
Time bar (total: 6.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 9 to 9 computations (0% saved)
| 499.0ms | 8 251× | 0 | valid |
| 0.0ms | 3× | 1 | valid |
| 0.0ms | 2× | 2 | valid |
ival-mult: 63.0ms (35.3% of total)ival-add: 58.0ms (32.5% of total)ival-sub: 43.0ms (24.1% of total)ival-true: 6.0ms (3.4% of total)exact: 5.0ms (2.8% of total)ival-assert: 3.0ms (1.7% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) z) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 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 |
| 23.0ms | 512× | 0 | valid |
Compiled 62 to 32 computations (48.4% saved)
ival-sub: 3.0ms (32.8% of total)ival-add: 3.0ms (32.8% of total)ival-mult: 3.0ms (32.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 68 |
| 1 | 69 | 64 |
| 2 | 233 | 63 |
| 3 | 891 | 63 |
| 4 | 2932 | 63 |
| 5 | 4869 | 63 |
| 6 | 5817 | 63 |
| 7 | 6075 | 63 |
| 8 | 6127 | 63 |
| 9 | 6150 | 63 |
| 10 | 6153 | 63 |
| 11 | 6216 | 63 |
| 12 | 6224 | 63 |
| 13 | 6224 | 63 |
| 14 | 6224 | 63 |
| 15 | 6262 | 63 |
| 16 | 6262 | 63 |
| 0 | 7 | 7 |
| 0 | 10 | 7 |
| 1 | 16 | 7 |
| 2 | 34 | 7 |
| 3 | 74 | 7 |
| 4 | 219 | 7 |
| 5 | 508 | 7 |
| 6 | 826 | 7 |
| 7 | 1312 | 7 |
| 8 | 1906 | 7 |
| 9 | 2021 | 7 |
| 10 | 2021 | 7 |
| 0 | 2021 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| Outputs |
|---|
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(sort x y)
Compiled 7 to 7 computations (0% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
Compiled 7 to 7 computations (0% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 0 | 10 | 17 |
| 1 | 16 | 17 |
| 2 | 34 | 17 |
| 3 | 74 | 17 |
| 4 | 219 | 17 |
| 5 | 508 | 17 |
| 6 | 826 | 17 |
| 7 | 1312 | 17 |
| 8 | 1906 | 17 |
| 9 | 2021 | 17 |
| 10 | 2021 | 17 |
| 0 | 2021 | 17 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
(+.f64 x y) |
x |
y |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
| Outputs |
|---|
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) z) | |
| accuracy | 0.0 | (+.f64 x y) | |
| accuracy | 0.01171875 | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| 13.0ms | 256× | 0 | valid |
Compiled 36 to 16 computations (55.6% saved)
ival-sub: 3.0ms (48.2% of total)ival-add: 1.0ms (16.1% of total)ival-mult: 1.0ms (16.1% 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 x y) (-.f64 #s(literal 1 binary64) z)) |
(+.f64 x y) |
(-.f64 #s(literal 1 binary64) z) |
| Outputs |
|---|
(* y (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
y |
(+ x y) |
(* x (- 1 z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
x |
(* x (+ 1 (/ y x))) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (+ 1 (/ x y))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
1 |
(+ 1 (* -1 z)) |
(* -1 (* z (+ x y))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* -1 z) |
(* z (- (/ 1 z) 1)) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (- 1 (/ 1 z)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((* (+ x y) (- 1 z)) (+ x y) (- 1 z)) |
| 1.0ms | y | @ | -inf | ((* (+ x y) (- 1 z)) (+ x y) (- 1 z)) |
| 0.0ms | x | @ | -inf | ((* (+ x y) (- 1 z)) (+ x y) (- 1 z)) |
| 0.0ms | y | @ | inf | ((* (+ x y) (- 1 z)) (+ x y) (- 1 z)) |
| 0.0ms | z | @ | -inf | ((* (+ x y) (- 1 z)) (+ x y) (- 1 z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 101 |
| 1 | 213 | 101 |
| 2 | 695 | 101 |
| 3 | 2379 | 101 |
| 4 | 5808 | 101 |
| 0 | 8067 | 101 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
y |
(+ x y) |
(* x (- 1 z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
x |
(* x (+ 1 (/ y x))) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (+ 1 (/ x y))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
1 |
(+ 1 (* -1 z)) |
(* -1 (* z (+ x y))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* -1 z) |
(* z (- (/ 1 z) 1)) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (- 1 (/ 1 z)))) |
| Outputs |
|---|
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z)) |
y |
(+ x y) |
(+.f64 y x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z)) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z)) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* z (+ x y))) |
(*.f64 (neg.f64 z) (+.f64 y x)) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ 1 z) 1)) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z)) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 0 | 10 | 13 |
| 1 | 41 | 13 |
| 2 | 307 | 13 |
| 3 | 4064 | 13 |
| 0 | 9653 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
(+.f64 x y) |
(-.f64 #s(literal 1 binary64) z) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (+.f64 y x)) (fma.f64 (neg.f64 z) z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 z z z))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)) (+.f64 (pow.f64 (fma.f64 z z z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 z z z) (-.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 x y) (+.f64 y x))) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (+.f64 y x)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 x y) (+.f64 y x))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (*.f64 (-.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y)))) |
(*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 y x))) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y))) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y)))) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (-.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (+.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 y x))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (+.f64 y x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 x y) (+.f64 y x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (*.f64 x x))) (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (-.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y)) (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (-.f64 y x)) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 z)))) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 y x))) |
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(fma.f64 (-.f64 #s(literal 1 binary64) z) (pow.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))))) |
(fma.f64 (neg.f64 z) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))))) |
(fma.f64 z #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 z #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (neg.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 z) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) z #s(literal 1 binary64)) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z)))) |
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 z #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (neg.f64 z)) |
(-.f64 #s(literal 1 binary64) z) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (neg.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))))) |
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))) |
(+.f64 (neg.f64 z) #s(literal 1 binary64)) |
(+.f64 z #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 z))) |
(+.f64 #s(literal 1 binary64) (neg.f64 z)) |
(+.f64 #s(literal 1 binary64) z) |
Compiled 31 488 to 2 752 computations (91.3% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 837 | 6 | 843 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 837 | 7 | 844 |
| Status | Accuracy | Program |
|---|---|---|
| 98.0% | (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) | |
| ▶ | 100.0% | (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) |
| ✓ | 100.0% | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| ▶ | 49.7% | (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) |
| ▶ | 51.6% | (*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64))) |
| ▶ | 53.4% | #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) |
| ▶ | 49.7% | #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
Compiled 135 to 113 computations (16.3% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (- 1 z) (neg.f64 z)) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) | |
| cost-diff | 0 | #s(approx (- 1 z) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) z) y) | |
| cost-diff | 0 | #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) z) x) | |
| cost-diff | 0 | #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 192 | (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 109 |
| 0 | 31 | 109 |
| 1 | 53 | 107 |
| 2 | 113 | 107 |
| 3 | 243 | 107 |
| 4 | 525 | 107 |
| 5 | 820 | 107 |
| 6 | 1363 | 107 |
| 7 | 1804 | 107 |
| 8 | 2069 | 107 |
| 9 | 2233 | 107 |
| 10 | 2297 | 107 |
| 11 | 2301 | 107 |
| 12 | 2307 | 107 |
| 13 | 2311 | 107 |
| 0 | 2311 | 107 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(neg.f64 z) |
z |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
x |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
y |
(*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64))) |
(+.f64 x y) |
x |
y |
#s(approx (- 1 z) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) |
(+.f64 x y) |
x |
y |
#s(approx (- 1 z) (neg.f64 z)) |
(neg.f64 z) |
z |
| Outputs |
|---|
(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
(neg.f64 z) |
z |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
x |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
y |
(*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64))) |
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) (+.f64 x y)) |
(+.f64 x y) |
x |
y |
#s(approx (- 1 z) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) |
(*.f64 #s(approx (- 1 z) (neg.f64 z)) (+.f64 x y)) |
(+.f64 x y) |
x |
y |
#s(approx (- 1 z) (neg.f64 z)) |
(neg.f64 z) |
z |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 x y) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 0.01171875 | (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) | |
| accuracy | 32.229055924069904 | #s(approx (- 1 z) (neg.f64 z)) | |
| accuracy | 0.0 | (+.f64 x y) | |
| accuracy | 0.01171875 | (*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64))) | |
| accuracy | 31.14603882416622 | #s(approx (- 1 z) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) z) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 #s(literal 1 binary64) z) y) | |
| accuracy | 29.802961269405206 | #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) z) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 #s(literal 1 binary64) z) x) | |
| accuracy | 32.16687178051937 | #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) | |
| accuracy | 0.0 | (+.f64 y x) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 0.00390625 | (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) |
| 34.0ms | 256× | 0 | valid |
Compiled 199 to 36 computations (81.9% saved)
ival-mult: 8.0ms (54.5% of total)ival-add: 4.0ms (27.3% of total)ival-sub: 1.0ms (6.8% of total)ival-neg: 1.0ms (6.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) |
(+.f64 y x) |
(neg.f64 z) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(-.f64 #s(literal 1 binary64) z) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64))) |
(+.f64 x y) |
#s(approx (- 1 z) #s(literal 1 binary64)) |
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) |
#s(approx (- 1 z) (neg.f64 z)) |
| Outputs |
|---|
(+ y (* -1 (* y z))) |
(+ y (+ (* -1 (* y z)) (* x (+ 1 (* -1 z))))) |
y |
(+ x y) |
(* y (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(* x (- 1 z)) |
(* x (+ 1 (* -1 z))) |
(* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x))))) |
x |
(* x (+ 1 (/ y x))) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* -1 (* x (- z 1))) |
(* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 z))))) |
(* y (+ 1 (* -1 z))) |
(* y (+ 1 (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y))))) |
(* y (+ 1 (/ x y))) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* -1 (* y (- z 1))) |
(* -1 (* y (- (+ z (* -1 (/ (+ x (* -1 (* x z))) y))) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(* -1 z) |
1 |
(+ 1 (* -1 z)) |
(* -1 (* z (+ x y))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ x z))) |
(* z (- (/ 1 z) 1)) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (/ y z))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (+ y (* -1 (/ y z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 149.0ms | x | @ | -inf | ((+ (* (+ y x) (neg z)) (+ y x)) (+ y x) (neg z) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z) (* (+ x y) (- 1 z)) (- 1 z)) |
| 2.0ms | z | @ | -inf | ((+ (* (+ y x) (neg z)) (+ y x)) (+ y x) (neg z) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z) (* (+ x y) (- 1 z)) (- 1 z)) |
| 1.0ms | x | @ | inf | ((+ (* (+ y x) (neg z)) (+ y x)) (+ y x) (neg z) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z) (* (+ x y) (- 1 z)) (- 1 z)) |
| 1.0ms | z | @ | inf | ((+ (* (+ y x) (neg z)) (+ y x)) (+ y x) (neg z) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z) (* (+ x y) (- 1 z)) (- 1 z)) |
| 1.0ms | y | @ | -inf | ((+ (* (+ y x) (neg z)) (+ y x)) (+ y x) (neg z) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z) (* (+ x y) (- 1 z)) (- 1 z)) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 277 |
| 1 | 408 | 201 |
| 2 | 1233 | 201 |
| 3 | 3825 | 201 |
| 4 | 7253 | 201 |
| 0 | 8020 | 201 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ y (* -1 (* y z))) |
(+ y (+ (* -1 (* y z)) (* x (+ 1 (* -1 z))))) |
y |
(+ x y) |
(* y (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(* x (- 1 z)) |
(* x (+ 1 (* -1 z))) |
(* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x))))) |
x |
(* x (+ 1 (/ y x))) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* -1 (* x (- z 1))) |
(* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 z))))) |
(* y (+ 1 (* -1 z))) |
(* y (+ 1 (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y))))) |
(* y (+ 1 (/ x y))) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* -1 (* y (- z 1))) |
(* -1 (* y (- (+ z (* -1 (/ (+ x (* -1 (* x z))) y))) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(* -1 z) |
1 |
(+ 1 (* -1 z)) |
(* -1 (* z (+ x y))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ x z))) |
(* z (- (/ 1 z) 1)) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (/ y z))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (+ y (* -1 (/ y z))))) |
| Outputs |
|---|
(+ y (* -1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+ y (+ (* -1 (* y z)) (* x (+ 1 (* -1 z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
y |
(+ x y) |
(+.f64 x y) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (+ 1 (* -1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(* -1 (* x (- z 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(* y (+ 1 (* -1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* y (+ 1 (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(* -1 (* y (- z 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* -1 (* y (- (+ z (* -1 (/ (+ x (* -1 (* x z))) y))) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(* -1 z) |
(neg.f64 z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* z (+ x y))) |
(*.f64 (neg.f64 z) (+.f64 x y)) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* z (+ (* -1 x) (/ x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* z (- (/ 1 z) 1)) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* z (+ (* -1 y) (/ y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* z (+ y (* -1 (/ y z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 86 |
| 0 | 31 | 86 |
| 1 | 98 | 84 |
| 2 | 865 | 84 |
| 0 | 8322 | 84 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) |
(+.f64 y x) |
(neg.f64 z) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(-.f64 #s(literal 1 binary64) z) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64))) |
(+.f64 x y) |
#s(approx (- 1 z) #s(literal 1 binary64)) |
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) |
#s(approx (- 1 z) (neg.f64 z)) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 x y)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
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(/.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x)) |
(/.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 #s(approx (- 1 z) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(approx (- 1 z) (neg.f64 z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(approx (- 1 z) (neg.f64 z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(approx (- 1 z) (neg.f64 z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(approx (- 1 z) (neg.f64 z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 #s(approx (- 1 z) (neg.f64 z)) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) (*.f64 (+.f64 x y) (-.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) x (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) |
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
(fma.f64 x #s(approx (- 1 z) (neg.f64 z)) (*.f64 y #s(approx (- 1 z) (neg.f64 z)))) |
(fma.f64 y #s(approx (- 1 z) (neg.f64 z)) (*.f64 x #s(approx (- 1 z) (neg.f64 z)))) |
(+.f64 (*.f64 x #s(approx (- 1 z) (neg.f64 z))) (*.f64 y #s(approx (- 1 z) (neg.f64 z)))) |
(+.f64 (*.f64 y #s(approx (- 1 z) (neg.f64 z))) (*.f64 x #s(approx (- 1 z) (neg.f64 z)))) |
(+.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) |
(+.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) y) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
#s(approx (- 1 z) (neg.f64 z)) |
Compiled 23 398 to 2 150 computations (90.8% saved)
10 alts after pruning (7 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 838 | 6 | 844 |
| Fresh | 0 | 1 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 841 | 10 | 851 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.0% | (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
| ✓ | 100.0% | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| ✓ | 49.7% | (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) |
| ✓ | 51.6% | (*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64))) |
| 53.4% | #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) y y)) | |
| 49.7% | #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) | |
| ▶ | 27.7% | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
| ▶ | 26.0% | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
| ▶ | 27.9% | #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z))) |
| ▶ | 25.7% | #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))) |
Compiled 230 to 171 computations (25.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) z) | |
| cost-diff | 0 | #s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z)) | |
| cost-diff | 0 | #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) x) | |
| cost-diff | 0 | #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x)) | |
| cost-diff | 0 | #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))) | |
| cost-diff | 0 | #s(approx (- 1 z) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | #s(approx (- 1 z) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) z) x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) z) | |
| cost-diff | 384 | (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 152 |
| 0 | 35 | 149 |
| 1 | 57 | 149 |
| 2 | 94 | 149 |
| 3 | 164 | 149 |
| 4 | 339 | 149 |
| 5 | 666 | 149 |
| 6 | 1278 | 149 |
| 7 | 1504 | 149 |
| 8 | 1716 | 149 |
| 9 | 1818 | 149 |
| 10 | 1820 | 149 |
| 11 | 1822 | 149 |
| 12 | 1825 | 149 |
| 13 | 1827 | 149 |
| 0 | 1827 | 149 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
y |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
x |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) |
#s(approx (- 1 z) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) |
#s(approx (- 1 z) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))) |
#s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x)) |
(*.f64 (neg.f64 z) x) |
(neg.f64 z) |
z |
x |
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z))) |
#s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
| Outputs |
|---|
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
y |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
x |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) |
#s(approx (- 1 z) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) |
#s(approx (- 1 z) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))) |
#s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x)) |
(*.f64 (neg.f64 z) x) |
(neg.f64 z) |
z |
x |
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z))) |
#s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 (neg.f64 y) z) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 29.802961269405206 | #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z))) | |
| accuracy | 31.729745141672087 | #s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z)) | |
| accuracy | 0.0 | (*.f64 (neg.f64 z) x) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 32.03439954004158 | #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x)) | |
| accuracy | 32.16687178051937 | #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) | |
| accuracy | 29.802961269405206 | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) | |
| accuracy | 31.14603882416622 | #s(approx (- 1 z) #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) | |
| accuracy | 31.14603882416622 | #s(approx (- 1 z) #s(literal 1 binary64)) | |
| accuracy | 32.16687178051937 | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) z) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 #s(literal 1 binary64) z) x) | |
| accuracy | 1.253892488027801 | (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
| 29.0ms | 256× | 0 | valid |
Compiled 251 to 42 computations (83.3% saved)
ival-mult: 7.0ms (47.3% of total)ival-neg: 3.0ms (20.3% of total)ival-sub: 2.0ms (13.5% of total)ival-add: 2.0ms (13.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(-.f64 #s(literal 1 binary64) z) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) |
#s(approx (- 1 z) #s(literal 1 binary64)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) |
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))) |
#s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x)) |
(*.f64 (neg.f64 z) x) |
(neg.f64 z) |
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z))) |
#s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
| Outputs |
|---|
(* y (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(* x (- 1 z)) |
(* -1 (* x z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* -1 (* y z)) |
(* -1 y) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(+ x y) |
(+ x (+ y (* z (+ (* -1 x) (* -1 y))))) |
1 |
(+ 1 (* -1 z)) |
x |
(+ x (* -1 (* x z))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
y |
(+ y (* -1 (* y z))) |
(* -1 z) |
(* z (+ (* -1 x) (* -1 y))) |
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z))))) |
(* z (- (/ 1 z) 1)) |
(* z (+ (* -1 x) (/ x z))) |
(* -1 (* z (+ x y))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* z (+ (* -1 y) (/ y z))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(* -1 (* z (+ y (* -1 (/ y z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | ((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (* (- 1 z) x) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (* (neg z) x) (neg z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (neg y) z) (neg y)) |
| 2.0ms | z | @ | inf | ((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (* (- 1 z) x) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (* (neg z) x) (neg z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (neg y) z) (neg y)) |
| 1.0ms | z | @ | 0 | ((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (* (- 1 z) x) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (* (neg z) x) (neg z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (neg y) z) (neg y)) |
| 1.0ms | x | @ | inf | ((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (* (- 1 z) x) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (* (neg z) x) (neg z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (neg y) z) (neg y)) |
| 1.0ms | x | @ | 0 | ((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (* (- 1 z) x) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (* (neg z) x) (neg z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (neg y) z) (neg y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 149 |
| 1 | 259 | 149 |
| 2 | 776 | 149 |
| 3 | 2190 | 149 |
| 4 | 7034 | 149 |
| 0 | 8105 | 149 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(* x (- 1 z)) |
(* -1 (* x z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* -1 (* y z)) |
(* -1 y) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(+ x y) |
(+ x (+ y (* z (+ (* -1 x) (* -1 y))))) |
1 |
(+ 1 (* -1 z)) |
x |
(+ x (* -1 (* x z))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
y |
(+ y (* -1 (* y z))) |
(* -1 z) |
(* z (+ (* -1 x) (* -1 y))) |
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z))))) |
(* z (- (/ 1 z) 1)) |
(* z (+ (* -1 x) (/ x z))) |
(* -1 (* z (+ x y))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* z (+ (* -1 y) (/ y z))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(* -1 (* z (+ y (* -1 (/ y z))))) |
| Outputs |
|---|
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(+ x y) |
(+.f64 x y) |
(+ x (+ y (* z (+ (* -1 x) (* -1 y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
x |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
y |
(+ y (* -1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* -1 z) |
(neg.f64 z) |
(* z (+ (* -1 x) (* -1 y))) |
(*.f64 (neg.f64 z) (+.f64 x y)) |
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(* z (- (/ 1 z) 1)) |
(-.f64 #s(literal 1 binary64) z) |
(* z (+ (* -1 x) (/ x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* z (+ x y))) |
(*.f64 (neg.f64 z) (+.f64 x y)) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(* z (+ (* -1 y) (/ y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* z (+ y (* -1 (/ y z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 135 |
| 0 | 35 | 132 |
| 1 | 94 | 132 |
| 2 | 555 | 132 |
| 0 | 8383 | 132 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(-.f64 #s(literal 1 binary64) z) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) |
#s(approx (- 1 z) #s(literal 1 binary64)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) |
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))) |
#s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x)) |
(*.f64 (neg.f64 z) x) |
(neg.f64 z) |
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z))) |
#s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 z z z))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)) (+.f64 (pow.f64 (fma.f64 z z z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 z z z) (-.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 #s(literal 1 binary64) z)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 #s(literal 1 binary64) z)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (+.f64 x y)) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) z)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) z)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (+.f64 x y)) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 z (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (+.f64 x y)) (fma.f64 (neg.f64 z) z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) x) (+.f64 x y) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) x) (-.f64 x y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) x) (-.f64 x y)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) x) (-.f64 x y)) (-.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) x) (-.f64 x y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (-.f64 y x)))) (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) (-.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) z)) (-.f64 y x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (+.f64 x y)) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (-.f64 y x)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (-.f64 y x)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(*.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (-.f64 y x)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) z)) (-.f64 y x)))) |
(*.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z #s(literal 1 binary64)) (-.f64 x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (+.f64 z #s(literal 1 binary64)) (-.f64 x y)))) |
(*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (+.f64 z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 x y))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 (+.f64 z #s(literal 1 binary64)) (-.f64 x y)))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (-.f64 x y) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (-.f64 y x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (+.f64 x y) (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (-.f64 x y) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 x y))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 (+.f64 z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) (pow.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) (/.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) z)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (-.f64 y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 #s(literal 1 binary64) z)) (-.f64 y x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (-.f64 y x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (fma.f64 x x (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (-.f64 y x))) (fma.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (fma.f64 x x (*.f64 y y))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 9 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) x) y) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) (+.f64 x y)) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (+.f64 x y)) (neg.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 #s(literal 1 binary64) z)) (-.f64 y x)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 #s(literal 1 binary64) z)) (neg.f64 (-.f64 x y))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) z)) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal 1 binary64)) (*.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (neg.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) (neg.f64 (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 z z))) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 x y) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))) |
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(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 y y) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))) |
(-.f64 #s(literal 0 binary64) y) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
(+.f64 (neg.f64 y) #s(literal 0 binary64)) |
Compiled 13 330 to 1 604 computations (88% saved)
10 alts after pruning (3 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 562 | 1 | 563 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 1 | 2 | 3 |
| Total | 563 | 10 | 573 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.0% | (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
| ✓ | 100.0% | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| ✓ | 49.7% | (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) |
| ▶ | 51.6% | #s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (+.f64 x y)) |
| ▶ | 53.4% | #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) y y)) |
| ▶ | 49.7% | #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) |
| ✓ | 27.7% | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
| ✓ | 26.0% | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
| ✓ | 27.9% | #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z))) |
| ✓ | 25.7% | #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))) |
Compiled 134 to 99 computations (26.1% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | #s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (+.f64 x y)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) y y) | |
| cost-diff | 0 | #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) y y)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) x x) | |
| cost-diff | 0 | #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 64 |
| 0 | 23 | 60 |
| 1 | 47 | 60 |
| 2 | 86 | 60 |
| 3 | 171 | 60 |
| 4 | 403 | 60 |
| 5 | 893 | 60 |
| 6 | 1638 | 60 |
| 7 | 1847 | 60 |
| 8 | 1847 | 60 |
| 0 | 1847 | 60 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) |
(fma.f64 (neg.f64 z) x x) |
(neg.f64 z) |
z |
x |
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) y y)) |
(fma.f64 (neg.f64 z) y y) |
(neg.f64 z) |
z |
y |
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (+.f64 x y)) |
(+.f64 x y) |
x |
y |
| Outputs |
|---|
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(fma.f64 (neg.f64 z) x x) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(neg.f64 z) |
z |
x |
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) y y)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(fma.f64 (neg.f64 z) y y) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(neg.f64 z) |
z |
y |
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (+.f64 x y)) |
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 x y) | |
| accuracy | 30.95169311264482 | #s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (+.f64 x y)) | |
| accuracy | 0.0 | (fma.f64 (neg.f64 z) y y) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 29.802961269405206 | #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) y y)) | |
| accuracy | 0.0 | (fma.f64 (neg.f64 z) x x) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 32.16687178051937 | #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) |
| 27.0ms | 256× | 0 | valid |
Compiled 116 to 34 computations (70.7% saved)
ival-mult: 10.0ms (58% of total)ival-add: 5.0ms (29% of total)ival-sub: 1.0ms (5.8% of total)ival-neg: 1.0ms (5.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) |
(fma.f64 (neg.f64 z) x x) |
(neg.f64 z) |
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) y y)) |
(fma.f64 (neg.f64 z) y y) |
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (+.f64 x y)) |
(+.f64 x y) |
| Outputs |
|---|
(* y (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(* x (+ 1 (* -1 z))) |
y |
(+ x y) |
(* x (- 1 z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
x |
(* x (+ 1 (/ y x))) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* -1 (* x (- z 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* y (+ 1 (* -1 z))) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (+ 1 (/ x y))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (- z 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(+ x (* -1 (* x z))) |
(* -1 z) |
(+ y (* -1 (* y z))) |
(+ x (+ y (* z (+ (* -1 x) (* -1 y))))) |
(* -1 (* z (+ x y))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ x z))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (/ y z))) |
(* z (+ (* -1 x) (* -1 y))) |
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z))))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(* -1 (* z (+ y (* -1 (/ y z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | ((* (+ x y) (- 1 z)) (+ (* (neg z) x) x) (neg z) (* (+ x y) (- 1 z)) (+ (* (neg z) y) y) (+ (* (- 1 z) y) (* (- 1 z) x)) (+ x y)) |
| 1.0ms | x | @ | -inf | ((* (+ x y) (- 1 z)) (+ (* (neg z) x) x) (neg z) (* (+ x y) (- 1 z)) (+ (* (neg z) y) y) (+ (* (- 1 z) y) (* (- 1 z) x)) (+ x y)) |
| 1.0ms | y | @ | -inf | ((* (+ x y) (- 1 z)) (+ (* (neg z) x) x) (neg z) (* (+ x y) (- 1 z)) (+ (* (neg z) y) y) (+ (* (- 1 z) y) (* (- 1 z) x)) (+ x y)) |
| 1.0ms | y | @ | inf | ((* (+ x y) (- 1 z)) (+ (* (neg z) x) x) (neg z) (* (+ x y) (- 1 z)) (+ (* (neg z) y) y) (+ (* (- 1 z) y) (* (- 1 z) x)) (+ x y)) |
| 1.0ms | x | @ | inf | ((* (+ x y) (- 1 z)) (+ (* (neg z) x) x) (neg z) (* (+ x y) (- 1 z)) (+ (* (neg z) y) y) (+ (* (- 1 z) y) (* (- 1 z) x)) (+ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 169 |
| 1 | 317 | 169 |
| 2 | 910 | 169 |
| 3 | 2775 | 169 |
| 4 | 6905 | 169 |
| 0 | 8224 | 169 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(* x (+ 1 (* -1 z))) |
y |
(+ x y) |
(* x (- 1 z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
x |
(* x (+ 1 (/ y x))) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* -1 (* x (- z 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* y (+ 1 (* -1 z))) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (+ 1 (/ x y))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (- z 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(+ x (* -1 (* x z))) |
(* -1 z) |
(+ y (* -1 (* y z))) |
(+ x (+ y (* z (+ (* -1 x) (* -1 y))))) |
(* -1 (* z (+ x y))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ x z))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (/ y z))) |
(* z (+ (* -1 x) (* -1 y))) |
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z))))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(* -1 (* z (+ y (* -1 (/ y z))))) |
| Outputs |
|---|
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (+ 1 (* -1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
y |
(+ x y) |
(+.f64 y x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* x (- z 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* y (+ 1 (* -1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* y (- z 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 z) |
(neg.f64 z) |
(+ y (* -1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+ x (+ y (* z (+ (* -1 x) (* -1 y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* z (+ x y))) |
(*.f64 (neg.f64 z) (+.f64 y x)) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* z (+ (* -1 x) (/ x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* z (+ (* -1 y) (/ y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* z (+ (* -1 x) (* -1 y))) |
(*.f64 (neg.f64 z) (+.f64 y x)) |
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* z (+ y (* -1 (/ y z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 56 |
| 0 | 23 | 52 |
| 1 | 104 | 52 |
| 2 | 801 | 52 |
| 0 | 8825 | 52 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) |
(fma.f64 (neg.f64 z) x x) |
(neg.f64 z) |
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) y y)) |
(fma.f64 (neg.f64 z) y y) |
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (+.f64 x y)) |
(+.f64 x y) |
| Outputs |
|---|
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) x) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 z z) x))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z x)))) |
(*.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 z z) x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 z x x))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 (*.f64 z z) x (+.f64 x (*.f64 z x))))))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 z z) x (neg.f64 x))) (pow.f64 (neg.f64 (fma.f64 z x x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 x x) (fma.f64 z z z))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (pow.f64 (*.f64 x (fma.f64 (*.f64 z z) x (+.f64 x (*.f64 z x)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(*.f64 x (-.f64 #s(literal 1 binary64) z)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x)))) (*.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))))) (+.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (fma.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))) (*.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x)) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) x)) (neg.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 z z) x)))) (neg.f64 (+.f64 x (*.f64 z x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 z z) x (neg.f64 x))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 z x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 z z) x (+.f64 x (*.f64 z x))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (*.f64 (neg.f64 (fma.f64 z x x)) (*.f64 x x))) (*.f64 (neg.f64 (fma.f64 z x x)) (neg.f64 (fma.f64 z x x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) (+.f64 z #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) x) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 z #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 z z) x))) (+.f64 x (*.f64 z x))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 z z) x (neg.f64 x)))) (neg.f64 (neg.f64 (fma.f64 z x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x x) (fma.f64 z z z))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (neg.f64 (*.f64 x (fma.f64 (*.f64 z z) x (+.f64 x (*.f64 z x)))))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 z z) x (neg.f64 x))) (neg.f64 (fma.f64 z x x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 x x) (fma.f64 z z z)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (*.f64 x (fma.f64 (*.f64 z z) x (+.f64 x (*.f64 z x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) x))) |
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(fma.f64 x #s(literal 1 binary64) y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(+.f64 y x) |
(+.f64 x y) |
Compiled 5 201 to 726 computations (86% saved)
10 alts after pruning (0 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 227 | 0 | 227 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 7 | 7 |
| Total | 227 | 10 | 237 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.0% | (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
| ✓ | 100.0% | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| ✓ | 49.7% | (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) |
| ✓ | 51.6% | #s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (+.f64 x y)) |
| ✓ | 53.4% | #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) y y)) |
| ✓ | 49.7% | #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) |
| ✓ | 27.7% | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
| ✓ | 26.0% | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
| ✓ | 27.9% | #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z))) |
| ✓ | 25.7% | #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))) |
Compiled 312 to 141 computations (54.8% saved)
| Inputs |
|---|
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (+.f64 x y)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))) |
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z))) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) |
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) |
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) y y)) |
(*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64))) |
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) |
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
| Outputs |
|---|
(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) |
6 calls:
| 7.0ms | y |
| 7.0ms | (+.f64 x y) |
| 4.0ms | x |
| 4.0ms | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| 4.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| 100.0% | 1 | (+.f64 x y) |
| 100.0% | 1 | (-.f64 #s(literal 1 binary64) z) |
Compiled 16 to 25 computations (-56.3% saved)
| Inputs |
|---|
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (+.f64 x y)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))) |
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z))) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) |
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) |
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) y y)) |
(*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64))) |
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) |
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| Outputs |
|---|
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
6 calls:
| 26.0ms | y |
| 4.0ms | (+.f64 x y) |
| 4.0ms | x |
| 4.0ms | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| 4.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| 100.0% | 1 | (+.f64 x y) |
| 100.0% | 1 | (-.f64 #s(literal 1 binary64) z) |
Compiled 16 to 25 computations (-56.3% saved)
| Inputs |
|---|
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (+.f64 x y)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))) |
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z))) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) |
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) |
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) y y)) |
(*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64))) |
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) |
| Outputs |
|---|
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) |
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) y y)) |
6 calls:
| 26.0ms | x |
| 4.0ms | y |
| 4.0ms | (+.f64 x y) |
| 3.0ms | z |
| 3.0ms | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.2% | 2 | x |
| 87.3% | 2 | y |
| 97.5% | 3 | z |
| 84.1% | 4 | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| 98.6% | 2 | (+.f64 x y) |
| 97.5% | 3 | (-.f64 #s(literal 1 binary64) z) |
Compiled 16 to 25 computations (-56.3% saved)
| Inputs |
|---|
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (+.f64 x y)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))) |
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z))) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) |
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) |
| Outputs |
|---|
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) |
1 calls:
| 3.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 2 | (+.f64 x y) |
Compiled 3 to 4 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (+.f64 x y)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))) |
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z))) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) |
| Outputs |
|---|
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) |
1 calls:
| 3.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 2 | (+.f64 x y) |
Compiled 3 to 4 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (+.f64 x y)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))) |
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z))) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
| Outputs |
|---|
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (+.f64 x y)) |
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z))) |
6 calls:
| 38.0ms | y |
| 2.0ms | (+.f64 x y) |
| 2.0ms | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.5% | 3 | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| 68.1% | 3 | x |
| 72.9% | 5 | y |
| 76.8% | 3 | z |
| 76.8% | 3 | (-.f64 #s(literal 1 binary64) z) |
| 78.0% | 4 | (+.f64 x y) |
Compiled 16 to 25 computations (-56.3% saved)
| Inputs |
|---|
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (+.f64 x y)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))) |
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z))) |
| Outputs |
|---|
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))) |
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z))) |
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (+.f64 x y)) |
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z))) |
2 calls:
| 2.0ms | z |
| 2.0ms | (-.f64 #s(literal 1 binary64) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.3% | 4 | z |
| 78.3% | 4 | (-.f64 #s(literal 1 binary64) z) |
Compiled 4 to 8 computations (-100% saved)
| Inputs |
|---|
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (+.f64 x y)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))) |
| Outputs |
|---|
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))) |
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (+.f64 x y)) |
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))) |
3 calls:
| 2.0ms | (+.f64 x y) |
| 2.0ms | z |
| 2.0ms | (-.f64 #s(literal 1 binary64) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.3% | 3 | (+.f64 x y) |
| 73.9% | 3 | z |
| 73.9% | 3 | (-.f64 #s(literal 1 binary64) z) |
Compiled 7 to 12 computations (-71.4% saved)
Total -31.5b remaining (-101.7%)
Threshold costs -31.5b (-101.7%)
| Inputs |
|---|
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (+.f64 x y)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
| Outputs |
|---|
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (+.f64 x y)) |
6 calls:
| 2.0ms | x |
| 2.0ms | (+.f64 x y) |
| 2.0ms | z |
| 2.0ms | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.6% | 1 | (+.f64 x y) |
| 51.6% | 1 | x |
| 51.6% | 1 | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| 51.6% | 1 | y |
| 51.6% | 1 | z |
| 51.6% | 1 | (-.f64 #s(literal 1 binary64) z) |
Compiled 16 to 25 computations (-56.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.6335901426943912e-293 | 8.362166592765754e-198 |
Compiled 10 to 13 computations (-30% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.6335901426943912e-293 | 8.362166592765754e-198 |
Compiled 10 to 13 computations (-30% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.6335901426943912e-293 | 8.362166592765754e-198 |
Compiled 10 to 13 computations (-30% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0406235689729464 | 510.0431405803173 |
| 0.0ms | 0.9976610115145286 | 0.9993676380815073 |
Compiled 10 to 13 computations (-30% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0406235689729464 | 510.0431405803173 |
| 0.0ms | -15153.672665756525 | 0.8734418320112196 |
| 0.0ms | -4.476766543215721e+61 | -1.5493636524452552e+60 |
Compiled 10 to 13 computations (-30% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 510.0431405803173 | 9845659927.323933 |
| 0.0ms | -15153.672665756525 | 0.8734418320112196 |
Compiled 10 to 13 computations (-30% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 285 |
| 1 | 81 | 285 |
| 2 | 115 | 285 |
| 3 | 183 | 285 |
| 4 | 374 | 285 |
| 5 | 619 | 285 |
| 6 | 1208 | 285 |
| 7 | 2619 | 285 |
| 8 | 3523 | 285 |
| 9 | 5058 | 285 |
| 10 | 7783 | 285 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) |
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
(if (<=.f64 (+.f64 x y) #s(literal -449423283715579/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) y y))) |
(if (<=.f64 (+.f64 x y) #s(literal -449423283715579/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(if (<=.f64 (+.f64 x y) #s(literal -449423283715579/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4494592428115755/4503599627370496 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (+.f64 x y)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z))))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -39999999999999997975485411882960754678545800440536402923356160 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -10000 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z))) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (+.f64 x y)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z)))))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -10000 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1000 binary64)) #s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (+.f64 x y)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))))) |
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (+.f64 x y)) |
| Outputs |
|---|
(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) |
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
(if (<=.f64 (+.f64 x y) #s(literal -449423283715579/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) y y))) |
(if (<=.f64 (+.f64 x y) #s(literal -449423283715579/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(if (<=.f64 (+.f64 x y) #s(literal -449423283715579/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4494592428115755/4503599627370496 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (+.f64 x y)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z))))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4494592428115755/4503599627370496 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 x y)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z))))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -39999999999999997975485411882960754678545800440536402923356160 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -10000 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z))) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (+.f64 x y)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z)))))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -39999999999999997975485411882960754678545800440536402923356160 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))) (if (or (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -10000 binary64)) (not (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 y) z))) #s(approx (* (+ x y) (- 1 z)) (+.f64 x y)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -10000 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1000 binary64)) #s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (+.f64 x y)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))))) |
(if (or (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -10000 binary64)) (not (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1000 binary64)))) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))) #s(approx (* (+ x y) (- 1 z)) (+.f64 x y))) |
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (+.f64 x y)) |
#s(approx (* (+ x y) (- 1 z)) (+.f64 x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 101 |
| 1 | 213 | 101 |
| 2 | 695 | 101 |
| 3 | 2379 | 101 |
| 4 | 5808 | 101 |
| 0 | 8067 | 101 |
| 0 | 78 | 149 |
| 1 | 259 | 149 |
| 2 | 776 | 149 |
| 3 | 2190 | 149 |
| 4 | 7034 | 149 |
| 0 | 8105 | 149 |
| 0 | 20 | 86 |
| 0 | 31 | 86 |
| 1 | 98 | 84 |
| 2 | 865 | 84 |
| 0 | 8322 | 84 |
| 0 | 7 | 13 |
| 0 | 10 | 13 |
| 1 | 41 | 13 |
| 2 | 307 | 13 |
| 3 | 4064 | 13 |
| 0 | 9653 | 13 |
| 0 | 120 | 277 |
| 1 | 408 | 201 |
| 2 | 1233 | 201 |
| 3 | 3825 | 201 |
| 4 | 7253 | 201 |
| 0 | 8020 | 201 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 416 to 194 computations (53.4% saved)
(sort x y)
Compiled 638 to 162 computations (74.6% saved)
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