
Time bar (total: 6.7s)
| 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 11 to 10 computations (9.1% saved)
| 728.0ms | 8 256× | 0 | valid |
ival-sub: 242.0ms (44.3% of total)ival-div: 195.0ms (35.7% of total)ival-mult: 56.0ms (10.3% of total)ival-add: 38.0ms (7% of total)ival-true: 6.0ms (1.1% of total)exact: 6.0ms (1.1% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 27 | 0 | - | 0 | - | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 (-.f64 y z) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 y z) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) | o/n | 27 | 0 |
| ↳ | (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) | overflow | 46 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 27 | 0 |
| - | 0 | 229 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 27 | 0 | 0 |
| - | 0 | 0 | 229 |
| number | freq |
|---|---|
| 0 | 229 |
| 1 | 27 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 42.0ms | 512× | 0 | valid |
Compiled 69 to 28 computations (59.4% saved)
ival-div: 8.0ms (45.4% of total)ival-sub: 3.0ms (17% of total)ival-mult: 3.0ms (17% of total)ival-add: 2.0ms (11.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 92 |
| 1 | 135 | 86 |
| 2 | 413 | 83 |
| 3 | 1895 | 81 |
| 4 | 5281 | 81 |
| 5 | 7636 | 81 |
| 0 | 8 | 9 |
| 0 | 12 | 9 |
| 1 | 28 | 9 |
| 2 | 57 | 9 |
| 3 | 152 | 9 |
| 4 | 341 | 9 |
| 5 | 759 | 9 |
| 6 | 1683 | 9 |
| 7 | 3057 | 9 |
| 8 | 4509 | 9 |
| 9 | 5361 | 9 |
| 10 | 5889 | 9 |
| 11 | 5970 | 9 |
| 12 | 6000 | 9 |
| 13 | 6004 | 9 |
| 14 | 6096 | 9 |
| 15 | 6283 | 9 |
| 16 | 6317 | 9 |
| 17 | 6333 | 9 |
| 18 | 6437 | 9 |
| 19 | 6743 | 9 |
| 20 | 6755 | 9 |
| 21 | 6755 | 9 |
| 0 | 8159 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Outputs |
|---|
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(negabs x)
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 90.0% | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | (+.f64 (-.f64 y z) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) | |
| cost-diff | 1 | (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 0 | 12 | 28 |
| 1 | 28 | 28 |
| 2 | 57 | 28 |
| 3 | 152 | 28 |
| 4 | 341 | 28 |
| 5 | 759 | 28 |
| 6 | 1683 | 28 |
| 7 | 3057 | 28 |
| 8 | 4509 | 28 |
| 9 | 5361 | 28 |
| 10 | 5889 | 28 |
| 11 | 5970 | 28 |
| 12 | 6000 | 28 |
| 13 | 6004 | 28 |
| 14 | 6096 | 28 |
| 15 | 6283 | 28 |
| 16 | 6317 | 28 |
| 17 | 6333 | 28 |
| 18 | 6437 | 28 |
| 19 | 6743 | 28 |
| 20 | 6755 | 28 |
| 21 | 6755 | 28 |
| 0 | 8159 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
x |
(+.f64 (-.f64 y z) #s(literal 1 binary64)) |
(-.f64 y z) |
y |
z |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
(fma.f64 (-.f64 y z) x x) |
x |
(+.f64 (-.f64 y z) #s(literal 1 binary64)) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(-.f64 y z) |
y |
z |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 y z) | |
| accuracy | 0.0 | (+.f64 (-.f64 y z) #s(literal 1 binary64)) | |
| accuracy | 0.01171875 | (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) | |
| accuracy | 6.401717863104979 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 15.0ms | 256× | 0 | valid |
Compiled 30 to 10 computations (66.7% saved)
ival-div: 2.0ms (26.3% of total)ival-add: 2.0ms (26.3% of total)ival-mult: 2.0ms (26.3% of total)ival-sub: 1.0ms (13.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
(+.f64 (-.f64 y z) #s(literal 1 binary64)) |
(-.f64 y z) |
| Outputs |
|---|
(* x (- (+ 1 y) z)) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- 1 z)) |
(+ (* x y) (* x (- 1 z))) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(- 1 z) |
(- (+ 1 y) z) |
(* -1 z) |
(- y z) |
(* x y) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(/ (* x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* x (+ 1 y)) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(+ 1 y) |
(+ 1 (+ y (* -1 z))) |
(+ y (* -1 z)) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (/ y z) 1)) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((* x (+ (- y z) 1)) (/ (* x (+ (- y z) 1)) z) (+ (- y z) 1) (- y z)) |
| 1.0ms | y | @ | -inf | ((* x (+ (- y z) 1)) (/ (* x (+ (- y z) 1)) z) (+ (- y z) 1) (- y z)) |
| 1.0ms | x | @ | inf | ((* x (+ (- y z) 1)) (/ (* x (+ (- y z) 1)) z) (+ (- y z) 1) (- y z)) |
| 1.0ms | x | @ | 0 | ((* x (+ (- y z) 1)) (/ (* x (+ (- y z) 1)) z) (+ (- y z) 1) (- y z)) |
| 1.0ms | z | @ | -inf | ((* x (+ (- y z) 1)) (/ (* x (+ (- y z) 1)) z) (+ (- y z) 1) (- y z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 198 |
| 1 | 263 | 198 |
| 2 | 813 | 198 |
| 3 | 2537 | 197 |
| 4 | 6132 | 196 |
| 0 | 8321 | 181 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (- (+ 1 y) z)) |
(/ (* x (- (+ 1 y) z)) z) |
(* x (- 1 z)) |
(+ (* x y) (* x (- 1 z))) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(- 1 z) |
(- (+ 1 y) z) |
(* -1 z) |
(- y z) |
(* x y) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(/ (* x y) z) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* x (+ 1 y)) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(+ 1 y) |
(+ 1 (+ y (* -1 z))) |
(+ y (* -1 z)) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (/ y z) 1)) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
| Outputs |
|---|
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ (* x y) (* x (- 1 z))) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (- 1 z)) z) |
(-.f64 (/.f64 x z) x) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(- 1 z) |
(-.f64 #s(literal 1 binary64) z) |
(- (+ 1 y) z) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(- y z) |
(-.f64 y z) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 59 | 24 |
| 2 | 452 | 24 |
| 3 | 7471 | 24 |
| 0 | 8566 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
(+.f64 (-.f64 y z) #s(literal 1 binary64)) |
(-.f64 y z) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) (-.f64 y z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x) (-.f64 (pow.f64 (-.f64 y z) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 y z)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 3 binary64)) (pow.f64 (-.f64 y z) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (pow.f64 (-.f64 y z) #s(literal 4 binary64)))) |
(*.f64 (neg.f64 (neg.f64 x)) (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x) (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (-.f64 y z) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 y z) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (-.f64 y z) x x))) |
(*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (-.f64 y z) x x) #s(literal 1 binary64)) |
(*.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) (neg.f64 (neg.f64 x))) |
(*.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) x x)) |
(*.f64 x (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
(/.f64 (*.f64 x (-.f64 (*.f64 y y) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (+.f64 z y) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 y z))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64)) (*.f64 y y))) |
(/.f64 (*.f64 x (neg.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 y z))) |
(/.f64 (*.f64 x (neg.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 y z) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) (-.f64 y z))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x)) (neg.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64))))) |
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(neg.f64 (neg.f64 (-.f64 y z))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 z y) z)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z y) z) (-.f64 (*.f64 (+.f64 z y) z) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 (/.f64 (*.f64 y y) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z (-.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y))))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (neg.f64 z) z (*.f64 y y))) (-.f64 y z) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y))))) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 #s(literal -1 binary64) z y) |
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 z y) z (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 (neg.f64 z) #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 z) (*.f64 #s(literal 1 binary64) y)) |
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) (neg.f64 z))) |
(fma.f64 z #s(literal -1 binary64) y) |
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 z y) z (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(fma.f64 y (/.f64 y (+.f64 z y)) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y))))) |
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 z) #s(literal 1 binary64))) |
(-.f64 (+.f64 y #s(literal 0 binary64)) z) |
(-.f64 (*.f64 y (/.f64 y (+.f64 z y))) (*.f64 z (/.f64 z (+.f64 z y)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(-.f64 #s(literal 0 binary64) (-.f64 z y)) |
(-.f64 y z) |
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (neg.f64 z) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 #s(literal 1 binary64) y)) |
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) (neg.f64 z))) |
(+.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64))) |
(+.f64 (*.f64 y (/.f64 y (+.f64 z y))) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(+.f64 (neg.f64 z) y) |
(+.f64 y (neg.f64 z)) |
Compiled 8 195 to 1 427 computations (82.6% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 381 | 12 | 393 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 382 | 12 | 394 |
| Status | Accuracy | Program |
|---|---|---|
| 60.4% | (/.f64 (fma.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (+.f64 z y)) x) z) | |
| ▶ | 90.0% | (/.f64 (fma.f64 (-.f64 y z) x x) z) |
| 89.2% | (/.f64 (fma.f64 y x (fma.f64 (neg.f64 x) z x)) z) | |
| ▶ | 67.6% | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
| 24.8% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 x) z)) z) | |
| 40.2% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) | |
| ▶ | 97.9% | (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
| 97.2% | (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) | |
| 87.6% | (*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))) | |
| 65.6% | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) | |
| ▶ | 40.5% | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) |
| ▶ | 31.8% | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
Compiled 288 to 220 computations (23.6% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | (fma.f64 (-.f64 y z) x x) | |
| cost-diff | 0 | (/.f64 (fma.f64 (-.f64 y z) x x) z) | |
| cost-diff | 0 | (fma.f64 y x x) | |
| cost-diff | 0 | #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (*.f64 (/.f64 y z) x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) | |
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | (-.f64 (-.f64 y z) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) | |
| cost-diff | 1 | (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 122 |
| 0 | 36 | 119 |
| 1 | 69 | 117 |
| 2 | 109 | 117 |
| 3 | 241 | 117 |
| 4 | 493 | 117 |
| 5 | 1084 | 117 |
| 6 | 2871 | 117 |
| 7 | 4681 | 117 |
| 8 | 5786 | 117 |
| 9 | 6129 | 117 |
| 10 | 6250 | 117 |
| 11 | 6281 | 117 |
| 12 | 6295 | 117 |
| 13 | 6400 | 117 |
| 14 | 6853 | 117 |
| 15 | 7171 | 117 |
| 16 | 7221 | 117 |
| 17 | 7237 | 117 |
| 18 | 7265 | 117 |
| 19 | 7273 | 117 |
| 20 | 7295 | 117 |
| 21 | 7325 | 117 |
| 0 | 8185 | 117 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
x |
(/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
z |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(-.f64 y z) |
y |
#s(literal -1 binary64) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) |
(fma.f64 y x x) |
y |
x |
z |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(fma.f64 (-.f64 y z) x x) |
(-.f64 y z) |
y |
z |
x |
| Outputs |
|---|
(/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
x |
(/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
z |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(-.f64 y z) |
y |
#s(literal -1 binary64) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) |
(fma.f64 y x x) |
y |
x |
z |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(fma.f64 (-.f64 y z) x x) |
(-.f64 y z) |
y |
z |
x |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 y z) | |
| accuracy | 0.0078125 | (fma.f64 (-.f64 y z) x x) | |
| accuracy | 6.401717863104979 | (/.f64 (fma.f64 (-.f64 y z) x x) z) | |
| accuracy | 0.0 | (fma.f64 y x x) | |
| accuracy | 6.401717863104979 | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) | |
| accuracy | 18.481183406710482 | #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) | |
| accuracy | 0.0 | (/.f64 y z) | |
| accuracy | 3.5952273638076613 | (*.f64 (/.f64 y z) x) | |
| accuracy | 36.4056219642291 | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 43.674466445880725 | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) | |
| accuracy | 0.0 | (-.f64 (-.f64 y z) #s(literal -1 binary64)) | |
| accuracy | 0.0 | (-.f64 y z) | |
| accuracy | 0.01171875 | (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) | |
| accuracy | 1.3306321511800476 | (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
| 108.0ms | 256× | 0 | valid |
Compiled 108 to 22 computations (79.6% saved)
ival-div: 8.0ms (37.1% of total)ival-mult: 6.0ms (27.9% of total)ival-sub: 3.0ms (13.9% of total)ival-add: 3.0ms (13.9% of total)ival-neg: 1.0ms (4.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
(/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(-.f64 y z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) |
(fma.f64 y x x) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(fma.f64 (-.f64 y z) x x) |
| Outputs |
|---|
(/ (* x (- (+ 1 y) z)) z) |
(* -1 x) |
(/ (* x y) z) |
(* x (- (+ 1 y) z)) |
(* x (+ 1 y)) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/ z (- 1 z)) |
(+ (* -1 (/ (* y z) (pow (- 1 z) 2))) (/ z (- 1 z))) |
(+ (* y (- (/ (* y z) (pow (- 1 z) 3)) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z))) |
(+ (* y (- (* y (- (* -1 (/ (* y z) (pow (- 1 z) 4))) (* -1 (/ z (pow (- 1 z) 3))))) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z))) |
(- 1 z) |
(- (+ 1 y) z) |
(* -1 z) |
(- y z) |
(/ y z) |
(* x (- 1 z)) |
(+ (* x y) (* x (- 1 z))) |
x |
(+ x (* x y)) |
(/ (+ x (* -1 (* x z))) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/ z y) |
(/ (+ z (* -1 (/ (* z (- 1 z)) y))) y) |
(/ (- (+ z (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y)) y) |
(/ (- (+ z (* -1 (/ (* z (pow (- 1 z) 3)) (pow y 3)))) (+ (* -1 (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y))) y) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* x y) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ x y))) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y)))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (/ (+ (* -1 z) (/ (* z (- 1 z)) y)) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- 1 z) 2)) y) (* z (- 1 z))) y))) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- 1 z) 3)) y) (* z (pow (- 1 z) 2))) y)) (* z (- 1 z))) y))) y)) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ z (+ 1 y)) |
(* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2)))) |
(* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y)))) |
(* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y)))) |
(+ 1 y) |
(+ 1 (+ y (* -1 z))) |
(+ y (* -1 z)) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(/ (+ x (* x y)) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
-1 |
(- (* -1 (/ (+ 1 y) z)) 1) |
(- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z)))) |
(- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2)))))) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (/ y z) 1)) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 85.0ms | x | @ | 0 | ((/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ y z) x) (/ y z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x)) |
| 41.0ms | z | @ | 0 | ((/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ y z) x) (/ y z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x)) |
| 4.0ms | z | @ | inf | ((/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ y z) x) (/ y z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x)) |
| 3.0ms | x | @ | inf | ((/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ y z) x) (/ y z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x)) |
| 3.0ms | x | @ | -inf | ((/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ y z) x) (/ y z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 247 | 813 |
| 1 | 791 | 792 |
| 2 | 2433 | 760 |
| 3 | 7286 | 743 |
| 0 | 8181 | 703 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (- (+ 1 y) z)) z) |
(* -1 x) |
(/ (* x y) z) |
(* x (- (+ 1 y) z)) |
(* x (+ 1 y)) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/ z (- 1 z)) |
(+ (* -1 (/ (* y z) (pow (- 1 z) 2))) (/ z (- 1 z))) |
(+ (* y (- (/ (* y z) (pow (- 1 z) 3)) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z))) |
(+ (* y (- (* y (- (* -1 (/ (* y z) (pow (- 1 z) 4))) (* -1 (/ z (pow (- 1 z) 3))))) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z))) |
(- 1 z) |
(- (+ 1 y) z) |
(* -1 z) |
(- y z) |
(/ y z) |
(* x (- 1 z)) |
(+ (* x y) (* x (- 1 z))) |
x |
(+ x (* x y)) |
(/ (+ x (* -1 (* x z))) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/ z y) |
(/ (+ z (* -1 (/ (* z (- 1 z)) y))) y) |
(/ (- (+ z (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y)) y) |
(/ (- (+ z (* -1 (/ (* z (pow (- 1 z) 3)) (pow y 3)))) (+ (* -1 (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y))) y) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* x y) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* y (+ x (/ x y))) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y)))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (/ (+ (* -1 z) (/ (* z (- 1 z)) y)) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- 1 z) 2)) y) (* z (- 1 z))) y))) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- 1 z) 3)) y) (* z (pow (- 1 z) 2))) y)) (* z (- 1 z))) y))) y)) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ z (+ 1 y)) |
(* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2)))) |
(* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y)))) |
(* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y)))) |
(+ 1 y) |
(+ 1 (+ y (* -1 z))) |
(+ y (* -1 z)) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(/ (+ x (* x y)) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
-1 |
(- (* -1 (/ (+ 1 y) z)) 1) |
(- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z)))) |
(- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2)))))) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (/ y z) 1)) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
| Outputs |
|---|
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 x) |
(neg.f64 x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* x (- (* -1 (- y z)) 1))) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (- 1 z)) z) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ z (- 1 z)) |
(/.f64 z (-.f64 #s(literal 1 binary64) z)) |
(+ (* -1 (/ (* y z) (pow (- 1 z) 2))) (/ z (- 1 z))) |
(fma.f64 (neg.f64 z) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 z (-.f64 #s(literal 1 binary64) z))) |
(+ (* y (- (/ (* y z) (pow (- 1 z) 3)) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z))) |
(fma.f64 (*.f64 (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z)))) y (/.f64 z (-.f64 #s(literal 1 binary64) z))) |
(+ (* y (- (* y (- (* -1 (/ (* y z) (pow (- 1 z) 4))) (* -1 (/ z (pow (- 1 z) 3))))) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (neg.f64 y) (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))) y (/.f64 (neg.f64 z) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) y (/.f64 z (-.f64 #s(literal 1 binary64) z))) |
(- 1 z) |
(-.f64 #s(literal 1 binary64) z) |
(- (+ 1 y) z) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(- y z) |
(-.f64 y z) |
(/ y z) |
(/.f64 y z) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ (* x y) (* x (- 1 z))) |
(fma.f64 (-.f64 y z) x x) |
x |
(+ x (* x y)) |
(fma.f64 y x x) |
(/ (+ x (* -1 (* x z))) z) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) z) |
(+ (* -1 x) (+ (/ x z) (/ (* x y) z))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ x (+ (* -1 (* x z)) (* x y))) |
(fma.f64 (-.f64 y z) x x) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal -1 binary64)) (/.f64 x z)) y) |
(/ z y) |
(/.f64 z y) |
(/ (+ z (* -1 (/ (* z (- 1 z)) y))) y) |
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 z y) z) y) |
(/ (- (+ z (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y)) y) |
(/.f64 (fma.f64 (/.f64 z y) (-.f64 (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) y) z) #s(literal 1 binary64)) z) y) |
(/ (- (+ z (* -1 (/ (* z (pow (- 1 z) 3)) (pow y 3)))) (+ (* -1 (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y))) y) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 3 binary64))) z (fma.f64 (/.f64 z y) (-.f64 (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) y) z) #s(literal 1 binary64)) z)) y) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) y y) |
(* y (+ 1 (* -1 (/ z y)))) |
(fma.f64 (/.f64 (neg.f64 z) y) y y) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x x) y) |
(* y (+ x (/ x y))) |
(*.f64 (+.f64 (/.f64 x y) x) y) |
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) y) (/.f64 x z)) y) |
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x x) y) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal -1 binary64)) (/.f64 x z)) y) |
(* -1 (/ (+ (* -1 z) (/ (* z (- 1 z)) y)) y)) |
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 z y) z) y) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- 1 z) 2)) y) (* z (- 1 z))) y))) y)) |
(/.f64 (fma.f64 (/.f64 z y) (-.f64 (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) y) z) #s(literal 1 binary64)) z) y) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- 1 z) 3)) y) (* z (pow (- 1 z) 2))) y)) (* z (- 1 z))) y))) y)) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 3 binary64))) z (fma.f64 (/.f64 z y) (-.f64 (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) y) z) #s(literal 1 binary64)) z)) y) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(fma.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) (neg.f64 y) y) |
(* -1 (* y (- (/ z y) 1))) |
(fma.f64 (/.f64 (neg.f64 z) y) y y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x x) y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(*.f64 (+.f64 (/.f64 x y) x) y) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) y) (/.f64 x z)) y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x x) y) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ z (+ 1 y)) |
(/.f64 z (-.f64 y #s(literal -1 binary64))) |
(* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2)))) |
(fma.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) z (/.f64 z (-.f64 y #s(literal -1 binary64)))) |
(* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y)))) |
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) z (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))) z (/.f64 z (-.f64 y #s(literal -1 binary64)))) |
(* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 4 binary64))) z (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))) z (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))) z (/.f64 z (-.f64 y #s(literal -1 binary64)))) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 (-.f64 y z) x x) |
(/ (+ x (* x y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ x (+ (* -1 (* x z)) (* x y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (+ 1 y) z)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) z)) |
(- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z)))) |
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal -1 binary64)))) |
(- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2)))))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) z) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) z) (-.f64 y #s(literal -1 binary64))) z) #s(literal 1 binary64)) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 (-.f64 y z) x x) |
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (-.f64 y z) x x) |
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1) |
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal -1 binary64)))) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) z) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) z) (-.f64 y #s(literal -1 binary64))) z) #s(literal 1 binary64)) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (-.f64 y z) x x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 105 |
| 0 | 36 | 102 |
| 1 | 157 | 100 |
| 2 | 1045 | 100 |
| 0 | 8651 | 100 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
(/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(-.f64 y z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) |
(fma.f64 y x x) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(fma.f64 (-.f64 y z) x x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 z (fma.f64 (-.f64 y z) x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (fma.f64 (-.f64 y z) x x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y z)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (-.f64 y z))) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) z) (/.f64 (fma.f64 (-.f64 y z) x x) (fma.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (-.f64 y z))) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 x (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y z)))) |
(*.f64 (/.f64 x (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)))) (pow.f64 (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) z)) |
(*.f64 (pow.f64 (/.f64 z (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y z) x (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 z (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (-.f64 y z))) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) z) (-.f64 #s(literal -1 binary64) (-.f64 y z))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)) z) (pow.f64 (fma.f64 (-.f64 y z) x (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (pow.f64 (fma.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (-.f64 y z))) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x z) (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x z) (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (pow.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 x (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (-.f64 y z) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y z))))) |
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 y z) x (neg.f64 x)) z))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 (-.f64 y z) x (neg.f64 x))))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (fma.f64 (-.f64 y z) x x)) |
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
(*.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (-.f64 y z))) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) z))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (-.f64 y z))) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) x) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (fma.f64 (-.f64 y z) x x) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) z)) |
(*.f64 (/.f64 (fma.f64 (-.f64 y z) x x) z) (/.f64 (fma.f64 (-.f64 y z) x (neg.f64 x)) (fma.f64 (-.f64 y z) x (neg.f64 x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y z) x x) z)) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (fma.f64 #s(literal -1 binary64) y z) x x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x x) (*.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (-.f64 y z))) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (-.f64 y z) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x) (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)) (neg.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y z) x x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (-.f64 y z) x (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (-.f64 y z))) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 x x) (*.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (-.f64 y z))) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y z)) (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (-.f64 y z))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) (*.f64 x (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y z)) (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (*.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64))))) (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (-.f64 y z) x x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 y z) x x) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (-.f64 y z) x x) #s(literal -1 binary64)))) |
(/.f64 x (pow.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) x)) |
(fma.f64 (*.f64 (*.f64 (+.f64 y z) (-.f64 y z)) x) (pow.f64 (+.f64 y z) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (pow.f64 (fma.f64 y y (*.f64 z (+.f64 y z))) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 (+.f64 y z) (-.f64 y z))) (pow.f64 (+.f64 y z) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 y y (*.f64 z (+.f64 y z))) #s(literal -1 binary64)) x) |
(fma.f64 (+.f64 #s(literal 1 binary64) y) x (*.f64 (neg.f64 z) x)) |
(fma.f64 (+.f64 #s(literal 1 binary64) y) x (*.f64 x (neg.f64 z))) |
(fma.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y x) y))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 (neg.f64 z) x)) |
(fma.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y x) y))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 x (neg.f64 z))) |
(fma.f64 (*.f64 (fma.f64 y x x) (fma.f64 (neg.f64 y) x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) x x)) (*.f64 (neg.f64 z) x)) |
(fma.f64 (*.f64 (fma.f64 y x x) (fma.f64 (neg.f64 y) x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) x x)) (*.f64 x (neg.f64 z))) |
(fma.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y x)))))) (*.f64 (neg.f64 z) x)) |
(fma.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y x)))))) (*.f64 x (neg.f64 z))) |
(fma.f64 (*.f64 x (-.f64 (*.f64 (*.f64 y x) y) x)) (pow.f64 (fma.f64 y x (neg.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 z) x)) |
(fma.f64 (*.f64 x (-.f64 (*.f64 (*.f64 y x) y) x)) (pow.f64 (fma.f64 y x (neg.f64 x)) #s(literal -1 binary64)) (*.f64 x (neg.f64 z))) |
(fma.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 y y) y)))) (*.f64 (neg.f64 z) x)) |
(fma.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 y y) y)))) (*.f64 x (neg.f64 z))) |
(fma.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y x)))) #s(literal -1 binary64)) (*.f64 (neg.f64 z) x)) |
(fma.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y x)))) #s(literal -1 binary64)) (*.f64 x (neg.f64 z))) |
(fma.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 y z) x (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 y z) x (neg.f64 x))))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) y z) x))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (-.f64 y z) x)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 y x x) (*.f64 (neg.f64 z) x)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 y x x) (*.f64 x (neg.f64 z))) |
(fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) y z) x))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 y z) x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) y z) x))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (-.f64 y z) x)) |
(fma.f64 (-.f64 y z) x x) |
(fma.f64 y x (*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) x)) |
(fma.f64 y x (*.f64 x (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)))) |
(fma.f64 x (+.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 z) x)) |
(fma.f64 x (+.f64 #s(literal 1 binary64) y) (*.f64 x (neg.f64 z))) |
(fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) y z) x))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 y z) x)) |
(fma.f64 x (-.f64 y z) x) |
(fma.f64 x y (*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) x)) |
(fma.f64 x y (*.f64 x (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1 binary64) (-.f64 y z)))) (/.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (-.f64 y z))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (fma.f64 (-.f64 y z) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 y z) x (neg.f64 x)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) x)) |
(+.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) y z) x)) x) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (fma.f64 (-.f64 y z) x (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 y z) x (neg.f64 x))))) |
(+.f64 (*.f64 y x) (*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) x)) |
(+.f64 (*.f64 y x) (*.f64 x (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)))) |
(+.f64 (*.f64 (-.f64 y z) x) x) |
(+.f64 (fma.f64 y x x) (*.f64 (neg.f64 z) x)) |
(+.f64 (fma.f64 y x x) (*.f64 x (neg.f64 z))) |
(+.f64 x (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) y z) x))) |
(+.f64 x (*.f64 (-.f64 y z) x)) |
Compiled 14 886 to 2 150 computations (85.6% saved)
13 alts after pruning (9 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 713 | 4 | 717 |
| Fresh | 2 | 5 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 716 | 13 | 729 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 90.0% | (/.f64 (fma.f64 (-.f64 y z) x x) z) |
| 89.2% | (/.f64 (fma.f64 y x (fma.f64 (neg.f64 x) z x)) z) | |
| ✓ | 67.6% | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
| 24.8% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) z) | |
| ▶ | 40.2% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
| ▶ | 41.1% | (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) |
| ▶ | 97.2% | (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
| 87.6% | (*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))) | |
| ▶ | 42.2% | #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) |
| ▶ | 65.6% | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
| ✓ | 40.5% | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) |
| 42.8% | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 y (/.f64 x z))) | |
| ✓ | 31.8% | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
Compiled 275 to 211 computations (23.3% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) | |
| cost-diff | 0 | (/.f64 z x) | |
| cost-diff | 0 | (/.f64 y (/.f64 z x)) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (-.f64 (/.f64 x z) x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) | |
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | (-.f64 (-.f64 y z) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) | |
| cost-diff | 1 | (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 139 |
| 0 | 39 | 139 |
| 1 | 69 | 139 |
| 2 | 107 | 139 |
| 3 | 239 | 139 |
| 4 | 491 | 139 |
| 5 | 1220 | 139 |
| 6 | 3189 | 139 |
| 7 | 4845 | 139 |
| 8 | 5969 | 139 |
| 9 | 7219 | 139 |
| 0 | 8113 | 134 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(-.f64 y z) |
y |
z |
#s(literal -1 binary64) |
x |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(-.f64 (/.f64 x z) x) |
(/.f64 x z) |
x |
z |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
#s(approx (* x (+ (- y z) 1)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
z |
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) |
(/.f64 y (/.f64 z x)) |
y |
(/.f64 z x) |
z |
x |
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) |
x |
#s(approx (/ z (- (- y z) -1)) (/.f64 z y)) |
(/.f64 z y) |
z |
y |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(-.f64 y z) |
y |
z |
#s(literal -1 binary64) |
x |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(-.f64 (/.f64 x z) x) |
(/.f64 x z) |
x |
z |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) |
#s(approx (* x (+ (- y z) 1)) (*.f64 y x)) |
#s(approx (* x (+ (- y z) 1)) (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
z |
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 x z) y) |
y |
(/.f64 z x) |
z |
x |
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) |
x |
#s(approx (/ z (- (- y z) -1)) (/.f64 z y)) |
(/.f64 z y) |
z |
y |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 z y) | |
| accuracy | 1.3306321511800476 | (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) | |
| accuracy | 36.91762631627965 | #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) | |
| accuracy | 0.0 | (/.f64 z x) | |
| accuracy | 5.988146680947847 | (/.f64 y (/.f64 z x)) | |
| accuracy | 36.4056219642291 | #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 6.401717863104979 | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) | |
| accuracy | 36.19354843535486 | #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 0.01171875 | (-.f64 (/.f64 x z) x) | |
| accuracy | 21.98961162614769 | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) | |
| accuracy | 0.0 | (-.f64 (-.f64 y z) #s(literal -1 binary64)) | |
| accuracy | 0.0 | (-.f64 y z) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) | |
| accuracy | 1.768647026585 | (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
| 42.0ms | 256× | 0 | valid |
Compiled 113 to 22 computations (80.5% saved)
ival-div: 15.0ms (52.6% of total)ival-sub: 7.0ms (24.6% of total)ival-mult: 5.0ms (17.5% of total)ival-add: 1.0ms (3.5% 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 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(-.f64 y z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(-.f64 (/.f64 x z) x) |
(/.f64 x z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
#s(approx (* x (+ (- y z) 1)) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) |
(/.f64 y (/.f64 z x)) |
(/.f64 z x) |
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) |
#s(approx (/ z (- (- y z) -1)) (/.f64 z y)) |
(/.f64 z y) |
| Outputs |
|---|
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (/ 1 z) 1)) |
(/ x z) |
(* x (- (+ 1 y) z)) |
(* x y) |
(/ (* x y) z) |
(/ z x) |
(* -1 (* x (- 1 (/ 1 z)))) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/ (- 1 z) z) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- 1 z) |
(- (+ 1 y) z) |
(* -1 z) |
(- y z) |
(* x (- 1 z)) |
(+ (* x y) (* x (- 1 z))) |
(/ z (- 1 z)) |
(+ (* -1 (/ (* y z) (pow (- 1 z) 2))) (/ z (- 1 z))) |
(+ (* y (- (/ (* y z) (pow (- 1 z) 3)) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z))) |
(+ (* y (- (* y (- (* -1 (/ (* y z) (pow (- 1 z) 4))) (* -1 (/ z (pow (- 1 z) 3))))) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z))) |
(/ z y) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/ y z) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(/ (+ z (* -1 (/ (* z (- 1 z)) y))) y) |
(/ (- (+ z (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y)) y) |
(/ (- (+ z (* -1 (/ (* z (pow (- 1 z) 3)) (pow y 3)))) (+ (* -1 (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y))) y) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (/ (+ (* -1 z) (/ (* z (- 1 z)) y)) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- 1 z) 2)) y) (* z (- 1 z))) y))) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- 1 z) 3)) y) (* z (pow (- 1 z) 2))) y)) (* z (- 1 z))) y))) y)) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ 1 y) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(+ 1 y) |
(+ 1 (+ y (* -1 z))) |
(+ y (* -1 z)) |
(/ (+ x (* -1 (* x z))) z) |
(* x (+ 1 y)) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(/ z (+ 1 y)) |
(* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2)))) |
(* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y)))) |
(* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y)))) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
-1 |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (/ y z) 1)) |
(- (/ x z) x) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(- (* -1 (/ (+ 1 y) z)) 1) |
(- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z)))) |
(- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2)))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (* x (+ (- y z) 1)) z) (/ y (/ z x)) (/ z x) (/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (/ z y)) |
| 2.0ms | z | @ | -inf | ((* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (* x (+ (- y z) 1)) z) (/ y (/ z x)) (/ z x) (/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (/ z y)) |
| 2.0ms | y | @ | -inf | ((* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (* x (+ (- y z) 1)) z) (/ y (/ z x)) (/ z x) (/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (/ z y)) |
| 2.0ms | z | @ | 0 | ((* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (* x (+ (- y z) 1)) z) (/ y (/ z x)) (/ z x) (/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (/ z y)) |
| 2.0ms | z | @ | inf | ((* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (* x (+ (- y z) 1)) z) (/ y (/ z x)) (/ z x) (/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (/ z y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 216 | 694 |
| 1 | 670 | 676 |
| 2 | 2054 | 634 |
| 3 | 6982 | 634 |
| 0 | 8206 | 605 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (- (+ 1 y) z)) z) |
(* x (- (/ 1 z) 1)) |
(/ x z) |
(* x (- (+ 1 y) z)) |
(* x y) |
(/ (* x y) z) |
(/ z x) |
(* -1 (* x (- 1 (/ 1 z)))) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/ (- 1 z) z) |
(- (+ (/ 1 z) (/ y z)) 1) |
(- 1 z) |
(- (+ 1 y) z) |
(* -1 z) |
(- y z) |
(* x (- 1 z)) |
(+ (* x y) (* x (- 1 z))) |
(/ z (- 1 z)) |
(+ (* -1 (/ (* y z) (pow (- 1 z) 2))) (/ z (- 1 z))) |
(+ (* y (- (/ (* y z) (pow (- 1 z) 3)) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z))) |
(+ (* y (- (* y (- (* -1 (/ (* y z) (pow (- 1 z) 4))) (* -1 (/ z (pow (- 1 z) 3))))) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z))) |
(/ z y) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/ y z) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(/ (+ z (* -1 (/ (* z (- 1 z)) y))) y) |
(/ (- (+ z (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y)) y) |
(/ (- (+ z (* -1 (/ (* z (pow (- 1 z) 3)) (pow y 3)))) (+ (* -1 (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y))) y) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (/ (+ (* -1 z) (/ (* z (- 1 z)) y)) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- 1 z) 2)) y) (* z (- 1 z))) y))) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- 1 z) 3)) y) (* z (pow (- 1 z) 2))) y)) (* z (- 1 z))) y))) y)) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ 1 y) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(+ 1 y) |
(+ 1 (+ y (* -1 z))) |
(+ y (* -1 z)) |
(/ (+ x (* -1 (* x z))) z) |
(* x (+ 1 y)) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(/ z (+ 1 y)) |
(* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2)))) |
(* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y)))) |
(* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y)))) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
-1 |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (- (/ y z) 1)) |
(- (/ x z) x) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(- (* -1 (/ (+ 1 y) z)) 1) |
(- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z)))) |
(- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2)))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1) |
| Outputs |
|---|
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (/ 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(/ x z) |
(/.f64 x z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* x y) |
(*.f64 x y) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(/ z x) |
(/.f64 z x) |
(* -1 (* x (- 1 (/ 1 z)))) |
(-.f64 (/.f64 x z) x) |
(/ (* x (- 1 z)) z) |
(-.f64 (/.f64 x z) x) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (- 1 z) z) |
(/.f64 (-.f64 #s(literal 1 binary64) z) z) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z) |
(- 1 z) |
(-.f64 #s(literal 1 binary64) z) |
(- (+ 1 y) z) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(- y z) |
(-.f64 y z) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ (* x y) (* x (- 1 z))) |
(fma.f64 (-.f64 y z) x x) |
(/ z (- 1 z)) |
(/.f64 z (-.f64 #s(literal 1 binary64) z)) |
(+ (* -1 (/ (* y z) (pow (- 1 z) 2))) (/ z (- 1 z))) |
(fma.f64 (neg.f64 y) (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 z (-.f64 #s(literal 1 binary64) z))) |
(+ (* y (- (/ (* y z) (pow (- 1 z) 3)) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z))) |
(fma.f64 (*.f64 (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z)))) y (/.f64 z (-.f64 #s(literal 1 binary64) z))) |
(+ (* y (- (* y (- (* -1 (/ (* y z) (pow (- 1 z) 4))) (* -1 (/ z (pow (- 1 z) 3))))) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z))) |
(fma.f64 (fma.f64 (*.f64 (neg.f64 y) y) (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (*.f64 (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z))))) y (/.f64 z (-.f64 #s(literal 1 binary64) z))) |
(/ z y) |
(/.f64 z y) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ y z) |
(/.f64 y z) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z) |
y |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(fma.f64 (-.f64 y z) x x) |
(/ (+ z (* -1 (/ (* z (- 1 z)) y))) y) |
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 z y) z) y) |
(/ (- (+ z (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y)) y) |
(/.f64 (fma.f64 (/.f64 z y) (-.f64 (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) y) z) #s(literal 1 binary64)) z) y) |
(/ (- (+ z (* -1 (/ (* z (pow (- 1 z) 3)) (pow y 3)))) (+ (* -1 (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y))) y) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 3 binary64))) z (fma.f64 (/.f64 z y) (-.f64 (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) y) z) #s(literal 1 binary64)) z)) y) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (/ (+ (* -1 z) (/ (* z (- 1 z)) y)) y)) |
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 z y) z) y) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- 1 z) 2)) y) (* z (- 1 z))) y))) y)) |
(/.f64 (fma.f64 (/.f64 z y) (-.f64 (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) y) z) #s(literal 1 binary64)) z) y) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- 1 z) 3)) y) (* z (pow (- 1 z) 2))) y)) (* z (- 1 z))) y))) y)) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 3 binary64))) z (fma.f64 (/.f64 z y) (-.f64 (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) y) z) #s(literal 1 binary64)) z)) y) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 x y x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(/ (+ x (* -1 (* x z))) z) |
(-.f64 (/.f64 x z) x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 (-.f64 y z) x x) |
(/ z (+ 1 y)) |
(/.f64 z (-.f64 y #s(literal -1 binary64))) |
(* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2)))) |
(fma.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) z (/.f64 z (-.f64 y #s(literal -1 binary64)))) |
(* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y)))) |
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) z (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))) z (/.f64 z (-.f64 y #s(literal -1 binary64)))) |
(* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 4 binary64))) z (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))) z (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))) z (/.f64 z (-.f64 y #s(literal -1 binary64)))) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
-1 |
#s(literal -1 binary64) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(- (/ x z) x) |
(-.f64 (/.f64 x z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 (-.f64 y z) x x) |
(- (* -1 (/ (+ 1 y) z)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) z)) |
(- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z)))) |
(-.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 (/.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) z) z) (/.f64 y z))) |
(- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2)))))) |
(-.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 3 binary64))) (+.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) z) z) (/.f64 y z)) (/.f64 #s(literal 1 binary64) z))) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(fma.f64 (-.f64 y z) x x) |
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1) |
(neg.f64 (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) z) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) z) (-.f64 y #s(literal -1 binary64))) z) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 124 |
| 0 | 39 | 124 |
| 1 | 156 | 124 |
| 2 | 1046 | 124 |
| 0 | 8655 | 119 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) |
(-.f64 (-.f64 y z) #s(literal -1 binary64)) |
(-.f64 y z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
(-.f64 (/.f64 x z) x) |
(/.f64 x z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
#s(approx (* x (+ (- y z) 1)) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) |
(/.f64 y (/.f64 z x)) |
(/.f64 z x) |
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) |
#s(approx (/ z (- (- y z) -1)) (/.f64 z y)) |
(/.f64 z y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 z (fma.f64 (-.f64 y z) x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (fma.f64 (-.f64 y z) x x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))) |
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(*.f64 (/.f64 x (/.f64 z (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
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(*.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 x y)))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (neg.f64 z))) |
(pow.f64 (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 x y))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y))) (*.f64 z #s(literal -1 binary64))) |
(/.f64 (neg.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y))) (neg.f64 z)) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 x y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 x y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 x y))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 x y))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (neg.f64 z)))) |
(neg.f64 (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (neg.f64 z))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 x y)))) #s(literal -1 binary64))) |
(*.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (* x (+ (- y z) 1)) (*.f64 x y))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)))) |
#s(approx (* x (+ (- y z) 1)) (*.f64 x y)) |
(neg.f64 (neg.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)))) |
(*.f64 x y) |
(*.f64 y x) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
(*.f64 (pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 y (pow.f64 x #s(literal -1 binary64))) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 x)) |
(*.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 y z) x) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (neg.f64 y) (/.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 x y) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 x z) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x z) y) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) y)) |
(*.f64 x (/.f64 y z)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (/.f64 z x) y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 y (/.f64 (neg.f64 z) x))) |
(*.f64 y (/.f64 x z)) |
(pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 y (neg.f64 x))) z) |
(/.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 z)) |
(/.f64 (/.f64 y z) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) x)) |
(/.f64 (*.f64 x y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) y)) |
(/.f64 x (/.f64 z y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z x) y))) |
(/.f64 y (/.f64 z x)) |
(neg.f64 (/.f64 (*.f64 y (neg.f64 x)) z)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 z x) y))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 y) z) x)) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (neg.f64 z) x)))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) y)) |
(neg.f64 (/.f64 y (/.f64 (neg.f64 z) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) x)) (/.f64 y (/.f64 (neg.f64 z) x))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 (neg.f64 z) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z x) y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x z) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) z) |
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 z x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 z x)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) x)) |
(*.f64 z (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (/.f64 z x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x z) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (/.f64 (neg.f64 z) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 z) (neg.f64 x)) |
(/.f64 (/.f64 z x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 x z)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z)) |
(/.f64 z x) |
(neg.f64 (/.f64 (/.f64 (neg.f64 z) x) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 z) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 z) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))) |
(*.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))) |
(*.f64 x (pow.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) x)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))) |
(pow.f64 (/.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 x) (neg.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) x)) |
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ z (- (- y z) -1)) (/.f64 z y))))) |
(neg.f64 (/.f64 (neg.f64 x) #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))) (/.f64 (neg.f64 x) #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) x)) #s(literal -1 binary64))) |
(*.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))) |
#s(approx (/ z (- (- y z) -1)) (/.f64 z y)) |
(/.f64 (neg.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) #s(literal -1 binary64)) |
(/.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y)) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))) |
(*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y z) #s(literal -1/2 binary64))) |
(*.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 #s(literal -1 binary64) (/.f64 (neg.f64 z) y)) |
(*.f64 z (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (/.f64 y z) #s(literal -1 binary64)) |
(/.f64 (neg.f64 z) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z)) |
(/.f64 z y) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y z))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) y))) |
(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 12 906 to 2 090 computations (83.8% saved)
12 alts after pruning (4 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 634 | 3 | 637 |
| Fresh | 3 | 1 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 638 | 12 | 650 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 90.0% | (/.f64 (fma.f64 (-.f64 y z) x x) z) |
| ✓ | 67.6% | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
| ▶ | 24.8% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) z) |
| ✓ | 40.2% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
| ✓ | 41.1% | (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) |
| ▶ | 67.8% | (*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) |
| ▶ | 97.2% | (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) |
| ✓ | 42.2% | #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) |
| ✓ | 65.6% | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
| ✓ | 40.5% | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) |
| ▶ | 42.8% | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
| ✓ | 31.8% | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
Compiled 156 to 120 computations (23.1% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) x) | |
| cost-diff | 0 | #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) z) | |
| cost-diff | 0 | (-.f64 y #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) y) z) | |
| cost-diff | 0 | (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) | |
| cost-diff | 1 | (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (*.f64 (/.f64 x z) y) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 128 |
| 0 | 37 | 128 |
| 1 | 73 | 128 |
| 2 | 126 | 128 |
| 3 | 274 | 128 |
| 4 | 511 | 128 |
| 5 | 1153 | 128 |
| 6 | 3139 | 128 |
| 7 | 4583 | 128 |
| 8 | 5043 | 128 |
| 9 | 5120 | 128 |
| 10 | 5136 | 128 |
| 11 | 5145 | 128 |
| 12 | 5938 | 128 |
| 13 | 6850 | 128 |
| 14 | 7266 | 128 |
| 15 | 7384 | 128 |
| 16 | 7437 | 128 |
| 17 | 7489 | 128 |
| 18 | 7807 | 128 |
| 0 | 8065 | 124 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
y |
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) y) z) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
z |
x |
(*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) |
(/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) |
#s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) |
(-.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
z |
x |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) z) |
#s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) |
(*.f64 (neg.f64 z) x) |
(neg.f64 z) |
z |
x |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
y |
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z) |
(/.f64 (+.f64 #s(literal 1 binary64) y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(+.f64 #s(literal 1 binary64) y) |
(-.f64 y #s(literal -1 binary64)) |
#s(literal 1 binary64) |
y |
z |
x |
(*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) |
(*.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) (/.f64 x z)) |
(/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) |
#s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) |
(-.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
z |
x |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) z) |
#s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) |
(*.f64 (neg.f64 z) x) |
(neg.f64 z) |
z |
x |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 (neg.f64 z) x) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 6.401717863104979 | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) z) | |
| accuracy | 43.29289607942524 | #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) | |
| accuracy | 0.0 | (-.f64 y #s(literal -1 binary64)) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) | |
| accuracy | 1.768647026585 | (*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) | |
| accuracy | 19.142404586844183 | #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) | |
| accuracy | 0.0 | (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.00390625 | (/.f64 (+.f64 #s(literal 1 binary64) y) z) | |
| accuracy | 1.768647026585 | (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 6.107849336759238 | (*.f64 (/.f64 x z) y) | |
| accuracy | 36.4056219642291 | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
| 131.0ms | 256× | 0 | valid |
Compiled 102 to 23 computations (77.5% saved)
ival-mult: 95.0ms (86.5% of total)ival-div: 6.0ms (5.5% of total)ival-sub: 5.0ms (4.6% of total)ival-add: 2.0ms (1.8% of total)ival-neg: 1.0ms (0.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) y) z) |
(+.f64 #s(literal 1 binary64) y) |
(*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) |
(/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) |
#s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) |
(-.f64 y #s(literal -1 binary64)) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) z) |
#s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) |
(*.f64 (neg.f64 z) x) |
(neg.f64 z) |
| Outputs |
|---|
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x y) z) |
(/ x z) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* x (- (+ 1 y) z)) |
(* -1 (* x z)) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(* x (- (/ 1 z) 1)) |
(+ (* x (- (/ 1 z) 1)) (/ (* x y) z)) |
(- (/ 1 z) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/ 1 z) |
(+ (/ 1 z) (/ y z)) |
1 |
(+ 1 y) |
(/ (- 1 z) z) |
(- 1 z) |
(- (+ 1 y) z) |
(* x (- 1 z)) |
(+ (* x y) (* x (- 1 z))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- (/ 1 z) 1)) y))) |
(/ y z) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* x y) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- (/ 1 z) 1)) y))))) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ 1 y) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(+ 1 (+ y (* -1 z))) |
(* x (+ 1 y)) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(* -1 z) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
-1 |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | ((/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (* (- (/ (+ 1 y) z) 1) x) (- (/ (+ 1 y) z) 1) (/ (+ 1 y) z) (+ 1 y) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y -1) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* (neg z) x) (neg z)) |
| 2.0ms | z | @ | -inf | ((/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (* (- (/ (+ 1 y) z) 1) x) (- (/ (+ 1 y) z) 1) (/ (+ 1 y) z) (+ 1 y) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y -1) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* (neg z) x) (neg z)) |
| 2.0ms | x | @ | 0 | ((/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (* (- (/ (+ 1 y) z) 1) x) (- (/ (+ 1 y) z) 1) (/ (+ 1 y) z) (+ 1 y) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y -1) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* (neg z) x) (neg z)) |
| 2.0ms | x | @ | inf | ((/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (* (- (/ (+ 1 y) z) 1) x) (- (/ (+ 1 y) z) 1) (/ (+ 1 y) z) (+ 1 y) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y -1) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* (neg z) x) (neg z)) |
| 2.0ms | y | @ | -inf | ((/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (* (- (/ (+ 1 y) z) 1) x) (- (/ (+ 1 y) z) 1) (/ (+ 1 y) z) (+ 1 y) (* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y -1) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* (neg z) x) (neg z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 312 |
| 1 | 306 | 312 |
| 2 | 938 | 308 |
| 3 | 2989 | 294 |
| 4 | 5539 | 294 |
| 0 | 8196 | 273 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (- (+ 1 y) z)) z) |
(/ (* x y) z) |
(/ x z) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(* x (- (+ 1 y) z)) |
(* -1 (* x z)) |
(/ (* x (- 1 z)) z) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(* x (- (/ 1 z) 1)) |
(+ (* x (- (/ 1 z) 1)) (/ (* x y) z)) |
(- (/ 1 z) 1) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/ 1 z) |
(+ (/ 1 z) (/ y z)) |
1 |
(+ 1 y) |
(/ (- 1 z) z) |
(- 1 z) |
(- (+ 1 y) z) |
(* x (- 1 z)) |
(+ (* x y) (* x (- 1 z))) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(* y (+ (/ x z) (/ (* x (- (/ 1 z) 1)) y))) |
(/ y z) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(* x y) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- (/ 1 z) 1)) y))))) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(/ (* x (+ 1 y)) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/ (+ 1 y) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(+ 1 (+ y (* -1 z))) |
(* x (+ 1 y)) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(* -1 z) |
(* -1 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
-1 |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
| Outputs |
|---|
(/ (* x (- (+ 1 y) z)) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(/ x z) |
(/.f64 x z) |
(* x (- (+ (/ 1 z) (/ y z)) 1)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (+ 1 y) z)) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(/ (* x (- 1 z)) z) |
(-.f64 (/.f64 x z) x) |
(+ (/ (* x y) z) (/ (* x (- 1 z)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* x (- (/ 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(+ (* x (- (/ 1 z) 1)) (/ (* x y) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(- (/ 1 z) 1) |
(/.f64 (-.f64 #s(literal 1 binary64) z) z) |
(- (+ (/ 1 z) (/ y z)) 1) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (/ 1 z) (/ y z)) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(/ (- 1 z) z) |
(/.f64 (-.f64 #s(literal 1 binary64) z) z) |
(- 1 z) |
(-.f64 #s(literal 1 binary64) z) |
(- (+ 1 y) z) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ (* x y) (* x (- 1 z))) |
(fma.f64 (-.f64 y z) x x) |
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* y (+ (/ x z) (/ (* x (- (/ 1 z) 1)) y))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ y z) |
(/.f64 y z) |
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z) |
(* y (+ (/ 1 z) (/ 1 (* y z)))) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
y |
(* y (+ 1 (/ 1 y))) |
(-.f64 y #s(literal -1 binary64)) |
(* y (- (+ 1 (/ 1 y)) (/ z y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y #s(literal 1 binary64)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (* x (- 1 z)) y))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- (/ 1 z) 1)) y))))) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z)))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y #s(literal 1 binary64)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 (-.f64 y z) x x) |
(/ (* x (+ 1 y)) z) |
(/.f64 (fma.f64 y x x) z) |
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(/ (+ 1 y) z) |
(/.f64 (-.f64 y #s(literal -1 binary64)) z) |
(/ (+ 1 (+ y (* -1 z))) z) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z) |
(+ 1 (+ y (* -1 z))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(+ (* -1 (* x z)) (* x (+ 1 y))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 z) |
(neg.f64 z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (/ (* x (+ 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
-1 |
#s(literal -1 binary64) |
(* z (- (+ (/ 1 z) (/ y z)) 1)) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) |
(fma.f64 (-.f64 y z) x x) |
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) |
(-.f64 (-.f64 y #s(literal -1 binary64)) z) |
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) |
(fma.f64 (-.f64 y z) x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 115 |
| 0 | 37 | 115 |
| 1 | 159 | 115 |
| 2 | 1144 | 115 |
| 0 | 8196 | 112 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) y) z) |
(+.f64 #s(literal 1 binary64) y) |
(*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) |
(/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) |
#s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) |
(-.f64 y #s(literal -1 binary64)) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) z) |
#s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) |
(*.f64 (neg.f64 z) x) |
(neg.f64 z) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 y z)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 y z) (/.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 x z) y) |
(*.f64 y (/.f64 x z)) |
(*.f64 x (*.f64 (pow.f64 z #s(literal -1 binary64)) y)) |
(*.f64 x (/.f64 y z)) |
(pow.f64 (/.f64 z (*.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) y)) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 y (neg.f64 x))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 y x))) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 z)) |
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 z)) |
(/.f64 (neg.f64 y) (neg.f64 (/.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y x)) (neg.f64 z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (*.f64 (neg.f64 x) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (*.f64 y (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 y x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x))) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 x z)) |
(*.f64 x (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (/.f64 z x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) z) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
(/.f64 x z) |
(neg.f64 (/.f64 (neg.f64 x) z)) |
(neg.f64 (/.f64 x (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 x (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))) (/.f64 (expm1.f64 (*.f64 (-.f64 (log1p.f64 y) (log.f64 z)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) x) |
(*.f64 x (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x) (*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) x) (neg.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 y #s(literal -1 binary64)) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 (-.f64 y #s(literal -1 binary64)) z)) (*.f64 x (/.f64 (-.f64 y #s(literal -1 binary64)) z)) (-.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x (/.f64 (-.f64 y #s(literal -1 binary64)) z)) (*.f64 x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (-.f64 (log1p.f64 y) (log.f64 z)) #s(literal 2 binary64))) x)) (neg.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (-.f64 (log1p.f64 y) (log.f64 z)) #s(literal 3 binary64))) x)) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 y #s(literal -1 binary64)) z)))) |
(/.f64 (neg.f64 (*.f64 x (expm1.f64 (*.f64 (-.f64 (log1p.f64 y) (log.f64 z)) #s(literal 2 binary64))))) (neg.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (expm1.f64 (*.f64 (-.f64 (log1p.f64 y) (log.f64 z)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 y #s(literal -1 binary64)) z)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (-.f64 (log1p.f64 y) (log.f64 z)) #s(literal 2 binary64))) x) (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (-.f64 (log1p.f64 y) (log.f64 z)) #s(literal 3 binary64))) x) (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 y #s(literal -1 binary64)) z))) |
(/.f64 (*.f64 x (expm1.f64 (*.f64 (-.f64 (log1p.f64 y) (log.f64 z)) #s(literal 2 binary64)))) (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64)) (*.f64 (expm1.f64 (*.f64 (-.f64 (log1p.f64 y) (log.f64 z)) #s(literal 2 binary64))) x))) |
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(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) |
(*.f64 (neg.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z)) |
(pow.f64 (/.f64 z #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (neg.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (/.f64 (neg.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64)) z) |
(/.f64 (*.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) (neg.f64 z)) |
(/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (neg.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))) z)) |
(neg.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))) #s(literal -1 binary64))) |
#s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal -1 binary64) y)) (fma.f64 (pow.f64 (+.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal -1 binary64) y)) (pow.f64 (+.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y y (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y y (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y y (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal -1 binary64) y)) (*.f64 (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) y) (+.f64 #s(literal -1 binary64) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)))) (*.f64 (fma.f64 y y (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))) #s(literal -1 binary64))) (*.f64 (fma.f64 y y (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))) (fma.f64 y y (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (-.f64 y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 y y (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 y y (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64)) |
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal -1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal -1 binary64) y)) (pow.f64 (+.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y y (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 y #s(literal -1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 y #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x))) |
(*.f64 (neg.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) z)) |
(pow.f64 (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (neg.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x))) #s(literal -1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x))))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (/.f64 (neg.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x))) #s(literal -1 binary64)) z) |
(/.f64 (*.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x))) (neg.f64 z)) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) z) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (neg.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x))) z)) |
(neg.f64 (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)))) #s(literal -1 binary64))) |
#s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) |
(*.f64 (*.f64 x #s(literal -1 binary64)) z) |
(*.f64 (neg.f64 z) x) |
(*.f64 #s(literal -1 binary64) (*.f64 z x)) |
(*.f64 z (neg.f64 x)) |
(*.f64 x (neg.f64 z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (*.f64 z x) (*.f64 #s(literal 0 binary64) (*.f64 z x))))) |
(neg.f64 (*.f64 z x)) |
(-.f64 #s(literal 0 binary64) (*.f64 z x)) |
(*.f64 #s(literal -1 binary64) z) |
(*.f64 z #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 0 binary64) (neg.f64 z))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z))) (neg.f64 (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))))) |
(neg.f64 z) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 z z) (+.f64 #s(literal 0 binary64) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(-.f64 #s(literal 0 binary64) z) |
(+.f64 #s(literal 0 binary64) (neg.f64 z)) |
Compiled 6 920 to 1 288 computations (81.4% saved)
12 alts after pruning (0 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 362 | 0 | 362 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 8 | 8 |
| Total | 362 | 12 | 374 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 90.0% | (/.f64 (fma.f64 (-.f64 y z) x x) z) |
| ✓ | 67.6% | (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
| ✓ | 24.8% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) z) |
| ✓ | 40.2% | (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
| ✓ | 41.1% | (/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) |
| ✓ | 67.8% | (*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) |
| ✓ | 97.2% | (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) |
| ✓ | 42.2% | #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) |
| ✓ | 65.6% | #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
| ✓ | 40.5% | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) |
| ✓ | 42.8% | #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
| ✓ | 31.8% | #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
Compiled 403 to 193 computations (52.1% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 y (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 x) z)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) z) |
(*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) |
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) |
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
(/.f64 (fma.f64 y x (fma.f64 (neg.f64 x) z x)) z) |
(/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (+.f64 z y)) x) z) |
| Outputs |
|---|
(/.f64 (fma.f64 y x (fma.f64 (neg.f64 x) z x)) z) |
(/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) |
4 calls:
| 32.0ms | x |
| 6.0ms | z |
| 6.0ms | y |
| 5.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | x |
| 97.9% | 1 | y |
| 97.9% | 1 | z |
| 97.9% | 1 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 y (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 x) z)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) z) |
(*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) |
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) |
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
(/.f64 (fma.f64 y x (fma.f64 (neg.f64 x) z x)) z) |
| Outputs |
|---|
(/.f64 (fma.f64 y x (fma.f64 (neg.f64 x) z x)) z) |
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 y (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 x) z)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) z) |
(*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) |
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) |
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y))) |
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Outputs |
|---|
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 y (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 x) z)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) z) |
(*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
(/.f64 (fma.f64 (-.f64 y z) x x) z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
4 calls:
| 11.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 4.0ms | x |
| 4.0ms | z |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.4% | 3 | y |
| 95.1% | 3 | z |
| 92.4% | 2 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 92.0% | 2 | x |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 y (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 x) z)) z) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 (neg.f64 z) x)) z) |
(*.f64 (/.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) z) x) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
4 calls:
| 7.0ms | z |
| 4.0ms | x |
| 3.0ms | y |
| 3.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.6% | 4 | x |
| 84.9% | 4 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 88.4% | 3 | y |
| 89.9% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 y (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 y (/.f64 x z))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 y (/.f64 x z))) |
2 calls:
| 3.0ms | z |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.4% | 3 | y |
| 70.9% | 3 | z |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
4 calls:
| 3.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.6% | 1 | z |
| 65.6% | 1 | x |
| 65.6% | 1 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 65.6% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
4 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 31.8% | 1 | y |
| 31.8% | 1 | (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) |
| 31.8% | 1 | z |
| 31.8% | 1 | x |
Compiled 12 to 17 computations (-41.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 1.4417492989065133e-8 | 0.0002377219772246557 |
| 28.0ms | 128× | 0 | valid |
Compiled 164 to 150 computations (8.5% saved)
ival-sub: 1.0ms (30.6% of total)ival-div: 1.0ms (30.6% of total)ival-add: 1.0ms (30.6% of total)ival-mult: 1.0ms (30.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 27852692250691.76 | 246852465966100160.0 |
| 1.0ms | 16× | 0 | valid |
Compiled 31 to 31 computations (0% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 27852692250691.76 | 246852465966100160.0 |
Compiled 29 to 30 computations (-3.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 4.3828217368341173e+235 | 5.170240879467526e+246 |
| 12.0ms | -1.063635958201799e+210 | -1.2448606869691655e+205 |
| 22.0ms | 304× | 0 | valid |
Compiled 392 to 356 computations (9.2% saved)
ival-sub: 2.0ms (26.5% of total)ival-div: 2.0ms (26.5% of total)ival-mult: 2.0ms (26.5% of total)ival-add: 1.0ms (13.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 2.5881279781131467e+33 | 6.4467679881207314e+35 |
| 7.0ms | -1.7166906367884213e+52 | -7.099770518155484e+51 |
| 12.0ms | 192× | 0 | valid |
Compiled 324 to 278 computations (14.2% saved)
ival-sub: 1.0ms (20.1% of total)ival-div: 1.0ms (20.1% of total)ival-add: 1.0ms (20.1% of total)ival-mult: 1.0ms (20.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 41.0ms | 1.5607467857287692e+49 | 1.6103326786303465e+51 |
| 12.0ms | -3.796954803639152e+23 | -441672021075565.6 |
| 12.0ms | 256× | 0 | valid |
Compiled 492 to 398 computations (19.1% saved)
ival-div: 2.0ms (31.5% of total)ival-mult: 2.0ms (31.5% of total)ival-sub: 1.0ms (15.7% of total)ival-add: 1.0ms (15.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 197 |
| 1 | 92 | 197 |
| 2 | 131 | 197 |
| 3 | 242 | 197 |
| 4 | 452 | 197 |
| 5 | 1021 | 197 |
| 6 | 2409 | 197 |
| 7 | 5183 | 197 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 x #s(literal 8689154328480147/75557863725914323419136 binary64)) (/.f64 (fma.f64 y x (fma.f64 (neg.f64 x) z x)) z) (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))))) |
(if (<=.f64 x #s(literal 50000000000000 binary64)) (/.f64 (fma.f64 y x (fma.f64 (neg.f64 x) z x)) z) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x)) |
(if (<=.f64 x #s(literal 50000000000000 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x)) |
(if (<=.f64 z #s(literal -12500000000000000486169719388604855391342156161900251666787797750961411786173112095384995700984712673415807538992651661419146326426179695206752295902658617544304323282827117943070806975956993277415280082944 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 44000000000000000080093698190450560007262062367376153601687551661731102951363983926062954592978141675014038603791055636718689559980238814543307059056977018956233878958713698314542029822383569759330382653365429316723554911441955915300864 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)))) |
(if (<=.f64 z #s(literal -8999999999999999938988538069254651788155375977496576 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 2599999999999999743203450105626624 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)))) |
(if (<=.f64 y #s(literal -480000000000000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 y (/.f64 x z))) (if (<=.f64 y #s(literal 64000000000000002806133954884876630696579049717760 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 y (/.f64 x z))))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
| Outputs |
|---|
(if (<=.f64 x #s(literal 8689154328480147/75557863725914323419136 binary64)) (/.f64 (fma.f64 y x (fma.f64 (neg.f64 x) z x)) z) (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))))) |
(if (<=.f64 x #s(literal 50000000000000 binary64)) (/.f64 (fma.f64 y x (fma.f64 (neg.f64 x) z x)) z) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x)) |
(if (<=.f64 x #s(literal 50000000000000 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x)) |
(if (<=.f64 z #s(literal -12500000000000000486169719388604855391342156161900251666787797750961411786173112095384995700984712673415807538992651661419146326426179695206752295902658617544304323282827117943070806975956993277415280082944 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 44000000000000000080093698190450560007262062367376153601687551661731102951363983926062954592978141675014038603791055636718689559980238814543307059056977018956233878958713698314542029822383569759330382653365429316723554911441955915300864 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)))) |
(if (or (<=.f64 z #s(literal -12500000000000000486169719388604855391342156161900251666787797750961411786173112095384995700984712673415807538992651661419146326426179695206752295902658617544304323282827117943070806975956993277415280082944 binary64)) (not (<=.f64 z #s(literal 44000000000000000080093698190450560007262062367376153601687551661731102951363983926062954592978141675014038603791055636718689559980238814543307059056977018956233878958713698314542029822383569759330382653365429316723554911441955915300864 binary64)))) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (/.f64 (fma.f64 (-.f64 y z) x x) z)) |
(if (<=.f64 z #s(literal -8999999999999999938988538069254651788155375977496576 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 2599999999999999743203450105626624 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)))) |
(if (or (<=.f64 z #s(literal -8999999999999999938988538069254651788155375977496576 binary64)) (not (<=.f64 z #s(literal 2599999999999999743203450105626624 binary64)))) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)) |
(if (<=.f64 y #s(literal -480000000000000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 y (/.f64 x z))) (if (<=.f64 y #s(literal 64000000000000002806133954884876630696579049717760 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 y (/.f64 x z))))) |
(if (or (<=.f64 y #s(literal -480000000000000 binary64)) (not (<=.f64 y #s(literal 64000000000000002806133954884876630696579049717760 binary64)))) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 y (/.f64 x z))) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))) |
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) |
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 198 |
| 1 | 263 | 198 |
| 2 | 813 | 198 |
| 3 | 2537 | 197 |
| 4 | 6132 | 196 |
| 0 | 8321 | 181 |
| 0 | 27 | 124 |
| 0 | 39 | 124 |
| 1 | 156 | 124 |
| 2 | 1046 | 124 |
| 0 | 8655 | 119 |
| 0 | 23 | 105 |
| 0 | 36 | 102 |
| 1 | 157 | 100 |
| 2 | 1045 | 100 |
| 0 | 8651 | 100 |
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 59 | 24 |
| 2 | 452 | 24 |
| 3 | 7471 | 24 |
| 0 | 8566 | 22 |
| 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 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 428 to 216 computations (49.5% saved)
Compiled 532 to 206 computations (61.3% saved)
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