
Time bar (total: 8.0s)
| 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)
| 657.0ms | 8 256× | 0 | valid |
ival-mult: 141.0ms (66.4% of total)ival-sub: 56.0ms (26.4% of total)ival-true: 6.0ms (2.8% of total)exact: 6.0ms (2.8% of total)ival-assert: 3.0ms (1.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 14 | 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 | 14 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 14 | 0 |
| - | 0 | 242 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 14 | 0 | 0 |
| - | 0 | 0 | 242 |
| number | freq |
|---|---|
| 0 | 242 |
| 1 | 14 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 25.0ms | 512× | 0 | valid |
Compiled 49 to 25 computations (49% saved)
ival-mult: 7.0ms (64.6% of total)ival-sub: 3.0ms (27.7% 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 |
|---|---|---|
| ▶ | 94.7% | (*.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 | 3.363380475635392 | (*.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 (59.9% of total)ival-sub: 1.0ms (20% 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)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 383 | 8 | 391 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 383 | 9 | 392 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.5% | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
| ▶ | 91.6% | (fma.f64 (*.f64 x z) (neg.f64 y) x) |
| 60.3% | (*.f64 x (fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) z) z)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64))) | |
| ▶ | 39.6% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z)))) |
| 52.0% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y))))) | |
| ✓ | 94.7% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| ▶ | 65.3% | (*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) y) (fma.f64 z y #s(literal 1 binary64))))) |
| 47.9% | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) | |
| ▶ | 48.9% | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
Compiled 201 to 159 computations (20.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 z y #s(literal 1 binary64)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) y) (fma.f64 z y #s(literal 1 binary64))))) | |
| cost-diff | 6 | (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) y) (fma.f64 z y #s(literal 1 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (*.f64 y y) z)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z))) | |
| cost-diff | 0 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z)))) | |
| 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 | #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 x (neg.f64 y)) | |
| cost-diff | 0 | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 194 |
| 0 | 55 | 194 |
| 1 | 109 | 184 |
| 2 | 261 | 182 |
| 3 | 806 | 182 |
| 4 | 2705 | 182 |
| 5 | 4045 | 182 |
| 6 | 5974 | 182 |
| 0 | 8196 | 182 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x (neg.f64 y)) z x) |
(*.f64 x (neg.f64 y)) |
x |
(neg.f64 y) |
y |
z |
(*.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) |
(fma.f64 (*.f64 x z) (neg.f64 y) x) |
(*.f64 x z) |
x |
z |
(neg.f64 y) |
y |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z)))) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z))) |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z)) |
(sqrt.f64 (*.f64 (*.f64 y y) z)) |
(*.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
(sqrt.f64 z) |
(*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) y) (fma.f64 z y #s(literal 1 binary64))))) |
x |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) y) (fma.f64 z y #s(literal 1 binary64)))) |
(pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 z y #s(literal 1 binary64)) |
z |
y |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) y) (fma.f64 z y #s(literal 1 binary64))) |
(*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) y) |
(neg.f64 (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
| Outputs |
|---|
(fma.f64 (*.f64 x (neg.f64 y)) z x) |
(fma.f64 z (*.f64 (neg.f64 y) x) x) |
(*.f64 x (neg.f64 y)) |
(*.f64 (neg.f64 y) x) |
x |
(neg.f64 y) |
y |
z |
(*.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) |
(fma.f64 (*.f64 x z) (neg.f64 y) x) |
(fma.f64 z (*.f64 (neg.f64 y) x) x) |
(*.f64 x z) |
(*.f64 z x) |
x |
z |
(neg.f64 y) |
y |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z)))) |
(fma.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (*.f64 y y) z))) x) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z))) |
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 (*.f64 (*.f64 y y) z)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (*.f64 y y) z))) |
(sqrt.f64 (*.f64 (*.f64 y y) z)) |
(*.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
(sqrt.f64 z) |
(*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) y) (fma.f64 z y #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
x |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) y) (fma.f64 z y #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 z y) (*.f64 z y) #s(literal -1 binary64)) (fma.f64 (neg.f64 z) y #s(literal -1 binary64))) |
(pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 z y #s(literal 1 binary64)) |
z |
y |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) y) (fma.f64 z y #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 z y #s(literal 1 binary64))) z) y) (neg.f64 z)) |
(*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) y) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) z) z) |
(neg.f64 (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 (neg.f64 z) z) y) |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.5769529258343238 | (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) y) | |
| accuracy | 2.865584444176213 | (*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) y) (fma.f64 z y #s(literal 1 binary64))))) | |
| accuracy | 6.878363651272813 | (*.f64 (*.f64 z z) y) | |
| accuracy | 13.111127249212673 | (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) y) (fma.f64 z y #s(literal 1 binary64))) | |
| accuracy | 0.19140625 | (*.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z)) | |
| accuracy | 2.861678194176213 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z)))) | |
| accuracy | 4.602091988791114 | (*.f64 (*.f64 y y) z) | |
| accuracy | 19.92496367581074 | (sqrt.f64 (*.f64 (*.f64 y y) z)) | |
| accuracy | 0.0 | (*.f64 x z) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 4.420971958430876 | (fma.f64 (*.f64 x z) (neg.f64 y) x) | |
| accuracy | 2.865584444176213 | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) | |
| accuracy | 24.356185804125957 | #s(approx (- 1 (* y z)) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 x (neg.f64 y)) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 1.2960141514537662 | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
| 59.0ms | 185× | 0 | valid |
| 45.0ms | 71× | 0 | invalid |
Compiled 201 to 34 computations (83.1% saved)
ival-mult: 69.0ms (79.6% of total)ival-add: 4.0ms (4.6% of total)ival-sqrt: 3.0ms (3.5% of total)ival-pow: 3.0ms (3.5% of total)ival-div: 2.0ms (2.3% of total)ival-sub: 2.0ms (2.3% of total)ival-neg: 2.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 x (neg.f64 y)) z x) |
(*.f64 x (neg.f64 y)) |
(neg.f64 y) |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (- 1 (* y z)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x z) (neg.f64 y) x) |
(*.f64 x z) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z)) |
(sqrt.f64 (*.f64 (*.f64 y y) z)) |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) y) (fma.f64 z y #s(literal 1 binary64)))) |
(*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) y) (fma.f64 z y #s(literal 1 binary64))))) |
(pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 z y #s(literal 1 binary64)) |
(*.f64 (*.f64 y y) z) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) y) (fma.f64 z y #s(literal 1 binary64))) |
(*.f64 (*.f64 z z) y) |
(*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) y) |
| Outputs |
|---|
(* x (+ 1 (* -1 (* y z)))) |
(* -1 (* x y)) |
(* x (- 1 (* y z))) |
(* x z) |
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(* -1 (* x (- (* y z) 1))) |
x |
(+ x (* -1 (* x (* y z)))) |
(* -1 y) |
1 |
(+ 1 (* -1 (* y z))) |
(* y z) |
(* y (sqrt z)) |
(+ 1 (* y (- (* y (pow z 2)) z))) |
(+ 1 (* y (- (* y (- (* -1 (* y (pow z 3))) (* -1 (pow z 2)))) z))) |
(+ 1 (* y z)) |
(* (pow y 2) z) |
(* -1 (* (pow y 2) (pow z 2))) |
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (pow z 3)))) |
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (+ (* -1 (* y (pow z 4))) (pow z 3))))) |
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (+ (* y (+ (* -1 (pow z 4)) (* y (pow z 5)))) (pow z 3))))) |
(* y (pow z 2)) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* -1 (* y z)) |
(* y (- (/ 1 y) z)) |
(* y (+ (* -1 z) (/ 1 y))) |
(/ 1 (* y z)) |
(/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y) |
(/ (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (/ 1 (* y (pow z 2)))) y) |
(/ (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 3) (pow z 4))))) y) |
(* y (+ z (/ 1 y))) |
(* y (- (+ (* -1 z) (/ 1 y)) (/ 1 (* (pow y 2) z)))) |
(* y (- (+ (* -1 z) (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2))))) (/ 1 (* (pow y 2) z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y))))) |
(* -1 (* y (sqrt z))) |
(* -1 (* y (- z (/ 1 y)))) |
(* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 4))) (/ 1 (pow z 3))) y)) (/ 1 (pow z 2))) y)) (/ 1 z)) y)) |
(* -1 (* y (- (* -1 z) (/ 1 y)))) |
(* -1 (* y (+ z (* -1 (/ (- 1 (/ 1 (* y z))) y))))) |
(* -1 (* y (+ z (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y))) y))))) |
(+ 1 (* z (- (* (pow y 2) z) y))) |
(+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y))) |
(* (pow z 2) (+ (* -1 (pow y 2)) (* (pow y 3) z))) |
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (* (pow y 4) z)) (pow y 3))))) |
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* z (+ (* -1 (pow y 4)) (* (pow y 5) z))) (pow y 3))))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (- (/ 1 z) y)) |
(* z (+ (* -1 y) (/ 1 z))) |
(/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) z) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3))))) z) |
(* z (+ y (/ 1 z))) |
(* z (- (+ (* -1 y) (/ 1 z)) (/ 1 (* y (pow z 2))))) |
(* z (- (+ (* -1 y) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3))))) (/ 1 (* y (pow z 2))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* x (* y (* z (pow (sqrt -1) 2)))) |
(* -1 (* z (+ (* -1 (* x (* y (pow (sqrt -1) 2)))) (* -1 (/ x z))))) |
(* y (* z (pow (sqrt -1) 2))) |
(* z (+ (* y (pow (sqrt -1) 2)) (/ 1 z))) |
(* -1 (* y (* z (pow (sqrt -1) 2)))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (- y (/ 1 z)))) |
(* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 3) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 4) z)) (/ 1 (pow y 3))) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z)) |
(* -1 (* z (- (* -1 y) (/ 1 z)))) |
(* -1 (* z (+ y (* -1 (/ (- 1 (/ 1 (* y z))) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z))) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 89.0ms | y | @ | inf | ((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (- 1 (* (sqrt (* (* y y) z)) (sqrt z))) (* (sqrt (* (* y y) z)) (sqrt z)) (sqrt (* (* y y) z)) (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1))) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (* (* y y) z) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)) (* (* z z) y) (* (neg (* (* z z) y)) y)) |
| 6.0ms | z | @ | -inf | ((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (- 1 (* (sqrt (* (* y y) z)) (sqrt z))) (* (sqrt (* (* y y) z)) (sqrt z)) (sqrt (* (* y y) z)) (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1))) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (* (* y y) z) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)) (* (* z z) y) (* (neg (* (* z z) y)) y)) |
| 5.0ms | x | @ | 0 | ((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (- 1 (* (sqrt (* (* y y) z)) (sqrt z))) (* (sqrt (* (* y y) z)) (sqrt z)) (sqrt (* (* y y) z)) (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1))) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (* (* y y) z) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)) (* (* z z) y) (* (neg (* (* z z) y)) y)) |
| 5.0ms | z | @ | inf | ((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (- 1 (* (sqrt (* (* y y) z)) (sqrt z))) (* (sqrt (* (* y y) z)) (sqrt z)) (sqrt (* (* y y) z)) (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1))) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (* (* y y) z) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)) (* (* z z) y) (* (neg (* (* z z) y)) y)) |
| 4.0ms | y | @ | -inf | ((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x z) (neg y)) x) (* x z) (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (- 1 (* (sqrt (* (* y y) z)) (sqrt z))) (* (sqrt (* (* y y) z)) (sqrt z)) (sqrt (* (* y y) z)) (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1))) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (* (* y y) z) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)) (* (* z z) y) (* (neg (* (* z z) y)) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 267 | 871 |
| 1 | 873 | 826 |
| 2 | 2659 | 805 |
| 3 | 6561 | 785 |
| 0 | 8131 | 766 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (* -1 (* y z)))) |
(* -1 (* x y)) |
(* x (- 1 (* y z))) |
(* x z) |
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(* -1 (* x (- (* y z) 1))) |
x |
(+ x (* -1 (* x (* y z)))) |
(* -1 y) |
1 |
(+ 1 (* -1 (* y z))) |
(* y z) |
(* y (sqrt z)) |
(+ 1 (* y (- (* y (pow z 2)) z))) |
(+ 1 (* y (- (* y (- (* -1 (* y (pow z 3))) (* -1 (pow z 2)))) z))) |
(+ 1 (* y z)) |
(* (pow y 2) z) |
(* -1 (* (pow y 2) (pow z 2))) |
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (pow z 3)))) |
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (+ (* -1 (* y (pow z 4))) (pow z 3))))) |
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (+ (* y (+ (* -1 (pow z 4)) (* y (pow z 5)))) (pow z 3))))) |
(* y (pow z 2)) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* -1 (* y z)) |
(* y (- (/ 1 y) z)) |
(* y (+ (* -1 z) (/ 1 y))) |
(/ 1 (* y z)) |
(/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y) |
(/ (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (/ 1 (* y (pow z 2)))) y) |
(/ (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 3) (pow z 4))))) y) |
(* y (+ z (/ 1 y))) |
(* y (- (+ (* -1 z) (/ 1 y)) (/ 1 (* (pow y 2) z)))) |
(* y (- (+ (* -1 z) (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2))))) (/ 1 (* (pow y 2) z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* x (* y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y))))) |
(* -1 (* y (sqrt z))) |
(* -1 (* y (- z (/ 1 y)))) |
(* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 4))) (/ 1 (pow z 3))) y)) (/ 1 (pow z 2))) y)) (/ 1 z)) y)) |
(* -1 (* y (- (* -1 z) (/ 1 y)))) |
(* -1 (* y (+ z (* -1 (/ (- 1 (/ 1 (* y z))) y))))) |
(* -1 (* y (+ z (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y))) y))))) |
(+ 1 (* z (- (* (pow y 2) z) y))) |
(+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y))) |
(* (pow z 2) (+ (* -1 (pow y 2)) (* (pow y 3) z))) |
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (* (pow y 4) z)) (pow y 3))))) |
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* z (+ (* -1 (pow y 4)) (* (pow y 5) z))) (pow y 3))))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (- (/ 1 z) y)) |
(* z (+ (* -1 y) (/ 1 z))) |
(/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) z) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3))))) z) |
(* z (+ y (/ 1 z))) |
(* z (- (+ (* -1 y) (/ 1 z)) (/ 1 (* y (pow z 2))))) |
(* z (- (+ (* -1 y) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3))))) (/ 1 (* y (pow z 2))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* x (* y (* z (pow (sqrt -1) 2)))) |
(* -1 (* z (+ (* -1 (* x (* y (pow (sqrt -1) 2)))) (* -1 (/ x z))))) |
(* y (* z (pow (sqrt -1) 2))) |
(* z (+ (* y (pow (sqrt -1) 2)) (/ 1 z))) |
(* -1 (* y (* z (pow (sqrt -1) 2)))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (- y (/ 1 z)))) |
(* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 3) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 4) z)) (/ 1 (pow y 3))) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z)) |
(* -1 (* z (- (* -1 y) (/ 1 z)))) |
(* -1 (* z (+ y (* -1 (/ (- 1 (/ 1 (* y z))) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z))) z))))) |
| Outputs |
|---|
(* x (+ 1 (* -1 (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (- 1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x z) |
(*.f64 z x) |
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64))) |
(* -1 (* x (- (* y z) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 z y) #s(literal 1 binary64))) |
x |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 y) |
(neg.f64 y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y z))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* y z) |
(*.f64 z y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(+ 1 (* y (- (* y (pow z 2)) z))) |
(fma.f64 (-.f64 (*.f64 (*.f64 z z) y) z) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (- (* -1 (* y (pow z 3))) (* -1 (pow z 2)))) z))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 z y))) y) z) y #s(literal 1 binary64)) |
(+ 1 (* y z)) |
(fma.f64 z y #s(literal 1 binary64)) |
(* (pow y 2) z) |
(*.f64 (*.f64 y y) z) |
(* -1 (* (pow y 2) (pow z 2))) |
(*.f64 (neg.f64 y) (*.f64 (*.f64 z z) y)) |
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (pow z 3)))) |
(*.f64 (*.f64 (*.f64 z z) (fma.f64 z y #s(literal -1 binary64))) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (+ (* -1 (* y (pow z 4))) (pow z 3))))) |
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 (fma.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) y)) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (+ (* y (+ (* -1 (pow z 4)) (* y (pow z 5)))) (pow z 3))))) |
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 (fma.f64 (fma.f64 (pow.f64 z #s(literal 5 binary64)) y (neg.f64 (pow.f64 z #s(literal 4 binary64)))) y (pow.f64 z #s(literal 3 binary64))) y)) (*.f64 y y)) |
(* y (pow z 2)) |
(*.f64 (*.f64 z z) y) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* y (- (/ 1 y) z)) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* y (+ (* -1 z) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(/ 1 (* y z)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) y) |
(/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (*.f64 z y)) |
(/ (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (/ 1 (* y (pow z 2)))) y) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (*.f64 z y))) z) y) |
(/ (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 3) (pow z 4))))) y) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (*.f64 z y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))) y) |
(* y (+ z (/ 1 y))) |
(fma.f64 z y #s(literal 1 binary64)) |
(* y (- (+ (* -1 z) (/ 1 y)) (/ 1 (* (pow y 2) z)))) |
(*.f64 (neg.f64 (-.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) z))) z) |
(* y (- (+ (* -1 z) (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2))))) (/ 1 (* (pow y 2) z)))) |
(neg.f64 (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (*.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 z y))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (* y z)) |
(*.f64 (*.f64 z x) y) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y))))) |
(fma.f64 (*.f64 z x) y x) |
(* -1 (* y (sqrt z))) |
(*.f64 (neg.f64 y) (sqrt.f64 z)) |
(* -1 (* y (- z (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) z)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z)) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 4))) (/ 1 (pow z 3))) y)) (/ 1 (pow z 2))) y)) (/ 1 z)) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) y)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) z)) (neg.f64 y)) |
(* -1 (* y (- (* -1 z) (/ 1 y)))) |
(fma.f64 z y #s(literal 1 binary64)) |
(* -1 (* y (+ z (* -1 (/ (- 1 (/ 1 (* y z))) y))))) |
(*.f64 (neg.f64 (-.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) z))) z) |
(* -1 (* y (+ z (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y))) y))))) |
(neg.f64 (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (*.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 z y))) |
(+ 1 (* z (- (* (pow y 2) z) y))) |
(fma.f64 (-.f64 (*.f64 (*.f64 y y) z) y) z #s(literal 1 binary64)) |
(+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) z (*.f64 y y)) z) y) z #s(literal 1 binary64)) |
(* (pow z 2) (+ (* -1 (pow y 2)) (* (pow y 3) z))) |
(*.f64 (*.f64 (*.f64 z z) (fma.f64 z y #s(literal -1 binary64))) (*.f64 y y)) |
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (* (pow y 4) z)) (pow y 3))))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 z) (pow.f64 y #s(literal 3 binary64))) z)) z) z) |
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* z (+ (* -1 (pow y 4)) (* (pow y 5) z))) (pow y 3))))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) z (neg.f64 (pow.f64 y #s(literal 4 binary64)))) z (pow.f64 y #s(literal 3 binary64))) z)) z) z) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* z (- (/ 1 z) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* z (+ (* -1 y) (/ 1 z))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (*.f64 z y)) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) z) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (*.f64 z y))) z) y) |
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3))))) z) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (*.f64 z y))) y) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 3 binary64)))) z) |
(* z (+ y (/ 1 z))) |
(fma.f64 z y #s(literal 1 binary64)) |
(* z (- (+ (* -1 y) (/ 1 z)) (/ 1 (* y (pow z 2))))) |
(*.f64 (neg.f64 (-.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) z))) z) |
(* z (- (+ (* -1 y) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3))))) (/ 1 (* y (pow z 2))))) |
(neg.f64 (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (*.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 z y))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* x (* y (* z (pow (sqrt -1) 2)))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* -1 (* z (+ (* -1 (* x (* y (pow (sqrt -1) 2)))) (* -1 (/ x z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
(* y (* z (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 y) z) |
(* z (+ (* y (pow (sqrt -1) 2)) (/ 1 z))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* -1 (* y (* z (pow (sqrt -1) 2)))) |
(*.f64 z y) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(*.f64 (sqrt.f64 z) y) |
(* -1 (* z (- y (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) z)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 3) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 4) z)) (/ 1 (pow y 3))) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z)) |
(* -1 (* z (- (* -1 y) (/ 1 z)))) |
(fma.f64 z y #s(literal 1 binary64)) |
(* -1 (* z (+ y (* -1 (/ (- 1 (/ 1 (* y z))) z))))) |
(*.f64 (neg.f64 (-.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) z))) z) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z))) z))))) |
(neg.f64 (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (*.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 z y))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 161 |
| 0 | 55 | 144 |
| 1 | 202 | 127 |
| 2 | 1331 | 95 |
| 0 | 9409 | 95 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x (neg.f64 y)) z x) |
(*.f64 x (neg.f64 y)) |
(neg.f64 y) |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (- 1 (* y z)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x z) (neg.f64 y) x) |
(*.f64 x z) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z)) |
(sqrt.f64 (*.f64 (*.f64 y y) z)) |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) y) (fma.f64 z y #s(literal 1 binary64)))) |
(*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) y) (fma.f64 z y #s(literal 1 binary64))))) |
(pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 z y #s(literal 1 binary64)) |
(*.f64 (*.f64 y y) z) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) y) (fma.f64 z y #s(literal 1 binary64))) |
(*.f64 (*.f64 z z) y) |
(*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) y) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) x) x)) (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) x) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z y) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z y) x) x)))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z y) x) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))))) (-.f64 (*.f64 (*.f64 z y) x) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z y) x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) x) x)) (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) x) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z y) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z y) x) x)) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z y) x) x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) (*.f64 y x)) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 x (*.f64 (neg.f64 z) (*.f64 y x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 z y)) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 x (*.f64 (neg.f64 x) (*.f64 z y)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 z y) x x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z y) x) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) x) x)) (*.f64 (-.f64 (*.f64 (*.f64 z y) x) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (*.f64 z y) x) x) (-.f64 (*.f64 (*.f64 z y) x) x))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64))) (*.f64 (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64))) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64))) (fma.f64 (*.f64 z y) x x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 z y) x) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z y) x) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 z y) 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 (-.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z y) 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 (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (*.f64 z x)) y x) |
(fma.f64 (*.f64 z y) x x) |
(fma.f64 (*.f64 z x) y x) |
(fma.f64 z (*.f64 y x) x) |
(fma.f64 (*.f64 y x) z x) |
(fma.f64 y (*.f64 z x) x) |
(fma.f64 x (*.f64 z y) x) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 z y) x x)) (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) x x))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z y) x) x))) |
(-.f64 x (*.f64 (neg.f64 (neg.f64 (*.f64 z x))) y)) |
(-.f64 x (*.f64 (neg.f64 z) (*.f64 y x))) |
(-.f64 x (*.f64 (neg.f64 x) (*.f64 z y))) |
(-.f64 x (*.f64 (*.f64 z y) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z y) x) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z y) x) x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z y) x) x)))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z y) x) x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) x) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (*.f64 z y) x) x))) |
(+.f64 (*.f64 (*.f64 z y) x) x) |
(+.f64 x (*.f64 (neg.f64 (neg.f64 x)) (*.f64 z y))) |
(+.f64 x (*.f64 (neg.f64 (neg.f64 (*.f64 z x))) y)) |
(+.f64 x (*.f64 (neg.f64 (neg.f64 z)) (*.f64 y x))) |
(+.f64 x (*.f64 (neg.f64 z) (*.f64 y x))) |
(+.f64 x (*.f64 (neg.f64 x) (*.f64 z y))) |
(+.f64 x (*.f64 (*.f64 z y) x)) |
(*.f64 (neg.f64 x) y) |
(*.f64 y x) |
(*.f64 x y) |
(neg.f64 (*.f64 y x)) |
(*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) |
(*.f64 (sqrt.f64 y) (sqrt.f64 y)) |
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(pow.f64 y #s(literal 1 binary64)) |
(neg.f64 y) |
(sqrt.f64 (*.f64 y y)) |
(fabs.f64 y) |
(exp.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64))) |
y |
(*.f64 #s(approx (- 1 (* y z)) #s(literal 1 binary64)) x) |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (- 1 (* y z)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) x) x)) (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) x) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z y) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z y) x) x)))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z y) x) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))))) (-.f64 (*.f64 (*.f64 z y) x) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z y) x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) x) x)) (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) x) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z y) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z y) x) x)) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z y) x) x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) (*.f64 y x)) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 x (*.f64 (neg.f64 z) (*.f64 y x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 z y)) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 x (*.f64 (neg.f64 x) (*.f64 z y)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 z y) x x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z y) x) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) x) x)) (*.f64 (-.f64 (*.f64 (*.f64 z y) x) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (*.f64 z y) x) x) (-.f64 (*.f64 (*.f64 z y) x) x))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64))) (*.f64 (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64))) (fma.f64 x (fma.f64 (*.f64 z y) x x) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64))) (fma.f64 (*.f64 z y) x x)) |
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(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 y y) z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 z y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (-.f64 (fma.f64 z y #s(literal 1 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 y (fma.f64 z y #s(literal -1 binary64))) (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 (neg.f64 z) z) (*.f64 y (/.f64 y (fma.f64 z y #s(literal -1 binary64))))) |
(*.f64 (*.f64 (*.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal -1 binary64)))) |
(*.f64 (*.f64 z z) (*.f64 y (/.f64 y (fma.f64 z y #s(literal -1 binary64))))) |
(*.f64 y (/.f64 (*.f64 (*.f64 z z) y) (fma.f64 z y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 z y #s(literal 1 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 z y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (pow.f64 (fma.f64 z y #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 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 2 binary64)) (+.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 z y #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y #s(literal 1 binary64))))))) |
(/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (neg.f64 (neg.f64 (fma.f64 z y #s(literal -1 binary64))))) |
(/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (neg.f64 (fma.f64 z y #s(literal -1 binary64)))) |
(/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y #s(literal -1 binary64))) |
(/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y #s(literal 1 binary64))) |
(neg.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y #s(literal -1 binary64)))) |
(*.f64 (*.f64 y (neg.f64 z)) (neg.f64 z)) |
(*.f64 (*.f64 (neg.f64 z) z) y) |
(*.f64 (neg.f64 z) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) (*.f64 z y)) |
(*.f64 (*.f64 z y) z) |
(*.f64 (*.f64 z z) y) |
(*.f64 z (*.f64 z y)) |
(*.f64 y (*.f64 (neg.f64 z) z)) |
(*.f64 y (*.f64 z z)) |
(neg.f64 (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 (neg.f64 (neg.f64 z)) y) (*.f64 (neg.f64 (neg.f64 z)) y)) |
(*.f64 (*.f64 y (neg.f64 (neg.f64 z))) (*.f64 y (neg.f64 (neg.f64 z)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1 binary64) z)) (*.f64 y y)) |
(*.f64 (*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y)) (*.f64 z z)) |
(*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 (*.f64 y y) z)) |
(*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) y)) (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) y))) z) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (*.f64 y y)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 z z)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (*.f64 y y) z)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) y)) #s(literal 2 binary64)) z) |
(*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z))) |
(*.f64 (*.f64 (*.f64 z y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (*.f64 (*.f64 z y) (*.f64 (sqrt.f64 z) y)) (sqrt.f64 z)) |
(*.f64 (*.f64 (neg.f64 z) y) (*.f64 (neg.f64 z) y)) |
(*.f64 (*.f64 (neg.f64 z) z) (*.f64 y y)) |
(*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 z y) (*.f64 z y)) |
(*.f64 (*.f64 (*.f64 z z) y) y) |
(*.f64 (*.f64 z z) (*.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)))) |
(*.f64 (*.f64 z z) (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 z z) (*.f64 y y)) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 z y))) |
(*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) (*.f64 z y))) |
(*.f64 (*.f64 (*.f64 y y) z) z) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z #s(literal 1 binary64)))) |
(*.f64 (*.f64 y y) (pow.f64 (*.f64 z #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 y y) (*.f64 z z)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) |
(*.f64 z (*.f64 (*.f64 y y) z)) |
(*.f64 y (*.f64 (*.f64 z z) y)) |
(pow.f64 (*.f64 y (neg.f64 z)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (neg.f64 z) y) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 z y) #s(literal 2 binary64)) |
(neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) |
(sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64))) |
(fabs.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 z) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 2 binary64))) |
Compiled 15 983 to 2 135 computations (86.6% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 619 | 4 | 623 |
| Fresh | 2 | 1 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 623 | 9 | 632 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 94.5% | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
| ✓ | 91.6% | (fma.f64 (*.f64 x z) (neg.f64 y) x) |
| ▶ | 67.7% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z)))) |
| ▶ | 52.0% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y))))) |
| ✓ | 94.7% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| ▶ | 47.9% | (*.f64 x #s(approx (- 1 (* (sqrt (* (* y y) z)) (sqrt z))) (*.f64 (neg.f64 y) z))) |
| ✓ | 48.9% | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
| ▶ | 2.8% | #s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (*.f64 z x) y)) |
| ▶ | 64.3% | #s(approx (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/.f64 (*.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64)))) |
Compiled 234 to 168 computations (28.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (*.f64 z y)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)))) | |
| cost-diff | 0 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y))))) | |
| cost-diff | 6 | (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/.f64 (*.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64)))) | |
| cost-diff | 1 | (fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) z) | |
| cost-diff | 0 | #s(approx (- 1 (* (sqrt (* (* y y) z)) (sqrt z))) (*.f64 (neg.f64 y) z)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* (sqrt (* (* y y) z)) (sqrt z))) (*.f64 (neg.f64 y) z))) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | (*.f64 (*.f64 z x) y) | |
| cost-diff | 0 | #s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (*.f64 z x) y)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 z) y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z))) | |
| cost-diff | 0 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z)))) | |
| cost-diff | 4 | (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 247 |
| 0 | 69 | 245 |
| 1 | 140 | 239 |
| 2 | 341 | 211 |
| 3 | 1158 | 211 |
| 4 | 3050 | 188 |
| 5 | 4146 | 188 |
| 6 | 4518 | 188 |
| 7 | 4837 | 188 |
| 8 | 5377 | 188 |
| 9 | 6100 | 188 |
| 0 | 8607 | 188 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z)))) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
z |
y |
#s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (*.f64 z x) y)) |
(*.f64 (*.f64 z x) y) |
(*.f64 z x) |
z |
x |
y |
(*.f64 x #s(approx (- 1 (* (sqrt (* (* y y) z)) (sqrt z))) (*.f64 (neg.f64 y) z))) |
x |
#s(approx (- 1 (* (sqrt (* (* y y) z)) (sqrt z))) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
#s(approx (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/.f64 (*.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64))) |
(*.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) x) |
(fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) |
(neg.f64 y) |
y |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
#s(literal 1 binary64) |
x |
(fma.f64 z y #s(literal 1 binary64)) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y))))) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)))) |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y))) |
(sqrt.f64 (*.f64 z y)) |
(*.f64 z y) |
z |
y |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z)))) |
(*.f64 (neg.f64 x) (fma.f64 y z #s(literal -1 binary64))) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z))) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z)) |
(*.f64 y z) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (sqrt.f64 z)) |
(sqrt.f64 z) |
z |
y |
#s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (*.f64 z x) y)) |
(*.f64 (*.f64 z x) y) |
(*.f64 z x) |
z |
x |
y |
(*.f64 x #s(approx (- 1 (* (sqrt (* (* y y) z)) (sqrt z))) (*.f64 (neg.f64 y) z))) |
(*.f64 #s(approx (- 1 (* (sqrt (* (* y y) z)) (sqrt z))) (*.f64 (neg.f64 y) z)) x) |
x |
#s(approx (- 1 (* (sqrt (* (* y y) z)) (sqrt z))) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
#s(approx (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/.f64 (*.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64)))) |
#s(approx (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (*.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 4 binary64))))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64))) |
(*.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 4 binary64)))) |
(*.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) x) |
(fma.f64 (neg.f64 x) (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 4 binary64)) x) |
(fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 4 binary64))) |
(neg.f64 y) |
y |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
#s(literal 1 binary64) |
x |
(fma.f64 z y #s(literal 1 binary64)) |
(fma.f64 y z #s(literal 1 binary64)) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y))))) |
(*.f64 (neg.f64 x) (fma.f64 y z #s(literal -1 binary64))) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)))) |
(fma.f64 (neg.f64 y) z #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y))) |
(*.f64 y z) |
(sqrt.f64 (*.f64 z y)) |
(sqrt.f64 (*.f64 y z)) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 0.0703125 | (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y))) | |
| accuracy | 0.9382849573784193 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y))))) | |
| accuracy | 2.0060627775660254 | (sqrt.f64 (*.f64 z y)) | |
| accuracy | 0.00390625 | (*.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) x) | |
| accuracy | 0.4761862306690321 | (fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) | |
| accuracy | 2.370725227565179 | (*.f64 (*.f64 z z) y) | |
| accuracy | 2.6643208307969046 | (/.f64 (*.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64))) | |
| accuracy | 0.0 | (*.f64 (neg.f64 y) z) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.9382849573784193 | (*.f64 x #s(approx (- 1 (* (sqrt (* (* y y) z)) (sqrt z))) (*.f64 (neg.f64 y) z))) | |
| accuracy | 6.552306894881271 | #s(approx (- 1 (* (sqrt (* (* y y) z)) (sqrt z))) (*.f64 (neg.f64 y) z)) | |
| accuracy | 0.0 | (*.f64 z x) | |
| accuracy | 1.6771786976091303 | (*.f64 (*.f64 z x) y) | |
| accuracy | 12.314187208675245 | #s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (*.f64 z x) y)) | |
| accuracy | 0.0 | (sqrt.f64 z) | |
| accuracy | 0.04296875 | (*.f64 (sqrt.f64 z) y) | |
| accuracy | 0.0546875 | (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z)) | |
| accuracy | 0.9382849573784193 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z)))) |
| 52.0ms | 205× | 0 | invalid |
| 15.0ms | 51× | 0 | valid |
Compiled 223 to 40 computations (82.1% saved)
ival-mult: 26.0ms (56.2% of total)ival-sqrt: 5.0ms (10.8% of total)ival-div: 3.0ms (6.5% of total)ival-add: 3.0ms (6.5% of total)ival-sub: 3.0ms (6.5% of total)ival-pow: 3.0ms (6.5% of total)ival-neg: 2.0ms (4.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z)) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) y) |
#s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (*.f64 z x) y)) |
(*.f64 (*.f64 z x) y) |
(*.f64 z x) |
(*.f64 x #s(approx (- 1 (* (sqrt (* (* y y) z)) (sqrt z))) (*.f64 (neg.f64 y) z))) |
#s(approx (- 1 (* (sqrt (* (* y y) z)) (sqrt z))) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
(fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) |
#s(approx (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/.f64 (*.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64))) |
(*.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) x) |
(*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)))) |
(sqrt.f64 (*.f64 z y)) |
(sqrt.f64 z) |
(*.f64 (*.f64 z z) y) |
(*.f64 z y) |
| Outputs |
|---|
(* x (- 1 (* y z))) |
(* x (* y z)) |
(* x z) |
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z))) |
(* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) |
(* y z) |
x |
(+ x (* -1 (* x (* y z)))) |
1 |
(+ 1 (* -1 (* y z))) |
(* y (sqrt z)) |
(* -1 (* y z)) |
(* -1 y) |
(+ 1 (* -1 (* (pow y 2) (pow z 2)))) |
(+ x (* -1 (* x (* (pow y 2) (pow z 2))))) |
(sqrt (* y z)) |
(* y (pow z 2)) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (- (/ 1 y) z)) |
(* -1 (* (pow y 2) (pow z 2))) |
(* (pow y 2) (+ (* -1 (pow z 2)) (/ 1 (pow y 2)))) |
(* -1 (* x (* (pow y 2) (pow z 2)))) |
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* y (+ (* -1 z) (/ 1 y))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y))))) |
(* y (+ z (/ 1 y))) |
(* -1 (* y (* z (pow (sqrt -1) 2)))) |
(* x (* y (* z (pow (sqrt -1) 2)))) |
(* -1 (* y (+ (* -1 (* x (* z (pow (sqrt -1) 2)))) (* -1 (/ x y))))) |
(* y (* z (pow (sqrt -1) 2))) |
(* y (+ (* z (pow (sqrt -1) 2)) (/ 1 y))) |
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2))) |
(sqrt z) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (- (/ 1 z) y)) |
(* (pow z 2) (+ (* -1 (pow y 2)) (/ 1 (pow z 2)))) |
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (/ x (pow z 2)))) |
(* -1 (* z (+ (* -1 (* x (* y (pow (sqrt -1) 2)))) (* -1 (/ x z))))) |
(* z (+ (* y (pow (sqrt -1) 2)) (/ 1 z))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 318.0ms | x | @ | 0 | ((* (* (sqrt z) y) (sqrt z)) (* x (- 1 (* (* (sqrt z) y) (sqrt z)))) (- 1 (* (* (sqrt z) y) (sqrt z))) (* (sqrt z) y) (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (* (* z x) y) (* z x) (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (- 1 (* (sqrt (* (* y y) z)) (sqrt z))) (* (neg y) z) (neg y) (+ (* (neg y) (* (* z z) y)) 1) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/ (* (+ (* (neg y) (* (* z z) y)) 1) x) (+ (* z y) 1)) (* (+ (* (neg y) (* (* z z) y)) 1) x) (* (sqrt (* z y)) (sqrt (* z y))) (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (- 1 (* (sqrt (* z y)) (sqrt (* z y)))) (sqrt (* z y)) (sqrt z) (* (* z z) y) (* z y)) |
| 8.0ms | y | @ | inf | ((* (* (sqrt z) y) (sqrt z)) (* x (- 1 (* (* (sqrt z) y) (sqrt z)))) (- 1 (* (* (sqrt z) y) (sqrt z))) (* (sqrt z) y) (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (* (* z x) y) (* z x) (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (- 1 (* (sqrt (* (* y y) z)) (sqrt z))) (* (neg y) z) (neg y) (+ (* (neg y) (* (* z z) y)) 1) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/ (* (+ (* (neg y) (* (* z z) y)) 1) x) (+ (* z y) 1)) (* (+ (* (neg y) (* (* z z) y)) 1) x) (* (sqrt (* z y)) (sqrt (* z y))) (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (- 1 (* (sqrt (* z y)) (sqrt (* z y)))) (sqrt (* z y)) (sqrt z) (* (* z z) y) (* z y)) |
| 5.0ms | y | @ | -inf | ((* (* (sqrt z) y) (sqrt z)) (* x (- 1 (* (* (sqrt z) y) (sqrt z)))) (- 1 (* (* (sqrt z) y) (sqrt z))) (* (sqrt z) y) (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (* (* z x) y) (* z x) (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (- 1 (* (sqrt (* (* y y) z)) (sqrt z))) (* (neg y) z) (neg y) (+ (* (neg y) (* (* z z) y)) 1) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/ (* (+ (* (neg y) (* (* z z) y)) 1) x) (+ (* z y) 1)) (* (+ (* (neg y) (* (* z z) y)) 1) x) (* (sqrt (* z y)) (sqrt (* z y))) (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (- 1 (* (sqrt (* z y)) (sqrt (* z y)))) (sqrt (* z y)) (sqrt z) (* (* z z) y) (* z y)) |
| 4.0ms | z | @ | -inf | ((* (* (sqrt z) y) (sqrt z)) (* x (- 1 (* (* (sqrt z) y) (sqrt z)))) (- 1 (* (* (sqrt z) y) (sqrt z))) (* (sqrt z) y) (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (* (* z x) y) (* z x) (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (- 1 (* (sqrt (* (* y y) z)) (sqrt z))) (* (neg y) z) (neg y) (+ (* (neg y) (* (* z z) y)) 1) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/ (* (+ (* (neg y) (* (* z z) y)) 1) x) (+ (* z y) 1)) (* (+ (* (neg y) (* (* z z) y)) 1) x) (* (sqrt (* z y)) (sqrt (* z y))) (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (- 1 (* (sqrt (* z y)) (sqrt (* z y)))) (sqrt (* z y)) (sqrt z) (* (* z z) y) (* z y)) |
| 4.0ms | x | @ | -inf | ((* (* (sqrt z) y) (sqrt z)) (* x (- 1 (* (* (sqrt z) y) (sqrt z)))) (- 1 (* (* (sqrt z) y) (sqrt z))) (* (sqrt z) y) (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (* (* z x) y) (* z x) (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (- 1 (* (sqrt (* (* y y) z)) (sqrt z))) (* (neg y) z) (neg y) (+ (* (neg y) (* (* z z) y)) 1) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/ (* (+ (* (neg y) (* (* z z) y)) 1) x) (+ (* z y) 1)) (* (+ (* (neg y) (* (* z z) y)) 1) x) (* (sqrt (* z y)) (sqrt (* z y))) (* x (- 1 (* (sqrt (* z y)) (sqrt (* z y))))) (- 1 (* (sqrt (* z y)) (sqrt (* z y)))) (sqrt (* z y)) (sqrt z) (* (* z z) y) (* z y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 312 |
| 1 | 383 | 288 |
| 2 | 1239 | 284 |
| 3 | 3342 | 284 |
| 4 | 7247 | 284 |
| 0 | 8238 | 280 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (- 1 (* y z))) |
(* x (* y z)) |
(* x z) |
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z))) |
(* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) |
(* y z) |
x |
(+ x (* -1 (* x (* y z)))) |
1 |
(+ 1 (* -1 (* y z))) |
(* y (sqrt z)) |
(* -1 (* y z)) |
(* -1 y) |
(+ 1 (* -1 (* (pow y 2) (pow z 2)))) |
(+ x (* -1 (* x (* (pow y 2) (pow z 2))))) |
(sqrt (* y z)) |
(* y (pow z 2)) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (- (/ 1 y) z)) |
(* -1 (* (pow y 2) (pow z 2))) |
(* (pow y 2) (+ (* -1 (pow z 2)) (/ 1 (pow y 2)))) |
(* -1 (* x (* (pow y 2) (pow z 2)))) |
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* y (+ (* -1 z) (/ 1 y))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y))))) |
(* y (+ z (/ 1 y))) |
(* -1 (* y (* z (pow (sqrt -1) 2)))) |
(* x (* y (* z (pow (sqrt -1) 2)))) |
(* -1 (* y (+ (* -1 (* x (* z (pow (sqrt -1) 2)))) (* -1 (/ x y))))) |
(* y (* z (pow (sqrt -1) 2))) |
(* y (+ (* z (pow (sqrt -1) 2)) (/ 1 y))) |
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2))) |
(sqrt z) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (- (/ 1 z) y)) |
(* (pow z 2) (+ (* -1 (pow y 2)) (/ 1 (pow z 2)))) |
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (/ x (pow z 2)))) |
(* -1 (* z (+ (* -1 (* x (* y (pow (sqrt -1) 2)))) (* -1 (/ x z))))) |
(* z (+ (* y (pow (sqrt -1) 2)) (/ 1 z))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(* x (- 1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) |
(* x (* y z)) |
(*.f64 (*.f64 x y) z) |
(* x z) |
(*.f64 x z) |
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(*.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (fma.f64 (*.f64 y (*.f64 y z)) (neg.f64 z) #s(literal 1 binary64))) |
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z))) |
(*.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (fma.f64 (*.f64 y (*.f64 y z)) (neg.f64 z) #s(literal 1 binary64))) |
(* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 y (*.f64 y z)) z #s(literal -1 binary64))) |
(* y z) |
(*.f64 y z) |
x |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y z))) |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 y) |
(neg.f64 y) |
(+ 1 (* -1 (* (pow y 2) (pow z 2)))) |
(fma.f64 (*.f64 y (*.f64 y z)) (neg.f64 z) #s(literal 1 binary64)) |
(+ x (* -1 (* x (* (pow y 2) (pow z 2))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 y (*.f64 y z)) z #s(literal -1 binary64))) |
(sqrt (* y z)) |
(sqrt.f64 (*.f64 y z)) |
(* y (pow z 2)) |
(*.f64 (*.f64 z z) y) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 y) z) x) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) |
(* y (- (/ 1 y) z)) |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(* -1 (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z)) |
(* (pow y 2) (+ (* -1 (pow z 2)) (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 y (*.f64 y z)) (neg.f64 z) #s(literal 1 binary64)) |
(* -1 (* x (* (pow y 2) (pow z 2)))) |
(*.f64 (*.f64 x (*.f64 (*.f64 (neg.f64 y) z) z)) y) |
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2)))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 y (*.f64 y z)) z #s(literal -1 binary64))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) |
(* y (+ (* -1 z) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y))))) |
(*.f64 (fma.f64 y z #s(literal 1 binary64)) x) |
(* y (+ z (/ 1 y))) |
(fma.f64 y z #s(literal 1 binary64)) |
(* -1 (* y (* z (pow (sqrt -1) 2)))) |
(*.f64 y z) |
(* x (* y (* z (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 (neg.f64 y) z) x) |
(* -1 (* y (+ (* -1 (* x (* z (pow (sqrt -1) 2)))) (* -1 (/ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) |
(* y (* z (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 y) z) |
(* y (+ (* z (pow (sqrt -1) 2)) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 y z)) |
(sqrt z) |
(sqrt.f64 z) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) |
(* z (- (/ 1 z) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(* (pow z 2) (+ (* -1 (pow y 2)) (/ 1 (pow z 2)))) |
(fma.f64 (*.f64 y (*.f64 y z)) (neg.f64 z) #s(literal 1 binary64)) |
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (/ x (pow z 2)))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 y (*.f64 y z)) z #s(literal -1 binary64))) |
(* -1 (* z (+ (* -1 (* x (* y (pow (sqrt -1) 2)))) (* -1 (/ x z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) |
(* z (+ (* y (pow (sqrt -1) 2)) (/ 1 z))) |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(*.f64 (sqrt.f64 z) y) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(sqrt.f64 z) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 220 |
| 0 | 69 | 213 |
| 1 | 231 | 170 |
| 2 | 1551 | 119 |
| 0 | 9660 | 119 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z)) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) y) |
#s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (*.f64 z x) y)) |
(*.f64 (*.f64 z x) y) |
(*.f64 z x) |
(*.f64 x #s(approx (- 1 (* (sqrt (* (* y y) z)) (sqrt z))) (*.f64 (neg.f64 y) z))) |
#s(approx (- 1 (* (sqrt (* (* y y) z)) (sqrt z))) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
(fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) |
#s(approx (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/.f64 (*.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64))) |
(*.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) x) |
(*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)))) |
(sqrt.f64 (*.f64 z y)) |
(sqrt.f64 z) |
(*.f64 (*.f64 z z) y) |
(*.f64 z y) |
| Outputs |
|---|
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z)))) (sqrt.f64 z)) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) y)) z) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) z)) y) |
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 z z) y))) (sqrt.f64 y)) |
(*.f64 (fabs.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 z)) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z))) (fabs.f64 (*.f64 y (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 z y) (*.f64 y (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 z))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 z y) (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))) (pow.f64 (*.f64 z y) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 (sqrt.f64 z) (*.f64 z y)))) |
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 z y)))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64)) y) |
(*.f64 (pow.f64 (*.f64 (*.f64 z y) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z y) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) (*.f64 z y)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) z) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) y) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 z z) y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal 1 binary64)) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 z y)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z))) (sqrt.f64 z)) |
(*.f64 (*.f64 #s(literal 1 binary64) y) z) |
(*.f64 (*.f64 #s(literal 1 binary64) z) y) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 z z) y)) (sqrt.f64 y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))) |
(*.f64 z (fabs.f64 (*.f64 y #s(literal 1 binary64)))) |
(*.f64 z (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 2 binary64))) |
(*.f64 z (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 z (*.f64 y #s(literal 1 binary64))) |
(*.f64 z y) |
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 z z) y))) |
(*.f64 (neg.f64 z) y) |
(*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y))) |
(*.f64 (*.f64 z y) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 #s(literal 1 binary64) (*.f64 z y)) |
(*.f64 y (fabs.f64 (*.f64 z #s(literal 1 binary64)))) |
(*.f64 y (pow.f64 (*.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 y (*.f64 z #s(literal 1 binary64))) |
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(*.f64 (sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))) (pow.f64 (*.f64 z y) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 (sqrt.f64 z) (*.f64 z y)))) |
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 z y)))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64)) y) |
(*.f64 (pow.f64 (*.f64 (*.f64 z y) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z y) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) (*.f64 z y)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) z) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) y) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 z z) y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal 1 binary64)) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 z y)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z))) (sqrt.f64 z)) |
(*.f64 (*.f64 #s(literal 1 binary64) y) z) |
(*.f64 (*.f64 #s(literal 1 binary64) z) y) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 z z) y)) (sqrt.f64 y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))) |
(*.f64 z (fabs.f64 (*.f64 y #s(literal 1 binary64)))) |
(*.f64 z (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 2 binary64))) |
(*.f64 z (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 z (*.f64 y #s(literal 1 binary64))) |
(*.f64 z y) |
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 z z) y))) |
(*.f64 (neg.f64 z) y) |
(*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y))) |
(*.f64 (*.f64 z y) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 #s(literal 1 binary64) (*.f64 z y)) |
(*.f64 y (fabs.f64 (*.f64 z #s(literal 1 binary64)))) |
(*.f64 y (pow.f64 (*.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 y (*.f64 z #s(literal 1 binary64))) |
(*.f64 y z) |
(*.f64 y (neg.f64 z)) |
(*.f64 (sqrt.f64 z) (fabs.f64 (*.f64 y (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z))) |
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z y) #s(literal 1 binary64)) |
(neg.f64 (*.f64 z y)) |
(sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 z y)) |
(exp.f64 (fma.f64 (log.f64 (*.f64 z (*.f64 y y))) #s(literal 1/2 binary64) (*.f64 (log.f64 z) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 z (*.f64 y y))) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (*.f64 z y))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 z y))) (sinh.f64 (log.f64 (*.f64 z y)))) |
Compiled 42 378 to 4 198 computations (90.1% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 985 | 2 | 987 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 986 | 10 | 996 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 94.5% | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
| ✓ | 91.6% | (fma.f64 (*.f64 x z) (neg.f64 y) x) |
| ✓ | 67.7% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z)))) |
| ✓ | 52.0% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y))))) |
| ✓ | 94.7% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| ✓ | 47.9% | (*.f64 x #s(approx (- 1 (* (sqrt (* (* y y) z)) (sqrt z))) (*.f64 (neg.f64 y) z))) |
| ✓ | 48.9% | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
| ✓ | 2.8% | #s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (*.f64 z x) y)) |
| ▶ | 2.8% | #s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (*.f64 x y) z)) |
| ▶ | 24.3% | #s(approx (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/.f64 (*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z))) x) (fma.f64 z y #s(literal 1 binary64)))) |
Compiled 161 to 116 computations (28% saved)
| 1× | egg-herbie |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) z) | |
| cost-diff | 0 | #s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (*.f64 x y) z)) | |
| cost-diff | 0 | #s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z))) x) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z))) x) (fma.f64 z y #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/.f64 (*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z))) x) (fma.f64 z y #s(literal 1 binary64)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 171 |
| 0 | 47 | 171 |
| 1 | 103 | 161 |
| 2 | 264 | 161 |
| 3 | 1028 | 161 |
| 4 | 2460 | 161 |
| 5 | 3370 | 161 |
| 6 | 3813 | 161 |
| 7 | 4419 | 161 |
| 8 | 5495 | 161 |
| 9 | 6792 | 161 |
| 10 | 7262 | 161 |
| 11 | 7592 | 161 |
| 12 | 7842 | 161 |
| 0 | 8041 | 161 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/.f64 (*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z))) x) (fma.f64 z y #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z))) x) (fma.f64 z y #s(literal 1 binary64))) |
(*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z))) x) |
#s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z))) |
(*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z)) |
(*.f64 y (*.f64 y z)) |
y |
(*.f64 y z) |
z |
(neg.f64 z) |
x |
(fma.f64 z y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (*.f64 x y) z)) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
x |
y |
z |
| Outputs |
|---|
#s(approx (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/.f64 (*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z))) x) (fma.f64 z y #s(literal 1 binary64)))) |
#s(approx (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (*.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 z z))))) |
(/.f64 (*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z))) x) (fma.f64 z y #s(literal 1 binary64))) |
(*.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 z z)))) |
(*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z))) x) |
(*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 z z))) x) |
#s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z))) |
#s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 z z))) |
(*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 z z)) |
(*.f64 y (*.f64 y z)) |
(*.f64 (*.f64 y z) y) |
y |
(*.f64 y z) |
z |
(neg.f64 z) |
x |
(fma.f64 z y #s(literal 1 binary64)) |
(fma.f64 y z #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (*.f64 x y) z)) |
#s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (*.f64 y x) z)) |
(*.f64 (*.f64 x y) z) |
(*.f64 (*.f64 y x) z) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
z |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 2.132561230871739 | (*.f64 (*.f64 x y) z) | |
| accuracy | 26.539914369626832 | #s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (*.f64 x y) z)) | |
| accuracy | 2.3707984703235474 | (*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z))) x) | |
| accuracy | 3.656015874747739 | (*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z)) | |
| accuracy | 8.644591086781766 | (/.f64 (*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z))) x) (fma.f64 z y #s(literal 1 binary64))) | |
| accuracy | 20.839851849037903 | #s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z))) |
| 55.0ms | 185× | 0 | valid |
| 18.0ms | 71× | 0 | invalid |
Compiled 117 to 35 computations (70.1% saved)
ival-mult: 28.0ms (46.7% of total)ival-true: 9.0ms (15% of total)ival-add: 6.0ms (10% of total)ival-pow: 6.0ms (10% of total)ival-div: 3.0ms (5% of total)ival-sqrt: 3.0ms (5% of total)ival-neg: 3.0ms (5% of total)ival-sub: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/.f64 (*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z))) x) (fma.f64 z y #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z))) x) (fma.f64 z y #s(literal 1 binary64))) |
(*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z))) x) |
#s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z))) |
#s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (*.f64 x y) z)) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
(*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z)) |
| Outputs |
|---|
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z))) |
(* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) |
(* x (- 1 (* y z))) |
(* x (* y z)) |
(* x y) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* (pow y 2) (pow z 2))))) |
1 |
(+ 1 (* -1 (* (pow y 2) (pow z 2)))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* -1 (* x (* (pow y 2) (pow z 2)))) |
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1 (pow z 2)) (/ 1 (pow y 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y))))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (/ x (pow z 2)))) |
(* (pow z 2) (+ (* -1 (pow y 2)) (/ 1 (pow z 2)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* x (* y (* z (pow (sqrt -1) 2)))) |
(* -1 (* z (+ (* -1 (* x (* y (pow (sqrt -1) 2)))) (* -1 (/ x z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | ((* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/ (* (+ (* (neg y) (* (* z z) y)) 1) x) (+ (* z y) 1)) (* (+ (* (neg y) (* (* z z) y)) 1) x) (+ (* (neg y) (* (* z z) y)) 1) (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (* (* x y) z) (* x y) (* (* y (* y z)) (neg z))) |
| 4.0ms | x | @ | -inf | ((* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/ (* (+ (* (neg y) (* (* z z) y)) 1) x) (+ (* z y) 1)) (* (+ (* (neg y) (* (* z z) y)) 1) x) (+ (* (neg y) (* (* z z) y)) 1) (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (* (* x y) z) (* x y) (* (* y (* y z)) (neg z))) |
| 2.0ms | x | @ | 0 | ((* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/ (* (+ (* (neg y) (* (* z z) y)) 1) x) (+ (* z y) 1)) (* (+ (* (neg y) (* (* z z) y)) 1) x) (+ (* (neg y) (* (* z z) y)) 1) (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (* (* x y) z) (* x y) (* (* y (* y z)) (neg z))) |
| 2.0ms | z | @ | -inf | ((* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/ (* (+ (* (neg y) (* (* z z) y)) 1) x) (+ (* z y) 1)) (* (+ (* (neg y) (* (* z z) y)) 1) x) (+ (* (neg y) (* (* z z) y)) 1) (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (* (* x y) z) (* x y) (* (* y (* y z)) (neg z))) |
| 2.0ms | y | @ | -inf | ((* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/ (* (+ (* (neg y) (* (* z z) y)) 1) x) (+ (* z y) 1)) (* (+ (* (neg y) (* (* z z) y)) 1) x) (+ (* (neg y) (* (* z z) y)) 1) (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (* (* x y) z) (* x y) (* (* y (* y z)) (neg z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 227 |
| 1 | 276 | 205 |
| 2 | 968 | 203 |
| 3 | 3113 | 201 |
| 4 | 7574 | 201 |
| 0 | 8079 | 198 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z))) |
(* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) |
(* x (- 1 (* y z))) |
(* x (* y z)) |
(* x y) |
x |
(+ x (* -1 (* x (* y z)))) |
(+ x (* -1 (* x (* (pow y 2) (pow z 2))))) |
1 |
(+ 1 (* -1 (* (pow y 2) (pow z 2)))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* -1 (* x (* (pow y 2) (pow z 2)))) |
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1 (pow z 2)) (/ 1 (pow y 2)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y))))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (/ x (pow z 2)))) |
(* (pow z 2) (+ (* -1 (pow y 2)) (/ 1 (pow z 2)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* x (* y (* z (pow (sqrt -1) 2)))) |
(* -1 (* z (+ (* -1 (* x (* y (pow (sqrt -1) 2)))) (* -1 (/ x z))))) |
| Outputs |
|---|
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(*.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 (neg.f64 y) z) y) z #s(literal 1 binary64))) |
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z))) |
(*.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 (neg.f64 y) z) y) z #s(literal 1 binary64))) |
(* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (*.f64 y z) z) y #s(literal -1 binary64))) |
(* x (- 1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) |
(* x (* y z)) |
(*.f64 (*.f64 z x) y) |
(* x y) |
(*.f64 y x) |
x |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) |
(+ x (* -1 (* x (* (pow y 2) (pow z 2))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (*.f64 y z) z) y #s(literal -1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* (pow y 2) (pow z 2)))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) z) y) z #s(literal 1 binary64)) |
(* -1 (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) z) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 z) (*.f64 y x)) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) |
(* -1 (* x (* (pow y 2) (pow z 2)))) |
(*.f64 (*.f64 (*.f64 (*.f64 y z) y) x) (neg.f64 z)) |
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2)))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (*.f64 y z) z) y #s(literal -1 binary64))) |
(* (pow y 2) (+ (* -1 (pow z 2)) (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) z) y) z #s(literal 1 binary64)) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y))))) |
(*.f64 x (fma.f64 y z #s(literal 1 binary64))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) |
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (/ x (pow z 2)))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (*.f64 y z) z) y #s(literal -1 binary64))) |
(* (pow z 2) (+ (* -1 (pow y 2)) (/ 1 (pow z 2)))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) z) y) z #s(literal 1 binary64)) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) |
(* x (* y (* z (pow (sqrt -1) 2)))) |
(*.f64 (neg.f64 z) (*.f64 y x)) |
(* -1 (* z (+ (* -1 (* x (* y (pow (sqrt -1) 2)))) (* -1 (/ x z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 150 |
| 0 | 47 | 149 |
| 1 | 174 | 110 |
| 2 | 1142 | 96 |
| 0 | 9520 | 96 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/.f64 (*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z))) x) (fma.f64 z y #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z))) x) (fma.f64 z y #s(literal 1 binary64))) |
(*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z))) x) |
#s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z))) |
#s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (*.f64 x y) z)) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
(*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z)) |
| Outputs |
|---|
#s(approx (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (*.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(approx (+ (* (neg y) (* (* z z) y)) 1) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) x) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 y z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (fma.f64 (*.f64 y z) (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(approx (+ (* (neg y) (* (* z z) y)) 1) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) |
(*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64)))) |
(*.f64 x (/.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 y z #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(approx (+ (* (neg y) (* (* z z) y)) 1) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 y z #s(literal -1 binary64))))) |
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) x) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y z) (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) x) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y z #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) x) (-.f64 (pow.f64 (*.f64 y z) #s(literal 4 binary64)) (pow.f64 (fma.f64 y z #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (fma.f64 y z #s(literal 1 binary64))))) |
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) x) (+.f64 (pow.f64 (*.f64 y z) #s(literal 6 binary64)) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 y z #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (fma.f64 y z #s(literal 1 binary64))))))) |
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(approx (+ (* (neg y) (* (* z z) y)) 1) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y z #s(literal -1 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (+ (* (neg y) (* (* z z) y)) 1) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (fma.f64 y z #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) x) (fma.f64 y z #s(literal 1 binary64))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) #s(approx (+ (* (neg y) (* (* z z) y)) 1) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (fma.f64 y z #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) x) (fma.f64 y z #s(literal -1 binary64)))) |
(*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) x) |
(*.f64 x #s(approx (+ (* (neg y) (* (* z z) y)) 1) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) |
#s(approx (+ (* (neg y) (* (* z z) y)) 1) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) |
#s(approx (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (*.f64 (*.f64 y x) z)) |
(*.f64 (*.f64 z x) y) |
(*.f64 (*.f64 x z) y) |
(*.f64 (*.f64 y x) z) |
(*.f64 (*.f64 y z) x) |
(*.f64 y (*.f64 x z)) |
(*.f64 z (*.f64 y x)) |
(*.f64 x (*.f64 y z)) |
(neg.f64 (*.f64 (*.f64 y x) z)) |
(*.f64 y x) |
(*.f64 x y) |
(*.f64 (neg.f64 (*.f64 (*.f64 y z) (sqrt.f64 z))) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (neg.f64 (*.f64 (*.f64 y z) (*.f64 (sqrt.f64 z) y))) (sqrt.f64 z)) |
(*.f64 (*.f64 y (neg.f64 (neg.f64 z))) (*.f64 y (neg.f64 (neg.f64 z)))) |
(*.f64 (*.f64 (neg.f64 (neg.f64 z)) y) (*.f64 (neg.f64 (neg.f64 z)) y)) |
(*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 (*.f64 y z) y)) |
(*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) y)) (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) y))) z) |
(*.f64 (fabs.f64 (*.f64 (*.f64 y z) y)) z) |
(*.f64 (fabs.f64 (*.f64 (*.f64 z z) y)) (fabs.f64 (*.f64 y #s(literal 1 binary64)))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 z z) y)) y) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) y)) (sqrt.f64 (*.f64 (*.f64 z z) y))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (*.f64 z z) y))) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64))) y) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 z z) y)) (sqrt.f64 (*.f64 y (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (*.f64 y z) y)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) y)) #s(literal 2 binary64)) z) |
(*.f64 (*.f64 (*.f64 y z) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (*.f64 (*.f64 y z) (*.f64 (sqrt.f64 z) y)) (neg.f64 (sqrt.f64 z))) |
(*.f64 (*.f64 (*.f64 y z) (*.f64 (sqrt.f64 z) y)) (sqrt.f64 z)) |
(*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 y z))) |
(*.f64 (neg.f64 (neg.f64 z)) (*.f64 (*.f64 y z) y)) |
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) y) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (neg.f64 z) z) (*.f64 y y)) |
(*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 z) (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 y z)))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 y z))) |
(*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 y z)))) |
(*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) (*.f64 y z))) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z #s(literal 1 binary64)))) |
(*.f64 (*.f64 y y) (pow.f64 (*.f64 z #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 y y) (*.f64 (neg.f64 z) z)) |
(*.f64 (*.f64 y y) (*.f64 z z)) |
(*.f64 (neg.f64 z) (*.f64 (*.f64 y z) y)) |
(*.f64 (*.f64 (*.f64 y z) y) (neg.f64 (neg.f64 z))) |
(*.f64 (*.f64 (*.f64 y z) y) (neg.f64 z)) |
(*.f64 (*.f64 (*.f64 y z) y) z) |
(*.f64 (*.f64 (*.f64 z z) y) (*.f64 y #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 z z) y) y) |
(*.f64 (*.f64 z z) (*.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)))) |
(*.f64 (*.f64 z z) (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 z z) (*.f64 y y)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) |
(*.f64 (*.f64 y z) (*.f64 y z)) |
(*.f64 y (neg.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal 1 binary64)))) |
(*.f64 y (fabs.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal 1 binary64)))) |
(*.f64 y (fabs.f64 (*.f64 (*.f64 z z) y))) |
(*.f64 y (sqrt.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)))) |
(*.f64 y (*.f64 (*.f64 (*.f64 z z) y) #s(literal 1 binary64))) |
(*.f64 y (*.f64 (*.f64 z z) y)) |
(*.f64 z (fabs.f64 (*.f64 (*.f64 y z) y))) |
(*.f64 z (*.f64 (*.f64 y z) y)) |
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 y z) #s(literal 2 binary64)) |
(neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) |
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 4 binary64))) |
(fabs.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 z) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 2 binary64))) |
Compiled 5 010 to 547 computations (89.1% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 104 | 1 | 105 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 1 | 7 | 8 |
| Total | 105 | 10 | 115 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 91.6% | (fma.f64 (*.f64 x z) (neg.f64 y) x) |
| ✓ | 67.7% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z)))) |
| ✓ | 52.0% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y))))) |
| ✓ | 94.7% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| ✓ | 47.9% | (*.f64 x #s(approx (- 1 (* (sqrt (* (* y y) z)) (sqrt z))) (*.f64 (neg.f64 y) z))) |
| ✓ | 48.9% | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
| ✓ | 2.8% | #s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (*.f64 z x) y)) |
| ✓ | 2.8% | #s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (*.f64 x y) z)) |
| 51.5% | #s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (neg.f64 z) (*.f64 y x))) | |
| ✓ | 24.3% | #s(approx (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/.f64 (*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z))) x) (fma.f64 z y #s(literal 1 binary64)))) |
Compiled 457 to 219 computations (52.1% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (*.f64 x y) z)) |
#s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (*.f64 z x) y)) |
#s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (neg.f64 z) (*.f64 y x))) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) |
(*.f64 x #s(approx (- 1 (* (sqrt (* (* y y) z)) (sqrt 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) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z)))) |
#s(approx (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/.f64 (*.f64 #s(approx (+ (* (neg y) (* (* z z) y)) 1) (*.f64 (*.f64 y (*.f64 y z)) (neg.f64 z))) x) (fma.f64 z y #s(literal 1 binary64)))) |
#s(approx (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* z z) y)) y) (+ (* z y) 1)))) (/.f64 (*.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y))))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z)))) |
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) z) z)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64))) |
(*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) y) (fma.f64 z y #s(literal 1 binary64))))) |
| Outputs |
|---|
(fma.f64 (*.f64 x (neg.f64 y)) z x) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
6 calls:
| 23.0ms | y |
| 5.0ms | x |
| 5.0ms | z |
| 4.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 4.0ms | (*.f64 y z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | (*.f64 y z) |
| 99.9% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| 99.9% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 98.9% | 2 | x |
| 94.7% | 1 | y |
| 97.9% | 2 | z |
Compiled 18 to 26 computations (-44.4% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (*.f64 x y) z)) |
#s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (*.f64 z x) y)) |
#s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (neg.f64 z) (*.f64 y x))) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) |
(*.f64 x #s(approx (- 1 (* (sqrt (* (* y y) z)) (sqrt 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) |
| Outputs |
|---|
(fma.f64 (*.f64 x z) (neg.f64 y) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(fma.f64 (*.f64 x z) (neg.f64 y) x) |
3 calls:
| 3.0ms | x |
| 2.0ms | (*.f64 y z) |
| 2.0ms | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | (*.f64 y z) |
| 99.9% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| 94.7% | 1 | x |
Compiled 9 to 13 computations (-44.4% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (*.f64 x y) z)) |
#s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (*.f64 z x) y)) |
#s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (neg.f64 z) (*.f64 y x))) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) |
(*.f64 x #s(approx (- 1 (* (sqrt (* (* y y) z)) (sqrt z))) (*.f64 (neg.f64 y) z))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| Outputs |
|---|
#s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (neg.f64 z) (*.f64 y x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
#s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (neg.f64 z) (*.f64 y x))) |
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 |
|---|---|---|
| 99.8% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 99.9% | 3 | (*.f64 y z) |
| 99.9% | 3 | (-.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 (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (*.f64 x y) z)) |
#s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (*.f64 z x) y)) |
#s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (neg.f64 z) (*.f64 y x))) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) |
(*.f64 x #s(approx (- 1 (* (sqrt (* (* y y) z)) (sqrt z))) (*.f64 (neg.f64 y) z))) |
| Outputs |
|---|
#s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (neg.f64 z) (*.f64 y x))) |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (neg.f64 z) (*.f64 y x))) |
6 calls:
| 6.0ms | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| 5.0ms | x |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.8% | 4 | x |
| 78.7% | 3 | y |
| 75.0% | 3 | z |
| 82.6% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 96.5% | 3 | (*.f64 y z) |
| 96.5% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
Compiled 18 to 26 computations (-44.4% saved)
Total -29.6b remaining (-90.5%)
Threshold costs -29.6b (-90.5%)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
#s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (*.f64 x y) z)) |
#s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (*.f64 z x) y)) |
| Outputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
6 calls:
| 2.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 1.0ms | (*.f64 y z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.9% | 1 | x |
| 48.9% | 1 | z |
| 48.9% | 1 | y |
| 48.9% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 48.9% | 1 | (*.f64 y z) |
| 48.9% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
Compiled 18 to 26 computations (-44.4% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 3.758159646940878e-40 | 2.511945901711627e-35 |
| 2.0ms | 48× | 0 | valid |
Compiled 52 to 58 computations (-11.5% saved)
ival-mult: 1.0ms (102% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9708299603090034e+230 | 2.6648558295794098e+237 |
| 0.0ms | -3.577795230521197e+294 | -6.71239851488213e+268 |
Compiled 10 to 13 computations (-30% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.799892828816106e+215 | 8.50858587198143e+215 |
| 0.0ms | -4.378649909198702e+143 | -2.9522336609331144e+139 |
Compiled 10 to 13 computations (-30% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0010557526971466 | 8019376472415788000.0 |
| 0.0ms | -3.1740112717394062 | 0.9999674409134399 |
Compiled 10 to 13 computations (-30% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 148 |
| 1 | 88 | 148 |
| 2 | 147 | 148 |
| 3 | 241 | 148 |
| 4 | 372 | 148 |
| 5 | 600 | 148 |
| 6 | 735 | 148 |
| 7 | 810 | 148 |
| 8 | 810 | 148 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal 2993155353253689/1496577676626844588240573268701473812127674924007424 binary64)) (fma.f64 (*.f64 x (neg.f64 y)) z x) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -2000000000000000132872935482496206237094312341172584908970922214753713493255768101167089780693375139608812241567134921336075488584322101781755750774742240399521541760156078250259598945212267909879768657149226586411367871939134697181462712041438531269934236247503274787037183937480902858990682112 binary64)) (fma.f64 (*.f64 x z) (neg.f64 y) x) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 500000000000000028237705510260420707420313190991529187350282582077728281983789098594609880794729991489884084673768181048282990322303461938652580072801639889709891970152031159909282119041295638459799794152650876636200924348147564544 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (fma.f64 (*.f64 x z) (neg.f64 y) x))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -400000000000000009498172943460442142963463171131472874989385995468094971816808229027271051286433317651738387653536046430317365267956032629374976 binary64)) #s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (neg.f64 z) (*.f64 y x))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 500000000000000010710773479020978721246567373372474647088354547671145870291665184702440514673563724931478639659165466045414475239434971710797302074167740036733921121471220100911936940402823933156326351978114981036032 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (neg.f64 z) (*.f64 y x))))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -2 binary64)) #s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (neg.f64 z) (*.f64 y x))) (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 (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (neg.f64 z) (*.f64 y x))))) |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
| Outputs |
|---|
(if (<=.f64 x #s(literal 2993155353253689/1496577676626844588240573268701473812127674924007424 binary64)) (fma.f64 (*.f64 x (neg.f64 y)) z x) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -2000000000000000132872935482496206237094312341172584908970922214753713493255768101167089780693375139608812241567134921336075488584322101781755750774742240399521541760156078250259598945212267909879768657149226586411367871939134697181462712041438531269934236247503274787037183937480902858990682112 binary64)) (fma.f64 (*.f64 x z) (neg.f64 y) x) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 500000000000000028237705510260420707420313190991529187350282582077728281983789098594609880794729991489884084673768181048282990322303461938652580072801639889709891970152031159909282119041295638459799794152650876636200924348147564544 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (fma.f64 (*.f64 x z) (neg.f64 y) x))) |
(if (or (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -2000000000000000132872935482496206237094312341172584908970922214753713493255768101167089780693375139608812241567134921336075488584322101781755750774742240399521541760156078250259598945212267909879768657149226586411367871939134697181462712041438531269934236247503274787037183937480902858990682112 binary64)) (not (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 500000000000000028237705510260420707420313190991529187350282582077728281983789098594609880794729991489884084673768181048282990322303461938652580072801639889709891970152031159909282119041295638459799794152650876636200924348147564544 binary64)))) (fma.f64 (*.f64 x z) (neg.f64 y) x) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -400000000000000009498172943460442142963463171131472874989385995468094971816808229027271051286433317651738387653536046430317365267956032629374976 binary64)) #s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (neg.f64 z) (*.f64 y x))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 500000000000000010710773479020978721246567373372474647088354547671145870291665184702440514673563724931478639659165466045414475239434971710797302074167740036733921121471220100911936940402823933156326351978114981036032 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (neg.f64 z) (*.f64 y x))))) |
(if (or (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -400000000000000009498172943460442142963463171131472874989385995468094971816808229027271051286433317651738387653536046430317365267956032629374976 binary64)) (not (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 500000000000000010710773479020978721246567373372474647088354547671145870291665184702440514673563724931478639659165466045414475239434971710797302074167740036733921121471220100911936940402823933156326351978114981036032 binary64)))) #s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (neg.f64 z) (*.f64 y x))) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -2 binary64)) #s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (neg.f64 z) (*.f64 y x))) (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 (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (neg.f64 z) (*.f64 y x))))) |
(if (or (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -2 binary64)) (not (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 2 binary64)))) #s(approx (* x (- 1 (* (sqrt (* (* y y) z)) (sqrt z)))) (*.f64 (neg.f64 z) (*.f64 y x))) (*.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 | 7 | 15 |
| 0 | 10 | 15 |
| 1 | 31 | 15 |
| 2 | 178 | 15 |
| 3 | 1456 | 15 |
| 0 | 9033 | 13 |
| 0 | 46 | 220 |
| 0 | 69 | 213 |
| 1 | 231 | 170 |
| 2 | 1551 | 119 |
| 0 | 9660 | 119 |
| 0 | 267 | 871 |
| 1 | 873 | 826 |
| 2 | 2659 | 805 |
| 3 | 6561 | 785 |
| 0 | 8131 | 766 |
| 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 | 78 | 227 |
| 1 | 276 | 205 |
| 2 | 968 | 203 |
| 3 | 3113 | 201 |
| 4 | 7574 | 201 |
| 0 | 8079 | 198 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node 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 282 to 160 computations (43.3% saved)
(negabs x)
Compiled 496 to 220 computations (55.6% saved)
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