
Time bar (total: 10.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 7 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 8 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 11 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 10 to 9 computations (10% saved)
| 783.0ms | 8 256× | 0 | valid |
ival-div: 199.0ms (37.6% of total)ival-sin: 195.0ms (36.9% of total)ival-mult: 126.0ms (23.8% of total)ival-true: 6.0ms (1.1% of total)ival-assert: 3.0ms (0.6% of total)| 1× | egg-herbie |
| 1 504× | unsub-neg |
| 992× | distribute-lft-in |
| 920× | distribute-rgt-in |
| 632× | div-sub |
| 602× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 81 |
| 1 | 87 | 75 |
| 2 | 252 | 75 |
| 3 | 911 | 75 |
| 4 | 2899 | 75 |
| 5 | 4942 | 75 |
| 6 | 5886 | 75 |
| 7 | 5983 | 75 |
| 8 | 6028 | 75 |
| 9 | 6069 | 75 |
| 10 | 6119 | 75 |
| 11 | 6659 | 75 |
| 12 | 6917 | 75 |
| 13 | 6929 | 75 |
| 14 | 6929 | 75 |
| 15 | 6929 | 75 |
| 16 | 7087 | 75 |
| 17 | 7207 | 75 |
| 18 | 7339 | 75 |
| 19 | 7395 | 75 |
| 20 | 7395 | 75 |
| 21 | 7395 | 75 |
| 0 | 7 | 8 |
| 0 | 11 | 8 |
| 1 | 16 | 8 |
| 2 | 24 | 8 |
| 3 | 37 | 8 |
| 4 | 48 | 8 |
| 5 | 48 | 8 |
| 0 | 48 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Outputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(abs y)
(negabs z)
(negabs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 7 | 0 | - | 0 | - | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 0 | 0 | - | 0 | - | (/.f64 (sin.f64 y) y) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) | u/n | 7 | 0 |
| ↳ | (*.f64 x (/.f64 (sin.f64 y) y)) | underflow | 24 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 7 | 0 |
| - | 0 | 249 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 7 | 0 | 0 |
| - | 0 | 0 | 249 |
| number | freq |
|---|---|
| 0 | 249 |
| 1 | 7 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 52.0ms | 512× | 0 | valid |
Compiled 72 to 32 computations (55.6% saved)
ival-div: 19.0ms (55.8% of total)ival-sin: 11.0ms (32.3% of total)ival-mult: 3.0ms (8.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.3% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 y) y) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 40× | lower-*.f32 |
| 38× | lower-*.f64 |
| 30× | lower-/.f32 |
| 26× | lower-/.f64 |
| 14× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 16 | 23 |
| 2 | 24 | 23 |
| 3 | 37 | 23 |
| 4 | 48 | 23 |
| 5 | 48 | 23 |
| 0 | 48 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
z |
| Outputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.9% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 y) y) |
| ✓ | accuracy | 97.3% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 21.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-sin: 9.0ms (64.6% of total)ival-div: 3.0ms (21.5% of total)ival-mult: 1.0ms (7.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)> |
#<alt (*.f64 x (/.f64 (sin.f64 y) y))> |
#<alt (/.f64 (sin.f64 y) y)> |
#<alt (sin.f64 y)> |
| Outputs |
|---|
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ x z)> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt x> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (* x (/ (sin y) y)) |
| 2.0ms | x | @ | 0 | (/ (* x (/ (sin y) y)) z) |
| 1.0ms | y | @ | inf | (/ (* x (/ (sin y) y)) z) |
| 1.0ms | y | @ | -inf | (/ (* x (/ (sin y) y)) z) |
| 1.0ms | z | @ | 0 | (/ (* x (/ (sin y) y)) z) |
| 1× | batch-egg-rewrite |
| 3 156× | lower-*.f32 |
| 3 154× | lower-*.f64 |
| 2 052× | lower-/.f32 |
| 2 048× | lower-/.f64 |
| 1 672× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 31 | 20 |
| 2 | 151 | 20 |
| 3 | 1048 | 20 |
| 4 | 5271 | 20 |
| 0 | 8084 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64)) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))) |
(exp.f64 (log.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 y z) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 y z) (*.f64 x (sin.f64 y)))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 y z) (*.f64 x (sin.f64 y)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y (neg.f64 z)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y (neg.f64 z))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y (neg.f64 z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 y z) (sin.f64 (neg.f64 y)))) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y (neg.f64 z)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))) |
(neg.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y (neg.f64 z)))) |
(neg.f64 (/.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y (neg.f64 z))) #s(literal 1 binary64))) |
(/.f64 x (/.f64 (*.f64 y z) (sin.f64 y))) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 z x)) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) z) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)) (neg.f64 z)) |
(/.f64 (sin.f64 (neg.f64 y)) (*.f64 (/.f64 z x) (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 x (sin.f64 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 x (sin.f64 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (neg.f64 z)) (*.f64 x (sin.f64 y)))) |
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (*.f64 y (neg.f64 z))) |
(/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 z (neg.f64 x))) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (/.f64 y (*.f64 x (sin.f64 y))))) |
(/.f64 (neg.f64 x) (/.f64 (*.f64 y z) (sin.f64 (neg.f64 y)))) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y (neg.f64 z))) #s(literal -1 binary64)) |
(/.f64 (/.f64 x y) (/.f64 z (sin.f64 y))) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) z) y) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 z)) (neg.f64 y)) |
(/.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -3 binary64))) (*.f64 (neg.f64 z) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x y) (/.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x y) (/.f64 x y)))) (*.f64 (neg.f64 z) (/.f64 (*.f64 x (sin.f64 y)) y))) |
(/.f64 (/.f64 x (neg.f64 z)) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (neg.f64 z)) (*.f64 x (sin.f64 y)))) (neg.f64 z)) (*.f64 (neg.f64 z) (/.f64 (*.f64 y (neg.f64 z)) (*.f64 x (sin.f64 y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y z) (sin.f64 (neg.f64 y)))) (*.f64 (neg.f64 z) x)) (*.f64 (neg.f64 z) (/.f64 (*.f64 y z) (sin.f64 (neg.f64 y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) (/.f64 (*.f64 x (sin.f64 y)) y))) (*.f64 z z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)))) (*.f64 (neg.f64 z) z)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 z))) (*.f64 (neg.f64 z) (*.f64 x (sin.f64 y)))) (*.f64 (neg.f64 z) (*.f64 y (neg.f64 z)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y z)) (*.f64 (neg.f64 z) (neg.f64 (*.f64 x (sin.f64 y))))) (*.f64 (neg.f64 z) (*.f64 y z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y (neg.f64 z))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y (neg.f64 z))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y (neg.f64 z))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y (neg.f64 z))) #s(literal 2 binary64))) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y (neg.f64 z)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x)) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -3 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x y) (/.f64 x y)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(/.f64 (*.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 z)) #s(literal 1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) z)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x y) (/.f64 x y)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x y) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) z)) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 (/.f64 x (*.f64 y z)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (/.f64 x (*.f64 y z)))) (sin.f64 y)) |
(/.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 y) z)) x) (neg.f64 y)) |
(pow.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (*.f64 y z) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
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(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) |
(*.f64 (*.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 x (sin.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (*.f64 x (sin.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y))) |
(*.f64 (neg.f64 (*.f64 x (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 (*.f64 x (sin.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 x (sin.f64 y))) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x (sin.f64 y)))) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) x)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (sin.f64 y)))) |
(*.f64 (/.f64 (neg.f64 x) y) (sin.f64 (neg.f64 y))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (sin.f64 y)) |
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 y y)) |
(*.f64 (/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 (*.f64 y y))) y) |
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (sin.f64 (neg.f64 y))) |
(+.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y)) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 (sin.f64 y) y)) |
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) (neg.f64 y))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 (sin.f64 y) y)) |
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y))) |
(/.f64 (sin.f64 y) y) |
(/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(/.f64 (sin.f64 (neg.f64 y)) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) (sin.f64 y))) (*.f64 y y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (sin.f64 (neg.f64 y)))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) y) (*.f64 (neg.f64 y) (/.f64 y (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 y)) (*.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 y) (sin.f64 y)) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (sin.f64 y) (neg.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) (neg.f64 y)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (sin.f64 y) (neg.f64 y)) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (neg.f64 y))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (sin.f64 y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal -1 binary64) y)) (sin.f64 y)) |
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(*.f64 (sin.f64 (neg.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (sin.f64 (neg.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (sin.f64 (neg.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 (neg.f64 y))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sin.f64 y))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 (neg.f64 y)) (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 y y)) |
(*.f64 (/.f64 (sin.f64 (neg.f64 y)) (neg.f64 (*.f64 y y))) y) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (sin.f64 (neg.f64 y))) |
(+.f64 (sin.f64 y) #s(literal 0 binary64)) |
(+.f64 (sin.f64 y) (*.f64 (cos.f64 y) #s(literal 0 binary64))) |
(+.f64 #s(literal 0 binary64) (sin.f64 y)) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (sin.f64 y)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 y))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 y))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 y))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (sin.f64 (neg.f64 y))) |
(sin.f64 y) |
(fma.f64 (sin.f64 y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (sin.f64 y) #s(literal 1 binary64) (*.f64 (cos.f64 y) #s(literal 0 binary64))) |
(fma.f64 (sin.f64 (neg.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (sin.f64 (neg.f64 y)) #s(literal -1 binary64) (*.f64 (cos.f64 y) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 y) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (sin.f64 y) (*.f64 (cos.f64 y) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 y)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 y)) (*.f64 (cos.f64 y) #s(literal 0 binary64))) |
(fma.f64 #s(literal 0 binary64) (cos.f64 y) (sin.f64 y)) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (*.f64 (cos.f64 y) #s(literal 0 binary64))) |
(neg.f64 (sin.f64 (neg.f64 y))) |
(/.f64 (sin.f64 y) #s(literal 1 binary64)) |
(/.f64 (sin.f64 (neg.f64 y)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (sin.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (sin.f64 y)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (neg.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 y)))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (sin.f64 y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #s(literal -1 binary64)) (sin.f64 y)) |
(pow.f64 (sin.f64 y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) #s(literal 1 binary64)) |
(*.f64 (sin.f64 (neg.f64 y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 y)) |
(*.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 y))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 1/2 binary64))) |
| 1× | egg-herbie |
| 13 374× | lower-fma.f64 |
| 13 374× | lower-fma.f32 |
| 6 064× | lower-*.f64 |
| 6 064× | lower-*.f32 |
| 2 056× | lower-neg.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 634 |
| 1 | 181 | 634 |
| 2 | 522 | 614 |
| 3 | 1575 | 606 |
| 4 | 2557 | 606 |
| 5 | 4182 | 606 |
| 6 | 4856 | 606 |
| 7 | 5087 | 606 |
| 8 | 5589 | 606 |
| 0 | 8789 | 582 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(/.f64 (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(fma.f64 y (*.f64 y (*.f64 (/.f64 x z) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
Compiled 5 456 to 1 030 computations (81.1% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 414 | 15 | 429 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 415 | 15 | 430 |
| Status | Accuracy | Program |
|---|---|---|
| 45.7% | (fma.f64 y (*.f64 y (*.f64 (/.f64 x z) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (/.f64 x z)) | |
| 57.5% | (/.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) z) | |
| 84.1% | (/.f64 (/.f64 (*.f64 x (sin.f64 y)) z) y) | |
| 56.5% | (/.f64 (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) z) | |
| 57.5% | (/.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) | |
| ▶ | 56.5% | (/.f64 (*.f64 x (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) z) |
| ▶ | 57.4% | (/.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y)) z) |
| ▶ | 87.4% | (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
| 89.7% | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) | |
| ▶ | 64.4% | (/.f64 x z) |
| 91.8% | (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) | |
| 86.4% | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) | |
| ▶ | 95.9% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 88.1% | (*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) | |
| 86.7% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 x (sin.f64 y))) |
Compiled 428 to 264 computations (38.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 x (sin.f64 y)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) z) |
| ✓ | cost-diff | 1024 | (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) y) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y)) z) |
| ✓ | cost-diff | 1024 | (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y) |
| ✓ | cost-diff | 0 | (/.f64 x z) |
| ✓ | cost-diff | 0 | (/.f64 x z) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 y) y) |
| ✓ | cost-diff | 384 | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 14 004× | lower-fma.f32 |
| 13 996× | lower-fma.f64 |
| 3 566× | lower-*.f32 |
| 3 550× | lower-*.f64 |
| 1 960× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 224 |
| 0 | 50 | 204 |
| 1 | 99 | 204 |
| 2 | 201 | 204 |
| 3 | 429 | 204 |
| 4 | 1042 | 204 |
| 5 | 2986 | 198 |
| 6 | 5575 | 198 |
| 0 | 8601 | 192 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(/.f64 x z) |
x |
z |
(/.f64 x z) |
x |
z |
(/.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y)) z) |
(*.f64 x (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y)) |
x |
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
#s(literal -1/6 binary64) |
(*.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
z |
(/.f64 (*.f64 x (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) z) |
(*.f64 x (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
x |
(/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) y) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
y |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 y y) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 y (*.f64 y y)) |
z |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 y z) |
z |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(/.f64 x z) |
x |
z |
(/.f64 x z) |
x |
z |
(/.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y)) z) |
(/.f64 (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) x) z) |
(*.f64 x (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y)) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) x) |
x |
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
#s(literal -1/6 binary64) |
(*.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
z |
(/.f64 (*.f64 x (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) z) |
(/.f64 (fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x) z) |
(*.f64 x (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x) |
x |
(/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) y) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
y |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(*.f64 y y) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 y (*.f64 y y)) |
z |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
x |
(sin.f64 y) |
y |
(*.f64 y z) |
z |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 x (sin.f64 y)) |
| ✓ | accuracy | 87.6% | (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
| ✓ | accuracy | 99.8% | (*.f64 y (*.f64 y y)) |
| ✓ | accuracy | 99.6% | (*.f64 x (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
| ✓ | accuracy | 98.8% | (/.f64 (*.f64 x (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) z) |
| ✓ | accuracy | 98.5% | (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) y) |
| ✓ | accuracy | 99.8% | (*.f64 y (*.f64 y y)) |
| ✓ | accuracy | 95.6% | (*.f64 x (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y)) |
| ✓ | accuracy | 94.5% | (/.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y)) z) |
| ✓ | accuracy | 91.6% | (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y) |
| ✓ | accuracy | 100.0% | (/.f64 x z) |
| ✓ | accuracy | 100.0% | (/.f64 x z) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 y) y) |
| ✓ | accuracy | 95.9% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 101.0ms | 256× | 0 | valid |
Compiled 246 to 32 computations (87% saved)
ival-sin: 26.0ms (38.9% of total)ival-mult: 16.0ms (23.9% of total)ival-div: 11.0ms (16.4% of total)const: 9.0ms (13.5% of total)ival-add: 4.0ms (6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))> |
#<alt (/.f64 (sin.f64 y) y)> |
#<alt (sin.f64 y)> |
#<alt (/.f64 x z)> |
#<alt (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y)> |
#<alt (/.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y)) z)> |
#<alt (*.f64 x (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y))> |
#<alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)> |
#<alt (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)> |
#<alt (/.f64 (*.f64 x (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) z)> |
#<alt (*.f64 x (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) y))> |
#<alt (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)> |
#<alt (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))> |
#<alt (*.f64 x (sin.f64 y))> |
#<alt (*.f64 y z)> |
#<alt (*.f64 y (*.f64 y y))> |
| Outputs |
|---|
#<alt (/ x z)> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) (* y z))> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) (* y z))> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) (* y z))> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) (* y z))> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) (* y z))> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) (* y z))> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) (* y z))> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) (* y z))> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) (* y z))> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) (* y z))> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) (* y z))> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) (* y z))> |
#<alt (/ x z)> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (* -1/6 (/ (* x (pow y 2)) z))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (* -1/6 (/ (* x (pow y 2)) z))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) (* y z))> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) (* y z))> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) (* y z))> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) (* y z))> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) (* y z))> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) (* y z))> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) (* y z))> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) (* y z))> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) (* y z))> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) (* y z))> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) (* y z))> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) (* y z))> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)> |
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)> |
#<alt x> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))> |
#<alt (* -1/5040 (pow y 6))> |
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* -1/5040 (pow y 6))> |
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ x z)> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))> |
#<alt (* -1/5040 (/ (* x (pow y 6)) z))> |
#<alt (* (pow y 6) (+ (* -1/5040 (/ x z)) (* 1/120 (/ x (* (pow y 2) z)))))> |
#<alt (* (pow y 6) (+ (* -1/6 (/ x (* (pow y 4) z))) (+ (* -1/5040 (/ x z)) (* 1/120 (/ x (* (pow y 2) z))))))> |
#<alt (* (pow y 6) (+ (* -1/6 (/ x (* (pow y 4) z))) (+ (* -1/5040 (/ x z)) (+ (* 1/120 (/ x (* (pow y 2) z))) (/ x (* (pow y 6) z))))))> |
#<alt (* -1/5040 (/ (* x (pow y 6)) z))> |
#<alt (* (pow y 6) (+ (* -1/5040 (/ x z)) (* 1/120 (/ x (* (pow y 2) z)))))> |
#<alt (* (pow y 6) (+ (* -1/6 (/ x (* (pow y 4) z))) (+ (* -1/5040 (/ x z)) (* 1/120 (/ x (* (pow y 2) z))))))> |
#<alt (* (pow y 6) (+ (* -1/6 (/ x (* (pow y 4) z))) (+ (* -1/5040 (/ x z)) (+ (* 1/120 (/ x (* (pow y 2) z))) (/ x (* (pow y 6) z))))))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)> |
#<alt x> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))> |
#<alt (* -1/5040 (* x (pow y 6)))> |
#<alt (* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))> |
#<alt (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))> |
#<alt (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))> |
#<alt (* -1/5040 (* x (pow y 6)))> |
#<alt (* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))> |
#<alt (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))> |
#<alt (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* -1/5040 (pow y 7))> |
#<alt (* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* (pow y 7) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* -1/5040 (pow y 7))> |
#<alt (* -1 (* (pow y 7) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ x z)> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))> |
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))> |
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | x | @ | inf | (/ x z) |
| 3.0ms | y | @ | -inf | (/ (* x (/ (+ (* -1/6 (* y (* y y))) y) y)) z) |
| 2.0ms | x | @ | 0 | (/ (* x (/ (+ (* (+ (* y (* y (+ (* (* y y) -1/5040) 1/120))) -1/6) (* y (* y y))) y) y)) z) |
| 1.0ms | x | @ | 0 | (/ (* x (/ (+ (* -1/6 (* y (* y y))) y) y)) z) |
| 1.0ms | z | @ | 0 | (/ (* x (/ (+ (* (+ (* y (* y (+ (* (* y y) -1/5040) 1/120))) -1/6) (* y (* y y))) y) y)) z) |
| 1× | batch-egg-rewrite |
| 8 358× | lower-fma.f32 |
| 8 350× | lower-fma.f64 |
| 5 294× | lower-*.f32 |
| 5 278× | lower-*.f64 |
| 3 510× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 165 |
| 0 | 50 | 147 |
| 1 | 192 | 147 |
| 2 | 1280 | 147 |
| 0 | 8754 | 147 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
(/.f64 x z) |
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y) |
(/.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y)) z) |
(*.f64 x (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) y) |
(/.f64 (*.f64 x (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) z) |
(*.f64 x (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(*.f64 x (sin.f64 y)) |
(*.f64 y z) |
(*.f64 y (*.f64 y y)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z (neg.f64 y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z (neg.f64 y))) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z (neg.f64 y)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z (neg.f64 y)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z (neg.f64 y))))) |
(neg.f64 (/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 z x))) |
(neg.f64 (/.f64 (/.f64 x (neg.f64 z)) (/.f64 y (sin.f64 y)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) (neg.f64 z))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) (neg.f64 y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)))) |
(neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)) z)) |
(neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z)) y)) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x)) |
(/.f64 (sin.f64 y) (neg.f64 (neg.f64 (/.f64 (*.f64 y z) x)))) |
(/.f64 (sin.f64 y) (neg.f64 (neg.f64 (*.f64 (/.f64 z x) y)))) |
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 z x)) |
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
(/.f64 x (/.f64 (*.f64 y z) (sin.f64 y))) |
(/.f64 x (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (neg.f64 z)))) |
(/.f64 x (neg.f64 (*.f64 (neg.f64 z) (/.f64 y (sin.f64 y))))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (neg.f64 x) (*.f64 (/.f64 y (sin.f64 y)) (neg.f64 z))) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 z) (/.f64 y (sin.f64 y)))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (/.f64 (*.f64 y z) x))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 (/.f64 z x) y))) |
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (*.f64 z (neg.f64 y))) |
(/.f64 (/.f64 x y) (/.f64 z (sin.f64 y))) |
(/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (sin.f64 y)) z) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (neg.f64 z)) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z x) y) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (/.f64 z x) y)) (neg.f64 (sin.f64 y)))) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z)) (neg.f64 y)) |
(/.f64 (/.f64 x (neg.f64 z)) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 (/.f64 z x))) |
(pow.f64 (/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) x)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z x) y))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sin.f64 y)) z))) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sin.f64 y)) (neg.f64 z)))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (/.f64 y (sin.f64 y))))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 y z) x)))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 z x) y)))) |
(*.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 y z))) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 x y) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (sin.f64 y) (/.f64 x y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) (/.f64 x z))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 x z)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z (neg.f64 y)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z))) |
(*.f64 (/.f64 x (neg.f64 z)) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 x (neg.f64 z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) x) (sin.f64 y)) |
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) |
(*.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 (neg.f64 (sin.f64 y)) z)) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 y z))) |
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (*.f64 y z))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) z) (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) z) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (/.f64 x (*.f64 y z))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64)) (/.f64 x (neg.f64 z))) |
(*.f64 (/.f64 (/.f64 x z) #s(literal -1 binary64)) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (pow.f64 (/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 y z))) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) (/.f64 x z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) (neg.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (sin.f64 y) (neg.f64 y))) |
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (neg.f64 y)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (sin.f64 y)))) |
(/.f64 (sin.f64 y) y) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) |
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) |
(sin.f64 y) |
(neg.f64 (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 y)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 x (neg.f64 z))) |
(neg.f64 (/.f64 x (neg.f64 z))) |
(neg.f64 (*.f64 (/.f64 x (neg.f64 z)) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 z)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z x))) |
(/.f64 x z) |
(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z x))) |
(pow.f64 (/.f64 z x) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 x z) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 z))) |
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (*.f64 y (/.f64 #s(literal 1 binary64) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/36 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y) (/.f64 (/.f64 (*.f64 y y) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y)) |
(-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/36 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) (/.f64 (*.f64 y y) (*.f64 y (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(fma.f64 y (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y) (*.f64 y (/.f64 #s(literal 1 binary64) y))) |
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(*.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) (-.f64 y (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z (neg.f64 y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z (neg.f64 y))) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z (neg.f64 y)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z (neg.f64 y)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z (neg.f64 y))))) |
(neg.f64 (/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 z x))) |
(neg.f64 (/.f64 (/.f64 x (neg.f64 z)) (/.f64 y (sin.f64 y)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) (neg.f64 z))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) (neg.f64 y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)))) |
(neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)) z)) |
(neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z)) y)) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x)) |
(/.f64 (sin.f64 y) (neg.f64 (neg.f64 (/.f64 (*.f64 y z) x)))) |
(/.f64 (sin.f64 y) (neg.f64 (neg.f64 (*.f64 (/.f64 z x) y)))) |
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 z x)) |
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
(/.f64 x (/.f64 (*.f64 y z) (sin.f64 y))) |
(/.f64 x (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) (neg.f64 z)))) |
(/.f64 x (neg.f64 (*.f64 (neg.f64 z) (/.f64 y (sin.f64 y))))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (neg.f64 x) (*.f64 (/.f64 y (sin.f64 y)) (neg.f64 z))) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 z) (/.f64 y (sin.f64 y)))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (/.f64 (*.f64 y z) x))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 (/.f64 z x) y))) |
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (*.f64 z (neg.f64 y))) |
(/.f64 (/.f64 x y) (/.f64 z (sin.f64 y))) |
(/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (sin.f64 y)) z) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (neg.f64 z)) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z x) y) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (/.f64 z x) y)) (neg.f64 (sin.f64 y)))) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z)) (neg.f64 y)) |
(/.f64 (/.f64 x (neg.f64 z)) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 (/.f64 z x))) |
(pow.f64 (/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) x)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z x) y))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sin.f64 y)) z))) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sin.f64 y)) (neg.f64 z)))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (/.f64 y (sin.f64 y))))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 y z) x)))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 z x) y)))) |
(*.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 y z))) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 x y) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (sin.f64 y) (/.f64 x y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) (/.f64 x z))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 x z)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z (neg.f64 y)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z))) |
(*.f64 (/.f64 x (neg.f64 z)) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 x (neg.f64 z))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) x) (sin.f64 y)) |
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) |
(*.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 (neg.f64 (sin.f64 y)) z)) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 y z))) |
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (*.f64 y z))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) z) (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) z) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (/.f64 x (*.f64 y z))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64)) (/.f64 x (neg.f64 z))) |
(*.f64 (/.f64 (/.f64 x z) #s(literal -1 binary64)) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (pow.f64 (/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 y z))) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) (/.f64 x z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) (neg.f64 x))) |
(neg.f64 (*.f64 (sin.f64 y) (neg.f64 x))) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (neg.f64 (sin.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (neg.f64 x))) |
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (sin.f64 y)) |
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) x) |
(-.f64 #s(literal 0 binary64) (*.f64 z (neg.f64 y))) |
(neg.f64 (*.f64 z (neg.f64 y))) |
(/.f64 (*.f64 y z) #s(literal 1 binary64)) |
(/.f64 (*.f64 z (neg.f64 y)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(*.f64 y z) |
(*.f64 z y) |
(*.f64 (*.f64 y z) #s(literal 1 binary64)) |
(*.f64 (neg.f64 z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (neg.f64 z)) |
(*.f64 #s(literal 1 binary64) (*.f64 y z)) |
(*.f64 #s(literal -1 binary64) (*.f64 z (neg.f64 y))) |
(*.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) z) |
(*.f64 (*.f64 (neg.f64 z) #s(literal -1 binary64)) y) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64))) |
(pow.f64 y #s(literal 3 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 3 binary64)) |
(*.f64 y (*.f64 y y)) |
(*.f64 (*.f64 y y) y) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) |
| 1× | egg-herbie |
| 18 222× | lower-fma.f64 |
| 18 222× | lower-fma.f32 |
| 4 806× | lower-*.f64 |
| 4 806× | lower-*.f32 |
| 2 920× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 156 | 3620 |
| 1 | 477 | 3588 |
| 2 | 1374 | 3448 |
| 3 | 4204 | 3276 |
| 4 | 7994 | 3276 |
| 0 | 8006 | 3036 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ (* x (+ y (* -1/6 (pow y 3)))) (* y z)) |
(/ (* x (+ y (* -1/6 (pow y 3)))) (* y z)) |
(/ (* x (+ y (* -1/6 (pow y 3)))) (* y z)) |
(/ (* x (+ y (* -1/6 (pow y 3)))) (* y z)) |
(/ (* x (+ y (* -1/6 (pow y 3)))) (* y z)) |
(/ (* x (+ y (* -1/6 (pow y 3)))) (* y z)) |
(/ (* x (+ y (* -1/6 (pow y 3)))) (* y z)) |
(/ (* x (+ y (* -1/6 (pow y 3)))) (* y z)) |
(/ (* x (+ y (* -1/6 (pow y 3)))) (* y z)) |
(/ (* x (+ y (* -1/6 (pow y 3)))) (* y z)) |
(/ (* x (+ y (* -1/6 (pow y 3)))) (* y z)) |
(/ (* x (+ y (* -1/6 (pow y 3)))) (* y z)) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(* -1/6 (/ (* x (pow y 2)) z)) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* -1/6 (/ (* x (pow y 2)) z)) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(/ (* x (+ y (* -1/6 (pow y 3)))) (* y z)) |
(/ (* x (+ y (* -1/6 (pow y 3)))) (* y z)) |
(/ (* x (+ y (* -1/6 (pow y 3)))) (* y z)) |
(/ (* x (+ y (* -1/6 (pow y 3)))) (* y z)) |
(/ (* x (+ y (* -1/6 (pow y 3)))) (* y z)) |
(/ (* x (+ y (* -1/6 (pow y 3)))) (* y z)) |
(/ (* x (+ y (* -1/6 (pow y 3)))) (* y z)) |
(/ (* x (+ y (* -1/6 (pow y 3)))) (* y z)) |
(/ (* x (+ y (* -1/6 (pow y 3)))) (* y z)) |
(/ (* x (+ y (* -1/6 (pow y 3)))) (* y z)) |
(/ (* x (+ y (* -1/6 (pow y 3)))) (* y z)) |
(/ (* x (+ y (* -1/6 (pow y 3)))) (* y z)) |
(/ (* x (+ y (* -1/6 (pow y 3)))) y) |
(/ (* x (+ y (* -1/6 (pow y 3)))) y) |
(/ (* x (+ y (* -1/6 (pow y 3)))) y) |
(/ (* x (+ y (* -1/6 (pow y 3)))) y) |
(/ (* x (+ y (* -1/6 (pow y 3)))) y) |
(/ (* x (+ y (* -1/6 (pow y 3)))) y) |
(/ (* x (+ y (* -1/6 (pow y 3)))) y) |
(/ (* x (+ y (* -1/6 (pow y 3)))) y) |
(/ (* x (+ y (* -1/6 (pow y 3)))) y) |
(/ (* x (+ y (* -1/6 (pow y 3)))) y) |
(/ (* x (+ y (* -1/6 (pow y 3)))) y) |
(/ (* x (+ y (* -1/6 (pow y 3)))) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* -1/5040 (pow y 6)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* -1/5040 (pow y 6)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(* -1/5040 (/ (* x (pow y 6)) z)) |
(* (pow y 6) (+ (* -1/5040 (/ x z)) (* 1/120 (/ x (* (pow y 2) z))))) |
(* (pow y 6) (+ (* -1/6 (/ x (* (pow y 4) z))) (+ (* -1/5040 (/ x z)) (* 1/120 (/ x (* (pow y 2) z)))))) |
(* (pow y 6) (+ (* -1/6 (/ x (* (pow y 4) z))) (+ (* -1/5040 (/ x z)) (+ (* 1/120 (/ x (* (pow y 2) z))) (/ x (* (pow y 6) z)))))) |
(* -1/5040 (/ (* x (pow y 6)) z)) |
(* (pow y 6) (+ (* -1/5040 (/ x z)) (* 1/120 (/ x (* (pow y 2) z))))) |
(* (pow y 6) (+ (* -1/6 (/ x (* (pow y 4) z))) (+ (* -1/5040 (/ x z)) (* 1/120 (/ x (* (pow y 2) z)))))) |
(* (pow y 6) (+ (* -1/6 (/ x (* (pow y 4) z))) (+ (* -1/5040 (/ x z)) (+ (* 1/120 (/ x (* (pow y 2) z))) (/ x (* (pow y 6) z)))))) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(* -1/5040 (* x (pow y 6))) |
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6)))))) |
(* -1/5040 (* x (pow y 6))) |
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6)))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* -1/5040 (pow y 7)) |
(* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 7) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* -1/5040 (pow y 7)) |
(* -1 (* (pow y 7) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))) |
(* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2)))))) |
(* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
| Outputs |
|---|
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(*.f64 (/.f64 x z) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(fma.f64 (/.f64 (*.f64 x (*.f64 y y)) z) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* -1/6 (pow y 2)) |
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(*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
Compiled 24 162 to 2 055 computations (91.5% saved)
26 alts after pruning (23 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 102 | 17 | 1 119 |
| Fresh | 4 | 6 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 108 | 26 | 1 134 |
| Status | Accuracy | Program |
|---|---|---|
| 57.5% | (/.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) z) | |
| 45.6% | (/.f64 (/.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) z) y) | |
| 84.1% | (/.f64 (/.f64 (*.f64 x (sin.f64 y)) z) y) | |
| ▶ | 56.5% | (/.f64 (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) z) |
| 56.5% | (/.f64 (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) y)) y)) z) | |
| 35.6% | (/.f64 (*.f64 x (/.f64 (/.f64 (fma.f64 y y (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (+.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64)))) y)) z) | |
| 35.6% | (/.f64 (*.f64 x (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) y)) z) | |
| ▶ | 35.7% | (/.f64 (*.f64 x (/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y)) z) |
| 11.6% | (/.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) z) | |
| ✓ | 87.4% | (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
| 57.4% | (/.f64 (*.f64 x y) (*.f64 y z)) | |
| 11.6% | (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) z) | |
| 89.7% | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) | |
| ✓ | 64.4% | (/.f64 x z) |
| 64.5% | (/.f64 #s(literal 1 binary64) (/.f64 z x)) | |
| 45.6% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) y)) | |
| ▶ | 60.0% | (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) |
| 56.8% | (*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) y) (/.f64 x z)) | |
| 51.7% | (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (*.f64 y z)) x) | |
| ▶ | 91.8% | (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) |
| 86.4% | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) | |
| ✓ | 95.9% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 88.1% | (*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) | |
| 86.7% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 (sin.f64 y) x)) | |
| ▶ | 64.2% | (*.f64 (/.f64 #s(literal 1 binary64) z) x) |
| 46.4% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) |
Compiled 844 to 494 computations (41.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y)) |
| ✓ | cost-diff | 128 | (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 x (/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y)) z) |
| ✓ | cost-diff | 3072 | (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) z) |
| ✓ | cost-diff | 0 | (/.f64 x z) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) z) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) z) x) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 y) (*.f64 y z)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) |
| 9 088× | lower-fma.f32 |
| 9 074× | lower-fma.f64 |
| 4 406× | lower-*.f32 |
| 4 384× | lower-*.f64 |
| 2 032× | lower-+.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 353 |
| 0 | 69 | 342 |
| 1 | 160 | 338 |
| 2 | 487 | 332 |
| 3 | 2022 | 252 |
| 4 | 7587 | 252 |
| 0 | 8229 | 252 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) |
(/.f64 (sin.f64 y) (*.f64 y z)) |
(sin.f64 y) |
y |
(*.f64 y z) |
z |
x |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
x |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(/.f64 x z) |
x |
z |
(/.f64 (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) z) |
(*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
x |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
y |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(*.f64 y y) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 (*.f64 x (/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y)) z) |
(*.f64 x (/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y)) |
x |
(/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
#s(literal -1/6 binary64) |
(*.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
(fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y) |
#s(literal 1/6 binary64) |
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
z |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (sin.f64 y) (*.f64 y z)) |
(sin.f64 y) |
y |
(*.f64 y z) |
z |
x |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
(/.f64 x z) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
x |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) |
(/.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) z) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(/.f64 x z) |
x |
z |
(/.f64 (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) z) |
(/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 y y)) x) z) |
(*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 y y)) x) |
x |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
y |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(*.f64 y y) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 (*.f64 x (/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y)) z) |
(*.f64 (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) (/.f64 x (*.f64 y z))) |
(*.f64 x (/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y)) |
(*.f64 (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) (/.f64 x y)) |
x |
(/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y) |
(*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 y y)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) |
(*.f64 (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y)) |
(*.f64 y (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
#s(literal -1/6 binary64) |
(*.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
(fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y) |
(fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) |
#s(literal 1/6 binary64) |
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
z |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 95.6% | (*.f64 x (/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y)) |
| ✓ | accuracy | 94.5% | (/.f64 (*.f64 x (/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y)) z) |
| ✓ | accuracy | 91.6% | (/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y) |
| ✓ | accuracy | 44.2% | (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
| ✓ | accuracy | 98.8% | (/.f64 (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) z) |
| ✓ | accuracy | 100.0% | (/.f64 x z) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 99.9% | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
| ✓ | accuracy | 91.9% | (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) z) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) z) x) |
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 97.8% | (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) |
| ✓ | accuracy | 86.5% | (/.f64 (sin.f64 y) (*.f64 y z)) |
| 118.0ms | 256× | 0 | valid |
Compiled 391 to 44 computations (88.7% saved)
ival-mult: 47.0ms (51.6% of total)ival-div: 13.0ms (14.3% of total)const: 12.0ms (13.2% of total)ival-add: 10.0ms (11% of total)ival-sin: 8.0ms (8.8% of total)ival-neg: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)> |
#<alt (/.f64 (sin.f64 y) (*.f64 y z))> |
#<alt (sin.f64 y)> |
#<alt (*.f64 y z)> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) x)> |
#<alt (/.f64 #s(literal 1 binary64) z)> |
#<alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z))> |
#<alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))> |
#<alt (*.f64 y y)> |
#<alt (/.f64 x z)> |
#<alt (/.f64 (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) z)> |
#<alt (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))> |
#<alt (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))> |
#<alt (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))> |
#<alt (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))> |
#<alt (/.f64 (*.f64 x (/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y)) z)> |
#<alt (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y)))> |
#<alt (*.f64 x (/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y))> |
#<alt (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))> |
#<alt (/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y)> |
| Outputs |
|---|
#<alt (/ x z)> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ 1 z)> |
#<alt (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))> |
#<alt (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))> |
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))> |
#<alt (/ (sin y) (* y z))> |
#<alt (/ (sin y) (* y z))> |
#<alt (/ (sin y) (* y z))> |
#<alt (/ (sin y) (* y z))> |
#<alt (/ (sin y) (* y z))> |
#<alt (/ (sin y) (* y z))> |
#<alt (/ (sin y) (* y z))> |
#<alt (/ (sin y) (* y z))> |
#<alt (/ (sin y) (* y z))> |
#<alt (/ (sin y) (* y z))> |
#<alt (/ (sin y) (* y z))> |
#<alt (/ (sin y) (* y z))> |
#<alt (/ (sin y) (* y z))> |
#<alt (/ (sin y) (* y z))> |
#<alt (/ (sin y) (* y z))> |
#<alt (/ (sin y) (* y z))> |
#<alt (/ (sin y) (* y z))> |
#<alt (/ (sin y) (* y z))> |
#<alt (/ (sin y) (* y z))> |
#<alt (/ (sin y) (* y z))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ x z)> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (* -1/6 (/ (* x (pow y 2)) z))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (* -1/6 (/ (* x (pow y 2)) z))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z)> |
#<alt (/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z)> |
#<alt (/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z)> |
#<alt (/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z)> |
#<alt (/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z)> |
#<alt (/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z)> |
#<alt (/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z)> |
#<alt (/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z)> |
#<alt (/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z)> |
#<alt (/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z)> |
#<alt (/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z)> |
#<alt (/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z)> |
#<alt (/ x z)> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))> |
#<alt (* -1/5040 (/ (* x (pow y 6)) z))> |
#<alt (* (pow y 6) (+ (* -1/5040 (/ x z)) (* 1/120 (/ x (* (pow y 2) z)))))> |
#<alt (* (pow y 6) (+ (* -1/6 (/ x (* (pow y 4) z))) (+ (* -1/5040 (/ x z)) (* 1/120 (/ x (* (pow y 2) z))))))> |
#<alt (* (pow y 6) (+ (* -1/6 (/ x (* (pow y 4) z))) (+ (* -1/5040 (/ x z)) (+ (* 1/120 (/ x (* (pow y 2) z))) (/ x (* (pow y 6) z))))))> |
#<alt (* -1/5040 (/ (* x (pow y 6)) z))> |
#<alt (* (pow y 6) (+ (* -1/5040 (/ x z)) (* 1/120 (/ x (* (pow y 2) z)))))> |
#<alt (* (pow y 6) (+ (* -1/6 (/ x (* (pow y 4) z))) (+ (* -1/5040 (/ x z)) (* 1/120 (/ x (* (pow y 2) z))))))> |
#<alt (* (pow y 6) (+ (* -1/6 (/ x (* (pow y 4) z))) (+ (* -1/5040 (/ x z)) (+ (* 1/120 (/ x (* (pow y 2) z))) (/ x (* (pow y 6) z))))))> |
#<alt (/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z)> |
#<alt (/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z)> |
#<alt (/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z)> |
#<alt (/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z)> |
#<alt (/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z)> |
#<alt (/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z)> |
#<alt (/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z)> |
#<alt (/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z)> |
#<alt (/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z)> |
#<alt (/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z)> |
#<alt (/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z)> |
#<alt (/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z)> |
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt x> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))> |
#<alt (* -1/5040 (* x (pow y 6)))> |
#<alt (* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))> |
#<alt (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))> |
#<alt (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))> |
#<alt (* -1/5040 (* x (pow y 6)))> |
#<alt (* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))> |
#<alt (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))> |
#<alt (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))> |
#<alt (* -1/5040 (pow y 6))> |
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* -1/5040 (pow y 6))> |
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* -1/6 y)> |
#<alt (* y (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))> |
#<alt (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))> |
#<alt (* -1/5040 (pow y 5))> |
#<alt (* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* -1/5040 (pow y 5))> |
#<alt (* -1 (* (pow y 5) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* -1 (* (pow y 5) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* -1 (* (pow y 5) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1)))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1)))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1)))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1)))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1)))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1)))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1)))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1)))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1)))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1)))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1)))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1)))))> |
#<alt (/ x z)> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (* -1/6 (/ (* x (pow y 2)) z))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (* -1/6 (/ (* x (pow y 2)) z))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1)))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1)))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1)))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1)))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1)))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1)))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1)))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1)))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1)))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1)))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1)))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1)))))> |
#<alt (* -1 (pow y 2))> |
#<alt (* (pow y 2) (- (* 1/36 (pow y 4)) 1))> |
#<alt (* (pow y 2) (- (* 1/36 (pow y 4)) 1))> |
#<alt (* (pow y 2) (- (* 1/36 (pow y 4)) 1))> |
#<alt (* 1/36 (pow y 6))> |
#<alt (* (pow y 6) (- 1/36 (/ 1 (pow y 4))))> |
#<alt (* (pow y 6) (- 1/36 (/ 1 (pow y 4))))> |
#<alt (* (pow y 6) (- 1/36 (/ 1 (pow y 4))))> |
#<alt (* 1/36 (pow y 6))> |
#<alt (* (pow y 6) (- 1/36 (/ 1 (pow y 4))))> |
#<alt (* (pow y 6) (- 1/36 (/ 1 (pow y 4))))> |
#<alt (* (pow y 6) (- 1/36 (/ 1 (pow y 4))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1))))> |
#<alt (* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1))))> |
#<alt x> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt 1/120> |
#<alt (+ 1/120 (* -1/5040 (pow y 2)))> |
#<alt (+ 1/120 (* -1/5040 (pow y 2)))> |
#<alt (+ 1/120 (* -1/5040 (pow y 2)))> |
#<alt (* -1/5040 (pow y 2))> |
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* -1/5040 (pow y 2))> |
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | (/ (* x (+ (* y (* y (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6))) 1)) z) |
| 4.0ms | z | @ | inf | (/ (* x (+ (* y (* y (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6))) 1)) z) |
| 2.0ms | x | @ | 0 | (/ (* x (/ (/ (neg (* (+ (* -1/6 (* y (* y y))) y) (+ (* (* y (* y y)) 1/6) y))) (* y (+ (* -1/6 (* y y)) -1))) y)) z) |
| 2.0ms | y | @ | 0 | (/ (/ (neg (* (+ (* -1/6 (* y (* y y))) y) (+ (* (* y (* y y)) 1/6) y))) (* y (+ (* -1/6 (* y y)) -1))) y) |
| 2.0ms | z | @ | 0 | (/ (* x (/ (/ (neg (* (+ (* -1/6 (* y (* y y))) y) (+ (* (* y (* y y)) 1/6) y))) (* y (+ (* -1/6 (* y y)) -1))) y)) z) |
| 1× | batch-egg-rewrite |
| 4 926× | lower-*.f32 |
| 4 904× | lower-*.f64 |
| 4 684× | lower-fma.f32 |
| 4 670× | lower-fma.f64 |
| 4 608× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 260 |
| 0 | 69 | 238 |
| 1 | 283 | 234 |
| 2 | 2254 | 234 |
| 0 | 8413 | 234 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) |
(/.f64 (sin.f64 y) (*.f64 y z)) |
(sin.f64 y) |
(*.f64 y z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
(/.f64 #s(literal 1 binary64) z) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
(/.f64 x z) |
(/.f64 (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) z) |
(*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(/.f64 (*.f64 x (/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y)) z) |
(neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) |
(*.f64 x (/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y)) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y) |
| Outputs |
|---|
(/.f64 x (/.f64 (*.f64 y z) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)))) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (*.f64 y z) (sin.f64 y)))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (*.f64 y (neg.f64 z))) |
(/.f64 (*.f64 x (neg.f64 (sin.f64 y))) (*.f64 y (neg.f64 z))) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (*.f64 y (neg.f64 z))) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 y) x))) (neg.f64 (*.f64 y (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 x (neg.f64 (sin.f64 y)))) (neg.f64 (*.f64 y (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 x (/.f64 (sin.f64 y) y))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) x)) (neg.f64 (*.f64 y (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) (neg.f64 z)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 y) x) y)) (neg.f64 z)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 y) x) z)) (neg.f64 y)) |
(pow.f64 (/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) x)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) (/.f64 x #s(literal 1 binary64))) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 x z) (/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 z (sin.f64 y)))) |
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
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(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) y) y)) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y) y)) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) y) (/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) y) #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) y)) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) y) y) (/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) y) (/.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (neg.f64 y)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (*.f64 y y)) (/.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) y)) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) (*.f64 y y)) (/.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) y)) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) (*.f64 y y)) (/.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) (*.f64 y y)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (neg.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
| 1× | egg-herbie |
| 10 078× | lower-fma.f64 |
| 10 078× | lower-fma.f32 |
| 5 802× | lower-*.f64 |
| 5 802× | lower-*.f32 |
| 3 212× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 185 | 4679 |
| 1 | 542 | 4655 |
| 2 | 1692 | 4473 |
| 3 | 5045 | 4365 |
| 0 | 8144 | 4018 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ 1 z) |
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(* -1/6 (/ (* x (pow y 2)) z)) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* -1/6 (/ (* x (pow y 2)) z)) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(* -1/5040 (/ (* x (pow y 6)) z)) |
(* (pow y 6) (+ (* -1/5040 (/ x z)) (* 1/120 (/ x (* (pow y 2) z))))) |
(* (pow y 6) (+ (* -1/6 (/ x (* (pow y 4) z))) (+ (* -1/5040 (/ x z)) (* 1/120 (/ x (* (pow y 2) z)))))) |
(* (pow y 6) (+ (* -1/6 (/ x (* (pow y 4) z))) (+ (* -1/5040 (/ x z)) (+ (* 1/120 (/ x (* (pow y 2) z))) (/ x (* (pow y 6) z)))))) |
(* -1/5040 (/ (* x (pow y 6)) z)) |
(* (pow y 6) (+ (* -1/5040 (/ x z)) (* 1/120 (/ x (* (pow y 2) z))))) |
(* (pow y 6) (+ (* -1/6 (/ x (* (pow y 4) z))) (+ (* -1/5040 (/ x z)) (* 1/120 (/ x (* (pow y 2) z)))))) |
(* (pow y 6) (+ (* -1/6 (/ x (* (pow y 4) z))) (+ (* -1/5040 (/ x z)) (+ (* 1/120 (/ x (* (pow y 2) z))) (/ x (* (pow y 6) z)))))) |
(/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z) |
(/ (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) z) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(* -1/5040 (* x (pow y 6))) |
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6)))))) |
(* -1/5040 (* x (pow y 6))) |
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6)))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* -1/5040 (pow y 6)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* -1/5040 (pow y 6)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* -1/6 y) |
(* y (- (* 1/120 (pow y 2)) 1/6)) |
(* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* -1/5040 (pow y 5)) |
(* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* -1/5040 (pow y 5)) |
(* -1 (* (pow y 5) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))) |
(* -1 (* (pow y 5) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2)))))) |
(* -1 (* (pow y 5) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2)))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(* -1/6 (/ (* x (pow y 2)) z)) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* -1/6 (/ (* x (pow y 2)) z)) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* 1/36 (pow y 4)) 1)) |
(* (pow y 2) (- (* 1/36 (pow y 4)) 1)) |
(* (pow y 2) (- (* 1/36 (pow y 4)) 1)) |
(* 1/36 (pow y 6)) |
(* (pow y 6) (- 1/36 (/ 1 (pow y 4)))) |
(* (pow y 6) (- 1/36 (/ 1 (pow y 4)))) |
(* (pow y 6) (- 1/36 (/ 1 (pow y 4)))) |
(* 1/36 (pow y 6)) |
(* (pow y 6) (- 1/36 (/ 1 (pow y 4)))) |
(* (pow y 6) (- 1/36 (/ 1 (pow y 4)))) |
(* (pow y 6) (- 1/36 (/ 1 (pow y 4)))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
1/120 |
(+ 1/120 (* -1/5040 (pow y 2))) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(* -1/5040 (pow y 2)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* -1/5040 (pow y 2)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
| Outputs |
|---|
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(fma.f64 (*.f64 y y) (*.f64 (/.f64 x z) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (/.f64 x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(fma.f64 x (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) (*.f64 (*.f64 y y) (*.f64 (/.f64 (*.f64 x (*.f64 y y)) z) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)) |
(fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) |
(+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(fma.f64 y (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(fma.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) z) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (/.f64 #s(literal -1/6 binary64) z)) (/.f64 #s(literal 1 binary64) z)) |
(/ (sin y) (* y z)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(/ (sin y) (* y z)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(/ (sin y) (* y z)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(/ (sin y) (* y z)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(/ (sin y) (* y z)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(/ (sin y) (* y z)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(/ (sin y) (* y z)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(/ (sin y) (* y z)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(/ (sin y) (* y z)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(/ (sin y) (* y z)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(/ (sin y) (* y z)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(/ (sin y) (* y z)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(/ (sin y) (* y z)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(/ (sin y) (* y z)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(/ (sin y) (* y z)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(/ (sin y) (* y z)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(/ (sin y) (* y z)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(/ (sin y) (* y z)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(/ (sin y) (* y z)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(/ (sin y) (* y z)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
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(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(/.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) z) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(/.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) z) |
(* -1/6 (/ (* x (pow y 2)) z)) |
(/.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) z) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(/.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) z) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(/.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) z) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(/.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) z) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(*.f64 (*.f64 x (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (*.f64 z (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(*.f64 (*.f64 x (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (*.f64 z (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(*.f64 (*.f64 x (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (*.f64 z (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(*.f64 (*.f64 x (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (*.f64 z (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(*.f64 (*.f64 x (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (*.f64 z (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(*.f64 (*.f64 x (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (*.f64 z (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(*.f64 (*.f64 x (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (*.f64 z (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(*.f64 (*.f64 x (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (*.f64 z (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(*.f64 (*.f64 x (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (*.f64 z (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(*.f64 (*.f64 x (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (*.f64 z (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(*.f64 (*.f64 x (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (*.f64 z (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (* z (- (* -1/6 (pow y 2)) 1))))) |
(*.f64 (*.f64 x (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (*.f64 z (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) |
(* -1 (pow y 2)) |
(neg.f64 (*.f64 y y)) |
(* (pow y 2) (- (* 1/36 (pow y 4)) 1)) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/36 binary64) #s(literal -1 binary64))) |
(* (pow y 2) (- (* 1/36 (pow y 4)) 1)) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/36 binary64) #s(literal -1 binary64))) |
(* (pow y 2) (- (* 1/36 (pow y 4)) 1)) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/36 binary64) #s(literal -1 binary64))) |
(* 1/36 (pow y 6)) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/36 binary64)) |
(* (pow y 6) (- 1/36 (/ 1 (pow y 4)))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (*.f64 y y)) y)))) |
(* (pow y 6) (- 1/36 (/ 1 (pow y 4)))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (*.f64 y y)) y)))) |
(* (pow y 6) (- 1/36 (/ 1 (pow y 4)))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (*.f64 y y)) y)))) |
(* 1/36 (pow y 6)) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/36 binary64)) |
(* (pow y 6) (- 1/36 (/ 1 (pow y 4)))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (*.f64 y y)) y)))) |
(* (pow y 6) (- 1/36 (/ 1 (pow y 4)))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (*.f64 y y)) y)))) |
(* (pow y 6) (- 1/36 (/ 1 (pow y 4)))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (*.f64 y y)) y)))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))) |
(*.f64 x (*.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))) |
(*.f64 x (*.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))) |
(*.f64 x (*.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))) |
(*.f64 x (*.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))) |
(*.f64 x (*.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))) |
(*.f64 x (*.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))) |
(*.f64 x (*.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))) |
(*.f64 x (*.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))) |
(*.f64 x (*.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))) |
(*.f64 x (*.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))) |
(*.f64 x (*.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) |
(* -1 (/ (* x (* (+ y (* -1/6 (pow y 3))) (+ y (* 1/6 (pow y 3))))) (* (pow y 2) (- (* -1/6 (pow y 2)) 1)))) |
(*.f64 x (*.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* -1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 y (*.f64 y (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 y (*.f64 y (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 y (*.f64 y (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))) |
(* -1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 y (*.f64 y (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 y (*.f64 y (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 y (*.f64 y (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
Compiled 35 528 to 3 336 computations (90.6% saved)
37 alts after pruning (29 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 292 | 15 | 1 307 |
| Fresh | 4 | 14 | 18 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 296 | 37 | 1 333 |
| Status | Accuracy | Program |
|---|---|---|
| 60.4% | (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 z x)) | |
| 57.5% | (/.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) z) | |
| 84.1% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) | |
| 57.7% | (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 x z)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) | |
| ✓ | 56.5% | (/.f64 (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) z) |
| 35.6% | (/.f64 (*.f64 x (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) y)) z) | |
| ✓ | 35.7% | (/.f64 (*.f64 x (/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y)) z) |
| 41.4% | (/.f64 (*.f64 x (/.f64 (/.f64 (neg.f64 (*.f64 y y)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y)) z) | |
| 39.0% | (/.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (/.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) z) | |
| 34.5% | (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)))))) z) | |
| 11.6% | (/.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) z) | |
| ✓ | 87.4% | (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
| ▶ | 57.4% | (/.f64 (*.f64 x y) (*.f64 y z)) |
| 11.6% | (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) z) | |
| ▶ | 89.7% | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| ✓ | 64.4% | (/.f64 x z) |
| 64.5% | (/.f64 #s(literal 1 binary64) (/.f64 z x)) | |
| 45.6% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) y)) | |
| 56.4% | (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) z) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (/.f64 #s(literal -1/6 binary64) z)) (/.f64 #s(literal 1 binary64) z)) x) | |
| 60.0% | (*.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) y #s(literal 1 binary64)) (/.f64 x z)) | |
| ✓ | 60.0% | (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) |
| 52.1% | (*.f64 (pow.f64 (*.f64 z z) #s(literal -1/2 binary64)) x) | |
| ▶ | 56.8% | (*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) y) (/.f64 x z)) |
| 51.7% | (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (*.f64 y z)) x) | |
| 57.8% | (*.f64 (/.f64 (/.f64 x z) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) | |
| 29.8% | (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) (*.f64 z (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))) x) | |
| 29.2% | (*.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) z)) | |
| ✓ | 91.8% | (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) |
| 86.4% | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) | |
| ✓ | 95.9% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 88.1% | (*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) | |
| 86.7% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 (sin.f64 y) x)) | |
| ▶ | 57.3% | (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | 64.2% | (*.f64 (/.f64 #s(literal 1 binary64) z) x) |
| ▶ | 57.4% | (*.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (/.f64 x z)) |
| 46.4% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) | |
| 14.1% | (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 x z)) |
Compiled 1 311 to 758 computations (42.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
| ✓ | cost-diff | 384 | (*.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (/.f64 x z)) |
| ✓ | cost-diff | 1088 | (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) y) (/.f64 x z)) |
| ✓ | cost-diff | 1024 | (/.f64 (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) y) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) z) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (*.f64 x y) |
| ✓ | cost-diff | 640 | (/.f64 (*.f64 x y) (*.f64 y z)) |
| ✓ | cost-diff | 0 | (/.f64 z x) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 z x) y) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 384 | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| 14 874× | lower-fma.f32 |
| 14 862× | lower-fma.f64 |
| 5 604× | lower-+.f64 |
| 5 604× | lower-+.f32 |
| 3 334× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 333 |
| 0 | 70 | 341 |
| 1 | 153 | 320 |
| 2 | 437 | 298 |
| 3 | 1335 | 298 |
| 4 | 4051 | 294 |
| 0 | 8413 | 291 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(sin.f64 y) |
y |
(*.f64 (/.f64 z x) y) |
(/.f64 z x) |
z |
x |
(/.f64 (*.f64 x y) (*.f64 y z)) |
(*.f64 x y) |
x |
y |
(*.f64 y z) |
z |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
x |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
y |
(*.f64 y #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) y) (/.f64 x z)) |
(/.f64 (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) y) |
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(*.f64 y y) |
y |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(/.f64 x z) |
x |
z |
(*.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (/.f64 x z)) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
y |
(*.f64 y #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)) |
#s(literal 1/36 binary64) |
(*.f64 (*.f64 y y) (*.f64 y y)) |
(*.f64 y y) |
#s(literal -1 binary64) |
(/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 x z) |
x |
z |
| Outputs |
|---|
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(sin.f64 y) |
y |
(*.f64 (/.f64 z x) y) |
(/.f64 (*.f64 y z) x) |
(/.f64 z x) |
z |
x |
(/.f64 (*.f64 x y) (*.f64 y z)) |
(/.f64 x z) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 y z) |
z |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) z) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
x |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
y |
(*.f64 y #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) y) (/.f64 x z)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) z) |
(/.f64 (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) y) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(*.f64 y y) |
y |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(/.f64 x z) |
x |
z |
(*.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (/.f64 x z)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (*.f64 z (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
y |
(*.f64 y #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) |
#s(literal 1/36 binary64) |
(*.f64 (*.f64 y y) (*.f64 y y)) |
(*.f64 y (*.f64 y (*.f64 y y))) |
(*.f64 y y) |
#s(literal -1 binary64) |
(/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 x z) |
x |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (*.f64 y #s(literal -1/6 binary64)) |
| ✓ | accuracy | 91.9% | (*.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (/.f64 x z)) |
| ✓ | accuracy | 67.6% | (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
| ✓ | accuracy | 67.6% | (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 98.5% | (/.f64 (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) y) |
| ✓ | accuracy | 93.4% | (*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) y) (/.f64 x z)) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 y #s(literal -1/6 binary64)) |
| ✓ | accuracy | 95.6% | (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 94.3% | (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 100.0% | (*.f64 x y) |
| ✓ | accuracy | 79.8% | (/.f64 (*.f64 x y) (*.f64 y z)) |
| ✓ | accuracy | 100.0% | (/.f64 z x) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 93.3% | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| ✓ | accuracy | 92.8% | (*.f64 (/.f64 z x) y) |
| 102.0ms | 256× | 0 | valid |
Compiled 368 to 44 computations (88% saved)
ival-mult: 25.0ms (31.2% of total)const: 20.0ms (24.9% of total)ival-div: 14.0ms (17.5% of total)ival-add: 14.0ms (17.5% of total)ival-sin: 7.0ms (8.7% 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 (sin.f64 y) (*.f64 (/.f64 z x) y))> |
#<alt (sin.f64 y)> |
#<alt (*.f64 (/.f64 z x) y)> |
#<alt (/.f64 z x)> |
#<alt (/.f64 (*.f64 x y) (*.f64 y z))> |
#<alt (*.f64 x y)> |
#<alt (*.f64 y z)> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))> |
#<alt (/.f64 #s(literal 1 binary64) z)> |
#<alt (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))> |
#<alt (/.f64 (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) y)> |
#<alt (*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) y) (/.f64 x z))> |
#<alt (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)> |
#<alt (*.f64 y y)> |
#<alt (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))> |
#<alt (*.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (/.f64 x z))> |
#<alt (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))))> |
#<alt (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)))> |
#<alt (*.f64 y #s(literal -1/6 binary64))> |
#<alt (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))> |
#<alt (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))> |
| Outputs |
|---|
#<alt (/ x z)> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ (* x (+ 1 (* -1/6 (pow y 2)))) z)> |
#<alt (/ x z)> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (* -1/6 (/ (* x (pow y 2)) z))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (* -1/6 (/ (* x (pow y 2)) z))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt x> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))> |
#<alt (* -1/5040 (pow y 6))> |
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* -1/5040 (pow y 6))> |
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (/ x z)> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))> |
#<alt (* -1/5040 (/ (* x (pow y 6)) z))> |
#<alt (* (pow y 6) (+ (* -1/5040 (/ x z)) (* 1/120 (/ x (* (pow y 2) z)))))> |
#<alt (* (pow y 6) (+ (* -1/6 (/ x (* (pow y 4) z))) (+ (* -1/5040 (/ x z)) (* 1/120 (/ x (* (pow y 2) z))))))> |
#<alt (* (pow y 6) (+ (* -1/6 (/ x (* (pow y 4) z))) (+ (* -1/5040 (/ x z)) (+ (* 1/120 (/ x (* (pow y 2) z))) (/ x (* (pow y 6) z))))))> |
#<alt (* -1/5040 (/ (* x (pow y 6)) z))> |
#<alt (* (pow y 6) (+ (* -1/5040 (/ x z)) (* 1/120 (/ x (* (pow y 2) z)))))> |
#<alt (* (pow y 6) (+ (* -1/6 (/ x (* (pow y 4) z))) (+ (* -1/5040 (/ x z)) (* 1/120 (/ x (* (pow y 2) z))))))> |
#<alt (* (pow y 6) (+ (* -1/6 (/ x (* (pow y 4) z))) (+ (* -1/5040 (/ x z)) (+ (* 1/120 (/ x (* (pow y 2) z))) (/ x (* (pow y 6) z))))))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (* -1/5040 (pow y 7))> |
#<alt (* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* (pow y 7) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* -1/5040 (pow y 7))> |
#<alt (* -1 (* (pow y 7) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt -1> |
#<alt (- (* 1/36 (pow y 4)) 1)> |
#<alt (- (* 1/36 (pow y 4)) 1)> |
#<alt (- (* 1/36 (pow y 4)) 1)> |
#<alt (* 1/36 (pow y 4))> |
#<alt (* (pow y 4) (- 1/36 (/ 1 (pow y 4))))> |
#<alt (* (pow y 4) (- 1/36 (/ 1 (pow y 4))))> |
#<alt (* (pow y 4) (- 1/36 (/ 1 (pow y 4))))> |
#<alt (* 1/36 (pow y 4))> |
#<alt (* (pow y 4) (- 1/36 (/ 1 (pow y 4))))> |
#<alt (* (pow y 4) (- 1/36 (/ 1 (pow y 4))))> |
#<alt (* (pow y 4) (- 1/36 (/ 1 (pow y 4))))> |
#<alt (/ x z)> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (* -1/6 (/ (* x (pow y 2)) z))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (* -1/6 (/ (* x (pow y 2)) z))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))> |
#<alt (/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1)))> |
#<alt (/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1)))> |
#<alt (/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1)))> |
#<alt (/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1)))> |
#<alt (/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1)))> |
#<alt (/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1)))> |
#<alt (/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1)))> |
#<alt (/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1)))> |
#<alt (/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1)))> |
#<alt (/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1)))> |
#<alt (/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1)))> |
#<alt (/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1)))> |
#<alt (/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1)))> |
#<alt (/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1)))> |
#<alt (/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1)))> |
#<alt (/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1)))> |
#<alt (/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1)))> |
#<alt (/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1)))> |
#<alt (/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1)))> |
#<alt (/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1)))> |
#<alt (/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1)))> |
#<alt (/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1)))> |
#<alt (/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1)))> |
#<alt (/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1)))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt -1> |
#<alt (- (* 1/6 (pow y 2)) 1)> |
#<alt (- (* (pow y 2) (+ 1/6 (* -1/36 (pow y 2)))) 1)> |
#<alt (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/216 (pow y 2)) 1/36)))) 1)> |
#<alt (/ -6 (pow y 2))> |
#<alt (/ (- (* 36 (/ 1 (pow y 2))) 6) (pow y 2))> |
#<alt (/ (- (* 36 (/ 1 (pow y 2))) (+ 6 (/ 216 (pow y 4)))) (pow y 2))> |
#<alt (/ (- (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6)))) (+ 6 (/ 216 (pow y 4)))) (pow y 2))> |
#<alt (/ -6 (pow y 2))> |
#<alt (/ (- (* 36 (/ 1 (pow y 2))) 6) (pow y 2))> |
#<alt (/ (- (* 36 (/ 1 (pow y 2))) (+ 6 (/ 216 (pow y 4)))) (pow y 2))> |
#<alt (/ (- (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6)))) (+ 6 (/ 216 (pow y 4)))) (pow y 2))> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* y (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))> |
#<alt (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))> |
#<alt (* -1/5040 (pow y 5))> |
#<alt (* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* -1/5040 (pow y 5))> |
#<alt (* -1 (* (pow y 5) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* -1 (* (pow y 5) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* -1 (* (pow y 5) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt 1/120> |
#<alt (+ 1/120 (* -1/5040 (pow y 2)))> |
#<alt (+ 1/120 (* -1/5040 (pow y 2)))> |
#<alt (+ 1/120 (* -1/5040 (pow y 2)))> |
#<alt (* -1/5040 (pow y 2))> |
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* -1/5040 (pow y 2))> |
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
114 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | z | @ | 0 | (* (* (/ (+ (* y (* y -1/6)) 1) (+ (* 1/36 (* (* y y) (* y y))) -1)) (/ (+ (* y (* y -1/6)) -1) (/ 1 (+ (* y (* y -1/6)) 1)))) (/ x z)) |
| 2.0ms | x | @ | 0 | (* (* (/ (+ (* y (* y -1/6)) 1) (+ (* 1/36 (* (* y y) (* y y))) -1)) (/ (+ (* y (* y -1/6)) -1) (/ 1 (+ (* y (* y -1/6)) 1)))) (/ x z)) |
| 2.0ms | x | @ | inf | (/ z x) |
| 1.0ms | y | @ | inf | (* (* (/ (+ (* y (* y -1/6)) 1) (+ (* 1/36 (* (* y y) (* y y))) -1)) (/ (+ (* y (* y -1/6)) -1) (/ 1 (+ (* y (* y -1/6)) 1)))) (/ x z)) |
| 1.0ms | y | @ | 0 | (* (* (/ (+ (* y (* y -1/6)) 1) (+ (* 1/36 (* (* y y) (* y y))) -1)) (/ (+ (* y (* y -1/6)) -1) (/ 1 (+ (* y (* y -1/6)) 1)))) (/ x z)) |
| 1× | batch-egg-rewrite |
| 4 806× | lower-/.f32 |
| 4 788× | lower-/.f64 |
| 4 664× | lower-fma.f32 |
| 4 652× | lower-fma.f64 |
| 4 044× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 249 |
| 0 | 70 | 195 |
| 1 | 286 | 172 |
| 2 | 2412 | 172 |
| 0 | 8409 | 169 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(sin.f64 y) |
(*.f64 (/.f64 z x) y) |
(/.f64 z x) |
(/.f64 (*.f64 x y) (*.f64 y z)) |
(*.f64 x y) |
(*.f64 y z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) z) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) y) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) y) (/.f64 x z)) |
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(*.f64 y y) |
(/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (/.f64 x z)) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 y #s(literal -1/6 binary64)) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (neg.f64 z)) x)) (/.f64 (sin.f64 y) (/.f64 (*.f64 y (neg.f64 z)) x))) |
(neg.f64 (/.f64 (sin.f64 y) (/.f64 (*.f64 y (neg.f64 z)) x))) |
(neg.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 y z)))) |
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y z) x) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (/.f64 (sin.f64 y) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)))) |
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (*.f64 y (neg.f64 z)) x)) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) y) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (/.f64 (*.f64 y (neg.f64 z)) x))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (/.f64 x z))) (neg.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 (*.f64 y z) x)) |
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 z x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 y)))) (neg.f64 (neg.f64 (/.f64 (*.f64 y (neg.f64 z)) x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 y) (/.f64 x z)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64))) (/.f64 (*.f64 y (neg.f64 z)) x)) |
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 (/.f64 z x))) |
(pow.f64 (/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))) |
(*.f64 (/.f64 x z) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x))))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 z)) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) (/.f64 x z))) |
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) |
(*.f64 (/.f64 x (*.f64 y z)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 x z)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (/.f64 x (*.f64 y z))) |
(*.f64 (neg.f64 (*.f64 (sin.f64 y) (/.f64 x z))) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 x (*.f64 y z))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) |
(sin.f64 y) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 y (neg.f64 z)) x)) |
(/.f64 y (/.f64 x z)) |
(/.f64 (/.f64 (*.f64 y z) x) #s(literal 1 binary64)) |
(/.f64 (*.f64 y z) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/25401600 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/25401600 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (-.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/25401600 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/25401600 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))) |
(/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/25401600 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/25401600 binary64)))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/25401600 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/25401600 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/25401600 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (fma.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/25401600 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/25401600 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))) |
(*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/25401600 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))) |
| 1× | egg-herbie |
| 13 828× | lower-fma.f64 |
| 13 828× | lower-fma.f32 |
| 4 452× | lower-*.f64 |
| 4 452× | lower-*.f32 |
| 3 790× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 177 | 4250 |
| 1 | 494 | 4238 |
| 2 | 1400 | 4110 |
| 3 | 4575 | 4026 |
| 4 | 7625 | 4026 |
| 0 | 8155 | 3738 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ (* x (+ 1 (* -1/6 (pow y 2)))) z) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(* -1/6 (/ (* x (pow y 2)) z)) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* -1/6 (/ (* x (pow y 2)) z)) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* -1/5040 (pow y 6)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* -1/5040 (pow y 6)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(* -1/5040 (/ (* x (pow y 6)) z)) |
(* (pow y 6) (+ (* -1/5040 (/ x z)) (* 1/120 (/ x (* (pow y 2) z))))) |
(* (pow y 6) (+ (* -1/6 (/ x (* (pow y 4) z))) (+ (* -1/5040 (/ x z)) (* 1/120 (/ x (* (pow y 2) z)))))) |
(* (pow y 6) (+ (* -1/6 (/ x (* (pow y 4) z))) (+ (* -1/5040 (/ x z)) (+ (* 1/120 (/ x (* (pow y 2) z))) (/ x (* (pow y 6) z)))))) |
(* -1/5040 (/ (* x (pow y 6)) z)) |
(* (pow y 6) (+ (* -1/5040 (/ x z)) (* 1/120 (/ x (* (pow y 2) z))))) |
(* (pow y 6) (+ (* -1/6 (/ x (* (pow y 4) z))) (+ (* -1/5040 (/ x z)) (* 1/120 (/ x (* (pow y 2) z)))))) |
(* (pow y 6) (+ (* -1/6 (/ x (* (pow y 4) z))) (+ (* -1/5040 (/ x z)) (+ (* 1/120 (/ x (* (pow y 2) z))) (/ x (* (pow y 6) z)))))) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (* y z)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* -1/5040 (pow y 7)) |
(* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 7) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* -1/5040 (pow y 7)) |
(* -1 (* (pow y 7) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))) |
(* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2)))))) |
(* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
-1 |
(- (* 1/36 (pow y 4)) 1) |
(- (* 1/36 (pow y 4)) 1) |
(- (* 1/36 (pow y 4)) 1) |
(* 1/36 (pow y 4)) |
(* (pow y 4) (- 1/36 (/ 1 (pow y 4)))) |
(* (pow y 4) (- 1/36 (/ 1 (pow y 4)))) |
(* (pow y 4) (- 1/36 (/ 1 (pow y 4)))) |
(* 1/36 (pow y 4)) |
(* (pow y 4) (- 1/36 (/ 1 (pow y 4)))) |
(* (pow y 4) (- 1/36 (/ 1 (pow y 4)))) |
(* (pow y 4) (- 1/36 (/ 1 (pow y 4)))) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(* -1/6 (/ (* x (pow y 2)) z)) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* -1/6 (/ (* x (pow y 2)) z)) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(* (pow y 2) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z)))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
-1 |
(- (* 1/6 (pow y 2)) 1) |
(- (* (pow y 2) (+ 1/6 (* -1/36 (pow y 2)))) 1) |
(- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/216 (pow y 2)) 1/36)))) 1) |
(/ -6 (pow y 2)) |
(/ (- (* 36 (/ 1 (pow y 2))) 6) (pow y 2)) |
(/ (- (* 36 (/ 1 (pow y 2))) (+ 6 (/ 216 (pow y 4)))) (pow y 2)) |
(/ (- (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6)))) (+ 6 (/ 216 (pow y 4)))) (pow y 2)) |
(/ -6 (pow y 2)) |
(/ (- (* 36 (/ 1 (pow y 2))) 6) (pow y 2)) |
(/ (- (* 36 (/ 1 (pow y 2))) (+ 6 (/ 216 (pow y 4)))) (pow y 2)) |
(/ (- (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6)))) (+ 6 (/ 216 (pow y 4)))) (pow y 2)) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* y (- (* 1/120 (pow y 2)) 1/6)) |
(* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* -1/5040 (pow y 5)) |
(* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* -1/5040 (pow y 5)) |
(* -1 (* (pow y 5) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))) |
(* -1 (* (pow y 5) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2)))))) |
(* -1 (* (pow y 5) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2)))))) |
1/120 |
(+ 1/120 (* -1/5040 (pow y 2))) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(* -1/5040 (pow y 2)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* -1/5040 (pow y 2)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
| Outputs |
|---|
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(*.f64 (/.f64 x z) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(fma.f64 (/.f64 (*.f64 x (*.f64 y y)) z) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
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(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (*.f64 z (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64)))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (*.f64 z (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64)))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (*.f64 z (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64)))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (*.f64 z (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64)))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (*.f64 z (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64)))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (*.f64 z (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64)))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (*.f64 z (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64)))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (*.f64 z (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64)))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (*.f64 z (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64)))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (*.f64 z (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64)))) |
(/ (* x (* (pow (+ 1 (* -1/6 (pow y 2))) 2) (- (* -1/6 (pow y 2)) 1))) (* z (- (* 1/36 (pow y 4)) 1))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (*.f64 z (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/6 (pow y 2)) 1) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(- (* (pow y 2) (+ 1/6 (* -1/36 (pow y 2)))) 1) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/36 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/216 (pow y 2)) 1/36)))) 1) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/216 binary64) #s(literal -1/36 binary64))) #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(/ -6 (pow y 2)) |
(/.f64 #s(literal -6 binary64) (*.f64 y y)) |
(/ (- (* 36 (/ 1 (pow y 2))) 6) (pow y 2)) |
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 y y))) (*.f64 y y)) |
(/ (- (* 36 (/ 1 (pow y 2))) (+ 6 (/ 216 (pow y 4)))) (pow y 2)) |
(/.f64 (+.f64 #s(literal -6 binary64) (+.f64 (/.f64 #s(literal 36 binary64) (*.f64 y y)) (/.f64 #s(literal -216 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y y)) |
(/ (- (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6)))) (+ 6 (/ 216 (pow y 4)))) (pow y 2)) |
(/.f64 (+.f64 #s(literal -6 binary64) (+.f64 (/.f64 #s(literal 1296 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 36 binary64) (*.f64 y y)) (/.f64 #s(literal -216 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 y y)) |
(/ -6 (pow y 2)) |
(/.f64 #s(literal -6 binary64) (*.f64 y y)) |
(/ (- (* 36 (/ 1 (pow y 2))) 6) (pow y 2)) |
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 y y))) (*.f64 y y)) |
(/ (- (* 36 (/ 1 (pow y 2))) (+ 6 (/ 216 (pow y 4)))) (pow y 2)) |
(/.f64 (+.f64 #s(literal -6 binary64) (+.f64 (/.f64 #s(literal 36 binary64) (*.f64 y y)) (/.f64 #s(literal -216 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y y)) |
(/ (- (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6)))) (+ 6 (/ 216 (pow y 4)))) (pow y 2)) |
(/.f64 (+.f64 #s(literal -6 binary64) (+.f64 (/.f64 #s(literal 1296 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 36 binary64) (*.f64 y y)) (/.f64 #s(literal -216 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 y y)) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* y (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* -1/5040 (pow y 5)) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) |
(* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) |
(* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(*.f64 (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (/.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) |
(* (pow y 5) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(*.f64 (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (/.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) |
(* -1/5040 (pow y 5)) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) |
(* -1 (* (pow y 5) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) |
(* -1 (* (pow y 5) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (/.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) |
(* -1 (* (pow y 5) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (/.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* -1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* -1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
Compiled 80 577 to 5 233 computations (93.5% saved)
46 alts after pruning (36 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 339 | 17 | 2 356 |
| Fresh | 5 | 19 | 24 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 8 | 8 |
| Total | 2 347 | 46 | 2 393 |
| Status | Accuracy | Program |
|---|---|---|
| 57.5% | (/.f64 (fma.f64 y (*.f64 (*.f64 y #s(literal -1/6 binary64)) x) x) z) | |
| 60.4% | (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 z x)) | |
| 57.5% | (/.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) z) | |
| 84.1% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) | |
| 57.4% | (/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (*.f64 z (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64)))) | |
| 57.7% | (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 x z)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) | |
| 60.6% | (/.f64 (*.f64 (/.f64 x y) y) z) | |
| 57.4% | (/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/36 binary64)) #s(literal -1 binary64))) x) (*.f64 (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/36 binary64)) #s(literal -1 binary64)) z)) | |
| ✓ | 56.5% | (/.f64 (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) z) |
| ✓ | 35.7% | (/.f64 (*.f64 x (/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y)) z) |
| 41.4% | (/.f64 (*.f64 x (/.f64 (/.f64 (neg.f64 (*.f64 y y)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y)) z) | |
| 34.5% | (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)))))) z) | |
| 11.6% | (/.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) z) | |
| ✓ | 87.4% | (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
| ✓ | 57.4% | (/.f64 (*.f64 x y) (*.f64 y z)) |
| 11.6% | (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) z) | |
| ✓ | 89.7% | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| ✓ | 64.4% | (/.f64 x z) |
| 60.4% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| 59.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 x z))) | |
| 64.5% | (/.f64 #s(literal 1 binary64) (/.f64 z x)) | |
| 53.0% | (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 y x) z))) | |
| 45.6% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) y)) | |
| 56.4% | (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) z) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (/.f64 #s(literal -1/6 binary64) z)) (/.f64 #s(literal 1 binary64) z)) x) | |
| 60.0% | (*.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) y #s(literal 1 binary64)) (/.f64 x z)) | |
| 57.4% | (*.f64 (fma.f64 y (*.f64 (*.f64 y #s(literal -1/6 binary64)) x) x) (/.f64 #s(literal 1 binary64) z)) | |
| ✓ | 60.0% | (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) |
| 56.8% | (*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) y y) y) (/.f64 x z)) | |
| 51.7% | (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (*.f64 y z)) x) | |
| 29.2% | (*.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) z)) | |
| ✓ | 91.8% | (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) |
| 86.4% | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) | |
| ✓ | 95.9% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 56.0% | (*.f64 (/.f64 y z) (/.f64 x y)) | |
| 88.1% | (*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) | |
| 86.7% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 (sin.f64 y) x)) | |
| 56.7% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 y x)) | |
| 57.3% | (*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x)) | |
| 57.3% | (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| ✓ | 64.2% | (*.f64 (/.f64 #s(literal 1 binary64) z) x) |
| 57.4% | (*.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/36 binary64)) #s(literal -1 binary64))) (/.f64 x z)) | |
| 62.5% | (*.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 x z)) | |
| 46.4% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) | |
| 22.2% | (*.f64 (*.f64 (/.f64 #s(literal -6 binary64) (*.f64 y y)) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (/.f64 x z)) | |
| 14.1% | (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 x z)) | |
| 62.3% | (*.f64 y (/.f64 x (*.f64 y z))) |
Compiled 1 892 to 726 computations (61.6% saved)
| Inputs |
|---|
(/.f64 x z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
(*.f64 y (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 x y) (*.f64 y z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 y x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) z) |
(/.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) z) |
(*.f64 (/.f64 y z) (/.f64 x y)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) |
(*.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) y #s(literal 1 binary64)) (/.f64 x z)) |
(/.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) |
(/.f64 (*.f64 (/.f64 x y) y) z) |
(/.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) z) |
(/.f64 (fma.f64 y (*.f64 (*.f64 y #s(literal -1/6 binary64)) x) x) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x)) |
(*.f64 (fma.f64 y (*.f64 (*.f64 y #s(literal -1/6 binary64)) x) x) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 z x)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (*.f64 y z)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 y x) z))) |
(/.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y)) z) |
(/.f64 (/.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) z) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) y)) |
(/.f64 (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) z) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) z) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 x z))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 x z)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(fma.f64 y (*.f64 y (*.f64 (/.f64 x z) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 (/.f64 (neg.f64 (*.f64 y y)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y)) z) |
(*.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) y) (/.f64 x z)) |
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) y y) y) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) z) |
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) z) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (/.f64 #s(literal -1/6 binary64) z)) (/.f64 #s(literal 1 binary64) z)) x) |
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/36 binary64)) #s(literal -1 binary64))) x) (*.f64 (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/36 binary64)) #s(literal -1 binary64)) z)) |
(/.f64 (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) y)) y)) z) |
(*.f64 (*.f64 (/.f64 #s(literal -6 binary64) (*.f64 y y)) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (/.f64 x z)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) (*.f64 z (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))) x) |
(*.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/36 binary64)) #s(literal -1 binary64))) (/.f64 x z)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (*.f64 z (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64)))) |
(/.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (/.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) z) |
(*.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 x (/.f64 (/.f64 (fma.f64 y y (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (+.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64)))) y)) z) |
(/.f64 (*.f64 x (/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y)) z) |
(/.f64 (*.f64 x (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) y)) z) |
(*.f64 (/.f64 (/.f64 x z) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (/.f64 x z)) |
(*.f64 (pow.f64 (*.f64 z z) #s(literal -1/2 binary64)) x) |
(/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)))))) z) |
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) z) y) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
6 calls:
| 79.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 48.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 20.0ms | x |
| 19.0ms | z |
| 19.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | x |
| 99.1% | 2 | y |
| 97.3% | 1 | z |
| 97.3% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 97.3% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 97.3% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 39 to 27 computations (30.8% saved)
| Inputs |
|---|
(/.f64 x z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
(*.f64 y (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 x y) (*.f64 y z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 y x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) z) |
(/.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) z) |
(*.f64 (/.f64 y z) (/.f64 x y)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) |
(*.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) y #s(literal 1 binary64)) (/.f64 x z)) |
(/.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) |
(/.f64 (*.f64 (/.f64 x y) y) z) |
(/.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) z) |
(/.f64 (fma.f64 y (*.f64 (*.f64 y #s(literal -1/6 binary64)) x) x) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x)) |
(*.f64 (fma.f64 y (*.f64 (*.f64 y #s(literal -1/6 binary64)) x) x) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 z x)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (*.f64 y z)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 y x) z))) |
(/.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y)) z) |
(/.f64 (/.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) z) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) y)) |
(/.f64 (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) z) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) z) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 x z))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 x z)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(fma.f64 y (*.f64 y (*.f64 (/.f64 x z) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 (/.f64 (neg.f64 (*.f64 y y)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y)) z) |
(*.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) y) (/.f64 x z)) |
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) y y) y) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) z) |
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) z) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (/.f64 #s(literal -1/6 binary64) z)) (/.f64 #s(literal 1 binary64) z)) x) |
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/36 binary64)) #s(literal -1 binary64))) x) (*.f64 (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/36 binary64)) #s(literal -1 binary64)) z)) |
(/.f64 (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) y)) y)) z) |
(*.f64 (*.f64 (/.f64 #s(literal -6 binary64) (*.f64 y y)) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (/.f64 x z)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) (*.f64 z (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))) x) |
(*.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/36 binary64)) #s(literal -1 binary64))) (/.f64 x z)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (*.f64 z (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64)))) |
(/.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (/.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) z) |
(*.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 x (/.f64 (/.f64 (fma.f64 y y (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (+.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64)))) y)) z) |
(/.f64 (*.f64 x (/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y)) z) |
(/.f64 (*.f64 x (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) y)) z) |
(*.f64 (/.f64 (/.f64 x z) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (/.f64 x z)) |
(*.f64 (pow.f64 (*.f64 z z) #s(literal -1/2 binary64)) x) |
(/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)))))) z) |
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) |
6 calls:
| 24.0ms | z |
| 22.0ms | x |
| 19.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 19.0ms | y |
| 19.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | (/.f64 (sin.f64 y) y) |
| 95.9% | 1 | z |
| 97.7% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 97.7% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 98.4% | 2 | y |
| 98.7% | 2 | x |
Compiled 39 to 27 computations (30.8% saved)
| Inputs |
|---|
(/.f64 x z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
(*.f64 y (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 x y) (*.f64 y z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 y x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) z) |
(/.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) z) |
(*.f64 (/.f64 y z) (/.f64 x y)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) |
(*.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) y #s(literal 1 binary64)) (/.f64 x z)) |
(/.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) |
(/.f64 (*.f64 (/.f64 x y) y) z) |
(/.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) z) |
(/.f64 (fma.f64 y (*.f64 (*.f64 y #s(literal -1/6 binary64)) x) x) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x)) |
(*.f64 (fma.f64 y (*.f64 (*.f64 y #s(literal -1/6 binary64)) x) x) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 z x)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (*.f64 y z)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 y x) z))) |
(/.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y)) z) |
(/.f64 (/.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) z) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) y)) |
(/.f64 (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) z) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) z) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 x z))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 x z)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(fma.f64 y (*.f64 y (*.f64 (/.f64 x z) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 (/.f64 (neg.f64 (*.f64 y y)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y)) z) |
(*.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) y) (/.f64 x z)) |
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) y y) y) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) z) |
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) z) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (/.f64 #s(literal -1/6 binary64) z)) (/.f64 #s(literal 1 binary64) z)) x) |
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/36 binary64)) #s(literal -1 binary64))) x) (*.f64 (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/36 binary64)) #s(literal -1 binary64)) z)) |
(/.f64 (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) y)) y)) z) |
(*.f64 (*.f64 (/.f64 #s(literal -6 binary64) (*.f64 y y)) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (/.f64 x z)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) (*.f64 z (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))) x) |
(*.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/36 binary64)) #s(literal -1 binary64))) (/.f64 x z)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (*.f64 z (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64)))) |
(/.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (/.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) z) |
(*.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 x (/.f64 (/.f64 (fma.f64 y y (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (+.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64)))) y)) z) |
(/.f64 (*.f64 x (/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y)) z) |
(/.f64 (*.f64 x (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) y)) z) |
(*.f64 (/.f64 (/.f64 x z) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (/.f64 x z)) |
(*.f64 (pow.f64 (*.f64 z z) #s(literal -1/2 binary64)) x) |
(/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)))))) z) |
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 (sin.f64 y) x)) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) |
4 calls:
| 28.0ms | (/.f64 (sin.f64 y) y) |
| 24.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 19.0ms | y |
| 19.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.8% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 97.7% | 2 | (/.f64 (sin.f64 y) y) |
| 97.7% | 2 | y |
| 91.8% | 1 | x |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
(/.f64 x z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
(*.f64 y (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 x y) (*.f64 y z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 y x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) z) |
(/.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) z) |
(*.f64 (/.f64 y z) (/.f64 x y)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) |
(*.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) y #s(literal 1 binary64)) (/.f64 x z)) |
(/.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) |
(/.f64 (*.f64 (/.f64 x y) y) z) |
(/.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) z) |
(/.f64 (fma.f64 y (*.f64 (*.f64 y #s(literal -1/6 binary64)) x) x) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x)) |
(*.f64 (fma.f64 y (*.f64 (*.f64 y #s(literal -1/6 binary64)) x) x) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 z x)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (*.f64 y z)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 y x) z))) |
(/.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y)) z) |
(/.f64 (/.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) z) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) y)) |
(/.f64 (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) z) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) z) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 x z))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 x z)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(fma.f64 y (*.f64 y (*.f64 (/.f64 x z) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 (/.f64 (neg.f64 (*.f64 y y)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y)) z) |
(*.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) y) (/.f64 x z)) |
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) y y) y) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) z) |
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) z) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (/.f64 #s(literal -1/6 binary64) z)) (/.f64 #s(literal 1 binary64) z)) x) |
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/36 binary64)) #s(literal -1 binary64))) x) (*.f64 (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/36 binary64)) #s(literal -1 binary64)) z)) |
(/.f64 (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) y)) y)) z) |
(*.f64 (*.f64 (/.f64 #s(literal -6 binary64) (*.f64 y y)) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (/.f64 x z)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) (*.f64 z (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))) x) |
(*.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/36 binary64)) #s(literal -1 binary64))) (/.f64 x z)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (*.f64 z (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64)))) |
(/.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (/.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) z) |
(*.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 x (/.f64 (/.f64 (fma.f64 y y (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (+.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64)))) y)) z) |
(/.f64 (*.f64 x (/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) y)) z) |
(/.f64 (*.f64 x (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y))) y)) z) |
(*.f64 (/.f64 (/.f64 x z) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (/.f64 x z)) |
(*.f64 (pow.f64 (*.f64 z z) #s(literal -1/2 binary64)) x) |
(/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)))))) z) |
| Outputs |
|---|
(/.f64 (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) z) |
(*.f64 y (/.f64 x (*.f64 y z))) |
6 calls:
| 23.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 17.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 17.0ms | z |
| 17.0ms | x |
| 16.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.3% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 67.9% | 2 | x |
| 70.3% | 2 | z |
| 71.8% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 72.1% | 2 | y |
| 72.0% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 39 to 27 computations (30.8% saved)
| Inputs |
|---|
(/.f64 x z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
(*.f64 y (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 x y) (*.f64 y z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 y x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) z) |
(/.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) z) |
(*.f64 (/.f64 y z) (/.f64 x y)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) |
(*.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) y #s(literal 1 binary64)) (/.f64 x z)) |
(/.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) |
(/.f64 (*.f64 (/.f64 x y) y) z) |
(/.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) z) |
(/.f64 (fma.f64 y (*.f64 (*.f64 y #s(literal -1/6 binary64)) x) x) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x)) |
(*.f64 (fma.f64 y (*.f64 (*.f64 y #s(literal -1/6 binary64)) x) x) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 z x)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (*.f64 y z)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 y x) z))) |
(/.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y)) z) |
(/.f64 (/.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) z) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) y)) |
| Outputs |
|---|
(/.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) |
(*.f64 y (/.f64 x (*.f64 y z))) |
1 calls:
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.0% | 2 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 x z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
(*.f64 y (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 x y) (*.f64 y z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 y x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) z) |
(/.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) z) |
(*.f64 (/.f64 y z) (/.f64 x y)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) |
(*.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) y #s(literal 1 binary64)) (/.f64 x z)) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) |
(*.f64 y (/.f64 x (*.f64 y z))) |
1 calls:
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.0% | 2 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 x z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
(*.f64 y (/.f64 x (*.f64 y z))) |
(/.f64 (*.f64 x y) (*.f64 y z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 y x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) z) |
(/.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) z) |
(*.f64 (/.f64 y z) (/.f64 x y)) |
| Outputs |
|---|
(/.f64 x z) |
(*.f64 y (/.f64 x (*.f64 y z))) |
2 calls:
| 4.0ms | y |
| 3.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.8% | 2 | (/.f64 (sin.f64 y) y) |
| 71.8% | 2 | y |
Compiled 11 to 8 computations (27.3% saved)
Total -0.1b remaining (-0.4%)
Threshold costs -0.1b (-0.4%)
| Inputs |
|---|
(/.f64 x z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
| Outputs |
|---|
(/.f64 x z) |
6 calls:
| 3.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 2.0ms | x |
| 2.0ms | y |
| 1.0ms | z |
| 1.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.4% | 1 | x |
| 64.4% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 64.4% | 1 | z |
| 64.4% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 64.4% | 1 | (/.f64 (sin.f64 y) y) |
| 64.4% | 1 | y |
Compiled 39 to 27 computations (30.8% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 4.82333041314892e-14 | 9.439987327063436e-11 |
| 3.0ms | 48× | 0 | valid |
Compiled 86 to 61 computations (29.1% saved)
ival-div: 1.0ms (45.9% of total)ival-sin: 1.0ms (45.9% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 5.223168383652114e+165 | 4.3274009504004504e+169 |
| 10.0ms | 128× | 0 | valid |
Compiled 206 to 141 computations (31.6% saved)
ival-sin: 5.0ms (68% of total)ival-div: 2.0ms (27.2% of total)ival-mult: 1.0ms (13.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 1.6909546454754503e-6 | 2.06861524882743e-6 |
| 3.0ms | 48× | 0 | valid |
Compiled 92 to 67 computations (27.2% saved)
ival-div: 1.0ms (54% of total)ival-sin: 1.0ms (54% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 3.5706737591535296 | 13.363895878130448 |
| 6.0ms | 80× | 0 | valid |
Compiled 189 to 123 computations (34.9% saved)
ival-sin: 3.0ms (67.8% of total)ival-div: 1.0ms (22.6% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.5706737591535296 | 13.363895878130448 |
Compiled 139 to 98 computations (29.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 3.5706737591535296 | 13.363895878130448 |
Compiled 139 to 98 computations (29.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 2.6780423415089467e-20 | 1.029335020355321e-18 |
| 6.0ms | 112× | 0 | valid |
Compiled 140 to 97 computations (30.7% saved)
ival-sin: 2.0ms (51.9% of total)ival-div: 1.0ms (25.9% of total)ival-mult: 1.0ms (25.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 20× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 152 |
| 1 | 60 | 152 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal 6189700196426901/309485009821345068724781056 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) |
(if (<=.f64 x #s(literal 42000000000000002250068756787678843959881283417266221586453281259070943807718894595940593446605646081881273105776123285734600814096951207475443311706920331847382547300352 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)) |
(if (<=.f64 y #s(literal 4722366482869645/2361183241434822606848 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) (*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))) |
(if (<=.f64 y #s(literal 3602879701896397/562949953421312 binary64)) (/.f64 (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) z) (*.f64 y (/.f64 x (*.f64 y z)))) |
(if (<=.f64 y #s(literal 3602879701896397/562949953421312 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) (*.f64 y (/.f64 x (*.f64 y z)))) |
(if (<=.f64 y #s(literal 3602879701896397/562949953421312 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) (*.f64 y (/.f64 x (*.f64 y z)))) |
(if (<=.f64 y #s(literal 1298074214633707/1298074214633706907132624082305024 binary64)) (/.f64 x z) (*.f64 y (/.f64 x (*.f64 y z)))) |
(/.f64 x z) |
| Outputs |
|---|
(if (<=.f64 x #s(literal 6189700196426901/309485009821345068724781056 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) |
(if (<=.f64 x #s(literal 42000000000000002250068756787678843959881283417266221586453281259070943807718894595940593446605646081881273105776123285734600814096951207475443311706920331847382547300352 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)) |
(if (<=.f64 x #s(literal 42000000000000002250068756787678843959881283417266221586453281259070943807718894595940593446605646081881273105776123285734600814096951207475443311706920331847382547300352 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))) |
(if (<=.f64 y #s(literal 4722366482869645/2361183241434822606848 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) (*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))) |
(if (<=.f64 y #s(literal 4722366482869645/2361183241434822606848 binary64)) (*.f64 (/.f64 x z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))) |
(if (<=.f64 y #s(literal 3602879701896397/562949953421312 binary64)) (/.f64 (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) z) (*.f64 y (/.f64 x (*.f64 y z)))) |
(if (<=.f64 y #s(literal 3602879701896397/562949953421312 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) (*.f64 y (/.f64 x (*.f64 y z)))) |
(if (<=.f64 y #s(literal 3602879701896397/562949953421312 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) (*.f64 y (/.f64 x (*.f64 y z)))) |
(if (<=.f64 y #s(literal 3602879701896397/562949953421312 binary64)) (*.f64 (/.f64 x z) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (*.f64 y (/.f64 x (*.f64 y z)))) |
(if (<=.f64 y #s(literal 1298074214633707/1298074214633706907132624082305024 binary64)) (/.f64 x z) (*.f64 y (/.f64 x (*.f64 y z)))) |
(/.f64 x z) |
| 18 222× | lower-fma.f64 |
| 18 222× | lower-fma.f32 |
| 13 374× | lower-fma.f64 |
| 13 374× | lower-fma.f32 |
| 6 064× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 31 | 20 |
| 2 | 151 | 20 |
| 3 | 1048 | 20 |
| 4 | 5271 | 20 |
| 0 | 8084 | 20 |
| 0 | 62 | 634 |
| 1 | 181 | 634 |
| 2 | 522 | 614 |
| 3 | 1575 | 606 |
| 4 | 2557 | 606 |
| 5 | 4182 | 606 |
| 6 | 4856 | 606 |
| 7 | 5087 | 606 |
| 8 | 5589 | 606 |
| 0 | 8789 | 582 |
| 0 | 156 | 3620 |
| 1 | 477 | 3588 |
| 2 | 1374 | 3448 |
| 3 | 4204 | 3276 |
| 4 | 7994 | 3276 |
| 0 | 8006 | 3036 |
| 0 | 37 | 249 |
| 0 | 70 | 195 |
| 1 | 286 | 172 |
| 2 | 2412 | 172 |
| 0 | 8409 | 169 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 422 to 217 computations (48.6% saved)
(negabs z)
(abs y)
Compiled 594 to 238 computations (59.9% saved)
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