
Time bar (total: 6.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 9 to 9 computations (0% saved)
| 614.0ms | 8 256× | 0 | valid |
ival-mult: 190.0ms (68.1% of total)ival-sub: 76.0ms (27.2% of total)ival-true: 6.0ms (2.1% of total)exact: 5.0ms (1.8% of total)ival-assert: 3.0ms (1.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 9 | 0 | - | 0 | - | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 y z) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) | n*o | 9 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 9 | 0 |
| - | 0 | 247 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 9 | 0 | 0 |
| - | 0 | 0 | 247 |
| number | freq |
|---|---|
| 0 | 247 |
| 1 | 9 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 42.0ms | 512× | 0 | valid |
Compiled 49 to 25 computations (49% saved)
ival-mult: 25.0ms (87.4% of total)ival-sub: 2.0ms (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 | 28 | 70 |
| 1 | 66 | 65 |
| 2 | 158 | 63 |
| 3 | 317 | 63 |
| 4 | 600 | 63 |
| 5 | 805 | 63 |
| 6 | 990 | 63 |
| 7 | 1138 | 63 |
| 8 | 1177 | 63 |
| 9 | 1177 | 63 |
| 0 | 7 | 7 |
| 0 | 10 | 7 |
| 1 | 17 | 7 |
| 2 | 32 | 7 |
| 3 | 69 | 7 |
| 4 | 165 | 7 |
| 5 | 341 | 7 |
| 6 | 431 | 7 |
| 7 | 512 | 7 |
| 8 | 548 | 7 |
| 0 | 548 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(negabs x)
(sort y z)
Compiled 7 to 7 computations (0% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.6% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
Compiled 7 to 7 computations (0% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) | |
| cost-diff | 0 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 0 | 10 | 19 |
| 1 | 17 | 19 |
| 2 | 32 | 19 |
| 3 | 69 | 19 |
| 4 | 165 | 19 |
| 5 | 341 | 19 |
| 6 | 431 | 19 |
| 7 | 512 | 19 |
| 8 | 548 | 19 |
| 0 | 548 | 19 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
#s(literal 1 binary64) |
(*.f64 y z) |
y |
z |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
#s(literal 1 binary64) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) | |
| accuracy | 0.0 | (*.f64 y z) | |
| accuracy | 2.1768389554887535 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 12.0ms | 256× | 0 | valid |
Compiled 21 to 9 computations (57.1% saved)
ival-mult: 3.0ms (61.9% of total)ival-sub: 1.0ms (20.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(*.f64 y z) |
| Outputs |
|---|
(* x (- 1 (* y z))) |
x |
(+ x (* -1 (* x (* y z)))) |
1 |
(+ 1 (* -1 (* y z))) |
(* y z) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* -1 (* y z)) |
(* y (- (/ 1 y) z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* y (+ (* -1 z) (/ 1 y))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (- (/ 1 z) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* z (+ (* -1 y) (/ 1 z))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | ((* x (- 1 (* y z))) (- 1 (* y z)) (* y z)) |
| 1.0ms | y | @ | 0 | ((* x (- 1 (* y z))) (- 1 (* y z)) (* y z)) |
| 1.0ms | x | @ | 0 | ((* x (- 1 (* y z))) (- 1 (* y z)) (* y z)) |
| 1.0ms | z | @ | -inf | ((* x (- 1 (* y z))) (- 1 (* y z)) (* y z)) |
| 1.0ms | y | @ | -inf | ((* x (- 1 (* y z))) (- 1 (* y z)) (* y z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 82 |
| 1 | 144 | 82 |
| 2 | 379 | 82 |
| 3 | 1023 | 82 |
| 4 | 2458 | 82 |
| 5 | 5906 | 82 |
| 6 | 7796 | 82 |
| 0 | 8434 | 82 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (- 1 (* y z))) |
x |
(+ x (* -1 (* x (* y z)))) |
1 |
(+ 1 (* -1 (* y z))) |
(* y z) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* -1 (* y z)) |
(* y (- (/ 1 y) z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* y (+ (* -1 z) (/ 1 y))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (- (/ 1 z) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* z (+ (* -1 y) (/ 1 z))) |
| Outputs |
|---|
(* x (- 1 (* y z))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y))) |
x |
(+ x (* -1 (* x (* y z)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y z))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* y z) |
(*.f64 z y) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y))) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* y (- (/ 1 y) z)) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y))) |
(* y (+ (* -1 z) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y))) |
(* z (- (/ 1 z) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y))) |
(* z (+ (* -1 y) (/ 1 z))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 0 | 10 | 15 |
| 1 | 31 | 15 |
| 2 | 178 | 15 |
| 3 | 1456 | 15 |
| 0 | 9033 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(*.f64 y z) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (/.f64 x (fma.f64 (neg.f64 y) z #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))))) (/.f64 x (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))) (/.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 y) z #s(literal -1 binary64))) |
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))) |
(*.f64 (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (fma.f64 z y #s(literal 1 binary64))) |
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (fma.f64 z y #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x) (+.f64 (pow.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 z y #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 z y #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)) (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)))) (+.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 y) z) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (neg.f64 y) z) x) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 x x) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 z y) x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)) (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)) (*.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) x) x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x)) (fma.f64 z y #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) x)) (neg.f64 (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (fma.f64 z y #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (neg.f64 y) z) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 (neg.f64 y) z) x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) z) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 y) z) x) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 (neg.f64 y) z) x)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x))) (fma.f64 z y #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (fma.f64 (neg.f64 y) z #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) x) (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) z #s(literal -1 binary64))) |
(/.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (neg.f64 y) z) x) #s(literal 2 binary64))) (+.f64 x (*.f64 (*.f64 z y) x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (neg.f64 y) z) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 (neg.f64 y) z) x))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) z) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 y) z) x) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 (neg.f64 y) z) x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x)) (fma.f64 (neg.f64 y) z #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (fma.f64 z y #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) z #s(literal -1 binary64))) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (fma.f64 z y #s(literal 1 binary64)))) |
(fma.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) z #s(literal -1 binary64))) (/.f64 (*.f64 x (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (fma.f64 z y #s(literal 1 binary64)))) |
(fma.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (fma.f64 z y #s(literal 1 binary64)))) |
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(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y #s(literal 1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))) (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 z y)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (neg.f64 y) z) #s(literal 1 binary64)) |
(+.f64 (*.f64 z y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 z)) y)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) z)) |
(+.f64 #s(literal 1 binary64) (*.f64 z y)) |
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z y) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 y))) |
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 z))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))) (fabs.f64 z)) |
(*.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) z)) (fabs.f64 y)) |
(*.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) y)) (fabs.f64 z)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) z) z)) (sqrt.f64 (neg.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 y) z)) (sqrt.f64 (*.f64 (neg.f64 y) z))) |
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (*.f64 z (*.f64 (neg.f64 y) z)))) |
(*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) z)))) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (*.f64 y y) z))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 z z) y)) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 z z) y))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 y))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 z))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (fabs.f64 z) (fabs.f64 y)) |
(*.f64 (fabs.f64 y) (fabs.f64 z)) |
(*.f64 (*.f64 z y) #s(literal 1 binary64)) |
(*.f64 z y) |
(*.f64 y z) |
(*.f64 #s(literal 1 binary64) (*.f64 z y)) |
(pow.f64 (*.f64 (neg.f64 y) z) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 z y) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) z)) |
(sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 (neg.f64 y) z)) |
(fabs.f64 (*.f64 z y)) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 z y))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 z y))) (sinh.f64 (log.f64 (*.f64 z y)))) |
Compiled 11 122 to 1 216 computations (89.1% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 385 | 6 | 391 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 386 | 6 | 392 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.6% | (fma.f64 (*.f64 (neg.f64 y) z) x x) |
| ▶ | 93.2% | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
| ▶ | 94.7% | (fma.f64 (*.f64 x z) (neg.f64 y) x) |
| 27.8% | (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)) (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)) (*.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)))))) | |
| ▶ | 43.6% | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) |
| ▶ | 55.0% | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
Compiled 166 to 104 computations (37.3% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 x (neg.f64 y)) | |
| cost-diff | 0 | (fma.f64 (*.f64 x (neg.f64 y)) z x) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 x z) | |
| cost-diff | 0 | (fma.f64 (*.f64 x z) (neg.f64 y) x) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) z) | |
| cost-diff | 0 | #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) | |
| cost-diff | 0 | #s(approx (- 1 (* y z)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) z) | |
| cost-diff | 0 | (fma.f64 (*.f64 (neg.f64 y) z) x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 96 |
| 0 | 29 | 96 |
| 1 | 53 | 96 |
| 2 | 98 | 96 |
| 3 | 163 | 96 |
| 4 | 221 | 96 |
| 5 | 303 | 96 |
| 6 | 513 | 96 |
| 7 | 665 | 96 |
| 8 | 718 | 96 |
| 9 | 727 | 96 |
| 0 | 727 | 96 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (neg.f64 y) z) x x) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
x |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
x |
#s(approx (- 1 (* y z)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) |
x |
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
(fma.f64 (*.f64 x z) (neg.f64 y) x) |
(*.f64 x z) |
x |
z |
(neg.f64 y) |
y |
(fma.f64 (*.f64 x (neg.f64 y)) z x) |
(*.f64 x (neg.f64 y)) |
x |
(neg.f64 y) |
y |
z |
| Outputs |
|---|
(fma.f64 (*.f64 (neg.f64 y) z) x x) |
(*.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) x) |
(*.f64 (neg.f64 y) z) |
(*.f64 z (neg.f64 y)) |
(neg.f64 y) |
y |
z |
x |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- 1 (* y z)) #s(literal 1 binary64)) x) |
x |
#s(approx (- 1 (* y z)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) |
(*.f64 #s(approx (- 1 (* y z)) (*.f64 z (neg.f64 y))) x) |
x |
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)) |
#s(approx (- 1 (* y z)) (*.f64 z (neg.f64 y))) |
(*.f64 (neg.f64 y) z) |
(*.f64 z (neg.f64 y)) |
(neg.f64 y) |
y |
z |
(fma.f64 (*.f64 x z) (neg.f64 y) x) |
(*.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) x) |
(*.f64 x z) |
x |
z |
(neg.f64 y) |
y |
(fma.f64 (*.f64 x (neg.f64 y)) z x) |
(*.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) x) |
(*.f64 x (neg.f64 y)) |
x |
(neg.f64 y) |
y |
z |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x (neg.f64 y)) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 4.332769196778566 | (fma.f64 (*.f64 x (neg.f64 y)) z x) | |
| accuracy | 0.0 | (*.f64 x z) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 3.377222088656095 | (fma.f64 (*.f64 x z) (neg.f64 y) x) | |
| accuracy | 0.0 | (*.f64 (neg.f64 y) z) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 2.1768389554887535 | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) | |
| accuracy | 34.16810063634669 | #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)) | |
| accuracy | 2.1768389554887535 | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) | |
| accuracy | 28.990214852012546 | #s(approx (- 1 (* y z)) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 (neg.f64 y) z) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 2.1729327054887535 | (fma.f64 (*.f64 (neg.f64 y) z) x x) |
| 62.0ms | 256× | 0 | valid |
Compiled 87 to 19 computations (78.2% saved)
ival-sub: 32.0ms (64.5% of total)ival-mult: 13.0ms (26.2% of total)ival-add: 3.0ms (6% of total)ival-neg: 1.0ms (2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 (neg.f64 y) z) x x) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (- 1 (* y z)) #s(literal 1 binary64)) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) |
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)) |
(fma.f64 (*.f64 x z) (neg.f64 y) x) |
(*.f64 x z) |
(fma.f64 (*.f64 x (neg.f64 y)) z x) |
(*.f64 x (neg.f64 y)) |
| Outputs |
|---|
(* x (+ 1 (* -1 (* y z)))) |
(* x (- 1 (* y z))) |
(* x z) |
(* -1 (* x y)) |
(* -1 (* x (- (* y z) 1))) |
x |
(+ x (* -1 (* x (* y z)))) |
(* -1 (* y z)) |
(* -1 y) |
1 |
(+ 1 (* -1 (* y z))) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (- (/ 1 y) z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* y (+ (* -1 z) (/ 1 y))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (- (/ 1 z) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* z (+ (* -1 y) (/ 1 z))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | ((+ (* (* (neg y) z) x) x) (* (neg y) z) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (+ (* (* x (neg y)) z) x) (* x (neg y))) |
| 2.0ms | x | @ | 0 | ((+ (* (* (neg y) z) x) x) (* (neg y) z) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (+ (* (* x (neg y)) z) x) (* x (neg y))) |
| 2.0ms | x | @ | inf | ((+ (* (* (neg y) z) x) x) (* (neg y) z) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (+ (* (* x (neg y)) z) x) (* x (neg y))) |
| 2.0ms | y | @ | inf | ((+ (* (* (neg y) z) x) x) (* (neg y) z) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (+ (* (* x (neg y)) z) x) (* x (neg y))) |
| 1.0ms | x | @ | -inf | ((+ (* (* (neg y) z) x) x) (* (neg y) z) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (+ (* (* x (neg y)) z) x) (* x (neg y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 102 |
| 1 | 159 | 102 |
| 2 | 406 | 102 |
| 3 | 1046 | 102 |
| 4 | 2135 | 102 |
| 5 | 4263 | 102 |
| 6 | 4909 | 102 |
| 7 | 5175 | 102 |
| 8 | 5273 | 102 |
| 9 | 5279 | 102 |
| 10 | 5641 | 102 |
| 11 | 6110 | 102 |
| 12 | 6722 | 102 |
| 13 | 6734 | 102 |
| 14 | 6734 | 102 |
| 15 | 6862 | 102 |
| 16 | 6994 | 102 |
| 17 | 6994 | 102 |
| 18 | 7208 | 102 |
| 19 | 7208 | 102 |
| 20 | 7208 | 102 |
| 21 | 7208 | 102 |
| 0 | 8877 | 102 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (* -1 (* y z)))) |
(* x (- 1 (* y z))) |
(* x z) |
(* -1 (* x y)) |
(* -1 (* x (- (* y z) 1))) |
x |
(+ x (* -1 (* x (* y z)))) |
(* -1 (* y z)) |
(* -1 y) |
1 |
(+ 1 (* -1 (* y z))) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (- (/ 1 y) z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* y (+ (* -1 z) (/ 1 y))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (- (/ 1 z) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* z (+ (* -1 y) (/ 1 z))) |
| Outputs |
|---|
(* x (+ 1 (* -1 (* y z)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y))) |
(* x (- 1 (* y z))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y))) |
(* x z) |
(*.f64 x z) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x (- (* y z) 1))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y))) |
x |
(+ x (* -1 (* x (* y z)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y))) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* -1 y) |
(neg.f64 y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y z))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* -1 (* x (* y z))) |
(*.f64 x (*.f64 (neg.f64 z) y)) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y))) |
(* y (- (/ 1 y) z)) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y))) |
(* y (+ (* -1 z) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y))) |
(* z (- (/ 1 z) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y))) |
(* z (+ (* -1 y) (/ 1 z))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 72 |
| 0 | 29 | 72 |
| 1 | 105 | 72 |
| 2 | 435 | 72 |
| 3 | 4229 | 72 |
| 0 | 8683 | 65 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (neg.f64 y) z) x x) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (- 1 (* y z)) #s(literal 1 binary64)) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) |
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)) |
(fma.f64 (*.f64 x z) (neg.f64 y) x) |
(*.f64 x z) |
(fma.f64 (*.f64 x (neg.f64 y)) z x) |
(*.f64 x (neg.f64 y)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x))) #s(literal 2 binary64))) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) x) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x))) (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) #s(literal 2 binary64))) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x))))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) x) (/.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) (/.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x))) |
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(fma.f64 (*.f64 z (neg.f64 y)) (neg.f64 x) x) |
(fma.f64 (*.f64 z (neg.f64 y)) x (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 z (neg.f64 y)) x (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 z (neg.f64 y)) x x) |
(fma.f64 z (/.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) z) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x)) (*.f64 x (/.f64 x (*.f64 (fma.f64 z y #s(literal 1 binary64)) x)))) |
(fma.f64 z (*.f64 x y) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 z (*.f64 x y) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 z (*.f64 x y) x) |
(fma.f64 z (*.f64 x (neg.f64 y)) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 z (*.f64 x (neg.f64 y)) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 z (*.f64 x (neg.f64 y)) x) |
(fma.f64 (neg.f64 y) (/.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (neg.f64 y)) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x)) (*.f64 x (/.f64 x (*.f64 (fma.f64 z y #s(literal 1 binary64)) x)))) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 z) x) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 z) x) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 z) x) x) |
(fma.f64 (neg.f64 y) (*.f64 x z) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (neg.f64 y) (*.f64 x z) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (neg.f64 y) (*.f64 x z) x) |
(fma.f64 y (*.f64 (neg.f64 z) x) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (*.f64 (neg.f64 z) x) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 y (*.f64 (neg.f64 z) x) x) |
(fma.f64 y (*.f64 x z) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (*.f64 x z) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 y (*.f64 x z) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 3 binary64)) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x))))) |
(-.f64 (*.f64 x (/.f64 x (*.f64 (fma.f64 z y #s(literal 1 binary64)) x))) (/.f64 (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64)) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64)) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x)) (*.f64 x (/.f64 x (*.f64 (fma.f64 z y #s(literal 1 binary64)) x)))) |
(-.f64 (*.f64 (*.f64 x z) y) x) |
(-.f64 x (*.f64 (*.f64 x z) y)) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x z) y)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 x z) y)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)))) (/.f64 (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 3 binary64)) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 3 binary64)) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) x (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64)) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x)) (*.f64 x (/.f64 x (*.f64 (fma.f64 z y #s(literal 1 binary64)) x)))) |
(+.f64 (*.f64 (*.f64 x z) y) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 (*.f64 x z) y) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 x z) y) x) |
(+.f64 x (*.f64 (neg.f64 (*.f64 (neg.f64 z) x)) (neg.f64 y))) |
(+.f64 x (*.f64 (neg.f64 (neg.f64 x)) (*.f64 z (neg.f64 y)))) |
(+.f64 x (*.f64 (neg.f64 (neg.f64 z)) (*.f64 x (neg.f64 y)))) |
(+.f64 x (*.f64 (*.f64 x z) y)) |
(*.f64 (neg.f64 x) y) |
(*.f64 x (neg.f64 y)) |
(*.f64 (neg.f64 y) x) |
(*.f64 y (neg.f64 x)) |
(neg.f64 (*.f64 x y)) |
Compiled 6 986 to 753 computations (89.2% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 431 | 1 | 432 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 432 | 6 | 438 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.6% | (fma.f64 (*.f64 (neg.f64 y) z) x x) |
| ✓ | 93.2% | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
| ✓ | 94.7% | (fma.f64 (*.f64 x z) (neg.f64 y) x) |
| ▶ | 69.9% | (fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y))) x) |
| ✓ | 43.6% | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) |
| ✓ | 55.0% | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
Compiled 56 to 47 computations (16.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y)) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 49 |
| 0 | 18 | 49 |
| 1 | 29 | 49 |
| 2 | 64 | 49 |
| 3 | 133 | 49 |
| 4 | 239 | 49 |
| 5 | 624 | 49 |
| 6 | 1589 | 49 |
| 7 | 2045 | 49 |
| 8 | 2121 | 49 |
| 9 | 2125 | 49 |
| 10 | 2127 | 49 |
| 11 | 2127 | 49 |
| 12 | 2127 | 49 |
| 0 | 2127 | 49 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y))) x) |
(sqrt.f64 x) |
x |
(sqrt.f64 (*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y))) |
(*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y)) |
(*.f64 z y) |
z |
y |
(*.f64 (*.f64 x z) y) |
(*.f64 x z) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y))) x) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) x) (*.f64 y y))) (sqrt.f64 x) x) |
(sqrt.f64 x) |
x |
(sqrt.f64 (*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y))) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 z z) x) (*.f64 y y))) |
(*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y)) |
(*.f64 (*.f64 (*.f64 z z) x) (*.f64 y y)) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
(*.f64 (*.f64 x z) y) |
(*.f64 (*.f64 z x) y) |
(*.f64 x z) |
(*.f64 z x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.125 | (*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y)) | |
| accuracy | 0.7805513458044682 | (fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y))) x) | |
| accuracy | 3.9495079985149424 | (*.f64 (*.f64 x z) y) | |
| accuracy | 18.750492412144602 | (sqrt.f64 (*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y))) |
| 20.0ms | 256× | 0 | valid |
Compiled 52 to 13 computations (75% saved)
ival-mult: 7.0ms (59.2% of total)ival-sqrt: 3.0ms (25.4% of total)ival-add: 1.0ms (8.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y))) x) |
(sqrt.f64 x) |
(sqrt.f64 (*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y))) |
(*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y)) |
(*.f64 (*.f64 x z) y) |
| Outputs |
|---|
(* x (+ 1 (* y z))) |
(sqrt x) |
(* (sqrt x) (* y z)) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* y z)) |
(* -1 (* x (- (* y (* z (pow (sqrt -1) 2))) 1))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (* y (* z (pow (sqrt -1) 2))))) |
x |
(+ x (* x (* y z))) |
(* y (+ (* x z) (/ x y))) |
(* -1 (* x (* y z))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* (sqrt x) (* y z))) |
(* z (+ (* x y) (/ x z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | z | @ | -inf | ((+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (sqrt x) (sqrt (* (* z y) (* (* x z) y))) (* (* z y) (* (* x z) y)) (* (* x z) y)) |
| 4.0ms | y | @ | 0 | ((+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (sqrt x) (sqrt (* (* z y) (* (* x z) y))) (* (* z y) (* (* x z) y)) (* (* x z) y)) |
| 4.0ms | x | @ | -inf | ((+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (sqrt x) (sqrt (* (* z y) (* (* x z) y))) (* (* z y) (* (* x z) y)) (* (* x z) y)) |
| 2.0ms | x | @ | 0 | ((+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (sqrt x) (sqrt (* (* z y) (* (* x z) y))) (* (* z y) (* (* x z) y)) (* (* x z) y)) |
| 2.0ms | y | @ | inf | ((+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (sqrt x) (sqrt (* (* z y) (* (* x z) y))) (* (* z y) (* (* x z) y)) (* (* x z) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 101 |
| 1 | 149 | 101 |
| 2 | 506 | 99 |
| 3 | 1401 | 93 |
| 4 | 3694 | 93 |
| 5 | 6404 | 93 |
| 0 | 8106 | 88 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (* y z))) |
(sqrt x) |
(* (sqrt x) (* y z)) |
(* x (* (pow y 2) (pow z 2))) |
(* x (* y z)) |
(* -1 (* x (- (* y (* z (pow (sqrt -1) 2))) 1))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (* y (* z (pow (sqrt -1) 2))))) |
x |
(+ x (* x (* y z))) |
(* y (+ (* x z) (/ x y))) |
(* -1 (* x (* y z))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* (sqrt x) (* y z))) |
(* z (+ (* x y) (/ x z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
| Outputs |
|---|
(* x (+ 1 (* y z))) |
(*.f64 x (fma.f64 y z #s(literal 1 binary64))) |
(sqrt x) |
(sqrt.f64 x) |
(* (sqrt x) (* y z)) |
(*.f64 (*.f64 (sqrt.f64 x) z) y) |
(* x (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 x (*.f64 z z)) y) y) |
(* x (* y z)) |
(*.f64 x (*.f64 y z)) |
(* -1 (* x (- (* y (* z (pow (sqrt -1) 2))) 1))) |
(*.f64 x (fma.f64 y z #s(literal 1 binary64))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (* y (* z (pow (sqrt -1) 2))))) |
(*.f64 (*.f64 (sqrt.f64 x) z) y) |
x |
(+ x (* x (* y z))) |
(*.f64 x (fma.f64 y z #s(literal 1 binary64))) |
(* y (+ (* x z) (/ x y))) |
(*.f64 x (fma.f64 y z #s(literal 1 binary64))) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 x) z) y) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(fma.f64 (*.f64 (neg.f64 z) y) x x) |
(* -1 (* (sqrt x) (* y z))) |
(*.f64 (*.f64 (sqrt.f64 x) z) (neg.f64 y)) |
(* z (+ (* x y) (/ x z))) |
(*.f64 x (fma.f64 y z #s(literal 1 binary64))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(fma.f64 (*.f64 (neg.f64 z) y) x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 40 |
| 0 | 18 | 40 |
| 1 | 50 | 40 |
| 2 | 267 | 29 |
| 3 | 2437 | 27 |
| 0 | 8731 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y))) x) |
(sqrt.f64 x) |
(sqrt.f64 (*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y))) |
(*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y)) |
(*.f64 (*.f64 x z) y) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z x) y x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 z x) y x) x) (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 z x) y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 z x) y x) #s(literal 2 binary64))) (fma.f64 (*.f64 z x) y x)) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 z x) y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 z x) y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 z x) y x) (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (*.f64 z x) y x) (/.f64 (fma.f64 (*.f64 z x) y x) (fma.f64 (*.f64 z x) y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z x) y x)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 z x) y x))) #s(literal 2 binary64)))) (fma.f64 (*.f64 z x) y x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (*.f64 z x) y x)) |
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 z x) y x) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 z x) y x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z x) y x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 z x) y x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z x) y x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 z x) y x)))))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z x) y x)) (*.f64 (fma.f64 (*.f64 z x) y x) (*.f64 x x)))) (pow.f64 (fma.f64 (*.f64 z x) y x) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) (*.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 z x) y x) x (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 z x) y x)) (*.f64 (fma.f64 (*.f64 z x) y x) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (*.f64 z x) y x) #s(literal 2 binary64))) |
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(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 x)) (sqrt.f64 (*.f64 (*.f64 z x) y)))) (sqrt.f64 (sqrt.f64 (*.f64 y z)))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 x)) (sqrt.f64 (*.f64 y z)))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 z x) y)))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 x)) (sqrt.f64 z))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 z x)) y))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 (*.f64 y z)))) (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 y z))))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z x) y) (*.f64 y x))) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 z x))) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) z) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3/2 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 z x) y)))) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 (*.f64 (*.f64 z x) y) y))) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 y x)) z)) (sqrt.f64 (*.f64 (sqrt.f64 y) (*.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 x))))) |
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 z x)) y) (*.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 x))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 y z) (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 y z) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 x))))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x) (sqrt.f64 x))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 z x) y))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 x))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 z x) y))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3/2 binary64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 (*.f64 y z))) (*.f64 (*.f64 z x) y)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z x) y)) (*.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 x))))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (*.f64 y z) (sqrt.f64 x)))) (sqrt.f64 (*.f64 (*.f64 y z) (sqrt.f64 x)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 y x)) z)) (sqrt.f64 y)) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (*.f64 z x) y))) (sqrt.f64 (*.f64 y z))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 (*.f64 z x) y))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 z)) (*.f64 (sqrt.f64 (*.f64 z x)) y)) |
(*.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y z) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (*.f64 x (sqrt.f64 (*.f64 y z)))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 z x) y))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 z x) y)))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 z x) y))) (sqrt.f64 (*.f64 (*.f64 z x) y))) |
(*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) z)) |
(*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 (*.f64 (*.f64 z x) x))) |
(*.f64 (*.f64 (*.f64 x (sqrt.f64 (*.f64 y z))) (sqrt.f64 z)) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 x))) (sqrt.f64 (*.f64 (*.f64 y z) (sqrt.f64 x)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 y z) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (*.f64 z x)) (*.f64 (sqrt.f64 (*.f64 z x)) y)) |
(*.f64 (*.f64 x (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z))) |
(*.f64 (*.f64 y x) z) |
(*.f64 (neg.f64 (*.f64 (*.f64 y z) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 y z) (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 y z) (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 y z) (sqrt.f64 x))) (sqrt.f64 (*.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 z) (*.f64 x (sqrt.f64 (*.f64 y z))))) |
(*.f64 (sqrt.f64 y) (*.f64 (*.f64 x (sqrt.f64 (*.f64 y z))) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 y x)) z) (sqrt.f64 (*.f64 y x))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 z x) y)) (neg.f64 (sqrt.f64 (*.f64 (*.f64 z x) y)))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 z x) y)) (sqrt.f64 (*.f64 (*.f64 z x) y))) |
(*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (*.f64 x (sqrt.f64 (*.f64 y z))))) |
(*.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (sqrt.f64 (*.f64 y z)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z x)) y) (sqrt.f64 (*.f64 z x))) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 z x) y)))) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (*.f64 (*.f64 (*.f64 z x) y) y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 (*.f64 y z))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 z x)) y) (sqrt.f64 x))) |
(*.f64 (*.f64 (*.f64 y z) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(*.f64 (*.f64 (*.f64 y z) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 z x) y) |
(*.f64 (*.f64 y z) x) |
(*.f64 y (fabs.f64 (*.f64 z x))) |
(*.f64 y (*.f64 z x)) |
(*.f64 z (sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 z (*.f64 y x)) |
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 (*.f64 y z) (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 y z) (sqrt.f64 x))) |
(*.f64 x (*.f64 y z)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)))) |
(pow.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 z x) y))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 8 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 (*.f64 z x) y)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (*.f64 z x) y) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (*.f64 z x) y)) |
(sqrt.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 (*.f64 z x) y)) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 z x) y))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 z x) y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 4 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (log.f64 (*.f64 (*.f64 z x) y))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 (*.f64 z x) y))) (sinh.f64 (log.f64 (*.f64 (*.f64 z x) y)))) |
Compiled 9 785 to 1 291 computations (86.8% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 422 | 2 | 424 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 5 | 5 |
| Total | 423 | 7 | 430 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.5% | (fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x) |
| ✓ | 96.6% | (fma.f64 (*.f64 (neg.f64 y) z) x x) |
| ✓ | 93.2% | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
| ✓ | 94.7% | (fma.f64 (*.f64 x z) (neg.f64 y) x) |
| ✓ | 43.6% | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) |
| ✓ | 55.0% | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
| ▶ | 43.8% | #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y)) |
Compiled 75 to 60 computations (20% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) (sqrt.f64 x)) | |
| cost-diff | 4 | (fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) z) | |
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 x) z) y) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 65 |
| 0 | 29 | 65 |
| 1 | 55 | 65 |
| 2 | 141 | 61 |
| 3 | 334 | 61 |
| 4 | 763 | 58 |
| 5 | 1597 | 58 |
| 6 | 2743 | 58 |
| 7 | 3241 | 58 |
| 8 | 3401 | 58 |
| 9 | 3447 | 58 |
| 10 | 3482 | 58 |
| 11 | 3482 | 58 |
| 12 | 3482 | 58 |
| 13 | 3492 | 58 |
| 14 | 3508 | 58 |
| 15 | 3518 | 58 |
| 16 | 3528 | 58 |
| 17 | 3533 | 58 |
| 18 | 3533 | 58 |
| 19 | 3533 | 54 |
| 20 | 5939 | 54 |
| 21 | 6571 | 54 |
| 22 | 7267 | 54 |
| 0 | 8271 | 53 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y)) |
(*.f64 (*.f64 (neg.f64 x) z) y) |
(*.f64 (neg.f64 x) z) |
(neg.f64 x) |
x |
z |
y |
(fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x) |
(*.f64 (*.f64 y z) (sqrt.f64 x)) |
(*.f64 y z) |
y |
z |
(sqrt.f64 x) |
x |
(neg.f64 (sqrt.f64 x)) |
| Outputs |
|---|
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y)) |
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (neg.f64 y) (*.f64 z x))) |
(*.f64 (*.f64 (neg.f64 x) z) y) |
(*.f64 (neg.f64 y) (*.f64 z x)) |
(*.f64 (neg.f64 x) z) |
(*.f64 (neg.f64 z) x) |
(neg.f64 x) |
x |
z |
y |
(fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x) |
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x) |
(*.f64 (*.f64 y z) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) y) z) |
(*.f64 y z) |
y |
z |
(sqrt.f64 x) |
x |
(neg.f64 (sqrt.f64 x)) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.0 | (neg.f64 (sqrt.f64 x)) | |
| accuracy | 0.7883638458044682 | (fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x) | |
| accuracy | 4.043507054712756 | (*.f64 (*.f64 y z) (sqrt.f64 x)) | |
| accuracy | 0.0 | (*.f64 (neg.f64 x) z) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 3.9495079985149424 | (*.f64 (*.f64 (neg.f64 x) z) y) | |
| accuracy | 47.32142174733121 | #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y)) |
| 61.0ms | 256× | 0 | valid |
Compiled 61 to 21 computations (65.6% saved)
ival-mult: 29.0ms (56.5% of total)ival-neg: 16.0ms (31.2% of total)ival-sqrt: 3.0ms (5.8% of total)ival-add: 2.0ms (3.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y)) |
(*.f64 (*.f64 (neg.f64 x) z) y) |
(*.f64 (neg.f64 x) z) |
(neg.f64 x) |
(fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x) |
(*.f64 (*.f64 y z) (sqrt.f64 x)) |
(*.f64 y z) |
(sqrt.f64 x) |
(neg.f64 (sqrt.f64 x)) |
| Outputs |
|---|
(* x (+ 1 (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x z)) |
(* -1 x) |
(* x (+ 1 (* -1 (* y z)))) |
(* (sqrt x) (* y z)) |
(sqrt x) |
(* -1 (sqrt x)) |
(* -1 (* x (- (* y (* z (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* -1 (* y (* z (pow (sqrt -1) 2)))) 1))) |
(* -1 (* (sqrt x) (* y (* z (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (sqrt x) (pow (sqrt -1) 2)) |
x |
(+ x (* x (* y z))) |
(+ x (* -1 (* x (* y z)))) |
(* y z) |
(* x (* y z)) |
(* y (+ (* x z) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* z (+ (* x y) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | z | @ | inf | ((+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (* (* (neg x) z) y) (* (neg x) z) (neg x) (+ (* (* (* y z) (sqrt x)) (neg (sqrt x))) x) (* (* y z) (sqrt x)) (* y z) (sqrt x) (neg (sqrt x))) |
| 2.0ms | x | @ | -inf | ((+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (* (* (neg x) z) y) (* (neg x) z) (neg x) (+ (* (* (* y z) (sqrt x)) (neg (sqrt x))) x) (* (* y z) (sqrt x)) (* y z) (sqrt x) (neg (sqrt x))) |
| 1.0ms | z | @ | -inf | ((+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (* (* (neg x) z) y) (* (neg x) z) (neg x) (+ (* (* (* y z) (sqrt x)) (neg (sqrt x))) x) (* (* y z) (sqrt x)) (* y z) (sqrt x) (neg (sqrt x))) |
| 1.0ms | x | @ | inf | ((+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (* (* (neg x) z) y) (* (neg x) z) (neg x) (+ (* (* (* y z) (sqrt x)) (neg (sqrt x))) x) (* (* y z) (sqrt x)) (* y z) (sqrt x) (neg (sqrt x))) |
| 1.0ms | y | @ | -inf | ((+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (* (* (neg x) z) y) (* (neg x) z) (neg x) (+ (* (* (* y z) (sqrt x)) (neg (sqrt x))) x) (* (* y z) (sqrt x)) (* y z) (sqrt x) (neg (sqrt x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 134 |
| 1 | 192 | 127 |
| 2 | 559 | 127 |
| 3 | 1532 | 127 |
| 4 | 4070 | 127 |
| 5 | 6212 | 127 |
| 6 | 7425 | 127 |
| 7 | 7803 | 127 |
| 0 | 8054 | 122 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x z)) |
(* -1 x) |
(* x (+ 1 (* -1 (* y z)))) |
(* (sqrt x) (* y z)) |
(sqrt x) |
(* -1 (sqrt x)) |
(* -1 (* x (- (* y (* z (pow (sqrt -1) 2))) 1))) |
(* -1 (* x (- (* -1 (* y (* z (pow (sqrt -1) 2)))) 1))) |
(* -1 (* (sqrt x) (* y (* z (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (sqrt x) (pow (sqrt -1) 2)) |
x |
(+ x (* x (* y z))) |
(+ x (* -1 (* x (* y z)))) |
(* y z) |
(* x (* y z)) |
(* y (+ (* x z) (/ x y))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* z (+ (* x y) (/ x z))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
| Outputs |
|---|
(* x (+ 1 (* y z))) |
(*.f64 (fma.f64 y z #s(literal 1 binary64)) x) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 z) (*.f64 y x)) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 x) |
(neg.f64 x) |
(* x (+ 1 (* -1 (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) |
(* (sqrt x) (* y z)) |
(*.f64 (*.f64 z (sqrt.f64 x)) y) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (sqrt x)) |
(neg.f64 (sqrt.f64 x)) |
(* -1 (* x (- (* y (* z (pow (sqrt -1) 2))) 1))) |
(*.f64 (fma.f64 y z #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (* y (* z (pow (sqrt -1) 2)))) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) |
(* -1 (* (sqrt x) (* y (* z (pow (sqrt -1) 2))))) |
(*.f64 (*.f64 z (sqrt.f64 x)) y) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 x)) |
x |
(+ x (* x (* y z))) |
(*.f64 (fma.f64 y z #s(literal 1 binary64)) x) |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) |
(* y z) |
(*.f64 y z) |
(* x (* y z)) |
(*.f64 (*.f64 y z) x) |
(* y (+ (* x z) (/ x y))) |
(*.f64 (fma.f64 y z #s(literal 1 binary64)) x) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) |
(* z (+ (* x y) (/ x z))) |
(*.f64 (fma.f64 y z #s(literal 1 binary64)) x) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 59 |
| 0 | 29 | 58 |
| 1 | 86 | 58 |
| 2 | 476 | 47 |
| 3 | 5447 | 47 |
| 0 | 8569 | 45 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y)) |
(*.f64 (*.f64 (neg.f64 x) z) y) |
(*.f64 (neg.f64 x) z) |
(neg.f64 x) |
(fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x) |
(*.f64 (*.f64 y z) (sqrt.f64 x)) |
(*.f64 y z) |
(sqrt.f64 x) |
(neg.f64 (sqrt.f64 x)) |
| Outputs |
|---|
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (neg.f64 y) (*.f64 z x))) |
(*.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 y z) #s(literal 1 binary64)))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) z)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)) z) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) z) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y z)))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y z)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (*.f64 z z) (*.f64 y x)))) (sqrt.f64 y)) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (*.f64 z x) y))) (sqrt.f64 (*.f64 y z))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 (*.f64 z x) y))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 z)) (*.f64 (pow.f64 y #s(literal 1 binary64)) (sqrt.f64 (*.f64 z x)))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (*.f64 (sqrt.f64 (*.f64 y z)) x)) |
(*.f64 (neg.f64 y) (*.f64 z x)) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 z x) y))) (sqrt.f64 (*.f64 (*.f64 z x) y))) |
(*.f64 (*.f64 (neg.f64 z) x) y) |
(*.f64 (*.f64 (neg.f64 x) y) z) |
(*.f64 (*.f64 y x) (neg.f64 z)) |
(*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 z (neg.f64 (sqrt.f64 x)))) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 x) z)) |
(*.f64 (neg.f64 z) (*.f64 y x)) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) z)) (sqrt.f64 x)) |
(*.f64 (*.f64 (neg.f64 y) z) x) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 y z) #s(literal 1 binary64)))) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) z)))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 z x) y)) (neg.f64 (sqrt.f64 (*.f64 (*.f64 z x) y)))) |
(*.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 y z)) x))) |
(*.f64 (*.f64 (sqrt.f64 x) z) (neg.f64 (*.f64 (sqrt.f64 x) y))) |
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) y) z)) |
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) z) (neg.f64 (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) z))) |
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 y z) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 x) (*.f64 y z)) |
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 y z) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x))) |
(*.f64 (*.f64 z x) (neg.f64 y)) |
(*.f64 (*.f64 y z) (neg.f64 x)) |
(*.f64 y (*.f64 (neg.f64 z) x)) |
(*.f64 z (*.f64 (neg.f64 x) y)) |
(*.f64 x (*.f64 (neg.f64 y) z)) |
(neg.f64 (*.f64 (*.f64 z x) y)) |
(*.f64 (*.f64 z (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (neg.f64 z) x) |
(*.f64 (*.f64 (sqrt.f64 x) z) (neg.f64 (sqrt.f64 x))) |
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) z)) |
(*.f64 (sqrt.f64 x) (*.f64 z (neg.f64 (sqrt.f64 x)))) |
(*.f64 (neg.f64 x) z) |
(*.f64 z (neg.f64 x)) |
(*.f64 x (neg.f64 z)) |
(neg.f64 (*.f64 z x)) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 x)))) |
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) |
(neg.f64 x) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 z x) y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 z x) y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x))) #s(literal 2 binary64))) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 z x) y x) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 z x) y x) x) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x))) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 z x) y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 z x) y x) #s(literal 2 binary64))) (fma.f64 (*.f64 z x) y x)) |
(*.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x))) (/.f64 (fma.f64 (*.f64 z x) y x) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x))))) |
(*.f64 (fma.f64 (*.f64 z x) y x) (/.f64 (fma.f64 (*.f64 z x) y x) (fma.f64 (*.f64 z x) y x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z x) y x)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 z x) y x))) #s(literal 2 binary64))) (fma.f64 (*.f64 z x) y x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x)))) #s(literal 2 binary64))) (fma.f64 (*.f64 z x) y x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z x) y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 z x) y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z x) y x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 z x) y x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z x) y x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 z x) y x))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x)))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z x) y x)) (*.f64 (fma.f64 (*.f64 z x) y x) (*.f64 x x))) (pow.f64 (fma.f64 (*.f64 z x) y x) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x))) (*.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x))) #s(literal 2 binary64))) |
(/.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 z x) y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 z x) y x) #s(literal 2 binary64)) (fma.f64 (*.f64 z x) y x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z x) y x) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 4 binary64))) (fma.f64 (*.f64 z x) y x))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 9 binary64))) (*.f64 (-.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x))))) |
(/.f64 (pow.f64 (fma.f64 (*.f64 z x) y x) #s(literal 2 binary64)) (fma.f64 (*.f64 z x) y x)) |
(neg.f64 (fma.f64 (*.f64 z x) y x)) |
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x))) (*.f64 x (/.f64 x (fma.f64 (*.f64 z x) y x)))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 z x) y x) #s(literal 2 binary64))) (fma.f64 (*.f64 z x) y x) (*.f64 x (/.f64 x (fma.f64 (*.f64 z x) y x)))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x))) #s(literal 2 binary64))) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 z x) y x) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 z x) y x) x) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x))) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x))) #s(literal 2 binary64))) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x))) (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 z x) y x) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 z x) y x) x) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x))) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x))))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) z) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x) x) |
(fma.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 y z) #s(literal 1 binary64)))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) x) |
(fma.f64 (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y z)))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y z))) x) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 y z) #s(literal 1 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) x) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) z)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) x) |
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)) z x) |
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 x)) z) (*.f64 (sqrt.f64 x) y) x) |
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y z)))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y z))) x) |
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (*.f64 z z) (*.f64 y x)))) (sqrt.f64 y) x) |
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (*.f64 z x) y))) (sqrt.f64 (*.f64 y z)) x) |
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 (*.f64 z x) y)) x) |
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 z)) (*.f64 (pow.f64 y #s(literal 1 binary64)) (sqrt.f64 (*.f64 z x))) x) |
(fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) z) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) x) |
(fma.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y)) z x) |
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (*.f64 (sqrt.f64 (*.f64 y z)) x) x) |
(fma.f64 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) y))) (*.f64 (sqrt.f64 x) z) x) |
(fma.f64 (neg.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) z))) (sqrt.f64 x) x) |
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 1 binary64)) x) |
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)) x) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 z) x) x) |
(fma.f64 (neg.f64 y) (*.f64 z x) x) |
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 z x) y))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 z x) y))) x) |
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 z x) y))) (sqrt.f64 (*.f64 (*.f64 z x) y)) x) |
(fma.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 z x) y))) (fabs.f64 (sqrt.f64 (*.f64 (*.f64 z x) y))) x) |
(fma.f64 (fabs.f64 (sqrt.f64 (*.f64 y z))) (fabs.f64 (*.f64 (sqrt.f64 (*.f64 y z)) x)) x) |
(fma.f64 (fabs.f64 (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 y z) #s(literal 1 binary64)))) (fabs.f64 (sqrt.f64 x)) x) |
(fma.f64 (fabs.f64 (neg.f64 (*.f64 (sqrt.f64 x) y))) (fabs.f64 (*.f64 (sqrt.f64 x) z)) x) |
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(fma.f64 (*.f64 z x) (neg.f64 y) x) |
(fma.f64 (*.f64 z x) y x) |
(fma.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 x (*.f64 y x)) z) (fma.f64 (*.f64 z x) y x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 z x) y x)))) |
(fma.f64 (*.f64 y z) (neg.f64 x) x) |
(fma.f64 (*.f64 y z) x x) |
(fma.f64 y (neg.f64 (*.f64 (neg.f64 z) x)) x) |
(fma.f64 y (*.f64 (neg.f64 z) x) x) |
(fma.f64 y (*.f64 z x) x) |
(fma.f64 z (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)) x) |
(fma.f64 z (neg.f64 (*.f64 (neg.f64 x) y)) x) |
(fma.f64 z (*.f64 (neg.f64 x) y) x) |
(fma.f64 z (*.f64 y x) x) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x) (fma.f64 (*.f64 z x) y x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 z x) y x)))) |
(fma.f64 x (/.f64 (*.f64 x x) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x)))) (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x))))) |
(fma.f64 x (pow.f64 (*.f64 y z) #s(literal 1 binary64)) x) |
(fma.f64 x (fabs.f64 (*.f64 y z)) x) |
(fma.f64 x (*.f64 (neg.f64 y) z) x) |
(fma.f64 x (*.f64 y z) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x))))) |
(-.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 z x) y x))) (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z x) y x))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z x) y x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 z x) y x)))) |
(-.f64 (*.f64 (*.f64 z x) y) x) |
(-.f64 (*.f64 (neg.f64 y) (*.f64 z x)) x) |
(-.f64 x (*.f64 (*.f64 z x) y)) |
(-.f64 x (*.f64 (neg.f64 y) (*.f64 z x))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x)))) (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x (fma.f64 (*.f64 z x) y x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z x) y x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 z x) y x)))) |
(+.f64 (*.f64 (*.f64 z x) y) x) |
(+.f64 (*.f64 (neg.f64 y) (*.f64 z x)) x) |
(+.f64 x (*.f64 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 y z) #s(literal 1 binary64))))) (sqrt.f64 x))) |
(+.f64 x (*.f64 (neg.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) z))) (neg.f64 (sqrt.f64 x)))) |
(+.f64 x (*.f64 (neg.f64 (*.f64 (neg.f64 y) z)) (neg.f64 x))) |
(+.f64 x (*.f64 (*.f64 z x) y)) |
(+.f64 x (*.f64 (neg.f64 y) (*.f64 z x))) |
(*.f64 (*.f64 (*.f64 y z) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) y) z) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 y z))) |
(*.f64 (*.f64 (sqrt.f64 x) z) y) |
(*.f64 (sqrt.f64 x) (*.f64 y z)) |
(*.f64 (*.f64 y z) (sqrt.f64 x)) |
(*.f64 y (*.f64 (sqrt.f64 x) z)) |
(*.f64 z (*.f64 (sqrt.f64 x) y)) |
(*.f64 y z) |
(*.f64 z y) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(neg.f64 (neg.f64 (sqrt.f64 x))) |
(sqrt.f64 x) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 x))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x)))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(neg.f64 (sqrt.f64 x)) |
Compiled 6 660 to 717 computations (89.2% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 321 | 2 | 323 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 5 | 5 |
| Total | 322 | 8 | 330 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.6% | (fma.f64 (*.f64 (neg.f64 y) z) x x) |
| ✓ | 93.2% | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
| ✓ | 94.7% | (fma.f64 (*.f64 x z) (neg.f64 y) x) |
| ✓ | 43.6% | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) |
| ✓ | 55.0% | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
| 45.7% | #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) z) (neg.f64 (sqrt.f64 x)))) | |
| ✓ | 43.8% | #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y)) |
| 44.2% | #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z)) |
Compiled 297 to 142 computations (52.2% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z)) |
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y)) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(fma.f64 (*.f64 x z) (neg.f64 y) x) |
(fma.f64 (*.f64 x (neg.f64 y)) z x) |
(fma.f64 (*.f64 (neg.f64 y) z) x x) |
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) z) (neg.f64 (sqrt.f64 x)))) |
(fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 z y) (*.f64 (*.f64 x z) y))) x) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)) (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)) (*.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)))))) |
| Outputs |
|---|
(fma.f64 (*.f64 (neg.f64 y) z) x x) |
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y)) |
6 calls:
| 5.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 4.0ms | z |
| 4.0ms | x |
| 4.0ms | y |
| 3.0ms | (*.f64 y z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 2 | (*.f64 y z) |
| 98.4% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| 98.4% | 2 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 96.6% | 1 | x |
| 96.6% | 1 | y |
| 98.4% | 2 | z |
Compiled 18 to 26 computations (-44.4% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z)) |
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y)) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(fma.f64 (*.f64 x z) (neg.f64 y) x) |
(fma.f64 (*.f64 x (neg.f64 y)) z x) |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y)) |
3 calls:
| 2.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 2.0ms | (*.f64 y z) |
| 2.0ms | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 2 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 98.4% | 2 | (*.f64 y z) |
| 98.4% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z)) |
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y)) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) |
| Outputs |
|---|
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y)) |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z)) |
6 calls:
| 2.0ms | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.8% | 3 | x |
| 80.2% | 3 | y |
| 80.8% | 3 | z |
| 84.8% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 95.3% | 3 | (*.f64 y z) |
| 95.3% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
Compiled 18 to 26 computations (-44.4% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z)) |
| Outputs |
|---|
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z)) |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z)) |
2 calls:
| 1.0ms | (*.f64 y z) |
| 1.0ms | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.9% | 3 | (*.f64 y z) |
| 94.9% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
Compiled 8 to 10 computations (-25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
6 calls:
| 64.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (*.f64 y z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.0% | 1 | x |
| 55.0% | 1 | y |
| 55.0% | 1 | z |
| 55.0% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 55.0% | 1 | (*.f64 y z) |
| 55.0% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
Compiled 18 to 26 computations (-44.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.381617485009456e+223 | 3.1357475691030663e+233 |
Compiled 10 to 13 computations (-30% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.381617485009456e+223 | 3.1357475691030663e+233 |
Compiled 10 to 13 computations (-30% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0701585887636202 | 3896.0702144878605 |
| 0.0ms | -2040045.084596685 | 1.0 |
Compiled 10 to 13 computations (-30% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0701585887636202 | 3896.0702144878605 |
| 0.0ms | -2040045.084596685 | 1.0 |
Compiled 10 to 13 computations (-30% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 200 |
| 1 | 73 | 200 |
| 2 | 133 | 200 |
| 3 | 225 | 200 |
| 4 | 389 | 200 |
| 5 | 921 | 200 |
| 6 | 1432 | 200 |
| 7 | 1656 | 200 |
| 8 | 1677 | 200 |
| 9 | 1679 | 200 |
| 10 | 1679 | 200 |
| 11 | 1679 | 200 |
| 12 | 1859 | 200 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 49999999999999998477451758974159751046482403622374605607421237630054847441436856676344327287652542857018591204612420567252946440591689353040126624759541451965054047394820266694175773042474003475163007869396334450282260856832 binary64)) (fma.f64 (*.f64 (neg.f64 y) z) x x) #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 49999999999999998477451758974159751046482403622374605607421237630054847441436856676344327287652542857018591204612420567252946440591689353040126624759541451965054047394820266694175773042474003475163007869396334450282260856832 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -2000000 binary64)) #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -2000000 binary64)) #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z)))) |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
| Outputs |
|---|
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 49999999999999998477451758974159751046482403622374605607421237630054847441436856676344327287652542857018591204612420567252946440591689353040126624759541451965054047394820266694175773042474003475163007869396334450282260856832 binary64)) (fma.f64 (*.f64 (neg.f64 y) z) x x) #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 49999999999999998477451758974159751046482403622374605607421237630054847441436856676344327287652542857018591204612420567252946440591689353040126624759541451965054047394820266694175773042474003475163007869396334450282260856832 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -2000000 binary64)) #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) z) y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -2000000 binary64)) #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z)))) |
(if (or (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -2000000 binary64)) (not (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 2 binary64)))) #s(approx (+ (* (sqrt x) (sqrt (* (* z y) (* (* x z) y)))) x) (*.f64 (*.f64 (neg.f64 x) y) z)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 59 |
| 0 | 29 | 58 |
| 1 | 86 | 58 |
| 2 | 476 | 47 |
| 3 | 5447 | 47 |
| 0 | 8569 | 45 |
| 0 | 17 | 72 |
| 0 | 29 | 72 |
| 1 | 105 | 72 |
| 2 | 435 | 72 |
| 3 | 4229 | 72 |
| 0 | 8683 | 65 |
| 0 | 43 | 82 |
| 1 | 144 | 82 |
| 2 | 379 | 82 |
| 3 | 1023 | 82 |
| 4 | 2458 | 82 |
| 5 | 5906 | 82 |
| 6 | 7796 | 82 |
| 0 | 8434 | 82 |
| 0 | 7 | 15 |
| 0 | 10 | 15 |
| 1 | 31 | 15 |
| 2 | 178 | 15 |
| 3 | 1456 | 15 |
| 0 | 9033 | 13 |
| 0 | 46 | 101 |
| 1 | 149 | 101 |
| 2 | 506 | 99 |
| 3 | 1401 | 93 |
| 4 | 3694 | 93 |
| 5 | 6404 | 93 |
| 0 | 8106 | 88 |
| 1× | fuel |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 367 to 178 computations (51.5% saved)
(negabs x)
Compiled 636 to 244 computations (61.6% saved)
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