
Time bar (total: 10.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 1 |
| 50% | 12.5% | 12.5% | 75% | 0% | 0% | 0% | 2 |
| 50% | 12.5% | 12.5% | 75% | 0% | 0% | 0% | 3 |
| 75% | 18.7% | 6.2% | 75% | 0% | 0% | 0% | 4 |
| 87.5% | 21.8% | 3.1% | 75% | 0% | 0% | 0% | 5 |
| 93.8% | 23.4% | 1.6% | 75% | 0% | 0% | 0% | 6 |
| 93.8% | 23.4% | 1.6% | 75% | 0% | 0% | 0% | 7 |
| 96.9% | 24.2% | 0.8% | 75% | 0% | 0% | 0% | 8 |
| 96.9% | 24.2% | 0.8% | 75% | 0% | 0% | 0% | 9 |
| 98.4% | 24.6% | 0.4% | 75% | 0% | 0% | 0% | 10 |
| 98.4% | 24.6% | 0.4% | 75% | 0% | 0% | 0% | 11 |
| 99.2% | 24.8% | 0.2% | 75% | 0% | 0% | 0% | 12 |
Compiled 19 to 14 computations (26.3% saved)
| 1.2s | 8 256× | 0 | valid |
ival-cos: 276.0ms (32.1% of total)ival-sin: 275.0ms (32% of total)ival-mult: 124.0ms (14.4% of total)ival-div: 74.0ms (8.6% of total)ival-<=: 44.0ms (5.1% of total)ival-add: 39.0ms (4.5% of total)ival-and: 13.0ms (1.5% of total)exact: 10.0ms (1.2% of total)ival-assert: 3.0ms (0.3% of total)| 1× | egg-herbie |
| 524× | times-frac |
| 318× | distribute-lft-neg-in |
| 308× | distribute-rgt-in |
| 302× | associate-*r* |
| 292× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 63 |
| 1 | 64 | 57 |
| 2 | 152 | 55 |
| 3 | 402 | 55 |
| 4 | 1000 | 55 |
| 5 | 1548 | 55 |
| 6 | 1723 | 55 |
| 7 | 1874 | 55 |
| 8 | 2030 | 55 |
| 9 | 2445 | 55 |
| 10 | 2540 | 55 |
| 11 | 2601 | 55 |
| 12 | 2653 | 55 |
| 13 | 2658 | 55 |
| 0 | 9 | 11 |
| 0 | 15 | 11 |
| 1 | 22 | 11 |
| 2 | 25 | 11 |
| 3 | 26 | 11 |
| 0 | 26 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(negabs v)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | e |
| 0 | 0 | - | 0 | - | (*.f64 e (cos.f64 v)) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 0 | 0 | - | 0 | - | v |
| 0 | 0 | - | 0 | - | (sin.f64 v) |
| 0 | 0 | - | 0 | - | (*.f64 e (sin.f64 v)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
| 0 | 0 | - | 0 | - | (cos.f64 v) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 55.0ms | 512× | 0 | valid |
Compiled 94 to 40 computations (57.4% saved)
ival-sin: 17.0ms (43.3% of total)ival-cos: 10.0ms (25.4% of total)ival-mult: 6.0ms (15.3% of total)ival-div: 3.0ms (7.6% of total)ival-add: 2.0ms (5.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 13 to 9 computations (30.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 v) |
| ✓ | cost-diff | 0 | (*.f64 e (sin.f64 v)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
| 16× | lower-*.f32 |
| 12× | lower-*.f64 |
| 8× | *-commutative |
| 6× | lower-/.f32 |
| 4× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 0 | 15 | 32 |
| 1 | 22 | 32 |
| 2 | 25 | 32 |
| 3 | 26 | 32 |
| 0 | 26 | 30 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(*.f64 e (sin.f64 v)) |
e |
(sin.f64 v) |
v |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
#s(literal 1 binary64) |
(*.f64 e (cos.f64 v)) |
(cos.f64 v) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 e (sin.f64 v)) |
e |
(sin.f64 v) |
v |
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 e (cos.f64 v)) |
(cos.f64 v) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 v) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| ✓ | accuracy | 99.8% | (*.f64 e (sin.f64 v)) |
| ✓ | accuracy | 99.8% | (*.f64 e (cos.f64 v)) |
| 23.0ms | 256× | 0 | valid |
Compiled 34 to 11 computations (67.6% saved)
ival-sin: 5.0ms (32.4% of total)ival-cos: 4.0ms (25.9% of total)ival-mult: 3.0ms (19.4% of total)ival-div: 1.0ms (6.5% of total)ival-add: 1.0ms (6.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))> |
#<alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))> |
#<alt (*.f64 e (sin.f64 v))> |
#<alt (sin.f64 v)> |
#<alt (*.f64 e (cos.f64 v))> |
#<alt (cos.f64 v)> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (* e (cos v))> |
#<alt (* e (+ (cos v) (/ 1 e)))> |
#<alt (* e (+ (cos v) (/ 1 e)))> |
#<alt (* e (+ (cos v) (/ 1 e)))> |
#<alt (* e (cos v))> |
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))> |
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))> |
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))> |
#<alt (+ 1 e)> |
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))> |
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))> |
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (* e (sin v))> |
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))> |
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))> |
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))> |
#<alt (/ (sin v) (cos v))> |
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))> |
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))> |
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))> |
#<alt (/ (sin v) (cos v))> |
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))> |
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))> |
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e v)> |
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))> |
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))> |
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt v> |
#<alt (* v (+ 1 (* -1/6 (pow v 2))))> |
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))> |
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt e> |
#<alt (+ e (* -1/2 (* e (pow v 2))))> |
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))> |
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt (* e (cos v))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow v 2)))> |
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))> |
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | v | @ | -inf | (+ 1 (* e (cos v))) |
| 2.0ms | v | @ | 0 | (/ (* e (sin v)) (+ 1 (* e (cos v)))) |
| 1.0ms | v | @ | -inf | (/ (* e (sin v)) (+ 1 (* e (cos v)))) |
| 1.0ms | v | @ | inf | (/ (* e (sin v)) (+ 1 (* e (cos v)))) |
| 1.0ms | e | @ | 0 | (* e (sin v)) |
| 1× | batch-egg-rewrite |
| 5 798× | lower-fma.f64 |
| 5 798× | lower-fma.f32 |
| 4 350× | lower-/.f32 |
| 4 348× | lower-/.f64 |
| 3 988× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 0 | 15 | 29 |
| 1 | 42 | 29 |
| 2 | 241 | 29 |
| 3 | 2097 | 29 |
| 0 | 8370 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(*.f64 e (sin.f64 v)) |
(sin.f64 v) |
(*.f64 e (cos.f64 v)) |
(cos.f64 v) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 e (cos.f64 v))))) |
(+.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))) |
(+.f64 (neg.f64 (neg.f64 (*.f64 e (cos.f64 v)))) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 e (cos.f64 v))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (*.f64 e (cos.f64 v))) #s(literal -1 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (neg.f64 (*.f64 e (cos.f64 v))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))) |
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(*.f64 (/.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))) (sin.f64 v)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (sin.f64 v)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 e)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 e (sin.f64 v)))) |
(neg.f64 (neg.f64 (*.f64 e (sin.f64 v)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (*.f64 e (sin.f64 v))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 e (sin.f64 v))))))) |
(*.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) |
(*.f64 e (sin.f64 v)) |
(*.f64 e (neg.f64 (neg.f64 (sin.f64 v)))) |
(*.f64 e (*.f64 (sin.f64 v) #s(literal 1 binary64))) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) (neg.f64 (neg.f64 e))) |
(*.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 e (sin.f64 v)))) |
(*.f64 (neg.f64 (sin.f64 v)) (neg.f64 e)) |
(*.f64 (neg.f64 e) (neg.f64 (sin.f64 v))) |
(*.f64 (neg.f64 (neg.f64 (sin.f64 v))) e) |
(*.f64 (neg.f64 (neg.f64 e)) (sin.f64 v)) |
(sin.f64 v) |
(exp.f64 (log.f64 (*.f64 e (cos.f64 v)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 e (cos.f64 v))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) |
(*.f64 e (cos.f64 v)) |
(*.f64 (cos.f64 v) e) |
(*.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 e #s(literal 1 binary64)) (pow.f64 (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 v) #s(literal 1 binary64)) (pow.f64 e #s(literal 1 binary64))) |
(*.f64 (exp.f64 (log.f64 (cos.f64 v))) (exp.f64 (log.f64 e))) |
(*.f64 (exp.f64 (log.f64 e)) (exp.f64 (log.f64 (cos.f64 v)))) |
(cos.f64 v) |
(*.f64 #s(literal 1 binary64) (cos.f64 v)) |
(*.f64 (cos.f64 v) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 14 120× | lower-fma.f64 |
| 14 120× | lower-fma.f32 |
| 5 646× | lower-*.f64 |
| 5 646× | lower-*.f32 |
| 3 948× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 195 | 1209 |
| 1 | 584 | 1194 |
| 2 | 1652 | 1162 |
| 3 | 4907 | 1089 |
| 0 | 8039 | 1013 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(* e (cos v)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(+ 1 e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e v) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
e |
(+ e (* -1/2 (* e (pow v 2)))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
(* e (cos v)) |
1 |
(+ 1 (* -1/2 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* e (cos v))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(+ 1 (* e (cos v))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(+ 1 (* e (cos v))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (+ (cos v) (/ 1 e))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(* e (+ (cos v) (/ 1 e))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(* e (+ (cos v) (/ 1 e))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(+ 1 e) |
(+.f64 #s(literal 1 binary64) e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(fma.f64 e (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e (*.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))) #s(literal 1 binary64))) |
(+ 1 (* e (cos v))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(+ 1 (* e (cos v))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(+ 1 (* e (cos v))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(+ 1 (* e (cos v))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(+ 1 (* e (cos v))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(+ 1 (* e (cos v))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(+ 1 (* e (cos v))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(+ 1 (* e (cos v))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(*.f64 e (fma.f64 e (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(*.f64 e (fma.f64 e (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 e (neg.f64 e)) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) (sin.f64 v))) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(fma.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) |
(/ (* e v) (+ 1 e)) |
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 e (*.f64 e #s(literal -1/24 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 e (*.f64 e #s(literal -1/24 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) #s(literal -1/5040 binary64)) (neg.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 #s(literal 1 binary64) e)))))) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 e (*.f64 e #s(literal -1/24 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e v) |
(*.f64 e v) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) e)) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 e #s(literal -1/6 binary64))) e)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
(fma.f64 (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(sin v) |
(sin.f64 v) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
e |
(+ e (* -1/2 (* e (pow v 2)))) |
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/2 binary64))) e) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) |
(fma.f64 (*.f64 v v) (*.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) e) |
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) |
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e (*.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))) e) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
(* e (cos v)) |
(*.f64 e (cos.f64 v)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow v 2))) |
(fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
Compiled 13 512 to 1 267 computations (90.6% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 454 | 11 | 465 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 455 | 11 | 466 |
| Status | Accuracy | Program |
|---|---|---|
| 74.2% | (pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 24.5% | (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (*.f64 e (sin.f64 v))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 e (sin.f64 v))))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) | |
| ▶ | 99.8% | (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| 99.2% | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e)) | |
| ▶ | 55.1% | (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)) |
| 99.6% | (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) | |
| ▶ | 98.8% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) |
| 99.7% | (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) | |
| ▶ | 99.3% | (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)) |
| 54.8% | (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) | |
| ▶ | 98.1% | (*.f64 e (sin.f64 v)) |
Compiled 340 to 210 computations (38.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 v) |
| ✓ | cost-diff | 0 | (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) |
| ✓ | cost-diff | 0 | (cos.f64 v) |
| ✓ | cost-diff | 0 | (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e) |
| ✓ | cost-diff | 0 | (sin.f64 v) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)) |
| ✓ | cost-diff | 0 | (sin.f64 v) |
| ✓ | cost-diff | 0 | (*.f64 e (sin.f64 v)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) e) |
| ✓ | cost-diff | 0 | (*.f64 e v) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)) |
| ✓ | cost-diff | 0 | (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sin.f64 v) |
| ✓ | cost-diff | 0 | (*.f64 e (sin.f64 v)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| 12 712× | lower-fma.f32 |
| 12 706× | lower-fma.f64 |
| 2 800× | lower-/.f32 |
| 2 792× | lower-/.f64 |
| 2 664× | lower-*.f32 |
Useful iterations: 9 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 119 |
| 0 | 36 | 117 |
| 1 | 69 | 117 |
| 2 | 119 | 117 |
| 3 | 259 | 117 |
| 4 | 516 | 117 |
| 5 | 687 | 117 |
| 6 | 902 | 117 |
| 7 | 1216 | 117 |
| 8 | 1612 | 117 |
| 9 | 2681 | 114 |
| 10 | 3970 | 114 |
| 11 | 4733 | 114 |
| 12 | 5096 | 114 |
| 13 | 5287 | 114 |
| 14 | 5341 | 114 |
| 15 | 5361 | 114 |
| 16 | 6008 | 114 |
| 17 | 6737 | 114 |
| 18 | 7172 | 114 |
| 19 | 7297 | 114 |
| 20 | 7331 | 114 |
| 21 | 7349 | 114 |
| 22 | 7369 | 114 |
| 23 | 7521 | 114 |
| 24 | 7525 | 114 |
| 25 | 7525 | 114 |
| 0 | 8887 | 114 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(*.f64 e (sin.f64 v)) |
e |
(sin.f64 v) |
v |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(cos.f64 v) |
#s(literal 1 binary64) |
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)) |
(*.f64 e v) |
e |
v |
(+.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
(*.f64 e (sin.f64 v)) |
e |
(sin.f64 v) |
v |
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)) |
(sin.f64 v) |
v |
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e) |
(cos.f64 v) |
(*.f64 e (neg.f64 e)) |
e |
(neg.f64 e) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
e |
(cos.f64 v) |
v |
(*.f64 e (sin.f64 v)) |
(sin.f64 v) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 e (sin.f64 v)) |
e |
(sin.f64 v) |
v |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(cos.f64 v) |
#s(literal 1 binary64) |
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)) |
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64)))) |
(*.f64 e v) |
e |
v |
(+.f64 #s(literal 1 binary64) e) |
(+.f64 e #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 e (sin.f64 v)) |
e |
(sin.f64 v) |
v |
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)) |
(sin.f64 v) |
v |
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e) |
(cos.f64 v) |
(*.f64 e (neg.f64 e)) |
e |
(neg.f64 e) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
e |
(cos.f64 v) |
v |
(*.f64 e (sin.f64 v)) |
(sin.f64 v) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 v) |
| ✓ | accuracy | 99.8% | (*.f64 e (sin.f64 v)) |
| ✓ | accuracy | 99.7% | (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) |
| ✓ | accuracy | 98.8% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) |
| ✓ | accuracy | 100.0% | (sin.f64 v) |
| ✓ | accuracy | 100.0% | (neg.f64 e) |
| ✓ | accuracy | 100.0% | (cos.f64 v) |
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)) |
| ✓ | accuracy | 100.0% | (sin.f64 v) |
| ✓ | accuracy | 99.8% | (*.f64 e (sin.f64 v)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) e) |
| ✓ | accuracy | 100.0% | (*.f64 e v) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)) |
| ✓ | accuracy | 100.0% | (sin.f64 v) |
| ✓ | accuracy | 100.0% | (cos.f64 v) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 e (sin.f64 v)) |
| 49.0ms | 256× | 0 | valid |
Compiled 128 to 23 computations (82% saved)
ival-mult: 10.0ms (29.4% of total)ival-div: 6.0ms (17.7% of total)ival-sin: 6.0ms (17.7% of total)ival-cos: 5.0ms (14.7% of total)ival-add: 4.0ms (11.8% of total)ival-neg: 2.0ms (5.9% 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 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))> |
#<alt (*.f64 e (sin.f64 v))> |
#<alt (sin.f64 v)> |
#<alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64))> |
#<alt (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))> |
#<alt (*.f64 e v)> |
#<alt (+.f64 #s(literal 1 binary64) e)> |
#<alt (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))> |
#<alt (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)> |
#<alt (cos.f64 v)> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))> |
#<alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))> |
#<alt (fma.f64 e (cos.f64 v) #s(literal 1 binary64))> |
#<alt (neg.f64 e)> |
| Outputs |
|---|
#<alt (* e (sin v))> |
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))> |
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))> |
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))> |
#<alt (/ (sin v) (cos v))> |
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))> |
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))> |
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))> |
#<alt (/ (sin v) (cos v))> |
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))> |
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))> |
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e v)> |
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))> |
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))> |
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt (* e (sin v))> |
#<alt v> |
#<alt (* v (+ 1 (* -1/6 (pow v 2))))> |
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))> |
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (+ 1 e)> |
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))> |
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))> |
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt 1> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (* e (cos v))> |
#<alt (* e (+ (cos v) (/ 1 e)))> |
#<alt (* e (+ (cos v) (/ 1 e)))> |
#<alt (* e (+ (cos v) (/ 1 e)))> |
#<alt (* e (cos v))> |
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))> |
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))> |
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))> |
#<alt (* e v)> |
#<alt (* e (+ v (* -1 (* e v))))> |
#<alt (* e (+ v (* e (- (* e v) v))))> |
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))> |
#<alt v> |
#<alt (+ v (* -1 (/ v e)))> |
#<alt (- (+ v (/ v (pow e 2))) (/ v e))> |
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))> |
#<alt v> |
#<alt (+ v (* -1 (/ v e)))> |
#<alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))> |
#<alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt 1> |
#<alt (+ 1 e)> |
#<alt (+ 1 e)> |
#<alt (+ 1 e)> |
#<alt e> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt e> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* v (+ e (* -1 (pow e 2))))> |
#<alt (* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (* 1/2 (pow e 2)))))))> |
#<alt (* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (* 1/120 (+ e (* -1 (pow e 2)))))))))))))> |
#<alt (* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (+ (* 1/120 (+ e (* -1 (pow e 2)))) (* (pow v 2) (+ (* -1/5040 (+ e (* -1 (pow e 2)))) (+ (* 1/720 (pow e 2)) (+ (* 1/240 (pow e 2)) (* 1/144 (pow e 2))))))))))))))))> |
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))> |
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))> |
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))> |
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))> |
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))> |
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))> |
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))> |
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))> |
#<alt (* e (sin v))> |
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))> |
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))> |
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))> |
#<alt (* -1 (* (pow e 2) (* (cos v) (sin v))))> |
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))> |
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))> |
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))> |
#<alt (* -1 (* (pow e 2) (* (cos v) (sin v))))> |
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))> |
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))> |
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))> |
#<alt (+ e (* -1 (pow e 2)))> |
#<alt (+ e (+ (* -1 (pow e 2)) (* 1/2 (* (pow e 2) (pow v 2)))))> |
#<alt (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/24 (* (pow e 2) (pow v 2))) (* 1/2 (pow e 2))))))> |
#<alt (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/24 (pow e 2)) (* 1/720 (* (pow e 2) (pow v 2)))))))))> |
#<alt (+ e (* -1 (* (pow e 2) (cos v))))> |
#<alt (+ e (* -1 (* (pow e 2) (cos v))))> |
#<alt (+ e (* -1 (* (pow e 2) (cos v))))> |
#<alt (+ e (* -1 (* (pow e 2) (cos v))))> |
#<alt (+ e (* -1 (* (pow e 2) (cos v))))> |
#<alt (+ e (* -1 (* (pow e 2) (cos v))))> |
#<alt (+ e (* -1 (* (pow e 2) (cos v))))> |
#<alt (+ e (* -1 (* (pow e 2) (cos v))))> |
#<alt e> |
#<alt (* e (+ 1 (* -1 (* e (cos v)))))> |
#<alt (* e (+ 1 (* -1 (* e (cos v)))))> |
#<alt (* e (+ 1 (* -1 (* e (cos v)))))> |
#<alt (* -1 (* (pow e 2) (cos v)))> |
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))> |
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))> |
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))> |
#<alt (* -1 (* (pow e 2) (cos v)))> |
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))> |
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))> |
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow v 2)))> |
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))> |
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (* e (sin v))> |
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))> |
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))> |
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))> |
#<alt (/ (sin v) (cos v))> |
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))> |
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))> |
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))> |
#<alt (/ (sin v) (cos v))> |
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))> |
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))> |
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ 1 (* e (sin v)))> |
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)> |
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)> |
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)> |
#<alt (/ (cos v) (sin v))> |
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))> |
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))> |
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))> |
#<alt (/ (cos v) (sin v))> |
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))> |
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))> |
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))> |
#<alt (/ (+ 1 e) (* e v))> |
#<alt (/ (+ 1 (+ (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)> |
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)> |
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)> |
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))> |
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))> |
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))> |
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))> |
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))> |
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))> |
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))> |
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))> |
#<alt 1> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (* e (cos v))> |
#<alt (* e (+ (cos v) (/ 1 e)))> |
#<alt (* e (+ (cos v) (/ 1 e)))> |
#<alt (* e (+ (cos v) (/ 1 e)))> |
#<alt (* e (cos v))> |
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))> |
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))> |
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))> |
#<alt (+ 1 e)> |
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))> |
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))> |
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (* -1 e)> |
#<alt (* -1 e)> |
#<alt (* -1 e)> |
#<alt (* -1 e)> |
#<alt (* -1 e)> |
#<alt (* -1 e)> |
#<alt (* -1 e)> |
#<alt (* -1 e)> |
#<alt (* -1 e)> |
#<alt (* -1 e)> |
#<alt (* -1 e)> |
#<alt (* -1 e)> |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | e | @ | 0 | (/ (+ (* e (cos v)) 1) (* e (sin v))) |
| 1.0ms | e | @ | 0 | (/ (* e (sin v)) (+ (* (cos v) e) 1)) |
| 1.0ms | v | @ | 0 | (* (sin v) (+ (* (cos v) (* e (neg e))) e)) |
| 1.0ms | v | @ | inf | (* (sin v) (+ (* (cos v) (* e (neg e))) e)) |
| 1.0ms | v | @ | -inf | (* (sin v) (+ (* (cos v) (* e (neg e))) e)) |
| 1× | batch-egg-rewrite |
| 6 802× | lower-fma.f32 |
| 6 796× | lower-fma.f64 |
| 5 162× | lower-*.f32 |
| 5 154× | lower-*.f64 |
| 3 738× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 84 |
| 0 | 36 | 82 |
| 1 | 143 | 82 |
| 2 | 773 | 82 |
| 3 | 7544 | 82 |
| 0 | 8647 | 82 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(*.f64 e (sin.f64 v)) |
(sin.f64 v) |
(fma.f64 (cos.f64 v) e #s(literal 1 binary64)) |
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)) |
(*.f64 e v) |
(+.f64 #s(literal 1 binary64) e) |
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)) |
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e) |
(cos.f64 v) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(neg.f64 e) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))))) |
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (*.f64 e (cos.f64 v))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 e (cos.f64 v)) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))))) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 e (cos.f64 v)) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))))) |
(fma.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))))) |
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (*.f64 e (cos.f64 v)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) |
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) (neg.f64 e)))) |
(/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) |
(/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) |
(/.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))) |
(/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e)) |
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))) |
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))) |
(/.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) |
(/.f64 (*.f64 e (*.f64 (sin.f64 v) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (pow.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (-.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64))))) |
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (+.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (*.f64 e (cos.f64 v))))) |
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64)))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))) |
(/.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (pow.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (-.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (*.f64 e (cos.f64 v)))) |
(/.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))) #s(literal -1 binary64)) |
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 e (*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 e (/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 v) (/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))) |
(*.f64 (*.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 (*.f64 e (sin.f64 v)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) |
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 e (sin.f64 v))) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 e #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sin.f64 v)) (*.f64 e (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (sin.f64 v)) (/.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) |
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64))) |
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 (sin.f64 v) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (sin.f64 v) (neg.f64 e))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
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(/.f64 (*.f64 e e) (neg.f64 e)) |
(/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 e e)) |
(/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 e e) (*.f64 #s(literal 0 binary64) (neg.f64 e))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 e (*.f64 e e)))) (neg.f64 (*.f64 e e))) |
(*.f64 e #s(literal -1 binary64)) |
(*.f64 e (/.f64 (neg.f64 e) e)) |
(*.f64 #s(literal 1 binary64) (neg.f64 e)) |
(*.f64 (neg.f64 e) #s(literal 1 binary64)) |
(*.f64 (neg.f64 e) (/.f64 e e)) |
(*.f64 (neg.f64 (*.f64 e e)) (/.f64 #s(literal 1 binary64) e)) |
(*.f64 #s(literal -1 binary64) e) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 e e) e)) |
(*.f64 (neg.f64 (*.f64 e (*.f64 e e))) (/.f64 #s(literal 1 binary64) (*.f64 e e))) |
| 1× | egg-herbie |
| 14 218× | lower-fma.f64 |
| 14 218× | lower-fma.f32 |
| 6 624× | lower-*.f64 |
| 6 624× | lower-*.f32 |
| 5 728× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 350 | 3281 |
| 1 | 1114 | 3148 |
| 2 | 3384 | 3046 |
| 0 | 8663 | 2879 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e v) |
(* v (+ e (* -1/6 (* e (pow v 2))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) |
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
(* e (sin v)) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(+ 1 e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
1 |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(* e (cos v)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* e v) |
(* e (+ v (* -1 (* e v)))) |
(* e (+ v (* e (- (* e v) v)))) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
v |
(+ v (* -1 (/ v e))) |
(- (+ v (/ v (pow e 2))) (/ v e)) |
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) |
v |
(+ v (* -1 (/ v e))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
1 |
(+ 1 e) |
(+ 1 e) |
(+ 1 e) |
e |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
e |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(* v (+ e (* -1 (pow e 2)))) |
(* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (* 1/2 (pow e 2))))))) |
(* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (* 1/120 (+ e (* -1 (pow e 2))))))))))))) |
(* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (+ (* 1/120 (+ e (* -1 (pow e 2)))) (* (pow v 2) (+ (* -1/5040 (+ e (* -1 (pow e 2)))) (+ (* 1/720 (pow e 2)) (+ (* 1/240 (pow e 2)) (* 1/144 (pow e 2)))))))))))))))) |
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v))))) |
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v))))) |
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v))))) |
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v))))) |
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v))))) |
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v))))) |
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v))))) |
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v))))) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* -1 (* (pow e 2) (* (cos v) (sin v)))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* -1 (* (pow e 2) (* (cos v) (sin v)))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) |
(+ e (* -1 (pow e 2))) |
(+ e (+ (* -1 (pow e 2)) (* 1/2 (* (pow e 2) (pow v 2))))) |
(+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/24 (* (pow e 2) (pow v 2))) (* 1/2 (pow e 2)))))) |
(+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/24 (pow e 2)) (* 1/720 (* (pow e 2) (pow v 2))))))))) |
(+ e (* -1 (* (pow e 2) (cos v)))) |
(+ e (* -1 (* (pow e 2) (cos v)))) |
(+ e (* -1 (* (pow e 2) (cos v)))) |
(+ e (* -1 (* (pow e 2) (cos v)))) |
(+ e (* -1 (* (pow e 2) (cos v)))) |
(+ e (* -1 (* (pow e 2) (cos v)))) |
(+ e (* -1 (* (pow e 2) (cos v)))) |
(+ e (* -1 (* (pow e 2) (cos v)))) |
e |
(* e (+ 1 (* -1 (* e (cos v))))) |
(* e (+ 1 (* -1 (* e (cos v))))) |
(* e (+ 1 (* -1 (* e (cos v))))) |
(* -1 (* (pow e 2) (cos v))) |
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e))) |
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e))) |
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e))) |
(* -1 (* (pow e 2) (cos v))) |
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e))) |
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e))) |
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e))) |
1 |
(+ 1 (* -1/2 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ 1 (* e (sin v))) |
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e) |
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e) |
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e) |
(/ (cos v) (sin v)) |
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))) |
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))) |
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))) |
(/ (cos v) (sin v)) |
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))) |
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))) |
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 (+ (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v) |
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v) |
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v) |
(/ (+ 1 (* e (cos v))) (* e (sin v))) |
(/ (+ 1 (* e (cos v))) (* e (sin v))) |
(/ (+ 1 (* e (cos v))) (* e (sin v))) |
(/ (+ 1 (* e (cos v))) (* e (sin v))) |
(/ (+ 1 (* e (cos v))) (* e (sin v))) |
(/ (+ 1 (* e (cos v))) (* e (sin v))) |
(/ (+ 1 (* e (cos v))) (* e (sin v))) |
(/ (+ 1 (* e (cos v))) (* e (sin v))) |
1 |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(* e (cos v)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(+ 1 e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
(* -1 e) |
| Outputs |
|---|
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(*.f64 e (fma.f64 e (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (sin.f64 v))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(*.f64 e (fma.f64 e (fma.f64 e (*.f64 (neg.f64 (sin.f64 v)) (*.f64 (cos.f64 v) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) (neg.f64 (*.f64 (sin.f64 v) (cos.f64 v)))) (sin.f64 v))) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(+.f64 (-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e)) e)) |
(/ (* e v) (+ 1 e)) |
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64))) |
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(+.f64 e #s(literal 1 binary64)) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) e)) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(+.f64 e (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 e #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(+ 1 (* e (cos v))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(+ 1 (* e (cos v))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(+ 1 (* e (cos v))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(+ 1 (* e (cos v))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(+ 1 (* e (cos v))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(+ 1 (* e (cos v))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(+ 1 (* e (cos v))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(+ 1 (* e (cos v))) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(* -1 e) |
(neg.f64 e) |
(* -1 e) |
(neg.f64 e) |
(* -1 e) |
(neg.f64 e) |
(* -1 e) |
(neg.f64 e) |
(* -1 e) |
(neg.f64 e) |
(* -1 e) |
(neg.f64 e) |
(* -1 e) |
(neg.f64 e) |
(* -1 e) |
(neg.f64 e) |
(* -1 e) |
(neg.f64 e) |
(* -1 e) |
(neg.f64 e) |
(* -1 e) |
(neg.f64 e) |
(* -1 e) |
(neg.f64 e) |
Compiled 31 985 to 2 759 computations (91.4% saved)
27 alts after pruning (24 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 493 | 22 | 1 515 |
| Fresh | 4 | 2 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 499 | 27 | 1 526 |
| Status | Accuracy | Program |
|---|---|---|
| 74.2% | (pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| ✓ | 99.8% | (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| 99.2% | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64))) | |
| ✓ | 55.1% | (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)) |
| ▶ | 99.6% | (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) |
| 99.6% | (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) | |
| ▶ | 55.0% | (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) |
| 55.5% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) | |
| 55.5% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 v (*.f64 v (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) | |
| 98.6% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v))) | |
| 54.4% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))) | |
| 97.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))) | |
| ▶ | 98.5% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e))) |
| 2.6% | (-.f64 v (/.f64 v e)) | |
| 74.8% | (*.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64)) (neg.f64 (*.f64 e e))) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e e) e))) (sin.f64 v))) | |
| 66.1% | (*.f64 (*.f64 (sin.f64 v) (*.f64 (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64)) (neg.f64 (*.f64 e e)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e e) e)))) | |
| 74.9% | (*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v)))) | |
| ▶ | 98.8% | (*.f64 (sin.f64 v) (-.f64 e (*.f64 e e))) |
| 99.3% | (*.f64 (sin.f64 v) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)) | |
| 53.7% | (*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e)) | |
| 53.6% | (*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e)) | |
| 54.6% | (*.f64 v (-.f64 e (*.f64 e e))) | |
| 53.6% | (*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) v) v)) | |
| 53.7% | (*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)) | |
| 54.8% | (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v)) | |
| ✓ | 98.1% | (*.f64 e (sin.f64 v)) |
| ▶ | 54.0% | (*.f64 e v) |
Compiled 779 to 472 computations (39.4% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
| ✓ | cost-diff | 704 | (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e))) |
| ✓ | cost-diff | 0 | (*.f64 e e) |
| ✓ | cost-diff | 0 | (-.f64 e (*.f64 e e)) |
| ✓ | cost-diff | 0 | (sin.f64 v) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 v) (-.f64 e (*.f64 e e))) |
| ✓ | cost-diff | 0 | (+.f64 e #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 e #s(literal 1 binary64)) v) |
| ✓ | cost-diff | 384 | (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) |
| ✓ | cost-diff | 0 | (*.f64 e v) |
| ✓ | cost-diff | 0 | (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sin.f64 v) |
| ✓ | cost-diff | 192 | (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) |
| ✓ | cost-diff | 192 | (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) |
| 3 990× | lower-fma.f32 |
| 3 988× | lower-fma.f64 |
| 3 132× | lower-*.f32 |
| 3 124× | lower-*.f64 |
| 2 092× | lower-/.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 121 |
| 0 | 36 | 117 |
| 1 | 59 | 115 |
| 2 | 97 | 115 |
| 3 | 180 | 115 |
| 4 | 399 | 111 |
| 5 | 856 | 111 |
| 6 | 1463 | 111 |
| 7 | 2650 | 111 |
| 8 | 5459 | 111 |
| 0 | 8153 | 111 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) |
(sin.f64 v) |
v |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
e |
(cos.f64 v) |
#s(literal 1 binary64) |
(*.f64 e v) |
e |
v |
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) |
e |
(/.f64 (+.f64 e #s(literal 1 binary64)) v) |
(+.f64 e #s(literal 1 binary64)) |
#s(literal 1 binary64) |
v |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e))) |
(sin.f64 v) |
v |
(-.f64 e (*.f64 e e)) |
e |
(*.f64 e e) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
e |
(cos.f64 v) |
v |
(sin.f64 v) |
(/.f64 #s(literal 1 binary64) e) |
| Outputs |
|---|
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(sin.f64 v) |
v |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) |
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
e |
(cos.f64 v) |
#s(literal 1 binary64) |
(*.f64 e v) |
(*.f64 v e) |
e |
v |
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) |
(/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))) |
e |
(/.f64 (+.f64 e #s(literal 1 binary64)) v) |
(+.f64 e #s(literal 1 binary64)) |
#s(literal 1 binary64) |
v |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e))) |
(sin.f64 v) |
v |
(-.f64 e (*.f64 e e)) |
e |
(*.f64 e e) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
e |
(cos.f64 v) |
v |
(sin.f64 v) |
(/.f64 #s(literal 1 binary64) e) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 v) |
| ✓ | accuracy | 99.8% | (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)) |
| ✓ | accuracy | 98.8% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e))) |
| ✓ | accuracy | 100.0% | (-.f64 e (*.f64 e e)) |
| ✓ | accuracy | 100.0% | (*.f64 e e) |
| ✓ | accuracy | 100.0% | (sin.f64 v) |
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 v) (-.f64 e (*.f64 e e))) |
| ✓ | accuracy | 100.0% | (+.f64 e #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 e #s(literal 1 binary64)) v) |
| ✓ | accuracy | 99.6% | (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) |
| ✓ | accuracy | 100.0% | (*.f64 e v) |
| ✓ | accuracy | 100.0% | (sin.f64 v) |
| ✓ | accuracy | 100.0% | (cos.f64 v) |
| ✓ | accuracy | 100.0% | (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) |
| ✓ | accuracy | 99.6% | (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) |
| 50.0ms | 256× | 0 | valid |
Compiled 130 to 22 computations (83.1% saved)
ival-div: 13.0ms (36.2% of total)ival-mult: 9.0ms (25.1% of total)ival-sin: 6.0ms (16.7% of total)ival-cos: 5.0ms (13.9% of total)ival-add: 2.0ms (5.6% of total)ival-sub: 1.0ms (2.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))> |
#<alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)> |
#<alt (sin.f64 v)> |
#<alt (fma.f64 e (cos.f64 v) #s(literal 1 binary64))> |
#<alt (*.f64 e v)> |
#<alt (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))> |
#<alt (/.f64 (+.f64 e #s(literal 1 binary64)) v)> |
#<alt (+.f64 e #s(literal 1 binary64))> |
#<alt (*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))> |
#<alt (-.f64 e (*.f64 e e))> |
#<alt (*.f64 e e)> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))> |
#<alt (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e))> |
#<alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))> |
#<alt (cos.f64 v)> |
| Outputs |
|---|
#<alt (/ (* e v) (+ 1 e))> |
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))> |
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))> |
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (* e (sin v))> |
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))> |
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))> |
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))> |
#<alt (/ (sin v) (cos v))> |
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))> |
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))> |
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))> |
#<alt (/ (sin v) (cos v))> |
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))> |
#<alt (/ 1 e)> |
#<alt (/ (+ 1 (* e (cos v))) e)> |
#<alt (/ (+ 1 (* e (cos v))) e)> |
#<alt (/ (+ 1 (* e (cos v))) e)> |
#<alt (cos v)> |
#<alt (+ (cos v) (/ 1 e))> |
#<alt (+ (cos v) (/ 1 e))> |
#<alt (+ (cos v) (/ 1 e))> |
#<alt (cos v)> |
#<alt (+ (cos v) (/ 1 e))> |
#<alt (+ (cos v) (/ 1 e))> |
#<alt (+ (cos v) (/ 1 e))> |
#<alt (/ (+ 1 e) e)> |
#<alt (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))> |
#<alt (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))> |
#<alt (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))> |
#<alt (/ (+ 1 (* e (cos v))) e)> |
#<alt (/ (+ 1 (* e (cos v))) e)> |
#<alt (/ (+ 1 (* e (cos v))) e)> |
#<alt (/ (+ 1 (* e (cos v))) e)> |
#<alt (/ (+ 1 (* e (cos v))) e)> |
#<alt (/ (+ 1 (* e (cos v))) e)> |
#<alt (/ (+ 1 (* e (cos v))) e)> |
#<alt (/ (+ 1 (* e (cos v))) e)> |
#<alt v> |
#<alt (* v (+ 1 (* -1/6 (pow v 2))))> |
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))> |
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt 1> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (* e (cos v))> |
#<alt (* e (+ (cos v) (/ 1 e)))> |
#<alt (* e (+ (cos v) (/ 1 e)))> |
#<alt (* e (+ (cos v) (/ 1 e)))> |
#<alt (* e (cos v))> |
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))> |
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))> |
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))> |
#<alt (+ 1 e)> |
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))> |
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))> |
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (+ 1 (* e (cos v)))> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e (+ v (* -1 (* e v))))> |
#<alt (* e (+ v (* e (- (* e v) v))))> |
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))> |
#<alt v> |
#<alt (+ v (* -1 (/ v e)))> |
#<alt (- (+ v (/ v (pow e 2))) (/ v e))> |
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))> |
#<alt v> |
#<alt (+ v (* -1 (/ v e)))> |
#<alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))> |
#<alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (/ 1 v)> |
#<alt (+ (/ 1 v) (/ e v))> |
#<alt (+ (/ 1 v) (/ e v))> |
#<alt (+ (/ 1 v) (/ e v))> |
#<alt (/ e v)> |
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))> |
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))> |
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))> |
#<alt (/ e v)> |
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))> |
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))> |
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))> |
#<alt (/ (+ 1 e) v)> |
#<alt (/ (+ 1 e) v)> |
#<alt (/ (+ 1 e) v)> |
#<alt (/ (+ 1 e) v)> |
#<alt (/ (+ 1 e) v)> |
#<alt (/ (+ 1 e) v)> |
#<alt (/ (+ 1 e) v)> |
#<alt (/ (+ 1 e) v)> |
#<alt (/ (+ 1 e) v)> |
#<alt (/ (+ 1 e) v)> |
#<alt (/ (+ 1 e) v)> |
#<alt (/ (+ 1 e) v)> |
#<alt 1> |
#<alt (+ 1 e)> |
#<alt (+ 1 e)> |
#<alt (+ 1 e)> |
#<alt e> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt e> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* e (+ 1 (/ 1 e)))> |
#<alt (* v (- e (pow e 2)))> |
#<alt (* v (- (+ e (* -1/6 (* (pow v 2) (- e (pow e 2))))) (pow e 2)))> |
#<alt (* v (- (+ e (* (pow v 2) (+ (* -1/6 (- e (pow e 2))) (* 1/120 (* (pow v 2) (- e (pow e 2))))))) (pow e 2)))> |
#<alt (* v (- (+ e (* (pow v 2) (+ (* -1/6 (- e (pow e 2))) (* (pow v 2) (+ (* -1/5040 (* (pow v 2) (- e (pow e 2)))) (* 1/120 (- e (pow e 2)))))))) (pow e 2)))> |
#<alt (* (sin v) (- e (pow e 2)))> |
#<alt (* (sin v) (- e (pow e 2)))> |
#<alt (* (sin v) (- e (pow e 2)))> |
#<alt (* (sin v) (- e (pow e 2)))> |
#<alt (* (sin v) (- e (pow e 2)))> |
#<alt (* (sin v) (- e (pow e 2)))> |
#<alt (* (sin v) (- e (pow e 2)))> |
#<alt (* (sin v) (- e (pow e 2)))> |
#<alt (* e (sin v))> |
#<alt (* e (+ (sin v) (* -1 (* e (sin v)))))> |
#<alt (* e (+ (sin v) (* -1 (* e (sin v)))))> |
#<alt (* e (+ (sin v) (* -1 (* e (sin v)))))> |
#<alt (* -1 (* (pow e 2) (sin v)))> |
#<alt (* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))> |
#<alt (* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))> |
#<alt (* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))> |
#<alt (* -1 (* (pow e 2) (sin v)))> |
#<alt (* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))> |
#<alt (* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))> |
#<alt (* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))> |
#<alt e> |
#<alt (* e (+ 1 (* -1 e)))> |
#<alt (* e (+ 1 (* -1 e)))> |
#<alt (* e (+ 1 (* -1 e)))> |
#<alt (* -1 (pow e 2))> |
#<alt (* (pow e 2) (- (/ 1 e) 1))> |
#<alt (* (pow e 2) (- (/ 1 e) 1))> |
#<alt (* (pow e 2) (- (/ 1 e) 1))> |
#<alt (* -1 (pow e 2))> |
#<alt (* (pow e 2) (- (/ 1 e) 1))> |
#<alt (* (pow e 2) (- (/ 1 e) 1))> |
#<alt (* (pow e 2) (- (/ 1 e) 1))> |
#<alt (pow e 2)> |
#<alt (pow e 2)> |
#<alt (pow e 2)> |
#<alt (pow e 2)> |
#<alt (pow e 2)> |
#<alt (pow e 2)> |
#<alt (pow e 2)> |
#<alt (pow e 2)> |
#<alt (pow e 2)> |
#<alt (pow e 2)> |
#<alt (pow e 2)> |
#<alt (pow e 2)> |
#<alt (* e (sin v))> |
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))> |
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))> |
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))> |
#<alt (/ (sin v) (cos v))> |
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))> |
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))> |
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))> |
#<alt (/ (sin v) (cos v))> |
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))> |
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))> |
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ 1 (* e (sin v)))> |
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)> |
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)> |
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)> |
#<alt (/ (cos v) (sin v))> |
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))> |
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))> |
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))> |
#<alt (/ (cos v) (sin v))> |
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))> |
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))> |
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))> |
#<alt (/ (+ 1 e) (* e v))> |
#<alt (/ (+ 1 (+ (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)> |
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)> |
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)> |
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))> |
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))> |
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))> |
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))> |
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))> |
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))> |
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))> |
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))> |
#<alt (/ 1 (sin v))> |
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))> |
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))> |
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))> |
#<alt (/ (* e (cos v)) (sin v))> |
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))> |
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))> |
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))> |
#<alt (/ (* e (cos v)) (sin v))> |
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))> |
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))> |
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))> |
#<alt (/ (+ 1 e) v)> |
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)> |
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)> |
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)> |
#<alt (/ (+ 1 (* e (cos v))) (sin v))> |
#<alt (/ (+ 1 (* e (cos v))) (sin v))> |
#<alt (/ (+ 1 (* e (cos v))) (sin v))> |
#<alt (/ (+ 1 (* e (cos v))) (sin v))> |
#<alt (/ (+ 1 (* e (cos v))) (sin v))> |
#<alt (/ (+ 1 (* e (cos v))) (sin v))> |
#<alt (/ (+ 1 (* e (cos v))) (sin v))> |
#<alt (/ (+ 1 (* e (cos v))) (sin v))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow v 2)))> |
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))> |
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
#<alt (cos v)> |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | v | @ | -inf | (/ (+ e 1) v) |
| 1.0ms | v | @ | 0 | (/ (+ (* e (cos v)) 1) (sin v)) |
| 0.0ms | v | @ | -inf | (/ (+ (* e (cos v)) 1) (sin v)) |
| 0.0ms | v | @ | inf | (/ (+ (* e (cos v)) 1) (sin v)) |
| 0.0ms | v | @ | 0 | (* (sin v) (- e (* e e))) |
| 1× | batch-egg-rewrite |
| 5 042× | lower-*.f32 |
| 5 034× | lower-*.f64 |
| 4 958× | lower-fma.f32 |
| 4 956× | lower-fma.f64 |
| 4 924× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 94 |
| 0 | 36 | 88 |
| 1 | 137 | 88 |
| 2 | 899 | 88 |
| 0 | 8447 | 88 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) |
(sin.f64 v) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(*.f64 e v) |
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) |
(/.f64 (+.f64 e #s(literal 1 binary64)) v) |
(+.f64 e #s(literal 1 binary64)) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e))) |
(-.f64 e (*.f64 e e)) |
(*.f64 e e) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e))) |
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
(cos.f64 v) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 e))) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) |
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) |
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 e (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) |
(/.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 v) e)))) |
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/.f64 (neg.f64 e) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v)))) |
(/.f64 (neg.f64 (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 e))) |
(/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e)) |
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(/.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) |
(/.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) e)) |
(/.f64 (/.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 v))) |
(/.f64 (/.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) |
(/.f64 (/.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 v)) #s(literal 1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 e))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 e))) |
(/.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) e)) |
(/.f64 (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/.f64 (/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64))) |
(/.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
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(neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 v) e)))) |
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(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (sin.f64 v))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (sin.f64 v))) (neg.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (sin.f64 v))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) #s(literal -1 binary64)) (sin.f64 v)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (neg.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 v))) (neg.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 v))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 v))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 v))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
(*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v)))) |
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 v))) |
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (sin.f64 v)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) |
(*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)))) |
(*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 v))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (sin.f64 v)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (sin.f64 v)) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal 2 binary64)))) (+.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (*.f64 e (cos.f64 v)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (sin.f64 v)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64))) |
(cos.f64 v) |
(*.f64 (cos.f64 v) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 12 802× | lower-fma.f64 |
| 12 802× | lower-fma.f32 |
| 6 034× | lower-+.f64 |
| 6 034× | lower-+.f32 |
| 5 844× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 350 | 3332 |
| 1 | 1045 | 3250 |
| 2 | 2990 | 3188 |
| 0 | 8248 | 2988 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(/ 1 e) |
(/ (+ 1 (* e (cos v))) e) |
(/ (+ 1 (* e (cos v))) e) |
(/ (+ 1 (* e (cos v))) e) |
(cos v) |
(+ (cos v) (/ 1 e)) |
(+ (cos v) (/ 1 e)) |
(+ (cos v) (/ 1 e)) |
(cos v) |
(+ (cos v) (/ 1 e)) |
(+ (cos v) (/ 1 e)) |
(+ (cos v) (/ 1 e)) |
(/ (+ 1 e) e) |
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e))) |
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e))) |
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e))) |
(/ (+ 1 (* e (cos v))) e) |
(/ (+ 1 (* e (cos v))) e) |
(/ (+ 1 (* e (cos v))) e) |
(/ (+ 1 (* e (cos v))) e) |
(/ (+ 1 (* e (cos v))) e) |
(/ (+ 1 (* e (cos v))) e) |
(/ (+ 1 (* e (cos v))) e) |
(/ (+ 1 (* e (cos v))) e) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
1 |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(* e (cos v)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(+ 1 e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e (+ v (* -1 (* e v)))) |
(* e (+ v (* e (- (* e v) v)))) |
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))) |
v |
(+ v (* -1 (/ v e))) |
(- (+ v (/ v (pow e 2))) (/ v e)) |
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) |
v |
(+ v (* -1 (/ v e))) |
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) |
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ (* e v) (+ 1 e)) |
(/ 1 v) |
(+ (/ 1 v) (/ e v)) |
(+ (/ 1 v) (/ e v)) |
(+ (/ 1 v) (/ e v)) |
(/ e v) |
(* e (+ (/ 1 v) (/ 1 (* e v)))) |
(* e (+ (/ 1 v) (/ 1 (* e v)))) |
(* e (+ (/ 1 v) (/ 1 (* e v)))) |
(/ e v) |
(* e (+ (/ 1 v) (/ 1 (* e v)))) |
(* e (+ (/ 1 v) (/ 1 (* e v)))) |
(* e (+ (/ 1 v) (/ 1 (* e v)))) |
(/ (+ 1 e) v) |
(/ (+ 1 e) v) |
(/ (+ 1 e) v) |
(/ (+ 1 e) v) |
(/ (+ 1 e) v) |
(/ (+ 1 e) v) |
(/ (+ 1 e) v) |
(/ (+ 1 e) v) |
(/ (+ 1 e) v) |
(/ (+ 1 e) v) |
(/ (+ 1 e) v) |
(/ (+ 1 e) v) |
1 |
(+ 1 e) |
(+ 1 e) |
(+ 1 e) |
e |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
e |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(* e (+ 1 (/ 1 e))) |
(* v (- e (pow e 2))) |
(* v (- (+ e (* -1/6 (* (pow v 2) (- e (pow e 2))))) (pow e 2))) |
(* v (- (+ e (* (pow v 2) (+ (* -1/6 (- e (pow e 2))) (* 1/120 (* (pow v 2) (- e (pow e 2))))))) (pow e 2))) |
(* v (- (+ e (* (pow v 2) (+ (* -1/6 (- e (pow e 2))) (* (pow v 2) (+ (* -1/5040 (* (pow v 2) (- e (pow e 2)))) (* 1/120 (- e (pow e 2)))))))) (pow e 2))) |
(* (sin v) (- e (pow e 2))) |
(* (sin v) (- e (pow e 2))) |
(* (sin v) (- e (pow e 2))) |
(* (sin v) (- e (pow e 2))) |
(* (sin v) (- e (pow e 2))) |
(* (sin v) (- e (pow e 2))) |
(* (sin v) (- e (pow e 2))) |
(* (sin v) (- e (pow e 2))) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (sin v))))) |
(* e (+ (sin v) (* -1 (* e (sin v))))) |
(* e (+ (sin v) (* -1 (* e (sin v))))) |
(* -1 (* (pow e 2) (sin v))) |
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e))) |
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e))) |
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e))) |
(* -1 (* (pow e 2) (sin v))) |
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e))) |
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e))) |
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e))) |
e |
(* e (+ 1 (* -1 e))) |
(* e (+ 1 (* -1 e))) |
(* e (+ 1 (* -1 e))) |
(* -1 (pow e 2)) |
(* (pow e 2) (- (/ 1 e) 1)) |
(* (pow e 2) (- (/ 1 e) 1)) |
(* (pow e 2) (- (/ 1 e) 1)) |
(* -1 (pow e 2)) |
(* (pow e 2) (- (/ 1 e) 1)) |
(* (pow e 2) (- (/ 1 e) 1)) |
(* (pow e 2) (- (/ 1 e) 1)) |
(pow e 2) |
(pow e 2) |
(pow e 2) |
(pow e 2) |
(pow e 2) |
(pow e 2) |
(pow e 2) |
(pow e 2) |
(pow e 2) |
(pow e 2) |
(pow e 2) |
(pow e 2) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ 1 (* e (sin v))) |
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e) |
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e) |
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e) |
(/ (cos v) (sin v)) |
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))) |
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))) |
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))) |
(/ (cos v) (sin v)) |
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))) |
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))) |
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 (+ (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v) |
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v) |
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v) |
(/ (+ 1 (* e (cos v))) (* e (sin v))) |
(/ (+ 1 (* e (cos v))) (* e (sin v))) |
(/ (+ 1 (* e (cos v))) (* e (sin v))) |
(/ (+ 1 (* e (cos v))) (* e (sin v))) |
(/ (+ 1 (* e (cos v))) (* e (sin v))) |
(/ (+ 1 (* e (cos v))) (* e (sin v))) |
(/ (+ 1 (* e (cos v))) (* e (sin v))) |
(/ (+ 1 (* e (cos v))) (* e (sin v))) |
(/ 1 (sin v)) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(/ (* e (cos v)) (sin v)) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(/ (* e (cos v)) (sin v)) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(/ (+ 1 e) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
1 |
(+ 1 (* -1/2 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
| Outputs |
|---|
(/ (* e v) (+ 1 e)) |
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64)))) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64))))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 v (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v (fma.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 e #s(literal 1/120 binary64)) (+.f64 e #s(literal 1 binary64)))))) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))) (/.f64 e (+.f64 e #s(literal 1 binary64))))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/5040 binary64)) (fma.f64 e (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 e #s(literal 1/120 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal 1/24 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/720 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))) (fma.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 e #s(literal 1/120 binary64)) (+.f64 e #s(literal 1 binary64)))))) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))) (/.f64 e (+.f64 e #s(literal 1 binary64))))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(*.f64 e (fma.f64 e (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (sin.f64 v))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(*.f64 e (fma.f64 e (neg.f64 (*.f64 e (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))))) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (fma.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 e (*.f64 e e)) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (/.f64 (neg.f64 (sin.f64 v)) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e)) e)) |
(/ 1 e) |
(/.f64 #s(literal 1 binary64) e) |
(/ (+ 1 (* e (cos v))) e) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) |
(/ (+ 1 (* e (cos v))) e) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) |
(/ (+ 1 (* e (cos v))) e) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) |
(cos v) |
(cos.f64 v) |
(+ (cos v) (/ 1 e)) |
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) |
(+ (cos v) (/ 1 e)) |
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) |
(+ (cos v) (/ 1 e)) |
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) |
(cos v) |
(cos.f64 v) |
(+ (cos v) (/ 1 e)) |
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(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e)) e)) |
(/ (* e v) (+ 1 e)) |
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64)))) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64))))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 v (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v (fma.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 e #s(literal 1/120 binary64)) (+.f64 e #s(literal 1 binary64)))))) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))) (/.f64 e (+.f64 e #s(literal 1 binary64))))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/5040 binary64)) (fma.f64 e (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 e #s(literal 1/120 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal 1/24 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/720 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))) (fma.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 e #s(literal 1/120 binary64)) (+.f64 e #s(literal 1 binary64)))))) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))) (/.f64 e (+.f64 e #s(literal 1 binary64))))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/ 1 (* e (sin v))) |
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) |
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e) |
(/.f64 (fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) e) |
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e) |
(/.f64 (fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) e) |
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e) |
(/.f64 (fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) e) |
(/ (cos v) (sin v)) |
(/.f64 (cos.f64 v) (sin.f64 v)) |
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v))) |
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v))) |
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v))) |
(/ (cos v) (sin v)) |
(/.f64 (cos.f64 v) (sin.f64 v)) |
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v))) |
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v))) |
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v))) |
(/ (+ 1 e) (* e v)) |
(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)) |
(/ (+ 1 (+ (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) v) |
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v) |
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) e))) v) |
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v) |
(/.f64 (fma.f64 (*.f64 v v) (+.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (+.f64 #s(literal -1/360 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal 1/840 binary64))))) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v) |
(/ (+ 1 (* e (cos v))) (* e (sin v))) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) |
(/ (+ 1 (* e (cos v))) (* e (sin v))) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) |
(/ (+ 1 (* e (cos v))) (* e (sin v))) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) |
(/ (+ 1 (* e (cos v))) (* e (sin v))) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) |
(/ (+ 1 (* e (cos v))) (* e (sin v))) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) |
(/ (+ 1 (* e (cos v))) (* e (sin v))) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) |
(/ (+ 1 (* e (cos v))) (* e (sin v))) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) |
(/ (+ 1 (* e (cos v))) (* e (sin v))) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) |
(/ 1 (sin v)) |
(/.f64 #s(literal 1 binary64) (sin.f64 v)) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(/ (* e (cos v)) (sin v)) |
(/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v)) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(/ (* e (cos v)) (sin v)) |
(/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v)) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(/ (+ 1 e) v) |
(/.f64 (+.f64 e #s(literal 1 binary64)) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v) |
(/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) |
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) |
(/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 #s(literal 1/120 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/5040 binary64) #s(literal -1/5040 binary64))))) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64))))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64))) v) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow v 2))) |
(fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
(cos v) |
(cos.f64 v) |
Compiled 38 137 to 4 008 computations (89.5% saved)
31 alts after pruning (27 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 739 | 17 | 1 756 |
| Fresh | 9 | 10 | 19 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 752 | 31 | 1 783 |
| Status | Accuracy | Program |
|---|---|---|
| 65.7% | (/.f64 (*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (sin.f64 v)) (fma.f64 e e e)) | |
| ✓ | 99.8% | (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| ✓ | 55.1% | (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)) |
| 97.9% | (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)) | |
| ▶ | 53.8% | (/.f64 v (/.f64 #s(literal 1 binary64) e)) |
| ▶ | 99.6% | (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
| 53.9% | (/.f64 e (/.f64 #s(literal 1 binary64) v)) | |
| 55.5% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) | |
| 55.5% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 v (*.f64 v (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) | |
| 54.4% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))) | |
| 97.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))) | |
| 98.3% | (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 e #s(literal -1/2 binary64)) (*.f64 (pow.f64 e #s(literal -1/2 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))))) | |
| ▶ | 55.4% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e))) |
| 54.2% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e))) | |
| 96.9% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e))) | |
| 2.6% | (-.f64 v (/.f64 v e)) | |
| ▶ | 98.6% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (-.f64 e (*.f64 e e))) |
| 65.6% | (*.f64 (*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 e e e))) | |
| 74.3% | (*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e e e)) (sin.f64 v))) | |
| 36.0% | (*.f64 (sin.f64 v) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 e e #s(literal 1 binary64)) (*.f64 e e)) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (/.f64 #s(literal 1 binary64) (fma.f64 e e e))) (*.f64 (fma.f64 e e #s(literal 1 binary64)) (*.f64 e e)))) | |
| 53.7% | (*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e)) | |
| 53.6% | (*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e)) | |
| ▶ | 54.6% | (*.f64 v (-.f64 e (*.f64 e e))) |
| 54.4% | (*.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) (-.f64 e (*.f64 e e)))) | |
| 53.6% | (*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) v) v)) | |
| 54.8% | (*.f64 e (fma.f64 (*.f64 e v) (+.f64 e #s(literal -1 binary64)) v)) | |
| 53.7% | (*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)) | |
| 99.3% | (*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))) | |
| 98.8% | (*.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (sin.f64 v))) | |
| ✓ | 98.1% | (*.f64 e (sin.f64 v)) |
| ✓ | 54.0% | (*.f64 e v) |
Compiled 890 to 529 computations (40.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 v) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sin.f64 v)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (-.f64 e (*.f64 e e))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) |
| ✓ | cost-diff | 384 | (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 704 | (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e)) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) e) |
| ✓ | cost-diff | 1088 | (/.f64 v (/.f64 #s(literal 1 binary64) e)) |
| ✓ | cost-diff | 0 | (*.f64 e e) |
| ✓ | cost-diff | 0 | (-.f64 e (*.f64 e e)) |
| ✓ | cost-diff | 0 | (*.f64 v (-.f64 e (*.f64 e e))) |
| ✓ | cost-diff | 0 | (cos.f64 v) |
| ✓ | cost-diff | 0 | (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
| ✓ | cost-diff | 384 | (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
| 9 698× | lower-fma.f32 |
| 9 690× | lower-fma.f64 |
| 2 924× | lower-*.f32 |
| 2 914× | lower-*.f64 |
| 2 138× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 199 |
| 0 | 51 | 191 |
| 1 | 100 | 173 |
| 2 | 244 | 171 |
| 3 | 656 | 171 |
| 4 | 1738 | 171 |
| 5 | 4169 | 171 |
| 6 | 5053 | 171 |
| 7 | 5951 | 171 |
| 0 | 8340 | 165 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
e |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(cos.f64 v) |
v |
#s(literal 1 binary64) |
(sin.f64 v) |
(*.f64 v (-.f64 e (*.f64 e e))) |
v |
(-.f64 e (*.f64 e e)) |
e |
(*.f64 e e) |
(/.f64 v (/.f64 #s(literal 1 binary64) e)) |
v |
(/.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
e |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e)) |
(/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) |
(+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
e |
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(*.f64 v v) |
v |
(fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) |
#s(literal -1/2 binary64) |
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1 binary64) e) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (-.f64 e (*.f64 e e))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (sin.f64 v)) |
(sin.f64 v) |
v |
(-.f64 e (*.f64 e e)) |
e |
(*.f64 e e) |
| Outputs |
|---|
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
e |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(cos.f64 v) |
v |
#s(literal 1 binary64) |
(sin.f64 v) |
(*.f64 v (-.f64 e (*.f64 e e))) |
v |
(-.f64 e (*.f64 e e)) |
e |
(*.f64 e e) |
(/.f64 v (/.f64 #s(literal 1 binary64) e)) |
(*.f64 e v) |
v |
(/.f64 #s(literal 1 binary64) e) |
#s(literal 1 binary64) |
e |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e))) |
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e)) |
(/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 e v)) |
(/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) |
(/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v) |
(+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) |
e |
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(*.f64 v v) |
v |
(fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) |
(fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) |
#s(literal -1/2 binary64) |
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1 binary64) e) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (-.f64 e (*.f64 e e))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(sin.f64 v) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (sin.f64 v)) |
(sin.f64 v) |
v |
(-.f64 e (*.f64 e e)) |
e |
(*.f64 e e) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 v) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (-.f64 e (*.f64 e e))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (sin.f64 v)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e)) |
| ✓ | accuracy | 98.4% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e))) |
| ✓ | accuracy | 75.4% | (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) e) |
| ✓ | accuracy | 99.7% | (/.f64 v (/.f64 #s(literal 1 binary64) e)) |
| ✓ | accuracy | 100.0% | (-.f64 e (*.f64 e e)) |
| ✓ | accuracy | 100.0% | (*.f64 e e) |
| ✓ | accuracy | 100.0% | (*.f64 v (-.f64 e (*.f64 e e))) |
| ✓ | accuracy | 100.0% | (sin.f64 v) |
| ✓ | accuracy | 100.0% | (cos.f64 v) |
| ✓ | accuracy | 99.8% | (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
| ✓ | accuracy | 99.6% | (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
| 65.0ms | 256× | 0 | valid |
Compiled 222 to 32 computations (85.6% saved)
ival-div: 14.0ms (29.2% of total)ival-mult: 13.0ms (27.1% of total)ival-cos: 6.0ms (12.5% of total)ival-add: 5.0ms (10.4% of total)ival-sin: 5.0ms (10.4% of total)const: 4.0ms (8.3% of total)ival-sub: 1.0ms (2.1% 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 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))> |
#<alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))> |
#<alt (fma.f64 e (cos.f64 v) #s(literal 1 binary64))> |
#<alt (cos.f64 v)> |
#<alt (*.f64 v (-.f64 e (*.f64 e e)))> |
#<alt (-.f64 e (*.f64 e e))> |
#<alt (*.f64 e e)> |
#<alt (/.f64 v (/.f64 #s(literal 1 binary64) e))> |
#<alt (/.f64 #s(literal 1 binary64) e)> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e)))> |
#<alt (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e))> |
#<alt (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))> |
#<alt (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v)> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (-.f64 e (*.f64 e e)))> |
#<alt (/.f64 #s(literal 1 binary64) (sin.f64 v))> |
#<alt (sin.f64 v)> |
#<alt (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))> |
| Outputs |
|---|
#<alt (* e (sin v))> |
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))> |
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))> |
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))> |
#<alt (/ (sin v) (cos v))> |
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))> |
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))> |
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))> |
#<alt (/ (sin v) (cos v))> |
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))> |
#<alt (/ (* e v) (+ 1 e))> |
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))> |
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))> |
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))> |
#<alt (/ 1 (sin v))> |
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#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)> |
#<alt (/ (+ 1 (* e (cos v))) (sin v))> |
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#<alt 1> |
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#<alt (+ 1 e)> |
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#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))> |
#<alt (cos v)> |
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#<alt (* v (- e (pow e 2)))> |
#<alt (* v (- e (pow e 2)))> |
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#<alt (* e v)> |
#<alt (* e (+ v (* -1 (* e v))))> |
#<alt (* e (+ v (* -1 (* e v))))> |
#<alt (* e (+ v (* -1 (* e v))))> |
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#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))> |
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#<alt e> |
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#<alt (* e (+ 1 (* -1 e)))> |
#<alt (* e (+ 1 (* -1 e)))> |
#<alt (* -1 (pow e 2))> |
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#<alt (* (pow e 2) (- (/ 1 e) 1))> |
#<alt (* (pow e 2) (- (/ 1 e) 1))> |
#<alt (pow e 2)> |
#<alt (pow e 2)> |
#<alt (pow e 2)> |
#<alt (pow e 2)> |
#<alt (pow e 2)> |
#<alt (pow e 2)> |
#<alt (pow e 2)> |
#<alt (pow e 2)> |
#<alt (pow e 2)> |
#<alt (pow e 2)> |
#<alt (pow e 2)> |
#<alt (pow e 2)> |
#<alt (* e v)> |
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#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
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#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (* e v)> |
#<alt (/ 1 e)> |
#<alt (/ 1 e)> |
#<alt (/ 1 e)> |
#<alt (/ 1 e)> |
#<alt (/ 1 e)> |
#<alt (/ 1 e)> |
#<alt (/ 1 e)> |
#<alt (/ 1 e)> |
#<alt (/ 1 e)> |
#<alt (/ 1 e)> |
#<alt (/ 1 e)> |
#<alt (/ 1 e)> |
#<alt (/ (* e v) (+ 1 (* 1/6 (pow v 2))))> |
#<alt (* e (+ (* -1 (/ (* e (* v (+ 1 (* -1/3 (pow v 2))))) (pow (+ 1 (* 1/6 (pow v 2))) 2))) (/ v (+ 1 (* 1/6 (pow v 2))))))> |
#<alt (* e (+ (* e (- (/ (* e (* v (pow (+ 1 (* -1/3 (pow v 2))) 2))) (pow (+ 1 (* 1/6 (pow v 2))) 3)) (/ (* v (+ 1 (* -1/3 (pow v 2)))) (pow (+ 1 (* 1/6 (pow v 2))) 2)))) (/ v (+ 1 (* 1/6 (pow v 2))))))> |
#<alt (* e (+ (* e (- (* e (- (* -1 (/ (* e (* v (pow (+ 1 (* -1/3 (pow v 2))) 3))) (pow (+ 1 (* 1/6 (pow v 2))) 4))) (* -1 (/ (* v (pow (+ 1 (* -1/3 (pow v 2))) 2)) (pow (+ 1 (* 1/6 (pow v 2))) 3))))) (/ (* v (+ 1 (* -1/3 (pow v 2)))) (pow (+ 1 (* 1/6 (pow v 2))) 2)))) (/ v (+ 1 (* 1/6 (pow v 2))))))> |
#<alt (/ v (+ 1 (* -1/3 (pow v 2))))> |
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#<alt (- (+ (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 3)) (* (pow e 3) (pow (+ 1 (* -1/3 (pow v 2))) 4)))) (/ v (+ 1 (* -1/3 (pow v 2))))) (+ (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (* (pow e 2) (pow (+ 1 (* -1/3 (pow v 2))) 3)))) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))))> |
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#<alt (+ (* -1 (/ v (- (* 1/3 (pow v 2)) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (pow (- (* 1/3 (pow v 2)) 1) 3))) (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 3)) (* e (pow (- (* 1/3 (pow v 2)) 1) 4))))) e)) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (pow (- (* 1/3 (pow v 2)) 1) 2))) e)))> |
#<alt (/ (* e v) (+ 1 e))> |
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#<alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (/ (* e (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3))) (pow (+ 1 e) 4))) (* -1 (/ (* e (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)) (pow (+ 1 e) 3))))) (/ (* e (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (pow (+ 1 e) 2)))) (/ e (+ 1 e))))> |
#<alt (/ e (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))> |
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#<alt (/ (- (+ (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)))) v)> |
#<alt (/ (- (+ (* -1 (/ (* e (pow (+ 1 e) 3)) (* (pow v 6) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 4)))) (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ (* -1 (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))))) v)> |
#<alt (/ e (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))> |
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#<alt (* -1 (/ (+ (* -1 (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ (* -1 (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (+ (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))) (/ (* e (pow (+ 1 e) 3)) (* (pow v 6) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 4)))))) v))> |
#<alt (/ (+ 1 (* 1/6 (pow v 2))) (* e v))> |
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#<alt 1/6> |
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#<alt (+ 1/6 (* -1/3 e))> |
#<alt (* -1/3 e)> |
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#<alt (* e (- (* 1/6 (/ 1 e)) 1/3))> |
#<alt (* e (- (* 1/6 (/ 1 e)) 1/3))> |
#<alt (* -1/3 e)> |
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#<alt (* -1 (* e (- 1/3 (* 1/6 (/ 1 e)))))> |
#<alt (* -1 (* e (- 1/3 (* 1/6 (/ 1 e)))))> |
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#<alt (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v)))> |
#<alt (/ (* e (+ 1 (* -1/3 (pow v 2)))) v)> |
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#<alt (* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))> |
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))> |
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#<alt (* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))> |
#<alt (* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))> |
#<alt v> |
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#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (* v (- e (pow e 2)))> |
#<alt (* v (- (+ e (* -1/6 (* (pow v 2) (- e (pow e 2))))) (pow e 2)))> |
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#<alt (* v (- (+ e (* (pow v 2) (+ (* -1/6 (- e (pow e 2))) (* (pow v 2) (+ (* -1/5040 (* (pow v 2) (- e (pow e 2)))) (* 1/120 (- e (pow e 2)))))))) (pow e 2)))> |
#<alt (* (sin v) (- e (pow e 2)))> |
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#<alt (* (sin v) (- e (pow e 2)))> |
#<alt (* (sin v) (- e (pow e 2)))> |
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#<alt (* e (+ (sin v) (* -1 (* e (sin v)))))> |
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#<alt (* -1 (* (pow e 2) (sin v)))> |
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#<alt (* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))> |
#<alt (* -1 (* (pow e 2) (sin v)))> |
#<alt (* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))> |
#<alt (* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))> |
#<alt (* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))> |
#<alt (/ 1 v)> |
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#<alt (/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v)> |
#<alt (/ (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) v)> |
#<alt (/ 1 (sin v))> |
#<alt (/ 1 (sin v))> |
#<alt (/ 1 (sin v))> |
#<alt (/ 1 (sin v))> |
#<alt (/ 1 (sin v))> |
#<alt (/ 1 (sin v))> |
#<alt (/ 1 (sin v))> |
#<alt (/ 1 (sin v))> |
#<alt v> |
#<alt (* v (+ 1 (* -1/6 (pow v 2))))> |
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))> |
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt (sin v)> |
#<alt 1> |
#<alt (+ 1 (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))> |
#<alt (+ 1 (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))> |
#<alt (+ 1 (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))> |
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))> |
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2))))))> |
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2))))))> |
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2))))))> |
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))> |
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2))))))> |
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2))))))> |
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2))))))> |
#<alt (+ 1 (* 1/6 (pow v 2)))> |
#<alt (+ 1 (+ (* -1/3 (* e (pow v 2))) (* 1/6 (pow v 2))))> |
#<alt (+ 1 (+ (* -1/3 (* e (pow v 2))) (* 1/6 (pow v 2))))> |
#<alt (+ 1 (+ (* -1/3 (* e (pow v 2))) (* 1/6 (pow v 2))))> |
#<alt (* -1/3 (* e (pow v 2)))> |
#<alt (* e (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e))))> |
#<alt (* e (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e))))> |
#<alt (* e (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e))))> |
#<alt (* -1/3 (* e (pow v 2)))> |
#<alt (* -1 (* e (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2)))))> |
#<alt (* -1 (* e (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2)))))> |
#<alt (* -1 (* e (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2)))))> |
84 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | v | @ | 0 | (* (/ (+ e (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) 1)) v) (/ 1 e)) |
| 3.0ms | e | @ | 0 | (/ 1 (* (/ (+ e (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) 1)) v) (/ 1 e))) |
| 2.0ms | e | @ | inf | (/ 1 (* (/ (+ e (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) 1)) v) (/ 1 e))) |
| 1.0ms | v | @ | inf | (/ 1 (* (/ (+ e (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) 1)) v) (/ 1 e))) |
| 1.0ms | e | @ | -inf | (/ 1 (* (/ (+ e (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) 1)) v) (/ 1 e))) |
| 1× | batch-egg-rewrite |
| 4 920× | lower-/.f32 |
| 4 904× | lower-/.f64 |
| 4 662× | lower-fma.f32 |
| 4 654× | lower-fma.f64 |
| 4 086× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 149 |
| 0 | 51 | 137 |
| 1 | 226 | 123 |
| 2 | 1791 | 123 |
| 0 | 8560 | 118 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) |
(fma.f64 e (cos.f64 v) #s(literal 1 binary64)) |
(cos.f64 v) |
(*.f64 v (-.f64 e (*.f64 e e))) |
(-.f64 e (*.f64 e e)) |
(*.f64 e e) |
(/.f64 v (/.f64 #s(literal 1 binary64) e)) |
(/.f64 #s(literal 1 binary64) e) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e))) |
(*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e)) |
(fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) |
(/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (-.f64 e (*.f64 e e))) |
(/.f64 #s(literal 1 binary64) (sin.f64 v)) |
(sin.f64 v) |
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))) |
(neg.f64 (*.f64 (neg.f64 (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))) |
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (*.f64 e #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))) |
(/.f64 (neg.f64 e) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))) |
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(/.f64 (*.f64 e #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))) |
(/.f64 (neg.f64 (neg.f64 e)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(/.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 v))) |
(/.f64 (neg.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 v))) |
(/.f64 (neg.f64 (*.f64 e #s(literal -1 binary64))) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 e))) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))) |
(/.f64 (neg.f64 (*.f64 e (sin.f64 v))) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 v))) |
(/.f64 (neg.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1 binary64)) |
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))) |
(*.f64 (neg.f64 (sin.f64 v)) (/.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) |
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 e (sin.f64 v))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (sin.f64 v)))) |
(*.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)) (sin.f64 v)) |
(*.f64 (/.f64 e (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (neg.f64 (sin.f64 v))) |
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))) |
(*.f64 (/.f64 e (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (/.f64 e (/.f64 #s(literal -1 binary64) (sin.f64 v)))) |
(*.f64 (/.f64 e #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))) |
(*.f64 (/.f64 e #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 v)))) |
(*.f64 (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 e (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 v)) |
(*.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (sin.f64 v))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal -1 binary64) (sin.f64 v)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 (neg.f64 e) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (neg.f64 e) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (sin.f64 v)))) |
(*.f64 (/.f64 e (pow.f64 (sin.f64 v) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) |
(*.f64 (/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal -1 binary64) (sin.f64 v)))) |
(*.f64 (/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 e (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))) |
(*.f64 (/.f64 (/.f64 e (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 e (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 v)))) |
(*.f64 (/.f64 (/.f64 e (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64))) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)) (sin.f64 v)) |
(*.f64 (/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (sin.f64 v))) |
(*.f64 (/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 v))) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))) |
(-.f64 (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) |
(neg.f64 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (sin.f64 v)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (neg.f64 (sin.f64 v))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (neg.f64 (sin.f64 v))) (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 v)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
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(/.f64 (fma.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))) #s(literal -1 binary64)) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) (*.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) (*.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))))) |
(/.f64 (neg.f64 (fma.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))) #s(literal -1 binary64))) (neg.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64)) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) (*.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal -1/8 binary64)) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (pow.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v))) (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v))) (-.f64 (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 v (*.f64 v (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v))) (fma.f64 v (*.f64 v (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v)))) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v)))) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v)))) (-.f64 (*.f64 (*.f64 v (*.f64 v (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (*.f64 v (*.f64 v (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v)))) (*.f64 v (*.f64 v (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (/.f64 (*.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) (*.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))))) |
(*.f64 (fma.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64)))) |
| 1× | egg-herbie |
| 7 772× | lower-fma.f64 |
| 7 772× | lower-fma.f32 |
| 6 714× | lower-*.f64 |
| 6 714× | lower-*.f32 |
| 2 924× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 546 | 4296 |
| 1 | 1694 | 4127 |
| 2 | 5525 | 4089 |
| 0 | 8381 | 3776 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(/ (sin v) (cos v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ (* e (sin v)) (+ 1 (* e (cos v)))) |
(/ 1 (sin v)) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) |
(/ (* e (cos v)) (sin v)) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) |
(/ (* e (cos v)) (sin v)) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) |
(/ (+ 1 e) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
(/ (+ 1 (* e (cos v))) (sin v)) |
1 |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(* e (cos v)) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(* e (+ (cos v) (/ 1 e))) |
(* e (cos v)) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) |
(+ 1 e) |
(+ 1 (+ e (* -1/2 (* e (pow v 2))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) |
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
(+ 1 (* e (cos v))) |
1 |
(+ 1 (* -1/2 (pow v 2))) |
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) |
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(cos v) |
(* v (- e (pow e 2))) |
(* v (- e (pow e 2))) |
(* v (- e (pow e 2))) |
(* v (- e (pow e 2))) |
(* v (- e (pow e 2))) |
(* v (- e (pow e 2))) |
(* v (- e (pow e 2))) |
(* v (- e (pow e 2))) |
(* v (- e (pow e 2))) |
(* v (- e (pow e 2))) |
(* v (- e (pow e 2))) |
(* v (- e (pow e 2))) |
(* e v) |
(* e (+ v (* -1 (* e v)))) |
(* e (+ v (* -1 (* e v)))) |
(* e (+ v (* -1 (* e v)))) |
(* -1 (* (pow e 2) v)) |
(* (pow e 2) (+ (* -1 v) (/ v e))) |
(* (pow e 2) (+ (* -1 v) (/ v e))) |
(* (pow e 2) (+ (* -1 v) (/ v e))) |
(* -1 (* (pow e 2) v)) |
(* (pow e 2) (+ (* -1 v) (/ v e))) |
(* (pow e 2) (+ (* -1 v) (/ v e))) |
(* (pow e 2) (+ (* -1 v) (/ v e))) |
e |
(* e (+ 1 (* -1 e))) |
(* e (+ 1 (* -1 e))) |
(* e (+ 1 (* -1 e))) |
(* -1 (pow e 2)) |
(* (pow e 2) (- (/ 1 e) 1)) |
(* (pow e 2) (- (/ 1 e) 1)) |
(* (pow e 2) (- (/ 1 e) 1)) |
(* -1 (pow e 2)) |
(* (pow e 2) (- (/ 1 e) 1)) |
(* (pow e 2) (- (/ 1 e) 1)) |
(* (pow e 2) (- (/ 1 e) 1)) |
(pow e 2) |
(pow e 2) |
(pow e 2) |
(pow e 2) |
(pow e 2) |
(pow e 2) |
(pow e 2) |
(pow e 2) |
(pow e 2) |
(pow e 2) |
(pow e 2) |
(pow e 2) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(* e v) |
(/ 1 e) |
(/ 1 e) |
(/ 1 e) |
(/ 1 e) |
(/ 1 e) |
(/ 1 e) |
(/ 1 e) |
(/ 1 e) |
(/ 1 e) |
(/ 1 e) |
(/ 1 e) |
(/ 1 e) |
(/ (* e v) (+ 1 (* 1/6 (pow v 2)))) |
(* e (+ (* -1 (/ (* e (* v (+ 1 (* -1/3 (pow v 2))))) (pow (+ 1 (* 1/6 (pow v 2))) 2))) (/ v (+ 1 (* 1/6 (pow v 2)))))) |
(* e (+ (* e (- (/ (* e (* v (pow (+ 1 (* -1/3 (pow v 2))) 2))) (pow (+ 1 (* 1/6 (pow v 2))) 3)) (/ (* v (+ 1 (* -1/3 (pow v 2)))) (pow (+ 1 (* 1/6 (pow v 2))) 2)))) (/ v (+ 1 (* 1/6 (pow v 2)))))) |
(* e (+ (* e (- (* e (- (* -1 (/ (* e (* v (pow (+ 1 (* -1/3 (pow v 2))) 3))) (pow (+ 1 (* 1/6 (pow v 2))) 4))) (* -1 (/ (* v (pow (+ 1 (* -1/3 (pow v 2))) 2)) (pow (+ 1 (* 1/6 (pow v 2))) 3))))) (/ (* v (+ 1 (* -1/3 (pow v 2)))) (pow (+ 1 (* 1/6 (pow v 2))) 2)))) (/ v (+ 1 (* 1/6 (pow v 2)))))) |
(/ v (+ 1 (* -1/3 (pow v 2)))) |
(+ (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))) (/ v (+ 1 (* -1/3 (pow v 2))))) |
(- (+ (/ v (+ 1 (* -1/3 (pow v 2)))) (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (* (pow e 2) (pow (+ 1 (* -1/3 (pow v 2))) 3)))) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))) |
(- (+ (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 3)) (* (pow e 3) (pow (+ 1 (* -1/3 (pow v 2))) 4)))) (/ v (+ 1 (* -1/3 (pow v 2))))) (+ (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (* (pow e 2) (pow (+ 1 (* -1/3 (pow v 2))) 3)))) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))))) |
(* -1 (/ v (- (* 1/3 (pow v 2)) 1))) |
(+ (* -1 (/ v (- (* 1/3 (pow v 2)) 1))) (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (- (* 1/3 (pow v 2)) 1) 2))))) |
(+ (* -1 (/ v (- (* 1/3 (pow v 2)) 1))) (* -1 (/ (+ (/ (* v (+ 1 (* 1/6 (pow v 2)))) (pow (- (* 1/3 (pow v 2)) 1) 2)) (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (* e (pow (- (* 1/3 (pow v 2)) 1) 3)))) e))) |
(+ (* -1 (/ v (- (* 1/3 (pow v 2)) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (pow (- (* 1/3 (pow v 2)) 1) 3))) (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 3)) (* e (pow (- (* 1/3 (pow v 2)) 1) 4))))) e)) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (pow (- (* 1/3 (pow v 2)) 1) 2))) e))) |
(/ (* e v) (+ 1 e)) |
(* v (+ (* -1 (/ (* e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (pow (+ 1 e) 2))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (/ (* e (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))) (pow (+ 1 e) 3)) (/ (* e (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (pow (+ 1 e) 2)))) (/ e (+ 1 e)))) |
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (/ (* e (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3))) (pow (+ 1 e) 4))) (* -1 (/ (* e (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)) (pow (+ 1 e) 3))))) (/ (* e (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (pow (+ 1 e) 2)))) (/ e (+ 1 e)))) |
(/ e (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) |
(/ (+ (* -1 (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)))) (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) v) |
(/ (- (+ (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)))) v) |
(/ (- (+ (* -1 (/ (* e (pow (+ 1 e) 3)) (* (pow v 6) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 4)))) (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ (* -1 (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))))) v) |
(/ e (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) |
(* -1 (/ (+ (* -1 (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)))) v)) |
(* -1 (/ (+ (* -1 (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ (* -1 (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))))) v)) |
(* -1 (/ (+ (* -1 (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ (* -1 (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (+ (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))) (/ (* e (pow (+ 1 e) 3)) (* (pow v 6) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 4)))))) v)) |
(/ (+ 1 (* 1/6 (pow v 2))) (* e v)) |
(/ (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v))) e) |
(/ (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v))) e) |
(/ (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v))) e) |
(/ (+ 1 (* -1/3 (pow v 2))) v) |
(+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))) |
(+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))) |
(+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))) |
(* -1 (/ (- (* 1/3 (pow v 2)) 1) v)) |
(+ (* -1 (/ (- (* 1/3 (pow v 2)) 1) v)) (+ (* 1/6 (/ v e)) (/ 1 (* e v)))) |
(+ (* -1 (/ (- (* 1/3 (pow v 2)) 1) v)) (+ (* 1/6 (/ v e)) (/ 1 (* e v)))) |
(+ (* -1 (/ (- (* 1/3 (pow v 2)) 1) v)) (+ (* 1/6 (/ v e)) (/ 1 (* e v)))) |
(/ (+ 1 e) (* e v)) |
(/ (+ 1 (+ (* (pow v 2) (- (* 1/6 (/ 1 e)) 1/3)) (/ 1 e))) v) |
(/ (+ 1 (+ (* (pow v 2) (- (* 1/6 (/ 1 e)) 1/3)) (/ 1 e))) v) |
(/ (+ 1 (+ (* (pow v 2) (- (* 1/6 (/ 1 e)) 1/3)) (/ 1 e))) v) |
(/ (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) e) |
(* v (+ -1/2 (+ 1/6 (+ (* 1/6 (/ 1 e)) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2))))))) |
(* v (+ -1/2 (+ 1/6 (+ (* 1/6 (/ 1 e)) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2))))))) |
(* v (+ -1/2 (+ 1/6 (+ (* 1/6 (/ 1 e)) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2))))))) |
(/ (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) e) |
(* -1 (* v (+ (* -1 (/ (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) e)) (* -1 (/ (+ 1 (/ 1 e)) (pow v 2)))))) |
(* -1 (* v (+ (* -1 (/ (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) e)) (* -1 (/ (+ 1 (/ 1 e)) (pow v 2)))))) |
(* -1 (* v (+ (* -1 (/ (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) e)) (* -1 (/ (+ 1 (/ 1 e)) (pow v 2)))))) |
1/6 |
(+ 1/6 (* -1/3 e)) |
(+ 1/6 (* -1/3 e)) |
(+ 1/6 (* -1/3 e)) |
(* -1/3 e) |
(* e (- (* 1/6 (/ 1 e)) 1/3)) |
(* e (- (* 1/6 (/ 1 e)) 1/3)) |
(* e (- (* 1/6 (/ 1 e)) 1/3)) |
(* -1/3 e) |
(* -1 (* e (- 1/3 (* 1/6 (/ 1 e))))) |
(* -1 (* e (- 1/3 (* 1/6 (/ 1 e))))) |
(* -1 (* e (- 1/3 (* 1/6 (/ 1 e))))) |
(/ (+ 1 (* 1/6 (pow v 2))) v) |
(+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v))) |
(+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v))) |
(+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v))) |
(/ (* e (+ 1 (* -1/3 (pow v 2)))) v) |
(* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v)))))) |
(* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v)))))) |
(* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v)))))) |
(* -1 (/ (* e (- (* 1/3 (pow v 2)) 1)) v)) |
(* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v)))) |
(* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v)))) |
(* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v)))) |
(/ (+ 1 e) v) |
(/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v) |
(/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v) |
(/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v) |
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) |
(* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))) |
(* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))) |
(* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))) |
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) |
(* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2)))))) |
(* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2)))))) |
(* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2)))))) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(* v (- e (pow e 2))) |
(* v (- (+ e (* -1/6 (* (pow v 2) (- e (pow e 2))))) (pow e 2))) |
(* v (- (+ e (* (pow v 2) (+ (* -1/6 (- e (pow e 2))) (* 1/120 (* (pow v 2) (- e (pow e 2))))))) (pow e 2))) |
(* v (- (+ e (* (pow v 2) (+ (* -1/6 (- e (pow e 2))) (* (pow v 2) (+ (* -1/5040 (* (pow v 2) (- e (pow e 2)))) (* 1/120 (- e (pow e 2)))))))) (pow e 2))) |
(* (sin v) (- e (pow e 2))) |
(* (sin v) (- e (pow e 2))) |
(* (sin v) (- e (pow e 2))) |
(* (sin v) (- e (pow e 2))) |
(* (sin v) (- e (pow e 2))) |
(* (sin v) (- e (pow e 2))) |
(* (sin v) (- e (pow e 2))) |
(* (sin v) (- e (pow e 2))) |
(* e (sin v)) |
(* e (+ (sin v) (* -1 (* e (sin v))))) |
(* e (+ (sin v) (* -1 (* e (sin v))))) |
(* e (+ (sin v) (* -1 (* e (sin v))))) |
(* -1 (* (pow e 2) (sin v))) |
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e))) |
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e))) |
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e))) |
(* -1 (* (pow e 2) (sin v))) |
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e))) |
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e))) |
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e))) |
(/ 1 v) |
(/ (+ 1 (* 1/6 (pow v 2))) v) |
(/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v) |
(/ (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) v) |
(/ 1 (sin v)) |
(/ 1 (sin v)) |
(/ 1 (sin v)) |
(/ 1 (sin v)) |
(/ 1 (sin v)) |
(/ 1 (sin v)) |
(/ 1 (sin v)) |
(/ 1 (sin v)) |
v |
(* v (+ 1 (* -1/6 (pow v 2)))) |
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) |
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
(sin v) |
1 |
(+ 1 (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) |
(+ 1 (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) |
(+ 1 (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) |
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) |
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2)))))) |
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2)))))) |
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2)))))) |
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) |
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2)))))) |
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2)))))) |
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2)))))) |
(+ 1 (* 1/6 (pow v 2))) |
(+ 1 (+ (* -1/3 (* e (pow v 2))) (* 1/6 (pow v 2)))) |
(+ 1 (+ (* -1/3 (* e (pow v 2))) (* 1/6 (pow v 2)))) |
(+ 1 (+ (* -1/3 (* e (pow v 2))) (* 1/6 (pow v 2)))) |
(* -1/3 (* e (pow v 2))) |
(* e (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))) |
(* e (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))) |
(* e (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))) |
(* -1/3 (* e (pow v 2))) |
(* -1 (* e (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))))) |
(* -1 (* e (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))))) |
(* -1 (* e (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))))) |
| Outputs |
|---|
(* e (sin v)) |
(*.f64 e (sin.f64 v)) |
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) |
(*.f64 e (-.f64 (sin.f64 v) (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v))))) |
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) |
(*.f64 e (fma.f64 e (*.f64 (sin.f64 v) (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (cos.f64 v))) (sin.f64 v))) |
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) |
(*.f64 e (fma.f64 e (-.f64 (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (*.f64 (sin.f64 v) (cos.f64 v))) (sin.f64 v))) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) |
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 e e))))) |
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) |
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 e e))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) |
(/ (sin v) (cos v)) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) |
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e)) e)) |
(/ (* e v) (+ 1 e)) |
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64))) |
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) e)))) (/.f64 e (+.f64 e #s(literal 1 binary64))))) |
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) |
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(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) |
(*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) |
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2)))))) |
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2)))))) |
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2)))))) |
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(+ 1 (* 1/6 (pow v 2))) |
(fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/3 (* e (pow v 2))) (* 1/6 (pow v 2)))) |
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/3 (* e (pow v 2))) (* 1/6 (pow v 2)))) |
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/3 (* e (pow v 2))) (* 1/6 (pow v 2)))) |
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(* -1/3 (* e (pow v 2))) |
(*.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) |
(* e (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))) |
(fma.f64 e (*.f64 (*.f64 v v) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/6 binary64) e))) #s(literal 1 binary64)) |
(* e (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))) |
(fma.f64 e (*.f64 (*.f64 v v) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/6 binary64) e))) #s(literal 1 binary64)) |
(* e (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))) |
(fma.f64 e (*.f64 (*.f64 v v) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/6 binary64) e))) #s(literal 1 binary64)) |
(* -1/3 (* e (pow v 2))) |
(*.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) |
(* -1 (* e (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))))) |
(*.f64 (neg.f64 e) (-.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) e))) |
(* -1 (* e (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))))) |
(*.f64 (neg.f64 e) (-.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) e))) |
(* -1 (* e (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))))) |
(*.f64 (neg.f64 e) (-.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) e))) |
Compiled 29 189 to 3 331 computations (88.6% saved)
40 alts after pruning (35 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 289 | 21 | 1 310 |
| Fresh | 8 | 14 | 22 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 301 | 40 | 1 341 |
| Status | Accuracy | Program |
|---|---|---|
| 56.1% | (/.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) e)) | |
| 65.7% | (/.f64 (*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (sin.f64 v)) (fma.f64 e e e)) | |
| ✓ | 99.8% | (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
| 55.2% | (/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| ✓ | 55.1% | (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)) |
| 97.9% | (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)) | |
| 5.8% | (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))) | |
| 97.9% | (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))) | |
| 4.8% | (/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) | |
| 54.5% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 e v))) | |
| 4.8% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) | |
| 97.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))) | |
| 55.6% | (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))) | |
| 55.6% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))) | |
| 98.3% | (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 e #s(literal -1/2 binary64)) (*.f64 (pow.f64 e #s(literal -1/2 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))))) | |
| 5.8% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v) (/.f64 #s(literal 1 binary64) e))) | |
| 55.4% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e))) | |
| 96.9% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e))) | |
| 4.8% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) e))) | |
| 55.4% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))) (/.f64 #s(literal 1 binary64) e))) | |
| 56.3% | (*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e) | |
| 56.2% | (*.f64 (/.f64 e (/.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))))) | |
| 54.7% | (*.f64 (/.f64 e (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (-.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))) (/.f64 v (/.f64 #s(literal 1 binary64) (-.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))) | |
| 56.2% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) (*.f64 e v)) | |
| 65.6% | (*.f64 (*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 e e e))) | |
| 74.3% | (*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e e e)) (sin.f64 v))) | |
| 36.0% | (*.f64 (sin.f64 v) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 e e #s(literal 1 binary64)) (*.f64 e e)) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (/.f64 #s(literal 1 binary64) (fma.f64 e e e))) (*.f64 (fma.f64 e e #s(literal 1 binary64)) (*.f64 e e)))) | |
| 53.6% | (*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e)) | |
| ✓ | 54.6% | (*.f64 v (-.f64 e (*.f64 e e))) |
| 54.6% | (*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e)) | |
| 29.2% | (*.f64 v (*.f64 e (neg.f64 e))) | |
| 53.6% | (*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) v) v)) | |
| 54.8% | (*.f64 e (fma.f64 (*.f64 e v) (+.f64 e #s(literal -1 binary64)) v)) | |
| 53.7% | (*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)) | |
| 54.6% | (*.f64 e (-.f64 v (*.f64 e v))) | |
| 99.3% | (*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))) | |
| 98.8% | (*.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (sin.f64 v))) | |
| 29.2% | (*.f64 e (*.f64 e (neg.f64 v))) | |
| ✓ | 98.1% | (*.f64 e (sin.f64 v)) |
| ✓ | 54.0% | (*.f64 e v) |
Compiled 1 611 to 615 computations (61.8% saved)
| Inputs |
|---|
(*.f64 e v) |
(*.f64 e (*.f64 e (neg.f64 v))) |
(*.f64 v (*.f64 e (neg.f64 e))) |
(*.f64 e (-.f64 v (*.f64 e v))) |
(*.f64 v (-.f64 e (*.f64 e e))) |
(-.f64 v (/.f64 v e)) |
(*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e)) |
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v)) |
(*.f64 e (fma.f64 (*.f64 e v) (+.f64 e #s(literal -1 binary64)) v)) |
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)) |
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)) |
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e)) |
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) |
(/.f64 e (/.f64 #s(literal 1 binary64) v)) |
(/.f64 v (/.f64 #s(literal 1 binary64) e)) |
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) |
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) (-.f64 e (*.f64 e e)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))) |
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) |
(*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 e v))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) (*.f64 e v)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e))) |
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) v) v)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))) |
(/.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) e)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v) (/.f64 #s(literal 1 binary64) e))) |
(*.f64 (/.f64 e (/.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))) (/.f64 #s(literal 1 binary64) e))) |
(*.f64 (/.f64 e (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (-.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))) (/.f64 v (/.f64 #s(literal 1 binary64) (-.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 v (*.f64 v (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
(*.f64 e (sin.f64 v)) |
(*.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (sin.f64 v))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e)) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64))) |
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (-.f64 e (*.f64 e e))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e))) |
(/.f64 (*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (sin.f64 v)) (fma.f64 e e e)) |
(*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e e e)) (sin.f64 v))) |
(*.f64 (*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 e e e))) |
(*.f64 (sin.f64 v) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 e e #s(literal 1 binary64)) (*.f64 e e)) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (/.f64 #s(literal 1 binary64) (fma.f64 e e e))) (*.f64 (fma.f64 e e #s(literal 1 binary64)) (*.f64 e e)))) |
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))) |
(*.f64 (sin.f64 v) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)) |
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)) |
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e))) |
(*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sin.f64 v) (*.f64 (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64)) (neg.f64 (*.f64 e e)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e e) e)))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64)) (neg.f64 (*.f64 e e))) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e e) e))) (sin.f64 v))) |
(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 e #s(literal -1/2 binary64)) (*.f64 (pow.f64 e #s(literal -1/2 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (*.f64 e (sin.f64 v))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 e (sin.f64 v))))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
3 calls:
| 23.0ms | e |
| 22.0ms | v |
| 17.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | e |
| 99.8% | 1 | v |
| 99.8% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
(*.f64 e v) |
(*.f64 e (*.f64 e (neg.f64 v))) |
(*.f64 v (*.f64 e (neg.f64 e))) |
(*.f64 e (-.f64 v (*.f64 e v))) |
(*.f64 v (-.f64 e (*.f64 e e))) |
(-.f64 v (/.f64 v e)) |
(*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e)) |
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v)) |
(*.f64 e (fma.f64 (*.f64 e v) (+.f64 e #s(literal -1 binary64)) v)) |
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)) |
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)) |
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e)) |
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) |
(/.f64 e (/.f64 #s(literal 1 binary64) v)) |
(/.f64 v (/.f64 #s(literal 1 binary64) e)) |
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) |
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) (-.f64 e (*.f64 e e)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))) |
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) |
(*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 e v))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) (*.f64 e v)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e))) |
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) v) v)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))) |
(/.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) e)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v) (/.f64 #s(literal 1 binary64) e))) |
(*.f64 (/.f64 e (/.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))) (/.f64 #s(literal 1 binary64) e))) |
(*.f64 (/.f64 e (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (-.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))) (/.f64 v (/.f64 #s(literal 1 binary64) (-.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 v (*.f64 v (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
(*.f64 e (sin.f64 v)) |
(*.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (sin.f64 v))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e)) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64))) |
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (-.f64 e (*.f64 e e))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e))) |
(/.f64 (*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (sin.f64 v)) (fma.f64 e e e)) |
(*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e e e)) (sin.f64 v))) |
(*.f64 (*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 e e e))) |
(*.f64 (sin.f64 v) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 e e #s(literal 1 binary64)) (*.f64 e e)) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (/.f64 #s(literal 1 binary64) (fma.f64 e e e))) (*.f64 (fma.f64 e e #s(literal 1 binary64)) (*.f64 e e)))) |
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))) |
(*.f64 (sin.f64 v) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)) |
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)) |
| Outputs |
|---|
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))) |
3 calls:
| 18.0ms | v |
| 15.0ms | e |
| 14.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | e |
| 99.3% | 1 | v |
| 99.3% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
(*.f64 e v) |
(*.f64 e (*.f64 e (neg.f64 v))) |
(*.f64 v (*.f64 e (neg.f64 e))) |
(*.f64 e (-.f64 v (*.f64 e v))) |
(*.f64 v (-.f64 e (*.f64 e e))) |
(-.f64 v (/.f64 v e)) |
(*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e)) |
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v)) |
(*.f64 e (fma.f64 (*.f64 e v) (+.f64 e #s(literal -1 binary64)) v)) |
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)) |
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)) |
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e)) |
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) |
(/.f64 e (/.f64 #s(literal 1 binary64) v)) |
(/.f64 v (/.f64 #s(literal 1 binary64) e)) |
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) |
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) (-.f64 e (*.f64 e e)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))) |
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) |
(*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 e v))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) (*.f64 e v)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e))) |
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) v) v)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))) |
(/.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) e)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v) (/.f64 #s(literal 1 binary64) e))) |
(*.f64 (/.f64 e (/.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))) (/.f64 #s(literal 1 binary64) e))) |
(*.f64 (/.f64 e (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (-.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))) (/.f64 v (/.f64 #s(literal 1 binary64) (-.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 v (*.f64 v (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
(*.f64 e (sin.f64 v)) |
(*.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (sin.f64 v))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e)) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64))) |
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))) |
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (-.f64 e (*.f64 e e))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e))) |
(/.f64 (*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (sin.f64 v)) (fma.f64 e e e)) |
(*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e e e)) (sin.f64 v))) |
(*.f64 (*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 e e e))) |
(*.f64 (sin.f64 v) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 e e #s(literal 1 binary64)) (*.f64 e e)) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (/.f64 #s(literal 1 binary64) (fma.f64 e e e))) (*.f64 (fma.f64 e e #s(literal 1 binary64)) (*.f64 e e)))) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e)) |
3 calls:
| 18.0ms | v |
| 14.0ms | e |
| 14.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | e |
| 99.2% | 1 | v |
| 99.2% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
(*.f64 e v) |
(*.f64 e (*.f64 e (neg.f64 v))) |
(*.f64 v (*.f64 e (neg.f64 e))) |
(*.f64 e (-.f64 v (*.f64 e v))) |
(*.f64 v (-.f64 e (*.f64 e e))) |
(-.f64 v (/.f64 v e)) |
(*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e)) |
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v)) |
(*.f64 e (fma.f64 (*.f64 e v) (+.f64 e #s(literal -1 binary64)) v)) |
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)) |
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)) |
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e)) |
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) |
(/.f64 e (/.f64 #s(literal 1 binary64) v)) |
(/.f64 v (/.f64 #s(literal 1 binary64) e)) |
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) |
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) (-.f64 e (*.f64 e e)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))) |
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) |
(*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 e v))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) (*.f64 e v)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e))) |
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) v) v)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))) |
(/.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) e)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v) (/.f64 #s(literal 1 binary64) e))) |
(*.f64 (/.f64 e (/.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))) (/.f64 #s(literal 1 binary64) e))) |
(*.f64 (/.f64 e (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (-.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))) (/.f64 v (/.f64 #s(literal 1 binary64) (-.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 v (*.f64 v (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
(*.f64 e (sin.f64 v)) |
(*.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (sin.f64 v))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e))) |
| Outputs |
|---|
(*.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (sin.f64 v))) |
3 calls:
| 15.0ms | e |
| 15.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 12.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | e |
| 98.8% | 1 | v |
| 98.8% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
(*.f64 e v) |
(*.f64 e (*.f64 e (neg.f64 v))) |
(*.f64 v (*.f64 e (neg.f64 e))) |
(*.f64 e (-.f64 v (*.f64 e v))) |
(*.f64 v (-.f64 e (*.f64 e e))) |
(-.f64 v (/.f64 v e)) |
(*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e)) |
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v)) |
(*.f64 e (fma.f64 (*.f64 e v) (+.f64 e #s(literal -1 binary64)) v)) |
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)) |
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)) |
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e)) |
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) |
(/.f64 e (/.f64 #s(literal 1 binary64) v)) |
(/.f64 v (/.f64 #s(literal 1 binary64) e)) |
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) |
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) (-.f64 e (*.f64 e e)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))) |
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) |
(*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 e v))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) (*.f64 e v)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e))) |
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) v) v)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))) |
(/.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) e)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v) (/.f64 #s(literal 1 binary64) e))) |
(*.f64 (/.f64 e (/.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))) (/.f64 #s(literal 1 binary64) e))) |
(*.f64 (/.f64 e (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (-.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))) (/.f64 v (/.f64 #s(literal 1 binary64) (-.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 v (*.f64 v (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
(*.f64 e (sin.f64 v)) |
| Outputs |
|---|
(*.f64 e (sin.f64 v)) |
3 calls:
| 15.0ms | e |
| 11.0ms | v |
| 11.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | v |
| 98.1% | 1 | e |
| 98.1% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
(*.f64 e v) |
(*.f64 e (*.f64 e (neg.f64 v))) |
(*.f64 v (*.f64 e (neg.f64 e))) |
(*.f64 e (-.f64 v (*.f64 e v))) |
(*.f64 v (-.f64 e (*.f64 e e))) |
(-.f64 v (/.f64 v e)) |
(*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e)) |
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v)) |
(*.f64 e (fma.f64 (*.f64 e v) (+.f64 e #s(literal -1 binary64)) v)) |
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)) |
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)) |
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e)) |
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) |
(/.f64 e (/.f64 #s(literal 1 binary64) v)) |
(/.f64 v (/.f64 #s(literal 1 binary64) e)) |
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) |
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) (-.f64 e (*.f64 e e)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))) |
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) |
(*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 e v))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) (*.f64 e v)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e))) |
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) v) v)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))) |
(/.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) e)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v) (/.f64 #s(literal 1 binary64) e))) |
(*.f64 (/.f64 e (/.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e))) |
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))) (/.f64 #s(literal 1 binary64) e))) |
(*.f64 (/.f64 e (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (-.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))) (/.f64 v (/.f64 #s(literal 1 binary64) (-.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 v (*.f64 v (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)) |
| Outputs |
|---|
(*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e) |
3 calls:
| 38.0ms | e |
| 14.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 11.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.3% | 1 | e |
| 56.3% | 1 | v |
| 56.3% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
(*.f64 e v) |
(*.f64 e (*.f64 e (neg.f64 v))) |
(*.f64 v (*.f64 e (neg.f64 e))) |
(*.f64 e (-.f64 v (*.f64 e v))) |
(*.f64 v (-.f64 e (*.f64 e e))) |
(-.f64 v (/.f64 v e)) |
(*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e)) |
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v)) |
(*.f64 e (fma.f64 (*.f64 e v) (+.f64 e #s(literal -1 binary64)) v)) |
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)) |
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)) |
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e)) |
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) |
(/.f64 e (/.f64 #s(literal 1 binary64) v)) |
(/.f64 v (/.f64 #s(literal 1 binary64) e)) |
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) |
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) (-.f64 e (*.f64 e e)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))) |
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) |
| Outputs |
|---|
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
3 calls:
| 7.0ms | v |
| 7.0ms | e |
| 6.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.2% | 1 | v |
| 55.2% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 55.2% | 1 | e |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
(*.f64 e v) |
(*.f64 e (*.f64 e (neg.f64 v))) |
(*.f64 v (*.f64 e (neg.f64 e))) |
(*.f64 e (-.f64 v (*.f64 e v))) |
(*.f64 v (-.f64 e (*.f64 e e))) |
(-.f64 v (/.f64 v e)) |
(*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e)) |
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v)) |
(*.f64 e (fma.f64 (*.f64 e v) (+.f64 e #s(literal -1 binary64)) v)) |
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)) |
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)) |
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e)) |
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) |
(/.f64 e (/.f64 #s(literal 1 binary64) v)) |
(/.f64 v (/.f64 #s(literal 1 binary64) e)) |
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)) |
| Outputs |
|---|
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)) |
3 calls:
| 23.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 5.0ms | v |
| 5.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.1% | 1 | v |
| 55.1% | 1 | e |
| 55.1% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
(*.f64 e v) |
(*.f64 e (*.f64 e (neg.f64 v))) |
(*.f64 v (*.f64 e (neg.f64 e))) |
(*.f64 e (-.f64 v (*.f64 e v))) |
(*.f64 v (-.f64 e (*.f64 e e))) |
(-.f64 v (/.f64 v e)) |
(*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e)) |
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v)) |
(*.f64 e (fma.f64 (*.f64 e v) (+.f64 e #s(literal -1 binary64)) v)) |
| Outputs |
|---|
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v)) |
3 calls:
| 3.0ms | e |
| 3.0ms | v |
| 3.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.8% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 54.8% | 1 | v |
| 54.8% | 1 | e |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
(*.f64 e v) |
(*.f64 e (*.f64 e (neg.f64 v))) |
(*.f64 v (*.f64 e (neg.f64 e))) |
(*.f64 e (-.f64 v (*.f64 e v))) |
(*.f64 v (-.f64 e (*.f64 e e))) |
(-.f64 v (/.f64 v e)) |
(*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e)) |
| Outputs |
|---|
(*.f64 e (-.f64 v (*.f64 e v))) |
3 calls:
| 7.0ms | e |
| 3.0ms | v |
| 3.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.6% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 54.6% | 1 | e |
| 54.6% | 1 | v |
Compiled 19 to 13 computations (31.6% saved)
Total -16.7b remaining (-56.8%)
Threshold costs -16.7b (-56.8%)
| Inputs |
|---|
(*.f64 e v) |
(*.f64 e (*.f64 e (neg.f64 v))) |
(*.f64 v (*.f64 e (neg.f64 e))) |
| Outputs |
|---|
(*.f64 e v) |
3 calls:
| 2.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 2.0ms | v |
| 2.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.0% | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) |
| 54.0% | 1 | v |
| 54.0% | 1 | e |
Compiled 19 to 13 computations (31.6% saved)
| 1× | egg-herbie |
| 28× | *-commutative_binary64 |
| 14× | +-commutative_binary64 |
| 12× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 93 |
| 1 | 60 | 93 |
| 2 | 73 | 93 |
| 3 | 78 | 93 |
| 4 | 80 | 93 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e)) |
(*.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (sin.f64 v))) |
(*.f64 e (sin.f64 v)) |
(*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e) |
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)) |
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v)) |
(*.f64 e (-.f64 v (*.f64 e v))) |
(*.f64 e v) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) |
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))) |
(*.f64 e (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e)) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64))) |
(*.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (sin.f64 v))) |
(*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) e))) |
(*.f64 e (sin.f64 v)) |
(*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e) |
(*.f64 e (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))))) |
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)) |
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64))) |
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v)) |
(*.f64 e (-.f64 v (*.f64 e v))) |
(*.f64 e v) |
| 14 218× | lower-fma.f64 |
| 14 218× | lower-fma.f32 |
| 14 120× | lower-fma.f64 |
| 14 120× | lower-fma.f32 |
| 12 802× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 195 | 1209 |
| 1 | 584 | 1194 |
| 2 | 1652 | 1162 |
| 3 | 4907 | 1089 |
| 0 | 8039 | 1013 |
| 0 | 350 | 3332 |
| 1 | 1045 | 3250 |
| 2 | 2990 | 3188 |
| 0 | 8248 | 2988 |
| 0 | 26 | 149 |
| 0 | 51 | 137 |
| 1 | 226 | 123 |
| 2 | 1791 | 123 |
| 0 | 8560 | 118 |
| 0 | 350 | 3281 |
| 1 | 1114 | 3148 |
| 2 | 3384 | 3046 |
| 0 | 8663 | 2879 |
| 0 | 18 | 84 |
| 0 | 36 | 82 |
| 1 | 143 | 82 |
| 2 | 773 | 82 |
| 3 | 7544 | 82 |
| 0 | 8647 | 82 |
| 0 | 546 | 4296 |
| 1 | 1694 | 4127 |
| 2 | 5525 | 4089 |
| 0 | 8381 | 3776 |
| 0 | 9 | 29 |
| 0 | 15 | 29 |
| 1 | 42 | 29 |
| 2 | 241 | 29 |
| 3 | 2097 | 29 |
| 0 | 8370 | 27 |
| 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× | 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 398 to 218 computations (45.2% saved)
(negabs v)
Compiled 360 to 182 computations (49.4% saved)
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