
Time bar (total: 5.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 9 to 9 computations (0% saved)
| 579.0ms | 8 256× | 0 | valid |
ival-mult: 208.0ms (79.9% of total)ival-sub: 37.0ms (14.2% of total)ival-true: 5.0ms (1.9% of total)exact: 5.0ms (1.9% of total)ival-assert: 3.0ms (1.2% of total)adjust: 2.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 11 | 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 | 11 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 11 | 0 |
| - | 0 | 245 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 11 | 0 | 0 |
| - | 0 | 0 | 245 |
| number | freq |
|---|---|
| 0 | 245 |
| 1 | 11 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 36.0ms | 512× | 0 | valid |
Compiled 49 to 25 computations (49% saved)
ival-mult: 7.0ms (70.3% of total)ival-sub: 2.0ms (20.1% of total)ival-true: 0.0ms (0% of total)adjust: 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 |
|---|---|---|
| ▶ | 95.9% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
Compiled 7 to 7 computations (0% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) | |
| cost-diff | 0 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 0 | 10 | 19 |
| 1 | 17 | 19 |
| 2 | 32 | 19 |
| 3 | 69 | 19 |
| 4 | 165 | 19 |
| 5 | 341 | 19 |
| 6 | 431 | 19 |
| 7 | 512 | 19 |
| 8 | 548 | 19 |
| 0 | 548 | 19 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
#s(literal 1 binary64) |
(*.f64 y z) |
y |
z |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 y z)) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
#s(literal 1 binary64) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) | |
| accuracy | 0.0 | (*.f64 y z) | |
| accuracy | 2.6552751551083196 | (*.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 (63.6% of total)ival-sub: 1.0ms (21.2% of total)ival-true: 0.0ms (0% of total)adjust: 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 | |
|---|---|---|---|---|
| 15.0ms | y | @ | -inf | ((* x (- 1 (* y z))) (- 1 (* y z)) (* y z)) |
| 2.0ms | z | @ | 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 | 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× | 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)))) |
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(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 z) (*.f64 (*.f64 y y) z)) (fma.f64 z y #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 z y #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y #s(literal 1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))) (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 z y)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (neg.f64 y) z) #s(literal 1 binary64)) |
(+.f64 (*.f64 z y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 z)) y)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) z)) |
(+.f64 #s(literal 1 binary64) (*.f64 z y)) |
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z y) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 y))) |
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 z))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))) (fabs.f64 z)) |
(*.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) z)) (fabs.f64 y)) |
(*.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) y)) (fabs.f64 z)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) z) (neg.f64 y))) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) z) z)) (sqrt.f64 (neg.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 y) z)) (sqrt.f64 (*.f64 (neg.f64 y) z))) |
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (*.f64 z (*.f64 (neg.f64 y) z)))) |
(*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 y y) z)) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) z)))) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (*.f64 y y) z))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 z z) y)) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 z z) y))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 y))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 z))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (fabs.f64 z) (fabs.f64 y)) |
(*.f64 (fabs.f64 y) (fabs.f64 z)) |
(*.f64 (*.f64 z y) #s(literal 1 binary64)) |
(*.f64 z y) |
(*.f64 y z) |
(*.f64 #s(literal 1 binary64) (*.f64 z y)) |
(pow.f64 (*.f64 (neg.f64 y) z) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 z y) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) z)) |
(sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 (neg.f64 y) z)) |
(fabs.f64 (*.f64 z y)) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 z y))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 z y))) (sinh.f64 (log.f64 (*.f64 z y)))) |
Compiled 11 122 to 1 216 computations (89.1% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 386 | 5 | 391 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 386 | 6 | 392 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 95.8% | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
| ▶ | 95.8% | (fma.f64 (*.f64 x z) (neg.f64 y) x) |
| ✓ | 95.9% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| ▶ | 65.5% | (*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) (fma.f64 z y #s(literal 1 binary64))))) |
| ▶ | 46.1% | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) |
| ▶ | 52.2% | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
Compiled 121 to 97 computations (19.8% 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 y y) z)) z) (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 y y) z)) z) (fma.f64 z y #s(literal 1 binary64)))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 x z) | |
| cost-diff | 0 | (fma.f64 (*.f64 x z) (neg.f64 y) x) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) z) | |
| cost-diff | 0 | #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) | |
| cost-diff | 0 | #s(approx (- 1 (* y z)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 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 | 26 | 172 |
| 0 | 46 | 172 |
| 1 | 91 | 162 |
| 2 | 212 | 160 |
| 3 | 656 | 160 |
| 4 | 2265 | 160 |
| 5 | 3912 | 160 |
| 6 | 4766 | 160 |
| 7 | 7219 | 160 |
| 0 | 8279 | 160 |
| 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) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) |
x |
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
(fma.f64 (*.f64 x z) (neg.f64 y) x) |
(*.f64 x z) |
x |
z |
(neg.f64 y) |
y |
(*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) (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 y y) z)) z) (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 y y) z)) z) (fma.f64 z y #s(literal 1 binary64))) |
(*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) |
(neg.f64 (*.f64 (*.f64 y y) z)) |
(*.f64 (*.f64 y y) z) |
(*.f64 y y) |
| 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) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) |
(*.f64 #s(approx (- 1 (* y z)) (*.f64 z (neg.f64 y))) x) |
x |
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)) |
#s(approx (- 1 (* y z)) (*.f64 z (neg.f64 y))) |
(*.f64 (neg.f64 y) z) |
(*.f64 z (neg.f64 y)) |
(neg.f64 y) |
y |
z |
(fma.f64 (*.f64 x z) (neg.f64 y) x) |
(fma.f64 z (*.f64 (neg.f64 y) x) x) |
(*.f64 x z) |
(*.f64 z x) |
x |
z |
(neg.f64 y) |
y |
(*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) (fma.f64 z y #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (neg.f64 z) (*.f64 (*.f64 y y) z) #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 y y) z)) z) (fma.f64 z y #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 z z) (*.f64 y 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 y y) z)) z) (fma.f64 z y #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 z (fma.f64 z y #s(literal 1 binary64))) y) z) (neg.f64 y)) |
(*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) |
(*.f64 (*.f64 (*.f64 z (neg.f64 y)) y) z) |
(neg.f64 (*.f64 (*.f64 y y) z)) |
(*.f64 (*.f64 z (neg.f64 y)) y) |
(*.f64 (*.f64 y y) z) |
(*.f64 y y) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.6552751551083196 | (*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) (fma.f64 z y #s(literal 1 binary64))))) | |
| accuracy | 3.5475028992928177 | (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) | |
| accuracy | 6.947897581509531 | (*.f64 (*.f64 y y) z) | |
| accuracy | 18.57615527540908 | (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) (fma.f64 z y #s(literal 1 binary64))) | |
| accuracy | 0.0 | (*.f64 x z) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 2.6650396740397446 | (fma.f64 (*.f64 x z) (neg.f64 y) x) | |
| accuracy | 0.0 | (*.f64 (neg.f64 y) z) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 2.6552751551083196 | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) | |
| accuracy | 32.08849047399191 | #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)) | |
| accuracy | 2.6552751551083196 | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) | |
| accuracy | 30.714632484862975 | #s(approx (- 1 (* y z)) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 x (neg.f64 y)) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 2.6631185595114597 | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
| 71.0ms | 256× | 0 | valid |
Compiled 169 to 28 computations (83.4% saved)
ival-mult: 20.0ms (48.4% of total)ival-add: 13.0ms (31.5% of total)ival-pow: 3.0ms (7.3% of total)ival-neg: 2.0ms (4.8% of total)ival-div: 1.0ms (2.4% of total)ival-sub: 1.0ms (2.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 x (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)) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) |
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(fma.f64 (*.f64 x z) (neg.f64 y) x) |
(*.f64 x z) |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) (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 y y) z)) z) (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 (neg.f64 (*.f64 (*.f64 y y) z)) z) (fma.f64 z y #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) z) |
(*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) |
| 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))) |
(* -1 (* y z)) |
(+ 1 (* y (- (* y (pow z 2)) z))) |
(+ 1 (* y (- (* y (- (* -1 (* y (pow z 3))) (* -1 (pow z 2)))) z))) |
(+ 1 (* y 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))))) |
(* (pow y 2) z) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* 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) |
(* 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)))) |
(* -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)))) |
(* -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 | |
|---|---|---|---|---|
| 145.0ms | x | @ | 0 | ((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (+ (* (* x z) (neg y)) x) (* x z) (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1))) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1)) (* (* y y) z) (* (neg (* (* y y) z)) z)) |
| 7.0ms | y | @ | inf | ((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (+ (* (* x z) (neg y)) x) (* x z) (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1))) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1)) (* (* y y) z) (* (neg (* (* y y) z)) z)) |
| 4.0ms | z | @ | inf | ((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (+ (* (* x z) (neg y)) x) (* x z) (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1))) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1)) (* (* y y) z) (* (neg (* (* y y) z)) z)) |
| 4.0ms | y | @ | 0 | ((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (+ (* (* x z) (neg y)) x) (* x z) (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1))) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1)) (* (* y y) z) (* (neg (* (* y y) z)) z)) |
| 4.0ms | z | @ | -inf | ((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg y) z) (+ (* (* x z) (neg y)) x) (* x z) (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1))) (* x (+ (pow (+ (* z y) 1) -1) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (/ (* (neg (* (* y y) z)) z) (+ (* z y) 1)) (* (* y y) z) (* (neg (* (* y y) z)) z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 245 | 819 |
| 1 | 795 | 775 |
| 2 | 2340 | 754 |
| 3 | 7060 | 714 |
| 0 | 8190 | 702 |
| 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))) |
(* -1 (* y z)) |
(+ 1 (* y (- (* y (pow z 2)) z))) |
(+ 1 (* y (- (* y (- (* -1 (* y (pow z 3))) (* -1 (pow z 2)))) z))) |
(+ 1 (* y 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))))) |
(* (pow y 2) z) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* 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) |
(* 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)))) |
(* -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)))) |
(* -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 x (-.f64 #s(literal 1 binary64) (*.f64 z y))) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* x (- 1 (* y z))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y))) |
(* x z) |
(*.f64 x z) |
(* 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 x (-.f64 #s(literal 1 binary64) (*.f64 z y))) |
(* -1 y) |
(neg.f64 y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y z))) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(+ 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 (fma.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) y (*.f64 z z)) y) z) y #s(literal 1 binary64)) |
(+ 1 (* y z)) |
(fma.f64 z y #s(literal 1 binary64)) |
(* -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 (*.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)) y) y) |
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (+ (* y (+ (* -1 (pow z 4)) (* y (pow z 5)))) (pow z 3))))) |
(*.f64 (*.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)) y) y) |
(* (pow y 2) z) |
(*.f64 (*.f64 y y) z) |
(* -1 (* x (* y z))) |
(*.f64 x (*.f64 (neg.f64 y) z)) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y))) |
(* y (- (/ 1 y) z)) |
(-.f64 #s(literal 1 binary64) (*.f64 z y)) |
(* 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) |
(*.f64 z y) |
(* y (+ z (/ 1 y))) |
(fma.f64 z y #s(literal 1 binary64)) |
(* y (- (+ (* -1 z) (/ 1 y)) (/ 1 (* (pow y 2) z)))) |
(fma.f64 (neg.f64 y) z (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y))) |
(* y (- (+ (* -1 z) (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2))))) (/ 1 (* (pow y 2) z)))) |
(neg.f64 (fma.f64 z y (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (*.f64 z y)) #s(literal -1 binary64)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y))) |
(* -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 z #s(literal 3 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) z)) (neg.f64 y)) |
(* -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)))) |
(*.f64 (neg.f64 y) (-.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* y (+ z (* -1 (/ (- 1 (/ 1 (* y z))) y))))) |
(fma.f64 (neg.f64 y) z (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y))) |
(* -1 (* y (+ z (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y))) y))))) |
(neg.f64 (fma.f64 z y (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (*.f64 z y)) #s(literal -1 binary64)))) |
(+ 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 (*.f64 (*.f64 (neg.f64 y) y) (fma.f64 z y #s(literal -1 binary64))) 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 x (-.f64 #s(literal 1 binary64) (*.f64 z y))) |
(* 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))))) |
(fma.f64 (neg.f64 y) z (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y))) |
(* z (- (+ (* -1 y) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3))))) (/ 1 (* y (pow z 2))))) |
(neg.f64 (fma.f64 z y (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (*.f64 z y)) #s(literal -1 binary64)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.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 z #s(literal 3 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) z)) (neg.f64 y)) |
(* -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)))) |
(*.f64 (-.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)) |
(* -1 (* z (+ y (* -1 (/ (- 1 (/ 1 (* y z))) z))))) |
(fma.f64 (neg.f64 y) z (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z))) z))))) |
(neg.f64 (fma.f64 z y (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (*.f64 z y)) #s(literal -1 binary64)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 143 |
| 0 | 46 | 128 |
| 1 | 169 | 117 |
| 2 | 951 | 109 |
| 0 | 9375 | 109 |
| 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)) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) |
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(fma.f64 (*.f64 x z) (neg.f64 y) x) |
(*.f64 x z) |
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) (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 y y) z)) z) (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 (neg.f64 (*.f64 (*.f64 y y) z)) z) (fma.f64 z y #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) z) |
(*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) z) |
| Outputs |
|---|
(*.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 z (neg.f64 y) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z (neg.f64 y)) x) x)) (/.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z (neg.f64 y)) x) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z (neg.f64 y)) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z (neg.f64 y)) x) x)))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z (neg.f64 y)) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z (neg.f64 y)) x) x)))) |
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(+.f64 (*.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (neg.f64 y)) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (neg.f64 y)) #s(literal 3 binary64)) #s(literal -1 binary64))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (neg.f64 y)) #s(literal 3 binary64)) #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 (neg.f64 y)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (neg.f64 y)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 z (neg.f64 y) #s(literal 1 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (neg.f64 y)) #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (neg.f64 z)) (*.f64 y y)) |
(*.f64 (neg.f64 z) (*.f64 (neg.f64 y) y)) |
(*.f64 (*.f64 (neg.f64 y) y) (neg.f64 z)) |
(*.f64 (*.f64 (*.f64 y y) z) #s(literal 1 binary64)) |
(*.f64 (*.f64 y y) (neg.f64 (neg.f64 z))) |
(*.f64 (*.f64 y y) z) |
(*.f64 (*.f64 z (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 z y) y) |
(*.f64 z (*.f64 y y)) |
(*.f64 (neg.f64 y) (*.f64 z (neg.f64 y))) |
(*.f64 y (*.f64 z y)) |
(neg.f64 (*.f64 (*.f64 z (neg.f64 y)) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)) (*.f64 z z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (neg.f64 y)) y)) z) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) z)) (neg.f64 z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (neg.f64 z) z)) |
(*.f64 (*.f64 (*.f64 z (neg.f64 y)) z) y) |
(*.f64 (neg.f64 (*.f64 (*.f64 z y) z)) y) |
(*.f64 (neg.f64 (neg.f64 z)) (*.f64 (*.f64 z (neg.f64 y)) y)) |
(*.f64 (*.f64 z (neg.f64 z)) (*.f64 y y)) |
(*.f64 (neg.f64 (*.f64 (fabs.f64 z) y)) (*.f64 (fabs.f64 z) y)) |
(*.f64 (*.f64 z z) (*.f64 (neg.f64 y) y)) |
(*.f64 (*.f64 (neg.f64 z) z) (*.f64 y y)) |
(*.f64 (*.f64 (*.f64 z y) z) (neg.f64 y)) |
(*.f64 (*.f64 (fabs.f64 z) y) (neg.f64 (*.f64 (fabs.f64 z) y))) |
(*.f64 (neg.f64 z) (*.f64 (*.f64 y y) z)) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 z z)) |
(*.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 z (neg.f64 y)) y) (neg.f64 (neg.f64 z))) |
(*.f64 (*.f64 (*.f64 z (neg.f64 y)) y) z) |
(*.f64 (*.f64 (*.f64 y y) z) (neg.f64 z)) |
(*.f64 (*.f64 y y) (*.f64 (neg.f64 z) z)) |
(*.f64 (*.f64 z (neg.f64 y)) (*.f64 z y)) |
(*.f64 (*.f64 z y) (*.f64 z (neg.f64 y))) |
(*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) |
(*.f64 z (*.f64 (*.f64 z (neg.f64 y)) y)) |
(*.f64 (neg.f64 y) (*.f64 (*.f64 z y) z)) |
(*.f64 y (neg.f64 (*.f64 (*.f64 z y) z))) |
(neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) |
Compiled 19 443 to 2 083 computations (89.3% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 593 | 1 | 594 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 594 | 6 | 600 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.9% | (fma.f64 (*.f64 x (*.f64 (*.f64 z (neg.f64 y)) y)) (/.f64 z (fma.f64 z y #s(literal 1 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
| ✓ | 95.8% | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
| ✓ | 95.8% | (fma.f64 (*.f64 x z) (neg.f64 y) x) |
| ✓ | 95.9% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| ✓ | 46.1% | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) |
| ✓ | 52.2% | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
Compiled 63 to 50 computations (20.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 (*.f64 z (neg.f64 y)) y) | |
| cost-diff | 0 | (*.f64 x (*.f64 (*.f64 z (neg.f64 y)) y)) | |
| cost-diff | 5 | (fma.f64 (*.f64 x (*.f64 (*.f64 z (neg.f64 y)) y)) (/.f64 z (fma.f64 z y #s(literal 1 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 61 |
| 0 | 22 | 61 |
| 1 | 40 | 57 |
| 2 | 108 | 56 |
| 3 | 486 | 56 |
| 4 | 1828 | 56 |
| 5 | 2577 | 56 |
| 6 | 3099 | 56 |
| 7 | 3330 | 56 |
| 8 | 3883 | 56 |
| 9 | 5580 | 56 |
| 0 | 8068 | 56 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x (*.f64 (*.f64 z (neg.f64 y)) y)) (/.f64 z (fma.f64 z y #s(literal 1 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
(*.f64 x (*.f64 (*.f64 z (neg.f64 y)) y)) |
x |
(*.f64 (*.f64 z (neg.f64 y)) y) |
(*.f64 z (neg.f64 y)) |
z |
(neg.f64 y) |
y |
(/.f64 z (fma.f64 z y #s(literal 1 binary64))) |
(fma.f64 z y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 x (fma.f64 z y #s(literal 1 binary64))) |
| Outputs |
|---|
(fma.f64 (*.f64 x (*.f64 (*.f64 z (neg.f64 y)) y)) (/.f64 z (fma.f64 z y #s(literal 1 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 z z) y) y #s(literal -1 binary64)) (/.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) |
(*.f64 x (*.f64 (*.f64 z (neg.f64 y)) y)) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x) |
x |
(*.f64 (*.f64 z (neg.f64 y)) y) |
(*.f64 (*.f64 (neg.f64 y) z) y) |
(*.f64 z (neg.f64 y)) |
(*.f64 (neg.f64 y) z) |
z |
(neg.f64 y) |
y |
(/.f64 z (fma.f64 z y #s(literal 1 binary64))) |
(/.f64 z (fma.f64 y z #s(literal 1 binary64))) |
(fma.f64 z y #s(literal 1 binary64)) |
(fma.f64 y z #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 x (fma.f64 z y #s(literal 1 binary64))) |
(/.f64 x (fma.f64 y z #s(literal 1 binary64))) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.071500167260374 | (/.f64 x (fma.f64 z y #s(literal 1 binary64))) | |
| accuracy | 6.169299626616109 | (fma.f64 (*.f64 x (*.f64 (*.f64 z (neg.f64 y)) y)) (/.f64 z (fma.f64 z y #s(literal 1 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) | |
| accuracy | 7.605238462419246 | (*.f64 x (*.f64 (*.f64 z (neg.f64 y)) y)) | |
| accuracy | 8.985559944696947 | (/.f64 z (fma.f64 z y #s(literal 1 binary64))) |
| 155.0ms | 256× | 0 | valid |
Compiled 69 to 16 computations (76.8% saved)
ival-mult: 138.0ms (95.2% of total)ival-div: 3.0ms (2.1% of total)ival-add: 2.0ms (1.4% of total)ival-neg: 1.0ms (0.7% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 x (*.f64 (*.f64 z (neg.f64 y)) y)) (/.f64 z (fma.f64 z y #s(literal 1 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
(*.f64 x (*.f64 (*.f64 z (neg.f64 y)) y)) |
(*.f64 (*.f64 z (neg.f64 y)) y) |
(*.f64 z (neg.f64 y)) |
(/.f64 z (fma.f64 z y #s(literal 1 binary64))) |
(/.f64 x (fma.f64 z y #s(literal 1 binary64))) |
| Outputs |
|---|
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(* -1 (* x (* (pow y 2) z))) |
(/ x (+ 1 (* y z))) |
(* -1 (* x (- (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z))) (/ 1 (+ 1 (* y z)))))) |
x |
(+ x (* -1 (* x (* y z)))) |
(* -1 (* (pow y 2) z)) |
(* -1 (* y z)) |
z |
(+ z (* -1 (* y (pow z 2)))) |
(+ z (* y (- (* y (pow z 3)) (pow z 2)))) |
(+ z (* y (- (* y (- (* -1 (* y (pow z 4))) (* -1 (pow z 3)))) (pow z 2)))) |
(+ x (* y (- (* x (* y (pow z 2))) (* x z)))) |
(+ x (* y (- (* y (- (* -1 (* x (* y (pow z 3)))) (* -1 (* x (pow z 2))))) (* x z)))) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (+ (* -1 (/ x (* (pow y 2) z))) (+ (/ x y) (/ x (* (pow y 2) z)))))) |
(/ 1 y) |
(/ (- 1 (/ 1 (* y z))) y) |
(/ (- (+ 1 (/ 1 (* (pow y 2) (pow z 2)))) (/ 1 (* y z))) y) |
(/ (- (+ 1 (/ 1 (* (pow y 2) (pow z 2)))) (+ (/ 1 (* y z)) (/ 1 (* (pow y 3) (pow z 3))))) y) |
(/ x (* y z)) |
(/ (+ (* -1 (/ x (* y (pow z 2)))) (/ x z)) y) |
(/ (- (+ (/ x z) (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2)))) y) |
(/ (- (+ (* -1 (/ x (* (pow y 3) (pow z 4)))) (/ x z)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2))))) y) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ x z)) (/ x z)) y))) y)) (* x z)))) |
(* -1 (/ (- (/ 1 (* y z)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z)) y)) 1) y)) |
(* -1 (/ (+ (* -1 (/ x z)) (/ x (* y (pow z 2)))) y)) |
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (- (/ x (* y (pow z 3))) (/ x (pow z 2))) y))) y)) |
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (- (* -1 (/ (- (/ x (* y (pow z 4))) (/ x (pow z 3))) y)) (/ x (pow z 2))) y))) y)) |
(* z (+ 1 (* -1 (* y z)))) |
(* z (+ 1 (* z (- (* (pow y 2) z) y)))) |
(* z (+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y)))) |
(+ x (* z (- (* x (* (pow y 2) z)) (* x y)))) |
(+ x (* z (- (* z (- (* -1 (* x (* (pow y 3) z))) (* -1 (* x (pow y 2))))) (* x y)))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (+ (* -1 (/ x (* y (pow z 2)))) (+ (/ x z) (/ x (* y (pow z 2))))))) |
(- (/ 1 y) (/ 1 (* (pow y 2) z))) |
(- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) |
(- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3))))) |
(/ (+ (* -1 (/ x (* (pow y 2) z))) (/ x y)) z) |
(/ (- (+ (/ x y) (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z))) z) |
(/ (- (+ (* -1 (/ x (* (pow y 4) (pow z 3)))) (/ x y)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z)))) z) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z))) z)) (* x y)))) |
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* (pow y 3) z))) z)) (/ 1 y)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* (pow y 4) z))) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) |
(* -1 (/ (+ (* -1 (/ x y)) (/ x (* (pow y 2) z))) z)) |
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (/ x (* (pow y 3) z)) (/ x (pow y 2))) z))) z)) |
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (* -1 (/ (- (/ x (* (pow y 4) z)) (/ x (pow y 3))) z)) (/ x (pow y 2))) z))) z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | y | @ | 0 | ((+ (* (* x (* (* z (neg y)) y)) (/ z (+ (* z y) 1))) (/ x (+ (* z y) 1))) (* x (* (* z (neg y)) y)) (* (* z (neg y)) y) (* z (neg y)) (/ z (+ (* z y) 1)) (/ x (+ (* z y) 1))) |
| 28.0ms | y | @ | inf | ((+ (* (* x (* (* z (neg y)) y)) (/ z (+ (* z y) 1))) (/ x (+ (* z y) 1))) (* x (* (* z (neg y)) y)) (* (* z (neg y)) y) (* z (neg y)) (/ z (+ (* z y) 1)) (/ x (+ (* z y) 1))) |
| 8.0ms | z | @ | 0 | ((+ (* (* x (* (* z (neg y)) y)) (/ z (+ (* z y) 1))) (/ x (+ (* z y) 1))) (* x (* (* z (neg y)) y)) (* (* z (neg y)) y) (* z (neg y)) (/ z (+ (* z y) 1)) (/ x (+ (* z y) 1))) |
| 3.0ms | z | @ | inf | ((+ (* (* x (* (* z (neg y)) y)) (/ z (+ (* z y) 1))) (/ x (+ (* z y) 1))) (* x (* (* z (neg y)) y)) (* (* z (neg y)) y) (* z (neg y)) (/ z (+ (* z y) 1)) (/ x (+ (* z y) 1))) |
| 3.0ms | x | @ | 0 | ((+ (* (* x (* (* z (neg y)) y)) (/ z (+ (* z y) 1))) (/ x (+ (* z y) 1))) (* x (* (* z (neg y)) y)) (* (* z (neg y)) y) (* z (neg y)) (/ z (+ (* z y) 1)) (/ x (+ (* z y) 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 271 | 909 |
| 1 | 848 | 866 |
| 2 | 2687 | 770 |
| 3 | 7409 | 762 |
| 0 | 8123 | 750 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(* -1 (* x (* (pow y 2) z))) |
(/ x (+ 1 (* y z))) |
(* -1 (* x (- (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z))) (/ 1 (+ 1 (* y z)))))) |
x |
(+ x (* -1 (* x (* y z)))) |
(* -1 (* (pow y 2) z)) |
(* -1 (* y z)) |
z |
(+ z (* -1 (* y (pow z 2)))) |
(+ z (* y (- (* y (pow z 3)) (pow z 2)))) |
(+ z (* y (- (* y (- (* -1 (* y (pow z 4))) (* -1 (pow z 3)))) (pow z 2)))) |
(+ x (* y (- (* x (* y (pow z 2))) (* x z)))) |
(+ x (* y (- (* y (- (* -1 (* x (* y (pow z 3)))) (* -1 (* x (pow z 2))))) (* x z)))) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (+ (* -1 (/ x (* (pow y 2) z))) (+ (/ x y) (/ x (* (pow y 2) z)))))) |
(/ 1 y) |
(/ (- 1 (/ 1 (* y z))) y) |
(/ (- (+ 1 (/ 1 (* (pow y 2) (pow z 2)))) (/ 1 (* y z))) y) |
(/ (- (+ 1 (/ 1 (* (pow y 2) (pow z 2)))) (+ (/ 1 (* y z)) (/ 1 (* (pow y 3) (pow z 3))))) y) |
(/ x (* y z)) |
(/ (+ (* -1 (/ x (* y (pow z 2)))) (/ x z)) y) |
(/ (- (+ (/ x z) (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2)))) y) |
(/ (- (+ (* -1 (/ x (* (pow y 3) (pow z 4)))) (/ x z)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2))))) y) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ x z)) (/ x z)) y))) y)) (* x z)))) |
(* -1 (/ (- (/ 1 (* y z)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z)) y)) 1) y)) |
(* -1 (/ (+ (* -1 (/ x z)) (/ x (* y (pow z 2)))) y)) |
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (- (/ x (* y (pow z 3))) (/ x (pow z 2))) y))) y)) |
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (- (* -1 (/ (- (/ x (* y (pow z 4))) (/ x (pow z 3))) y)) (/ x (pow z 2))) y))) y)) |
(* z (+ 1 (* -1 (* y z)))) |
(* z (+ 1 (* z (- (* (pow y 2) z) y)))) |
(* z (+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y)))) |
(+ x (* z (- (* x (* (pow y 2) z)) (* x y)))) |
(+ x (* z (- (* z (- (* -1 (* x (* (pow y 3) z))) (* -1 (* x (pow y 2))))) (* x y)))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (+ (* -1 (/ x (* y (pow z 2)))) (+ (/ x z) (/ x (* y (pow z 2))))))) |
(- (/ 1 y) (/ 1 (* (pow y 2) z))) |
(- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) |
(- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3))))) |
(/ (+ (* -1 (/ x (* (pow y 2) z))) (/ x y)) z) |
(/ (- (+ (/ x y) (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z))) z) |
(/ (- (+ (* -1 (/ x (* (pow y 4) (pow z 3)))) (/ x y)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z)))) z) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z))) z)) (* x y)))) |
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* (pow y 3) z))) z)) (/ 1 y)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* (pow y 4) z))) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) |
(* -1 (/ (+ (* -1 (/ x y)) (/ x (* (pow y 2) z))) z)) |
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (/ x (* (pow y 3) z)) (/ x (pow y 2))) z))) z)) |
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (* -1 (/ (- (/ x (* (pow y 4) z)) (/ x (pow y 3))) z)) (/ x (pow y 2))) z))) z)) |
| Outputs |
|---|
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y z) z) #s(literal 1 binary64)) x) (fma.f64 y z #s(literal 1 binary64))) |
(* -1 (* x (* (pow y 2) z))) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 y z) y)) |
(/ x (+ 1 (* y z))) |
(/.f64 x (fma.f64 y z #s(literal 1 binary64))) |
(* -1 (* x (- (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z))) (/ 1 (+ 1 (* y z)))))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y z) z) #s(literal 1 binary64)) x) (fma.f64 y z #s(literal 1 binary64))) |
x |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) |
(* -1 (* (pow y 2) z)) |
(*.f64 (neg.f64 y) (*.f64 y z)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
z |
(+ z (* -1 (* y (pow z 2)))) |
(-.f64 z (*.f64 (*.f64 y z) z)) |
(+ z (* y (- (* y (pow z 3)) (pow z 2)))) |
(fma.f64 (*.f64 z (fma.f64 (*.f64 y z) z (neg.f64 z))) y z) |
(+ z (* y (- (* y (- (* -1 (* y (pow z 4))) (* -1 (pow z 3)))) (pow z 2)))) |
(fma.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)) y z) |
(+ x (* y (- (* x (* y (pow z 2))) (* x z)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y z) z (neg.f64 z)) y) x x) |
(+ x (* y (- (* y (- (* -1 (* x (* y (pow z 3)))) (* -1 (* x (pow z 2))))) (* x z)))) |
(fma.f64 (fma.f64 (neg.f64 x) z (*.f64 (*.f64 x (fma.f64 z z (*.f64 (neg.f64 y) (pow.f64 z #s(literal 3 binary64))))) y)) y x) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 y z)) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) z (/.f64 x y)) y) |
(* y (+ (* -1 (* x z)) (+ (* -1 (/ x (* (pow y 2) z))) (+ (/ x y) (/ x (* (pow y 2) z)))))) |
(*.f64 (fma.f64 (neg.f64 x) z (-.f64 (/.f64 x y) #s(literal 0 binary64))) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (- 1 (/ 1 (* y z))) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) y) |
(/ (- (+ 1 (/ 1 (* (pow y 2) (pow z 2)))) (/ 1 (* y z))) y) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) z) (/.f64 #s(literal 1 binary64) z)) y) #s(literal 1 binary64)) y) |
(/ (- (+ 1 (/ 1 (* (pow y 2) (pow z 2)))) (+ (/ 1 (* y z)) (/ 1 (* (pow y 3) (pow z 3))))) y) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) z) (/.f64 #s(literal 1 binary64) z)) y) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) #s(literal 1 binary64))) y) |
(/ x (* y z)) |
(/.f64 (/.f64 x z) y) |
(/ (+ (* -1 (/ x (* y (pow z 2)))) (/ x z)) y) |
(/.f64 (fma.f64 (/.f64 (/.f64 x z) y) #s(literal -1 binary64) x) (*.f64 y z)) |
(/ (- (+ (/ x z) (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2)))) y) |
(/.f64 (-.f64 (/.f64 x z) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 x z) y) #s(literal -1 binary64) x) (*.f64 y z)) z)) y) |
(/ (- (+ (* -1 (/ x (* (pow y 3) (pow z 4)))) (/ x z)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2))))) y) |
(/.f64 (-.f64 (-.f64 (/.f64 x z) (/.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 x z) y) #s(literal -1 binary64) x) (*.f64 y z)) z)) y) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(*.f64 (fma.f64 (neg.f64 x) z (/.f64 x y)) y) |
(* -1 (* y (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ x z)) (/ x z)) y))) y)) (* x z)))) |
(*.f64 (fma.f64 (neg.f64 x) z (-.f64 (/.f64 x y) #s(literal 0 binary64))) y) |
(* -1 (/ (- (/ 1 (* y z)) 1) y)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (neg.f64 y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y)) 1) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) z) (/.f64 #s(literal 1 binary64) z)) (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z)) y)) 1) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) z)) (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 (/ x z)) (/ x (* y (pow z 2)))) y)) |
(/.f64 (fma.f64 (/.f64 (/.f64 x z) y) #s(literal -1 binary64) x) (*.f64 y z)) |
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (- (/ x (* y (pow z 3))) (/ x (pow z 2))) y))) y)) |
(/.f64 (-.f64 (/.f64 x z) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 x z) y) #s(literal -1 binary64) x) (*.f64 y z)) z)) y) |
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (- (* -1 (/ (- (/ x (* y (pow z 4))) (/ x (pow z 3))) y)) (/ x (pow z 2))) y))) y)) |
(/.f64 (-.f64 (-.f64 (/.f64 x z) (/.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 x z) y) #s(literal -1 binary64) x) (*.f64 y z)) z)) y) |
(* z (+ 1 (* -1 (* y z)))) |
(-.f64 z (*.f64 (*.f64 y z) z)) |
(* z (+ 1 (* z (- (* (pow y 2) z) y)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 y z) y) y) z #s(literal 1 binary64)) z) |
(* z (+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y)))) |
(*.f64 (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)) z) |
(+ x (* z (- (* x (* (pow y 2) z)) (* x y)))) |
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 y z) y) y) x) z x) |
(+ x (* z (- (* z (- (* -1 (* x (* (pow y 3) z))) (* -1 (* x (pow y 2))))) (* x y)))) |
(fma.f64 (fma.f64 (neg.f64 x) y (*.f64 (*.f64 x (fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) z (*.f64 y y))) z)) z x) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z) |
(* z (+ (* -1 (* x y)) (+ (* -1 (/ x (* y (pow z 2)))) (+ (/ x z) (/ x (* y (pow z 2))))))) |
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 (-.f64 x #s(literal 0 binary64)) z)) z) |
(- (/ 1 y) (/ 1 (* (pow y 2) z))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) y) |
(- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) z) (/.f64 #s(literal 1 binary64) z)) y) #s(literal 1 binary64)) y) |
(- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3))))) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) z) (/.f64 #s(literal 1 binary64) z)) y) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) #s(literal 1 binary64))) y) |
(/ (+ (* -1 (/ x (* (pow y 2) z))) (/ x y)) z) |
(/.f64 (fma.f64 (/.f64 (/.f64 x z) y) #s(literal -1 binary64) x) (*.f64 y z)) |
(/ (- (+ (/ x y) (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z))) z) |
(/.f64 (-.f64 (/.f64 x z) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 x z) y) #s(literal -1 binary64) x) (*.f64 y z)) z)) y) |
(/ (- (+ (* -1 (/ x (* (pow y 4) (pow z 3)))) (/ x y)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z)))) z) |
(/.f64 (-.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 x z) y) #s(literal -1 binary64) x) (*.f64 y z)) y)) z) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z))) z)) (* x y)))) |
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 (-.f64 x #s(literal 0 binary64)) z)) z) |
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* (pow y 3) z))) z)) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) z)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* (pow y 4) z))) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) z))) z)) z)) |
(* -1 (/ (+ (* -1 (/ x y)) (/ x (* (pow y 2) z))) z)) |
(/.f64 (fma.f64 (/.f64 (/.f64 x z) y) #s(literal -1 binary64) x) (*.f64 y z)) |
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (/ x (* (pow y 3) z)) (/ x (pow y 2))) z))) z)) |
(/.f64 (-.f64 (/.f64 x z) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 x z) y) #s(literal -1 binary64) x) (*.f64 y z)) z)) y) |
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (* -1 (/ (- (/ x (* (pow y 4) z)) (/ x (pow y 3))) z)) (/ x (pow y 2))) z))) z)) |
(/.f64 (-.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 x z) y) #s(literal -1 binary64) x) (*.f64 y z)) y)) z) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 51 |
| 0 | 22 | 51 |
| 1 | 71 | 47 |
| 2 | 485 | 44 |
| 3 | 7751 | 44 |
| 0 | 8806 | 44 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x (*.f64 (*.f64 z (neg.f64 y)) y)) (/.f64 z (fma.f64 z y #s(literal 1 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
(*.f64 x (*.f64 (*.f64 z (neg.f64 y)) y)) |
(*.f64 (*.f64 z (neg.f64 y)) y) |
(*.f64 z (neg.f64 y)) |
(/.f64 z (fma.f64 z y #s(literal 1 binary64))) |
(/.f64 x (fma.f64 z y #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 x (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 x (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x)) (neg.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (*.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 x (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x)) (neg.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 x (*.f64 (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 x (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x)) (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 y z) #s(literal 4 binary64))) (*.f64 x x)) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (/.f64 (-.f64 x (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x)) (fma.f64 y z #s(literal 1 binary64))) (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x) (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 y z) #s(literal 4 binary64))) (*.f64 x x)) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 (fma.f64 (neg.f64 z) y #s(literal -1 binary64)) x) (neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (*.f64 (fma.f64 (neg.f64 z) y #s(literal -1 binary64)) (neg.f64 x)))) (neg.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 y z) #s(literal 4 binary64))) (*.f64 x x)) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) x) (neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (*.f64 (fma.f64 (neg.f64 z) y #s(literal -1 binary64)) x))) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 y z) #s(literal 4 binary64))) (*.f64 x x)) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) x) x)) (fma.f64 y z #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) y #s(literal -1 binary64))) #s(literal 4 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) x) x)) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x) (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) x) x)) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) x) x)) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) y #s(literal -1 binary64))) #s(literal 6 binary64)))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) x) x)) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) x) x)) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x) (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) y #s(literal -1 binary64))) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 y z) #s(literal 4 binary64))) (*.f64 x x)) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 y z) #s(literal 4 binary64))) (*.f64 x x)) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 x (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x)) (fma.f64 y z #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 y z) #s(literal 1 binary64)) (fma.f64 x (/.f64 (neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 x (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (*.f64 y z) #s(literal 1 binary64)) (+.f64 (/.f64 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)) x) (neg.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 (neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) x)) (fma.f64 y z #s(literal 1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x) (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 x (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x)) (fma.f64 y z #s(literal 1 binary64))) (fma.f64 (/.f64 (-.f64 x (*.f64 (neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) x)) (fma.f64 y z #s(literal 1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x) (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (/.f64 (neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 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)) x) (neg.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (-.f64 x (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x)) (fma.f64 y z #s(literal 1 binary64))) (/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) x) x) (fma.f64 y z #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) x) x) (fma.f64 y z #s(literal 1 binary64))))) |
(/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 z) y #s(literal -1 binary64)) x) (neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (fma.f64 y z #s(literal 1 binary64)))) (fma.f64 y z #s(literal 1 binary64))) (fma.f64 (neg.f64 z) y #s(literal -1 binary64))) |
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(*.f64 (*.f64 (*.f64 y x) (neg.f64 y)) z) |
(*.f64 (*.f64 (*.f64 y x) y) (neg.f64 z)) |
(*.f64 (*.f64 y (*.f64 z x)) (neg.f64 y)) |
(*.f64 (*.f64 y x) (*.f64 (neg.f64 y) z)) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) z) |
(*.f64 (*.f64 (neg.f64 y) x) (*.f64 y z)) |
(*.f64 (*.f64 z x) (*.f64 (neg.f64 y) y)) |
(*.f64 (*.f64 (*.f64 y z) x) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 z x)) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) z) x) y) |
(*.f64 (neg.f64 z) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y z) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x) |
(*.f64 (*.f64 (neg.f64 y) z) (*.f64 y x)) |
(*.f64 (neg.f64 y) (*.f64 z (*.f64 y x))) |
(*.f64 (neg.f64 y) (*.f64 (*.f64 y z) x)) |
(*.f64 y (*.f64 (*.f64 (neg.f64 y) z) x)) |
(*.f64 z (*.f64 (*.f64 (neg.f64 y) y) x)) |
(*.f64 x (*.f64 (*.f64 (neg.f64 y) z) y)) |
(neg.f64 (*.f64 (*.f64 y x) (*.f64 y z))) |
(neg.f64 (*.f64 (*.f64 z x) (*.f64 y y))) |
(neg.f64 (*.f64 y (*.f64 (*.f64 y z) x))) |
(neg.f64 (*.f64 x (*.f64 (*.f64 y y) z))) |
(neg.f64 (*.f64 (*.f64 (*.f64 y z) x) y)) |
(neg.f64 (*.f64 (*.f64 (*.f64 y y) z) x)) |
(neg.f64 (*.f64 (*.f64 y z) (*.f64 y x))) |
(*.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z)) |
(*.f64 (*.f64 y y) (neg.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) y) z) |
(*.f64 (neg.f64 z) (*.f64 y y)) |
(*.f64 (*.f64 y z) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (*.f64 y z) (neg.f64 y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) z) y)) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) #s(literal 1 binary64)) |
(*.f64 (*.f64 (neg.f64 y) z) y) |
(*.f64 (neg.f64 y) (*.f64 y z)) |
(*.f64 y (*.f64 (neg.f64 y) z)) |
(*.f64 z (*.f64 (neg.f64 y) y)) |
(neg.f64 (*.f64 (*.f64 y y) z)) |
(*.f64 #s(literal -1 binary64) (*.f64 y z)) |
(*.f64 (neg.f64 z) y) |
(*.f64 (*.f64 y z) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) z)) |
(*.f64 (*.f64 (neg.f64 y) z) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) z) |
(*.f64 y (*.f64 (neg.f64 z) #s(literal 1 binary64))) |
(*.f64 y (neg.f64 z)) |
(*.f64 z (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 z (neg.f64 y)) |
(neg.f64 (*.f64 y z)) |
(*.f64 (/.f64 (neg.f64 z) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 z) (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) |
(*.f64 (/.f64 z (neg.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (*.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 z (neg.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 z (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 y z) #s(literal 1 binary64))) |
(*.f64 (/.f64 z (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 y z) #s(literal 1 binary64)) (/.f64 z (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 z (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 z (-.f64 (*.f64 y z) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 z (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 z (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 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 z (-.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))) (fma.f64 y z #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 z (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y z) #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 z (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 6 binary64)))) (fma.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (-.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (pow.f64 (*.f64 y z) #s(literal 4 binary64)))) |
(/.f64 (*.f64 z (-.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 z (-.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 z (-.f64 (pow.f64 (*.f64 y z) #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))))) |
(/.f64 (*.f64 z (+.f64 (pow.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 6 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (-.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (pow.f64 (*.f64 y z) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 z) (fma.f64 (neg.f64 z) y #s(literal -1 binary64))) |
(/.f64 z (fma.f64 y z #s(literal 1 binary64))) |
(neg.f64 (/.f64 z (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 z (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (*.f64 (/.f64 z (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 z (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (/.f64 z (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (/.f64 z (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (/.f64 z (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (/.f64 z (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (/.f64 z (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (/.f64 z (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (/.f64 z (+.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)) (/.f64 z (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (/.f64 z (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 z (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) (*.f64 (/.f64 z (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 z (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (*.f64 (/.f64 z (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) |
(*.f64 (/.f64 x (neg.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (*.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (neg.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 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 x (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 y z) #s(literal 1 binary64)) (/.f64 x (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (-.f64 (*.f64 y z) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 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 x (-.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))) (fma.f64 y z #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y z) #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 6 binary64)))) (fma.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (-.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (pow.f64 (*.f64 y z) #s(literal 4 binary64)))) |
(/.f64 (*.f64 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 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 x (-.f64 (pow.f64 (*.f64 y z) #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 6 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (-.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (pow.f64 (*.f64 y z) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 x) (fma.f64 (neg.f64 z) y #s(literal -1 binary64))) |
(/.f64 x (fma.f64 y z #s(literal 1 binary64))) |
(neg.f64 (/.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (/.f64 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)) (/.f64 x (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) (*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) |
Compiled 13 288 to 971 computations (92.7% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 309 | 1 | 310 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 5 | 5 |
| Total | 310 | 6 | 316 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 83.9% | (fma.f64 (*.f64 x (*.f64 (*.f64 z (neg.f64 y)) y)) #s(approx (/ z (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) y)) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
| ✓ | 95.8% | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
| ✓ | 95.8% | (fma.f64 (*.f64 x z) (neg.f64 y) x) |
| ✓ | 95.9% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| ✓ | 46.1% | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) |
| ✓ | 52.2% | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
Compiled 68 to 55 computations (19.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 (*.f64 z (neg.f64 y)) y) | |
| cost-diff | 0 | (*.f64 x (*.f64 (*.f64 z (neg.f64 y)) y)) | |
| cost-diff | 0 | (fma.f64 (*.f64 x (*.f64 (*.f64 z (neg.f64 y)) y)) #s(approx (/ z (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) y)) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 72 |
| 0 | 25 | 72 |
| 1 | 41 | 72 |
| 2 | 98 | 72 |
| 3 | 396 | 72 |
| 4 | 1373 | 72 |
| 5 | 1764 | 72 |
| 6 | 1834 | 72 |
| 7 | 1855 | 72 |
| 8 | 1856 | 72 |
| 9 | 1856 | 72 |
| 10 | 1856 | 72 |
| 11 | 2216 | 72 |
| 12 | 2770 | 72 |
| 0 | 2770 | 72 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x (*.f64 (*.f64 z (neg.f64 y)) y)) #s(approx (/ z (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) y)) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
(*.f64 x (*.f64 (*.f64 z (neg.f64 y)) y)) |
x |
(*.f64 (*.f64 z (neg.f64 y)) y) |
(*.f64 z (neg.f64 y)) |
z |
(neg.f64 y) |
y |
#s(approx (/ z (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(/.f64 x (fma.f64 z y #s(literal 1 binary64))) |
(fma.f64 z y #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 (*.f64 x (*.f64 (*.f64 z (neg.f64 y)) y)) #s(approx (/ z (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) y)) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 y x) y) #s(approx (/ z (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) y))) (neg.f64 z) (/.f64 x (fma.f64 y z #s(literal 1 binary64)))) |
(*.f64 x (*.f64 (*.f64 z (neg.f64 y)) y)) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x) |
x |
(*.f64 (*.f64 z (neg.f64 y)) y) |
(*.f64 (*.f64 (neg.f64 y) z) y) |
(*.f64 z (neg.f64 y)) |
(*.f64 (neg.f64 y) z) |
z |
(neg.f64 y) |
y |
#s(approx (/ z (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(/.f64 x (fma.f64 z y #s(literal 1 binary64))) |
(/.f64 x (fma.f64 y z #s(literal 1 binary64))) |
(fma.f64 z y #s(literal 1 binary64)) |
(fma.f64 y z #s(literal 1 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.071500167260374 | (/.f64 x (fma.f64 z y #s(literal 1 binary64))) | |
| accuracy | 6.169299626616109 | (fma.f64 (*.f64 x (*.f64 (*.f64 z (neg.f64 y)) y)) #s(approx (/ z (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) y)) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) | |
| accuracy | 7.605238462419246 | (*.f64 x (*.f64 (*.f64 z (neg.f64 y)) y)) | |
| accuracy | 32.32770791964016 | #s(approx (/ z (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) y)) |
| 71.0ms | 256× | 0 | valid |
Compiled 72 to 17 computations (76.4% saved)
ival-mult: 39.0ms (71.5% of total)ival-div: 9.0ms (16.5% of total)ival-add: 4.0ms (7.3% of total)ival-neg: 2.0ms (3.7% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 x (*.f64 (*.f64 z (neg.f64 y)) y)) #s(approx (/ z (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) y)) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
(*.f64 x (*.f64 (*.f64 z (neg.f64 y)) y)) |
(*.f64 (*.f64 z (neg.f64 y)) y) |
(*.f64 z (neg.f64 y)) |
#s(approx (/ z (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 x (fma.f64 z y #s(literal 1 binary64))) |
| Outputs |
|---|
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(* -1 (* x (* (pow y 2) z))) |
(/ x (+ 1 (* y z))) |
(* -1 (* x (- (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z))) (/ 1 (+ 1 (* y z)))))) |
x |
(+ x (* -1 (* x (* y z)))) |
(* -1 (* (pow y 2) z)) |
(* -1 (* y z)) |
z |
(+ z (* -1 (* y (pow z 2)))) |
(+ z (* y (- (* y (pow z 3)) (pow z 2)))) |
(+ z (* y (- (* y (- (* -1 (* y (pow z 4))) (* -1 (pow z 3)))) (pow z 2)))) |
(+ x (* y (- (* x (* y (pow z 2))) (* x z)))) |
(+ x (* y (- (* y (- (* -1 (* x (* y (pow z 3)))) (* -1 (* x (pow z 2))))) (* x z)))) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (+ (* -1 (/ x (* (pow y 2) z))) (+ (/ x y) (/ x (* (pow y 2) z)))))) |
(/ 1 y) |
(/ (- 1 (/ 1 (* y z))) y) |
(/ (- (+ 1 (/ 1 (* (pow y 2) (pow z 2)))) (/ 1 (* y z))) y) |
(/ (- (+ 1 (/ 1 (* (pow y 2) (pow z 2)))) (+ (/ 1 (* y z)) (/ 1 (* (pow y 3) (pow z 3))))) y) |
(/ x (* y z)) |
(/ (+ (* -1 (/ x (* y (pow z 2)))) (/ x z)) y) |
(/ (- (+ (/ x z) (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2)))) y) |
(/ (- (+ (* -1 (/ x (* (pow y 3) (pow z 4)))) (/ x z)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2))))) y) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ x z)) (/ x z)) y))) y)) (* x z)))) |
(* -1 (/ (- (/ 1 (* y z)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z)) y)) 1) y)) |
(* -1 (/ (+ (* -1 (/ x z)) (/ x (* y (pow z 2)))) y)) |
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (- (/ x (* y (pow z 3))) (/ x (pow z 2))) y))) y)) |
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (- (* -1 (/ (- (/ x (* y (pow z 4))) (/ x (pow z 3))) y)) (/ x (pow z 2))) y))) y)) |
(* z (+ 1 (* -1 (* y z)))) |
(* z (+ 1 (* z (- (* (pow y 2) z) y)))) |
(* z (+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y)))) |
(+ x (* z (- (* x (* (pow y 2) z)) (* x y)))) |
(+ x (* z (- (* z (- (* -1 (* x (* (pow y 3) z))) (* -1 (* x (pow y 2))))) (* x y)))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (+ (* -1 (/ x (* y (pow z 2)))) (+ (/ x z) (/ x (* y (pow z 2))))))) |
(- (/ 1 y) (/ 1 (* (pow y 2) z))) |
(- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) |
(- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3))))) |
(/ (+ (* -1 (/ x (* (pow y 2) z))) (/ x y)) z) |
(/ (- (+ (/ x y) (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z))) z) |
(/ (- (+ (* -1 (/ x (* (pow y 4) (pow z 3)))) (/ x y)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z)))) z) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z))) z)) (* x y)))) |
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* (pow y 3) z))) z)) (/ 1 y)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* (pow y 4) z))) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) |
(* -1 (/ (+ (* -1 (/ x y)) (/ x (* (pow y 2) z))) z)) |
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (/ x (* (pow y 3) z)) (/ x (pow y 2))) z))) z)) |
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (* -1 (/ (- (/ x (* (pow y 4) z)) (/ x (pow y 3))) z)) (/ x (pow y 2))) z))) z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | -inf | ((+ (* (* x (* (* z (neg y)) y)) (/ z (+ (* z y) 1))) (/ x (+ (* z y) 1))) (* x (* (* z (neg y)) y)) (* (* z (neg y)) y) (* z (neg y)) (/ z (+ (* z y) 1)) (/ x (+ (* z y) 1))) |
| 3.0ms | x | @ | 0 | ((+ (* (* x (* (* z (neg y)) y)) (/ z (+ (* z y) 1))) (/ x (+ (* z y) 1))) (* x (* (* z (neg y)) y)) (* (* z (neg y)) y) (* z (neg y)) (/ z (+ (* z y) 1)) (/ x (+ (* z y) 1))) |
| 3.0ms | x | @ | inf | ((+ (* (* x (* (* z (neg y)) y)) (/ z (+ (* z y) 1))) (/ x (+ (* z y) 1))) (* x (* (* z (neg y)) y)) (* (* z (neg y)) y) (* z (neg y)) (/ z (+ (* z y) 1)) (/ x (+ (* z y) 1))) |
| 3.0ms | x | @ | -inf | ((+ (* (* x (* (* z (neg y)) y)) (/ z (+ (* z y) 1))) (/ x (+ (* z y) 1))) (* x (* (* z (neg y)) y)) (* (* z (neg y)) y) (* z (neg y)) (/ z (+ (* z y) 1)) (/ x (+ (* z y) 1))) |
| 3.0ms | y | @ | inf | ((+ (* (* x (* (* z (neg y)) y)) (/ z (+ (* z y) 1))) (/ x (+ (* z y) 1))) (* x (* (* z (neg y)) y)) (* (* z (neg y)) y) (* z (neg y)) (/ z (+ (* z y) 1)) (/ x (+ (* z y) 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 271 | 909 |
| 1 | 848 | 866 |
| 2 | 2687 | 770 |
| 3 | 7409 | 762 |
| 0 | 8123 | 750 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(* -1 (* x (* (pow y 2) z))) |
(/ x (+ 1 (* y z))) |
(* -1 (* x (- (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z))) (/ 1 (+ 1 (* y z)))))) |
x |
(+ x (* -1 (* x (* y z)))) |
(* -1 (* (pow y 2) z)) |
(* -1 (* y z)) |
z |
(+ z (* -1 (* y (pow z 2)))) |
(+ z (* y (- (* y (pow z 3)) (pow z 2)))) |
(+ z (* y (- (* y (- (* -1 (* y (pow z 4))) (* -1 (pow z 3)))) (pow z 2)))) |
(+ x (* y (- (* x (* y (pow z 2))) (* x z)))) |
(+ x (* y (- (* y (- (* -1 (* x (* y (pow z 3)))) (* -1 (* x (pow z 2))))) (* x z)))) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(* y (+ (* -1 (* x z)) (+ (* -1 (/ x (* (pow y 2) z))) (+ (/ x y) (/ x (* (pow y 2) z)))))) |
(/ 1 y) |
(/ (- 1 (/ 1 (* y z))) y) |
(/ (- (+ 1 (/ 1 (* (pow y 2) (pow z 2)))) (/ 1 (* y z))) y) |
(/ (- (+ 1 (/ 1 (* (pow y 2) (pow z 2)))) (+ (/ 1 (* y z)) (/ 1 (* (pow y 3) (pow z 3))))) y) |
(/ x (* y z)) |
(/ (+ (* -1 (/ x (* y (pow z 2)))) (/ x z)) y) |
(/ (- (+ (/ x z) (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2)))) y) |
(/ (- (+ (* -1 (/ x (* (pow y 3) (pow z 4)))) (/ x z)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2))))) y) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(* -1 (* y (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ x z)) (/ x z)) y))) y)) (* x z)))) |
(* -1 (/ (- (/ 1 (* y z)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z)) y)) 1) y)) |
(* -1 (/ (+ (* -1 (/ x z)) (/ x (* y (pow z 2)))) y)) |
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (- (/ x (* y (pow z 3))) (/ x (pow z 2))) y))) y)) |
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (- (* -1 (/ (- (/ x (* y (pow z 4))) (/ x (pow z 3))) y)) (/ x (pow z 2))) y))) y)) |
(* z (+ 1 (* -1 (* y z)))) |
(* z (+ 1 (* z (- (* (pow y 2) z) y)))) |
(* z (+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y)))) |
(+ x (* z (- (* x (* (pow y 2) z)) (* x y)))) |
(+ x (* z (- (* z (- (* -1 (* x (* (pow y 3) z))) (* -1 (* x (pow y 2))))) (* x y)))) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(* z (+ (* -1 (* x y)) (+ (* -1 (/ x (* y (pow z 2)))) (+ (/ x z) (/ x (* y (pow z 2))))))) |
(- (/ 1 y) (/ 1 (* (pow y 2) z))) |
(- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) |
(- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3))))) |
(/ (+ (* -1 (/ x (* (pow y 2) z))) (/ x y)) z) |
(/ (- (+ (/ x y) (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z))) z) |
(/ (- (+ (* -1 (/ x (* (pow y 4) (pow z 3)))) (/ x y)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z)))) z) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z))) z)) (* x y)))) |
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* (pow y 3) z))) z)) (/ 1 y)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* (pow y 4) z))) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) |
(* -1 (/ (+ (* -1 (/ x y)) (/ x (* (pow y 2) z))) z)) |
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (/ x (* (pow y 3) z)) (/ x (pow y 2))) z))) z)) |
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (* -1 (/ (- (/ x (* (pow y 4) z)) (/ x (pow y 3))) z)) (/ x (pow y 2))) z))) z)) |
| Outputs |
|---|
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y z) z) #s(literal 1 binary64)) x) (fma.f64 y z #s(literal 1 binary64))) |
(* -1 (* x (* (pow y 2) z))) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 y z) y)) |
(/ x (+ 1 (* y z))) |
(/.f64 x (fma.f64 y z #s(literal 1 binary64))) |
(* -1 (* x (- (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z))) (/ 1 (+ 1 (* y z)))))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y z) z) #s(literal 1 binary64)) x) (fma.f64 y z #s(literal 1 binary64))) |
x |
(+ x (* -1 (* x (* y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) |
(* -1 (* (pow y 2) z)) |
(*.f64 (neg.f64 y) (*.f64 y z)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
z |
(+ z (* -1 (* y (pow z 2)))) |
(-.f64 z (*.f64 (*.f64 y z) z)) |
(+ z (* y (- (* y (pow z 3)) (pow z 2)))) |
(fma.f64 (*.f64 z (fma.f64 (*.f64 y z) z (neg.f64 z))) y z) |
(+ z (* y (- (* y (- (* -1 (* y (pow z 4))) (* -1 (pow z 3)))) (pow z 2)))) |
(fma.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)) y z) |
(+ x (* y (- (* x (* y (pow z 2))) (* x z)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y z) z (neg.f64 z)) y) x x) |
(+ x (* y (- (* y (- (* -1 (* x (* y (pow z 3)))) (* -1 (* x (pow z 2))))) (* x z)))) |
(fma.f64 (fma.f64 (neg.f64 x) z (*.f64 (*.f64 x (fma.f64 z z (*.f64 (neg.f64 y) (pow.f64 z #s(literal 3 binary64))))) y)) y x) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 y z)) |
(* y (+ (* -1 (* x z)) (/ x y))) |
(*.f64 (fma.f64 (neg.f64 x) z (/.f64 x y)) y) |
(* y (+ (* -1 (* x z)) (+ (* -1 (/ x (* (pow y 2) z))) (+ (/ x y) (/ x (* (pow y 2) z)))))) |
(*.f64 (fma.f64 (neg.f64 x) z (-.f64 (/.f64 x y) #s(literal 0 binary64))) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (- 1 (/ 1 (* y z))) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) y) |
(/ (- (+ 1 (/ 1 (* (pow y 2) (pow z 2)))) (/ 1 (* y z))) y) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) z) (/.f64 #s(literal 1 binary64) z)) y) #s(literal 1 binary64)) y) |
(/ (- (+ 1 (/ 1 (* (pow y 2) (pow z 2)))) (+ (/ 1 (* y z)) (/ 1 (* (pow y 3) (pow z 3))))) y) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) z) (/.f64 #s(literal 1 binary64) z)) y) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) #s(literal 1 binary64))) y) |
(/ x (* y z)) |
(/.f64 (/.f64 x z) y) |
(/ (+ (* -1 (/ x (* y (pow z 2)))) (/ x z)) y) |
(/.f64 (fma.f64 (/.f64 (/.f64 x z) y) #s(literal -1 binary64) x) (*.f64 y z)) |
(/ (- (+ (/ x z) (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2)))) y) |
(/.f64 (-.f64 (/.f64 x z) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 x z) y) #s(literal -1 binary64) x) (*.f64 y z)) z)) y) |
(/ (- (+ (* -1 (/ x (* (pow y 3) (pow z 4)))) (/ x z)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2))))) y) |
(/.f64 (-.f64 (-.f64 (/.f64 x z) (/.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 x z) y) #s(literal -1 binary64) x) (*.f64 y z)) z)) y) |
(* -1 (* y (+ (* -1 (/ x y)) (* x z)))) |
(*.f64 (fma.f64 (neg.f64 x) z (/.f64 x y)) y) |
(* -1 (* y (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ x z)) (/ x z)) y))) y)) (* x z)))) |
(*.f64 (fma.f64 (neg.f64 x) z (-.f64 (/.f64 x y) #s(literal 0 binary64))) y) |
(* -1 (/ (- (/ 1 (* y z)) 1) y)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (neg.f64 y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y)) 1) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) z) (/.f64 #s(literal 1 binary64) z)) (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z)) y)) 1) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) z)) (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 (/ x z)) (/ x (* y (pow z 2)))) y)) |
(/.f64 (fma.f64 (/.f64 (/.f64 x z) y) #s(literal -1 binary64) x) (*.f64 y z)) |
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (- (/ x (* y (pow z 3))) (/ x (pow z 2))) y))) y)) |
(/.f64 (-.f64 (/.f64 x z) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 x z) y) #s(literal -1 binary64) x) (*.f64 y z)) z)) y) |
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (- (* -1 (/ (- (/ x (* y (pow z 4))) (/ x (pow z 3))) y)) (/ x (pow z 2))) y))) y)) |
(/.f64 (-.f64 (-.f64 (/.f64 x z) (/.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 x z) y) #s(literal -1 binary64) x) (*.f64 y z)) z)) y) |
(* z (+ 1 (* -1 (* y z)))) |
(-.f64 z (*.f64 (*.f64 y z) z)) |
(* z (+ 1 (* z (- (* (pow y 2) z) y)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 y z) y) y) z #s(literal 1 binary64)) z) |
(* z (+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y)))) |
(*.f64 (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)) z) |
(+ x (* z (- (* x (* (pow y 2) z)) (* x y)))) |
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 y z) y) y) x) z x) |
(+ x (* z (- (* z (- (* -1 (* x (* (pow y 3) z))) (* -1 (* x (pow y 2))))) (* x y)))) |
(fma.f64 (fma.f64 (neg.f64 x) y (*.f64 (*.f64 x (fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) z (*.f64 y y))) z)) z x) |
(* z (+ (* -1 (* x y)) (/ x z))) |
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z) |
(* z (+ (* -1 (* x y)) (+ (* -1 (/ x (* y (pow z 2)))) (+ (/ x z) (/ x (* y (pow z 2))))))) |
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 (-.f64 x #s(literal 0 binary64)) z)) z) |
(- (/ 1 y) (/ 1 (* (pow y 2) z))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) y) |
(- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) z) (/.f64 #s(literal 1 binary64) z)) y) #s(literal 1 binary64)) y) |
(- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3))))) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) z) (/.f64 #s(literal 1 binary64) z)) y) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) #s(literal 1 binary64))) y) |
(/ (+ (* -1 (/ x (* (pow y 2) z))) (/ x y)) z) |
(/.f64 (fma.f64 (/.f64 (/.f64 x z) y) #s(literal -1 binary64) x) (*.f64 y z)) |
(/ (- (+ (/ x y) (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z))) z) |
(/.f64 (-.f64 (/.f64 x z) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 x z) y) #s(literal -1 binary64) x) (*.f64 y z)) z)) y) |
(/ (- (+ (* -1 (/ x (* (pow y 4) (pow z 3)))) (/ x y)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z)))) z) |
(/.f64 (-.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 x z) y) #s(literal -1 binary64) x) (*.f64 y z)) y)) z) |
(* -1 (* z (+ (* -1 (/ x z)) (* x y)))) |
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z))) z)) (* x y)))) |
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 (-.f64 x #s(literal 0 binary64)) z)) z) |
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* (pow y 3) z))) z)) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) z)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* (pow y 4) z))) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) z))) z)) z)) |
(* -1 (/ (+ (* -1 (/ x y)) (/ x (* (pow y 2) z))) z)) |
(/.f64 (fma.f64 (/.f64 (/.f64 x z) y) #s(literal -1 binary64) x) (*.f64 y z)) |
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (/ x (* (pow y 3) z)) (/ x (pow y 2))) z))) z)) |
(/.f64 (-.f64 (/.f64 x z) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 x z) y) #s(literal -1 binary64) x) (*.f64 y z)) z)) y) |
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (* -1 (/ (- (/ x (* (pow y 4) z)) (/ x (pow y 3))) z)) (/ x (pow y 2))) z))) z)) |
(/.f64 (-.f64 (-.f64 (/.f64 x y) (/.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 x z) y) #s(literal -1 binary64) x) (*.f64 y z)) y)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 59 |
| 0 | 25 | 59 |
| 1 | 76 | 59 |
| 2 | 441 | 59 |
| 3 | 5178 | 59 |
| 0 | 8922 | 59 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x (*.f64 (*.f64 z (neg.f64 y)) y)) #s(approx (/ z (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) y)) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
(*.f64 x (*.f64 (*.f64 z (neg.f64 y)) y)) |
(*.f64 (*.f64 z (neg.f64 y)) y) |
(*.f64 z (neg.f64 y)) |
#s(approx (/ z (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 x (fma.f64 z y #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y z) x) (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) y))) (/.f64 x (fma.f64 y z #s(literal 1 binary64)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x)) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y z) x) (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) y))) (/.f64 x (fma.f64 y z #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y z) x) (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) y))) (/.f64 x (fma.f64 y z #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y z) x) (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) y))) (/.f64 x (fma.f64 y z #s(literal 1 binary64)))) (-.f64 (*.f64 (+.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y z) x) (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) y))) (/.f64 x (fma.f64 y z #s(literal 1 binary64)))) (pow.f64 (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x)) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x)) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x)) #s(literal 3 binary64)))) (fma.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (fma.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x) (/.f64 x (fma.f64 y z #s(literal 1 binary64)))) (pow.f64 (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x)) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (+.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y z) x) (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) y))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (pow.f64 (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x) (/.f64 x (fma.f64 y z #s(literal 1 binary64)))) (fma.f64 (+.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y z) x) (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) y))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (pow.f64 (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x)) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x) (/.f64 x (fma.f64 y z #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x) (/.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) (fma.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x) (/.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x)) #s(literal 2 binary64)) (fma.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x) (/.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x) (/.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x)) #s(literal 2 binary64)) (fma.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x) (/.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))) (/.f64 (pow.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x) (/.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))))) |
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(-.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y y) z) (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) x))) |
(-.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (*.f64 (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 y) z) y)) (neg.f64 x))) |
(+.f64 (/.f64 (pow.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y z) x) (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) y))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (pow.f64 (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x)) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y z) x) (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) y))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (pow.f64 (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x)) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y z) x) (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) y))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (pow.f64 (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y z) x) (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) y))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (pow.f64 (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x)) #s(literal 2 binary64)) (fma.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x) (/.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))) (/.f64 (neg.f64 (pow.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x) (/.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))))) |
(+.f64 (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x)) (/.f64 x (fma.f64 y z #s(literal 1 binary64)))) |
(+.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x))) |
(+.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) z))) #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))))) |
(+.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (*.f64 #s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x))) |
(*.f64 (*.f64 (*.f64 y x) (neg.f64 y)) z) |
(*.f64 (*.f64 (*.f64 y x) y) (neg.f64 z)) |
(*.f64 (*.f64 y (*.f64 z x)) (neg.f64 y)) |
(*.f64 (*.f64 y x) (*.f64 (neg.f64 y) z)) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) z) |
(*.f64 (*.f64 (neg.f64 y) x) (*.f64 y z)) |
(*.f64 (*.f64 z x) (*.f64 (neg.f64 y) y)) |
(*.f64 (*.f64 (*.f64 y z) x) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 z x)) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) z) x) y) |
(*.f64 (neg.f64 z) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y z) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) x) |
(*.f64 (*.f64 (neg.f64 y) z) (*.f64 y x)) |
(*.f64 (neg.f64 y) (*.f64 z (*.f64 y x))) |
(*.f64 (neg.f64 y) (*.f64 (*.f64 y z) x)) |
(*.f64 y (*.f64 (*.f64 (neg.f64 y) z) x)) |
(*.f64 z (*.f64 (*.f64 (neg.f64 y) y) x)) |
(*.f64 x (*.f64 (*.f64 (neg.f64 y) z) y)) |
(neg.f64 (*.f64 (*.f64 y x) (*.f64 y z))) |
(neg.f64 (*.f64 (*.f64 z x) (*.f64 y y))) |
(neg.f64 (*.f64 y (*.f64 (*.f64 y z) x))) |
(neg.f64 (*.f64 x (*.f64 (*.f64 y y) z))) |
(neg.f64 (*.f64 (*.f64 (*.f64 y z) x) y)) |
(neg.f64 (*.f64 (*.f64 (*.f64 y y) z) x)) |
(neg.f64 (*.f64 (*.f64 y z) (*.f64 y x))) |
(*.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y z)) |
(*.f64 (*.f64 y y) (neg.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) y) z) |
(*.f64 (neg.f64 z) (*.f64 y y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) z) y)) |
(*.f64 (*.f64 y z) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (*.f64 y z) (neg.f64 y)) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) z) y) #s(literal 1 binary64)) |
(*.f64 (*.f64 (neg.f64 y) z) y) |
(*.f64 (neg.f64 y) (*.f64 y z)) |
(*.f64 y (*.f64 (neg.f64 y) z)) |
(*.f64 z (*.f64 (neg.f64 y) y)) |
(neg.f64 (*.f64 (*.f64 y y) z)) |
(*.f64 (neg.f64 z) y) |
(*.f64 #s(literal -1 binary64) (*.f64 y z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) z)) |
(*.f64 (*.f64 y z) #s(literal -1 binary64)) |
(*.f64 (*.f64 (neg.f64 y) z) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) z) |
(*.f64 y (*.f64 (neg.f64 z) #s(literal 1 binary64))) |
(*.f64 y (neg.f64 z)) |
(*.f64 z (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 z (neg.f64 y)) |
(neg.f64 (*.f64 y z)) |
#s(approx (/ z (+ (* z y) 1)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (exp.f64 (log.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))))) (exp.f64 (log.f64 (-.f64 (*.f64 y z) #s(literal 1 binary64))))) |
(*.f64 (exp.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64))))) (exp.f64 (log1p.f64 (fma.f64 (neg.f64 z) y (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) |
(*.f64 (/.f64 x (neg.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (*.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 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 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 y z) #s(literal 1 binary64)) (/.f64 x (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))) |
(pow.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 (exp.f64 (log.f64 x)) (exp.f64 (log1p.f64 (*.f64 y z)))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 (fma.f64 (neg.f64 z) y #s(literal -1 binary64))))) |
(/.f64 (*.f64 x (-.f64 (*.f64 y z) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 x (-.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))) (fma.f64 y z #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 y z) #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 6 binary64)))) (fma.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (-.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (pow.f64 (*.f64 y z) #s(literal 4 binary64)))) |
(/.f64 (*.f64 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 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64)))) |
(/.f64 (*.f64 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 x (-.f64 (pow.f64 (*.f64 y z) #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 z) y #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 (neg.f64 z) y #s(literal 1 binary64))))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (-.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (pow.f64 (*.f64 y z) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 x) (fma.f64 (neg.f64 z) y #s(literal -1 binary64))) |
(/.f64 x (fma.f64 y z #s(literal 1 binary64))) |
(neg.f64 (/.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))) |
(fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))))) |
(+.f64 (cosh.f64 (log.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))))) (sinh.f64 (log.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64)))))) |
(+.f64 (*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))) (*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (fma.f64 (neg.f64 z) y #s(literal 1 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))) |
Compiled 14 802 to 844 computations (94.3% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 265 | 0 | 265 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 265 | 6 | 271 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 83.9% | (fma.f64 (*.f64 x (*.f64 (*.f64 z (neg.f64 y)) y)) #s(approx (/ z (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) y)) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
| ✓ | 95.8% | (fma.f64 (*.f64 x (neg.f64 y)) z x) |
| ✓ | 95.8% | (fma.f64 (*.f64 x z) (neg.f64 y) x) |
| ✓ | 95.9% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| ✓ | 46.1% | (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) |
| ✓ | 52.2% | (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
Compiled 179 to 97 computations (45.8% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(fma.f64 (*.f64 x z) (neg.f64 y) x) |
(fma.f64 (*.f64 x (neg.f64 y)) z x) |
(fma.f64 (*.f64 x (*.f64 (*.f64 z (neg.f64 y)) y)) #s(approx (/ z (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) y)) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x (*.f64 (*.f64 z (neg.f64 y)) y)) (/.f64 z (fma.f64 z y #s(literal 1 binary64))) (/.f64 x (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 y y) z)) z) (fma.f64 z y #s(literal 1 binary64))))) |
| 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) |
6 calls:
| 21.0ms | x |
| 3.0ms | z |
| 3.0ms | y |
| 2.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 2.0ms | (*.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))) |
| 98.1% | 2 | x |
| 95.9% | 1 | y |
| 95.9% | 1 | z |
Compiled 18 to 26 computations (-44.4% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
5 calls:
| 2.0ms | x |
| 2.0ms | z |
| 1.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 1.0ms | (*.f64 y z) |
| 1.0ms | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.9% | 1 | z |
| 95.9% | 1 | x |
| 95.9% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 95.9% | 1 | (*.f64 y z) |
| 95.9% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
Compiled 17 to 23 computations (-35.3% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) |
| Outputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) |
6 calls:
| 4.0ms | y |
| 1.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | (*.f64 y z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.1% | 3 | y |
| 94.3% | 3 | (*.f64 y z) |
| 94.3% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| 82.4% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 58.6% | 4 | x |
| 78.3% | 3 | z |
Compiled 18 to 26 computations (-44.4% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
6 calls:
| 1.0ms | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
| 1.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.2% | 1 | x |
| 52.2% | 1 | y |
| 52.2% | 1 | z |
| 52.2% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
| 52.2% | 1 | (*.f64 y z) |
| 52.2% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 y z)) |
Compiled 18 to 26 computations (-44.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.814743712960134e+282 | 2.252281882452413e+288 |
| 0.0ms | -6.767101086625037e+40 | -8.56721376098488e+37 |
Compiled 10 to 13 computations (-30% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9340072926049778 | 3.5524370879762333 |
| 0.0ms | -37206807344787410.0 | 0.9999983088073194 |
Compiled 10 to 13 computations (-30% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 85 |
| 1 | 48 | 85 |
| 2 | 63 | 85 |
| 3 | 78 | 85 |
| 4 | 88 | 85 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -50000000000000000310004322520389159747584 binary64)) (fma.f64 (*.f64 x z) (neg.f64 y) x) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (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 -20000000000000000 binary64)) (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))))) |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
| Outputs |
|---|
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -50000000000000000310004322520389159747584 binary64)) (fma.f64 (*.f64 x z) (neg.f64 y) x) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 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 -50000000000000000310004322520389159747584 binary64)) (not (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 binary64)))) (fma.f64 (*.f64 x z) (neg.f64 y) x) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -20000000000000000 binary64)) (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))))) |
(if (or (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -20000000000000000 binary64)) (not (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 2 binary64)))) (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 0 | 10 | 15 |
| 1 | 31 | 15 |
| 2 | 178 | 15 |
| 3 | 1456 | 15 |
| 0 | 9033 | 13 |
| 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× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 85 to 32 computations (62.4% saved)
(negabs x)
Compiled 556 to 282 computations (49.3% saved)
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