
Time bar (total: 2.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 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)
| 509.0ms | 8 256× | 0 | valid |
ival-div: 97.0ms (40% of total)ival-mult: 93.0ms (38.4% of total)ival-add: 42.0ms (17.3% of total)ival-true: 6.0ms (2.5% of total)ival-assert: 4.0ms (1.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 42 | 1 | (1.3697504079302678e+54 -4.4377773176181947e-308 3.4626051524867637e-292) | 3 | (-7.755873426996602e+197 -2.132415377757506e-156 -4.609396467811824e-306) | (/.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 | 19 | 0 |
| ↳ | (*.f64 y y) | overflow | 61 | |
/.f64 | (/.f64 (*.f64 y y) z) | u/n | 7 | 0 |
| ↳ | (*.f64 y y) | underflow | 63 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 24 | 1 |
| - | 2 | 229 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 24 | 0 | 1 |
| - | 2 | 0 | 229 |
| number | freq |
|---|---|
| 0 | 230 |
| 1 | 26 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 30.0ms | 512× | 0 | valid |
Compiled 65 to 28 computations (56.9% saved)
ival-add: 9.0ms (54.3% of total)ival-mult: 4.0ms (24.1% of total)ival-div: 3.0ms (18.1% 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 |
|---|---|---|
| ▶ | 91.1% | (+.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 | 128 | (+.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 | 9.123103339666034 | (/.f64 (*.f64 y y) z) |
| 18.0ms | 256× | 0 | valid |
Compiled 38 to 14 computations (63.2% saved)
ival-div: 2.0ms (40.1% of total)ival-mult: 2.0ms (40.1% of total)ival-add: 1.0ms (20% 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 | |
|---|---|---|---|---|
| 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 | y | @ | -inf | ((+ 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)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 146 | 5 | 151 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 147 | 5 | 152 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (/.f64 y z) y x) |
| ▶ | 91.1% | (fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x) |
| ▶ | 99.9% | (fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x) |
| ▶ | 99.9% | (+.f64 x (/.f64 y (/.f64 z y))) |
| ▶ | 40.4% | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
Compiled 88 to 72 computations (18.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 128 | (+.f64 x (/.f64 y (/.f64 z y))) | |
| cost-diff | 384 | (/.f64 y (/.f64 z y)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) y) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) | |
| cost-diff | 448 | (fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 192 | (*.f64 y (/.f64 #s(literal -1 binary64) z)) | |
| cost-diff | 256 | (fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x) | |
| 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)) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (fma.f64 (/.f64 y z) y x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 98 |
| 0 | 37 | 90 |
| 1 | 58 | 89 |
| 2 | 97 | 89 |
| 3 | 169 | 89 |
| 4 | 317 | 89 |
| 5 | 453 | 89 |
| 6 | 902 | 89 |
| 7 | 1418 | 89 |
| 8 | 1899 | 89 |
| 9 | 2092 | 89 |
| 10 | 2188 | 89 |
| 11 | 2228 | 89 |
| 12 | 2230 | 89 |
| 0 | 2230 | 89 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 y z) y x) |
(/.f64 y z) |
y |
z |
x |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x) |
(neg.f64 y) |
y |
(*.f64 y (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
x |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
x |
(+.f64 x (/.f64 y (/.f64 z y))) |
x |
(/.f64 y (/.f64 z y)) |
y |
(/.f64 z y) |
z |
| Outputs |
|---|
(fma.f64 (/.f64 y z) y x) |
(/.f64 y z) |
y |
z |
x |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x) |
(fma.f64 (/.f64 y z) y x) |
(neg.f64 y) |
y |
(*.f64 y (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (neg.f64 y) z) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
x |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x) |
(fma.f64 (/.f64 y z) y x) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
x |
(+.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 |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 z y) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 y (/.f64 z y))) | |
| accuracy | 0.12109375 | (/.f64 y (/.f64 z y)) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) z) | |
| accuracy | 0.0 | (*.f64 (neg.f64 y) y) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 5.677656220989214 | (fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) z) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.0546875 | (fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x) | |
| accuracy | 0.1640625 | (*.f64 y (/.f64 #s(literal -1 binary64) z)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 9.123103339666034 | (/.f64 (*.f64 y y) z) | |
| accuracy | 32.717509114716094 | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) | |
| accuracy | 0.0 | (/.f64 y z) | |
| accuracy | 0.0546875 | (fma.f64 (/.f64 y z) y x) |
| 138.0ms | 256× | 0 | valid |
Compiled 195 to 44 computations (77.4% saved)
ival-mult: 104.0ms (83.9% of total)ival-div: 10.0ms (8.1% of total)ival-add: 8.0ms (6.5% of total)ival-neg: 1.0ms (0.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 y z) y x) |
(/.f64 y z) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x) |
(*.f64 y (/.f64 #s(literal -1 binary64) z)) |
(neg.f64 y) |
(/.f64 #s(literal -1 binary64) z) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x) |
(*.f64 (neg.f64 y) y) |
(/.f64 y (/.f64 z y)) |
(+.f64 x (/.f64 y (/.f64 z y))) |
(/.f64 z 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))) |
(/ y z) |
(pow y 2) |
(* -1 (/ y z)) |
(* -1 y) |
(* -1 (pow y 2)) |
(/ z y) |
(* (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 | @ | -inf | ((+ (* (/ y z) y) x) (/ y z) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (neg y) (* y (/ -1 z))) x) (* y (/ -1 z)) (neg y) (/ -1 z) (+ (* (/ -1 z) (* (neg y) y)) x) (* (neg y) y) (/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y)) |
| 2.0ms | y | @ | 0 | ((+ (* (/ y z) y) x) (/ y z) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (neg y) (* y (/ -1 z))) x) (* y (/ -1 z)) (neg y) (/ -1 z) (+ (* (/ -1 z) (* (neg y) y)) x) (* (neg y) y) (/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y)) |
| 2.0ms | y | @ | inf | ((+ (* (/ y z) y) x) (/ y z) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (neg y) (* y (/ -1 z))) x) (* y (/ -1 z)) (neg y) (/ -1 z) (+ (* (/ -1 z) (* (neg y) y)) x) (* (neg y) y) (/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y)) |
| 1.0ms | z | @ | inf | ((+ (* (/ y z) y) x) (/ y z) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (neg y) (* y (/ -1 z))) x) (* y (/ -1 z)) (neg y) (/ -1 z) (+ (* (/ -1 z) (* (neg y) y)) x) (* (neg y) y) (/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y)) |
| 1.0ms | z | @ | 0 | ((+ (* (/ y z) y) x) (/ y z) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (neg y) (* y (/ -1 z))) x) (* y (/ -1 z)) (neg y) (/ -1 z) (+ (* (/ -1 z) (* (neg y) y)) x) (* (neg y) y) (/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 65 |
| 1 | 70 | 65 |
| 2 | 166 | 65 |
| 3 | 543 | 65 |
| 4 | 2413 | 65 |
| 5 | 4462 | 65 |
| 6 | 6604 | 65 |
| 0 | 8171 | 60 |
| 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) |
(pow y 2) |
(* -1 (/ y z)) |
(* -1 y) |
(* -1 (pow y 2)) |
(/ z 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) |
(pow y 2) |
(*.f64 y y) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(* -1 y) |
(neg.f64 y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(/ z y) |
(/.f64 z 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) |
(/.f64 #s(literal -1 binary64) z) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 77 |
| 0 | 37 | 69 |
| 1 | 148 | 68 |
| 2 | 883 | 68 |
| 0 | 9237 | 68 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 y z) y x) |
(/.f64 y z) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x) |
(*.f64 y (/.f64 #s(literal -1 binary64) z)) |
(neg.f64 y) |
(/.f64 #s(literal -1 binary64) z) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x) |
(*.f64 (neg.f64 y) y) |
(/.f64 y (/.f64 z y)) |
(+.f64 x (/.f64 y (/.f64 z y))) |
(/.f64 z y) |
| Outputs |
|---|
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (/.f64 y z) y) x)))) |
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x (*.f64 (/.f64 y z) y)))) |
(*.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 z) y))))))) |
(*.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 z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (*.f64 (/.f64 y z) y) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (*.f64 (/.f64 y z) y)) #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 z) y)))) #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 z) y) (-.f64 (*.f64 (/.f64 y z) y) 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 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y z) y) x)) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y z) y) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x)))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y z) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y z) y))) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y z) y)))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 y z) y))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 y z) y))))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y z) y))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 y z) y))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y z) y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y z) y) x)) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y z) y) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y z) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y z) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 y z) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y z) y))) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y z) y))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 y z) y))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 y z) y))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y z) y))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 y z) y))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 y z) y) x)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (/.f64 y z) y)))) |
(/.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 z) y))))))) |
(/.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 z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y z) y) x)) (*.f64 (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (/.f64 y z) y) x) (-.f64 (*.f64 (/.f64 y z) y) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y z) y))) (*.f64 (-.f64 x (*.f64 (/.f64 y z) y)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)))) (*.f64 (-.f64 x (*.f64 (/.f64 y z) y)) (-.f64 x (*.f64 (/.f64 y z) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (/.f64 y z) y) x))) |
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) x (*.f64 (/.f64 y z) y))) |
(/.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 z) y)))))) |
(/.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 z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (/.f64 y z) y) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 y z) y))) |
(/.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 z) y))))) |
(/.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 z) y) (-.f64 (*.f64 (/.f64 y z) y) 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)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (*.f64 x x))) (-.f64 (*.f64 (/.f64 y z) y) x))) |
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 y z) y)))) |
(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 z) y)))))) |
(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 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (*.f64 x x)) (neg.f64 (-.f64 (*.f64 (/.f64 y z) y) x)))) |
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) x (*.f64 (/.f64 y z) y)))) |
(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 z) y))))))) |
(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 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))))) |
(fma.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)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (neg.f64 y) z) 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 (/.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 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (neg.f64 y) z) x) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) z) x) |
(fma.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 y (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z) x) |
(fma.f64 (/.f64 y (pow.f64 y #s(literal -1 binary64))) (pow.f64 z #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal -1 binary64) x) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) 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)) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) y) #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x) |
(fma.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (/.f64 y z) y) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x)))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x (*.f64 (/.f64 y z) y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 y z) y))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) y) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 y z) y)) |
(fma.f64 (*.f64 (neg.f64 y) y) (/.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) (/.f64 #s(literal -1 binary64) (pow.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 (*.f64 y 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 (neg.f64 y) y) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) z) y) x) |
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) z) x) |
(fma.f64 (*.f64 (/.f64 y z) y) #s(literal 1 binary64) x) |
(fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 y z) y)) |
(fma.f64 (/.f64 y z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) 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 y (/.f64 y z) x) |
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 (/.f64 (neg.f64 y) z) y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y z) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y z) y))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 y z) y)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) y) x)) |
(-.f64 x (*.f64 (/.f64 (neg.f64 y) z) y)) |
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(/.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 z) y))))))) |
(/.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 z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y z) y) x)) (*.f64 (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (/.f64 y z) y) x) (-.f64 (*.f64 (/.f64 y z) y) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y z) y))) (*.f64 (-.f64 x (*.f64 (/.f64 y z) y)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)))) (*.f64 (-.f64 x (*.f64 (/.f64 y z) y)) (-.f64 x (*.f64 (/.f64 y z) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (/.f64 y z) y) x))) |
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) x (*.f64 (/.f64 y z) y))) |
(/.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 z) y)))))) |
(/.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 z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (/.f64 y z) y) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 y z) y))) |
(/.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 z) y))))) |
(/.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 z) y) (-.f64 (*.f64 (/.f64 y z) y) 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)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (*.f64 x x))) (-.f64 (*.f64 (/.f64 y z) y) x))) |
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 y z) y)))) |
(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 z) y)))))) |
(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 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (*.f64 x x)) (neg.f64 (-.f64 (*.f64 (/.f64 y z) y) x)))) |
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) x (*.f64 (/.f64 y z) y)))) |
(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 z) y))))))) |
(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 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))))) |
(fma.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)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (neg.f64 y) z) 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 (/.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 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (neg.f64 y) z) x) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) z) x) |
(fma.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 y (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z) x) |
(fma.f64 (/.f64 y (pow.f64 y #s(literal -1 binary64))) (pow.f64 z #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal -1 binary64) x) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) 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)) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) y) #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x) |
(fma.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (/.f64 y z) y) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x)))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x (*.f64 (/.f64 y z) y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 y z) y))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) y) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 y z) y)) |
(fma.f64 (*.f64 (neg.f64 y) y) (/.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) (/.f64 #s(literal -1 binary64) (pow.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 (*.f64 y 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 (neg.f64 y) y) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) z) y) x) |
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) z) x) |
(fma.f64 (*.f64 (/.f64 y z) y) #s(literal 1 binary64) x) |
(fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 y z) y)) |
(fma.f64 (/.f64 y z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) 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 y (/.f64 y z) x) |
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 (/.f64 (neg.f64 y) z) y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y z) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y z) y))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 y z) y)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) y) x)) |
(-.f64 x (*.f64 (/.f64 (neg.f64 y) z) y)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y z) y) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x)))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y z) y))) (neg.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 y z) y))))) |
(+.f64 (*.f64 (/.f64 y z) y) x) |
(+.f64 x (*.f64 (/.f64 y z) y)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) z) |
(*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y z) #s(literal -1/2 binary64))) |
(*.f64 (pow.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) y) (neg.f64 z)) |
(*.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 (neg.f64 z) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 z y)) |
(*.f64 (/.f64 z y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y)) |
(*.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 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (/.f64 (neg.f64 z) y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 z) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/.f64 (/.f64 z y) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z)) |
(/.f64 z y) |
(neg.f64 (/.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 z) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 z) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal -1 binary64))) |
Compiled 4 892 to 804 computations (83.6% saved)
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 319 | 4 | 323 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 322 | 6 | 328 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (/.f64 y z) y x) |
| ✓ | 40.4% | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
| ▶ | 48.8% | #s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) |
| ▶ | 48.8% | #s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))) |
| ▶ | 48.8% | #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
| ▶ | 40.4% | #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y))) |
Compiled 76 to 55 computations (27.6% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | #s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) | |
| cost-diff | 384 | (/.f64 y (/.f64 z y)) | |
| 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 | 1088 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) 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)) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) y) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) | |
| cost-diff | 0 | #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y))) | |
| cost-diff | 448 | (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 115 |
| 0 | 32 | 129 |
| 1 | 49 | 121 |
| 2 | 83 | 105 |
| 3 | 163 | 105 |
| 4 | 317 | 105 |
| 5 | 465 | 105 |
| 6 | 756 | 105 |
| 7 | 1419 | 105 |
| 8 | 2167 | 105 |
| 9 | 2252 | 105 |
| 10 | 2318 | 105 |
| 11 | 2350 | 105 |
| 12 | 2350 | 105 |
| 0 | 2350 | 101 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
#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 #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 z y))) |
(/.f64 y (/.f64 z y)) |
y |
(/.f64 z y) |
z |
| Outputs |
|---|
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y))) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 y y) z) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(*.f64 (/.f64 y z) y) |
(/.f64 (*.f64 y y) z) |
(/.f64 y z) |
y |
z |
#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 z y))) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(/.f64 y (/.f64 z y)) |
(/.f64 (*.f64 y y) z) |
y |
(/.f64 z y) |
z |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 z y) | |
| accuracy | 0.12109375 | (/.f64 y (/.f64 z y)) | |
| accuracy | 32.717509114716094 | #s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) | |
| accuracy | 0.0 | (/.f64 z y) | |
| accuracy | 0.109375 | (/.f64 (/.f64 z y) y) | |
| accuracy | 0.5930301088114875 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)) | |
| accuracy | 32.717509114716094 | #s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))) | |
| accuracy | 0.0 | (/.f64 y z) | |
| accuracy | 0.12109375 | (*.f64 (/.f64 y z) y) | |
| accuracy | 32.717509114716094 | #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) | |
| accuracy | 0.0 | (*.f64 (neg.f64 y) y) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 9.150451710845058 | (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y)) | |
| accuracy | 32.717509114716094 | #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y))) |
| 35.0ms | 256× | 0 | valid |
Compiled 203 to 42 computations (79.3% saved)
ival-div: 14.0ms (60.5% of total)ival-mult: 6.0ms (25.9% of total)ival-add: 1.0ms (4.3% of total)ival-neg: 1.0ms (4.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y)) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y))) |
(/.f64 #s(literal -1 binary64) z) |
(*.f64 (neg.f64 y) y) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) y) |
(/.f64 y z) |
(/.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 y (/.f64 z y)) |
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) |
(neg.f64 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))) |
(* -1 (pow y 2)) |
(/ y z) |
(/ 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 | |
|---|---|---|---|---|
| 11.0ms | z | @ | 0 | ((* (/ -1 z) (* (neg y) y)) (+ x (/ (* y y) z)) (/ -1 z) (* (neg y) y) (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (/ 1 (/ (/ z y) y)) (+ x (/ (* y y) z)) (/ (/ z y) y) (/ z y) (/ y (/ z y)) (+ x (/ (* y y) z)) (neg y)) |
| 1.0ms | z | @ | -inf | ((* (/ -1 z) (* (neg y) y)) (+ x (/ (* y y) z)) (/ -1 z) (* (neg y) y) (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (/ 1 (/ (/ z y) y)) (+ x (/ (* y y) z)) (/ (/ z y) y) (/ z y) (/ y (/ z y)) (+ x (/ (* y y) z)) (neg y)) |
| 1.0ms | y | @ | -inf | ((* (/ -1 z) (* (neg y) y)) (+ x (/ (* y y) z)) (/ -1 z) (* (neg y) y) (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (/ 1 (/ (/ z y) y)) (+ x (/ (* y y) z)) (/ (/ z y) y) (/ z y) (/ y (/ z y)) (+ x (/ (* y y) z)) (neg y)) |
| 1.0ms | y | @ | inf | ((* (/ -1 z) (* (neg y) y)) (+ x (/ (* y y) z)) (/ -1 z) (* (neg y) y) (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (/ 1 (/ (/ z y) y)) (+ x (/ (* y y) z)) (/ (/ z y) y) (/ z y) (/ y (/ z y)) (+ x (/ (* y y) z)) (neg y)) |
| 1.0ms | z | @ | inf | ((* (/ -1 z) (* (neg y) y)) (+ x (/ (* y y) z)) (/ -1 z) (* (neg y) y) (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (/ 1 (/ (/ z y) y)) (+ x (/ (* y y) z)) (/ (/ z y) y) (/ z y) (/ y (/ z y)) (+ x (/ (* y y) z)) (neg y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 63 |
| 1 | 67 | 63 |
| 2 | 161 | 63 |
| 3 | 543 | 63 |
| 4 | 2487 | 63 |
| 5 | 4479 | 63 |
| 6 | 6640 | 63 |
| 0 | 8112 | 58 |
| 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))) |
(* -1 (pow y 2)) |
(/ y z) |
(/ 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) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(/ y z) |
(/.f64 y z) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z y) |
(/.f64 z y) |
(* -1 y) |
(neg.f64 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) |
(/.f64 #s(literal -1 binary64) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 102 |
| 0 | 32 | 116 |
| 1 | 94 | 92 |
| 2 | 662 | 92 |
| 0 | 8556 | 88 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y)) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y))) |
(/.f64 #s(literal -1 binary64) z) |
(*.f64 (neg.f64 y) y) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) y) |
(/.f64 y z) |
(/.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 y (/.f64 z y)) |
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) |
(neg.f64 y) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (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 y z) #s(literal -1 binary64)) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) (pow.f64 z #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 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z)) |
(*.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 (/.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) 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 (pow.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) z)) |
(*.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #s(literal 1 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 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 y) z) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 y)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) 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)) (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 #s(literal 1 binary64) (/.f64 (*.f64 y y) z)) |
(*.f64 (/.f64 y z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 y 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 (*.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 (/.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 y (/.f64 y z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 y) (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 (neg.f64 y) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) z) y)) |
(pow.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) z) y))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) (neg.f64 z)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (neg.f64 z) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) z) |
(/.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) z) |
(/.f64 (/.f64 y (/.f64 #s(literal -1 binary64) y)) (neg.f64 z)) |
(/.f64 (/.f64 y (pow.f64 y #s(literal -1 binary64))) z) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (*.f64 (/.f64 (neg.f64 z) y) y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) |
(/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 y y)) |
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) y) |
(/.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) z) y))) |
(/.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (*.f64 (/.f64 (neg.f64 z) y) (*.f64 y y))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)) |
(/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64)) |
(/.f64 (*.f64 y y) z) |
(/.f64 (*.f64 (neg.f64 y) y) (*.f64 (/.f64 (neg.f64 z) y) y)) |
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z)) |
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) y)) |
(/.f64 y (/.f64 z y)) |
(/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (neg.f64 y) y))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 y) z) y)) |
(fma.f64 (/.f64 (neg.f64 y) z) #s(literal 0 binary64) (/.f64 (*.f64 y y) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) z) y)) |
(exp.f64 (log.f64 (/.f64 (*.f64 y y) z))) |
(+.f64 (*.f64 (/.f64 (neg.f64 y) z) #s(literal 0 binary64)) (/.f64 (*.f64 y y) z)) |
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) z)) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 z) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (neg.f64 z) #s(literal -1 binary64)) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) z) |
(neg.f64 (pow.f64 z #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)) |
(*.f64 (*.f64 y y) #s(literal -1 binary64)) |
(*.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) y) |
(*.f64 y (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) (*.f64 y y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 y y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 y y))))) |
(/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 y y)) |
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) y) |
(neg.f64 (*.f64 y y)) |
(-.f64 #s(literal 0 binary64) (*.f64 y y)) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (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 y z) #s(literal -1 binary64)) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) (pow.f64 z #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 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z)) |
(*.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 (/.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) 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 (pow.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) z)) |
(*.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #s(literal 1 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 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 y) z) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 y)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) 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)) (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 #s(literal 1 binary64) (/.f64 (*.f64 y y) z)) |
(*.f64 (/.f64 y z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 y 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 (*.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 (/.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 y (/.f64 y z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 y) (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 (neg.f64 y) y) #s(literal 1 binary64))) |
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(*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 z (pow.f64 y #s(literal -2 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 z (*.f64 (neg.f64 y) y)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (neg.f64 y) y))) |
(pow.f64 (/.f64 (/.f64 z y) y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (*.f64 y y) z) #s(literal -1 binary64)) |
(/.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (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 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64)) (neg.f64 y)) |
(/.f64 (/.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64)) (neg.f64 y)) |
(/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) z)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y z)) |
(/.f64 (/.f64 (neg.f64 z) y) (neg.f64 y)) |
(/.f64 (/.f64 z (*.f64 (neg.f64 y) y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 z) (*.f64 (neg.f64 y) y)) |
(/.f64 (/.f64 (/.f64 z y) y) #s(literal 1 binary64)) |
(/.f64 (/.f64 z y) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z)) |
(/.f64 z (*.f64 y y)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) z) y)) |
(neg.f64 (/.f64 z (*.f64 (neg.f64 y) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) (/.f64 z (*.f64 (neg.f64 y) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 z (*.f64 (neg.f64 y) y))) |
(-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 (neg.f64 y) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z y) y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) z)) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (/.f64 (/.f64 z y) y))) |
(*.f64 (/.f64 (neg.f64 z) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 y y)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) z) |
(*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y z) #s(literal -1/2 binary64))) |
(*.f64 (pow.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) y) (neg.f64 z)) |
(*.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 (/.f64 (neg.f64 z) y) #s(literal -1 binary64)) |
(*.f64 (neg.f64 z) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (/.f64 z y) y) y) |
(*.f64 (/.f64 z y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 z y)) |
(*.f64 z (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y)) |
(pow.f64 (/.f64 z y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y z) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (/.f64 (neg.f64 z) y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 z) (neg.f64 y)) |
(/.f64 (/.f64 z y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/.f64 z y) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z)) |
(neg.f64 (*.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 z) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 z) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (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 y z) #s(literal -1 binary64)) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) (pow.f64 z #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 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z)) |
(*.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 (/.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) 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 (pow.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) z)) |
(*.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #s(literal 1 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 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 y) z) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 y)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) 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)) (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 #s(literal 1 binary64) (/.f64 (*.f64 y y) z)) |
(*.f64 (/.f64 y z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 y 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 (*.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 (/.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 y (/.f64 y z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 y) (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 (neg.f64 y) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) z) y)) |
(pow.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) z) y))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) (neg.f64 z)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (neg.f64 z) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) z) |
(/.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) z) |
(/.f64 (/.f64 y (/.f64 #s(literal -1 binary64) y)) (neg.f64 z)) |
(/.f64 (/.f64 y (pow.f64 y #s(literal -1 binary64))) z) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (*.f64 (/.f64 (neg.f64 z) y) y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) |
(/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 y y)) |
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) y) |
(/.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) z) y))) |
(/.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (*.f64 (/.f64 (neg.f64 z) y) (*.f64 y y))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)) |
(/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64)) |
(/.f64 (*.f64 y y) z) |
(/.f64 (*.f64 (neg.f64 y) y) (*.f64 (/.f64 (neg.f64 z) y) y)) |
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z)) |
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) y)) |
(/.f64 y (/.f64 z y)) |
(/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (neg.f64 y) y))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 y) z) y)) |
(fma.f64 (/.f64 (neg.f64 y) z) #s(literal 0 binary64) (/.f64 (*.f64 y y) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) z) y)) |
(exp.f64 (log.f64 (/.f64 (*.f64 y y) z))) |
(+.f64 (*.f64 (/.f64 (neg.f64 y) z) #s(literal 0 binary64)) (/.f64 (*.f64 y y) z)) |
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) z)) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (neg.f64 y) (/.f64 y y)) |
(*.f64 (neg.f64 y) #s(literal 1 binary64)) |
(*.f64 y (/.f64 (neg.f64 y) y)) |
(*.f64 y #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) y) |
(/.f64 (*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y y)) |
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64)))) |
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (*.f64 y y)) |
(/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (neg.f64 y) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) |
(/.f64 (*.f64 y y) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 y) y) y) |
(neg.f64 y) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 y #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 y) (/.f64 y y) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 y (/.f64 (neg.f64 y) y) #s(literal 0 binary64)) |
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) y) |
(-.f64 (/.f64 #s(literal 0 binary64) y) y) |
(-.f64 #s(literal 0 binary64) y) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
(+.f64 (neg.f64 y) #s(literal 0 binary64)) |
Compiled 5 867 to 1 055 computations (82% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 325 | 0 | 325 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 2 | 2 |
| Total | 325 | 6 | 331 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (/.f64 y z) y x) |
| ✓ | 40.4% | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
| ✓ | 48.8% | #s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) |
| ✓ | 48.8% | #s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))) |
| ✓ | 48.8% | #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
| ✓ | 40.4% | #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y))) |
Compiled 184 to 86 computations (53.3% 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))) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y))) |
(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x) |
(+.f64 x (/.f64 y (/.f64 z y))) |
#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))) |
| Outputs |
|---|
(fma.f64 (/.f64 y z) y x) |
6 calls:
| 4.0ms | (/.f64 (*.f64 y y) z) |
| 3.0ms | x |
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 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 -5.4b remaining (-16.5%)
Threshold costs -5.4b (-16.5%)
| 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:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 1.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.8% | 1 | x |
| 48.8% | 1 | y |
| 48.8% | 1 | z |
| 48.8% | 1 | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 48.8% | 1 | (/.f64 (*.f64 y y) z) |
| 48.8% | 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 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 35 | 15 |
| 2 | 269 | 15 |
| 3 | 4546 | 15 |
| 0 | 8188 | 14 |
| 0 | 21 | 77 |
| 0 | 37 | 69 |
| 1 | 148 | 68 |
| 2 | 883 | 68 |
| 0 | 9237 | 68 |
| 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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