/2 (pow b 2)))) |
(*.f64 b (/.f64 r (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
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(/.f64 (*.f64 r b) (fma.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
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(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
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(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
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(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
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(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
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(/ (* b r) (+ (* (cos a) (+ 1 (* -1/2 (pow b 2)))) (* (sin a) (sin (neg b))))) |
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(cos a) |
(cos.f64 a) |
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(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a)))))) |
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(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a)))))))) |
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(* -1/2 (* (pow b 2) (cos a))) |
(*.f64 b (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (neg b))) (pow b 2))))) |
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(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (neg b))) (pow b 2))))) |
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(* -1/2 (* (pow b 2) (cos a))) |
(*.f64 b (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (* -1 b))) (pow b 2))))) |
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(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (* -1 b))) (pow b 2))))) |
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(* (pow b 2) (+ (* -1/2 (cos a)) (+ (/ (cos a) (pow b 2)) (/ (* (sin a) (sin (* -1 b))) (pow b 2))))) |
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(+ 1 (* -1/2 (pow b 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (pow b 2)) (* a (sin (neg b))))) |
(fma.f64 b (*.f64 b #s(literal -1/2 binary64)) (fma.f64 (sin.f64 b) (neg.f64 a) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (sin (neg b)) (* -1/2 (* a (+ 1 (* -1/2 (pow b 2))))))))) |
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(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* -1/6 (* a (sin (neg b)))))))))) |
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(* -1 b) |
(neg.f64 b) |
(* b (- (* 1/6 (pow b 2)) 1)) |
(*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1)) |
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(* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1)) |
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(sin (neg b)) |
(sin.f64 (neg.f64 b)) |
(sin (neg b)) |
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(sin (neg b)) |
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(sin (* -1 b)) |
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(sin (* -1 b)) |
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(sin (* -1 b)) |
(sin.f64 (neg.f64 b)) |
(sin (* -1 b)) |
(sin.f64 (neg.f64 b)) |
(* -1 (* b (sin a))) |
(neg.f64 (*.f64 b (sin.f64 a))) |
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a))))) |
(*.f64 b (*.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (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))) (neg.f64 (sin.f64 a)))) |
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a))))))))) |
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(* (sin a) (sin (neg b))) |
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(* (sin a) (sin (neg b))) |
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) |
(* (sin a) (sin (neg b))) |
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) |
(* (sin a) (sin (neg b))) |
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) |
(* (sin a) (sin (* -1 b))) |
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) |
(* (sin a) (sin (* -1 b))) |
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) |
(* (sin a) (sin (* -1 b))) |
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) |
(* (sin a) (sin (* -1 b))) |
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(* a (sin (neg b))) |
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(* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin (neg b)))) (* 1/120 (sin (neg b))))))))) |
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(* (sin a) (sin (neg b))) |
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(* (sin a) (sin (neg b))) |
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(* (sin a) (sin (neg b))) |
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(* (sin a) (sin (neg b))) |
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(* (sin a) (sin (neg b))) |
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(* (sin a) (sin (neg b))) |
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(* (sin a) (sin (neg b))) |
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(* (sin a) (sin (neg b))) |
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(cos a) |
(cos.f64 a) |
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(fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a)))) |
(fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (cos.f64 a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos (- a (* -1 b))) |
(cos.f64 (+.f64 b a)) |
(cos b) |
(cos.f64 b) |
(+ (cos b) (* -1 (* a (sin b)))) |
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)) |
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b)))) |
(fma.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (cos.f64 b))) (sin.f64 b)) (cos.f64 b)) |
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b)))) |
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 (sin.f64 b) #s(literal 1/6 binary64)) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 (neg.f64 b))) (cos.f64 b)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (+ a b)) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos (- b (* -1 a))) |
(cos.f64 (+.f64 b a)) |
(cos a) |
(cos.f64 a) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(+ (cos a) (* -1/2 (* (pow b 2) (cos a)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(* -1/2 (* (pow b 2) (cos a))) |
(*.f64 b (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(*.f64 (*.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b)))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(*.f64 (*.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b)))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(*.f64 (*.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b)))) |
(* -1/2 (* (pow b 2) (cos a))) |
(*.f64 b (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(*.f64 (*.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b)))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(*.f64 (*.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b)))) |
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2)))) |
(*.f64 (*.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b)))) |
(+ 1 (* -1/2 (pow b 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* -1/2 (pow b 2)))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 a (fma.f64 a (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) a) (*.f64 b b)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* 1/24 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))))))) |
(fma.f64 (*.f64 a a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* 1/24 (+ 1 (* -1/2 (pow b 2)))))))))) |
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(* (cos a) (+ 1 (* -1/2 (pow b 2)))) |
(*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
a |
(* a (+ 1 (* -1/6 (pow a 2)))) |
(fma.f64 a (*.f64 (*.f64 #s(literal -1/6 binary64) a) a) a) |
(* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6)))) |
(fma.f64 (*.f64 a (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) a) |
(* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6)))) |
(fma.f64 (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) a) |
(sin a) |
(sin.f64 a) |
(sin a) |
(sin.f64 a) |
(sin a) |
(sin.f64 a) |
(sin a) |
(sin.f64 a) |
(sin a) |
(sin.f64 a) |
(sin a) |
(sin.f64 a) |
(sin a) |
(sin.f64 a) |
(sin a) |
(sin.f64 a) |
Compiled 27 584 to 2 294 computations (91.7% saved)
92 alts after pruning (85 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 087 | 29 | 1 116 |
| Fresh | 5 | 56 | 61 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 095 | 92 | 1 187 |
| Status | Accuracy | Program |
|---|---|---|
| 77.8% | (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) | |
| 14.5% | (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a)) | |
| 37.4% | (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) | |
| 62.0% | (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) | |
| 53.5% | (/.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)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 52.8% | (/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))) | |
| 53.5% | (/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.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)) b) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) | |
| 35.5% | (/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 36.1% | (/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 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 #s(literal 1 binary64) (*.f64 b a))) | |
| 36.2% | (/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) | |
| 38.4% | (/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 52.9% | (/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) | |
| 59.8% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) | |
| 54.1% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 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))))) | |
| ✓ | 99.6% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
| 63.2% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))) | |
| 58.0% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) | |
| 55.1% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a)))) | |
| 54.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a)))) | |
| ✓ | 99.5% | (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) |
| 99.0% | (/.f64 (*.f64 r (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 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 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 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) | |
| ✓ | 59.9% | (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
| 14.5% | (/.f64 (*.f64 r (sin.f64 b)) (*.f64 b (neg.f64 a))) | |
| 57.0% | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) | |
| 36.2% | (/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 36.1% | (/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 36.3% | (/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 36.7% | (/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) | |
| ✓ | 53.3% | (/.f64 (*.f64 r b) (cos.f64 a)) |
| 52.8% | (/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b))) | |
| 35.7% | (/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 53.4% | (/.f64 (*.f64 b r) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) | |
| 53.2% | (/.f64 (*.f64 b r) (fma.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) | |
| 37.5% | (/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))) | |
| 53.7% | (/.f64 (*.f64 b r) (fma.f64 (neg.f64 b) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) | |
| 37.4% | (/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) | |
| 55.7% | (/.f64 (*.f64 b r) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) | |
| 3.1% | (/.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 b (cos.f64 a))) | |
| 99.4% | (/.f64 r (fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b))))) | |
| 99.5% | (/.f64 r (/.f64 (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) (sin.f64 b))) | |
| 54.0% | (/.f64 r (/.f64 (fma.f64 b (-.f64 (*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/3 binary64)) (sin.f64 a)) (cos.f64 a)) b)) | |
| 38.4% | (/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b))) | |
| 63.4% | (/.f64 r (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))))) | |
| 56.2% | (/.f64 r (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b)) | |
| 4.6% | (/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))) | |
| 4.6% | (/.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a)))))) | |
| 71.1% | (/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) (sin.f64 b))) | |
| 61.9% | (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) | |
| 99.5% | (/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b)))) | |
| 59.9% | (/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)) | |
| 77.8% | (/.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))) | |
| ✓ | 9.7% | (/.f64 r (neg.f64 a)) |
| 38.4% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))) | |
| 37.7% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 r (sin.f64 b)))) | |
| 76.8% | (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) | |
| 10.0% | (/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r))) | |
| 37.2% | (*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) | |
| 33.1% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) | |
| 31.0% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) | |
| 52.7% | (*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r) | |
| 56.2% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64))))) r) | |
| 59.6% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) r) | |
| ✓ | 99.5% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r) |
| 53.9% | (*.f64 (/.f64 (sin.f64 b) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) r) | |
| 99.5% | (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) | |
| 36.3% | (*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (*.f64 b a) (*.f64 b a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b a) (fma.f64 b a #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| 37.8% | (*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) r) | |
| 77.8% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) | |
| 62.0% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) | |
| 57.0% | (*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) | |
| 77.8% | (*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) | |
| 77.9% | (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) | |
| 37.8% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 r (sin.f64 b))) | |
| 9.7% | (*.f64 (/.f64 #s(literal -1 binary64) a) r) | |
| 99.1% | (*.f64 (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #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 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) r) | |
| 77.9% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r) | |
| 62.0% | (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) | |
| 57.0% | (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) | |
| 57.1% | (*.f64 (sin.f64 b) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) r)) | |
| 99.5% | (*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r)) | |
| 62.0% | (*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) r)) | |
| 57.0% | (*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) | |
| 37.8% | (*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))))) | |
| 41.6% | (*.f64 (sin.f64 b) r) | |
| ✓ | 37.3% | (*.f64 r b) |
| 35.7% | (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (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))))) | |
| 35.6% | (*.f64 b (fma.f64 r (*.f64 b a) r)) | |
| 31.1% | (*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r)) | |
| 36.4% | (*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 53.3% | (*.f64 b (/.f64 r (cos.f64 a))) | |
| 12.0% | (*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a)))) | |
| 33.7% | (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
Compiled 3 936 to 1 570 computations (60.1% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 b (fma.f64 r (*.f64 b a) r)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) r) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r))) |
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a)))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r)) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b (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 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.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 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (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 (sin.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) |
(/.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 b (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 b (neg.f64 a))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))) |
(/.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a)))))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (*.f64 b a) (*.f64 b a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b a) (fma.f64 b a #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) r)) |
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 b r) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
(/.f64 (*.f64 r b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) r) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) |
(/.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(/.f64 r (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b)) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 b (*.f64 b (cos.f64 a)))) |
(/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (*.f64 b r) (fma.f64 (neg.f64 b) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) (sin.f64 b))) |
(/.f64 (*.f64 b r) (fma.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
(/.f64 (*.f64 b r) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(*.f64 (sin.f64 b) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) r) |
(/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
(/.f64 r (/.f64 (fma.f64 b (-.f64 (*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/3 binary64)) (sin.f64 a)) (cos.f64 a)) b)) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64))))) r) |
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))) |
(/.f64 (*.f64 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 (*.f64 r (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 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 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 (*.f64 r (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 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a)))) |
(/.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)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 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))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a)))) |
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.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)) b) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64)) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))) r)) |
(/.f64 r (/.f64 (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))) (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b)))) |
(/.f64 r (fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (/.f64 #s(literal 1 binary64) (sin.f64 b)) (neg.f64 (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (sin.f64 b))))) |
(/.f64 r (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (*.f64 (sin.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b))))))) |
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #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 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) r) |
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #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 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))))) |
(/.f64 (*.f64 r (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 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 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 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
4 calls:
| 66.0ms | b |
| 55.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 38.0ms | r |
| 37.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | r |
| 99.6% | 1 | a |
| 99.6% | 1 | b |
| 99.6% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 b (fma.f64 r (*.f64 b a) r)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) r) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r))) |
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a)))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r)) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b (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 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.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 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (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 (sin.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) |
(/.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 b (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 b (neg.f64 a))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))) |
(/.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a)))))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (*.f64 b a) (*.f64 b a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b a) (fma.f64 b a #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) r)) |
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 b r) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
(/.f64 (*.f64 r b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) r) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) |
(/.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(/.f64 r (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b)) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 b (*.f64 b (cos.f64 a)))) |
(/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (*.f64 b r) (fma.f64 (neg.f64 b) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) (sin.f64 b))) |
(/.f64 (*.f64 b r) (fma.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
(/.f64 (*.f64 b r) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(*.f64 (sin.f64 b) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) r) |
(/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
(/.f64 r (/.f64 (fma.f64 b (-.f64 (*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/3 binary64)) (sin.f64 a)) (cos.f64 a)) b)) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64))))) r) |
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))) |
(/.f64 (*.f64 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 (*.f64 r (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 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 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 (*.f64 r (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 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a)))) |
(/.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)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 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))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a)))) |
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.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)) b) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64)) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r) |
4 calls:
| 61.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 59.0ms | a |
| 53.0ms | b |
| 49.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | r |
| 99.5% | 1 | a |
| 99.5% | 1 | b |
| 99.5% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 b (fma.f64 r (*.f64 b a) r)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) r) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r))) |
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a)))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r)) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b (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 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.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 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (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 (sin.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) |
(/.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 b (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 b (neg.f64 a))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))) |
(/.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a)))))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (*.f64 b a) (*.f64 b a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b a) (fma.f64 b a #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) r)) |
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 b r) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
(/.f64 (*.f64 r b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) r) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) |
(/.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(/.f64 r (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b)) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 b (*.f64 b (cos.f64 a)))) |
(/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (*.f64 b r) (fma.f64 (neg.f64 b) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) (sin.f64 b))) |
(/.f64 (*.f64 b r) (fma.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
(/.f64 (*.f64 b r) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(*.f64 (sin.f64 b) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) r) |
(/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
(/.f64 r (/.f64 (fma.f64 b (-.f64 (*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/3 binary64)) (sin.f64 a)) (cos.f64 a)) b)) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64))))) r) |
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))) |
(/.f64 (*.f64 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 (*.f64 r (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 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 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 (*.f64 r (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 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a)))) |
(/.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)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 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))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a)))) |
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.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)) b) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64)) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) |
4 calls:
| 50.0ms | a |
| 44.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 39.0ms | r |
| 30.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | a |
| 99.5% | 1 | b |
| 99.5% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 99.5% | 1 | r |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 b (fma.f64 r (*.f64 b a) r)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) r) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r))) |
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a)))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r)) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b (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 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.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 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (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 (sin.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) |
(/.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 b (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 b (neg.f64 a))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))) |
(/.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a)))))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (*.f64 b a) (*.f64 b a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b a) (fma.f64 b a #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 b)) r)) |
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) |
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)) r) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 b r) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
(/.f64 (*.f64 r b) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(/.f64 r (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)) |
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) |
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) (cos.f64 b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) r) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) |
(/.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) (cos.f64 (+.f64 b a)))) |
(/.f64 r (/.f64 (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))) b)) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 b (*.f64 b (cos.f64 a)))) |
(/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))) |
(/.f64 (*.f64 b r) (fma.f64 (neg.f64 b) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b)))) |
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) |
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) (sin.f64 b))) |
(/.f64 (*.f64 b r) (fma.f64 (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
(/.f64 (*.f64 b r) (fma.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))) |
(*.f64 (sin.f64 b) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a))))) #s(literal -1/2 binary64)) r)) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 b (neg.f64 (sin.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) r) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) r) |
(/.f64 (*.f64 b r) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
(/.f64 r (/.f64 (fma.f64 b (-.f64 (*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/3 binary64)) (sin.f64 a)) (cos.f64 a)) b)) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64))))) r) |
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (cos.f64 b))) |
(/.f64 (*.f64 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 (*.f64 r (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 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 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 (*.f64 r (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 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a)))) |
(/.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)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 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))))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 a)))) |
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.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)) b) b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
4 calls:
| 34.0ms | r |
| 33.0ms | b |
| 31.0ms | a |
| 31.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.9% | 1 | r |
| 77.9% | 1 | a |
| 77.9% | 1 | b |
| 77.9% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 b (fma.f64 r (*.f64 b a) r)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) r) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r))) |
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a)))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r)) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b (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 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.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 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (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 (sin.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) |
(/.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 b (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 b (neg.f64 a))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))) |
(/.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a)))))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (*.f64 b a) (*.f64 b a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b a) (fma.f64 b a #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)) |
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)) |
| Outputs |
|---|
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) |
4 calls:
| 19.0ms | r |
| 16.0ms | a |
| 16.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 15.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.7% | 3 | a |
| 66.5% | 3 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 78.1% | 3 | b |
| 62.0% | 1 | r |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 b (fma.f64 r (*.f64 b a) r)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) r) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r))) |
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a)))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r)) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b (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 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.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 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (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 (sin.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) |
(/.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 b (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 b (neg.f64 a))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))) |
(/.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a)))))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (*.f64 b a) (*.f64 b a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b a) (fma.f64 b a #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) |
| Outputs |
|---|
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) |
1 calls:
| 15.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.0% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 b (fma.f64 r (*.f64 b a) r)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) r) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r))) |
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a)))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r)) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b (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 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.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 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (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 (sin.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) |
(/.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 b (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 b (neg.f64 a))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))) |
(/.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a)))))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (*.f64 b a) (*.f64 b a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b a) (fma.f64 b a #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r) |
| Outputs |
|---|
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) |
1 calls:
| 15.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.0% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 b (fma.f64 r (*.f64 b a) r)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) r) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r))) |
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a)))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r)) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b (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 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.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 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (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 (sin.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) |
(/.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 b (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 b (neg.f64 a))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))) |
(/.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a)))))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (*.f64 b a) (*.f64 b a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b a) (fma.f64 b a #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) |
| Outputs |
|---|
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) |
4 calls:
| 15.0ms | r |
| 14.0ms | b |
| 14.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 13.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.0% | 1 | r |
| 57.0% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 57.0% | 1 | a |
| 57.0% | 1 | b |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 b (fma.f64 r (*.f64 b a) r)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) r) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r))) |
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a)))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r)) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b (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 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.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 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (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 (sin.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) |
(/.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 b (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 b (neg.f64 a))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))) |
(/.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a)))))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b a) (*.f64 (*.f64 b a) (*.f64 b a))))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b a) (fma.f64 b a #s(literal 1 binary64)) #s(literal 1 binary64))))) |
| Outputs |
|---|
(*.f64 (sin.f64 b) r) |
(/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))) |
(*.f64 (sin.f64 b) r) |
4 calls:
| 21.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 18.0ms | b |
| 13.0ms | r |
| 13.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.8% | 3 | b |
| 53.3% | 1 | r |
| 53.3% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 53.3% | 1 | a |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 b (fma.f64 r (*.f64 b a) r)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) r) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r))) |
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a)))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r)) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b (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 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.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 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (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 (sin.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) |
(/.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 b (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 b (neg.f64 a))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))) |
(/.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a)))))) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (sin.f64 b) r) |
(/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) |
(*.f64 (sin.f64 b) r) |
1 calls:
| 13.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.7% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 b (fma.f64 r (*.f64 b a) r)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) r) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r))) |
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a)))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r)) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b (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 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.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 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (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 (sin.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) |
(/.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 b (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 b (neg.f64 a))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 r (sin.f64 b)))) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))) |
(/.f64 r (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a)))))) |
| Outputs |
|---|
(*.f64 (sin.f64 b) r) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b))) |
(*.f64 (sin.f64 b) r) |
1 calls:
| 43.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.7% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 b (fma.f64 r (*.f64 b a) r)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) r) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r))) |
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a)))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r)) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b (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 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.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 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (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 (sin.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) |
(/.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 b (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 b (neg.f64 a))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b a)) (*.f64 r (sin.f64 b)))) |
| Outputs |
|---|
(*.f64 (sin.f64 b) r) |
(*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r) |
(*.f64 (sin.f64 b) r) |
1 calls:
| 17.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.7% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 b (fma.f64 r (*.f64 b a) r)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) r) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r))) |
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a)))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r)) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b (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 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.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 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (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 (sin.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(/.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) |
(/.f64 (*.f64 r b) (cos.f64 (+.f64 a b))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r)) |
(/.f64 (*.f64 #s(literal -2 binary64) r) (*.f64 b (cos.f64 a))) |
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 b (neg.f64 a))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) r) |
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -2 binary64)) (*.f64 a a)) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 b a))) (*.f64 r (sin.f64 b))) |
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 b (-.f64 (*.f64 b #s(literal -1/2 binary64)) a) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 b))) |
| Outputs |
|---|
(*.f64 (sin.f64 b) r) |
(/.f64 (*.f64 r b) (cos.f64 a)) |
(*.f64 (sin.f64 b) r) |
1 calls:
| 11.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.6% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 b (fma.f64 r (*.f64 b a) r)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) r) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r))) |
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a)))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r)) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b (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 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.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 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (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 (sin.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (fma.f64 b a #s(literal 1 binary64)) (*.f64 r (sin.f64 b))) |
| Outputs |
|---|
(*.f64 (sin.f64 b) r) |
(*.f64 b (/.f64 r (cos.f64 a))) |
(*.f64 (sin.f64 b) r) |
1 calls:
| 7.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.6% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 b (fma.f64 r (*.f64 b a) r)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) r) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r))) |
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a)))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r)) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b (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 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.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 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (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 (sin.f64 b) r) |
| Outputs |
|---|
(*.f64 (sin.f64 b) r) |
4 calls:
| 37.0ms | b |
| 7.0ms | a |
| 6.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 6.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.6% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 41.6% | 1 | r |
| 41.6% | 1 | a |
| 41.6% | 1 | b |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 b (fma.f64 r (*.f64 b a) r)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) r) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r))) |
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a)))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 r #s(literal -1/6 binary64)) (*.f64 r (fma.f64 (neg.f64 a) a #s(literal -1/2 binary64)))) (*.f64 r a)) r)) |
(/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 b r)) r)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 r (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))) |
(/.f64 (*.f64 r b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) b) b)) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 r (fma.f64 b (*.f64 b (*.f64 b (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 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 (*.f64 b (*.f64 r (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64)))) (*.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 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/120 binary64) (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (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))))) |
| Outputs |
|---|
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
4 calls:
| 28.0ms | b |
| 18.0ms | a |
| 6.0ms | r |
| 6.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.4% | 1 | b |
| 37.4% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 37.4% | 1 | r |
| 37.4% | 1 | a |
Compiled 24 to 17 computations (29.2% saved)
Total -21.5b remaining (-53.7%)
Threshold costs -21.5b (-53.7%)
| Inputs |
|---|
(*.f64 r b) |
(/.f64 r (neg.f64 a)) |
(*.f64 b (fma.f64 r (*.f64 b a) r)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) r) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 r b)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 r))) |
(/.f64 (*.f64 r b) (-.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 #s(literal 6 binary64) (/.f64 r (*.f64 a (*.f64 a a)))) |
(*.f64 b (/.f64 r (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 r b) |
4 calls:
| 3.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 3.0ms | a |
| 3.0ms | b |
| 3.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.3% | 1 | r |
| 37.3% | 1 | a |
| 37.3% | 1 | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
| 37.3% | 1 | b |
Compiled 24 to 17 computations (29.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 96.06293373142105 | 200.93937132642142 |
| 83.0ms | -0.11419441107840535 | -9.550848171899244e-5 |
| 15.0ms | 109× | 1 | valid |
| 8.0ms | 99× | 0 | valid |
Compiled 301 to 222 computations (26.2% saved)
ival-cos: 6.0ms (36.2% of total)ival-sin: 4.0ms (24.1% of total)ival-add: 2.0ms (12.1% of total)ival-div: 2.0ms (12.1% of total)adjust: 2.0ms (12.1% of total)ival-mult: 1.0ms (6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 96.06293373142105 | 200.93937132642142 |
| 1.0ms | -0.11419441107840535 | -9.550848171899244e-5 |
Compiled 301 to 222 computations (26.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 96.06293373142105 | 200.93937132642142 |
| 1.0ms | -0.11419441107840535 | -9.550848171899244e-5 |
Compiled 301 to 222 computations (26.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 4.5298883552155056e-8 | 96.06293373142105 |
| 52.0ms | -3.241971245078001e+26 | -427911832719.0078 |
| 51.0ms | 182× | 1 | valid |
| 12.0ms | 122× | 0 | valid |
Compiled 718 to 470 computations (34.5% saved)
ival-mult: 18.0ms (33.5% of total)ival-sin: 16.0ms (29.8% of total)ival-cos: 11.0ms (20.5% of total)adjust: 4.0ms (7.4% of total)ival-add: 2.0ms (3.7% of total)ival-div: 2.0ms (3.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 4.5298883552155056e-8 | 96.06293373142105 |
| 42.0ms | -1.2628193066030426 | -0.11419441107840535 |
| 34.0ms | 78× | 0 | valid |
| 10.0ms | 66× | 1 | valid |
Compiled 495 to 329 computations (33.5% saved)
ival-div: 28.0ms (70.8% of total)ival-sin: 4.0ms (10.1% of total)ival-cos: 4.0ms (10.1% of total)ival-add: 1.0ms (2.5% of total)adjust: 1.0ms (2.5% of total)ival-mult: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.5298883552155056e-8 | 96.06293373142105 |
| 1.0ms | -3.241971245078001e+26 | -427911832719.0078 |
Compiled 528 to 356 computations (32.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.5298883552155056e-8 | 96.06293373142105 |
| 1.0ms | -3.241971245078001e+26 | -427911832719.0078 |
Compiled 528 to 356 computations (32.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 4.5298883552155056e-8 | 96.06293373142105 |
| 1.0ms | -3.241971245078001e+26 | -427911832719.0078 |
| 2.0ms | 13× | 1 | valid |
| 2.0ms | 19× | 0 | valid |
Compiled 357 to 261 computations (26.9% saved)
ival-sin: 1.0ms (33.5% of total)ival-cos: 1.0ms (33.5% of total)ival-add: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-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 |
|---|---|---|
| 27.0ms | 4.5298883552155056e-8 | 96.06293373142105 |
| 1.0ms | -3.241971245078001e+26 | -427911832719.0078 |
Compiled 357 to 261 computations (26.9% saved)
| 1× | egg-herbie |
| 52× | *-commutative_binary64 |
| 12× | +-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 351 |
| 1 | 136 | 351 |
| 2 | 148 | 351 |
| 3 | 155 | 351 |
| 4 | 159 | 351 |
| 5 | 160 | 351 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) |
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) |
(if (<=.f64 b #s(literal -3910709743626425/36893488147419103232 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (if (<=.f64 b #s(literal 98 binary64)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))) |
(if (<=.f64 b #s(literal -3910709743626425/36893488147419103232 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (if (<=.f64 b #s(literal 98 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))) |
(if (<=.f64 b #s(literal -3910709743626425/36893488147419103232 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (if (<=.f64 b #s(literal 98 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) |
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 (sin.f64 b) r) (if (<=.f64 b #s(literal 3152519739159347/562949953421312 binary64)) (/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r))) |
(if (<=.f64 b #s(literal -5/4 binary64)) (*.f64 (sin.f64 b) r) (if (<=.f64 b #s(literal 9/2 binary64)) (/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r))) |
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 (sin.f64 b) r) (if (<=.f64 b #s(literal 3152519739159347/562949953421312 binary64)) (/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r))) |
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 (sin.f64 b) r) (if (<=.f64 b #s(literal 3152519739159347/562949953421312 binary64)) (*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r) (*.f64 (sin.f64 b) r))) |
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 (sin.f64 b) r) (if (<=.f64 b #s(literal 2589569785738035/562949953421312 binary64)) (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 (sin.f64 b) r))) |
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 (sin.f64 b) r) (if (<=.f64 b #s(literal 2589569785738035/562949953421312 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 (sin.f64 b) r))) |
(*.f64 (sin.f64 b) r) |
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(*.f64 r b) |
| Outputs |
|---|
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))) |
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) r) |
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))) |
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r) |
(*.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 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) |
(if (<=.f64 b #s(literal -3910709743626425/36893488147419103232 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (if (<=.f64 b #s(literal 98 binary64)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))) |
(if (<=.f64 b #s(literal -3910709743626425/36893488147419103232 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (if (<=.f64 b #s(literal 98 binary64)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a)) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))) |
(if (<=.f64 b #s(literal -3910709743626425/36893488147419103232 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (if (<=.f64 b #s(literal 98 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))) |
(if (<=.f64 b #s(literal -3910709743626425/36893488147419103232 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (if (<=.f64 b #s(literal 98 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))) |
(if (<=.f64 b #s(literal -3910709743626425/36893488147419103232 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))) (if (<=.f64 b #s(literal 98 binary64)) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))) |
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 a))) |
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 (sin.f64 b) r) (if (<=.f64 b #s(literal 3152519739159347/562949953421312 binary64)) (/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r))) |
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 3152519739159347/562949953421312 binary64)) (/.f64 (*.f64 r (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))) |
(if (<=.f64 b #s(literal -5/4 binary64)) (*.f64 (sin.f64 b) r) (if (<=.f64 b #s(literal 9/2 binary64)) (/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r))) |
(if (<=.f64 b #s(literal -5/4 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 9/2 binary64)) (/.f64 (*.f64 r (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))) |
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 (sin.f64 b) r) (if (<=.f64 b #s(literal 3152519739159347/562949953421312 binary64)) (/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r))) |
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 3152519739159347/562949953421312 binary64)) (/.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) (*.f64 r (*.f64 b b)) r)) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))) |
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 (sin.f64 b) r) (if (<=.f64 b #s(literal 3152519739159347/562949953421312 binary64)) (*.f64 (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a))) r) (*.f64 (sin.f64 b) r))) |
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 3152519739159347/562949953421312 binary64)) (*.f64 r (/.f64 (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b) (cos.f64 (+.f64 b a)))) (*.f64 r (sin.f64 b)))) |
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 (sin.f64 b) r) (if (<=.f64 b #s(literal 2589569785738035/562949953421312 binary64)) (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 (sin.f64 b) r))) |
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 2589569785738035/562949953421312 binary64)) (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 r (sin.f64 b)))) |
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 (sin.f64 b) r) (if (<=.f64 b #s(literal 2589569785738035/562949953421312 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 (sin.f64 b) r))) |
(if (<=.f64 b #s(literal -440000000000 binary64)) (*.f64 r (sin.f64 b)) (if (<=.f64 b #s(literal 2589569785738035/562949953421312 binary64)) (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 r (sin.f64 b)))) |
(*.f64 (sin.f64 b) r) |
(*.f64 r (sin.f64 b)) |
(/.f64 (*.f64 b r) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(/.f64 (*.f64 r b) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) |
(*.f64 r b) |
| 10 934× | lower-fma.f64 |
| 10 934× | lower-fma.f32 |
| 9 906× | lower-fma.f64 |
| 9 906× | lower-fma.f32 |
| 9 548× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 960 |
| 1 | 517 | 928 |
| 2 | 1595 | 886 |
| 3 | 5409 | 885 |
| 0 | 8292 | 853 |
| 0 | 618 | 6231 |
| 1 | 2009 | 6016 |
| 2 | 6708 | 5861 |
| 0 | 8280 | 5582 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 44 | 19 |
| 2 | 234 | 19 |
| 3 | 2050 | 19 |
| 0 | 8441 | 19 |
| 0 | 730 | 6440 |
| 1 | 2309 | 6191 |
| 2 | 7871 | 6153 |
| 0 | 8170 | 5822 |
| 0 | 710 | 6216 |
| 1 | 2352 | 5968 |
| 2 | 7699 | 5951 |
| 0 | 8083 | 5633 |
| 0 | 32 | 155 |
| 0 | 62 | 169 |
| 1 | 232 | 141 |
| 2 | 1702 | 141 |
| 0 | 8281 | 141 |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 108 to 611 computations (44.9% saved)
(negabs r)
Compiled 960 to 364 computations (62.1% saved)
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