
Time bar (total: 8.1s)
| 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 11 to 10 computations (9.1% saved)
| 663.0ms | 8 256× | 0 | valid |
ival-sub: 164.0ms (50.3% of total)ival-mult: 148.0ms (45.4% of total)ival-true: 6.0ms (1.8% of total)exact: 5.0ms (1.5% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 12 | 0 | - | 0 | - | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) y) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) | n*o | 12 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 12 | 0 |
| - | 0 | 244 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 12 | 0 | 0 |
| - | 0 | 0 | 244 |
| number | freq |
|---|---|
| 0 | 244 |
| 1 | 12 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 46.0ms | 512× | 0 | valid |
Compiled 69 to 28 computations (59.4% saved)
ival-sub: 6.0ms (46.7% of total)ival-mult: 6.0ms (46.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 90 |
| 1 | 105 | 82 |
| 2 | 331 | 81 |
| 3 | 1265 | 81 |
| 4 | 3082 | 81 |
| 5 | 4395 | 81 |
| 6 | 4818 | 81 |
| 7 | 5011 | 81 |
| 8 | 5100 | 81 |
| 9 | 5132 | 81 |
| 10 | 5185 | 81 |
| 11 | 5185 | 81 |
| 12 | 5185 | 81 |
| 13 | 5289 | 81 |
| 14 | 5317 | 81 |
| 0 | 8 | 9 |
| 0 | 12 | 9 |
| 1 | 23 | 9 |
| 2 | 56 | 9 |
| 3 | 158 | 9 |
| 4 | 499 | 9 |
| 5 | 1057 | 9 |
| 6 | 1477 | 9 |
| 7 | 1840 | 9 |
| 8 | 1871 | 9 |
| 9 | 1871 | 9 |
| 0 | 1871 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(negabs x)
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 95.5% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) | |
| cost-diff | 0 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) | |
| cost-diff | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 0 | 12 | 28 |
| 1 | 23 | 28 |
| 2 | 56 | 28 |
| 3 | 158 | 28 |
| 4 | 499 | 28 |
| 5 | 1057 | 28 |
| 6 | 1477 | 28 |
| 7 | 1840 | 28 |
| 8 | 1871 | 28 |
| 9 | 1871 | 28 |
| 0 | 1871 | 26 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
#s(literal 1 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 #s(literal 1 binary64) y) |
y |
z |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(*.f64 z (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
y |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) | |
| accuracy | 2.8712119507235343 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 13.0ms | 256× | 0 | valid |
Compiled 30 to 10 computations (66.7% saved)
ival-sub: 3.0ms (48.7% of total)ival-mult: 3.0ms (48.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(* x (- 1 (* z (- 1 y)))) |
(- 1 z) |
(- (+ 1 (* y z)) z) |
(* x (- 1 z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
z |
(+ z (* -1 (* y z))) |
1 |
(+ 1 (* -1 y)) |
(* y z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* x (* y z)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (/ z y))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(+ 1 (* z (- y 1))) |
x |
(+ x (* x (* z (- y 1)))) |
(* z (- 1 y)) |
(* z (- y 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* -1 (* z (- 1 y))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | ((- 1 (* (- 1 y) z)) (* x (- 1 (* (- 1 y) z))) (* (- 1 y) z) (- 1 y)) |
| 1.0ms | z | @ | inf | ((- 1 (* (- 1 y) z)) (* x (- 1 (* (- 1 y) z))) (* (- 1 y) z) (- 1 y)) |
| 1.0ms | y | @ | 0 | ((- 1 (* (- 1 y) z)) (* x (- 1 (* (- 1 y) z))) (* (- 1 y) z) (- 1 y)) |
| 1.0ms | x | @ | 0 | ((- 1 (* (- 1 y) z)) (* x (- 1 (* (- 1 y) z))) (* (- 1 y) z) (- 1 y)) |
| 1.0ms | z | @ | -inf | ((- 1 (* (- 1 y) z)) (* x (- 1 (* (- 1 y) z))) (* (- 1 y) z) (- 1 y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 183 |
| 1 | 234 | 183 |
| 2 | 641 | 183 |
| 3 | 1500 | 183 |
| 4 | 4434 | 183 |
| 5 | 6734 | 183 |
| 6 | 7935 | 183 |
| 0 | 8204 | 170 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (- 1 (* z (- 1 y)))) |
(- 1 z) |
(- (+ 1 (* y z)) z) |
(* x (- 1 z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
z |
(+ z (* -1 (* y z))) |
1 |
(+ 1 (* -1 y)) |
(* y z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* x (* y z)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (/ z y))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(+ 1 (* z (- y 1))) |
x |
(+ x (* x (* z (- y 1)))) |
(* z (- 1 y)) |
(* z (- y 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* -1 (* z (- 1 y))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
| Outputs |
|---|
(* x (- 1 (* z (- 1 y)))) |
(*.f64 (fma.f64 z y (-.f64 #s(literal 1 binary64) z)) x) |
(- 1 z) |
(-.f64 #s(literal 1 binary64) z) |
(- (+ 1 (* y z)) z) |
(fma.f64 z y (-.f64 #s(literal 1 binary64) z)) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ (* x (* y z)) (* x (- 1 z))) |
(*.f64 (fma.f64 z y (-.f64 #s(literal 1 binary64) z)) x) |
z |
(+ z (* -1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* y z) |
(*.f64 z y) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(fma.f64 z y (-.f64 #s(literal 1 binary64) z)) |
(* x (* y z)) |
(*.f64 (*.f64 x z) y) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(*.f64 (fma.f64 z y (-.f64 #s(literal 1 binary64) z)) x) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* y (+ (* -1 z) (/ z y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(fma.f64 z y (-.f64 #s(literal 1 binary64) z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (fma.f64 z y (-.f64 #s(literal 1 binary64) z)) x) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* z (- y 1))) |
(fma.f64 z y (-.f64 #s(literal 1 binary64) z)) |
x |
(+ x (* x (* z (- y 1)))) |
(*.f64 (fma.f64 z y (-.f64 #s(literal 1 binary64) z)) x) |
(* z (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(* z (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) z) |
(* z (- (+ y (/ 1 z)) 1)) |
(fma.f64 z y (-.f64 #s(literal 1 binary64) z)) |
(* x (* z (- y 1))) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x) |
(* z (+ (* x (- y 1)) (/ x z))) |
(*.f64 (fma.f64 z y (-.f64 #s(literal 1 binary64) z)) x) |
(* -1 (* z (- 1 y))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) z) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(fma.f64 z y (-.f64 #s(literal 1 binary64) z)) |
(* -1 (* x (* z (- 1 y)))) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(*.f64 (fma.f64 z y (-.f64 #s(literal 1 binary64) z)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 46 | 24 |
| 2 | 332 | 24 |
| 3 | 3557 | 24 |
| 0 | 9466 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 3 binary64)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
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(fma.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (/.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (pow.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64)) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 y #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (neg.f64 y)) |
(-.f64 #s(literal 1 binary64) y) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(+.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(+.f64 (neg.f64 y) #s(literal 1 binary64)) |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 y)) |
(+.f64 #s(literal 1 binary64) y) |
Compiled 10 955 to 1 750 computations (84% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 450 | 8 | 458 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 451 | 8 | 459 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 95.5% | (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) |
| ▶ | 96.6% | (fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z x) |
| 55.6% | (*.f64 x (fma.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) | |
| ▶ | 80.9% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) z))) |
| ▶ | 64.4% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
| 58.6% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) | |
| ▶ | 36.4% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
| 40.1% | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) |
Compiled 204 to 160 computations (21.6% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (-.f64 (neg.f64 y) #s(literal 1 binary64)) | |
| cost-diff | 1 | (-.f64 (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) z)) | |
| cost-diff | 5 | (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 y #s(literal 1 binary64)) z) | |
| cost-diff | 0 | (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) | |
| cost-diff | 0 | (-.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x (-.f64 y #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 170 |
| 0 | 45 | 162 |
| 1 | 90 | 162 |
| 2 | 180 | 158 |
| 3 | 499 | 140 |
| 4 | 2415 | 140 |
| 5 | 5937 | 140 |
| 0 | 8110 | 134 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z x) |
(*.f64 x (-.f64 y #s(literal 1 binary64))) |
x |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
z |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
x |
#s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
x |
#s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) |
(*.f64 (-.f64 y #s(literal 1 binary64)) z) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
z |
x |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) z))) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) z)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) z) |
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) |
(-.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
(-.f64 (neg.f64 y) #s(literal 1 binary64)) |
(neg.f64 y) |
z |
| Outputs |
|---|
(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z x) |
(fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) x x) |
(*.f64 x (-.f64 y #s(literal 1 binary64))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
x |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
z |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) x) |
x |
#s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
(*.f64 #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) x) |
x |
#s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) |
(fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) x x) |
(*.f64 (-.f64 y #s(literal 1 binary64)) z) |
(*.f64 z (-.f64 y #s(literal 1 binary64))) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
z |
x |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) z))) |
(fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) x x) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) z)) |
(fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 y y #s(literal -1 binary64)) |
(*.f64 y y) |
y |
(-.f64 (neg.f64 y) #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) y) |
(neg.f64 y) |
z |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 2.8712119507235343 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) z))) | |
| accuracy | 16.342711390978884 | (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (-.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 (-.f64 y #s(literal 1 binary64)) z) | |
| accuracy | 2.8673057007235343 | (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 2.8712119507235343 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) | |
| accuracy | 38.10678859148122 | #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) z) | |
| accuracy | 2.8712119507235343 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) | |
| accuracy | 24.406924958199248 | #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0.0 | (-.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (*.f64 x (-.f64 y #s(literal 1 binary64))) | |
| accuracy | 2.189785795028231 | (fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z x) |
| 61.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 158 to 27 computations (82.9% saved)
ival-mult: 28.0ms (61.1% of total)ival-sub: 8.0ms (17.5% of total)ival-add: 6.0ms (13.1% of total)ival-div: 2.0ms (4.4% of total)ival-neg: 1.0ms (2.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z x) |
(*.f64 x (-.f64 y #s(literal 1 binary64))) |
(-.f64 y #s(literal 1 binary64)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
#s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
#s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) |
(*.f64 z y) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) |
(*.f64 (-.f64 y #s(literal 1 binary64)) z) |
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) z)) |
(-.f64 (*.f64 y y) #s(literal 1 binary64)) |
(-.f64 (neg.f64 y) #s(literal 1 binary64)) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) z))) |
(neg.f64 y) |
(*.f64 y y) |
| Outputs |
|---|
(* x (+ 1 (* z (- y 1)))) |
(* x (- y 1)) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* -1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(* -1 x) |
(+ (* -1 x) (* x y)) |
-1 |
(- y 1) |
(* x (- 1 z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(- 1 z) |
(- (+ 1 (* y z)) z) |
(* y z) |
(* -1 z) |
(+ (* -1 z) (* y z)) |
1 |
(+ 1 (* -1 y)) |
(- (pow y 2) 1) |
(- (* -1 y) 1) |
(* -1 y) |
(pow y 2) |
(* x (* y z)) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* x y) |
(* y (+ x (* -1 (/ x y)))) |
y |
(* y (- 1 (/ 1 y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (+ z (* -1 (/ z y)))) |
(* y (- (/ 1 y) 1)) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- (* -1 (/ (+ 1 (* -1 z)) y)) z))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y))))) |
x |
(+ x (* x (* z (- y 1)))) |
(+ 1 (* z (- y 1))) |
(+ 1 (* -1 z)) |
(* z (- y 1)) |
(+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))) |
(+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (- (+ y (/ 1 z)) 1)) |
(* z (- (/ 1 z) 1)) |
(/ (* z (- (pow y 2) 1)) (+ 1 y)) |
(* z (- (/ 1 z) (* -1 (/ (- (pow y 2) 1) (+ 1 y))))) |
(/ (* x (* z (- (pow y 2) 1))) (+ 1 y)) |
(* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y)))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (- 1 y))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- (/ 1 (+ 1 y)) (/ (pow y 2) (+ 1 y))))) |
(* -1 (* z (- (/ 1 (+ 1 y)) (+ (/ 1 z) (/ (pow y 2) (+ 1 y)))))) |
(* -1 (* x (* z (- (/ 1 (+ 1 y)) (/ (pow y 2) (+ 1 y)))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- (/ 1 (+ 1 y)) (/ (pow y 2) (+ 1 y))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | x | @ | -inf | ((+ (* (* x (- y 1)) z) x) (* x (- y 1)) (- y 1) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (- 1 z) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* z y) (+ (* (* (- y 1) z) x) x) (* (- y 1) z) (/ (- (* y y) 1) (- (neg y) 1)) (- 1 (* (/ (- (* y y) 1) (- (neg y) 1)) z)) (- (* y y) 1) (- (neg y) 1) (* x (- 1 (* (/ (- (* y y) 1) (- (neg y) 1)) z))) (neg y) (* y y)) |
| 5.0ms | z | @ | -inf | ((+ (* (* x (- y 1)) z) x) (* x (- y 1)) (- y 1) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (- 1 z) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* z y) (+ (* (* (- y 1) z) x) x) (* (- y 1) z) (/ (- (* y y) 1) (- (neg y) 1)) (- 1 (* (/ (- (* y y) 1) (- (neg y) 1)) z)) (- (* y y) 1) (- (neg y) 1) (* x (- 1 (* (/ (- (* y y) 1) (- (neg y) 1)) z))) (neg y) (* y y)) |
| 4.0ms | x | @ | 0 | ((+ (* (* x (- y 1)) z) x) (* x (- y 1)) (- y 1) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (- 1 z) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* z y) (+ (* (* (- y 1) z) x) x) (* (- y 1) z) (/ (- (* y y) 1) (- (neg y) 1)) (- 1 (* (/ (- (* y y) 1) (- (neg y) 1)) z)) (- (* y y) 1) (- (neg y) 1) (* x (- 1 (* (/ (- (* y y) 1) (- (neg y) 1)) z))) (neg y) (* y y)) |
| 4.0ms | z | @ | 0 | ((+ (* (* x (- y 1)) z) x) (* x (- y 1)) (- y 1) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (- 1 z) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* z y) (+ (* (* (- y 1) z) x) x) (* (- y 1) z) (/ (- (* y y) 1) (- (neg y) 1)) (- 1 (* (/ (- (* y y) 1) (- (neg y) 1)) z)) (- (* y y) 1) (- (neg y) 1) (* x (- 1 (* (/ (- (* y y) 1) (- (neg y) 1)) z))) (neg y) (* y y)) |
| 3.0ms | y | @ | -inf | ((+ (* (* x (- y 1)) z) x) (* x (- y 1)) (- y 1) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (- 1 z) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* z y) (+ (* (* (- y 1) z) x) x) (* (- y 1) z) (/ (- (* y y) 1) (- (neg y) 1)) (- 1 (* (/ (- (* y y) 1) (- (neg y) 1)) z)) (- (* y y) 1) (- (neg y) 1) (* x (- 1 (* (/ (- (* y y) 1) (- (neg y) 1)) z))) (neg y) (* y y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 166 | 469 |
| 1 | 534 | 463 |
| 2 | 1467 | 461 |
| 3 | 4167 | 439 |
| 4 | 7008 | 439 |
| 0 | 8083 | 409 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (* z (- y 1)))) |
(* x (- y 1)) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 (* -1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(* -1 x) |
(+ (* -1 x) (* x y)) |
-1 |
(- y 1) |
(* x (- 1 z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(- 1 z) |
(- (+ 1 (* y z)) z) |
(* y z) |
(* -1 z) |
(+ (* -1 z) (* y z)) |
1 |
(+ 1 (* -1 y)) |
(- (pow y 2) 1) |
(- (* -1 y) 1) |
(* -1 y) |
(pow y 2) |
(* x (* y z)) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* x y) |
(* y (+ x (* -1 (/ x y)))) |
y |
(* y (- 1 (/ 1 y))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (+ z (* -1 (/ z y)))) |
(* y (- (/ 1 y) 1)) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- (* -1 (/ (+ 1 (* -1 z)) y)) z))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y))))) |
x |
(+ x (* x (* z (- y 1)))) |
(+ 1 (* z (- y 1))) |
(+ 1 (* -1 z)) |
(* z (- y 1)) |
(+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))) |
(+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (- (+ y (/ 1 z)) 1)) |
(* z (- (/ 1 z) 1)) |
(/ (* z (- (pow y 2) 1)) (+ 1 y)) |
(* z (- (/ 1 z) (* -1 (/ (- (pow y 2) 1) (+ 1 y))))) |
(/ (* x (* z (- (pow y 2) 1))) (+ 1 y)) |
(* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y)))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (- 1 y))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- (/ 1 (+ 1 y)) (/ (pow y 2) (+ 1 y))))) |
(* -1 (* z (- (/ 1 (+ 1 y)) (+ (/ 1 z) (/ (pow y 2) (+ 1 y)))))) |
(* -1 (* x (* z (- (/ 1 (+ 1 y)) (/ (pow y 2) (+ 1 y)))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- (/ 1 (+ 1 y)) (/ (pow y 2) (+ 1 y))))))) |
| Outputs |
|---|
(* x (+ 1 (* z (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- 1 (* z (- 1 y)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* x (- 1 (* -1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) z #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* x y)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ (* x (* y z)) (* x (- 1 z))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(- 1 z) |
(-.f64 #s(literal 1 binary64) z) |
(- (+ 1 (* y z)) z) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* y z)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(- (pow y 2) 1) |
(fma.f64 y y #s(literal -1 binary64)) |
(- (* -1 y) 1) |
(-.f64 #s(literal -1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(pow y 2) |
(*.f64 y y) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (/ x y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
y |
(* y (- 1 (/ 1 y))) |
(-.f64 y #s(literal 1 binary64)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(* y (+ z (* -1 (/ z y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) z) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal -1 binary64)) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) y) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* y (- (/ 1 y) 1))) |
(-.f64 y #s(literal 1 binary64)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) z) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- (* -1 (/ (+ 1 (* -1 z)) y)) z))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y))))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
x |
(+ x (* x (* z (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(+ 1 (* z (- y 1))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(* z (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) z) |
(+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) z #s(literal 1 binary64)) |
(+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) z #s(literal 1 binary64)) x) |
(* x (* z (- y 1))) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z) |
(* z (+ (* x (- y 1)) (/ x z))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* z (- (+ y (/ 1 z)) 1)) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(* z (- (/ 1 z) 1)) |
(-.f64 #s(literal 1 binary64) z) |
(/ (* z (- (pow y 2) 1)) (+ 1 y)) |
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) z) |
(* z (- (/ 1 z) (* -1 (/ (- (pow y 2) 1) (+ 1 y))))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) z #s(literal 1 binary64)) |
(/ (* x (* z (- (pow y 2) 1))) (+ 1 y)) |
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 z x)) |
(* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) z #s(literal 1 binary64)) x) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* -1 (* x (* z (- 1 y)))) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* -1 (* z (- 1 y))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) z) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* z (- (/ 1 (+ 1 y)) (/ (pow y 2) (+ 1 y))))) |
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) z) |
(* -1 (* z (- (/ 1 (+ 1 y)) (+ (/ 1 z) (/ (pow y 2) (+ 1 y)))))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) z #s(literal 1 binary64)) |
(* -1 (* x (* z (- (/ 1 (+ 1 y)) (/ (pow y 2) (+ 1 y)))))) |
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 z x)) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- (/ 1 (+ 1 y)) (/ (pow y 2) (+ 1 y))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) z #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 137 |
| 0 | 45 | 128 |
| 1 | 191 | 114 |
| 2 | 1433 | 114 |
| 0 | 9722 | 108 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z x) |
(*.f64 x (-.f64 y #s(literal 1 binary64))) |
(-.f64 y #s(literal 1 binary64)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
#s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
#s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) |
(*.f64 z y) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) |
(*.f64 (-.f64 y #s(literal 1 binary64)) z) |
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) z)) |
(-.f64 (*.f64 y y) #s(literal 1 binary64)) |
(-.f64 (neg.f64 y) #s(literal 1 binary64)) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) z))) |
(neg.f64 y) |
(*.f64 y y) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z (neg.f64 y) z) #s(literal 2 binary64))) x) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z (neg.f64 y) z) #s(literal 3 binary64))) x) (pow.f64 (fma.f64 (fma.f64 z (neg.f64 y) z) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z (neg.f64 y) z) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 x (*.f64 x (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 z (neg.f64 y) z) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 x x (*.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 z x) (-.f64 #s(literal -1 binary64) y))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z x) (-.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z x) (-.f64 #s(literal -1 binary64) y) (neg.f64 x))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z x) (-.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z x) (-.f64 #s(literal -1 binary64) y))) (pow.f64 (*.f64 (*.f64 z x) (-.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z x) (-.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (*.f64 z x) (-.f64 #s(literal -1 binary64) y) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z x) (-.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 z x) (-.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) z) (*.f64 x x)))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z x) (-.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z x) (-.f64 #s(literal -1 binary64) y))) (pow.f64 (*.f64 (*.f64 z x) (-.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64)) x)) |
(*.f64 x (fma.f64 (-.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64)) x)) #s(literal -1 binary64)) |
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(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (neg.f64 y)) |
(-.f64 #s(literal 0 binary64) y) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) y) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(fma.f64 (neg.f64 y) #s(literal 0 binary64) (*.f64 y y)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (*.f64 (neg.f64 y) #s(literal 0 binary64)) (*.f64 y y)) |
Compiled 37 004 to 5 076 computations (86.3% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 406 | 4 | 1 410 |
| Fresh | 1 | 2 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 409 | 9 | 1 418 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.6% | (fma.f64 (fma.f64 y x (neg.f64 x)) z x) |
| ▶ | 80.8% | (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) z x) |
| ✓ | 95.5% | (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) |
| ▶ | 73.6% | (fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x) |
| 73.1% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z (neg.f64 y) z) #s(literal 2 binary64))) x))) | |
| ✓ | 64.4% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
| ▶ | 58.6% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) |
| ✓ | 36.4% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
| ▶ | 40.1% | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) |
Compiled 202 to 152 computations (24.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) | |
| cost-diff | 0 | (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) | |
| cost-diff | 0 | (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) z x) | |
| cost-diff | 6 | (/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 0 | (-.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 y #s(literal 1 binary64)) z) | |
| cost-diff | 0 | #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (* x (- y 1)) (*.f64 y x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x) | |
| cost-diff | 0 | (*.f64 x z) | |
| cost-diff | 0 | (*.f64 (*.f64 x z) y) | |
| cost-diff | 0 | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (fma.f64 y x (neg.f64 x)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 y x (neg.f64 x)) z x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 160 |
| 0 | 50 | 148 |
| 1 | 95 | 148 |
| 2 | 220 | 147 |
| 3 | 704 | 147 |
| 4 | 3473 | 147 |
| 5 | 7717 | 147 |
| 0 | 8121 | 145 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 y x (neg.f64 x)) z x) |
(fma.f64 y x (neg.f64 x)) |
y |
x |
(neg.f64 x) |
z |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) |
(*.f64 (*.f64 x z) y) |
(*.f64 x z) |
x |
z |
y |
(fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x) |
#s(approx (* x (- y 1)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
z |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) |
x |
#s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) z) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
z |
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) z x) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) |
(neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) x) |
(fma.f64 y y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
x |
(-.f64 #s(literal -1 binary64) y) |
z |
| Outputs |
|---|
(fma.f64 (fma.f64 y x (neg.f64 x)) z x) |
(fma.f64 z (fma.f64 x y (neg.f64 x)) x) |
(fma.f64 y x (neg.f64 x)) |
(fma.f64 x y (neg.f64 x)) |
y |
x |
(neg.f64 x) |
z |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z y) x)) |
(*.f64 (*.f64 x z) y) |
(*.f64 (*.f64 z y) x) |
(*.f64 x z) |
(*.f64 z x) |
x |
z |
y |
(fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x) |
(fma.f64 #s(approx (* x (- y 1)) (*.f64 x y)) z x) |
#s(approx (* x (- y 1)) (*.f64 y x)) |
#s(approx (* x (- y 1)) (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
z |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) |
(*.f64 #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
x |
#s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) z) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
z |
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) z x) |
(fma.f64 z (fma.f64 x y (neg.f64 x)) x) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) |
(fma.f64 x y (neg.f64 x)) |
(neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) x) |
(fma.f64 y y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
x |
(-.f64 #s(literal -1 binary64) y) |
z |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) | |
| accuracy | 2.189785795028231 | (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) z x) | |
| accuracy | 3.855675532395866 | (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) | |
| accuracy | 9.239686439047935 | (/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) | |
| accuracy | 0.0 | (-.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 (-.f64 y #s(literal 1 binary64)) z) | |
| accuracy | 2.8712119507235343 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) | |
| accuracy | 23.834418114707212 | #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 2.189785795028231 | (fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x) | |
| accuracy | 28.18104336184675 | #s(approx (* x (- y 1)) (*.f64 y x)) | |
| accuracy | 0.0 | (*.f64 x z) | |
| accuracy | 6.619143995501819 | (*.f64 (*.f64 x z) y) | |
| accuracy | 37.82276686617991 | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) | |
| accuracy | 0.0 | (fma.f64 y x (neg.f64 x)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 2.189785795028231 | (fma.f64 (fma.f64 y x (neg.f64 x)) z x) |
| 53.0ms | 256× | 0 | valid |
Compiled 146 to 31 computations (78.8% saved)
ival-mult: 19.0ms (56.7% of total)ival-add: 6.0ms (17.9% of total)ival-sub: 4.0ms (11.9% of total)ival-div: 2.0ms (6% of total)ival-neg: 2.0ms (6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (fma.f64 y x (neg.f64 x)) z x) |
(fma.f64 y x (neg.f64 x)) |
(neg.f64 x) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) |
(*.f64 (*.f64 x z) y) |
(*.f64 x z) |
(fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x) |
#s(approx (* x (- y 1)) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) |
#s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) z) |
(-.f64 y #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) |
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) z x) |
(neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) x) |
| Outputs |
|---|
(* x (+ 1 (* z (- y 1)))) |
(* x (- y 1)) |
(* -1 x) |
(* x (- 1 (* z (- 1 y)))) |
(* x (* y z)) |
(* x z) |
(* x y) |
(/ (* x (- (pow y 2) 1)) (+ 1 y)) |
(* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y)))) |
(* x (- 1 (pow y 2))) |
(* x (- (pow y 2) 1)) |
(* -1 (/ (* x (- 1 (pow y 2))) (+ 1 y))) |
(* x (+ 1 (* -1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))) |
(* -1 (* x (- (* z (+ 1 (* -1 y))) 1))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (pow y 2) 1)) (+ 1 y))) 1))) |
(* -1 (* x (- (pow y 2) 1))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(- (* x y) x) |
(* x (- 1 z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* -1 x) (* x y)) |
(- 1 z) |
(- (+ 1 (* y z)) z) |
(* -1 z) |
(+ (* -1 z) (* y z)) |
-1 |
(- y 1) |
x |
(- (* -1 (* x (pow y 2))) (* -1 x)) |
(+ (* -1 x) (* x (pow y 2))) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (+ z (* -1 (/ z y)))) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- (+ (* x z) (/ x y)) (/ (* x z) y))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (- (/ x (pow y 2)) x)) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1 (/ x (pow y 2))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* -1 (* y (- (/ 1 y) 1))) |
(+ x (* z (- (* x y) x))) |
(+ x (* x (* z (- y 1)))) |
1 |
(+ 1 (* z (- y 1))) |
(* z (- y 1)) |
(+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))) |
(* z (- (* x y) x)) |
(* z (- (+ (* x y) (/ x z)) x)) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (- (+ y (/ 1 z)) 1)) |
(/ (* x (* z (- (pow y 2) 1))) (+ 1 y)) |
(* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y)))) |
(* -1 (* z (+ (* -1 (- (* x y) x)) (* -1 (/ x z))))) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(* -1 (* z (- 1 y))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- (pow y 2) 1)) (+ 1 y)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | z | @ | -inf | ((+ (* (+ (* y x) (neg x)) z) x) (+ (* y x) (neg x)) (neg x) (* x (- 1 (* (- 1 y) z))) (* (* x z) y) (* x z) (+ (* (* x (- y 1)) z) x) (* x (- y 1)) (* y x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- y 1) z) (- y 1) (/ (neg (* (+ (* y y) -1) x)) (- -1 y)) (+ (* (/ (neg (* (+ (* y y) -1) x)) (- -1 y)) z) x) (neg (* (+ (* y y) -1) x)) (* (+ (* y y) -1) x)) |
| 7.0ms | x | @ | -inf | ((+ (* (+ (* y x) (neg x)) z) x) (+ (* y x) (neg x)) (neg x) (* x (- 1 (* (- 1 y) z))) (* (* x z) y) (* x z) (+ (* (* x (- y 1)) z) x) (* x (- y 1)) (* y x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- y 1) z) (- y 1) (/ (neg (* (+ (* y y) -1) x)) (- -1 y)) (+ (* (/ (neg (* (+ (* y y) -1) x)) (- -1 y)) z) x) (neg (* (+ (* y y) -1) x)) (* (+ (* y y) -1) x)) |
| 7.0ms | y | @ | -inf | ((+ (* (+ (* y x) (neg x)) z) x) (+ (* y x) (neg x)) (neg x) (* x (- 1 (* (- 1 y) z))) (* (* x z) y) (* x z) (+ (* (* x (- y 1)) z) x) (* x (- y 1)) (* y x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- y 1) z) (- y 1) (/ (neg (* (+ (* y y) -1) x)) (- -1 y)) (+ (* (/ (neg (* (+ (* y y) -1) x)) (- -1 y)) z) x) (neg (* (+ (* y y) -1) x)) (* (+ (* y y) -1) x)) |
| 4.0ms | x | @ | inf | ((+ (* (+ (* y x) (neg x)) z) x) (+ (* y x) (neg x)) (neg x) (* x (- 1 (* (- 1 y) z))) (* (* x z) y) (* x z) (+ (* (* x (- y 1)) z) x) (* x (- y 1)) (* y x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- y 1) z) (- y 1) (/ (neg (* (+ (* y y) -1) x)) (- -1 y)) (+ (* (/ (neg (* (+ (* y y) -1) x)) (- -1 y)) z) x) (neg (* (+ (* y y) -1) x)) (* (+ (* y y) -1) x)) |
| 4.0ms | x | @ | 0 | ((+ (* (+ (* y x) (neg x)) z) x) (+ (* y x) (neg x)) (neg x) (* x (- 1 (* (- 1 y) z))) (* (* x z) y) (* x z) (+ (* (* x (- y 1)) z) x) (* x (- y 1)) (* y x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- y 1) z) (- y 1) (/ (neg (* (+ (* y y) -1) x)) (- -1 y)) (+ (* (/ (neg (* (+ (* y y) -1) x)) (- -1 y)) z) x) (neg (* (+ (* y y) -1) x)) (* (+ (* y y) -1) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 166 | 511 |
| 1 | 556 | 509 |
| 2 | 1644 | 509 |
| 3 | 3754 | 509 |
| 4 | 6942 | 509 |
| 0 | 8113 | 467 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (* z (- y 1)))) |
(* x (- y 1)) |
(* -1 x) |
(* x (- 1 (* z (- 1 y)))) |
(* x (* y z)) |
(* x z) |
(* x y) |
(/ (* x (- (pow y 2) 1)) (+ 1 y)) |
(* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y)))) |
(* x (- 1 (pow y 2))) |
(* x (- (pow y 2) 1)) |
(* -1 (/ (* x (- 1 (pow y 2))) (+ 1 y))) |
(* x (+ 1 (* -1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))) |
(* -1 (* x (- (* z (+ 1 (* -1 y))) 1))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (pow y 2) 1)) (+ 1 y))) 1))) |
(* -1 (* x (- (pow y 2) 1))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(- (* x y) x) |
(* x (- 1 z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* -1 x) (* x y)) |
(- 1 z) |
(- (+ 1 (* y z)) z) |
(* -1 z) |
(+ (* -1 z) (* y z)) |
-1 |
(- y 1) |
x |
(- (* -1 (* x (pow y 2))) (* -1 x)) |
(+ (* -1 x) (* x (pow y 2))) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (+ z (* -1 (/ z y)))) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- (+ (* x z) (/ x y)) (/ (* x z) y))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (- (/ x (pow y 2)) x)) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1 (/ x (pow y 2))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* -1 (* y (- (/ 1 y) 1))) |
(+ x (* z (- (* x y) x))) |
(+ x (* x (* z (- y 1)))) |
1 |
(+ 1 (* z (- y 1))) |
(* z (- y 1)) |
(+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))) |
(* z (- (* x y) x)) |
(* z (- (+ (* x y) (/ x z)) x)) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (- (+ y (/ 1 z)) 1)) |
(/ (* x (* z (- (pow y 2) 1))) (+ 1 y)) |
(* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y)))) |
(* -1 (* z (+ (* -1 (- (* x y) x)) (* -1 (/ x z))))) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(* -1 (* z (- 1 y))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- (pow y 2) 1)) (+ 1 y)))))) |
| Outputs |
|---|
(* x (+ 1 (* z (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- 1 (* z (- 1 y)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x z) |
(*.f64 z x) |
(* x y) |
(*.f64 x y) |
(/ (* x (- (pow y 2) 1)) (+ 1 y)) |
(*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) |
(* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y)))) |
(fma.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) x) |
(* x (- 1 (pow y 2))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(* x (- (pow y 2) 1)) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) x) |
(* -1 (/ (* x (- 1 (pow y 2))) (+ 1 y))) |
(*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) |
(* x (+ 1 (* -1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))) |
(fma.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) x) |
(* -1 (* x (- (* z (+ 1 (* -1 y))) 1))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (* z (- (pow y 2) 1)) (+ 1 y))) 1))) |
(fma.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) x) |
(* -1 (* x (- (pow y 2) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(- (* x y) x) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ (* x (* y z)) (* x (- 1 z))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(+ (* -1 x) (* x y)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(- 1 z) |
(-.f64 #s(literal 1 binary64) z) |
(- (+ 1 (* y z)) z) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* y z)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) z) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
x |
(- (* -1 (* x (pow y 2))) (* -1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(+ (* -1 x) (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) x) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* y (+ x (* -1 (/ x y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* y z) |
(*.f64 z y) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(* y (+ z (* -1 (/ z y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) z) |
y |
(* y (- 1 (/ 1 y))) |
(-.f64 y #s(literal 1 binary64)) |
(* y (- (+ (* x z) (/ x y)) (/ (* x z) y))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) x) y) |
(* (pow y 2) (- (/ x (pow y 2)) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (* -1 (/ x (pow y 2))))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) x) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) z) |
(* -1 (* y (- (/ 1 y) 1))) |
(-.f64 y #s(literal 1 binary64)) |
(+ x (* z (- (* x y) x))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(+ x (* x (* z (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* z (- y 1))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(* z (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) z) |
(+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))) |
(fma.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) x) |
(* z (- (* x y) x)) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z) |
(* z (- (+ (* x y) (/ x z)) x)) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* x (* z (- y 1))) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z) |
(* z (+ (* x (- y 1)) (/ x z))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* z (- (+ y (/ 1 z)) 1)) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(/ (* x (* z (- (pow y 2) 1))) (+ 1 y)) |
(*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) z)) |
(* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y)))) |
(fma.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) x) |
(* -1 (* z (+ (* -1 (- (* x y) x)) (* -1 (/ x z))))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* -1 (* x (* z (- 1 y)))) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* -1 (* z (- 1 y))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) z) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- (pow y 2) 1)) (+ 1 y)))))) |
(fma.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 136 |
| 0 | 50 | 124 |
| 1 | 196 | 124 |
| 2 | 1482 | 124 |
| 0 | 8896 | 121 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 y x (neg.f64 x)) z x) |
(fma.f64 y x (neg.f64 x)) |
(neg.f64 x) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) |
(*.f64 (*.f64 x z) y) |
(*.f64 x z) |
(fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x) |
#s(approx (* x (- y 1)) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) |
#s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) z) |
(-.f64 y #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) |
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) z x) |
(neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) x) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (fma.f64 x y (neg.f64 x)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (fma.f64 x y (neg.f64 x)) (neg.f64 x))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (*.f64 z (fma.f64 x y (neg.f64 x)))) (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 z (fma.f64 x y (neg.f64 x)) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 2 binary64)) (*.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) x))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 z (fma.f64 x y (neg.f64 x)))) (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x y (neg.f64 x)) x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x y (neg.f64 x)) x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 2 binary64)) (fma.f64 z (fma.f64 x y (neg.f64 x)) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 z (fma.f64 x y (neg.f64 x)) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 2 binary64)) (fma.f64 z (fma.f64 x y (neg.f64 x)) (neg.f64 x))) (/.f64 (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 2 binary64)) (fma.f64 z (fma.f64 x y (neg.f64 x)) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 z (fma.f64 x y (neg.f64 x)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 z (fma.f64 x y (neg.f64 x)) (neg.f64 x))) (*.f64 (/.f64 (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 2 binary64)) (fma.f64 z (fma.f64 x y (neg.f64 x)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 z (fma.f64 x y (neg.f64 x)) (neg.f64 x))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 z (fma.f64 x y (neg.f64 x)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 z (fma.f64 x y (neg.f64 x)) (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 z (fma.f64 x y (neg.f64 x)))) (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 2 binary64)) (fma.f64 z (fma.f64 x y (neg.f64 x)) (neg.f64 x))) (*.f64 (fma.f64 z (fma.f64 x y (neg.f64 x)) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 z (fma.f64 x y (neg.f64 x)) (neg.f64 x)) (fma.f64 z (fma.f64 x y (neg.f64 x)) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 2 binary64))) (-.f64 x (*.f64 z (fma.f64 x y (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 z (fma.f64 x y (neg.f64 x)) (neg.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 2 binary64)) (*.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 z (fma.f64 x y (neg.f64 x)))) (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 z (fma.f64 x y (neg.f64 x)) (neg.f64 x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 2 binary64)) (*.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 z (fma.f64 x y (neg.f64 x)))) (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x y (neg.f64 x)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 z (fma.f64 x y (neg.f64 x)))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 2 binary64)) (*.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) x))) (-.f64 (pow.f64 (*.f64 z (fma.f64 x y (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x y (neg.f64 x)) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x y (neg.f64 x)) x))) |
(fma.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x x)) x) (/.f64 z (-.f64 y #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 z x) (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 y #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 z (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 y (neg.f64 y) #s(literal 1 binary64)) x) (-.f64 y #s(literal 1 binary64))) x) |
(fma.f64 (/.f64 z (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 (fma.f64 y (neg.f64 y) #s(literal 1 binary64)) x) (pow.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 z #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y)) x) |
(fma.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal -1 binary64)) (/.f64 z (-.f64 #s(literal -1 binary64) y)) x) |
(fma.f64 (/.f64 (fma.f64 y (neg.f64 y) #s(literal 1 binary64)) (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) (/.f64 (*.f64 z x) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 (fma.f64 y (neg.f64 y) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 z x) (pow.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) (/.f64 (*.f64 (neg.f64 x) z) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 (neg.f64 x) z) (pow.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) z) (pow.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) z) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 z (-.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y y #s(literal -1 binary64)) x))) x) |
(fma.f64 (*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) z) x) |
(fma.f64 (/.f64 (*.f64 (fma.f64 y (neg.f64 y) #s(literal 1 binary64)) x) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 z (pow.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) x) |
(fma.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 z (-.f64 #s(literal 1 binary64) y))) (-.f64 y #s(literal 1 binary64)) x) |
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(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 y y) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (*.f64 y y))) |
(fma.f64 (*.f64 y y) x (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) x (*.f64 (*.f64 y y) x)) |
(fma.f64 #s(literal -1 binary64) x (*.f64 x (*.f64 y y))) |
(fma.f64 x (*.f64 y y) (neg.f64 x)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 (*.f64 y y) x)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 x (*.f64 y y))) |
(-.f64 (*.f64 (*.f64 y y) x) x) |
(-.f64 (*.f64 x (*.f64 y y)) x) |
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y (neg.f64 y) #s(literal 1 binary64)) x)) |
(+.f64 (*.f64 (*.f64 y y) x) (neg.f64 x)) |
(+.f64 (*.f64 x (*.f64 y y)) (neg.f64 x)) |
(+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) |
(+.f64 (neg.f64 x) (*.f64 (*.f64 y y) x)) |
(+.f64 (neg.f64 x) (*.f64 x (*.f64 y y))) |
Compiled 10 788 to 1 732 computations (83.9% saved)
12 alts after pruning (5 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 466 | 5 | 471 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 468 | 12 | 480 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.6% | (fma.f64 (fma.f64 y x (neg.f64 x)) z x) |
| ▶ | 80.8% | (fma.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal -1 binary64))) z x) |
| ✓ | 95.5% | (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) |
| ✓ | 73.6% | (fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x) |
| ▶ | 73.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* x (- y 1)) (*.f64 x y)) z x))) |
| ✓ | 64.4% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
| ✓ | 58.6% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) |
| ✓ | 36.4% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
| ▶ | 27.9% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z)))) |
| ▶ | 39.3% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
| ✓ | 40.1% | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) |
| ▶ | 39.6% | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) |
Compiled 230 to 176 computations (23.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* x (- y 1)) (*.f64 x y)) | |
| cost-diff | 0 | (fma.f64 #s(approx (* x (- y 1)) (*.f64 x y)) z x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* x (- y 1)) (*.f64 x y)) z x)) | |
| cost-diff | 4 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* x (- y 1)) (*.f64 x y)) z x))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) z) | |
| cost-diff | 0 | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (* (- y 1) z) (neg.f64 z)) | |
| cost-diff | 0 | #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z))) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z)))) | |
| cost-diff | 0 | #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 y y #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal -1 binary64))) z x) | |
| cost-diff | 5 | (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 192 |
| 0 | 46 | 188 |
| 1 | 84 | 188 |
| 2 | 172 | 188 |
| 3 | 459 | 177 |
| 4 | 1863 | 177 |
| 5 | 4194 | 177 |
| 0 | 8076 | 173 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal -1 binary64))) z x) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal -1 binary64))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) x) |
(fma.f64 y y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
x |
(-.f64 y #s(literal -1 binary64)) |
z |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
x |
#s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z)))) |
x |
#s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z))) |
#s(approx (* (- y 1) z) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
x |
y |
z |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* x (- y 1)) (*.f64 x y)) z x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* x (- y 1)) (*.f64 x y)) z x)) |
(fma.f64 #s(approx (* x (- y 1)) (*.f64 x y)) z x) |
#s(approx (* x (- y 1)) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
z |
| Outputs |
|---|
(fma.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal -1 binary64))) z x) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal -1 binary64))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) x) |
(*.f64 x (fma.f64 y y #s(literal -1 binary64))) |
(fma.f64 y y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
x |
(-.f64 y #s(literal -1 binary64)) |
z |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) x) |
x |
#s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z)))) |
(*.f64 #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z))) x) |
x |
#s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z))) |
#s(approx (* (- y 1) z) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
x |
y |
z |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* x (- y 1)) (*.f64 x y)) z x))) |
(fma.f64 #s(approx (* x (- y 1)) (*.f64 x y)) z x) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* x (- y 1)) (*.f64 x y)) z x)) |
(fma.f64 #s(approx (* x (- y 1)) (*.f64 x y)) z x) |
#s(approx (* x (- y 1)) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
z |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.16796875 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* x (- y 1)) (*.f64 x y)) z x))) | |
| accuracy | 0.5089968643507676 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* x (- y 1)) (*.f64 x y)) z x)) | |
| accuracy | 2.189785795028231 | (fma.f64 #s(approx (* x (- y 1)) (*.f64 x y)) z x) | |
| accuracy | 28.18104336184675 | #s(approx (* x (- y 1)) (*.f64 x y)) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 3.7020245308639455 | (*.f64 (*.f64 x y) z) | |
| accuracy | 37.82276686617991 | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 2.8712119507235343 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z)))) | |
| accuracy | 23.834418114707212 | #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z))) | |
| accuracy | 34.11750668136782 | #s(approx (* (- y 1) z) (neg.f64 z)) | |
| accuracy | 2.8712119507235343 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) | |
| accuracy | 39.03371884606033 | #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (-.f64 y #s(literal -1 binary64)) | |
| accuracy | 2.189785795028231 | (fma.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal -1 binary64))) z x) | |
| accuracy | 3.855675532395866 | (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) | |
| accuracy | 9.239686439047935 | (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal -1 binary64))) |
| 69.0ms | 256× | 0 | valid |
Compiled 155 to 28 computations (81.9% saved)
ival-mult: 20.0ms (54% of total)ival-div: 7.0ms (18.9% of total)ival-sub: 5.0ms (13.5% of total)ival-add: 3.0ms (8.1% of total)ival-neg: 1.0ms (2.7% 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 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal -1 binary64))) z x) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) x) |
(fma.f64 y y #s(literal -1 binary64)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
#s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z)))) |
#s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z))) |
#s(approx (* (- y 1) z) (neg.f64 z)) |
(neg.f64 z) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* x (- y 1)) (*.f64 x y)) z x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* x (- y 1)) (*.f64 x y)) z x)) |
(fma.f64 #s(approx (* x (- y 1)) (*.f64 x y)) z x) |
#s(approx (* x (- y 1)) (*.f64 x y)) |
(-.f64 y #s(literal -1 binary64)) |
| Outputs |
|---|
(/ (* x (- (pow y 2) 1)) (+ 1 y)) |
(* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y)))) |
(* x (- (pow y 2) 1)) |
(* x (- 1 (* z (- 1 y)))) |
(* x (* y z)) |
(* x y) |
(* x (+ 1 (* z (- y 1)))) |
(/ 1 (* x (+ 1 (* z (- y 1))))) |
(* x (- y 1)) |
(* -1 (* x (- (* -1 (/ (* z (- (pow y 2) 1)) (+ 1 y))) 1))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(/ -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* -1 x) |
(+ (* -1 x) (* x y)) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(+ (* -1 x) (* x (pow y 2))) |
-1 |
(- (pow y 2) 1) |
(* x (- 1 z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(- 1 z) |
(- (+ 1 (* y z)) z) |
(* -1 z) |
(+ (* -1 z) (* y z)) |
(/ 1 (+ x (* -1 (* x z)))) |
(+ (* -1 (/ (* x (* y z)) (pow (+ x (* -1 (* x z))) 2))) (/ 1 (+ x (* -1 (* x z))))) |
(+ (* y (- (/ (* (pow x 2) (* y (pow z 2))) (pow (+ x (* -1 (* x z))) 3)) (/ (* x z) (pow (+ x (* -1 (* x z))) 2)))) (/ 1 (+ x (* -1 (* x z))))) |
(+ (* y (- (* y (- (* -1 (/ (* (pow x 3) (* y (pow z 3))) (pow (+ x (* -1 (* x z))) 4))) (* -1 (/ (* (pow x 2) (pow z 2)) (pow (+ x (* -1 (* x z))) 3))))) (/ (* x z) (pow (+ x (* -1 (* x z))) 2)))) (/ 1 (+ x (* -1 (* x z))))) |
1 |
(+ 1 y) |
(* y (+ x (* -1 (/ x y)))) |
(* y (- (+ (* x z) (/ x y)) (/ (* x z) y))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1 (/ x (pow y 2))))) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (+ z (* -1 (/ z y)))) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(/ 1 (* x (* y z))) |
(/ (- (+ (/ 1 (* x z)) (/ 1 (* x (* y z)))) (/ 1 (* x (* y (pow z 2))))) y) |
(/ (- (+ (* -1 (/ (* (+ x (* -1 (* x z))) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* x (* (pow y 2) z)))) (+ (/ 1 (* x z)) (/ 1 (* x (* y z))))) (/ 1 (* x (* y (pow z 2))))) y) |
(/ (- (+ (/ 1 (* x z)) (+ (/ 1 (* x (* y z))) (/ (* (pow (+ x (* -1 (* x z))) 2) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* (pow x 2) (* (pow y 3) (pow z 2)))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ (* (+ x (* -1 (* x z))) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* x (* (pow y 2) z))))) y) |
y |
(* y (+ 1 (/ 1 y))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- x (* x z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x z)) (/ 1 (* x (pow z 2)))) y)) (/ 1 (* x z))) y)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ x (* -1 (* x z))) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* x (* y z)))) (/ 1 (* x z))) (/ 1 (* x (pow z 2)))) y)) (/ 1 (* x z))) y)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (+ x (* -1 (* x z))) 2) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* (pow x 2) (* y (pow z 2))))) (* -1 (/ (* (+ x (* -1 (* x z))) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* x z)))) y)) (/ 1 (* x z))) (/ 1 (* x (pow z 2)))) y)) (/ 1 (* x z))) y)) |
x |
(+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))) |
(+ x (* x (* z (- y 1)))) |
(+ 1 (* z (- y 1))) |
(* z (- y 1)) |
(/ 1 x) |
(+ (* z (- (/ 1 x) (/ y x))) (/ 1 x)) |
(+ (* z (- (+ (* -1 (* z (* (- y 1) (- (/ 1 x) (/ y x))))) (/ 1 x)) (/ y x))) (/ 1 x)) |
(+ (* z (- (+ (* z (- (* z (* (pow (- y 1) 2) (- (/ 1 x) (/ y x)))) (* (- y 1) (- (/ 1 x) (/ y x))))) (/ 1 x)) (/ y x))) (/ 1 x)) |
(/ (* x (* z (- (pow y 2) 1))) (+ 1 y)) |
(* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y)))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (- (+ y (/ 1 z)) 1)) |
(/ 1 (* x (* z (- y 1)))) |
(/ (- (/ 1 (* x (- y 1))) (/ 1 (* x (* z (pow (- y 1) 2))))) z) |
(/ (- (+ (/ 1 (* x (* (pow z 2) (pow (- y 1) 3)))) (/ 1 (* x (- y 1)))) (/ 1 (* x (* z (pow (- y 1) 2))))) z) |
(/ (- (+ (/ 1 (* x (* (pow z 2) (pow (- y 1) 3)))) (/ 1 (* x (- y 1)))) (+ (/ 1 (* x (* z (pow (- y 1) 2)))) (/ 1 (* x (* (pow z 3) (pow (- y 1) 4)))))) z) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- (pow y 2) 1)) (+ 1 y)))))) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (- 1 y))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(* -1 (/ (- (/ 1 (* x (* z (pow (- y 1) 2)))) (/ 1 (* x (- y 1)))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (* z (pow (- y 1) 3)))) (/ 1 (* x (pow (- y 1) 2)))) z)) (/ 1 (* x (- y 1)))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (* z (pow (- y 1) 4)))) (/ 1 (* x (pow (- y 1) 3)))) z)) (/ 1 (* x (pow (- y 1) 2)))) z)) (/ 1 (* x (- y 1)))) z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | x | @ | -inf | ((/ (* (+ (* y y) -1) x) (- y -1)) (+ (* (/ (* (+ (* y y) -1) x) (- y -1)) z) x) (* (+ (* y y) -1) x) (+ (* y y) -1) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- y 1) z) (neg z) (* x (- 1 (* (- 1 y) z))) (* (* x y) z) (* x y) (/ 1 (/ 1 (+ (* (* x (- y 1)) z) x))) (/ 1 (+ (* (* x (- y 1)) z) x)) (+ (* (* x (- y 1)) z) x) (* x (- y 1)) (- y -1)) |
| 3.0ms | y | @ | -inf | ((/ (* (+ (* y y) -1) x) (- y -1)) (+ (* (/ (* (+ (* y y) -1) x) (- y -1)) z) x) (* (+ (* y y) -1) x) (+ (* y y) -1) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- y 1) z) (neg z) (* x (- 1 (* (- 1 y) z))) (* (* x y) z) (* x y) (/ 1 (/ 1 (+ (* (* x (- y 1)) z) x))) (/ 1 (+ (* (* x (- y 1)) z) x)) (+ (* (* x (- y 1)) z) x) (* x (- y 1)) (- y -1)) |
| 3.0ms | x | @ | 0 | ((/ (* (+ (* y y) -1) x) (- y -1)) (+ (* (/ (* (+ (* y y) -1) x) (- y -1)) z) x) (* (+ (* y y) -1) x) (+ (* y y) -1) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- y 1) z) (neg z) (* x (- 1 (* (- 1 y) z))) (* (* x y) z) (* x y) (/ 1 (/ 1 (+ (* (* x (- y 1)) z) x))) (/ 1 (+ (* (* x (- y 1)) z) x)) (+ (* (* x (- y 1)) z) x) (* x (- y 1)) (- y -1)) |
| 3.0ms | x | @ | inf | ((/ (* (+ (* y y) -1) x) (- y -1)) (+ (* (/ (* (+ (* y y) -1) x) (- y -1)) z) x) (* (+ (* y y) -1) x) (+ (* y y) -1) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- y 1) z) (neg z) (* x (- 1 (* (- 1 y) z))) (* (* x y) z) (* x y) (/ 1 (/ 1 (+ (* (* x (- y 1)) z) x))) (/ 1 (+ (* (* x (- y 1)) z) x)) (+ (* (* x (- y 1)) z) x) (* x (- y 1)) (- y -1)) |
| 3.0ms | y | @ | inf | ((/ (* (+ (* y y) -1) x) (- y -1)) (+ (* (/ (* (+ (* y y) -1) x) (- y -1)) z) x) (* (+ (* y y) -1) x) (+ (* y y) -1) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- y 1) z) (neg z) (* x (- 1 (* (- 1 y) z))) (* (* x y) z) (* x y) (/ 1 (/ 1 (+ (* (* x (- y 1)) z) x))) (/ 1 (+ (* (* x (- y 1)) z) x)) (+ (* (* x (- y 1)) z) x) (* x (- y 1)) (- y -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 300 | 1272 |
| 1 | 959 | 1224 |
| 2 | 3122 | 1186 |
| 0 | 8428 | 1142 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (- (pow y 2) 1)) (+ 1 y)) |
(* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y)))) |
(* x (- (pow y 2) 1)) |
(* x (- 1 (* z (- 1 y)))) |
(* x (* y z)) |
(* x y) |
(* x (+ 1 (* z (- y 1)))) |
(/ 1 (* x (+ 1 (* z (- y 1))))) |
(* x (- y 1)) |
(* -1 (* x (- (* -1 (/ (* z (- (pow y 2) 1)) (+ 1 y))) 1))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(/ -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* -1 x) |
(+ (* -1 x) (* x y)) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(+ (* -1 x) (* x (pow y 2))) |
-1 |
(- (pow y 2) 1) |
(* x (- 1 z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(- 1 z) |
(- (+ 1 (* y z)) z) |
(* -1 z) |
(+ (* -1 z) (* y z)) |
(/ 1 (+ x (* -1 (* x z)))) |
(+ (* -1 (/ (* x (* y z)) (pow (+ x (* -1 (* x z))) 2))) (/ 1 (+ x (* -1 (* x z))))) |
(+ (* y (- (/ (* (pow x 2) (* y (pow z 2))) (pow (+ x (* -1 (* x z))) 3)) (/ (* x z) (pow (+ x (* -1 (* x z))) 2)))) (/ 1 (+ x (* -1 (* x z))))) |
(+ (* y (- (* y (- (* -1 (/ (* (pow x 3) (* y (pow z 3))) (pow (+ x (* -1 (* x z))) 4))) (* -1 (/ (* (pow x 2) (pow z 2)) (pow (+ x (* -1 (* x z))) 3))))) (/ (* x z) (pow (+ x (* -1 (* x z))) 2)))) (/ 1 (+ x (* -1 (* x z))))) |
1 |
(+ 1 y) |
(* y (+ x (* -1 (/ x y)))) |
(* y (- (+ (* x z) (/ x y)) (/ (* x z) y))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1 (/ x (pow y 2))))) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (+ z (* -1 (/ z y)))) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(/ 1 (* x (* y z))) |
(/ (- (+ (/ 1 (* x z)) (/ 1 (* x (* y z)))) (/ 1 (* x (* y (pow z 2))))) y) |
(/ (- (+ (* -1 (/ (* (+ x (* -1 (* x z))) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* x (* (pow y 2) z)))) (+ (/ 1 (* x z)) (/ 1 (* x (* y z))))) (/ 1 (* x (* y (pow z 2))))) y) |
(/ (- (+ (/ 1 (* x z)) (+ (/ 1 (* x (* y z))) (/ (* (pow (+ x (* -1 (* x z))) 2) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* (pow x 2) (* (pow y 3) (pow z 2)))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ (* (+ x (* -1 (* x z))) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* x (* (pow y 2) z))))) y) |
y |
(* y (+ 1 (/ 1 y))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- x (* x z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x z)) (/ 1 (* x (pow z 2)))) y)) (/ 1 (* x z))) y)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ x (* -1 (* x z))) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* x (* y z)))) (/ 1 (* x z))) (/ 1 (* x (pow z 2)))) y)) (/ 1 (* x z))) y)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (+ x (* -1 (* x z))) 2) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* (pow x 2) (* y (pow z 2))))) (* -1 (/ (* (+ x (* -1 (* x z))) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* x z)))) y)) (/ 1 (* x z))) (/ 1 (* x (pow z 2)))) y)) (/ 1 (* x z))) y)) |
x |
(+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))) |
(+ x (* x (* z (- y 1)))) |
(+ 1 (* z (- y 1))) |
(* z (- y 1)) |
(/ 1 x) |
(+ (* z (- (/ 1 x) (/ y x))) (/ 1 x)) |
(+ (* z (- (+ (* -1 (* z (* (- y 1) (- (/ 1 x) (/ y x))))) (/ 1 x)) (/ y x))) (/ 1 x)) |
(+ (* z (- (+ (* z (- (* z (* (pow (- y 1) 2) (- (/ 1 x) (/ y x)))) (* (- y 1) (- (/ 1 x) (/ y x))))) (/ 1 x)) (/ y x))) (/ 1 x)) |
(/ (* x (* z (- (pow y 2) 1))) (+ 1 y)) |
(* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y)))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (- (+ y (/ 1 z)) 1)) |
(/ 1 (* x (* z (- y 1)))) |
(/ (- (/ 1 (* x (- y 1))) (/ 1 (* x (* z (pow (- y 1) 2))))) z) |
(/ (- (+ (/ 1 (* x (* (pow z 2) (pow (- y 1) 3)))) (/ 1 (* x (- y 1)))) (/ 1 (* x (* z (pow (- y 1) 2))))) z) |
(/ (- (+ (/ 1 (* x (* (pow z 2) (pow (- y 1) 3)))) (/ 1 (* x (- y 1)))) (+ (/ 1 (* x (* z (pow (- y 1) 2)))) (/ 1 (* x (* (pow z 3) (pow (- y 1) 4)))))) z) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- (pow y 2) 1)) (+ 1 y)))))) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (- 1 y))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(* -1 (/ (- (/ 1 (* x (* z (pow (- y 1) 2)))) (/ 1 (* x (- y 1)))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (* z (pow (- y 1) 3)))) (/ 1 (* x (pow (- y 1) 2)))) z)) (/ 1 (* x (- y 1)))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (* z (pow (- y 1) 4)))) (/ 1 (* x (pow (- y 1) 3)))) z)) (/ 1 (* x (pow (- y 1) 2)))) z)) (/ 1 (* x (- y 1)))) z)) |
| Outputs |
|---|
(/ (* x (- (pow y 2) 1)) (+ 1 y)) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y)))) |
(fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (+.f64 #s(literal 1 binary64) y)) x) |
(* x (- (pow y 2) 1)) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) x) |
(* x (- 1 (* z (- 1 y)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x y) |
(*.f64 x y) |
(* x (+ 1 (* z (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(/ 1 (* x (+ 1 (* z (- y 1))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (* z (- (pow y 2) 1)) (+ 1 y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 z (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(/ -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal -1 binary64))) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* x y)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(+ x (* -1 (* x z))) |
(fma.f64 (neg.f64 x) z x) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(+ (* -1 x) (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- (pow y 2) 1) |
(fma.f64 y y #s(literal -1 binary64)) |
(* x (- 1 z)) |
(fma.f64 (neg.f64 x) z x) |
(+ (* x (* y z)) (* x (- 1 z))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(- 1 z) |
(-.f64 #s(literal 1 binary64) z) |
(- (+ 1 (* y z)) z) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* y z)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) z) |
(/ 1 (+ x (* -1 (* x z)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) z x)) |
(+ (* -1 (/ (* x (* y z)) (pow (+ x (* -1 (* x z))) 2))) (/ 1 (+ x (* -1 (* x z))))) |
(fma.f64 (*.f64 (neg.f64 y) (/.f64 z (pow.f64 (fma.f64 (neg.f64 x) z x) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) z x))) |
(+ (* y (- (/ (* (pow x 2) (* y (pow z 2))) (pow (+ x (* -1 (* x z))) 3)) (/ (* x z) (pow (+ x (* -1 (* x z))) 2)))) (/ 1 (+ x (* -1 (* x z))))) |
(fma.f64 (*.f64 x (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) y) x) (pow.f64 (fma.f64 (neg.f64 x) z x) #s(literal 3 binary64))) (/.f64 z (pow.f64 (fma.f64 (neg.f64 x) z x) #s(literal 2 binary64))))) y (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) z x))) |
(+ (* y (- (* y (- (* -1 (/ (* (pow x 3) (* y (pow z 3))) (pow (+ x (* -1 (* x z))) 4))) (* -1 (/ (* (pow x 2) (pow z 2)) (pow (+ x (* -1 (* x z))) 3))))) (/ (* x z) (pow (+ x (* -1 (* x z))) 2)))) (/ 1 (+ x (* -1 (* x z))))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 x (*.f64 (pow.f64 z #s(literal 3 binary64)) y)) (pow.f64 (fma.f64 (neg.f64 x) z x) #s(literal 4 binary64))) (*.f64 z (/.f64 z (pow.f64 (fma.f64 (neg.f64 x) z x) #s(literal 3 binary64)))))) y (*.f64 (/.f64 z (pow.f64 (fma.f64 (neg.f64 x) z x) #s(literal 2 binary64))) x))) y (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) z x))) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ x (* -1 (/ x y)))) |
(*.f64 (-.f64 x (/.f64 x y)) y) |
(* y (- (+ (* x z) (/ x y)) (/ (* x z) y))) |
(*.f64 (*.f64 x (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* (pow y 2) (+ x (* -1 (/ x (pow y 2))))) |
(*.f64 (*.f64 (-.f64 x (/.f64 (/.f64 x y) y)) y) y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(*.f64 y (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y y)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(*.f64 (*.f64 x (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))) y) |
(* y z) |
(*.f64 z y) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(fma.f64 (-.f64 z (/.f64 z y)) y #s(literal 1 binary64)) |
(* y (+ z (* -1 (/ z y)))) |
(*.f64 (-.f64 z (/.f64 z y)) y) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(*.f64 (*.f64 x (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))) y) |
(/ 1 (* x (* y z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) x)) |
(/ (- (+ (/ 1 (* x z)) (/ 1 (* x (* y z)))) (/ 1 (* x (* y (pow z 2))))) y) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) z)) y) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) |
(/ (- (+ (* -1 (/ (* (+ x (* -1 (* x z))) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* x (* (pow y 2) z)))) (+ (/ 1 (* x z)) (/ 1 (* x (* y z))))) (/ 1 (* x (* y (pow z 2))))) y) |
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) z)) (*.f64 (*.f64 z y) y)) (/.f64 (fma.f64 (neg.f64 x) z x) x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) z)) y) (/.f64 #s(literal 1 binary64) (*.f64 z x)))) y) |
(/ (- (+ (/ 1 (* x z)) (+ (/ 1 (* x (* y z))) (/ (* (pow (+ x (* -1 (* x z))) 2) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* (pow x 2) (* (pow y 3) (pow z 2)))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ (* (+ x (* -1 (* x z))) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* x (* (pow y 2) z))))) y) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) z)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x x))) (/.f64 (pow.f64 (fma.f64 (neg.f64 x) z x) #s(literal 2 binary64)) (*.f64 z z)) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) z)) (*.f64 (*.f64 z y) y)) (/.f64 (fma.f64 (neg.f64 x) z x) x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) z)) y) (/.f64 #s(literal 1 binary64) (*.f64 z x))))) y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(*.f64 (-.f64 x (/.f64 x y)) y) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- x (* x z)) y))))) |
(*.f64 (*.f64 x (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))) y) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (*.f64 x (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))) y) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(fma.f64 (-.f64 z (/.f64 z y)) y #s(literal 1 binary64)) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(*.f64 (-.f64 z (/.f64 z y)) y) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(*.f64 (*.f64 x (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))) y) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x z)) (/ 1 (* x (pow z 2)))) y)) (/ 1 (* x z))) y)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) z)) y) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ x (* -1 (* x z))) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* x (* y z)))) (/ 1 (* x z))) (/ 1 (* x (pow z 2)))) y)) (/ 1 (* x z))) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) z)) z) y) (/.f64 (fma.f64 (neg.f64 x) z x) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) z))) y) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (+ x (* -1 (* x z))) 2) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* (pow x 2) (* y (pow z 2))))) (* -1 (/ (* (+ x (* -1 (* x z))) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* x z)))) y)) (/ 1 (* x z))) (/ 1 (* x (pow z 2)))) y)) (/ 1 (* x z))) y)) |
(/.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) z)) (-.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 x) z x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) z) z)) (/.f64 (fma.f64 (neg.f64 x) z x) (*.f64 z x)))) y) (/.f64 #s(literal 1 binary64) (*.f64 z x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) z)) y) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) |
x |
(+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))) |
(fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (+.f64 #s(literal 1 binary64) y)) x) |
(+ x (* x (* z (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(+ 1 (* z (- y 1))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(* z (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) z) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* z (- (/ 1 x) (/ y x))) (/ 1 x)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) z (/.f64 #s(literal 1 binary64) x)) |
(+ (* z (- (+ (* -1 (* z (* (- y 1) (- (/ 1 x) (/ y x))))) (/ 1 x)) (/ y x))) (/ 1 x)) |
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) z (/.f64 #s(literal 1 binary64) x)) |
(+ (* z (- (+ (* z (- (* z (* (pow (- y 1) 2) (- (/ 1 x) (/ y x)))) (* (- y 1) (- (/ 1 x) (/ y x))))) (/ 1 x)) (/ y x))) (/ 1 x)) |
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) z (-.f64 #s(literal 1 binary64) y))) z (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) z (/.f64 #s(literal 1 binary64) x)) |
(/ (* x (* z (- (pow y 2) 1))) (+ 1 y)) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y)))) |
(*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 x z)) z) |
(* x (* z (- y 1))) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x) |
(* z (+ (* x (- y 1)) (/ x z))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x (/.f64 x z)) z) |
(* z (- (+ y (/ 1 z)) 1)) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(/ 1 (* x (* z (- y 1)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) z) |
(/ (- (/ 1 (* x (- y 1))) (/ 1 (* x (* z (pow (- y 1) 2))))) z) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) z) x))) z) |
(/ (- (+ (/ 1 (* x (* (pow z 2) (pow (- y 1) 3)))) (/ 1 (* x (- y 1)))) (/ 1 (* x (* z (pow (- y 1) 2))))) z) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) z) x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) x))) z) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) x))) z) |
(/ (- (+ (/ 1 (* x (* (pow z 2) (pow (- y 1) 3)))) (/ 1 (* x (- y 1)))) (+ (/ 1 (* x (* z (pow (- y 1) 2)))) (/ 1 (* x (* (pow z 3) (pow (- y 1) 4)))))) z) |
(/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) z) x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) x))) z) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) x)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 4 binary64)))) z) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- (pow y 2) 1)) (+ 1 y)))))) |
(*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 x z)) z) |
(* -1 (* x (* z (- 1 y)))) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x (/.f64 x z)) z) |
(* -1 (* z (- 1 y))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) z) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x (/.f64 x z)) z) |
(* -1 (/ (- (/ 1 (* x (* z (pow (- y 1) 2)))) (/ 1 (* x (- y 1)))) z)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) z) x))) z) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (* z (pow (- y 1) 3)))) (/ 1 (* x (pow (- y 1) 2)))) z)) (/ 1 (* x (- y 1)))) z)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) z) x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) x))) z) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) x))) z) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (* z (pow (- y 1) 4)))) (/ 1 (* x (pow (- y 1) 3)))) z)) (/ 1 (* x (pow (- y 1) 2)))) z)) (/ 1 (* x (- y 1)))) z)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 4 binary64)) z) x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) x))) z)) z) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) x))) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 174 |
| 0 | 46 | 170 |
| 1 | 174 | 160 |
| 2 | 1212 | 160 |
| 0 | 8529 | 155 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal -1 binary64))) z x) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) x) |
(fma.f64 y y #s(literal -1 binary64)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
#s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z)))) |
#s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z))) |
#s(approx (* (- y 1) z) (neg.f64 z)) |
(neg.f64 z) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* x (- y 1)) (*.f64 x y)) z x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* x (- y 1)) (*.f64 x y)) z x)) |
(fma.f64 #s(approx (* x (- y 1)) (*.f64 x y)) z x) |
#s(approx (* x (- y 1)) (*.f64 x y)) |
(-.f64 y #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x y x) #s(literal 1 binary64)) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x y x) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) |
(*.f64 (/.f64 (fma.f64 x y x) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x y x) (-.f64 y #s(literal -1 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) |
(*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 x (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) |
(*.f64 (/.f64 x (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal 1 binary64)) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 x (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) (pow.f64 (fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x) (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 y #s(literal -1 binary64))))) |
(*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) |
(*.f64 (*.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal -1 binary64)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (-.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (-.f64 y #s(literal -1 binary64)))) |
(*.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x (-.f64 y #s(literal -1 binary64))))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 x (-.f64 y #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) x)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x y) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)))) (-.f64 (*.f64 x y) (*.f64 x #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (*.f64 x y) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x y) (neg.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (*.f64 x y) (-.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x y) (*.f64 x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 y #s(literal -1 binary64))))) (neg.f64 (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 y #s(literal -1 binary64))))) (neg.f64 (fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 y #s(literal -1 binary64))))) |
(/.f64 (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) (fma.f64 y y #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 y #s(literal -1 binary64)))) (fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) x) (*.f64 (fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 y #s(literal -1 binary64)))) |
(/.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (-.f64 y #s(literal -1 binary64)) x)) |
(/.f64 (*.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 y #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 y #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 y #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal -1 binary64))) |
(/.f64 x (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) x))) |
(neg.f64 (*.f64 (/.f64 x #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) y)) |
(fma.f64 (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) y (*.f64 (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 y y #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 y))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 y y) (*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 y y))) |
(fma.f64 (*.f64 (*.f64 y y) x) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
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(fma.f64 #s(literal -1 binary64) (neg.f64 y) #s(literal 1 binary64)) |
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
(-.f64 (/.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal -1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (neg.f64 y)) |
(-.f64 y #s(literal -1 binary64)) |
(+.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 y (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (*.f64 y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 y #s(literal -1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) y)) |
(+.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 y #s(literal -1 binary64)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 y y))) |
(+.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 y #s(literal 1 binary64)) |
Compiled 19 541 to 2 727 computations (86% saved)
13 alts after pruning (3 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 745 | 3 | 748 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 7 | 7 |
| Total | 747 | 13 | 760 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.6% | (fma.f64 (fma.f64 y x (neg.f64 x)) z x) |
| 57.8% | (fma.f64 (/.f64 (*.f64 #s(approx (+ (* y y) -1) (*.f64 y y)) x) (-.f64 y #s(literal -1 binary64))) z x) | |
| ✓ | 95.5% | (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) |
| ✓ | 73.6% | (fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x) |
| 34.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (- y 1)) z) x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) z)) y) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y))) | |
| 36.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (- y 1)) z) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) x)))) | |
| ✓ | 64.4% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
| ✓ | 58.6% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) |
| ✓ | 36.4% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
| ✓ | 27.9% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z)))) |
| ✓ | 39.3% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
| ✓ | 40.1% | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) |
| ✓ | 39.6% | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) |
Compiled 518 to 251 computations (51.5% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z)))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
(fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) |
(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z x) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) |
(fma.f64 (fma.f64 y x (neg.f64 x)) z x) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
(fma.f64 (/.f64 (*.f64 #s(approx (+ (* y y) -1) (*.f64 y y)) x) (-.f64 y #s(literal -1 binary64))) z x) |
(fma.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal -1 binary64))) z x) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (- y 1)) z) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) x)))) |
(*.f64 x (fma.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* x (- y 1)) (*.f64 x y)) z x))) |
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) z x) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (- y 1)) z) x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) z)) y) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z (neg.f64 y) z) #s(literal 2 binary64))) x))) |
| Outputs |
|---|
(fma.f64 (fma.f64 y x (neg.f64 x)) z x) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) |
7 calls:
| 16.0ms | y |
| 9.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 6.0ms | z |
| 6.0ms | x |
| 6.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | x |
| 96.6% | 1 | y |
| 99.9% | 3 | z |
| 98.4% | 2 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 98.4% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 98.4% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 96.6% | 1 | (-.f64 #s(literal 1 binary64) y) |
Compiled 27 to 35 computations (-29.6% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z)))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
(fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) |
(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z x) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) |
| Outputs |
|---|
(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z x) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z)))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
(fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) |
(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z x) |
| Outputs |
|---|
(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z x) |
7 calls:
| 54.0ms | y |
| 3.0ms | x |
| 3.0ms | z |
| 3.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 3.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 1 | y |
| 96.6% | 1 | (-.f64 #s(literal 1 binary64) y) |
| 96.6% | 1 | z |
| 96.6% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 96.6% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 96.6% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 96.6% | 1 | x |
Compiled 27 to 35 computations (-29.6% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z)))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
(fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) |
| Outputs |
|---|
(fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
(fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x) |
7 calls:
| 4.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 3.0ms | z |
| 3.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.2% | 2 | x |
| 95.9% | 3 | y |
| 91.3% | 3 | z |
| 89.1% | 4 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 97.5% | 4 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 97.5% | 4 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 95.9% | 3 | (-.f64 #s(literal 1 binary64) y) |
Compiled 27 to 35 computations (-29.6% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z)))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
| Outputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) |
6 calls:
| 16.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 3.0ms | z |
| 2.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 2.0ms | y |
| 2.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.7% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 71.1% | 3 | z |
| 83.0% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 83.0% | 3 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 85.1% | 3 | y |
| 85.1% | 3 | (-.f64 #s(literal 1 binary64) y) |
Compiled 26 to 32 computations (-23.1% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z)))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) |
| Outputs |
|---|
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) |
2 calls:
| 2.0ms | y |
| 2.0ms | (-.f64 #s(literal 1 binary64) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.8% | 3 | (-.f64 #s(literal 1 binary64) y) |
| 84.8% | 3 | y |
Compiled 4 to 8 computations (-100% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z)))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
| Outputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
7 calls:
| 24.0ms | (-.f64 #s(literal 1 binary64) y) |
| 2.0ms | y |
| 2.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 2.0ms | x |
| 2.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.4% | 1 | z |
| 64.4% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 64.4% | 1 | x |
| 64.4% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 64.4% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 64.4% | 1 | (-.f64 #s(literal 1 binary64) y) |
| 64.4% | 1 | y |
Compiled 27 to 35 computations (-29.6% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z)))) |
| Outputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z)))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z)))) |
7 calls:
| 1.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 1.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 1.0ms | z |
| 1.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 1.0ms | (-.f64 #s(literal 1 binary64) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.4% | 3 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 57.3% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 63.4% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 41.5% | 2 | x |
| 43.0% | 3 | y |
| 39.3% | 1 | (-.f64 #s(literal 1 binary64) y) |
| 63.5% | 3 | z |
Compiled 27 to 35 computations (-29.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
6 calls:
| 61.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 1.0ms | y |
| 1.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 1.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.3% | 1 | x |
| 39.3% | 1 | y |
| 39.3% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 39.3% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 39.3% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 39.3% | 1 | z |
Compiled 24 to 30 computations (-25% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 3.538428717642268e-39 | 2.0742827215739734e-36 |
| 6.0ms | 128× | 0 | valid |
Compiled 140 to 134 computations (4.3% saved)
ival-mult: 2.0ms (63.8% of total)ival-sub: 1.0ms (31.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.538428717642268e-39 | 2.0742827215739734e-36 |
Compiled 140 to 142 computations (-1.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000224928715873 | 4.215895039282401 |
| 0.0ms | -2070495.086591153 | 0.9999914198005834 |
Compiled 12 to 15 computations (-25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 8.580199416625934e-6 | 2070496.086591153 |
| 67.0ms | -2.816115072380967e+167 | -1.7064527065407539e+165 |
| 13.0ms | 272× | 0 | valid |
Compiled 474 to 415 computations (12.4% saved)
ival-sub: 3.0ms (46.4% of total)ival-mult: 3.0ms (46.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 55.0ms | 8.580199416625934e-6 | 2070496.086591153 |
| 8.0ms | -4.262548178740029e+147 | -9.543158572840244e+146 |
| 4.0ms | 96× | 0 | valid |
Compiled 460 to 398 computations (13.5% saved)
ival-sub: 1.0ms (45.1% of total)ival-mult: 1.0ms (45.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 15915.715715240587 | 4731103609.026543 |
| 3.0ms | -2.28103542464652e-10 | -2.0046475632874686e-10 |
| 8.0ms | 176× | 0 | valid |
Compiled 331 to 289 computations (12.7% saved)
ival-sub: 2.0ms (48.4% of total)ival-mult: 2.0ms (48.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 234 |
| 1 | 99 | 234 |
| 2 | 156 | 234 |
| 3 | 280 | 234 |
| 4 | 704 | 234 |
| 5 | 1323 | 234 |
| 6 | 2661 | 234 |
| 7 | 5970 | 234 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 x #s(literal 3591786423904427/47890485652059026823698344598447161988085597568237568 binary64)) (fma.f64 (fma.f64 y x (neg.f64 x)) z x) (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)) |
(if (<=.f64 x #s(literal 3591786423904427/47890485652059026823698344598447161988085597568237568 binary64)) (fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z x) (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)) |
(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z x) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2000000 binary64)) (fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) (fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x))) |
(if (<=.f64 y #s(literal -1749999999999999977547498285840248779526819238339655995744760751265822631998110374084774954575955221722298101837740891382464414058990446150930863942190227100478210048 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) (if (<=.f64 y #s(literal 850000 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)))) |
(if (<=.f64 y #s(literal -960000000000000078249008946721358334680595293577208968703267896639759435769931361957876679199952423163660252451278073380585895871165914889983098880 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) (if (<=.f64 y #s(literal 850000 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
(if (<=.f64 z #s(literal -4352132950612665/19342813113834066795298816 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z)))) (if (<=.f64 z #s(literal 16000 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z)))))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
| Outputs |
|---|
(if (<=.f64 x #s(literal 3591786423904427/47890485652059026823698344598447161988085597568237568 binary64)) (fma.f64 (fma.f64 y x (neg.f64 x)) z x) (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)) |
(if (<=.f64 x #s(literal 3591786423904427/47890485652059026823698344598447161988085597568237568 binary64)) (fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z x) (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)) |
(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z x) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2000000 binary64)) (fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) (fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x))) |
(if (or (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2000000 binary64)) (not (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))) |
(if (<=.f64 y #s(literal -1749999999999999977547498285840248779526819238339655995744760751265822631998110374084774954575955221722298101837740891382464414058990446150930863942190227100478210048 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) (if (<=.f64 y #s(literal 850000 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)))) |
(if (<=.f64 y #s(literal -960000000000000078249008946721358334680595293577208968703267896639759435769931361957876679199952423163660252451278073380585895871165914889983098880 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) (if (<=.f64 y #s(literal 850000 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)))) |
(if (or (<=.f64 y #s(literal -960000000000000078249008946721358334680595293577208968703267896639759435769931361957876679199952423163660252451278073380585895871165914889983098880 binary64)) (not (<=.f64 y #s(literal 850000 binary64)))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
(if (<=.f64 z #s(literal -4352132950612665/19342813113834066795298816 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z)))) (if (<=.f64 z #s(literal 16000 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z)))))) |
(if (or (<=.f64 z #s(literal -4352132950612665/19342813113834066795298816 binary64)) (not (<=.f64 z #s(literal 16000 binary64)))) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z)))) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 166 | 511 |
| 1 | 556 | 509 |
| 2 | 1644 | 509 |
| 3 | 3754 | 509 |
| 4 | 6942 | 509 |
| 0 | 8113 | 467 |
| 0 | 74 | 183 |
| 1 | 234 | 183 |
| 2 | 641 | 183 |
| 3 | 1500 | 183 |
| 4 | 4434 | 183 |
| 5 | 6734 | 183 |
| 6 | 7935 | 183 |
| 0 | 8204 | 170 |
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 46 | 24 |
| 2 | 332 | 24 |
| 3 | 3557 | 24 |
| 0 | 9466 | 22 |
| 0 | 30 | 136 |
| 0 | 50 | 124 |
| 1 | 196 | 124 |
| 2 | 1482 | 124 |
| 0 | 8896 | 121 |
| 0 | 166 | 469 |
| 1 | 534 | 463 |
| 2 | 1467 | 461 |
| 3 | 4167 | 439 |
| 4 | 7008 | 439 |
| 0 | 8083 | 409 |
| 0 | 26 | 137 |
| 0 | 45 | 128 |
| 1 | 191 | 114 |
| 2 | 1433 | 114 |
| 0 | 9722 | 108 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 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 348 to 178 computations (48.9% saved)
Compiled 636 to 224 computations (64.8% saved)
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