
Time bar (total: 3.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 9 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 10 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 11 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 640.0ms | 8 256× | 0 | valid |
ival-mult: 163.0ms (49.4% of total)ival-add: 98.0ms (29.7% of total)ival-div: 58.0ms (17.6% of total)ival-true: 7.0ms (2.1% of total)ival-assert: 4.0ms (1.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 42 | 0 | - | 0 | - | (/.f64 (*.f64 y y) z) |
| 0 | 0 | - | 0 | - | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 y y) z) | o/n | 22 | 0 |
| ↳ | (*.f64 y y) | overflow | 71 | |
/.f64 | (/.f64 (*.f64 y y) z) | u/n | 5 | 0 |
| ↳ | (*.f64 y y) | underflow | 72 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 25 | 0 |
| - | 2 | 229 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 25 | 0 | 0 |
| - | 2 | 0 | 229 |
| number | freq |
|---|---|
| 0 | 229 |
| 1 | 27 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 25.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-div: 4.0ms (37% of total)ival-mult: 4.0ms (37% of total)ival-add: 2.0ms (18.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 68 |
| 1 | 72 | 64 |
| 2 | 175 | 64 |
| 3 | 523 | 64 |
| 4 | 1181 | 64 |
| 5 | 1912 | 64 |
| 6 | 2046 | 64 |
| 7 | 2106 | 64 |
| 8 | 2152 | 64 |
| 9 | 2164 | 64 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 12 | 7 |
| 2 | 13 | 7 |
| 0 | 13 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 y y) z)) |
| Outputs |
|---|
(+.f64 x (/.f64 (*.f64 y y) z)) |
(fma.f64 (/.f64 y z) y x) |
(abs y)
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 90.7% | (+.f64 x (/.f64 (*.f64 y y) z)) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 (*.f64 y y) z) | |
| cost-diff | 1 | (+.f64 x (/.f64 (*.f64 y y) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 9 | 18 |
| 1 | 12 | 18 |
| 2 | 13 | 18 |
| 0 | 13 | 17 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 y y) z)) |
x |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
| Outputs |
|---|
(+.f64 x (/.f64 (*.f64 y y) z)) |
(fma.f64 (/.f64 y z) y x) |
x |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 (*.f64 y y) z)) | |
| accuracy | 9.98026194731609 | (/.f64 (*.f64 y y) z) |
| 12.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-div: 2.0ms (38.9% of total)ival-mult: 2.0ms (38.9% of total)ival-add: 1.0ms (19.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
| Outputs |
|---|
(/ (pow y 2) z) |
(+ x (/ (pow y 2) z)) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(pow y 2) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(/ (+ (* x z) (pow y 2)) z) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | ((+ x (/ (* y y) z)) (/ (* y y) z) (* y y)) |
| 1.0ms | y | @ | -inf | ((+ x (/ (* y y) z)) (/ (* y y) z) (* y y)) |
| 1.0ms | y | @ | 0 | ((+ x (/ (* y y) z)) (/ (* y y) z) (* y y)) |
| 1.0ms | z | @ | -inf | ((+ x (/ (* y y) z)) (/ (* y y) z) (* y y)) |
| 1.0ms | z | @ | 0 | ((+ x (/ (* y y) z)) (/ (* y y) z) (* y y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 46 |
| 1 | 58 | 46 |
| 2 | 150 | 46 |
| 3 | 497 | 46 |
| 4 | 2221 | 46 |
| 5 | 4156 | 46 |
| 6 | 6187 | 46 |
| 7 | 7922 | 46 |
| 0 | 8207 | 41 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow y 2) z) |
(+ x (/ (pow y 2) z)) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(pow y 2) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(/ (+ (* x z) (pow y 2)) z) |
| Outputs |
|---|
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(+ x (/ (pow y 2) z)) |
(fma.f64 (/.f64 y z) y x) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(fma.f64 (/.f64 y z) y x) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(fma.f64 (/.f64 y z) y x) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(fma.f64 (/.f64 y z) y x) |
(/ (+ (* x z) (pow y 2)) z) |
(/.f64 (fma.f64 z x (*.f64 y y)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 35 | 15 |
| 2 | 269 | 15 |
| 3 | 4546 | 15 |
| 0 | 8188 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 (*.f64 y y) z) x) (/.f64 (*.f64 y y) z)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 (*.f64 y y) z) x) (/.f64 (*.f64 y y) z)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (*.f64 y y) z) x) (/.f64 (*.f64 y y) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (/.f64 (*.f64 y y) z) x) (/.f64 (*.f64 y y) z)) (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 y y) z) x) (/.f64 (*.f64 y y) z)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (fma.f64 (/.f64 y z) y x)) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 y y) z) (fma.f64 (/.f64 y z) y x) (*.f64 x x))) |
(*.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (-.f64 (/.f64 (*.f64 y y) z) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 y y) z)) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 y y) z)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 (*.f64 y y) z)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)) |
(*.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) (/.f64 (fma.f64 (/.f64 y z) y x) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))))) |
(*.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) (*.f64 (fma.f64 (/.f64 y z) y x) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (/.f64 y z) y x) (/.f64 (-.f64 x (/.f64 (*.f64 y y) z)) (-.f64 x (/.f64 (*.f64 y y) z)))) |
(*.f64 (fma.f64 (/.f64 y z) y x) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) (pow.f64 (-.f64 x (/.f64 (*.f64 y y) z)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 y y) z) x) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -4 binary64))) (pow.f64 (-.f64 x (/.f64 (*.f64 y y) z)) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -6 binary64))) (pow.f64 (-.f64 x (/.f64 (*.f64 y y) z)) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 z #s(literal -4 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -6 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) #s(literal -1 binary64))) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal -9 binary64)) (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) #s(literal -1 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -6 binary64))) (pow.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z)) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x (/.f64 (*.f64 y y) z))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z)))) |
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x (/.f64 (*.f64 y y) z)) #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -6 binary64)) (pow.f64 (-.f64 x (/.f64 (*.f64 y y) z)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z)) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (/.f64 (*.f64 y y) z) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))))) (neg.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 y y) z)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))) (-.f64 x (/.f64 (*.f64 y y) z)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 z #s(literal -4 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (/.f64 (*.f64 y y) z)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal -9 binary64)) (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -6 binary64))) (pow.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y y) z))) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (pow.f64 (-.f64 x (/.f64 (*.f64 y y) z)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -4 binary64))) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) (fma.f64 x x (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 (*.f64 y y) z) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -6 binary64))) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) (+.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 z #s(literal -4 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -6 binary64))) (*.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal -9 binary64)) (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -6 binary64))) (pow.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 y y) z))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))) (-.f64 x (/.f64 (*.f64 y y) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y y) z) x) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (-.f64 x (/.f64 (*.f64 y y) z)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))))) |
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 y y) z)))) |
(neg.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))))) |
(fma.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 y) y))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) z))) x) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 y y) z) (fma.f64 (/.f64 y z) y x) (*.f64 x x)) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z)))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (fma.f64 (/.f64 y z) y x) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z)))) |
(fma.f64 (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64)) x) |
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 y z) x) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) z) x) |
(fma.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 y z) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x) |
(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x) |
(fma.f64 (neg.f64 y) (/.f64 y (neg.f64 z)) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y z)) x) |
(fma.f64 (/.f64 y z) (*.f64 y #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 y z) y x) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z) x) |
(fma.f64 #s(literal 1 binary64) x (/.f64 (*.f64 y y) z)) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x (/.f64 (*.f64 y y) z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z)))) |
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z) x) |
(fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64) x) |
(fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) x) |
(fma.f64 y (*.f64 (/.f64 y z) #s(literal 1 binary64)) x) |
(fma.f64 y (/.f64 y z) x) |
(fma.f64 x (/.f64 x (-.f64 x (/.f64 (*.f64 y y) z))) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z)))) |
(fma.f64 x #s(literal 1 binary64) (/.f64 (*.f64 y y) z)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 y y) z) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 y y) z) x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z))) |
(-.f64 x (*.f64 (neg.f64 y) (/.f64 y z))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+.f64 x (/.f64 (*.f64 y y) z)) |
(*.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 y) y))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 y z)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) z)) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 y z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (neg.f64 y) (/.f64 y (neg.f64 z))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y z))) |
(*.f64 (/.f64 y z) (*.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 y z) y) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z)) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64)) |
(*.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 y (*.f64 (/.f64 y z) #s(literal 1 binary64))) |
(*.f64 y (/.f64 y z)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 z (*.f64 y y)))) |
(pow.f64 (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 z (*.f64 y y)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64)) |
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 y) y))) (exp.f64 (log.f64 (neg.f64 z)))) |
(/.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) z) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 z y)) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 z y)) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))) |
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z)) |
(/.f64 (*.f64 y y) z) |
(/.f64 y (/.f64 z y)) |
(neg.f64 (*.f64 (*.f64 (neg.f64 y) (/.f64 y z)) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (neg.f64 y) (/.f64 y z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 y) (/.f64 y z))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (/.f64 y z))) |
(exp.f64 (-.f64 (neg.f64 (log.f64 z)) (neg.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) z)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (/.f64 (*.f64 y y) z))) |
(*.f64 (neg.f64 (neg.f64 y)) y) |
(*.f64 (*.f64 #s(literal 1 binary64) y) y) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y (neg.f64 (neg.f64 y))) |
(*.f64 y (*.f64 y #s(literal 1 binary64))) |
(*.f64 y y) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y)) |
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) |
(exp.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
Compiled 2 705 to 430 computations (84.1% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 147 | 4 | 151 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 148 | 4 | 152 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (/.f64 y z) y x) |
| ▶ | 99.9% | (+.f64 x (/.f64 y (/.f64 z y))) |
| ▶ | 91.4% | (+.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))) |
| ▶ | 39.9% | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
Compiled 36 to 30 computations (16.7% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (fma.f64 (/.f64 y z) y x) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | (/.f64 y (/.f64 z y)) | |
| cost-diff | 1 | (+.f64 x (/.f64 y (/.f64 z y))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))) | |
| cost-diff | 0 | (+.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))) | |
| cost-diff | 1 | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 (*.f64 y y) z) | |
| cost-diff | 0 | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 87 |
| 0 | 34 | 85 |
| 1 | 46 | 83 |
| 2 | 65 | 83 |
| 3 | 99 | 83 |
| 4 | 121 | 83 |
| 5 | 145 | 83 |
| 6 | 190 | 83 |
| 7 | 235 | 83 |
| 8 | 283 | 83 |
| 9 | 366 | 83 |
| 10 | 469 | 83 |
| 11 | 626 | 83 |
| 12 | 838 | 83 |
| 13 | 1476 | 83 |
| 14 | 2160 | 83 |
| 15 | 2267 | 83 |
| 16 | 2413 | 83 |
| 17 | 2449 | 83 |
| 18 | 2451 | 83 |
| 19 | 2451 | 83 |
| 0 | 2451 | 83 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
(+.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))) |
x |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))) |
#s(literal -1 binary64) |
(*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))) |
(neg.f64 z) |
z |
(pow.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
(+.f64 x (/.f64 y (/.f64 z y))) |
x |
(/.f64 y (/.f64 z y)) |
y |
(/.f64 z y) |
z |
(fma.f64 (/.f64 y z) y x) |
(/.f64 y z) |
y |
z |
x |
| Outputs |
|---|
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
(+.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))) |
(-.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) z))) |
x |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) z) |
#s(literal -1 binary64) |
(*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 z)) |
(neg.f64 z) |
z |
(pow.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
(+.f64 x (/.f64 y (/.f64 z y))) |
(fma.f64 (/.f64 y z) y x) |
x |
(/.f64 y (/.f64 z y)) |
(/.f64 (*.f64 y y) z) |
y |
(/.f64 z y) |
z |
(fma.f64 (/.f64 y z) y x) |
(/.f64 y z) |
y |
z |
x |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 y z) | |
| accuracy | 0.046875 | (fma.f64 (/.f64 y z) y x) | |
| accuracy | 0.0 | (/.f64 z y) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 y (/.f64 z y))) | |
| accuracy | 0.1171875 | (/.f64 y (/.f64 z y)) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))) | |
| accuracy | 0.10546875 | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))) | |
| accuracy | 9.908125801974153 | (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 9.98026194731609 | (/.f64 (*.f64 y y) z) | |
| accuracy | 33.25908078571814 | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
| 78.0ms | 256× | 0 | valid |
Compiled 84 to 21 computations (75% saved)
ival-div: 41.0ms (73.5% of total)ival-add: 5.0ms (9% of total)ival-mult: 5.0ms (9% of total)ival-pow: 3.0ms (5.4% of total)ival-neg: 1.0ms (1.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))) |
(+.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))) |
(*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))) |
(neg.f64 z) |
(+.f64 x (/.f64 y (/.f64 z y))) |
(/.f64 y (/.f64 z y)) |
(/.f64 z y) |
(fma.f64 (/.f64 y z) y x) |
(/.f64 y z) |
| Outputs |
|---|
(/ (pow y 2) z) |
(+ x (/ (pow y 2) z)) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(pow y 2) |
(* -1 (/ z (pow y 2))) |
(/ z y) |
(/ y z) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(/ (+ (* x z) (pow y 2)) z) |
(* -1 z) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | ((+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (/ -1 (* (neg z) (pow y -2))) (+ x (/ -1 (* (neg z) (pow y -2)))) (* (neg z) (pow y -2)) (neg z) (+ x (/ y (/ z y))) (/ y (/ z y)) (/ z y) (+ (* (/ y z) y) x) (/ y z)) |
| 2.0ms | z | @ | -inf | ((+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (/ -1 (* (neg z) (pow y -2))) (+ x (/ -1 (* (neg z) (pow y -2)))) (* (neg z) (pow y -2)) (neg z) (+ x (/ y (/ z y))) (/ y (/ z y)) (/ z y) (+ (* (/ y z) y) x) (/ y z)) |
| 2.0ms | z | @ | 0 | ((+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (/ -1 (* (neg z) (pow y -2))) (+ x (/ -1 (* (neg z) (pow y -2)))) (* (neg z) (pow y -2)) (neg z) (+ x (/ y (/ z y))) (/ y (/ z y)) (/ z y) (+ (* (/ y z) y) x) (/ y z)) |
| 2.0ms | y | @ | -inf | ((+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (/ -1 (* (neg z) (pow y -2))) (+ x (/ -1 (* (neg z) (pow y -2)))) (* (neg z) (pow y -2)) (neg z) (+ x (/ y (/ z y))) (/ y (/ z y)) (/ z y) (+ (* (/ y z) y) x) (/ y z)) |
| 1.0ms | z | @ | inf | ((+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (/ -1 (* (neg z) (pow y -2))) (+ x (/ -1 (* (neg z) (pow y -2)))) (* (neg z) (pow y -2)) (neg z) (+ x (/ y (/ z y))) (/ y (/ z y)) (/ z y) (+ (* (/ y z) y) x) (/ y z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 60 |
| 1 | 68 | 60 |
| 2 | 169 | 60 |
| 3 | 542 | 60 |
| 4 | 2335 | 60 |
| 5 | 4326 | 60 |
| 6 | 6481 | 60 |
| 0 | 8115 | 55 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow y 2) z) |
(+ x (/ (pow y 2) z)) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(pow y 2) |
(* -1 (/ z (pow y 2))) |
(/ z y) |
(/ y z) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(/ (+ (* x z) (pow y 2)) z) |
(* -1 z) |
| Outputs |
|---|
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(+ x (/ (pow y 2) z)) |
(fma.f64 (/.f64 y z) y x) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(fma.f64 (/.f64 y z) y x) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(fma.f64 (/.f64 y z) y x) |
(pow y 2) |
(*.f64 y y) |
(* -1 (/ z (pow y 2))) |
(/.f64 (/.f64 (neg.f64 z) y) y) |
(/ z y) |
(/.f64 z y) |
(/ y z) |
(/.f64 y z) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(fma.f64 (/.f64 y z) y x) |
(/ (+ (* x z) (pow y 2)) z) |
(/.f64 (fma.f64 z x (*.f64 y y)) z) |
(* -1 z) |
(neg.f64 z) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 71 |
| 0 | 34 | 74 |
| 1 | 131 | 62 |
| 2 | 932 | 62 |
| 0 | 8594 | 62 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))) |
(+.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))) |
(*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))) |
(neg.f64 z) |
(+.f64 x (/.f64 y (/.f64 z y))) |
(/.f64 y (/.f64 z y)) |
(/.f64 z y) |
(fma.f64 (/.f64 y z) y x) |
(/.f64 y z) |
| Outputs |
|---|
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 y (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 y (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 y z) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (pow.f64 y #s(literal -1 binary64))) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) z)) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (neg.f64 (pow.f64 y #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y)) |
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) z) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z)) |
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 y z) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y z) y) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 y) y) z)) |
(*.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64)) |
(*.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 y (/.f64 y z)) |
(pow.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) z) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 y) z) (neg.f64 (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) z)) |
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z)) |
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) y)) |
(/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 z))) |
(/.f64 (*.f64 y y) z) |
(/.f64 y (/.f64 z y)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 y) y) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (/.f64 (*.f64 (neg.f64 y) y) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (*.f64 (neg.f64 y) y) z)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 y) y) z)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) z)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y)) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(/.f64 (*.f64 y y) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) |
(exp.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 y (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 y (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 y z) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (pow.f64 y #s(literal -1 binary64))) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) z)) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (neg.f64 (pow.f64 y #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y)) |
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) z) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z)) |
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 y z) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y z) y) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 y) y) z)) |
(*.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64)) |
(*.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 y (/.f64 y z)) |
(pow.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) z) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 y) z) (neg.f64 (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) z)) |
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z)) |
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) y)) |
(/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 z))) |
(/.f64 (*.f64 y y) z) |
(/.f64 y (/.f64 z y)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 y) y) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (/.f64 (*.f64 (neg.f64 y) y) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (*.f64 (neg.f64 y) y) z)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 y) y) z)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) z)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 (*.f64 y y) z) x)))) |
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (/.f64 (*.f64 y y) z))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x))))) |
(*.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (-.f64 (/.f64 (*.f64 y y) z) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 (*.f64 y y) z)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)) |
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(*.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 y y) z) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 y y) z) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 y y) z) x)) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 y y) z) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 y y) z) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 y y) z) x)) (*.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 y y) z) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 y y) z) x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y y) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 y y) z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y y) z))) (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y y) z))) (fma.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 y y) z))) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 y y) z))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y y) z))) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 y y) z))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 y y) z) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 (*.f64 y y) z))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 y y) z) x)) (*.f64 (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x))) (*.f64 (-.f64 (/.f64 (*.f64 y y) z) x) (-.f64 (/.f64 (*.f64 y y) z) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y y) z))) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (*.f64 (-.f64 x (/.f64 (*.f64 y y) z)) (-.f64 x (/.f64 (*.f64 y y) z)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (/.f64 (*.f64 y y) z) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (*.f64 y y) z)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x)))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 (*.f64 y y) z) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))) (-.f64 x (/.f64 (*.f64 y y) z))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (neg.f64 y) z) x) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 y (pow.f64 y #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))) x) |
(fma.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) x) |
(fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 y z) (pow.f64 y #s(literal -1/2 binary64))) x) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/2 binary64))) x) |
(fma.f64 (/.f64 y (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 y (pow.f64 y #s(literal -1 binary64))) (pow.f64 z #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) z) x) |
(fma.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z) x) |
(fma.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x) |
(fma.f64 (/.f64 (neg.f64 y) z) (/.f64 y #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 (neg.f64 y) z) (neg.f64 y) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (neg.f64 (pow.f64 y #s(literal -1 binary64)))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (/.f64 #s(literal -1 binary64) y)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y y) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y (pow.f64 y #s(literal -1 binary64))) x) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x) |
(fma.f64 (/.f64 (*.f64 (neg.f64 y) y) z) #s(literal -1 binary64) x) |
(fma.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 (*.f64 y y) z) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 y y) z) x)))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x (/.f64 (*.f64 y y) z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 y y) z))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z) x) |
(fma.f64 #s(literal 1 binary64) x (/.f64 (*.f64 y y) z)) |
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z) x) |
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) z) x) |
(fma.f64 (/.f64 y z) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 y z) y x) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 y) y) z) x) |
(fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64) x) |
(fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) x) |
(fma.f64 y (/.f64 y z) x) |
(fma.f64 x #s(literal 1 binary64) (/.f64 (*.f64 y y) z)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 y y) z) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 y y) z) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y y) z))) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 y y) z)))) |
(-.f64 x (/.f64 (*.f64 (neg.f64 y) y) z)) |
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 y y) z) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 y y) z) x)))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y y) z))) (neg.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 y y) z))))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+.f64 x (/.f64 (*.f64 y y) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) y) |
(*.f64 #s(literal 1 binary64) (/.f64 y z)) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 y z) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z)) |
(*.f64 y (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (/.f64 y z) #s(literal 1 binary64)) |
(pow.f64 (/.f64 z y) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 (/.f64 y z) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y)) |
(/.f64 y z) |
(neg.f64 (/.f64 (neg.f64 y) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 y) z)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64))) |
Compiled 3 951 to 729 computations (81.5% saved)
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 251 | 4 | 255 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 0 | 0 |
| Total | 253 | 6 | 259 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (/.f64 y z) y x) |
| ▶ | 99.9% | (+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) |
| ▶ | 99.9% | (+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y))) |
| ✓ | 39.9% | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
| ▶ | 47.9% | #s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) |
| ▶ | 48.0% | #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
Compiled 65 to 50 computations (23.1% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))) | |
| cost-diff | 1 | (+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) | |
| cost-diff | 3 | (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) | |
| cost-diff | 0 | (/.f64 (neg.f64 z) y) | |
| cost-diff | 0 | (/.f64 (/.f64 (neg.f64 z) y) y) | |
| cost-diff | 1 | (+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y))) | |
| cost-diff | 3 | (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y)) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | (/.f64 y (/.f64 z y)) | |
| cost-diff | 0 | #s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (*.f64 (/.f64 y z) y) | |
| cost-diff | 0 | #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 113 |
| 0 | 35 | 104 |
| 1 | 54 | 104 |
| 2 | 110 | 98 |
| 3 | 241 | 98 |
| 4 | 670 | 98 |
| 5 | 1738 | 98 |
| 6 | 1817 | 98 |
| 7 | 1867 | 98 |
| 8 | 1895 | 98 |
| 9 | 1899 | 98 |
| 10 | 1899 | 98 |
| 0 | 1899 | 94 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) y) |
(/.f64 y z) |
y |
z |
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) |
(/.f64 y (/.f64 z y)) |
y |
(/.f64 z y) |
z |
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y))) |
x |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y)) |
#s(literal -1 binary64) |
(/.f64 (/.f64 (neg.f64 z) y) y) |
(/.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) |
x |
(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))) |
y |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(neg.f64 z) |
z |
| Outputs |
|---|
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) y) |
(/.f64 y z) |
y |
z |
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
(/.f64 y (/.f64 z y)) |
(*.f64 (/.f64 y z) y) |
y |
(/.f64 z y) |
z |
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y))) |
(fma.f64 (/.f64 y z) y x) |
x |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y)) |
(*.f64 (/.f64 y z) y) |
#s(literal -1 binary64) |
(/.f64 (/.f64 (neg.f64 z) y) y) |
(/.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) |
(fma.f64 (/.f64 y z) y x) |
x |
(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))) |
(*.f64 (/.f64 y z) y) |
y |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) |
(/.f64 z y) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(neg.f64 z) |
z |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) | |
| accuracy | 0.1171875 | (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))) | |
| accuracy | 0.2109375 | (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y))) | |
| accuracy | 0.10546875 | (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y)) | |
| accuracy | 0.1328125 | (/.f64 (/.f64 (neg.f64 z) y) y) | |
| accuracy | 0.0 | (/.f64 z y) | |
| accuracy | 0.1171875 | (/.f64 y (/.f64 z y)) | |
| accuracy | 33.25908078571814 | #s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) | |
| accuracy | 0.0 | (/.f64 y z) | |
| accuracy | 0.08984375 | (*.f64 (/.f64 y z) y) | |
| accuracy | 33.25908078571814 | #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
| 59.0ms | 256× | 0 | valid |
Compiled 103 to 22 computations (78.6% saved)
ival-div: 34.0ms (77.3% of total)ival-mult: 5.0ms (11.4% of total)ival-add: 3.0ms (6.8% of total)ival-neg: 1.0ms (2.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) y) |
(/.f64 y z) |
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) |
(/.f64 y (/.f64 z y)) |
(/.f64 z y) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y)) |
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y))) |
(/.f64 (/.f64 (neg.f64 z) y) y) |
(/.f64 (neg.f64 z) y) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) |
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) |
(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))) |
(/.f64 #s(literal -1 binary64) y) |
(neg.f64 z) |
| Outputs |
|---|
(/ (pow y 2) z) |
(+ x (/ (pow y 2) z)) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(/ y z) |
(/ z y) |
(* -1 (/ z (pow y 2))) |
(* -1 (/ z y)) |
(/ -1 y) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(/ (+ (* x z) (pow y 2)) z) |
(* -1 z) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | ((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (+ x (/ (* y y) z)) (/ y (/ z y)) (/ z y) (/ -1 (/ (/ (neg z) y) y)) (+ x (/ -1 (/ (/ (neg z) y) y))) (/ (/ (neg z) y) y) (/ (neg z) y) (* (/ -1 y) (neg z)) (+ x (/ y (* (/ -1 y) (neg z)))) (/ y (* (/ -1 y) (neg z))) (/ -1 y) (neg z)) |
| 1.0ms | z | @ | -inf | ((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (+ x (/ (* y y) z)) (/ y (/ z y)) (/ z y) (/ -1 (/ (/ (neg z) y) y)) (+ x (/ -1 (/ (/ (neg z) y) y))) (/ (/ (neg z) y) y) (/ (neg z) y) (* (/ -1 y) (neg z)) (+ x (/ y (* (/ -1 y) (neg z)))) (/ y (* (/ -1 y) (neg z))) (/ -1 y) (neg z)) |
| 1.0ms | y | @ | inf | ((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (+ x (/ (* y y) z)) (/ y (/ z y)) (/ z y) (/ -1 (/ (/ (neg z) y) y)) (+ x (/ -1 (/ (/ (neg z) y) y))) (/ (/ (neg z) y) y) (/ (neg z) y) (* (/ -1 y) (neg z)) (+ x (/ y (* (/ -1 y) (neg z)))) (/ y (* (/ -1 y) (neg z))) (/ -1 y) (neg z)) |
| 1.0ms | z | @ | 0 | ((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (+ x (/ (* y y) z)) (/ y (/ z y)) (/ z y) (/ -1 (/ (/ (neg z) y) y)) (+ x (/ -1 (/ (/ (neg z) y) y))) (/ (/ (neg z) y) y) (/ (neg z) y) (* (/ -1 y) (neg z)) (+ x (/ y (* (/ -1 y) (neg z)))) (/ y (* (/ -1 y) (neg z))) (/ -1 y) (neg z)) |
| 1.0ms | z | @ | inf | ((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (+ x (/ (* y y) z)) (/ y (/ z y)) (/ z y) (/ -1 (/ (/ (neg z) y) y)) (+ x (/ -1 (/ (/ (neg z) y) y))) (/ (/ (neg z) y) y) (/ (neg z) y) (* (/ -1 y) (neg z)) (+ x (/ y (* (/ -1 y) (neg z)))) (/ y (* (/ -1 y) (neg z))) (/ -1 y) (neg z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 64 |
| 1 | 73 | 64 |
| 2 | 176 | 64 |
| 3 | 548 | 64 |
| 4 | 2353 | 64 |
| 5 | 4377 | 64 |
| 6 | 6540 | 64 |
| 0 | 8100 | 59 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow y 2) z) |
(+ x (/ (pow y 2) z)) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(/ y z) |
(/ z y) |
(* -1 (/ z (pow y 2))) |
(* -1 (/ z y)) |
(/ -1 y) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(/ (+ (* x z) (pow y 2)) z) |
(* -1 z) |
| Outputs |
|---|
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(+ x (/ (pow y 2) z)) |
(fma.f64 (/.f64 y z) y x) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(fma.f64 (/.f64 y z) y x) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(fma.f64 (/.f64 y z) y x) |
(/ y z) |
(/.f64 y z) |
(/ z y) |
(/.f64 z y) |
(* -1 (/ z (pow y 2))) |
(/.f64 (neg.f64 z) (*.f64 y y)) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(fma.f64 (/.f64 y z) y x) |
(/ (+ (* x z) (pow y 2)) z) |
(/.f64 (fma.f64 z x (*.f64 y y)) z) |
(* -1 z) |
(neg.f64 z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 99 |
| 0 | 35 | 90 |
| 1 | 135 | 84 |
| 2 | 1134 | 84 |
| 0 | 8815 | 80 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) y) |
(/.f64 y z) |
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) |
(/.f64 y (/.f64 z y)) |
(/.f64 z y) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y)) |
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y))) |
(/.f64 (/.f64 (neg.f64 z) y) y) |
(/.f64 (neg.f64 z) y) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) |
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) |
(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))) |
(/.f64 #s(literal -1 binary64) y) |
(neg.f64 z) |
| Outputs |
|---|
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 z) z)) z) |
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (fma.f64 z z #s(literal 0 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (*.f64 (neg.f64 y) y)) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y y)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y)) |
(*.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal -1 binary64)) |
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) y)) |
(*.f64 (*.f64 (/.f64 y z) y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) z) y)) |
(*.f64 (/.f64 y z) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y z) y) |
(*.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 y (/.f64 y z)) |
(pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z)) |
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)) |
(/.f64 (*.f64 (/.f64 y z) y) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y)) |
(/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 y y) z) |
(/.f64 y (/.f64 z y)) |
(neg.f64 (*.f64 (/.f64 (neg.f64 y) z) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (*.f64 (/.f64 (neg.f64 y) z) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (/.f64 (neg.f64 y) z) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) z) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z y) y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) (*.f64 (neg.f64 z) z)) z) |
(*.f64 (/.f64 (neg.f64 y) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (fma.f64 z z #s(literal 0 binary64))) |
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (neg.f64 y)) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) y) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) y) |
(*.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)) |
(*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 y z)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 y z) #s(literal 1 binary64)) |
(*.f64 y (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 y (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (/.f64 z y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y z) #s(literal 1 binary64)) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)) |
(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y)) |
(/.f64 (/.f64 y z) #s(literal 1 binary64)) |
(/.f64 y z) |
(neg.f64 (/.f64 (neg.f64 y) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 y) z)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64))) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 z) z)) z) |
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (fma.f64 z z #s(literal 0 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (*.f64 (neg.f64 y) y)) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y y)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y)) |
(*.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal -1 binary64)) |
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) y)) |
(*.f64 (*.f64 (/.f64 y z) y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) z) y)) |
(*.f64 (/.f64 y z) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y z) y) |
(*.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 y (/.f64 y z)) |
(pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z)) |
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)) |
(/.f64 (*.f64 (/.f64 y z) y) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y)) |
(/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 y y) z) |
(/.f64 y (/.f64 z y)) |
(neg.f64 (*.f64 (/.f64 (neg.f64 y) z) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (*.f64 (/.f64 (neg.f64 y) z) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (/.f64 (neg.f64 y) z) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) z) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z y) y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) z) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y z) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) z) |
(*.f64 #s(literal 1 binary64) (/.f64 z y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 z) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) |
(*.f64 (/.f64 (neg.f64 z) y) #s(literal -1 binary64)) |
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y)) |
(*.f64 (/.f64 z y) #s(literal 1 binary64)) |
(*.f64 z (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 z (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 z (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (/.f64 z y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y z) #s(literal -1 binary64)) |
(/.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 y)) |
(/.f64 (*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) y)) (fma.f64 z z #s(literal 0 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (/.f64 (neg.f64 z) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 y) z) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z)) (neg.f64 y)) (*.f64 (/.f64 y z) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 y) (neg.f64 z))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y z)) y) (*.f64 (/.f64 (neg.f64 y) z) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) z)) (*.f64 y y)) |
(/.f64 (*.f64 (/.f64 z y) z) z) |
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(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) y)) |
(*.f64 (*.f64 (/.f64 y z) y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) z) y)) |
(*.f64 (/.f64 y z) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y z) y) |
(*.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 y (/.f64 y z)) |
(pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z)) |
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)) |
(/.f64 (*.f64 (/.f64 y z) y) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y)) |
(/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 y y) z) |
(/.f64 y (/.f64 z y)) |
(neg.f64 (*.f64 (/.f64 (neg.f64 y) z) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (*.f64 (/.f64 (neg.f64 y) z) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (/.f64 (neg.f64 y) z) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) z) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z y) y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 y) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (neg.f64 y) #s(literal -1 binary64)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) y) |
(neg.f64 (pow.f64 y #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) |
(*.f64 #s(literal 1 binary64) (neg.f64 z)) |
(*.f64 (neg.f64 z) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) z) |
(*.f64 z #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) #s(literal 1 binary64)) z) |
(/.f64 (*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 z z #s(literal 0 binary64))) |
(/.f64 (*.f64 (neg.f64 z) z) z) |
(/.f64 (*.f64 z z) (neg.f64 z)) |
(/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 (fma.f64 z z #s(literal 0 binary64)))) |
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) #s(literal 0 binary64)))) |
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (fma.f64 z z #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) |
(neg.f64 z) |
(-.f64 (/.f64 #s(literal 0 binary64) z) z) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) z) |
(-.f64 #s(literal 0 binary64) z) |
(+.f64 #s(literal 0 binary64) (neg.f64 z)) |
Compiled 6 502 to 1 252 computations (80.7% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 366 | 2 | 368 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 2 | 2 |
| Total | 368 | 6 | 374 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (/.f64 y z) y x) |
| ✓ | 39.9% | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
| ✓ | 47.9% | #s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) |
| ▶ | 47.9% | #s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) |
| ▶ | 47.9% | #s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))) |
| ✓ | 48.0% | #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
Compiled 76 to 55 computations (27.6% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))) | |
| cost-diff | 0 | #s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) | |
| cost-diff | 3 | (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | (/.f64 (/.f64 z y) y) | |
| cost-diff | 0 | #s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 71 |
| 0 | 24 | 66 |
| 1 | 41 | 66 |
| 2 | 77 | 58 |
| 3 | 149 | 58 |
| 4 | 455 | 58 |
| 5 | 1202 | 58 |
| 6 | 1482 | 58 |
| 7 | 1572 | 58 |
| 8 | 1609 | 58 |
| 9 | 1613 | 58 |
| 10 | 1613 | 58 |
| 0 | 1613 | 56 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 z y) y) |
(/.f64 z y) |
z |
y |
#s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) |
(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))) |
y |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(neg.f64 z) |
z |
| Outputs |
|---|
#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)) |
(/.f64 (*.f64 y y) z) |
#s(literal 1 binary64) |
(/.f64 (/.f64 z y) y) |
(/.f64 z y) |
z |
y |
#s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))) |
(/.f64 (*.f64 y y) z) |
y |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) |
(/.f64 z y) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(neg.f64 z) |
z |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 0.1171875 | (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))) | |
| accuracy | 0.2109375 | (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) | |
| accuracy | 33.25908078571814 | #s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) | |
| accuracy | 0.0 | (/.f64 z y) | |
| accuracy | 0.10546875 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)) | |
| accuracy | 0.1328125 | (/.f64 (/.f64 z y) y) | |
| accuracy | 33.25908078571814 | #s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))) |
| 30.0ms | 256× | 0 | valid |
Compiled 56 to 17 computations (69.6% saved)
ival-div: 11.0ms (59.5% of total)ival-mult: 4.0ms (21.6% of total)ival-add: 1.0ms (5.4% of total)ival-neg: 1.0ms (5.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)) |
#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))) |
(/.f64 (/.f64 z y) y) |
(/.f64 z y) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) |
#s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) |
(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))) |
(/.f64 #s(literal -1 binary64) y) |
(neg.f64 z) |
| Outputs |
|---|
(/ (pow y 2) z) |
(+ x (/ (pow y 2) z)) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(/ z (pow y 2)) |
(/ z y) |
(/ -1 y) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(/ (+ (* x z) (pow y 2)) z) |
(* -1 z) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | ((/ 1 (/ (/ z y) y)) (+ x (/ (* y y) z)) (/ (/ z y) y) (/ z y) (* (/ -1 y) (neg z)) (+ x (/ (* y y) z)) (/ y (* (/ -1 y) (neg z))) (/ -1 y) (neg z)) |
| 1.0ms | z | @ | inf | ((/ 1 (/ (/ z y) y)) (+ x (/ (* y y) z)) (/ (/ z y) y) (/ z y) (* (/ -1 y) (neg z)) (+ x (/ (* y y) z)) (/ y (* (/ -1 y) (neg z))) (/ -1 y) (neg z)) |
| 1.0ms | y | @ | 0 | ((/ 1 (/ (/ z y) y)) (+ x (/ (* y y) z)) (/ (/ z y) y) (/ z y) (* (/ -1 y) (neg z)) (+ x (/ (* y y) z)) (/ y (* (/ -1 y) (neg z))) (/ -1 y) (neg z)) |
| 1.0ms | y | @ | -inf | ((/ 1 (/ (/ z y) y)) (+ x (/ (* y y) z)) (/ (/ z y) y) (/ z y) (* (/ -1 y) (neg z)) (+ x (/ (* y y) z)) (/ y (* (/ -1 y) (neg z))) (/ -1 y) (neg z)) |
| 1.0ms | y | @ | inf | ((/ 1 (/ (/ z y) y)) (+ x (/ (* y y) z)) (/ (/ z y) y) (/ z y) (* (/ -1 y) (neg z)) (+ x (/ (* y y) z)) (/ y (* (/ -1 y) (neg z))) (/ -1 y) (neg z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 56 |
| 1 | 64 | 56 |
| 2 | 157 | 56 |
| 3 | 508 | 56 |
| 4 | 2273 | 56 |
| 5 | 4248 | 56 |
| 6 | 6339 | 56 |
| 0 | 8011 | 51 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow y 2) z) |
(+ x (/ (pow y 2) z)) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(/ z (pow y 2)) |
(/ z y) |
(/ -1 y) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(/ (+ (* x z) (pow y 2)) z) |
(* -1 z) |
| Outputs |
|---|
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(+ x (/ (pow y 2) z)) |
(fma.f64 (/.f64 y z) y x) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(fma.f64 (/.f64 y z) y x) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(fma.f64 (/.f64 y z) y x) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z y) |
(/.f64 z y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(fma.f64 (/.f64 y z) y x) |
(/ (+ (* x z) (pow y 2)) z) |
(/.f64 (fma.f64 x z (*.f64 y y)) z) |
(* -1 z) |
(neg.f64 z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 65 |
| 0 | 24 | 52 |
| 1 | 91 | 52 |
| 2 | 630 | 52 |
| 3 | 6391 | 52 |
| 0 | 8149 | 50 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)) |
#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))) |
(/.f64 (/.f64 z y) y) |
(/.f64 z y) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) |
#s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) |
(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))) |
(/.f64 #s(literal -1 binary64) y) |
(neg.f64 z) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 z) z)) z) |
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 z z)) |
(*.f64 (*.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)) y) |
(*.f64 (/.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)) (neg.f64 y)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (*.f64 (neg.f64 y) y)) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y y)) |
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 y)) |
(*.f64 (/.f64 y (/.f64 (neg.f64 z) y)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y)) |
(*.f64 (/.f64 y z) y) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64))) |
(*.f64 (neg.f64 y) (/.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64))) |
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) z)) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal -1 binary64) (/.f64 y (/.f64 (neg.f64 z) y))) |
(*.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64)) |
(*.f64 (*.f64 y y) (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 y (/.f64 y z)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (/.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (/.f64 y (/.f64 (neg.f64 z) y)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) y)) |
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 z))) |
(/.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64)) |
(/.f64 (*.f64 y y) z) |
(/.f64 y (/.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)) |
(neg.f64 (/.f64 y (/.f64 (neg.f64 z) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (/.f64 y (/.f64 (neg.f64 z) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 y (/.f64 (neg.f64 z) y))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 (neg.f64 z) y))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal -2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) z)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (/.f64 (*.f64 y y) z))) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) z) |
(*.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (/.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 z) y)) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
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(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 (neg.f64 z) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) z) |
(*.f64 z #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 z)) |
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) #s(literal 1 binary64)) z) |
(/.f64 (*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 z z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z)) z) |
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 z z)) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 (neg.f64 z) z)) |
(/.f64 (*.f64 (neg.f64 z) z) z) |
(/.f64 (*.f64 z z) (neg.f64 z)) |
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 0 binary64) (neg.f64 z))))) |
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (*.f64 z z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) |
(neg.f64 z) |
(fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 z #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 z) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) z #s(literal 0 binary64)) |
(fma.f64 z #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 z) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) z) z) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))) |
(-.f64 #s(literal 0 binary64) z) |
(+.f64 #s(literal 0 binary64) (neg.f64 z)) |
(+.f64 (neg.f64 z) #s(literal 0 binary64)) |
Compiled 3 904 to 781 computations (80% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 208 | 0 | 208 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 4 | 4 |
| Total | 208 | 6 | 214 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (/.f64 y z) y x) |
| ✓ | 39.9% | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
| ✓ | 47.9% | #s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) |
| ✓ | 47.9% | #s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) |
| ✓ | 47.9% | #s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))) |
| ✓ | 48.0% | #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
Compiled 196 to 93 computations (52.6% saved)
| Inputs |
|---|
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(fma.f64 (/.f64 y z) y x) |
(+.f64 x (/.f64 (*.f64 y y) z)) |
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) |
(+.f64 x (/.f64 y (/.f64 z y))) |
#s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) |
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) |
#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))) |
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y))) |
(+.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))) |
| Outputs |
|---|
(fma.f64 (/.f64 y z) y x) |
6 calls:
| 3.0ms | x |
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 3.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 99.9% | 1 | (/.f64 (*.f64 y y) z) |
| 99.9% | 1 | (*.f64 y y) |
Compiled 18 to 24 computations (-33.3% saved)
Total -5.2b remaining (-15.5%)
Threshold costs -5.2b (-15.5%)
| Inputs |
|---|
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
| Outputs |
|---|
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
6 calls:
| 43.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 1.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.0% | 1 | x |
| 48.0% | 1 | y |
| 48.0% | 1 | z |
| 48.0% | 1 | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 48.0% | 1 | (/.f64 (*.f64 y y) z) |
| 48.0% | 1 | (*.f64 y y) |
Compiled 18 to 24 computations (-33.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 19 |
| 1 | 13 | 19 |
| 2 | 14 | 19 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (/.f64 y z) y x) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
| Outputs |
|---|
(fma.f64 (/.f64 y z) y x) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 46 |
| 1 | 58 | 46 |
| 2 | 150 | 46 |
| 3 | 497 | 46 |
| 4 | 2221 | 46 |
| 5 | 4156 | 46 |
| 6 | 6187 | 46 |
| 7 | 7922 | 46 |
| 0 | 8207 | 41 |
| 0 | 21 | 71 |
| 0 | 34 | 74 |
| 1 | 131 | 62 |
| 2 | 932 | 62 |
| 0 | 8594 | 62 |
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 35 | 15 |
| 2 | 269 | 15 |
| 3 | 4546 | 15 |
| 0 | 8188 | 14 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 50 to 32 computations (36% saved)
(abs y)
Compiled 78 to 54 computations (30.8% saved)
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