
Time bar (total: 5.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 9 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 10 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 11 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 456.0ms | 8 256× | 0 | valid |
ival-add: 80.0ms (38.2% of total)ival-div: 63.0ms (30.1% of total)ival-sub: 56.0ms (26.7% of total)ival-true: 6.0ms (2.9% of total)ival-assert: 3.0ms (1.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 y x) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 y x) z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x (/.f64 (-.f64 y x) z)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 26.0ms | 512× | 0 | valid |
Compiled 65 to 28 computations (56.9% saved)
ival-div: 4.0ms (40.3% of total)ival-sub: 3.0ms (30.2% of total)ival-add: 2.0ms (20.1% of total)ival-true: 1.0ms (10.1% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 72 |
| 1 | 78 | 63 |
| 2 | 229 | 63 |
| 3 | 685 | 63 |
| 4 | 1740 | 63 |
| 5 | 3200 | 63 |
| 6 | 3616 | 63 |
| 7 | 3844 | 63 |
| 8 | 3967 | 63 |
| 9 | 4015 | 63 |
| 10 | 4015 | 63 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 15 | 7 |
| 2 | 26 | 7 |
| 3 | 45 | 7 |
| 4 | 88 | 7 |
| 5 | 160 | 7 |
| 6 | 352 | 7 |
| 7 | 669 | 7 |
| 8 | 965 | 7 |
| 9 | 1077 | 7 |
| 10 | 1125 | 7 |
| 11 | 1164 | 7 |
| 0 | 1164 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 x (/.f64 (-.f64 y x) z)) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (/.f64 (-.f64 y x) z) | |
| cost-diff | 0 | (+.f64 x (/.f64 (-.f64 y x) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 9 | 18 |
| 1 | 15 | 18 |
| 2 | 26 | 18 |
| 3 | 45 | 18 |
| 4 | 88 | 18 |
| 5 | 160 | 18 |
| 6 | 352 | 18 |
| 7 | 669 | 18 |
| 8 | 965 | 18 |
| 9 | 1077 | 18 |
| 10 | 1125 | 18 |
| 11 | 1164 | 18 |
| 0 | 1164 | 18 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
x |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
y |
z |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
x |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
y |
z |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 y x) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 y x) z) | |
| accuracy | 0.0078125 | (+.f64 x (/.f64 (-.f64 y x) z)) |
| 15.0ms | 256× | 0 | valid |
Compiled 38 to 14 computations (63.2% saved)
ival-sub: 2.0ms (39.1% of total)ival-div: 2.0ms (39.1% of total)ival-add: 1.0ms (19.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
| Outputs |
|---|
(/ y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+ (* -1 (/ x z)) (/ y z)) |
y |
(+ y (* -1 x)) |
(* x (- 1 (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* -1 (/ x z)) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(- x (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- y x) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(* -1 (* y (- (/ x y) 1))) |
(/ (- y x) z) |
(/ (- (+ y (* x z)) x) z) |
x |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | ((+ x (/ (- y x) z)) (/ (- y x) z) (- y x)) |
| 1.0ms | x | @ | inf | ((+ x (/ (- y x) z)) (/ (- y x) z) (- y x)) |
| 1.0ms | x | @ | -inf | ((+ x (/ (- y x) z)) (/ (- y x) z) (- y x)) |
| 1.0ms | x | @ | 0 | ((+ x (/ (- y x) z)) (/ (- y x) z) (- y x)) |
| 1.0ms | y | @ | inf | ((+ x (/ (- y x) z)) (/ (- y x) z) (- y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 173 |
| 1 | 198 | 125 |
| 2 | 553 | 125 |
| 3 | 1600 | 125 |
| 4 | 3692 | 125 |
| 5 | 5299 | 125 |
| 6 | 6767 | 125 |
| 7 | 7045 | 125 |
| 8 | 7147 | 125 |
| 9 | 7147 | 125 |
| 0 | 8403 | 124 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+ (* -1 (/ x z)) (/ y z)) |
y |
(+ y (* -1 x)) |
(* x (- 1 (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* -1 (/ x z)) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(- x (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- y x) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(* -1 (* y (- (/ x y) 1))) |
(/ (- y x) z) |
(/ (- (+ y (* x z)) x) z) |
x |
| Outputs |
|---|
(/ y z) |
(/.f64 y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(+ (* -1 (/ x z)) (/ y z)) |
(/.f64 (-.f64 y x) z) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(* x (- 1 (/ 1 z))) |
(-.f64 x (/.f64 x z)) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* -1 (* x (- (/ 1 z) 1))) |
(-.f64 x (/.f64 x z)) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(- x (/ x z)) |
(-.f64 x (/.f64 x z)) |
(- (+ x (/ y z)) (/ x z)) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(- y x) |
(-.f64 y x) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- (+ y (* x z)) x) z) |
(/.f64 (fma.f64 z x (-.f64 y x)) z) |
x |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 46 | 15 |
| 2 | 408 | 15 |
| 3 | 5424 | 15 |
| 0 | 8212 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z)) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 (/.f64 (-.f64 x y) z) (-.f64 (/.f64 (-.f64 y x) z) x)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z)) (-.f64 (*.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)))) (+.f64 (/.f64 (-.f64 y x) z) x)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)))) (fma.f64 (/.f64 (-.f64 y x) z) (+.f64 (/.f64 (-.f64 y x) z) x) (*.f64 x x))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (/.f64 (-.f64 y x) z) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 y x) z) x)) |
(*.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)) (/.f64 (+.f64 (/.f64 (-.f64 y x) z) x) (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)) (*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (-.f64 x (/.f64 (-.f64 y x) z)))) |
(*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) (*.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (-.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 y x) z) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 y x) z) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -4 binary64))) (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -6 binary64))) (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -6 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -6 binary64))) (pow.f64 (*.f64 (/.f64 (-.f64 y x) z) x) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 x (/.f64 (-.f64 y x) z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 y z) x) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (-.f64 y x) z)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (-.f64 y x) z))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x (/.f64 (-.f64 y x) z))) (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (-.f64 y x) z))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 x z) x) #s(literal 2 binary64))) (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 y z) x) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (/.f64 y z) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (-.f64 y x) z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (-.f64 y x) z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (-.f64 y x) z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (-.f64 y x) z))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (-.f64 y x) z)))) (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (-.f64 y x) z))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 x z) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (/.f64 x z) x) #s(literal 2 binary64)) (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (-.f64 y x) z) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 (-.f64 y x) z))) (*.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)))) (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -4 binary64))) (*.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (fma.f64 x x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))))) |
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(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64))) (fma.f64 y (/.f64 y (+.f64 y x)) (*.f64 x (/.f64 x (+.f64 y x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (neg.f64 x) y)) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 y (+.f64 y x))) (*.f64 x (/.f64 x (+.f64 y x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 x x))) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 y x) (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (neg.f64 (+.f64 y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) y)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(neg.f64 (-.f64 x y)) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 y x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y x) x) (-.f64 (*.f64 (+.f64 y x) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 y x) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 #s(literal -1 binary64) x y) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 #s(literal 1 binary64) y)) |
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 y (/.f64 y (+.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(fma.f64 x #s(literal -1 binary64) y) |
(-.f64 (+.f64 y #s(literal 0 binary64)) x) |
(-.f64 (*.f64 y (/.f64 y (+.f64 y x))) (*.f64 x (/.f64 x (+.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))) |
(-.f64 #s(literal 0 binary64) (-.f64 x y)) |
(-.f64 y x) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64))) |
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) y)) |
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 x)) |
(+.f64 (*.f64 y (/.f64 y (+.f64 y x))) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(+.f64 (neg.f64 x) y) |
(+.f64 y (neg.f64 x)) |
Compiled 7 058 to 1 079 computations (84.7% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 341 | 6 | 347 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 341 | 7 | 348 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.8% | (-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
| 67.1% | (+.f64 x (/.f64 (fma.f64 z y (*.f64 (neg.f64 z) x)) (*.f64 z z))) | |
| ✓ | 100.0% | (+.f64 x (/.f64 (-.f64 y x) z)) |
| ▶ | 90.0% | #s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z)) |
| ▶ | 58.9% | #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
| ▶ | 40.3% | #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
| ▶ | 64.4% | #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
Compiled 157 to 110 computations (29.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (fma.f64 z x (-.f64 y x)) | |
| cost-diff | 0 | #s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z)) | |
| cost-diff | 192 | (/.f64 (fma.f64 z x (-.f64 y x)) z) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (/.f64 (-.f64 y x) z) | |
| cost-diff | 0 | #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (-.f64 x (/.f64 x z)) | |
| cost-diff | 0 | #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (-.f64 (/.f64 x z) x) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 704 | (-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 122 |
| 0 | 29 | 119 |
| 1 | 42 | 119 |
| 2 | 71 | 119 |
| 3 | 140 | 119 |
| 4 | 324 | 119 |
| 5 | 755 | 118 |
| 6 | 1732 | 118 |
| 7 | 3096 | 118 |
| 8 | 4114 | 118 |
| 9 | 4853 | 118 |
| 10 | 5165 | 118 |
| 11 | 5327 | 118 |
| 12 | 5353 | 118 |
| 13 | 5381 | 118 |
| 14 | 5865 | 118 |
| 15 | 6482 | 118 |
| 16 | 6580 | 118 |
| 17 | 6612 | 118 |
| 18 | 6658 | 118 |
| 19 | 6686 | 118 |
| 20 | 6706 | 118 |
| 21 | 6780 | 118 |
| 22 | 7062 | 118 |
| 23 | 7726 | 118 |
| 24 | 7890 | 118 |
| 0 | 8249 | 118 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(/.f64 y z) |
y |
z |
(-.f64 (/.f64 x z) x) |
(/.f64 x z) |
x |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
(-.f64 x (/.f64 x z)) |
x |
(/.f64 x z) |
z |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
y |
x |
z |
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z)) |
(/.f64 (fma.f64 z x (-.f64 y x)) z) |
(fma.f64 z x (-.f64 y x)) |
z |
x |
(-.f64 y x) |
y |
| Outputs |
|---|
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(/.f64 y z) |
y |
z |
(-.f64 (/.f64 x z) x) |
(/.f64 x z) |
x |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
(-.f64 x (/.f64 x z)) |
x |
(/.f64 x z) |
z |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
y |
x |
z |
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 (-.f64 x y) z))) |
(/.f64 (fma.f64 z x (-.f64 y x)) z) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(fma.f64 z x (-.f64 y x)) |
(fma.f64 x z (-.f64 y x)) |
z |
x |
(-.f64 y x) |
y |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 z x (-.f64 y x)) | |
| accuracy | 0.0 | (-.f64 y x) | |
| accuracy | 0.0 | #s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z)) | |
| accuracy | 6.3867085122800535 | (/.f64 (fma.f64 z x (-.f64 y x)) z) | |
| accuracy | 0.0 | (-.f64 y x) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 y x) z) | |
| accuracy | 26.271471916765208 | #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 0.0078125 | (-.f64 x (/.f64 x z)) | |
| accuracy | 22.78351579796646 | #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) | |
| accuracy | 0.0 | (/.f64 y z) | |
| accuracy | 38.23953062937492 | #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) | |
| accuracy | 0.0 | (/.f64 y z) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 0.0078125 | (-.f64 (/.f64 x z) x) | |
| accuracy | 0.6523416858302059 | (-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
| 34.0ms | 256× | 0 | valid |
Compiled 223 to 35 computations (84.3% saved)
ival-sub: 10.0ms (46.6% of total)ival-div: 7.0ms (32.6% of total)ival-add: 2.0ms (9.3% of total)ival-mult: 2.0ms (9.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(/.f64 y z) |
(-.f64 (/.f64 x z) x) |
(/.f64 x z) |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
(-.f64 x (/.f64 x z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
(/.f64 (fma.f64 z x (-.f64 y x)) z) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z)) |
(fma.f64 z x (-.f64 y x)) |
| Outputs |
|---|
(/ y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(* x (- (/ 1 z) 1)) |
(/ x z) |
(* x (- 1 (/ 1 z))) |
(+ (* -1 (/ x z)) (/ y z)) |
y |
(+ y (* -1 x)) |
(+ y (* x (- z 1))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* -1 (/ x z)) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(/ (* x (- z 1)) z) |
(* x (- z 1)) |
(* x (- (+ z (/ y x)) 1)) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (- 1 (/ 1 z)))) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (/ (* x (+ 1 (* -1 z))) z)) |
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z))))) |
(* -1 (* x (+ 1 (* -1 z)))) |
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x)))))) |
(- x (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- y x) |
(/ (- (* x z) x) z) |
(- (* x z) x) |
(- (+ y (* x z)) x) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (- (+ 1 (/ (* x z) y)) (/ x y))) |
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1))) |
(/ (- y x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ (+ x (* -1 (* x z))) z) |
x |
(- (/ x z) x) |
(+ x (* -1 (/ x z))) |
(* x z) |
(* z (- (+ x (/ y z)) (/ x z))) |
(+ x (* -1 (/ (- (* -1 y) (* -1 x)) z))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | ((- (/ y z) (- (/ x z) x)) (/ y z) (- (/ x z) x) (/ x z) (+ x (/ (- y x) z)) (+ x (/ (- y x) z)) (- x (/ x z)) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (/ (+ (* z x) (- y x)) z) (+ x (/ (- y x) z)) (+ (* z x) (- y x))) |
| 2.0ms | z | @ | -inf | ((- (/ y z) (- (/ x z) x)) (/ y z) (- (/ x z) x) (/ x z) (+ x (/ (- y x) z)) (+ x (/ (- y x) z)) (- x (/ x z)) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (/ (+ (* z x) (- y x)) z) (+ x (/ (- y x) z)) (+ (* z x) (- y x))) |
| 2.0ms | x | @ | -inf | ((- (/ y z) (- (/ x z) x)) (/ y z) (- (/ x z) x) (/ x z) (+ x (/ (- y x) z)) (+ x (/ (- y x) z)) (- x (/ x z)) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (/ (+ (* z x) (- y x)) z) (+ x (/ (- y x) z)) (+ (* z x) (- y x))) |
| 1.0ms | x | @ | inf | ((- (/ y z) (- (/ x z) x)) (/ y z) (- (/ x z) x) (/ x z) (+ x (/ (- y x) z)) (+ x (/ (- y x) z)) (- x (/ x z)) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (/ (+ (* z x) (- y x)) z) (+ x (/ (- y x) z)) (+ (* z x) (- y x))) |
| 1.0ms | z | @ | 0 | ((- (/ y z) (- (/ x z) x)) (/ y z) (- (/ x z) x) (/ x z) (+ x (/ (- y x) z)) (+ x (/ (- y x) z)) (- x (/ x z)) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (/ (+ (* z x) (- y x)) z) (+ x (/ (- y x) z)) (+ (* z x) (- y x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 122 | 331 |
| 1 | 367 | 269 |
| 2 | 1029 | 269 |
| 3 | 3338 | 269 |
| 4 | 6042 | 269 |
| 0 | 8090 | 261 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(* x (- (/ 1 z) 1)) |
(/ x z) |
(* x (- 1 (/ 1 z))) |
(+ (* -1 (/ x z)) (/ y z)) |
y |
(+ y (* -1 x)) |
(+ y (* x (- z 1))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* -1 (/ x z)) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(/ (* x (- z 1)) z) |
(* x (- z 1)) |
(* x (- (+ z (/ y x)) 1)) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (- 1 (/ 1 z)))) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (/ (* x (+ 1 (* -1 z))) z)) |
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z))))) |
(* -1 (* x (+ 1 (* -1 z)))) |
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x)))))) |
(- x (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- y x) |
(/ (- (* x z) x) z) |
(- (* x z) x) |
(- (+ y (* x z)) x) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (- (+ 1 (/ (* x z) y)) (/ x y))) |
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1))) |
(/ (- y x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ (+ x (* -1 (* x z))) z) |
x |
(- (/ x z) x) |
(+ x (* -1 (/ x z))) |
(* x z) |
(* z (- (+ x (/ y z)) (/ x z))) |
(+ x (* -1 (/ (- (* -1 y) (* -1 x)) z))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z))))) |
| Outputs |
|---|
(/ y z) |
(/.f64 y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(* x (- (/ 1 z) 1)) |
(-.f64 (/.f64 x z) x) |
(/ x z) |
(/.f64 x z) |
(* x (- 1 (/ 1 z))) |
(-.f64 x (/.f64 x z)) |
(+ (* -1 (/ x z)) (/ y z)) |
(/.f64 (-.f64 y x) z) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(+ y (* x (- z 1))) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(/ (* x (- z 1)) z) |
(-.f64 x (/.f64 x z)) |
(* x (- z 1)) |
(*.f64 (-.f64 z #s(literal 1 binary64)) x) |
(* x (- (+ z (/ y x)) 1)) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y) |
(* -1 (* x (- (/ 1 z) 1))) |
(-.f64 x (/.f64 x z)) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(* -1 (* x (- 1 (/ 1 z)))) |
(-.f64 (/.f64 x z) x) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (/ (* x (+ 1 (* -1 z))) z)) |
(-.f64 x (/.f64 x z)) |
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z))))) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(* -1 (* x (+ 1 (* -1 z)))) |
(*.f64 (-.f64 z #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y) |
(- x (/ x z)) |
(-.f64 x (/.f64 x z)) |
(- (+ x (/ y z)) (/ x z)) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(- y x) |
(-.f64 y x) |
(/ (- (* x z) x) z) |
(-.f64 x (/.f64 x z)) |
(- (* x z) x) |
(*.f64 (-.f64 z #s(literal 1 binary64)) x) |
(- (+ y (* x z)) x) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* y (- (+ 1 (/ (* x z) y)) (/ x y))) |
(*.f64 (fma.f64 (/.f64 x y) (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) y) |
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z)))) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1))) |
(*.f64 (fma.f64 (/.f64 x y) (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) y) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- (+ y (* x z)) x) z) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(/ (+ x (* -1 (* x z))) z) |
(-.f64 (/.f64 x z) x) |
x |
(- (/ x z) x) |
(-.f64 (/.f64 x z) x) |
(+ x (* -1 (/ x z))) |
(-.f64 x (/.f64 x z)) |
(* x z) |
(*.f64 x z) |
(* z (- (+ x (/ y z)) (/ x z))) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y) |
(+ x (* -1 (/ (- (* -1 y) (* -1 x)) z))) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z))))) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 100 |
| 0 | 29 | 98 |
| 1 | 129 | 98 |
| 2 | 1284 | 98 |
| 0 | 8671 | 98 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(/.f64 y z) |
(-.f64 (/.f64 x z) x) |
(/.f64 x z) |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
(-.f64 x (/.f64 x z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
(/.f64 (fma.f64 z x (-.f64 y x)) z) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z)) |
(fma.f64 z x (-.f64 y x)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 x z) x) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 x z) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 x z) x) (+.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 x z) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 (/.f64 x z) x) (+.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 x z) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (-.f64 y x) z) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 x z) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (/.f64 x z) x) (/.f64 y z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 (-.f64 y x) z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 x z) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 x z) x) (+.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x) (*.f64 x x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) x)) (*.f64 (/.f64 z y) (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 x x))))) (neg.f64 (*.f64 (/.f64 z y) (+.f64 (/.f64 x z) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (*.f64 (/.f64 z y) (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (*.f64 (/.f64 z y) (fma.f64 x (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 y) (+.f64 (/.f64 x z) x)) (*.f64 (neg.f64 z) (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 x x))))) (neg.f64 (*.f64 (neg.f64 z) (+.f64 (/.f64 x z) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 y) (fma.f64 x (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (*.f64 (neg.f64 z) (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (*.f64 (neg.f64 z) (fma.f64 x (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y (+.f64 (/.f64 x z) x)) (*.f64 z (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 x x))))) (neg.f64 (*.f64 z (+.f64 (/.f64 x z) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y (fma.f64 x (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (*.f64 z (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (*.f64 z (fma.f64 x (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 x z) x) (/.f64 y z))) (*.f64 (+.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) (pow.f64 (-.f64 (/.f64 x z) x) #s(literal 2 binary64)))) (*.f64 (+.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) (+.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 (-.f64 y x) z))) (*.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)))) (*.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (-.f64 x (/.f64 (-.f64 y x) z)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 x z) x) (+.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (*.f64 (fma.f64 (-.f64 (/.f64 x z) x) (+.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 x z) x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 (/.f64 x z) x) (+.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 x z) x) (+.f64 (-.f64 (/.f64 x z) x) (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 y)) (-.f64 (/.f64 x z) (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 z)) (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 x x)))) (*.f64 (neg.f64 (neg.f64 z)) (-.f64 (/.f64 x z) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 y)) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 x z) (neg.f64 x))))) (*.f64 (neg.f64 (neg.f64 z)) (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (neg.f64 (neg.f64 z)) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 x z) (neg.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (+.f64 (/.f64 x z) x))) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 x x))))) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (+.f64 (/.f64 x z) x)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (fma.f64 x (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (fma.f64 x (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 y)) (+.f64 (/.f64 x z) x)) (*.f64 (neg.f64 (neg.f64 z)) (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 x x)))) (*.f64 (neg.f64 (neg.f64 z)) (+.f64 (/.f64 x z) x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 y)) (/.f64 (+.f64 (/.f64 x z) x) (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 x x)))) (*.f64 (neg.f64 (neg.f64 z)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 z)) (/.f64 (+.f64 (/.f64 x z) x) (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 y)) (/.f64 (fma.f64 x (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (neg.f64 (neg.f64 z)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 z)) (/.f64 (fma.f64 x (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 y)) (fma.f64 x (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (*.f64 (neg.f64 (neg.f64 z)) (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (neg.f64 (neg.f64 z)) (fma.f64 x (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) (-.f64 (/.f64 x z) (neg.f64 x))) (*.f64 z (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 x x)))) (*.f64 z (-.f64 (/.f64 x z) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 x z) (neg.f64 x))))) (*.f64 z (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 z (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 x z) (neg.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) (neg.f64 (+.f64 (/.f64 x z) x))) (*.f64 z (neg.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 x x))))) (*.f64 z (neg.f64 (+.f64 (/.f64 x z) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) (neg.f64 (fma.f64 x (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))) (*.f64 z (neg.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 z (neg.f64 (fma.f64 x (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) (+.f64 (/.f64 x z) x)) (*.f64 z (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 x x)))) (*.f64 z (+.f64 (/.f64 x z) x))) |
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(-.f64 x (/.f64 x z)) |
(+.f64 (/.f64 (neg.f64 x) z) x) |
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#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
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(/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (fma.f64 x z (neg.f64 (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x z (neg.f64 (-.f64 y x))) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y x) (-.f64 (-.f64 y x) (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 x z) (-.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (fma.f64 (-.f64 y x) (-.f64 (-.f64 y x) (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (*.f64 x z)) |
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) (*.f64 x z)) |
(fma.f64 x z (-.f64 y x)) |
(fma.f64 z x (-.f64 y x)) |
(-.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (fma.f64 x z (neg.f64 (-.f64 y x)))) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fma.f64 x z (neg.f64 (-.f64 y x))))) |
(-.f64 (fma.f64 x z y) x) |
(-.f64 y (-.f64 x (*.f64 x z))) |
(+.f64 (fma.f64 x z y) (neg.f64 x)) |
(+.f64 (*.f64 x z) (-.f64 y x)) |
(+.f64 (-.f64 y x) (*.f64 x z)) |
(+.f64 y (fma.f64 #s(literal -1 binary64) x (*.f64 x z))) |
Compiled 16 681 to 2 052 computations (87.7% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 625 | 3 | 628 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 627 | 8 | 635 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 x (/.f64 (-.f64 y x) z)) |
| ✓ | 90.0% | #s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z)) |
| ✓ | 58.9% | #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
| ▶ | 24.6% | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
| ✓ | 40.3% | #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
| ▶ | 89.8% | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 x z (-.f64 y x))))) |
| ▶ | 57.8% | #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) |
| ✓ | 64.4% | #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
Compiled 109 to 74 computations (32.1% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- y x) (neg.f64 x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- y x) (neg.f64 x)) z) | |
| cost-diff | 0 | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) | |
| cost-diff | 0 | (fma.f64 x z (-.f64 y x)) | |
| cost-diff | 0 | (/.f64 z (fma.f64 x z (-.f64 y x))) | |
| cost-diff | 0 | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 x z (-.f64 y x))))) | |
| cost-diff | 896 | (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 x z (-.f64 y x)))) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) | |
| cost-diff | 704 | (-.f64 (/.f64 y z) (/.f64 x z)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 114 |
| 0 | 30 | 110 |
| 1 | 46 | 110 |
| 2 | 81 | 106 |
| 3 | 190 | 106 |
| 4 | 440 | 104 |
| 5 | 841 | 104 |
| 6 | 2153 | 104 |
| 7 | 4963 | 104 |
| 8 | 6577 | 104 |
| 9 | 7018 | 104 |
| 10 | 7102 | 104 |
| 11 | 7132 | 104 |
| 12 | 7165 | 104 |
| 13 | 7171 | 104 |
| 14 | 7420 | 104 |
| 15 | 7583 | 104 |
| 16 | 7634 | 104 |
| 17 | 7656 | 104 |
| 18 | 7764 | 104 |
| 19 | 7990 | 104 |
| 0 | 8021 | 104 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) |
(-.f64 (/.f64 y z) (/.f64 x z)) |
(/.f64 y z) |
y |
z |
(/.f64 x z) |
x |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 x z (-.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 x z (-.f64 y x)))) |
#s(literal 1 binary64) |
(/.f64 z (fma.f64 x z (-.f64 y x))) |
z |
(fma.f64 x z (-.f64 y x)) |
x |
(-.f64 y x) |
y |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
(/.f64 #s(approx (- y x) (neg.f64 x)) z) |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
x |
z |
| Outputs |
|---|
#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(-.f64 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 y x) z) |
(/.f64 y z) |
y |
z |
(/.f64 x z) |
x |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 x z (-.f64 y x))))) |
#s(approx (+ x (/ (- y x) z)) (+.f64 (/.f64 (-.f64 y x) z) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 x z (-.f64 y x)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
#s(literal 1 binary64) |
(/.f64 z (fma.f64 x z (-.f64 y x))) |
(/.f64 z (fma.f64 z x (-.f64 y x))) |
z |
(fma.f64 x z (-.f64 y x)) |
(fma.f64 z x (-.f64 y x)) |
x |
(-.f64 y x) |
y |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
(/.f64 #s(approx (- y x) (neg.f64 x)) z) |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
x |
z |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.0078125 | (/.f64 #s(approx (- y x) (neg.f64 x)) z) | |
| accuracy | 26.271471916765208 | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) | |
| accuracy | 31.4880677176248 | #s(approx (- y x) (neg.f64 x)) | |
| accuracy | 0.0 | (-.f64 y x) | |
| accuracy | 0.0 | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 x z (-.f64 y x))))) | |
| accuracy | 0.1953125 | (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 x z (-.f64 y x)))) | |
| accuracy | 6.420383778904102 | (/.f64 z (fma.f64 x z (-.f64 y x))) | |
| accuracy | 0.0 | (/.f64 y z) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 0.6562479358302059 | (-.f64 (/.f64 y z) (/.f64 x z)) | |
| accuracy | 26.271471916765208 | #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) |
| 28.0ms | 256× | 0 | valid |
Compiled 199 to 37 computations (81.4% saved)
ival-div: 8.0ms (47.7% of total)ival-sub: 3.0ms (17.9% of total)ival-add: 2.0ms (11.9% of total)ival-mult: 2.0ms (11.9% of total)ival-neg: 1.0ms (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 (/.f64 y z) (/.f64 x z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) |
(/.f64 y z) |
(/.f64 x z) |
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 x z (-.f64 y x)))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 x z (-.f64 y x))))) |
(/.f64 z (fma.f64 x z (-.f64 y x))) |
(fma.f64 x z (-.f64 y x)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
(/.f64 #s(approx (- y x) (neg.f64 x)) z) |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
(-.f64 y x) |
| Outputs |
|---|
(/ y z) |
(+ (* -1 (/ x z)) (/ y z)) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(/ x z) |
(/ z y) |
(+ (* -1 (/ (* x (* z (- z 1))) (pow y 2))) (/ z y)) |
(+ (* x (- (/ (* x (* z (pow (- z 1) 2))) (pow y 3)) (/ (* z (- z 1)) (pow y 2)))) (/ z y)) |
(+ (* x (- (* x (- (* -1 (/ (* x (* z (pow (- z 1) 3))) (pow y 4))) (* -1 (/ (* z (pow (- z 1) 2)) (pow y 3))))) (/ (* z (- z 1)) (pow y 2)))) (/ z y)) |
y |
(+ y (* x (- z 1))) |
(+ y (* -1 x)) |
(* -1 x) |
(* -1 (/ x z)) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* x (- 1 (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(/ (* x (- z 1)) z) |
(/ z (* x (- z 1))) |
(/ (+ (* -1 (/ (* y z) (* x (pow (- z 1) 2)))) (/ z (- z 1))) x) |
(/ (- (+ (/ z (- z 1)) (/ (* (pow y 2) z) (* (pow x 2) (pow (- z 1) 3)))) (/ (* y z) (* x (pow (- z 1) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow y 3) z) (* (pow x 3) (pow (- z 1) 4)))) (/ z (- z 1))) (+ (* -1 (/ (* (pow y 2) z) (* (pow x 2) (pow (- z 1) 3)))) (/ (* y z) (* x (pow (- z 1) 2))))) x) |
(* x (- z 1)) |
(* x (- (+ z (/ y x)) 1)) |
(* x (- (/ y x) 1)) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (/ (* x (+ 1 (* -1 z))) z)) |
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z))))) |
(* -1 (/ z (* x (+ 1 (* -1 z))))) |
(* -1 (/ (+ (/ z (+ 1 (* -1 z))) (/ (* y z) (* x (pow (+ 1 (* -1 z)) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow y 2) z) (* x (pow (+ 1 (* -1 z)) 3)))) (/ (* y z) (pow (+ 1 (* -1 z)) 2))) x)) (/ z (+ 1 (* -1 z)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) z) (* x (pow (+ 1 (* -1 z)) 4))) (* -1 (/ (* (pow y 2) z) (pow (+ 1 (* -1 z)) 3)))) x)) (/ (* y z) (pow (+ 1 (* -1 z)) 2))) x)) (/ z (+ 1 (* -1 z)))) x)) |
(* -1 (* x (+ 1 (* -1 z)))) |
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(- (/ y z) (/ x z)) |
(- x (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(/ (- (* x z) x) z) |
(/ z (- (* x z) x)) |
(+ (* -1 (/ (* y z) (pow (- (* x z) x) 2))) (/ z (- (* x z) x))) |
(+ (* y (- (/ (* y z) (pow (- (* x z) x) 3)) (/ z (pow (- (* x z) x) 2)))) (/ z (- (* x z) x))) |
(+ (* y (- (* y (- (* -1 (/ (* y z) (pow (- (* x z) x) 4))) (* -1 (/ z (pow (- (* x z) x) 3))))) (/ z (pow (- (* x z) x) 2)))) (/ z (- (* x z) x))) |
(- (* x z) x) |
(- (+ y (* x z)) x) |
(- y x) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(/ (+ z (* -1 (/ (* z (- (* x z) x)) y))) y) |
(/ (- (+ z (/ (* z (pow (- (* x z) x) 2)) (pow y 2))) (/ (* z (- (* x z) x)) y)) y) |
(/ (- (+ z (* -1 (/ (* z (pow (- (* x z) x) 3)) (pow y 3)))) (+ (* -1 (/ (* z (pow (- (* x z) x) 2)) (pow y 2))) (/ (* z (- (* x z) x)) y))) y) |
(* y (- (+ 1 (/ (* x z) y)) (/ x y))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z)))) |
(* -1 (/ (+ (* -1 z) (/ (* z (- (* x z) x)) y)) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- (* x z) x) 2)) y) (* z (- (* x z) x))) y))) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- (* x z) x) 3)) y) (* z (pow (- (* x z) x) 2))) y)) (* z (- (* x z) x))) y))) y)) |
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(/ (- y x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ z (- y x)) |
(* z (+ (* -1 (/ (* x z) (pow (- y x) 2))) (/ 1 (- y x)))) |
(* z (+ (* z (- (/ (* (pow x 2) z) (pow (- y x) 3)) (/ x (pow (- y x) 2)))) (/ 1 (- y x)))) |
(* z (+ (* z (- (* z (- (* -1 (/ (* (pow x 3) z) (pow (- y x) 4))) (* -1 (/ (pow x 2) (pow (- y x) 3))))) (/ x (pow (- y x) 2)))) (/ 1 (- y x)))) |
x |
(/ 1 x) |
(- (+ (/ 1 x) (/ 1 (* x z))) (/ y (* (pow x 2) z))) |
(- (+ (* -1 (/ (* (- y x) (- (/ 1 x) (/ y (pow x 2)))) (* x (pow z 2)))) (+ (/ 1 x) (/ 1 (* x z)))) (/ y (* (pow x 2) z))) |
(- (+ (/ 1 x) (+ (/ 1 (* x z)) (/ (* (pow (- y x) 2) (- (/ 1 x) (/ y (pow x 2)))) (* (pow x 2) (pow z 3))))) (+ (/ y (* (pow x 2) z)) (/ (* (- y x) (- (/ 1 x) (/ y (pow x 2)))) (* x (pow z 2))))) |
(* x z) |
(* z (- (+ x (/ y z)) (/ x z))) |
(* -1 (/ (- (* -1 y) (* -1 x)) z)) |
(+ (* -1 (/ (- y x) (* (pow x 2) z))) (/ 1 x)) |
(+ (* -1 (/ (- (* -1 (/ (pow (- y x) 2) (* (pow x 3) z))) (* -1 (/ (- y x) (pow x 2)))) z)) (/ 1 x)) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- y x) 3) (* (pow x 4) z))) (* -1 (/ (pow (- y x) 2) (pow x 3)))) z)) (* -1 (/ (- y x) (pow x 2)))) z)) (/ 1 x)) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((- (/ y z) (/ x z)) (+ x (/ (- y x) z)) (/ y z) (/ x z) (/ 1 (/ z (+ (* x z) (- y x)))) (+ x (/ (- y x) z)) (/ z (+ (* x z) (- y x))) (+ (* x z) (- y x)) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (- y x)) |
| 2.0ms | x | @ | inf | ((- (/ y z) (/ x z)) (+ x (/ (- y x) z)) (/ y z) (/ x z) (/ 1 (/ z (+ (* x z) (- y x)))) (+ x (/ (- y x) z)) (/ z (+ (* x z) (- y x))) (+ (* x z) (- y x)) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (- y x)) |
| 2.0ms | z | @ | -inf | ((- (/ y z) (/ x z)) (+ x (/ (- y x) z)) (/ y z) (/ x z) (/ 1 (/ z (+ (* x z) (- y x)))) (+ x (/ (- y x) z)) (/ z (+ (* x z) (- y x))) (+ (* x z) (- y x)) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (- y x)) |
| 2.0ms | y | @ | inf | ((- (/ y z) (/ x z)) (+ x (/ (- y x) z)) (/ y z) (/ x z) (/ 1 (/ z (+ (* x z) (- y x)))) (+ x (/ (- y x) z)) (/ z (+ (* x z) (- y x))) (+ (* x z) (- y x)) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (- y x)) |
| 1.0ms | y | @ | -inf | ((- (/ y z) (/ x z)) (+ x (/ (- y x) z)) (/ y z) (/ x z) (/ 1 (/ z (+ (* x z) (- y x)))) (+ x (/ (- y x) z)) (/ z (+ (* x z) (- y x))) (+ (* x z) (- y x)) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (- y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 340 | 1272 |
| 1 | 1055 | 1201 |
| 2 | 3470 | 1137 |
| 0 | 8474 | 1106 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y z) |
(+ (* -1 (/ x z)) (/ y z)) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(/ x z) |
(/ z y) |
(+ (* -1 (/ (* x (* z (- z 1))) (pow y 2))) (/ z y)) |
(+ (* x (- (/ (* x (* z (pow (- z 1) 2))) (pow y 3)) (/ (* z (- z 1)) (pow y 2)))) (/ z y)) |
(+ (* x (- (* x (- (* -1 (/ (* x (* z (pow (- z 1) 3))) (pow y 4))) (* -1 (/ (* z (pow (- z 1) 2)) (pow y 3))))) (/ (* z (- z 1)) (pow y 2)))) (/ z y)) |
y |
(+ y (* x (- z 1))) |
(+ y (* -1 x)) |
(* -1 x) |
(* -1 (/ x z)) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* x (- 1 (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(/ (* x (- z 1)) z) |
(/ z (* x (- z 1))) |
(/ (+ (* -1 (/ (* y z) (* x (pow (- z 1) 2)))) (/ z (- z 1))) x) |
(/ (- (+ (/ z (- z 1)) (/ (* (pow y 2) z) (* (pow x 2) (pow (- z 1) 3)))) (/ (* y z) (* x (pow (- z 1) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow y 3) z) (* (pow x 3) (pow (- z 1) 4)))) (/ z (- z 1))) (+ (* -1 (/ (* (pow y 2) z) (* (pow x 2) (pow (- z 1) 3)))) (/ (* y z) (* x (pow (- z 1) 2))))) x) |
(* x (- z 1)) |
(* x (- (+ z (/ y x)) 1)) |
(* x (- (/ y x) 1)) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (/ (* x (+ 1 (* -1 z))) z)) |
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z))))) |
(* -1 (/ z (* x (+ 1 (* -1 z))))) |
(* -1 (/ (+ (/ z (+ 1 (* -1 z))) (/ (* y z) (* x (pow (+ 1 (* -1 z)) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow y 2) z) (* x (pow (+ 1 (* -1 z)) 3)))) (/ (* y z) (pow (+ 1 (* -1 z)) 2))) x)) (/ z (+ 1 (* -1 z)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) z) (* x (pow (+ 1 (* -1 z)) 4))) (* -1 (/ (* (pow y 2) z) (pow (+ 1 (* -1 z)) 3)))) x)) (/ (* y z) (pow (+ 1 (* -1 z)) 2))) x)) (/ z (+ 1 (* -1 z)))) x)) |
(* -1 (* x (+ 1 (* -1 z)))) |
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x)))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(- (/ y z) (/ x z)) |
(- x (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(/ (- (* x z) x) z) |
(/ z (- (* x z) x)) |
(+ (* -1 (/ (* y z) (pow (- (* x z) x) 2))) (/ z (- (* x z) x))) |
(+ (* y (- (/ (* y z) (pow (- (* x z) x) 3)) (/ z (pow (- (* x z) x) 2)))) (/ z (- (* x z) x))) |
(+ (* y (- (* y (- (* -1 (/ (* y z) (pow (- (* x z) x) 4))) (* -1 (/ z (pow (- (* x z) x) 3))))) (/ z (pow (- (* x z) x) 2)))) (/ z (- (* x z) x))) |
(- (* x z) x) |
(- (+ y (* x z)) x) |
(- y x) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(/ (+ z (* -1 (/ (* z (- (* x z) x)) y))) y) |
(/ (- (+ z (/ (* z (pow (- (* x z) x) 2)) (pow y 2))) (/ (* z (- (* x z) x)) y)) y) |
(/ (- (+ z (* -1 (/ (* z (pow (- (* x z) x) 3)) (pow y 3)))) (+ (* -1 (/ (* z (pow (- (* x z) x) 2)) (pow y 2))) (/ (* z (- (* x z) x)) y))) y) |
(* y (- (+ 1 (/ (* x z) y)) (/ x y))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z)))) |
(* -1 (/ (+ (* -1 z) (/ (* z (- (* x z) x)) y)) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- (* x z) x) 2)) y) (* z (- (* x z) x))) y))) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- (* x z) x) 3)) y) (* z (pow (- (* x z) x) 2))) y)) (* z (- (* x z) x))) y))) y)) |
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(/ (- y x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ z (- y x)) |
(* z (+ (* -1 (/ (* x z) (pow (- y x) 2))) (/ 1 (- y x)))) |
(* z (+ (* z (- (/ (* (pow x 2) z) (pow (- y x) 3)) (/ x (pow (- y x) 2)))) (/ 1 (- y x)))) |
(* z (+ (* z (- (* z (- (* -1 (/ (* (pow x 3) z) (pow (- y x) 4))) (* -1 (/ (pow x 2) (pow (- y x) 3))))) (/ x (pow (- y x) 2)))) (/ 1 (- y x)))) |
x |
(/ 1 x) |
(- (+ (/ 1 x) (/ 1 (* x z))) (/ y (* (pow x 2) z))) |
(- (+ (* -1 (/ (* (- y x) (- (/ 1 x) (/ y (pow x 2)))) (* x (pow z 2)))) (+ (/ 1 x) (/ 1 (* x z)))) (/ y (* (pow x 2) z))) |
(- (+ (/ 1 x) (+ (/ 1 (* x z)) (/ (* (pow (- y x) 2) (- (/ 1 x) (/ y (pow x 2)))) (* (pow x 2) (pow z 3))))) (+ (/ y (* (pow x 2) z)) (/ (* (- y x) (- (/ 1 x) (/ y (pow x 2)))) (* x (pow z 2))))) |
(* x z) |
(* z (- (+ x (/ y z)) (/ x z))) |
(* -1 (/ (- (* -1 y) (* -1 x)) z)) |
(+ (* -1 (/ (- y x) (* (pow x 2) z))) (/ 1 x)) |
(+ (* -1 (/ (- (* -1 (/ (pow (- y x) 2) (* (pow x 3) z))) (* -1 (/ (- y x) (pow x 2)))) z)) (/ 1 x)) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- y x) 3) (* (pow x 4) z))) (* -1 (/ (pow (- y x) 2) (pow x 3)))) z)) (* -1 (/ (- y x) (pow x 2)))) z)) (/ 1 x)) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z))))) |
| Outputs |
|---|
(/ y z) |
(/.f64 y z) |
(+ (* -1 (/ x z)) (/ y z)) |
(/.f64 (-.f64 y x) z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ x z) |
(/.f64 x z) |
(/ z y) |
(/.f64 z y) |
(+ (* -1 (/ (* x (* z (- z 1))) (pow y 2))) (/ z y)) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (/.f64 z y) z) y) |
(+ (* x (- (/ (* x (* z (pow (- z 1) 2))) (pow y 3)) (/ (* z (- z 1)) (pow y 2)))) (/ z y)) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 z (*.f64 y y)) (*.f64 (*.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) z) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) x (/.f64 z y)) |
(+ (* x (- (* x (- (* -1 (/ (* x (* z (pow (- z 1) 3))) (pow y 4))) (* -1 (/ (* z (pow (- z 1) 2)) (pow y 3))))) (/ (* z (- z 1)) (pow y 2)))) (/ z y)) |
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y y)) z (*.f64 (fma.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) z)) (/.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 z (pow.f64 y #s(literal 3 binary64))))) x)) x (/.f64 z y)) |
y |
(+ y (* x (- z 1))) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y) |
(+ y (* -1 x)) |
(-.f64 y x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(*.f64 (-.f64 (/.f64 (/.f64 y z) x) (/.f64 #s(literal 1 binary64) z)) x) |
(* x (- 1 (/ 1 z))) |
(-.f64 x (/.f64 x z)) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(fma.f64 (-.f64 (/.f64 (/.f64 y z) x) (/.f64 #s(literal 1 binary64) z)) x x) |
(/ (* x (- z 1)) z) |
(-.f64 x (/.f64 x z)) |
(/ z (* x (- z 1))) |
(/.f64 (/.f64 z (-.f64 z #s(literal 1 binary64))) x) |
(/ (+ (* -1 (/ (* y z) (* x (pow (- z 1) 2)))) (/ z (- z 1))) x) |
(/.f64 (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 z (-.f64 z #s(literal 1 binary64)))) x) |
(/ (- (+ (/ z (- z 1)) (/ (* (pow y 2) z) (* (pow x 2) (pow (- z 1) 3)))) (/ (* y z) (* x (pow (- z 1) 2)))) x) |
(/.f64 (fma.f64 z (-.f64 (/.f64 (*.f64 y y) (*.f64 (*.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) x) x)) (/.f64 y (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) x))) (/.f64 z (-.f64 z #s(literal 1 binary64)))) x) |
(/ (- (+ (* -1 (/ (* (pow y 3) z) (* (pow x 3) (pow (- z 1) 4)))) (/ z (- z 1))) (+ (* -1 (/ (* (pow y 2) z) (* (pow x 2) (pow (- z 1) 3)))) (/ (* y z) (* x (pow (- z 1) 2))))) x) |
(/.f64 (fma.f64 z (-.f64 (/.f64 (*.f64 y y) (*.f64 (*.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) x) x)) (/.f64 y (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) x))) (-.f64 (/.f64 z (-.f64 z #s(literal 1 binary64))) (*.f64 (/.f64 z (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 4 binary64))) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))) x) |
(* x (- z 1)) |
(*.f64 (-.f64 z #s(literal 1 binary64)) x) |
(* x (- (+ z (/ y x)) 1)) |
(fma.f64 (+.f64 (/.f64 y x) z) x (neg.f64 x)) |
(* x (- (/ y x) 1)) |
(fma.f64 (/.f64 y x) x (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 (/.f64 y z) x) (/.f64 #s(literal 1 binary64) z)) x) |
(* -1 (* x (- (/ 1 z) 1))) |
(-.f64 x (/.f64 x z)) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(fma.f64 (-.f64 (/.f64 (/.f64 y z) x) (/.f64 #s(literal 1 binary64) z)) x x) |
(* -1 (/ (* x (+ 1 (* -1 z))) z)) |
(-.f64 x (/.f64 x z)) |
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z))))) |
(fma.f64 (-.f64 (/.f64 (/.f64 y z) x) (/.f64 #s(literal 1 binary64) z)) x x) |
(* -1 (/ z (* x (+ 1 (* -1 z))))) |
(/.f64 (/.f64 z (-.f64 z #s(literal 1 binary64))) x) |
(* -1 (/ (+ (/ z (+ 1 (* -1 z))) (/ (* y z) (* x (pow (+ 1 (* -1 z)) 2)))) x)) |
(/.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 z x) (/.f64 z (-.f64 #s(literal 1 binary64) z))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow y 2) z) (* x (pow (+ 1 (* -1 z)) 3)))) (/ (* y z) (pow (+ 1 (* -1 z)) 2))) x)) (/ z (+ 1 (* -1 z)))) x)) |
(/.f64 (+.f64 (/.f64 (*.f64 y (fma.f64 y (/.f64 (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))) x) (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))) x) (/.f64 z (-.f64 #s(literal 1 binary64) z))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) z) (* x (pow (+ 1 (* -1 z)) 4))) (* -1 (/ (* (pow y 2) z) (pow (+ 1 (* -1 z)) 3)))) x)) (/ (* y z) (pow (+ 1 (* -1 z)) 2))) x)) (/ z (+ 1 (* -1 z)))) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) (fma.f64 y (/.f64 (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) x) (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) x) (*.f64 (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) y)) x) (/.f64 z (-.f64 #s(literal 1 binary64) z))) (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 z)))) |
(*.f64 (-.f64 z #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x)))))) |
(fma.f64 (+.f64 (/.f64 y x) z) x (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(fma.f64 (/.f64 y x) x (neg.f64 x)) |
(- (/ y z) (/ x z)) |
(/.f64 (-.f64 y x) z) |
(- x (/ x z)) |
(-.f64 x (/.f64 x z)) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ (- (* x z) x) z) |
(-.f64 x (/.f64 x z)) |
(/ z (- (* x z) x)) |
(/.f64 (/.f64 z (-.f64 z #s(literal 1 binary64))) x) |
(+ (* -1 (/ (* y z) (pow (- (* x z) x) 2))) (/ z (- (* x z) x))) |
(fma.f64 (neg.f64 y) (/.f64 z (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) x) #s(literal 2 binary64))) (/.f64 (/.f64 z (-.f64 z #s(literal 1 binary64))) x)) |
(+ (* y (- (/ (* y z) (pow (- (* x z) x) 3)) (/ z (pow (- (* x z) x) 2)))) (/ z (- (* x z) x))) |
(fma.f64 (*.f64 (/.f64 z (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (-.f64 z #s(literal 1 binary64)) x)))) y (/.f64 (/.f64 z (-.f64 z #s(literal 1 binary64))) x)) |
(+ (* y (- (* y (- (* -1 (/ (* y z) (pow (- (* x z) x) 4))) (* -1 (/ z (pow (- (* x z) x) 3))))) (/ z (pow (- (* x z) x) 2)))) (/ z (- (* x z) x))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) x) #s(literal 4 binary64))) (neg.f64 y) (/.f64 z (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) x) #s(literal 3 binary64)))) y (/.f64 (neg.f64 z) (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) x) #s(literal 2 binary64)))) y (/.f64 (/.f64 z (-.f64 z #s(literal 1 binary64))) x)) |
(- (* x z) x) |
(*.f64 (-.f64 z #s(literal 1 binary64)) x) |
(- (+ y (* x z)) x) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y) |
(- y x) |
(-.f64 y x) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 x z) y)) y) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(fma.f64 (/.f64 (-.f64 x (/.f64 x z)) y) y (/.f64 y z)) |
(/ (+ z (* -1 (/ (* z (- (* x z) x)) y))) y) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (/.f64 z y) z) y) |
(/ (- (+ z (/ (* z (pow (- (* x z) x) 2)) (pow y 2))) (/ (* z (- (* x z) x)) y)) y) |
(/.f64 (+.f64 (/.f64 (*.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) x (/.f64 (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) x) #s(literal 2 binary64)) y))) y) z) y) |
(/ (- (+ z (* -1 (/ (* z (pow (- (* x z) x) 3)) (pow y 3)))) (+ (* -1 (/ (* z (pow (- (* x z) x) 2)) (pow y 2))) (/ (* z (- (* x z) x)) y))) y) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) x) y) #s(literal 3 binary64)) (neg.f64 z) (+.f64 (/.f64 (*.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) x (/.f64 (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) x) #s(literal 2 binary64)) y))) y) z)) y) |
(* y (- (+ 1 (/ (* x z) y)) (/ x y))) |
(*.f64 (fma.f64 (/.f64 x y) (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1 (/ x y)))) |
(fma.f64 (/.f64 (neg.f64 x) y) y y) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (/.f64 x z) y) (/.f64 #s(literal 1 binary64) z))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 x (/.f64 x z)) y) y (/.f64 y z)) |
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 x (/.f64 x z)) y) y (/.f64 y z)) |
(* -1 (/ (+ (* -1 z) (/ (* z (- (* x z) x)) y)) y)) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (/.f64 z y) z) y) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- (* x z) x) 2)) y) (* z (- (* x z) x))) y))) y)) |
(/.f64 (+.f64 (/.f64 (*.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) x (/.f64 (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) x) #s(literal 2 binary64)) y))) y) z) y) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- (* x z) x) 3)) y) (* z (pow (- (* x z) x) 2))) y)) (* z (- (* x z) x))) y))) y)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) x) y) #s(literal 3 binary64)) (neg.f64 z) (+.f64 (/.f64 (*.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) x (/.f64 (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) x) #s(literal 2 binary64)) y))) y) z)) y) |
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) y) |
(* -1 (* y (- (/ x y) 1))) |
(fma.f64 (/.f64 (neg.f64 x) y) y y) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- (+ y (* x z)) x) z) |
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x y) z) |
(/ z (- y x)) |
(/.f64 z (-.f64 y x)) |
(* z (+ (* -1 (/ (* x z) (pow (- y x) 2))) (/ 1 (- y x)))) |
(fma.f64 (*.f64 (/.f64 z (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (neg.f64 x)) z (/.f64 z (-.f64 y x))) |
(* z (+ (* z (- (/ (* (pow x 2) z) (pow (- y x) 3)) (/ x (pow (- y x) 2)))) (/ 1 (- y x)))) |
(fma.f64 (*.f64 z z) (-.f64 (*.f64 (/.f64 z (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (*.f64 x x)) (/.f64 x (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (/.f64 z (-.f64 y x))) |
(* z (+ (* z (- (* z (- (* -1 (/ (* (pow x 3) z) (pow (- y x) 4))) (* -1 (/ (pow x 2) (pow (- y x) 3))))) (/ x (pow (- y x) 2)))) (/ 1 (- y x)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (neg.f64 z) (pow.f64 (-.f64 y x) #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (/.f64 x (pow.f64 (-.f64 y x) #s(literal 3 binary64))))) z (/.f64 (neg.f64 x) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (-.f64 y x))) z) |
x |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(- (+ (/ 1 x) (/ 1 (* x z))) (/ y (* (pow x 2) z))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (-.f64 y x) z) (*.f64 x x))) |
(- (+ (* -1 (/ (* (- y x) (- (/ 1 x) (/ y (pow x 2)))) (* x (pow z 2)))) (+ (/ 1 x) (/ 1 (* x z)))) (/ y (* (pow x 2) z))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 z z)) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (-.f64 y x) z) (*.f64 x x)))) |
(- (+ (/ 1 x) (+ (/ 1 (* x z)) (/ (* (pow (- y x) 2) (- (/ 1 x) (/ y (pow x 2)))) (* (pow x 2) (pow z 3))))) (+ (/ y (* (pow x 2) z)) (/ (* (- y x) (- (/ 1 x) (/ y (pow x 2)))) (* x (pow z 2))))) |
(-.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (-.f64 x y) x) x) (*.f64 x x)) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 z z))) (/.f64 y (*.f64 (*.f64 x x) z))) |
(* x z) |
(*.f64 x z) |
(* z (- (+ x (/ y z)) (/ x z))) |
(*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) z) |
(* -1 (/ (- (* -1 y) (* -1 x)) z)) |
(/.f64 (-.f64 y x) z) |
(+ (* -1 (/ (- y x) (* (pow x 2) z))) (/ 1 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (-.f64 y x) z) (*.f64 x x))) |
(+ (* -1 (/ (- (* -1 (/ (pow (- y x) 2) (* (pow x 3) z))) (* -1 (/ (- y x) (pow x 2)))) z)) (/ 1 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 y x) x) x) (/.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) z) (pow.f64 x #s(literal 3 binary64)))) z)) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- y x) 3) (* (pow x 4) z))) (* -1 (/ (pow (- y x) 2) (pow x 3)))) z)) (* -1 (/ (- y x) (pow x 2)))) z)) (/ 1 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 y x) x) x) (/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) z) (pow.f64 x #s(literal 4 binary64)))) z)) z)) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z))))) |
(*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) z) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 105 |
| 0 | 30 | 101 |
| 1 | 131 | 97 |
| 2 | 1257 | 97 |
| 0 | 8648 | 97 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 y z) (/.f64 x z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) |
(/.f64 y z) |
(/.f64 x z) |
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 x z (-.f64 y x)))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 x z (-.f64 y x))))) |
(/.f64 z (fma.f64 x z (-.f64 y x))) |
(fma.f64 x z (-.f64 y x)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
(/.f64 #s(approx (- y x) (neg.f64 x)) z) |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
(-.f64 y x) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 x y) z) (/.f64 (-.f64 y x) (+.f64 x y))) |
(*.f64 (/.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) z) (/.f64 (-.f64 y x) (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 x y)) (pow.f64 z #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 y x) z) (+.f64 x y))) |
(*.f64 (/.f64 z z) (/.f64 (-.f64 y x) z)) |
(*.f64 (pow.f64 (/.f64 z (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (pow.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 y x)) |
(*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 x y)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 y x)) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) |
(*.f64 (*.f64 z (-.f64 y x)) (pow.f64 z #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) z)) |
(*.f64 (-.f64 y x) (pow.f64 z #s(literal -1 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y x) (-.f64 (-.f64 y x) (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (*.f64 x z)) |
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) (*.f64 x z)) |
(fma.f64 x z (-.f64 y x)) |
(fma.f64 z x (-.f64 y x)) |
(-.f64 (/.f64 (pow.f64 (fma.f64 x z y) #s(literal 2 binary64)) (+.f64 (fma.f64 x z y) x)) (/.f64 (*.f64 x x) (+.f64 (fma.f64 x z y) x))) |
(-.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (-.f64 y x) (*.f64 x z))) (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (-.f64 (-.f64 y x) (*.f64 x z)))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 x z y) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 x z y) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (fma.f64 x z y) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 x z y) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (fma.f64 x z y) x))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (fma.f64 x z (neg.f64 (-.f64 y x)))) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fma.f64 x z (neg.f64 (-.f64 y x))))) |
(-.f64 (fma.f64 x z y) x) |
(-.f64 y (-.f64 x (*.f64 x z))) |
(+.f64 (fma.f64 x z y) (neg.f64 x)) |
(+.f64 (*.f64 x z) (-.f64 y x)) |
(+.f64 (-.f64 y x) (*.f64 x z)) |
(+.f64 y (fma.f64 #s(literal -1 binary64) x (*.f64 x z))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (- y x) (neg.f64 x))) |
(*.f64 (neg.f64 #s(approx (- y x) (neg.f64 x))) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) |
(*.f64 #s(approx (- y x) (neg.f64 x)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
(pow.f64 (/.f64 (/.f64 z #s(approx (- y x) (neg.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z #s(approx (- y x) (neg.f64 x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- y x) (neg.f64 x))))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (*.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- y x) (neg.f64 x)))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 #s(approx (- y x) (neg.f64 x))) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z #s(approx (- y x) (neg.f64 x))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z #s(approx (- y x) (neg.f64 x))))) |
(/.f64 #s(approx (- y x) (neg.f64 x)) z) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z #s(approx (- y x) (neg.f64 x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z #s(approx (- y x) (neg.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (- y x) (neg.f64 x)))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- y x) (neg.f64 x))) z)) |
(neg.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 #s(approx (- y x) (neg.f64 x)) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (- y x) (neg.f64 x)))) #s(literal -1 binary64))) |
#s(approx (- y x) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) y)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (neg.f64 (+.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 x y)) (*.f64 (+.f64 x y) (*.f64 x x))) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 y (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (+.f64 x y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y (neg.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y (neg.f64 x))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 x y)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y (neg.f64 x))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x y) (*.f64 y y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 y x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 #s(literal -1 binary64) x y) |
(fma.f64 x #s(literal -1 binary64) y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (neg.f64 x))) (/.f64 (*.f64 x x) (-.f64 y (neg.f64 x)))) |
(-.f64 (+.f64 y #s(literal 0 binary64)) x) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(-.f64 y x) |
(+.f64 (neg.f64 x) y) |
(+.f64 y (neg.f64 x)) |
Compiled 13 739 to 2 145 computations (84.4% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 511 | 1 | 512 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 5 | 5 |
| Total | 512 | 8 | 520 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 x (/.f64 (-.f64 y x) z)) |
| ✓ | 90.0% | #s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z)) |
| ✓ | 58.9% | #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
| ✓ | 24.6% | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
| ✓ | 40.3% | #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
| ▶ | 54.3% | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))))) |
| ✓ | 57.8% | #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) |
| ✓ | 64.4% | #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
Compiled 116 to 77 computations (33.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))) | |
| cost-diff | 0 | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 81 |
| 0 | 19 | 81 |
| 1 | 37 | 81 |
| 2 | 59 | 77 |
| 3 | 99 | 77 |
| 4 | 178 | 77 |
| 5 | 331 | 77 |
| 6 | 689 | 77 |
| 7 | 1128 | 77 |
| 8 | 1667 | 77 |
| 9 | 1916 | 77 |
| 10 | 2021 | 77 |
| 11 | 2059 | 77 |
| 12 | 2065 | 77 |
| 13 | 2070 | 77 |
| 0 | 2070 | 73 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)))) |
#s(literal 1 binary64) |
(/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))) |
z |
#s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 z #s(literal 1 binary64)) x) |
(-.f64 z #s(literal 1 binary64)) |
x |
| Outputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)))) |
(/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) z) |
#s(literal 1 binary64) |
(/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))) |
z |
#s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 z #s(literal 1 binary64)) x) |
(-.f64 z #s(literal 1 binary64)) |
x |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (*.f64 (-.f64 z #s(literal 1 binary64)) x) | |
| accuracy | 0.1953125 | (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)))) | |
| accuracy | 6.420383778904102 | (/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))) | |
| accuracy | 23.511516826173114 | #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) |
| 32.0ms | 256× | 0 | valid |
Compiled 128 to 30 computations (76.6% saved)
ival-div: 9.0ms (50.9% of total)ival-sub: 3.0ms (17% of total)ival-mult: 3.0ms (17% of total)ival-add: 2.0ms (11.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))))) |
(/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))) |
#s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 z #s(literal 1 binary64)) x) |
| Outputs |
|---|
(/ y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(/ z y) |
(+ (* -1 (/ (* x (* z (- z 1))) (pow y 2))) (/ z y)) |
(+ (* x (- (/ (* x (* z (pow (- z 1) 2))) (pow y 3)) (/ (* z (- z 1)) (pow y 2)))) (/ z y)) |
(+ (* x (- (* x (- (* -1 (/ (* x (* z (pow (- z 1) 3))) (pow y 4))) (* -1 (/ (* z (pow (- z 1) 2)) (pow y 3))))) (/ (* z (- z 1)) (pow y 2)))) (/ z y)) |
y |
(+ y (* x (- z 1))) |
(* x (- z 1)) |
(/ (* x (- z 1)) z) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* x (- 1 (/ 1 z))) |
(/ z (* x (- z 1))) |
(/ (+ (* -1 (/ (* y z) (* x (pow (- z 1) 2)))) (/ z (- z 1))) x) |
(/ (- (+ (/ z (- z 1)) (/ (* (pow y 2) z) (* (pow x 2) (pow (- z 1) 3)))) (/ (* y z) (* x (pow (- z 1) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow y 3) z) (* (pow x 3) (pow (- z 1) 4)))) (/ z (- z 1))) (+ (* -1 (/ (* (pow y 2) z) (* (pow x 2) (pow (- z 1) 3)))) (/ (* y z) (* x (pow (- z 1) 2))))) x) |
(* x (- (+ z (/ y x)) 1)) |
(* -1 (/ (* x (+ 1 (* -1 z))) z)) |
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z))))) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (/ z (* x (+ 1 (* -1 z))))) |
(* -1 (/ (+ (/ z (+ 1 (* -1 z))) (/ (* y z) (* x (pow (+ 1 (* -1 z)) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow y 2) z) (* x (pow (+ 1 (* -1 z)) 3)))) (/ (* y z) (pow (+ 1 (* -1 z)) 2))) x)) (/ z (+ 1 (* -1 z)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) z) (* x (pow (+ 1 (* -1 z)) 4))) (* -1 (/ (* (pow y 2) z) (pow (+ 1 (* -1 z)) 3)))) x)) (/ (* y z) (pow (+ 1 (* -1 z)) 2))) x)) (/ z (+ 1 (* -1 z)))) x)) |
(* -1 (* x (+ 1 (* -1 z)))) |
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x)))))) |
(/ (- (* x z) x) z) |
(- (+ x (/ y z)) (/ x z)) |
(- x (/ x z)) |
(/ z (- (* x z) x)) |
(+ (* -1 (/ (* y z) (pow (- (* x z) x) 2))) (/ z (- (* x z) x))) |
(+ (* y (- (/ (* y z) (pow (- (* x z) x) 3)) (/ z (pow (- (* x z) x) 2)))) (/ z (- (* x z) x))) |
(+ (* y (- (* y (- (* -1 (/ (* y z) (pow (- (* x z) x) 4))) (* -1 (/ z (pow (- (* x z) x) 3))))) (/ z (pow (- (* x z) x) 2)))) (/ z (- (* x z) x))) |
(- (* x z) x) |
(- (+ y (* x z)) x) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(/ (+ z (* -1 (/ (* z (- (* x z) x)) y))) y) |
(/ (- (+ z (/ (* z (pow (- (* x z) x) 2)) (pow y 2))) (/ (* z (- (* x z) x)) y)) y) |
(/ (- (+ z (* -1 (/ (* z (pow (- (* x z) x) 3)) (pow y 3)))) (+ (* -1 (/ (* z (pow (- (* x z) x) 2)) (pow y 2))) (/ (* z (- (* x z) x)) y))) y) |
(* y (- (+ 1 (/ (* x z) y)) (/ x y))) |
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (/ (+ (* -1 z) (/ (* z (- (* x z) x)) y)) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- (* x z) x) 2)) y) (* z (- (* x z) x))) y))) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- (* x z) x) 3)) y) (* z (pow (- (* x z) x) 2))) y)) (* z (- (* x z) x))) y))) y)) |
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1))) |
(/ (- y x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ z (- y x)) |
(* z (+ (* -1 (/ (* x z) (pow (- y x) 2))) (/ 1 (- y x)))) |
(* z (+ (* z (- (/ (* (pow x 2) z) (pow (- y x) 3)) (/ x (pow (- y x) 2)))) (/ 1 (- y x)))) |
(* z (+ (* z (- (* z (- (* -1 (/ (* (pow x 3) z) (pow (- y x) 4))) (* -1 (/ (pow x 2) (pow (- y x) 3))))) (/ x (pow (- y x) 2)))) (/ 1 (- y x)))) |
(- y x) |
(* -1 x) |
(+ (* -1 x) (* x z)) |
x |
(/ 1 x) |
(- (+ (/ 1 x) (/ 1 (* x z))) (/ y (* (pow x 2) z))) |
(- (+ (* -1 (/ (* (- y x) (- (/ 1 x) (/ y (pow x 2)))) (* x (pow z 2)))) (+ (/ 1 x) (/ 1 (* x z)))) (/ y (* (pow x 2) z))) |
(- (+ (/ 1 x) (+ (/ 1 (* x z)) (/ (* (pow (- y x) 2) (- (/ 1 x) (/ y (pow x 2)))) (* (pow x 2) (pow z 3))))) (+ (/ y (* (pow x 2) z)) (/ (* (- y x) (- (/ 1 x) (/ y (pow x 2)))) (* x (pow z 2))))) |
(* x z) |
(* z (- (+ x (/ y z)) (/ x z))) |
(* z (+ x (* -1 (/ x z)))) |
(+ (* -1 (/ (- y x) (* (pow x 2) z))) (/ 1 x)) |
(+ (* -1 (/ (- (* -1 (/ (pow (- y x) 2) (* (pow x 3) z))) (* -1 (/ (- y x) (pow x 2)))) z)) (/ 1 x)) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- y x) 3) (* (pow x 4) z))) (* -1 (/ (pow (- y x) 2) (pow x 3)))) z)) (* -1 (/ (- y x) (pow x 2)))) z)) (/ 1 x)) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z))))) |
(* -1 (* z (+ (* -1 x) (/ x z)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | -inf | ((/ 1 (/ z (+ (* x z) (- y x)))) (+ x (/ (- y x) z)) (/ z (+ (* x z) (- y x))) (+ (* x z) (- y x)) (* (- z 1) x)) |
| 1.0ms | x | @ | -inf | ((/ 1 (/ z (+ (* x z) (- y x)))) (+ x (/ (- y x) z)) (/ z (+ (* x z) (- y x))) (+ (* x z) (- y x)) (* (- z 1) x)) |
| 1.0ms | x | @ | inf | ((/ 1 (/ z (+ (* x z) (- y x)))) (+ x (/ (- y x) z)) (/ z (+ (* x z) (- y x))) (+ (* x z) (- y x)) (* (- z 1) x)) |
| 1.0ms | x | @ | 0 | ((/ 1 (/ z (+ (* x z) (- y x)))) (+ x (/ (- y x) z)) (/ z (+ (* x z) (- y x))) (+ (* x z) (- y x)) (* (- z 1) x)) |
| 1.0ms | z | @ | 0 | ((/ 1 (/ z (+ (* x z) (- y x)))) (+ x (/ (- y x) z)) (/ z (+ (* x z) (- y x))) (+ (* x z) (- y x)) (* (- z 1) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 317 | 1187 |
| 1 | 984 | 1117 |
| 2 | 3273 | 1070 |
| 0 | 8404 | 1044 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(/ z y) |
(+ (* -1 (/ (* x (* z (- z 1))) (pow y 2))) (/ z y)) |
(+ (* x (- (/ (* x (* z (pow (- z 1) 2))) (pow y 3)) (/ (* z (- z 1)) (pow y 2)))) (/ z y)) |
(+ (* x (- (* x (- (* -1 (/ (* x (* z (pow (- z 1) 3))) (pow y 4))) (* -1 (/ (* z (pow (- z 1) 2)) (pow y 3))))) (/ (* z (- z 1)) (pow y 2)))) (/ z y)) |
y |
(+ y (* x (- z 1))) |
(* x (- z 1)) |
(/ (* x (- z 1)) z) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* x (- 1 (/ 1 z))) |
(/ z (* x (- z 1))) |
(/ (+ (* -1 (/ (* y z) (* x (pow (- z 1) 2)))) (/ z (- z 1))) x) |
(/ (- (+ (/ z (- z 1)) (/ (* (pow y 2) z) (* (pow x 2) (pow (- z 1) 3)))) (/ (* y z) (* x (pow (- z 1) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow y 3) z) (* (pow x 3) (pow (- z 1) 4)))) (/ z (- z 1))) (+ (* -1 (/ (* (pow y 2) z) (* (pow x 2) (pow (- z 1) 3)))) (/ (* y z) (* x (pow (- z 1) 2))))) x) |
(* x (- (+ z (/ y x)) 1)) |
(* -1 (/ (* x (+ 1 (* -1 z))) z)) |
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z))))) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (/ z (* x (+ 1 (* -1 z))))) |
(* -1 (/ (+ (/ z (+ 1 (* -1 z))) (/ (* y z) (* x (pow (+ 1 (* -1 z)) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow y 2) z) (* x (pow (+ 1 (* -1 z)) 3)))) (/ (* y z) (pow (+ 1 (* -1 z)) 2))) x)) (/ z (+ 1 (* -1 z)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) z) (* x (pow (+ 1 (* -1 z)) 4))) (* -1 (/ (* (pow y 2) z) (pow (+ 1 (* -1 z)) 3)))) x)) (/ (* y z) (pow (+ 1 (* -1 z)) 2))) x)) (/ z (+ 1 (* -1 z)))) x)) |
(* -1 (* x (+ 1 (* -1 z)))) |
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x)))))) |
(/ (- (* x z) x) z) |
(- (+ x (/ y z)) (/ x z)) |
(- x (/ x z)) |
(/ z (- (* x z) x)) |
(+ (* -1 (/ (* y z) (pow (- (* x z) x) 2))) (/ z (- (* x z) x))) |
(+ (* y (- (/ (* y z) (pow (- (* x z) x) 3)) (/ z (pow (- (* x z) x) 2)))) (/ z (- (* x z) x))) |
(+ (* y (- (* y (- (* -1 (/ (* y z) (pow (- (* x z) x) 4))) (* -1 (/ z (pow (- (* x z) x) 3))))) (/ z (pow (- (* x z) x) 2)))) (/ z (- (* x z) x))) |
(- (* x z) x) |
(- (+ y (* x z)) x) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(/ (+ z (* -1 (/ (* z (- (* x z) x)) y))) y) |
(/ (- (+ z (/ (* z (pow (- (* x z) x) 2)) (pow y 2))) (/ (* z (- (* x z) x)) y)) y) |
(/ (- (+ z (* -1 (/ (* z (pow (- (* x z) x) 3)) (pow y 3)))) (+ (* -1 (/ (* z (pow (- (* x z) x) 2)) (pow y 2))) (/ (* z (- (* x z) x)) y))) y) |
(* y (- (+ 1 (/ (* x z) y)) (/ x y))) |
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (/ (+ (* -1 z) (/ (* z (- (* x z) x)) y)) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- (* x z) x) 2)) y) (* z (- (* x z) x))) y))) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- (* x z) x) 3)) y) (* z (pow (- (* x z) x) 2))) y)) (* z (- (* x z) x))) y))) y)) |
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1))) |
(/ (- y x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ z (- y x)) |
(* z (+ (* -1 (/ (* x z) (pow (- y x) 2))) (/ 1 (- y x)))) |
(* z (+ (* z (- (/ (* (pow x 2) z) (pow (- y x) 3)) (/ x (pow (- y x) 2)))) (/ 1 (- y x)))) |
(* z (+ (* z (- (* z (- (* -1 (/ (* (pow x 3) z) (pow (- y x) 4))) (* -1 (/ (pow x 2) (pow (- y x) 3))))) (/ x (pow (- y x) 2)))) (/ 1 (- y x)))) |
(- y x) |
(* -1 x) |
(+ (* -1 x) (* x z)) |
x |
(/ 1 x) |
(- (+ (/ 1 x) (/ 1 (* x z))) (/ y (* (pow x 2) z))) |
(- (+ (* -1 (/ (* (- y x) (- (/ 1 x) (/ y (pow x 2)))) (* x (pow z 2)))) (+ (/ 1 x) (/ 1 (* x z)))) (/ y (* (pow x 2) z))) |
(- (+ (/ 1 x) (+ (/ 1 (* x z)) (/ (* (pow (- y x) 2) (- (/ 1 x) (/ y (pow x 2)))) (* (pow x 2) (pow z 3))))) (+ (/ y (* (pow x 2) z)) (/ (* (- y x) (- (/ 1 x) (/ y (pow x 2)))) (* x (pow z 2))))) |
(* x z) |
(* z (- (+ x (/ y z)) (/ x z))) |
(* z (+ x (* -1 (/ x z)))) |
(+ (* -1 (/ (- y x) (* (pow x 2) z))) (/ 1 x)) |
(+ (* -1 (/ (- (* -1 (/ (pow (- y x) 2) (* (pow x 3) z))) (* -1 (/ (- y x) (pow x 2)))) z)) (/ 1 x)) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- y x) 3) (* (pow x 4) z))) (* -1 (/ (pow (- y x) 2) (pow x 3)))) z)) (* -1 (/ (- y x) (pow x 2)))) z)) (/ 1 x)) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z))))) |
(* -1 (* z (+ (* -1 x) (/ x z)))) |
| Outputs |
|---|
(/ y z) |
(/.f64 y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ z y) |
(/.f64 z y) |
(+ (* -1 (/ (* x (* z (- z 1))) (pow y 2))) (/ z y)) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (/.f64 z y) z) y) |
(+ (* x (- (/ (* x (* z (pow (- z 1) 2))) (pow y 3)) (/ (* z (- z 1)) (pow y 2)))) (/ z y)) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 z (*.f64 y y)) (*.f64 (*.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) z) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) x (/.f64 z y)) |
(+ (* x (- (* x (- (* -1 (/ (* x (* z (pow (- z 1) 3))) (pow y 4))) (* -1 (/ (* z (pow (- z 1) 2)) (pow y 3))))) (/ (* z (- z 1)) (pow y 2)))) (/ z y)) |
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y y)) z (*.f64 (fma.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) z)) (/.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 z (pow.f64 y #s(literal 3 binary64))))) x)) x (/.f64 z y)) |
y |
(+ y (* x (- z 1))) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y) |
(* x (- z 1)) |
(*.f64 (-.f64 z #s(literal 1 binary64)) x) |
(/ (* x (- z 1)) z) |
(-.f64 x (/.f64 x z)) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(fma.f64 (/.f64 (/.f64 y z) x) x (-.f64 x (/.f64 x z))) |
(* x (- 1 (/ 1 z))) |
(-.f64 x (/.f64 x z)) |
(/ z (* x (- z 1))) |
(/.f64 (/.f64 z (-.f64 z #s(literal 1 binary64))) x) |
(/ (+ (* -1 (/ (* y z) (* x (pow (- z 1) 2)))) (/ z (- z 1))) x) |
(/.f64 (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 y (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 z (-.f64 z #s(literal 1 binary64)))) x) |
(/ (- (+ (/ z (- z 1)) (/ (* (pow y 2) z) (* (pow x 2) (pow (- z 1) 3)))) (/ (* y z) (* x (pow (- z 1) 2)))) x) |
(/.f64 (fma.f64 y (fma.f64 y (/.f64 (/.f64 z (*.f64 x x)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (/.f64 (neg.f64 z) x) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 z (-.f64 z #s(literal 1 binary64)))) x) |
(/ (- (+ (* -1 (/ (* (pow y 3) z) (* (pow x 3) (pow (- z 1) 4)))) (/ z (- z 1))) (+ (* -1 (/ (* (pow y 2) z) (* (pow x 2) (pow (- z 1) 3)))) (/ (* y z) (* x (pow (- z 1) 2))))) x) |
(/.f64 (fma.f64 y (fma.f64 y (/.f64 (/.f64 z (*.f64 x x)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (/.f64 (neg.f64 z) x) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (/.f64 z (-.f64 z #s(literal 1 binary64))) (*.f64 (/.f64 z (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 4 binary64))) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))) x) |
(* x (- (+ z (/ y x)) 1)) |
(*.f64 (-.f64 (+.f64 (/.f64 y x) z) #s(literal 1 binary64)) x) |
(* -1 (/ (* x (+ 1 (* -1 z))) z)) |
(-.f64 x (/.f64 x z)) |
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z))))) |
(fma.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 y z) x)) x) |
(* -1 (* x (- (/ 1 z) 1))) |
(-.f64 x (/.f64 x z)) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(fma.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 y z) x)) x) |
(* -1 (/ z (* x (+ 1 (* -1 z))))) |
(/.f64 (/.f64 z (-.f64 z #s(literal 1 binary64))) x) |
(* -1 (/ (+ (/ z (+ 1 (* -1 z))) (/ (* y z) (* x (pow (+ 1 (* -1 z)) 2)))) x)) |
(/.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 z x) (/.f64 z (-.f64 #s(literal 1 binary64) z))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow y 2) z) (* x (pow (+ 1 (* -1 z)) 3)))) (/ (* y z) (pow (+ 1 (* -1 z)) 2))) x)) (/ z (+ 1 (* -1 z)))) x)) |
(/.f64 (+.f64 (/.f64 (*.f64 y (fma.f64 y (/.f64 (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))) x) (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))) x) (/.f64 z (-.f64 #s(literal 1 binary64) z))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) z) (* x (pow (+ 1 (* -1 z)) 4))) (* -1 (/ (* (pow y 2) z) (pow (+ 1 (* -1 z)) 3)))) x)) (/ (* y z) (pow (+ 1 (* -1 z)) 2))) x)) (/ z (+ 1 (* -1 z)))) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) (fma.f64 y (/.f64 (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) x) (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) x) (*.f64 (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) y)) x) (/.f64 z (-.f64 #s(literal 1 binary64) z))) (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 z)))) |
(*.f64 (-.f64 z #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 y x) z) #s(literal 1 binary64)) x) |
(/ (- (* x z) x) z) |
(-.f64 x (/.f64 x z)) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- x (/ x z)) |
(-.f64 x (/.f64 x z)) |
(/ z (- (* x z) x)) |
(/.f64 (/.f64 z (-.f64 z #s(literal 1 binary64))) x) |
(+ (* -1 (/ (* y z) (pow (- (* x z) x) 2))) (/ z (- (* x z) x))) |
(fma.f64 (neg.f64 y) (/.f64 z (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) x) #s(literal 2 binary64))) (/.f64 (/.f64 z (-.f64 z #s(literal 1 binary64))) x)) |
(+ (* y (- (/ (* y z) (pow (- (* x z) x) 3)) (/ z (pow (- (* x z) x) 2)))) (/ z (- (* x z) x))) |
(fma.f64 (*.f64 (/.f64 z (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (-.f64 z #s(literal 1 binary64)) x)))) y (/.f64 (/.f64 z (-.f64 z #s(literal 1 binary64))) x)) |
(+ (* y (- (* y (- (* -1 (/ (* y z) (pow (- (* x z) x) 4))) (* -1 (/ z (pow (- (* x z) x) 3))))) (/ z (pow (- (* x z) x) 2)))) (/ z (- (* x z) x))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) x) #s(literal 4 binary64))) (neg.f64 y) (/.f64 z (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) x) #s(literal 3 binary64)))) y (/.f64 (neg.f64 z) (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) x) #s(literal 2 binary64)))) y (/.f64 (/.f64 z (-.f64 z #s(literal 1 binary64))) x)) |
(- (* x z) x) |
(*.f64 (-.f64 z #s(literal 1 binary64)) x) |
(- (+ y (* x z)) x) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) x y) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(*.f64 (+.f64 (/.f64 (-.f64 x (/.f64 x z)) y) (/.f64 #s(literal 1 binary64) z)) y) |
(/ (+ z (* -1 (/ (* z (- (* x z) x)) y))) y) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (/.f64 z y) z) y) |
(/ (- (+ z (/ (* z (pow (- (* x z) x) 2)) (pow y 2))) (/ (* z (- (* x z) x)) y)) y) |
(/.f64 (+.f64 (/.f64 (*.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) x (/.f64 (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) x) #s(literal 2 binary64)) y))) y) z) y) |
(/ (- (+ z (* -1 (/ (* z (pow (- (* x z) x) 3)) (pow y 3)))) (+ (* -1 (/ (* z (pow (- (* x z) x) 2)) (pow y 2))) (/ (* z (- (* x z) x)) y))) y) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) x) y) #s(literal 3 binary64)) (neg.f64 z) (+.f64 (/.f64 (*.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) x (/.f64 (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) x) #s(literal 2 binary64)) y))) y) z)) y) |
(* y (- (+ 1 (/ (* x z) y)) (/ x y))) |
(*.f64 (fma.f64 (/.f64 x y) (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) y) |
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z)))) |
(*.f64 (+.f64 (/.f64 (-.f64 x (/.f64 x z)) y) (/.f64 #s(literal 1 binary64) z)) y) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(*.f64 (+.f64 (/.f64 (-.f64 x (/.f64 x z)) y) (/.f64 #s(literal 1 binary64) z)) y) |
(* -1 (/ (+ (* -1 z) (/ (* z (- (* x z) x)) y)) y)) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (/.f64 z y) z) y) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- (* x z) x) 2)) y) (* z (- (* x z) x))) y))) y)) |
(/.f64 (+.f64 (/.f64 (*.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) x (/.f64 (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) x) #s(literal 2 binary64)) y))) y) z) y) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- (* x z) x) 3)) y) (* z (pow (- (* x z) x) 2))) y)) (* z (- (* x z) x))) y))) y)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) x) y) #s(literal 3 binary64)) (neg.f64 z) (+.f64 (/.f64 (*.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) x (/.f64 (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) x) #s(literal 2 binary64)) y))) y) z)) y) |
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) y) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- (+ y (* x z)) x) z) |
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x y) z) |
(/ z (- y x)) |
(/.f64 z (-.f64 y x)) |
(* z (+ (* -1 (/ (* x z) (pow (- y x) 2))) (/ 1 (- y x)))) |
(fma.f64 (*.f64 (/.f64 z (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (neg.f64 x)) z (/.f64 z (-.f64 y x))) |
(* z (+ (* z (- (/ (* (pow x 2) z) (pow (- y x) 3)) (/ x (pow (- y x) 2)))) (/ 1 (- y x)))) |
(fma.f64 (*.f64 z z) (-.f64 (*.f64 (/.f64 z (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (*.f64 x x)) (/.f64 x (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (/.f64 z (-.f64 y x))) |
(* z (+ (* z (- (* z (- (* -1 (/ (* (pow x 3) z) (pow (- y x) 4))) (* -1 (/ (pow x 2) (pow (- y x) 3))))) (/ x (pow (- y x) 2)))) (/ 1 (- y x)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (neg.f64 z) (pow.f64 (-.f64 y x) #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)) (*.f64 x (/.f64 x (pow.f64 (-.f64 y x) #s(literal 3 binary64))))) z (/.f64 (neg.f64 x) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (-.f64 y x))) z) |
(- y x) |
(-.f64 y x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* x z)) |
(*.f64 (-.f64 z #s(literal 1 binary64)) x) |
x |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(- (+ (/ 1 x) (/ 1 (* x z))) (/ y (* (pow x 2) z))) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y x) x)) z) (/.f64 #s(literal 1 binary64) x)) |
(- (+ (* -1 (/ (* (- y x) (- (/ 1 x) (/ y (pow x 2)))) (* x (pow z 2)))) (+ (/ 1 x) (/ 1 (* x z)))) (/ y (* (pow x 2) z))) |
(fma.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y x) x)) x)) (/.f64 (-.f64 y x) (*.f64 z z)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y x) x)) z) (/.f64 #s(literal 1 binary64) x))) |
(- (+ (/ 1 x) (+ (/ 1 (* x z)) (/ (* (pow (- y x) 2) (- (/ 1 x) (/ y (pow x 2)))) (* (pow x 2) (pow z 3))))) (+ (/ y (* (pow x 2) z)) (/ (* (- y x) (- (/ 1 x) (/ y (pow x 2)))) (* x (pow z 2))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y x) x)) (*.f64 x x)) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y x) x)) x)) (/.f64 (-.f64 y x) (*.f64 z z)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y x) x)) z) (/.f64 #s(literal 1 binary64) x)))) |
(* x z) |
(*.f64 x z) |
(* z (- (+ x (/ y z)) (/ x z))) |
(*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) z) |
(* z (+ x (* -1 (/ x z)))) |
(*.f64 (-.f64 z #s(literal 1 binary64)) x) |
(+ (* -1 (/ (- y x) (* (pow x 2) z))) (/ 1 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (-.f64 y x) z) (*.f64 x x))) |
(+ (* -1 (/ (- (* -1 (/ (pow (- y x) 2) (* (pow x 3) z))) (* -1 (/ (- y x) (pow x 2)))) z)) (/ 1 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 y x) x) x) (/.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) z) (pow.f64 x #s(literal 3 binary64)))) z)) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- y x) 3) (* (pow x 4) z))) (* -1 (/ (pow (- y x) 2) (pow x 3)))) z)) (* -1 (/ (- y x) (pow x 2)))) z)) (/ 1 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 y x) x) x) (/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) z) (pow.f64 x #s(literal 4 binary64)))) z)) z)) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z))))) |
(*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) z) |
(* -1 (* z (+ (* -1 x) (/ x z)))) |
(*.f64 (-.f64 z #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 75 |
| 0 | 19 | 75 |
| 1 | 102 | 71 |
| 2 | 820 | 71 |
| 0 | 8964 | 67 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))))) |
(/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))) |
#s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 z #s(literal 1 binary64)) x) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) z) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) z) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) z) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) z) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) z) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) z) #s(literal 1 binary64)) |
(*.f64 (neg.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) (neg.f64 z))) |
(*.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) z)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))) (/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) z) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) z) #s(literal 1 binary64)) |
(pow.f64 (/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))) #s(literal 1 binary64)) (neg.f64 z)) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)))) |
(/.f64 (/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) (neg.f64 z)) #s(literal -1 binary64)) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) z) #s(literal 1 binary64)) |
(/.f64 (neg.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)))) |
(/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)))) |
(neg.f64 (/.f64 (/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) (neg.f64 z)) #s(literal 1 binary64))) |
(neg.f64 (/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) (neg.f64 z))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)))) #s(literal -1 binary64))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) z)) |
(*.f64 (pow.f64 (/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) z) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) z) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) z) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)))) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) #s(literal -1 binary64)) z) |
(*.f64 (/.f64 (neg.f64 z) #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))) #s(literal -1 binary64)) |
(*.f64 (neg.f64 z) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))) #s(literal 1 binary64)) |
(*.f64 z (pow.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)))) |
(pow.f64 (/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) z) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))) #s(literal 1 binary64)) |
(/.f64 (/.f64 (neg.f64 z) #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 z) (neg.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) (neg.f64 z))) |
(/.f64 (/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))) #s(literal 1 binary64)) |
(/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) z)) |
(neg.f64 (/.f64 (neg.f64 z) #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)))) (/.f64 (neg.f64 z) #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) z)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)))) |
(*.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))) |
(pow.f64 (pow.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) #s(literal 1 binary64)) |
#s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) |
(/.f64 (neg.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))) #s(literal -1 binary64)) |
(/.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (-.f64 z #s(literal -1 binary64))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) x) (pow.f64 (-.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) x) (pow.f64 (fma.f64 z z (-.f64 z #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (fma.f64 z z #s(literal -1 binary64))) (pow.f64 (-.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 z z (-.f64 z #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 z z (-.f64 z #s(literal -1 binary64))) #s(literal -1 binary64)) x)) |
(*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (-.f64 z #s(literal 1 binary64)) x) |
(*.f64 x (-.f64 z #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) x) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) x) (neg.f64 (fma.f64 z z (-.f64 z #s(literal -1 binary64))))) |
(/.f64 (*.f64 x (fma.f64 (neg.f64 z) z #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) |
(/.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 z z (-.f64 z #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)))) (-.f64 (*.f64 x z) (*.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x z) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (*.f64 x z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x z) (*.f64 x #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) z) x)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) z) x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) x)) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 z z (-.f64 z #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 z z #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 z z (-.f64 z #s(literal -1 binary64))))) |
(/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) x) (-.f64 z #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 z z (-.f64 z #s(literal -1 binary64)))) |
(/.f64 (*.f64 x (fma.f64 z z #s(literal -1 binary64))) (-.f64 z #s(literal -1 binary64))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 z z (-.f64 z #s(literal -1 binary64)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 z #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z #s(literal -1 binary64)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 z #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z #s(literal -1 binary64)) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 z #s(literal -1 binary64))) (*.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 #s(literal -1 binary64) x (*.f64 x z)) |
(fma.f64 (*.f64 x z) #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))) |
(fma.f64 (*.f64 x z) #s(literal 1 binary64) (neg.f64 x)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 x z)) |
(fma.f64 x z (*.f64 x #s(literal -1 binary64))) |
(fma.f64 x z (neg.f64 x)) |
(fma.f64 z x (*.f64 x #s(literal -1 binary64))) |
(fma.f64 z x (neg.f64 x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (*.f64 x #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (neg.f64 x)) |
(-.f64 (fma.f64 x z #s(literal 0 binary64)) x) |
(-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 x z))) |
(-.f64 (*.f64 x z) x) |
(+.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x z)) |
(+.f64 (neg.f64 x) (*.f64 x z)) |
(+.f64 (*.f64 x z) (*.f64 x #s(literal -1 binary64))) |
(+.f64 (*.f64 x z) (neg.f64 x)) |
Compiled 5 534 to 875 computations (84.2% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 172 | 0 | 172 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 172 | 8 | 180 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 x (/.f64 (-.f64 y x) z)) |
| ✓ | 90.0% | #s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z)) |
| ✓ | 58.9% | #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
| ✓ | 24.6% | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
| ✓ | 40.3% | #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
| ✓ | 54.3% | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))))) |
| ✓ | 57.8% | #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) |
| ✓ | 64.4% | #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
Compiled 272 to 122 computations (55.1% saved)
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(+.f64 x (/.f64 (-.f64 y x) z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) |
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (+ (* x z) (- y x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 x z (-.f64 y x))))) |
(+.f64 x (/.f64 (fma.f64 z y (*.f64 (neg.f64 z) x)) (*.f64 z z))) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
4 calls:
| 18.0ms | z |
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | (+.f64 x (/.f64 (-.f64 y x) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (+.f64 x (/.f64 (-.f64 y x) z)) |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
| Outputs |
|---|
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
4 calls:
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (+.f64 x (/.f64 (-.f64 y x) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.7% | 3 | x |
| 82.2% | 3 | y |
| 85.8% | 3 | z |
| 72.5% | 3 | (+.f64 x (/.f64 (-.f64 y x) z)) |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
| Outputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
3 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.9% | 3 | x |
| 80.4% | 3 | y |
| 73.5% | 5 | z |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
| Outputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
4 calls:
| 17.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | (+.f64 x (/.f64 (-.f64 y x) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.9% | 3 | z |
| 43.4% | 2 | (+.f64 x (/.f64 (-.f64 y x) z)) |
| 50.3% | 3 | x |
| 49.6% | 3 | y |
Compiled 10 to 15 computations (-50% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
| Outputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
4 calls:
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | (+.f64 x (/.f64 (-.f64 y x) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.3% | 1 | z |
| 40.3% | 1 | (+.f64 x (/.f64 (-.f64 y x) z)) |
| 40.3% | 1 | y |
| 40.3% | 1 | x |
Compiled 10 to 15 computations (-50% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 2.430355102337465e-7 | 0.0004044582231175737 |
| 10.0ms | -3.986843631099443e+43 | -8.035865410548269e+39 |
| 10.0ms | 256× | 0 | valid |
Compiled 426 to 332 computations (22.1% saved)
ival-div: 2.0ms (42.7% of total)ival-sub: 1.0ms (21.3% of total)ival-add: 1.0ms (21.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 2.1037294457965087e+119 | 1.5317415663916006e+120 |
| 54.0ms | -2.3778477736478925e+79 | -1.2512795237243901e+77 |
| 54.0ms | 208× | 0 | valid |
Compiled 322 to 259 computations (19.6% saved)
ival-sub: 1.0ms (25.9% of total)ival-div: 1.0ms (25.9% of total)ival-add: 1.0ms (25.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 6.568040335106697e-19 | 9.807287999168945e-15 |
| 10.0ms | -2.705508876143559e+99 | -5.5073686053926055e+94 |
| 11.0ms | 256× | 0 | valid |
Compiled 442 to 332 computations (24.9% saved)
ival-div: 2.0ms (42.1% of total)ival-sub: 1.0ms (21.1% of total)ival-add: 1.0ms (21.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 122 |
| 1 | 59 | 122 |
| 2 | 75 | 122 |
| 3 | 99 | 122 |
| 4 | 147 | 122 |
| 5 | 227 | 122 |
| 6 | 529 | 122 |
| 7 | 1992 | 122 |
| 8 | 3324 | 122 |
| 9 | 7027 | 122 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
(if (<=.f64 z #s(literal -23999999999999999761945812533105460772864 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 4242751136953197/18446744073709551616 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))))) |
(if (<=.f64 y #s(literal -21000000000000000795430259102936028307239711875580412302320930769351183779758080 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 215000000000000015768858584602878980653475950366117563380503042266075901848799520610504894284190445159939195877531320320 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)))) |
(if (<=.f64 x #s(literal -5400000000000000435252470578924520051086813929822680316952271841967049962102643836820341334736896 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (if (<=.f64 x #s(literal 4183246980753157/633825300114114700748351602688 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
(if (<=.f64 z #s(literal -23999999999999999761945812533105460772864 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 4242751136953197/18446744073709551616 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))))) |
(if (or (<=.f64 z #s(literal -23999999999999999761945812533105460772864 binary64)) (not (<=.f64 z #s(literal 4242751136953197/18446744073709551616 binary64)))) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))) |
(if (<=.f64 y #s(literal -21000000000000000795430259102936028307239711875580412302320930769351183779758080 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 215000000000000015768858584602878980653475950366117563380503042266075901848799520610504894284190445159939195877531320320 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)))) |
(if (or (<=.f64 y #s(literal -21000000000000000795430259102936028307239711875580412302320930769351183779758080 binary64)) (not (<=.f64 y #s(literal 215000000000000015768858584602878980653475950366117563380503042266075901848799520610504894284190445159939195877531320320 binary64)))) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))) |
(if (<=.f64 x #s(literal -5400000000000000435252470578924520051086813929822680316952271841967049962102643836820341334736896 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (if (<=.f64 x #s(literal 4183246980753157/633825300114114700748351602688 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)))) |
(if (or (<=.f64 x #s(literal -5400000000000000435252470578924520051086813929822680316952271841967049962102643836820341334736896 binary64)) (not (<=.f64 x #s(literal 4183246980753157/633825300114114700748351602688 binary64)))) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 122 | 331 |
| 1 | 367 | 269 |
| 2 | 1029 | 269 |
| 3 | 3338 | 269 |
| 4 | 6042 | 269 |
| 0 | 8090 | 261 |
| 0 | 71 | 173 |
| 1 | 198 | 125 |
| 2 | 553 | 125 |
| 3 | 1600 | 125 |
| 4 | 3692 | 125 |
| 5 | 5299 | 125 |
| 6 | 6767 | 125 |
| 7 | 7045 | 125 |
| 8 | 7147 | 125 |
| 9 | 7147 | 125 |
| 0 | 8403 | 124 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 151 to 75 computations (50.3% saved)
Compiled 258 to 92 computations (64.3% saved)
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