
Time bar (total: 8.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 819.0ms | 8 256× | 0 | valid |
ival-mult: 167.0ms (56.5% of total)ival-sub: 113.0ms (38.2% of total)ival-true: 7.0ms (2.4% of total)exact: 5.0ms (1.7% of total)ival-assert: 3.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 14 | 0 | - | 0 | - | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) y) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) | n*o | 14 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 14 | 0 |
| - | 0 | 242 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 14 | 0 | 0 |
| - | 0 | 0 | 242 |
| number | freq |
|---|---|
| 0 | 242 |
| 1 | 14 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 35.0ms | 512× | 0 | valid |
Compiled 69 to 28 computations (59.4% saved)
ival-mult: 13.0ms (66.4% of total)ival-sub: 5.0ms (25.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 90 |
| 1 | 75 | 86 |
| 2 | 189 | 84 |
| 3 | 526 | 83 |
| 4 | 1146 | 81 |
| 5 | 1690 | 81 |
| 6 | 2276 | 81 |
| 7 | 3659 | 81 |
| 8 | 4589 | 81 |
| 9 | 5154 | 81 |
| 10 | 5430 | 81 |
| 11 | 5690 | 81 |
| 12 | 6200 | 81 |
| 13 | 6276 | 81 |
| 14 | 6288 | 81 |
| 15 | 6588 | 81 |
| 16 | 6988 | 81 |
| 17 | 7382 | 81 |
| 18 | 7382 | 81 |
| 19 | 7390 | 81 |
| 20 | 7408 | 81 |
| 21 | 7408 | 81 |
| 0 | 8 | 9 |
| 0 | 12 | 9 |
| 1 | 19 | 9 |
| 2 | 34 | 9 |
| 3 | 71 | 9 |
| 4 | 167 | 9 |
| 5 | 344 | 9 |
| 6 | 437 | 9 |
| 7 | 525 | 9 |
| 8 | 561 | 9 |
| 0 | 561 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y))) x) |
(negabs x)
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.8% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) | |
| cost-diff | 0 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 0 | 12 | 28 |
| 1 | 19 | 28 |
| 2 | 34 | 28 |
| 3 | 71 | 28 |
| 4 | 167 | 28 |
| 5 | 344 | 28 |
| 6 | 437 | 28 |
| 7 | 525 | 28 |
| 8 | 561 | 28 |
| 0 | 561 | 28 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
#s(literal 1 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 #s(literal 1 binary64) y) |
y |
z |
| Outputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y))) x) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
(-.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y))) |
#s(literal 1 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(*.f64 z (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
y |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) | |
| accuracy | 3.336036725635392 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 39.0ms | 256× | 0 | valid |
Compiled 30 to 10 computations (66.7% saved)
ival-sub: 3.0ms (48.4% of total)ival-mult: 3.0ms (48.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(- 1 z) |
(- (+ 1 (* y z)) z) |
z |
(+ z (* -1 (* y z))) |
1 |
(+ 1 (* -1 y)) |
(* x (* y z)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (/ z y))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(* -1 (* y (- 1 (/ 1 y)))) |
x |
(+ x (* x (* z (- y 1)))) |
(+ 1 (* z (- y 1))) |
(* z (- 1 y)) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (- y 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (- 1 y))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | ((* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- 1 y) z) (- 1 y)) |
| 1.0ms | z | @ | inf | ((* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- 1 y) z) (- 1 y)) |
| 1.0ms | y | @ | 0 | ((* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- 1 y) z) (- 1 y)) |
| 1.0ms | x | @ | 0 | ((* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- 1 y) z) (- 1 y)) |
| 1.0ms | z | @ | -inf | ((* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- 1 y) z) (- 1 y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 193 |
| 1 | 241 | 192 |
| 2 | 651 | 192 |
| 3 | 1785 | 192 |
| 4 | 4358 | 192 |
| 0 | 8315 | 179 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(- 1 z) |
(- (+ 1 (* y z)) z) |
z |
(+ z (* -1 (* y z))) |
1 |
(+ 1 (* -1 y)) |
(* x (* y z)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (/ z y))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(* -1 (* y (- 1 (/ 1 y)))) |
x |
(+ x (* x (* z (- y 1)))) |
(+ 1 (* z (- y 1))) |
(* z (- 1 y)) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (- y 1)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (- 1 y))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
| Outputs |
|---|
(* x (- 1 (* z (- 1 y)))) |
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ (* x (* y z)) (* x (- 1 z))) |
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x) |
(- 1 z) |
(-.f64 #s(literal 1 binary64) z) |
(- (+ 1 (* y z)) z) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64)) |
z |
(+ z (* -1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* x (* y z)) |
(*.f64 (*.f64 z x) y) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x) |
(* y z) |
(*.f64 z y) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* y (+ (* -1 z) (/ z y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64)) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(* -1 (* y (- 1 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) |
x |
(+ x (* x (* z (- y 1)))) |
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x) |
(+ 1 (* z (- y 1))) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64)) |
(* z (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(* x (* z (- y 1))) |
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x) |
(* z (+ (* x (- y 1)) (/ x z))) |
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x) |
(* z (- y 1)) |
(*.f64 (+.f64 #s(literal -1 binary64) y) z) |
(* z (- (+ y (/ 1 z)) 1)) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64)) |
(* -1 (* x (* z (- 1 y)))) |
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x) |
(* -1 (* z (- 1 y))) |
(*.f64 (+.f64 #s(literal -1 binary64) y) z) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 43 | 24 |
| 2 | 287 | 24 |
| 3 | 2739 | 24 |
| 0 | 9002 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64))) x) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64))) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) x)) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)))) x)) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))))) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) z)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) z) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) z)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) x))) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64))) x))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) x) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)))) x) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(/.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) z) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) z))) |
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) x)) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
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(*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (-.f64 y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64)))) (neg.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (*.f64 (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(neg.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 y))) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64)) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (neg.f64 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 1 binary64) y))) |
(+.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 y)) |
(+.f64 #s(literal 1 binary64) y) |
Compiled 8 179 to 1 435 computations (82.5% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 352 | 10 | 362 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 353 | 10 | 363 |
| Status | Accuracy | Program |
|---|---|---|
| 67.6% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) | |
| 46.9% | (*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) | |
| 47.0% | (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))))) | |
| ▶ | 69.4% | (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
| ▶ | 47.8% | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y)))))) |
| ▶ | 69.1% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
| 57.4% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z))) | |
| ▶ | 33.0% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
| ▶ | 94.8% | #s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)) |
| 38.9% | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
Compiled 346 to 240 computations (30.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) | |
| cost-diff | 1 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y)))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y))))) | |
| cost-diff | 0 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y)))))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) | |
| cost-diff | 0 | (+.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | (*.f64 (+.f64 #s(literal -1 binary64) y) z) | |
| cost-diff | 0 | (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x) | |
| cost-diff | 0 | #s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 250 |
| 0 | 61 | 250 |
| 1 | 106 | 250 |
| 2 | 225 | 250 |
| 3 | 604 | 250 |
| 4 | 1532 | 249 |
| 5 | 3278 | 249 |
| 6 | 5370 | 249 |
| 7 | 7747 | 249 |
| 0 | 8095 | 243 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)) |
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x) |
(*.f64 (+.f64 #s(literal -1 binary64) y) z) |
(+.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
z |
x |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
x |
#s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
x |
#s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y)))))) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y))))) |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
y |
(sqrt.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 z z) |
z |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
x |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) |
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) |
(pow.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
z |
(+.f64 (fma.f64 y y y) #s(literal 1 binary64)) |
(fma.f64 y y y) |
| Outputs |
|---|
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)) |
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x) |
(*.f64 (+.f64 #s(literal -1 binary64) y) z) |
(+.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
z |
x |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) x) |
x |
#s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
(*.f64 #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) x) |
x |
#s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y)))))) |
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y))) x) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
y |
(sqrt.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 z z) |
z |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) z) x) |
x |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 z (-.f64 (fma.f64 y y y) #s(literal -1 binary64))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(*.f64 (/.f64 z (-.f64 (fma.f64 y y y) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) |
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) |
(pow.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
z |
(+.f64 (fma.f64 y y y) #s(literal 1 binary64)) |
(-.f64 (fma.f64 y y y) #s(literal -1 binary64)) |
(fma.f64 y y y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) | |
| accuracy | 0.7297317670334489 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) | |
| accuracy | 2.1708084211289576 | (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) | |
| accuracy | 9.527391861234324 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) | |
| accuracy | 0.078125 | (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y)))) | |
| accuracy | 1.7589937282204946 | (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 2.1629959211289576 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y)))))) | |
| accuracy | 22.116647899634017 | (sqrt.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y))) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 2.1708084211289576 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) | |
| accuracy | 35.45286623790985 | #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) z) | |
| accuracy | 2.1708084211289576 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) | |
| accuracy | 13.893842478055912 | #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0.0 | (+.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.0 | #s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)) | |
| accuracy | 0.00390625 | (*.f64 (+.f64 #s(literal -1 binary64) y) z) | |
| accuracy | 2.1629959211289576 | (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x) |
| 142.0ms | 203× | 0 | valid |
| 12.0ms | 53× | 0 | invalid |
Compiled 233 to 34 computations (85.4% saved)
ival-mult: 65.0ms (58.1% of total)ival-pow: 19.0ms (17% of total)ival-add: 15.0ms (13.4% of total)ival-sub: 7.0ms (6.3% of total)ival-sqrt: 3.0ms (2.7% of total)ival-div: 2.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)) |
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x) |
(*.f64 (+.f64 #s(literal -1 binary64) y) z) |
(+.f64 #s(literal -1 binary64) y) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
#s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
#s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) |
(*.f64 z y) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y)))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) |
(sqrt.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y)) |
(+.f64 (fma.f64 y y y) #s(literal 1 binary64)) |
| Outputs |
|---|
(* x (- 1 (* z (- 1 y)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (- 1 (/ (* z (- 1 (pow y 3))) (+ 1 (+ y (pow y 2)))))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* x (- 1 z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(* -1 z) |
(+ (* -1 z) (* y z)) |
-1 |
(- y 1) |
(- 1 z) |
(- (+ 1 (* y z)) z) |
(* y z) |
z |
(+ z (* -1 (* y z))) |
1 |
(+ 1 (* -1/2 y)) |
(+ 1 (* y (- (* -1/8 y) 1/2))) |
(+ 1 (* y (- (* y (- (* -1/16 y) 1/8)) 1/2))) |
(- (+ 1 (* y (+ z (* y (+ z (* -1 z)))))) z) |
(- (+ 1 (* y (+ z (* y (+ z (+ (* -1 z) (* -1 (* y (+ z (* -1 z)))))))))) z) |
(+ (* x (- 1 z)) (* y (+ (* x z) (* x (* y (+ z (* -1 z))))))) |
(+ (* x (- 1 z)) (* y (+ (* x z) (* y (+ (* -1 (* x (* y (+ z (* -1 z))))) (* x (+ z (* -1 z)))))))) |
(+ z (* y (- (* -1 (* y (+ z (* -1 z)))) z))) |
(+ z (* y (- (* y (- (* y (+ z (* -1 z))) (+ z (* -1 z)))) z))) |
(+ z (* -1 (* (pow y 3) z))) |
(+ z (* -1/2 (* y z))) |
(+ z (* y (+ (* -1/2 z) (* -1/8 (* y z))))) |
(+ z (* y (+ (* -1/2 z) (* y (+ (* -1/8 z) (* -1/16 (* y z))))))) |
(pow z 2) |
(+ (* -1 (* y (pow z 2))) (pow z 2)) |
(+ 1 y) |
(+ 1 (* y (+ 1 y))) |
(* x (* y z)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* y (+ z (* -1 (/ z y)))) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (/ z y))) |
(* (sqrt y) (sqrt -1)) |
(* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 y)) (sqrt -1)))) |
(* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 y)) (sqrt -1))))) |
(* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 y)) (sqrt -1)))))) |
(* y (- (+ (* -1 (/ z y)) (/ 1 y)) (* -1 z))) |
(* y (- (+ (* -1 (/ z y)) (+ (* -1 (/ z (pow y 2))) (+ (/ 1 y) (/ z (pow y 2))))) (* -1 z))) |
(* y (- (+ (* -1 (/ z y)) (+ (* -1 (/ z (pow y 2))) (+ (* -1 (/ (+ z (* -1 z)) (pow y 3))) (+ (/ 1 y) (/ z (pow y 2)))))) (* -1 z))) |
(* y (+ (* x z) (/ (* x (+ 1 (* -1 z))) y))) |
(* y (+ (* x z) (+ (/ (* x (+ 1 (* -1 z))) y) (/ (* x (+ z (* -1 z))) (pow y 2))))) |
(* y (+ (* -1 (/ (* x (+ z (* -1 z))) (pow y 3))) (+ (* x z) (+ (/ (* x (+ 1 (* -1 z))) y) (/ (* x (+ z (* -1 z))) (pow y 2)))))) |
(* y (- (+ (* -1 z) (* -1 (/ (+ z (* -1 z)) (pow y 2)))) (* -1 (/ z y)))) |
(* y (- (+ (* -1 z) (+ (* -1 (/ z (pow y 3))) (/ z (pow y 3)))) (+ (* -1 (/ z y)) (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))) |
(* -1 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1 z) (/ z (pow y 3)))) |
(* (sqrt y) (* z (sqrt -1))) |
(* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1))))) |
(* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ z (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1)))))) |
(* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ z (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (/ z (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1))))))) |
(* -1 (* y (pow z 2))) |
(* y (+ (* -1 (pow z 2)) (/ (pow z 2) y))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(* -1 (* (sqrt y) (sqrt -1))) |
(* -1 (* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (sqrt -1))) (* (sqrt (/ 1 y)) (sqrt -1))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (sqrt -1))) (* (sqrt (/ 1 y)) (sqrt -1)))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (sqrt -1))) (* (sqrt (/ 1 y)) (sqrt -1))))))) |
(* -1 (* y (- (* -1 (/ (+ 1 (* -1 z)) y)) z))) |
(* -1 (* y (- (* -1 (/ (+ 1 (+ (* -1 z) (* -1 (/ (+ z (* -1 z)) y)))) y)) z))) |
(* -1 (* y (- (* -1 (/ (+ 1 (+ (* -1 z) (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (- (+ (* -1 z) (* 2 z)) z) y)))) y)))) y)) z))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (/ (* x (+ z (* -1 z))) y)) (* x (+ 1 (* -1 z)))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (- (+ (* -1 z) (* 2 z)) z)) y)) (* x (+ z (* -1 z)))) y)) (* x (+ 1 (* -1 z)))) y))))) |
(* -1 (* y (+ z (* -1 (/ (- (+ (* -1 (/ z y)) (/ z y)) (* -1 z)) y))))) |
(* -1 (* y (+ z (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- z (+ (* -1 z) (* 2 z))) y)) (+ z (* -1 z))) y)) (* -1 z)) y))))) |
(* -1 (* (pow y 3) (+ z (* -1 (/ z (pow y 3)))))) |
(* -1 (* (sqrt y) (* z (sqrt -1)))) |
(* -1 (* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1)))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (* z (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1))))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (* z (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (* z (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1)))))))) |
(* -1 (* y (+ (* -1 (/ (pow z 2) y)) (pow z 2)))) |
x |
(+ x (* x (* z (- y 1)))) |
(* z (- y 1)) |
(+ 1 (* z (- y 1))) |
(+ 1 (* -1 z)) |
(* z (- 1 y)) |
(+ 1 (* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2))))))) |
(+ x (* x (* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2)))))))) |
(/ (* z (- 1 (pow y 3))) (+ 1 (+ y (pow y 2)))) |
(* z (- 1 (pow y 3))) |
(* z (sqrt (- 1 y))) |
(* (pow z 2) (- 1 y)) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (- (+ y (/ 1 z)) 1)) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2)))))) |
(* z (- (+ (/ 1 z) (/ (pow y 3) (+ 1 (+ y (pow y 2))))) (/ 1 (+ 1 (+ y (pow y 2)))))) |
(* x (* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2))))))) |
(* z (+ (* x (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2)))))) (/ x z))) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(* -1 (* z (- 1 y))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* x (* z (- y 1)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- y 1))))) |
(* -1 (* z (- y 1))) |
(* -1 (* z (- y (+ 1 (/ 1 z))))) |
(* -1 (/ (* z (- 1 (pow y 3))) (+ 1 (+ y (pow y 2))))) |
(* z (+ (* -1 (/ (- 1 (pow y 3)) (+ 1 (+ y (pow y 2))))) (/ 1 z))) |
(* -1 (/ (* x (* z (- 1 (pow y 3)))) (+ 1 (+ y (pow y 2))))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ (* x (- 1 (pow y 3))) (+ 1 (+ y (pow y 2))))))) |
(* -1 (* z (sqrt (- 1 y)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | y | @ | 0 | ((* x (- 1 (* (- 1 y) z))) (+ (* (* (+ -1 y) z) x) x) (* (+ -1 y) z) (+ -1 y) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (- 1 z) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* z y) (* x (- 1 (* (sqrt (- 1 y)) (sqrt (* (* z z) (- 1 y)))))) (- 1 (* (sqrt (- 1 y)) (sqrt (* (* z z) (- 1 y))))) (* (sqrt (- 1 y)) (sqrt (* (* z z) (- 1 y)))) (sqrt (- 1 y)) (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1))) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)) (* (- 1 (pow y 3)) z) (sqrt (* (* z z) (- 1 y))) (* (* z z) (- 1 y)) (+ (+ (* y y) y) 1)) |
| 6.0ms | y | @ | -inf | ((* x (- 1 (* (- 1 y) z))) (+ (* (* (+ -1 y) z) x) x) (* (+ -1 y) z) (+ -1 y) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (- 1 z) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* z y) (* x (- 1 (* (sqrt (- 1 y)) (sqrt (* (* z z) (- 1 y)))))) (- 1 (* (sqrt (- 1 y)) (sqrt (* (* z z) (- 1 y))))) (* (sqrt (- 1 y)) (sqrt (* (* z z) (- 1 y)))) (sqrt (- 1 y)) (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1))) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)) (* (- 1 (pow y 3)) z) (sqrt (* (* z z) (- 1 y))) (* (* z z) (- 1 y)) (+ (+ (* y y) y) 1)) |
| 5.0ms | y | @ | inf | ((* x (- 1 (* (- 1 y) z))) (+ (* (* (+ -1 y) z) x) x) (* (+ -1 y) z) (+ -1 y) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (- 1 z) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* z y) (* x (- 1 (* (sqrt (- 1 y)) (sqrt (* (* z z) (- 1 y)))))) (- 1 (* (sqrt (- 1 y)) (sqrt (* (* z z) (- 1 y))))) (* (sqrt (- 1 y)) (sqrt (* (* z z) (- 1 y)))) (sqrt (- 1 y)) (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1))) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)) (* (- 1 (pow y 3)) z) (sqrt (* (* z z) (- 1 y))) (* (* z z) (- 1 y)) (+ (+ (* y y) y) 1)) |
| 4.0ms | z | @ | -inf | ((* x (- 1 (* (- 1 y) z))) (+ (* (* (+ -1 y) z) x) x) (* (+ -1 y) z) (+ -1 y) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (- 1 z) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* z y) (* x (- 1 (* (sqrt (- 1 y)) (sqrt (* (* z z) (- 1 y)))))) (- 1 (* (sqrt (- 1 y)) (sqrt (* (* z z) (- 1 y))))) (* (sqrt (- 1 y)) (sqrt (* (* z z) (- 1 y)))) (sqrt (- 1 y)) (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1))) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)) (* (- 1 (pow y 3)) z) (sqrt (* (* z z) (- 1 y))) (* (* z z) (- 1 y)) (+ (+ (* y y) y) 1)) |
| 4.0ms | z | @ | inf | ((* x (- 1 (* (- 1 y) z))) (+ (* (* (+ -1 y) z) x) x) (* (+ -1 y) z) (+ -1 y) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (- 1 z) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* z y) (* x (- 1 (* (sqrt (- 1 y)) (sqrt (* (* z z) (- 1 y)))))) (- 1 (* (sqrt (- 1 y)) (sqrt (* (* z z) (- 1 y))))) (* (sqrt (- 1 y)) (sqrt (* (* z z) (- 1 y)))) (sqrt (- 1 y)) (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1))) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)) (* (- 1 (pow y 3)) z) (sqrt (* (* z z) (- 1 y))) (* (* z z) (- 1 y)) (+ (+ (* y y) y) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 447 | 1667 |
| 1 | 1561 | 1522 |
| 2 | 6588 | 1512 |
| 0 | 8261 | 1430 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (- 1 (* z (- 1 y)))) |
(* x (+ 1 (* z (- y 1)))) |
(* x (- 1 (/ (* z (- 1 (pow y 3))) (+ 1 (+ y (pow y 2)))))) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(* x (- 1 z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(* -1 z) |
(+ (* -1 z) (* y z)) |
-1 |
(- y 1) |
(- 1 z) |
(- (+ 1 (* y z)) z) |
(* y z) |
z |
(+ z (* -1 (* y z))) |
1 |
(+ 1 (* -1/2 y)) |
(+ 1 (* y (- (* -1/8 y) 1/2))) |
(+ 1 (* y (- (* y (- (* -1/16 y) 1/8)) 1/2))) |
(- (+ 1 (* y (+ z (* y (+ z (* -1 z)))))) z) |
(- (+ 1 (* y (+ z (* y (+ z (+ (* -1 z) (* -1 (* y (+ z (* -1 z)))))))))) z) |
(+ (* x (- 1 z)) (* y (+ (* x z) (* x (* y (+ z (* -1 z))))))) |
(+ (* x (- 1 z)) (* y (+ (* x z) (* y (+ (* -1 (* x (* y (+ z (* -1 z))))) (* x (+ z (* -1 z)))))))) |
(+ z (* y (- (* -1 (* y (+ z (* -1 z)))) z))) |
(+ z (* y (- (* y (- (* y (+ z (* -1 z))) (+ z (* -1 z)))) z))) |
(+ z (* -1 (* (pow y 3) z))) |
(+ z (* -1/2 (* y z))) |
(+ z (* y (+ (* -1/2 z) (* -1/8 (* y z))))) |
(+ z (* y (+ (* -1/2 z) (* y (+ (* -1/8 z) (* -1/16 (* y z))))))) |
(pow z 2) |
(+ (* -1 (* y (pow z 2))) (pow z 2)) |
(+ 1 y) |
(+ 1 (* y (+ 1 y))) |
(* x (* y z)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(* y (+ z (* -1 (/ z y)))) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (/ z y))) |
(* (sqrt y) (sqrt -1)) |
(* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 y)) (sqrt -1)))) |
(* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 y)) (sqrt -1))))) |
(* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 y)) (sqrt -1)))))) |
(* y (- (+ (* -1 (/ z y)) (/ 1 y)) (* -1 z))) |
(* y (- (+ (* -1 (/ z y)) (+ (* -1 (/ z (pow y 2))) (+ (/ 1 y) (/ z (pow y 2))))) (* -1 z))) |
(* y (- (+ (* -1 (/ z y)) (+ (* -1 (/ z (pow y 2))) (+ (* -1 (/ (+ z (* -1 z)) (pow y 3))) (+ (/ 1 y) (/ z (pow y 2)))))) (* -1 z))) |
(* y (+ (* x z) (/ (* x (+ 1 (* -1 z))) y))) |
(* y (+ (* x z) (+ (/ (* x (+ 1 (* -1 z))) y) (/ (* x (+ z (* -1 z))) (pow y 2))))) |
(* y (+ (* -1 (/ (* x (+ z (* -1 z))) (pow y 3))) (+ (* x z) (+ (/ (* x (+ 1 (* -1 z))) y) (/ (* x (+ z (* -1 z))) (pow y 2)))))) |
(* y (- (+ (* -1 z) (* -1 (/ (+ z (* -1 z)) (pow y 2)))) (* -1 (/ z y)))) |
(* y (- (+ (* -1 z) (+ (* -1 (/ z (pow y 3))) (/ z (pow y 3)))) (+ (* -1 (/ z y)) (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))) |
(* -1 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1 z) (/ z (pow y 3)))) |
(* (sqrt y) (* z (sqrt -1))) |
(* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1))))) |
(* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ z (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1)))))) |
(* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ z (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (/ z (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1))))))) |
(* -1 (* y (pow z 2))) |
(* y (+ (* -1 (pow z 2)) (/ (pow z 2) y))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(* -1 (* (sqrt y) (sqrt -1))) |
(* -1 (* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (sqrt -1))) (* (sqrt (/ 1 y)) (sqrt -1))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (sqrt -1))) (* (sqrt (/ 1 y)) (sqrt -1)))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (sqrt -1))) (* (sqrt (/ 1 y)) (sqrt -1))))))) |
(* -1 (* y (- (* -1 (/ (+ 1 (* -1 z)) y)) z))) |
(* -1 (* y (- (* -1 (/ (+ 1 (+ (* -1 z) (* -1 (/ (+ z (* -1 z)) y)))) y)) z))) |
(* -1 (* y (- (* -1 (/ (+ 1 (+ (* -1 z) (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (- (+ (* -1 z) (* 2 z)) z) y)))) y)))) y)) z))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (/ (* x (+ z (* -1 z))) y)) (* x (+ 1 (* -1 z)))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (- (+ (* -1 z) (* 2 z)) z)) y)) (* x (+ z (* -1 z)))) y)) (* x (+ 1 (* -1 z)))) y))))) |
(* -1 (* y (+ z (* -1 (/ (- (+ (* -1 (/ z y)) (/ z y)) (* -1 z)) y))))) |
(* -1 (* y (+ z (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- z (+ (* -1 z) (* 2 z))) y)) (+ z (* -1 z))) y)) (* -1 z)) y))))) |
(* -1 (* (pow y 3) (+ z (* -1 (/ z (pow y 3)))))) |
(* -1 (* (sqrt y) (* z (sqrt -1)))) |
(* -1 (* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1)))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (* z (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1))))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (* z (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (* z (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1)))))))) |
(* -1 (* y (+ (* -1 (/ (pow z 2) y)) (pow z 2)))) |
x |
(+ x (* x (* z (- y 1)))) |
(* z (- y 1)) |
(+ 1 (* z (- y 1))) |
(+ 1 (* -1 z)) |
(* z (- 1 y)) |
(+ 1 (* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2))))))) |
(+ x (* x (* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2)))))))) |
(/ (* z (- 1 (pow y 3))) (+ 1 (+ y (pow y 2)))) |
(* z (- 1 (pow y 3))) |
(* z (sqrt (- 1 y))) |
(* (pow z 2) (- 1 y)) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (- (+ y (/ 1 z)) 1)) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2)))))) |
(* z (- (+ (/ 1 z) (/ (pow y 3) (+ 1 (+ y (pow y 2))))) (/ 1 (+ 1 (+ y (pow y 2)))))) |
(* x (* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2))))))) |
(* z (+ (* x (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2)))))) (/ x z))) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(* -1 (* z (- 1 y))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* x (* z (- y 1)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- y 1))))) |
(* -1 (* z (- y 1))) |
(* -1 (* z (- y (+ 1 (/ 1 z))))) |
(* -1 (/ (* z (- 1 (pow y 3))) (+ 1 (+ y (pow y 2))))) |
(* z (+ (* -1 (/ (- 1 (pow y 3)) (+ 1 (+ y (pow y 2))))) (/ 1 z))) |
(* -1 (/ (* x (* z (- 1 (pow y 3)))) (+ 1 (+ y (pow y 2))))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ (* x (- 1 (pow y 3))) (+ 1 (+ y (pow y 2))))))) |
(* -1 (* z (sqrt (- 1 y)))) |
| Outputs |
|---|
(* x (- 1 (* z (- 1 y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y))) x) |
(* x (+ 1 (* z (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* x (- 1 (/ (* z (- 1 (pow y 3))) (+ 1 (+ y (pow y 2)))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) (neg.f64 z) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (* z (- y 1))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 z) (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) |
(* x (- 1 z)) |
(-.f64 x (*.f64 z x)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(*.f64 (fma.f64 z y (-.f64 #s(literal 1 binary64) z)) x) |
(+ x (* -1 (* x z))) |
(-.f64 x (*.f64 z x)) |
(+ x (+ (* -1 (* x z)) (* x (* y z)))) |
(*.f64 (fma.f64 z y (-.f64 #s(literal 1 binary64) z)) x) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* y z)) |
(*.f64 (+.f64 #s(literal -1 binary64) y) z) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(- 1 z) |
(-.f64 #s(literal 1 binary64) z) |
(- (+ 1 (* y z)) z) |
(fma.f64 z y (-.f64 #s(literal 1 binary64) z)) |
(* y z) |
(*.f64 z y) |
z |
(+ z (* -1 (* y z))) |
(fma.f64 (neg.f64 z) y z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 y)) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* -1/8 y) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (- (* -1/16 y) 1/8)) 1/2))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) y) #s(literal 1/8 binary64)) y) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) |
(- (+ 1 (* y (+ z (* y (+ z (* -1 z)))))) z) |
(-.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) y z) y #s(literal 1 binary64)) z) |
(- (+ 1 (* y (+ z (* y (+ z (+ (* -1 z) (* -1 (* y (+ z (* -1 z)))))))))) z) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) y #s(literal 0 binary64)) y z) y #s(literal 1 binary64)) z) |
(+ (* x (- 1 z)) (* y (+ (* x z) (* x (* y (+ z (* -1 z))))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 0 binary64) y z) x) y (-.f64 x (*.f64 z x))) |
(+ (* x (- 1 z)) (* y (+ (* x z) (* y (+ (* -1 (* x (* y (+ z (* -1 z))))) (* x (+ z (* -1 z)))))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) z) x (*.f64 (fma.f64 (*.f64 y (*.f64 y x)) #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 0 binary64) y z) x)) y)) |
(+ z (* y (- (* -1 (* y (+ z (* -1 z)))) z))) |
(fma.f64 (neg.f64 y) (fma.f64 #s(literal 0 binary64) y z) z) |
(+ z (* y (- (* y (- (* y (+ z (* -1 z))) (+ z (* -1 z)))) z))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 0 binary64) y #s(literal 0 binary64)) y) z) y z) |
(+ z (* -1 (* (pow y 3) z))) |
(fma.f64 (neg.f64 z) (pow.f64 y #s(literal 3 binary64)) z) |
(+ z (* -1/2 (* y z))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) z) |
(+ z (* y (+ (* -1/2 z) (* -1/8 (* y z))))) |
(fma.f64 (*.f64 z (fma.f64 #s(literal -1/8 binary64) y #s(literal -1/2 binary64))) y z) |
(+ z (* y (+ (* -1/2 z) (* y (+ (* -1/8 z) (* -1/16 (* y z))))))) |
(fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/16 binary64) y #s(literal -1/8 binary64))) y (*.f64 #s(literal -1/2 binary64) z)) y z) |
(pow z 2) |
(*.f64 z z) |
(+ (* -1 (* y (pow z 2))) (pow z 2)) |
(*.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) (*.f64 z z)) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
(+ 1 (* y (+ 1 y))) |
(fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (* y z)) |
(*.f64 (*.f64 z x) y) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(*.f64 (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)) y) |
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y)))) |
(*.f64 (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)) y) |
(* y (+ z (* -1 (/ z y)))) |
(*.f64 (-.f64 z (/.f64 z y)) y) |
y |
(* y (- 1 (/ 1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* y (+ (* -1 z) (/ z y))) |
(*.f64 (-.f64 (/.f64 z y) z) y) |
(* (sqrt y) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y)) |
(* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 y)) (sqrt -1)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) y) |
(* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 y)) (sqrt -1))))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) y) |
(* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 y)) (sqrt -1)))))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))))) y) |
(* y (- (+ (* -1 (/ z y)) (/ 1 y)) (* -1 z))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z) y) |
(* y (- (+ (* -1 (/ z y)) (+ (* -1 (/ z (pow y 2))) (+ (/ 1 y) (/ z (pow y 2))))) (* -1 z))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z) y) |
(* y (- (+ (* -1 (/ z y)) (+ (* -1 (/ z (pow y 2))) (+ (* -1 (/ (+ z (* -1 z)) (pow y 3))) (+ (/ 1 y) (/ z (pow y 2)))))) (* -1 z))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z) y) |
(* y (+ (* x z) (/ (* x (+ 1 (* -1 z))) y))) |
(*.f64 (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)) y) |
(* y (+ (* x z) (+ (/ (* x (+ 1 (* -1 z))) y) (/ (* x (+ z (* -1 z))) (pow y 2))))) |
(*.f64 (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)) y) |
(* y (+ (* -1 (/ (* x (+ z (* -1 z))) (pow y 3))) (+ (* x z) (+ (/ (* x (+ 1 (* -1 z))) y) (/ (* x (+ z (* -1 z))) (pow y 2)))))) |
(*.f64 (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)) y) |
(* y (- (+ (* -1 z) (* -1 (/ (+ z (* -1 z)) (pow y 2)))) (* -1 (/ z y)))) |
(*.f64 (-.f64 (/.f64 z y) z) y) |
(* y (- (+ (* -1 z) (+ (* -1 (/ z (pow y 3))) (/ z (pow y 3)))) (+ (* -1 (/ z y)) (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))) |
(*.f64 (-.f64 (/.f64 z y) z) y) |
(* -1 (* (pow y 3) z)) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) z) |
(* (pow y 3) (+ (* -1 z) (/ z (pow y 3)))) |
(*.f64 (-.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) z) (pow.f64 y #s(literal 3 binary64))) |
(* (sqrt y) (* z (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 y) z) (sqrt.f64 #s(literal -1 binary64))) |
(* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y) |
(* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ z (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) z) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y) |
(* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ z (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (/ z (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) z) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) y) |
(* -1 (* y (pow z 2))) |
(*.f64 (*.f64 (neg.f64 z) y) z) |
(* y (+ (* -1 (pow z 2)) (/ (pow z 2) y))) |
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 z (/.f64 z y))) y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y (/.f64 (*.f64 y y) y)) |
(* (pow y 2) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) #s(literal 1 binary64)) y) y) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (neg.f64 y) (neg.f64 (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y))))) |
(*.f64 (neg.f64 y) (neg.f64 (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 z y) z)) |
(* -1 (* y (- (/ 1 y) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) y) z)) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(*.f64 (-.f64 (/.f64 z y) z) y) |
(* -1 (* (sqrt y) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (sqrt -1))) (* (sqrt (/ 1 y)) (sqrt -1))))) |
(*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (sqrt -1))) (* (sqrt (/ 1 y)) (sqrt -1)))))) |
(*.f64 (neg.f64 y) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (sqrt -1))) (* (sqrt (/ 1 y)) (sqrt -1))))))) |
(*.f64 (neg.f64 y) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) |
(* -1 (* y (- (* -1 (/ (+ 1 (* -1 z)) y)) z))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) y) z)) |
(* -1 (* y (- (* -1 (/ (+ 1 (+ (* -1 z) (* -1 (/ (+ z (* -1 z)) y)))) y)) z))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) y) z)) |
(* -1 (* y (- (* -1 (/ (+ 1 (+ (* -1 z) (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (- (+ (* -1 z) (* 2 z)) z) y)))) y)))) y)) z))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) y) z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y))))) |
(*.f64 (neg.f64 y) (neg.f64 (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (/ (* x (+ z (* -1 z))) y)) (* x (+ 1 (* -1 z)))) y))))) |
(*.f64 (neg.f64 y) (neg.f64 (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (- (+ (* -1 z) (* 2 z)) z)) y)) (* x (+ z (* -1 z)))) y)) (* x (+ 1 (* -1 z)))) y))))) |
(*.f64 (neg.f64 y) (neg.f64 (fma.f64 z x (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x (fma.f64 #s(literal 0 binary64) x (*.f64 #s(literal 0 binary64) x))) y)))) |
(* -1 (* y (+ z (* -1 (/ (- (+ (* -1 (/ z y)) (/ z y)) (* -1 z)) y))))) |
(*.f64 (-.f64 (/.f64 z y) z) y) |
(* -1 (* y (+ z (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- z (+ (* -1 z) (* 2 z))) y)) (+ z (* -1 z))) y)) (* -1 z)) y))))) |
(*.f64 (-.f64 (/.f64 z y) z) y) |
(* -1 (* (pow y 3) (+ z (* -1 (/ z (pow y 3)))))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (-.f64 z (/.f64 z (pow.f64 y #s(literal 3 binary64))))) |
(* -1 (* (sqrt y) (* z (sqrt -1)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 y)) z) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1)))))) |
(*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (* z (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1))))))) |
(*.f64 (neg.f64 y) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) z) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (* z (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (* z (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1)))))))) |
(*.f64 (neg.f64 y) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) |
(* -1 (* y (+ (* -1 (/ (pow z 2) y)) (pow z 2)))) |
(*.f64 (neg.f64 y) (fma.f64 z z (/.f64 (*.f64 (neg.f64 z) z) y))) |
x |
(+ x (* x (* z (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* z (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) z) |
(+ 1 (* z (- y 1))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(* z (- 1 y)) |
(*.f64 z (-.f64 #s(literal 1 binary64) y)) |
(+ 1 (* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2))))))) |
(fma.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))) z #s(literal 1 binary64)) |
(+ x (* x (* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2)))))))) |
(fma.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))) (*.f64 z x) x) |
(/ (* z (- 1 (pow y 3))) (+ 1 (+ y (pow y 2)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(* z (- 1 (pow y 3))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) |
(* z (sqrt (- 1 y))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) z) |
(* (pow z 2) (- 1 y)) |
(*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) z) |
(* x (* z (- y 1))) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x) |
(* z (+ (* x (- y 1)) (/ x z))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x (/.f64 x z)) z) |
(* z (- (+ y (/ 1 z)) 1)) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z) |
(* z (- (/ 1 z) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z) |
(* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2)))))) |
(*.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))) z) |
(* z (- (+ (/ 1 z) (/ (pow y 3) (+ 1 (+ y (pow y 2))))) (/ 1 (+ 1 (+ y (pow y 2)))))) |
(fma.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))) z #s(literal 1 binary64)) |
(* x (* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2))))))) |
(*.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))) (*.f64 z x)) |
(* z (+ (* x (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2)))))) (/ x z))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))) x (/.f64 x z)) z) |
(* -1 (* x (* z (- 1 y)))) |
(*.f64 (neg.f64 x) (*.f64 z (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x (/.f64 x (neg.f64 z))) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z))))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x (/.f64 x z)) z) |
(* -1 (* z (- 1 y))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) z) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(-.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)) |
(* -1 (* x (* z (- y 1)))) |
(*.f64 (neg.f64 x) (*.f64 (-.f64 y #s(literal 1 binary64)) z)) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- y 1))))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x (/.f64 x (neg.f64 z))) (neg.f64 z)) |
(* -1 (* z (- y 1))) |
(*.f64 (neg.f64 z) (-.f64 y #s(literal 1 binary64))) |
(* -1 (* z (- y (+ 1 (/ 1 z))))) |
(*.f64 (-.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))) (neg.f64 z)) |
(* -1 (/ (* z (- 1 (pow y 3))) (+ 1 (+ y (pow y 2))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) (neg.f64 z)) |
(* z (+ (* -1 (/ (- 1 (pow y 3)) (+ 1 (+ y (pow y 2))))) (/ 1 z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) (neg.f64 z) #s(literal 1 binary64)) |
(* -1 (/ (* x (* z (- 1 (pow y 3)))) (+ 1 (+ y (pow y 2))))) |
(*.f64 (neg.f64 x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ (* x (- 1 (pow y 3))) (+ 1 (+ y (pow y 2))))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) x (/.f64 x (neg.f64 z))) (neg.f64 z)) |
(* -1 (* z (sqrt (- 1 y)))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 213 |
| 0 | 61 | 174 |
| 1 | 225 | 165 |
| 2 | 1704 | 157 |
| 0 | 9351 | 151 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)) |
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x) |
(*.f64 (+.f64 #s(literal -1 binary64) y) z) |
(+.f64 #s(literal -1 binary64) y) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
#s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
#s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) |
(*.f64 z y) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y)))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) |
(sqrt.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y)) |
(+.f64 (fma.f64 y y y) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (-.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64))) |
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(fma.f64 (/.f64 (fma.f64 y y y) y) (/.f64 (fma.f64 y y y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 y y y) #s(literal 1 binary64)) (/.f64 (fma.f64 y y y) (fma.f64 y y y)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 (fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) (fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) (*.f64 y y)) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 y))) (fma.f64 y y #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (fma.f64 y y #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (fma.f64 y y #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) (*.f64 y y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) (neg.f64 y) (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 (*.f64 y y) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 (fma.f64 y y y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 y y)) |
(fma.f64 y (-.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 y y (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 y #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 y y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) y (fma.f64 y y #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y y y))) (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)) (neg.f64 y)) |
(-.f64 (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (-.f64 (fma.f64 y y y) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) |
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (fma.f64 y y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (fma.f64 y y y))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (fma.f64 y y y)))) (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (fma.f64 y y y))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)) y) |
(+.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y y y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y y y)))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y y y))) (pow.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y y y)) #s(literal -1 binary64))) |
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) |
(+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) |
(+.f64 (fma.f64 y y y) #s(literal 1 binary64)) |
(+.f64 y (fma.f64 y y #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y y y)) |
Compiled 15 798 to 2 476 computations (84.3% saved)
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 553 | 5 | 558 |
| Fresh | 2 | 3 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 558 | 10 | 568 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.9% | (*.f64 x (fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) z) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
| 46.9% | (*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) | |
| ▶ | 34.7% | (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) #s(approx (+ (+ (* y y) y) 1) (*.f64 y y))))) |
| ▶ | 57.4% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z))) |
| ✓ | 33.0% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
| ▶ | 91.9% | #s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (fma.f64 (*.f64 (fma.f64 #s(literal 0 binary64) y z) x) y (-.f64 x (*.f64 z x)))) |
| ✓ | 94.8% | #s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)) |
| 68.5% | #s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) y)) z))) | |
| ▶ | 69.1% | #s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) |
| 38.9% | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
Compiled 337 to 235 computations (30.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) #s(approx (+ (+ (* y y) y) 1) (*.f64 y y))) | |
| cost-diff | 0 | (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) #s(approx (+ (+ (* y y) y) 1) (*.f64 y y))))) | |
| cost-diff | 1 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) #s(approx (+ (+ (* y y) y) 1) (*.f64 y y)))) | |
| cost-diff | 0 | (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) z) | |
| cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) z) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) | |
| cost-diff | 7 | (fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) z) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | (*.f64 (+.f64 #s(literal -1 binary64) y) z) | |
| cost-diff | 0 | #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z))) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | (-.f64 x (*.f64 z x)) | |
| cost-diff | 0 | #s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 0 binary64) y z) x) | |
| cost-diff | 0 | #s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (fma.f64 (*.f64 (fma.f64 #s(literal 0 binary64) y z) x) y (-.f64 x (*.f64 z x)))) | |
| cost-diff | 2 | (fma.f64 (*.f64 (fma.f64 #s(literal 0 binary64) y z) x) y (-.f64 x (*.f64 z x))) | |
| cost-diff | 3 | (fma.f64 #s(literal 0 binary64) y z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 280 |
| 0 | 69 | 275 |
| 1 | 124 | 263 |
| 2 | 293 | 254 |
| 3 | 948 | 254 |
| 4 | 2889 | 254 |
| 5 | 5419 | 254 |
| 6 | 7123 | 254 |
| 0 | 8065 | 239 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (fma.f64 (*.f64 (fma.f64 #s(literal 0 binary64) y z) x) y (-.f64 x (*.f64 z x)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 0 binary64) y z) x) y (-.f64 x (*.f64 z x))) |
(*.f64 (fma.f64 #s(literal 0 binary64) y z) x) |
(fma.f64 #s(literal 0 binary64) y z) |
#s(literal 0 binary64) |
y |
z |
x |
(-.f64 x (*.f64 z x)) |
(*.f64 z x) |
#s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) |
(-.f64 x (*.f64 z x)) |
x |
(*.f64 z x) |
z |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z))) |
x |
#s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z)) |
(*.f64 (+.f64 #s(literal -1 binary64) y) z) |
(+.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
z |
(*.f64 x (fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) z) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
x |
(fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) z) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) z) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
z |
(neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) #s(approx (+ (+ (* y y) y) 1) (*.f64 y y))))) |
x |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) #s(approx (+ (+ (* y y) y) 1) (*.f64 y y)))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) #s(approx (+ (+ (* y y) y) 1) (*.f64 y y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) |
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) |
(pow.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
z |
#s(approx (+ (+ (* y y) y) 1) (*.f64 y y)) |
(*.f64 y y) |
| Outputs |
|---|
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (fma.f64 (*.f64 (fma.f64 #s(literal 0 binary64) y z) x) y (-.f64 x (*.f64 z x)))) |
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (*.f64 (fma.f64 (+.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 0 binary64) y z) x) y (-.f64 x (*.f64 z x))) |
(*.f64 (fma.f64 (+.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 #s(literal 0 binary64) y z) x) |
(*.f64 z x) |
(fma.f64 #s(literal 0 binary64) y z) |
z |
#s(literal 0 binary64) |
y |
z |
x |
(-.f64 x (*.f64 z x)) |
(*.f64 z x) |
#s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) |
(-.f64 x (*.f64 z x)) |
x |
(*.f64 z x) |
z |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z))) |
(*.f64 #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z)) x) |
x |
#s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z)) |
(*.f64 (+.f64 #s(literal -1 binary64) y) z) |
(+.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
z |
(*.f64 x (fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) z) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (+.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64)) x) |
x |
(fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) z) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) z) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
z |
(neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) #s(approx (+ (+ (* y y) y) 1) (*.f64 y y))))) |
(fma.f64 (/.f64 (*.f64 z x) #s(approx (+ (+ (* y y) y) 1) (*.f64 y y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) x) |
x |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) #s(approx (+ (+ (* y y) y) 1) (*.f64 y y)))) |
(fma.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) #s(approx (+ (+ (* y y) y) 1) (*.f64 y y))) z #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) #s(approx (+ (+ (* y y) y) 1) (*.f64 y y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) |
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) |
(pow.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
z |
#s(approx (+ (+ (* y y) y) 1) (*.f64 y y)) |
(*.f64 y y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.7297317670334489 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) | |
| accuracy | 2.1708084211289576 | (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) #s(approx (+ (+ (* y y) y) 1) (*.f64 y y))))) | |
| accuracy | 9.527391861234324 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) #s(approx (+ (+ (* y y) y) 1) (*.f64 y y))) | |
| accuracy | 30.16015304730066 | #s(approx (+ (+ (* y y) y) 1) (*.f64 y y)) | |
| accuracy | 0.00390625 | (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.0390625 | (fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) z) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) | |
| accuracy | 0.06640625 | (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) z) | |
| accuracy | 2.1708084211289576 | (*.f64 x (fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) z) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (+.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.00390625 | (*.f64 (+.f64 #s(literal -1 binary64) y) z) | |
| accuracy | 2.1708084211289576 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z))) | |
| accuracy | 19.410827310220107 | #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z)) | |
| accuracy | 0.0 | (-.f64 x (*.f64 z x)) | |
| accuracy | 0.0 | (*.f64 z x) | |
| accuracy | 11.41281821219071 | #s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) | |
| accuracy | 0.0 | (*.f64 (fma.f64 #s(literal 0 binary64) y z) x) | |
| accuracy | 0.0 | (*.f64 z x) | |
| accuracy | 0.0 | #s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (fma.f64 (*.f64 (fma.f64 #s(literal 0 binary64) y z) x) y (-.f64 x (*.f64 z x)))) | |
| accuracy | 2.77828353364656 | (fma.f64 (*.f64 (fma.f64 #s(literal 0 binary64) y z) x) y (-.f64 x (*.f64 z x))) |
| 93.0ms | 203× | 0 | valid |
| 32.0ms | 53× | 0 | invalid |
Compiled 240 to 37 computations (84.6% saved)
ival-mult: 53.0ms (69.8% of total)ival-add: 7.0ms (9.2% of total)ival-sub: 6.0ms (7.9% of total)ival-pow: 5.0ms (6.6% of total)ival-div: 2.0ms (2.6% of total)ival-sqrt: 2.0ms (2.6% of total)exact: 1.0ms (1.3% of total)ival-neg: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 #s(literal 0 binary64) y z) |
(fma.f64 (*.f64 (fma.f64 #s(literal 0 binary64) y z) x) y (-.f64 x (*.f64 z x))) |
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (fma.f64 (*.f64 (fma.f64 #s(literal 0 binary64) y z) x) y (-.f64 x (*.f64 z x)))) |
(*.f64 (fma.f64 #s(literal 0 binary64) y z) x) |
#s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) |
(-.f64 x (*.f64 z x)) |
(*.f64 z x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z))) |
#s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z)) |
(*.f64 (+.f64 #s(literal -1 binary64) y) z) |
(+.f64 #s(literal -1 binary64) y) |
(fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) z) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(*.f64 x (fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) z) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) z) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) #s(approx (+ (+ (* y y) y) 1) (*.f64 y y)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) #s(approx (+ (+ (* y y) y) 1) (*.f64 y y))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) #s(approx (+ (+ (* y y) y) 1) (*.f64 y y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) |
#s(approx (+ (+ (* y y) y) 1) (*.f64 y y)) |
| Outputs |
|---|
(* x (- (+ 1 (* y z)) z)) |
(* x (- 1 (/ (* z (- 1 (pow y 3))) (+ 1 (+ y (pow y 2)))))) |
(* x z) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 z)) |
(* x (+ 1 (* -1 (* z (- 1 y))))) |
(* -1 (* x (- (* -1 (* y z)) (+ 1 (* -1 z))))) |
(* x (+ 1 (* -1 z))) |
z |
(- x (* x z)) |
(- (+ x (* x (* y z))) (* x z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (- 1 z)) (* y (+ (* x z) (* x (* y (+ z (* -1 z))))))) |
(+ (* x (- 1 z)) (* y (+ (* x z) (* y (+ (* -1 (* x (* y (+ z (* -1 z))))) (* x (+ z (* -1 z)))))))) |
(- 1 z) |
(- (+ 1 (* y z)) z) |
(* -1 z) |
(+ (* -1 z) (* y z)) |
-1 |
(- y 1) |
(+ 1 (* -1 z)) |
(+ 1 (+ (* -1 z) (* y z))) |
(+ (* x (* y z)) (* x (+ 1 (* -1 z)))) |
(+ z (* -1/2 (* y z))) |
(+ z (* y (+ (* -1/2 z) (* -1/8 (* y z))))) |
(+ z (* y (+ (* -1/2 z) (* y (+ (* -1/8 z) (* -1/16 (* y z))))))) |
1 |
(+ 1 (* -1/2 y)) |
(+ 1 (* y (- (* -1/8 y) 1/2))) |
(+ 1 (* y (- (* y (- (* -1/16 y) 1/8)) 1/2))) |
(- (+ 1 (* y (+ z (* y (+ z (* -1 z)))))) z) |
(- (+ 1 (* y (+ z (* y (+ z (+ (* -1 z) (* -1 (* y (+ z (* -1 z)))))))))) z) |
(+ z (* -1 (* y z))) |
(+ z (* y (- (* -1 (* y (+ z (* -1 z)))) z))) |
(+ z (* y (- (* y (- (* y (+ z (* -1 z))) (+ z (* -1 z)))) z))) |
(+ z (* -1 (* (pow y 3) z))) |
(+ 1 y) |
(+ 1 (* y (+ 1 y))) |
(* x (* y z)) |
(* y (- (+ (* x z) (/ x y)) (/ (* x z) y))) |
(* y (+ (* x z) (/ (* x (+ 1 (* -1 z))) y))) |
(* y (+ (* x z) (+ (/ (* x (+ 1 (* -1 z))) y) (/ (* x (+ z (* -1 z))) (pow y 2))))) |
(* y (+ (* -1 (/ (* x (+ z (* -1 z))) (pow y 3))) (+ (* x z) (+ (/ (* x (+ 1 (* -1 z))) y) (/ (* x (+ z (* -1 z))) (pow y 2)))))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (+ z (* -1 (/ z y)))) |
y |
(* y (- 1 (/ 1 y))) |
(* y (+ z (+ (* -1 (/ z y)) (/ 1 y)))) |
(* (sqrt y) (* z (sqrt -1))) |
(* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1))))) |
(* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ z (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1)))))) |
(* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ z (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (/ z (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1))))))) |
(* (sqrt y) (sqrt -1)) |
(* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 y)) (sqrt -1)))) |
(* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 y)) (sqrt -1))))) |
(* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 y)) (sqrt -1)))))) |
(* y (- (+ (* -1 (/ z y)) (/ 1 y)) (* -1 z))) |
(* y (- (+ (* -1 (/ z y)) (+ (* -1 (/ z (pow y 2))) (+ (/ 1 y) (/ z (pow y 2))))) (* -1 z))) |
(* y (- (+ (* -1 (/ z y)) (+ (* -1 (/ z (pow y 2))) (+ (* -1 (/ (+ z (* -1 z)) (pow y 3))) (+ (/ 1 y) (/ z (pow y 2)))))) (* -1 z))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (/ z y))) |
(* y (- (+ (* -1 z) (* -1 (/ (+ z (* -1 z)) (pow y 2)))) (* -1 (/ z y)))) |
(* y (- (+ (* -1 z) (+ (* -1 (/ z (pow y 3))) (/ z (pow y 3)))) (+ (* -1 (/ z y)) (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))) |
(* -1 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1 z) (/ z (pow y 3)))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- x (* x z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (/ (* x (+ z (* -1 z))) y)) (* x (+ 1 (* -1 z)))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (- (+ (* -1 z) (* 2 z)) z)) y)) (* x (+ z (* -1 z)))) y)) (* x (+ 1 (* -1 z)))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ 1 (* -1 z)) y))))) |
(* -1 (* (sqrt y) (* z (sqrt -1)))) |
(* -1 (* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1)))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (* z (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1))))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (* z (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (* z (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1)))))))) |
(* -1 (* (sqrt y) (sqrt -1))) |
(* -1 (* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (sqrt -1))) (* (sqrt (/ 1 y)) (sqrt -1))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (sqrt -1))) (* (sqrt (/ 1 y)) (sqrt -1)))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (sqrt -1))) (* (sqrt (/ 1 y)) (sqrt -1))))))) |
(* -1 (* y (- (* -1 (/ (+ 1 (* -1 z)) y)) z))) |
(* -1 (* y (- (* -1 (/ (+ 1 (+ (* -1 z) (* -1 (/ (+ z (* -1 z)) y)))) y)) z))) |
(* -1 (* y (- (* -1 (/ (+ 1 (+ (* -1 z) (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (- (+ (* -1 z) (* 2 z)) z) y)))) y)))) y)) z))) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(* -1 (* y (+ z (* -1 (/ (- (+ (* -1 (/ z y)) (/ z y)) (* -1 z)) y))))) |
(* -1 (* y (+ z (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- z (+ (* -1 z) (* 2 z))) y)) (+ z (* -1 z))) y)) (* -1 z)) y))))) |
(* -1 (* (pow y 3) (+ z (* -1 (/ z (pow y 3)))))) |
x |
(+ x (* z (- (* x y) x))) |
(+ x (* x (* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2)))))))) |
(+ x (* x (* z (- y 1)))) |
(+ x (* -1 (* x z))) |
(+ 1 (* z (- y 1))) |
(* z (- y 1)) |
(+ 1 (* -1 (* z (- 1 y)))) |
(+ x (* -1 (* x (* z (- 1 y))))) |
(* z (sqrt (- 1 y))) |
(+ 1 (* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2))))))) |
(/ (* z (- 1 (pow y 3))) (+ 1 (+ y (pow y 2)))) |
(* z (- 1 (pow y 3))) |
(* z (- (* x y) x)) |
(* z (- (+ (* x y) (/ x z)) x)) |
(* x (* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2))))))) |
(* z (+ (* x (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2)))))) (/ x z))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* -1 (* x z)) |
(* z (- (/ x z) x)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* -1 (* z (- 1 y))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* -1 (* x (* z (- 1 y)))) |
(* z (+ (* -1 (* x (- 1 y))) (/ x z))) |
(* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2)))))) |
(* z (- (+ (/ 1 z) (/ (pow y 3) (+ 1 (+ y (pow y 2))))) (/ 1 (+ 1 (+ y (pow y 2)))))) |
(* -1 (* z (- (* -1 (* x y)) (* -1 x)))) |
(* -1 (* z (- (+ (* -1 (* x y)) (* -1 (/ x z))) (* -1 x)))) |
(* -1 (/ (* x (* z (- 1 (pow y 3)))) (+ 1 (+ y (pow y 2))))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ (* x (- 1 (pow y 3))) (+ 1 (+ y (pow y 2))))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 x)))) |
(* -1 (* z (- 1 (+ y (/ 1 z))))) |
(* -1 (/ (* z (- 1 (pow y 3))) (+ 1 (+ y (pow y 2))))) |
(* z (+ (* -1 (/ (- 1 (pow y 3)) (+ 1 (+ y (pow y 2))))) (/ 1 z))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | z | @ | -inf | ((+ (* 0 y) z) (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (* (+ (* 0 y) z) x) (* x (- 1 (* (- 1 y) z))) (- x (* z x)) (* z x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (+ -1 y) z) (+ -1 y) (+ (* (* (sqrt (- 1 y)) z) (neg (sqrt (- 1 y)))) 1) (* x (+ (* (* (sqrt (- 1 y)) z) (neg (sqrt (- 1 y)))) 1)) (* (sqrt (- 1 y)) z) (sqrt (- 1 y)) (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1))) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)) (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)) |
| 3.0ms | z | @ | inf | ((+ (* 0 y) z) (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (* (+ (* 0 y) z) x) (* x (- 1 (* (- 1 y) z))) (- x (* z x)) (* z x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (+ -1 y) z) (+ -1 y) (+ (* (* (sqrt (- 1 y)) z) (neg (sqrt (- 1 y)))) 1) (* x (+ (* (* (sqrt (- 1 y)) z) (neg (sqrt (- 1 y)))) 1)) (* (sqrt (- 1 y)) z) (sqrt (- 1 y)) (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1))) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)) (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)) |
| 3.0ms | x | @ | -inf | ((+ (* 0 y) z) (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (* (+ (* 0 y) z) x) (* x (- 1 (* (- 1 y) z))) (- x (* z x)) (* z x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (+ -1 y) z) (+ -1 y) (+ (* (* (sqrt (- 1 y)) z) (neg (sqrt (- 1 y)))) 1) (* x (+ (* (* (sqrt (- 1 y)) z) (neg (sqrt (- 1 y)))) 1)) (* (sqrt (- 1 y)) z) (sqrt (- 1 y)) (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1))) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)) (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)) |
| 3.0ms | x | @ | 0 | ((+ (* 0 y) z) (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (* (+ (* 0 y) z) x) (* x (- 1 (* (- 1 y) z))) (- x (* z x)) (* z x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (+ -1 y) z) (+ -1 y) (+ (* (* (sqrt (- 1 y)) z) (neg (sqrt (- 1 y)))) 1) (* x (+ (* (* (sqrt (- 1 y)) z) (neg (sqrt (- 1 y)))) 1)) (* (sqrt (- 1 y)) z) (sqrt (- 1 y)) (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1))) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)) (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)) |
| 3.0ms | x | @ | inf | ((+ (* 0 y) z) (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (* (+ (* 0 y) z) x) (* x (- 1 (* (- 1 y) z))) (- x (* z x)) (* z x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (+ -1 y) z) (+ -1 y) (+ (* (* (sqrt (- 1 y)) z) (neg (sqrt (- 1 y)))) 1) (* x (+ (* (* (sqrt (- 1 y)) z) (neg (sqrt (- 1 y)))) 1)) (* (sqrt (- 1 y)) z) (sqrt (- 1 y)) (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1))) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)) (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 452 | 1704 |
| 1 | 1577 | 1556 |
| 2 | 6402 | 1545 |
| 0 | 8074 | 1461 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (- (+ 1 (* y z)) z)) |
(* x (- 1 (/ (* z (- 1 (pow y 3))) (+ 1 (+ y (pow y 2)))))) |
(* x z) |
(* x (- 1 (* z (- 1 y)))) |
(* x (- 1 z)) |
(* x (+ 1 (* -1 (* z (- 1 y))))) |
(* -1 (* x (- (* -1 (* y z)) (+ 1 (* -1 z))))) |
(* x (+ 1 (* -1 z))) |
z |
(- x (* x z)) |
(- (+ x (* x (* y z))) (* x z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (- 1 z)) (* y (+ (* x z) (* x (* y (+ z (* -1 z))))))) |
(+ (* x (- 1 z)) (* y (+ (* x z) (* y (+ (* -1 (* x (* y (+ z (* -1 z))))) (* x (+ z (* -1 z)))))))) |
(- 1 z) |
(- (+ 1 (* y z)) z) |
(* -1 z) |
(+ (* -1 z) (* y z)) |
-1 |
(- y 1) |
(+ 1 (* -1 z)) |
(+ 1 (+ (* -1 z) (* y z))) |
(+ (* x (* y z)) (* x (+ 1 (* -1 z)))) |
(+ z (* -1/2 (* y z))) |
(+ z (* y (+ (* -1/2 z) (* -1/8 (* y z))))) |
(+ z (* y (+ (* -1/2 z) (* y (+ (* -1/8 z) (* -1/16 (* y z))))))) |
1 |
(+ 1 (* -1/2 y)) |
(+ 1 (* y (- (* -1/8 y) 1/2))) |
(+ 1 (* y (- (* y (- (* -1/16 y) 1/8)) 1/2))) |
(- (+ 1 (* y (+ z (* y (+ z (* -1 z)))))) z) |
(- (+ 1 (* y (+ z (* y (+ z (+ (* -1 z) (* -1 (* y (+ z (* -1 z)))))))))) z) |
(+ z (* -1 (* y z))) |
(+ z (* y (- (* -1 (* y (+ z (* -1 z)))) z))) |
(+ z (* y (- (* y (- (* y (+ z (* -1 z))) (+ z (* -1 z)))) z))) |
(+ z (* -1 (* (pow y 3) z))) |
(+ 1 y) |
(+ 1 (* y (+ 1 y))) |
(* x (* y z)) |
(* y (- (+ (* x z) (/ x y)) (/ (* x z) y))) |
(* y (+ (* x z) (/ (* x (+ 1 (* -1 z))) y))) |
(* y (+ (* x z) (+ (/ (* x (+ 1 (* -1 z))) y) (/ (* x (+ z (* -1 z))) (pow y 2))))) |
(* y (+ (* -1 (/ (* x (+ z (* -1 z))) (pow y 3))) (+ (* x z) (+ (/ (* x (+ 1 (* -1 z))) y) (/ (* x (+ z (* -1 z))) (pow y 2)))))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (+ z (* -1 (/ z y)))) |
y |
(* y (- 1 (/ 1 y))) |
(* y (+ z (+ (* -1 (/ z y)) (/ 1 y)))) |
(* (sqrt y) (* z (sqrt -1))) |
(* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1))))) |
(* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ z (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1)))))) |
(* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ z (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (/ z (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1))))))) |
(* (sqrt y) (sqrt -1)) |
(* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 y)) (sqrt -1)))) |
(* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 y)) (sqrt -1))))) |
(* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 y)) (sqrt -1)))))) |
(* y (- (+ (* -1 (/ z y)) (/ 1 y)) (* -1 z))) |
(* y (- (+ (* -1 (/ z y)) (+ (* -1 (/ z (pow y 2))) (+ (/ 1 y) (/ z (pow y 2))))) (* -1 z))) |
(* y (- (+ (* -1 (/ z y)) (+ (* -1 (/ z (pow y 2))) (+ (* -1 (/ (+ z (* -1 z)) (pow y 3))) (+ (/ 1 y) (/ z (pow y 2)))))) (* -1 z))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (/ z y))) |
(* y (- (+ (* -1 z) (* -1 (/ (+ z (* -1 z)) (pow y 2)))) (* -1 (/ z y)))) |
(* y (- (+ (* -1 z) (+ (* -1 (/ z (pow y 3))) (/ z (pow y 3)))) (+ (* -1 (/ z y)) (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))) |
(* -1 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1 z) (/ z (pow y 3)))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- x (* x z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (/ (* x (+ z (* -1 z))) y)) (* x (+ 1 (* -1 z)))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (- (+ (* -1 z) (* 2 z)) z)) y)) (* x (+ z (* -1 z)))) y)) (* x (+ 1 (* -1 z)))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ 1 (* -1 z)) y))))) |
(* -1 (* (sqrt y) (* z (sqrt -1)))) |
(* -1 (* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1)))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (* z (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1))))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (* z (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (* z (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1)))))))) |
(* -1 (* (sqrt y) (sqrt -1))) |
(* -1 (* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (sqrt -1))) (* (sqrt (/ 1 y)) (sqrt -1))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (sqrt -1))) (* (sqrt (/ 1 y)) (sqrt -1)))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (sqrt -1))) (* (sqrt (/ 1 y)) (sqrt -1))))))) |
(* -1 (* y (- (* -1 (/ (+ 1 (* -1 z)) y)) z))) |
(* -1 (* y (- (* -1 (/ (+ 1 (+ (* -1 z) (* -1 (/ (+ z (* -1 z)) y)))) y)) z))) |
(* -1 (* y (- (* -1 (/ (+ 1 (+ (* -1 z) (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (- (+ (* -1 z) (* 2 z)) z) y)))) y)))) y)) z))) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(* -1 (* y (+ z (* -1 (/ (- (+ (* -1 (/ z y)) (/ z y)) (* -1 z)) y))))) |
(* -1 (* y (+ z (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- z (+ (* -1 z) (* 2 z))) y)) (+ z (* -1 z))) y)) (* -1 z)) y))))) |
(* -1 (* (pow y 3) (+ z (* -1 (/ z (pow y 3)))))) |
x |
(+ x (* z (- (* x y) x))) |
(+ x (* x (* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2)))))))) |
(+ x (* x (* z (- y 1)))) |
(+ x (* -1 (* x z))) |
(+ 1 (* z (- y 1))) |
(* z (- y 1)) |
(+ 1 (* -1 (* z (- 1 y)))) |
(+ x (* -1 (* x (* z (- 1 y))))) |
(* z (sqrt (- 1 y))) |
(+ 1 (* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2))))))) |
(/ (* z (- 1 (pow y 3))) (+ 1 (+ y (pow y 2)))) |
(* z (- 1 (pow y 3))) |
(* z (- (* x y) x)) |
(* z (- (+ (* x y) (/ x z)) x)) |
(* x (* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2))))))) |
(* z (+ (* x (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2)))))) (/ x z))) |
(* x (* z (- y 1))) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* -1 (* x z)) |
(* z (- (/ x z) x)) |
(* z (- (+ y (/ 1 z)) 1)) |
(* -1 (* z (- 1 y))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(* -1 (* x (* z (- 1 y)))) |
(* z (+ (* -1 (* x (- 1 y))) (/ x z))) |
(* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2)))))) |
(* z (- (+ (/ 1 z) (/ (pow y 3) (+ 1 (+ y (pow y 2))))) (/ 1 (+ 1 (+ y (pow y 2)))))) |
(* -1 (* z (- (* -1 (* x y)) (* -1 x)))) |
(* -1 (* z (- (+ (* -1 (* x y)) (* -1 (/ x z))) (* -1 x)))) |
(* -1 (/ (* x (* z (- 1 (pow y 3)))) (+ 1 (+ y (pow y 2))))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ (* x (- 1 (pow y 3))) (+ 1 (+ y (pow y 2))))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 x)))) |
(* -1 (* z (- 1 (+ y (/ 1 z))))) |
(* -1 (/ (* z (- 1 (pow y 3))) (+ 1 (+ y (pow y 2))))) |
(* z (+ (* -1 (/ (- 1 (pow y 3)) (+ 1 (+ y (pow y 2))))) (/ 1 z))) |
| Outputs |
|---|
(* x (- (+ 1 (* y z)) z)) |
(*.f64 (-.f64 (fma.f64 z y #s(literal 1 binary64)) z) x) |
(* x (- 1 (/ (* z (- 1 (pow y 3))) (+ 1 (+ y (pow y 2)))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (neg.f64 z) #s(literal 1 binary64)) x) |
(* x z) |
(*.f64 x z) |
(* x (- 1 (* z (- 1 y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x) |
(* x (- 1 z)) |
(-.f64 x (*.f64 x z)) |
(* x (+ 1 (* -1 (* z (- 1 y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x) |
(* -1 (* x (- (* -1 (* y z)) (+ 1 (* -1 z))))) |
(*.f64 (neg.f64 x) (-.f64 (fma.f64 (neg.f64 z) y z) #s(literal 1 binary64))) |
(* x (+ 1 (* -1 z))) |
(-.f64 x (*.f64 x z)) |
z |
(- x (* x z)) |
(-.f64 x (*.f64 x z)) |
(- (+ x (* x (* y z))) (* x z)) |
(*.f64 (-.f64 (fma.f64 z y #s(literal 1 binary64)) z) x) |
(+ (* x (* y z)) (* x (- 1 z))) |
(*.f64 (-.f64 (fma.f64 z y #s(literal 1 binary64)) z) x) |
(+ (* x (- 1 z)) (* y (+ (* x z) (* x (* y (+ z (* -1 z))))))) |
(fma.f64 (*.f64 x y) (fma.f64 #s(literal 0 binary64) y z) (-.f64 x (*.f64 x z))) |
(+ (* x (- 1 z)) (* y (+ (* x z) (* y (+ (* -1 (* x (* y (+ z (* -1 z))))) (* x (+ z (* -1 z)))))))) |
(fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 0 binary64) y #s(literal 0 binary64))) y (*.f64 x z)) y (-.f64 x (*.f64 x z))) |
(- 1 z) |
(-.f64 #s(literal 1 binary64) z) |
(- (+ 1 (* y z)) z) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* y z)) |
(*.f64 (+.f64 #s(literal -1 binary64) y) z) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (+ (* -1 z) (* y z))) |
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z) |
(+ (* x (* y z)) (* x (+ 1 (* -1 z)))) |
(*.f64 (-.f64 (fma.f64 z y #s(literal 1 binary64)) z) x) |
(+ z (* -1/2 (* y z))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) z) |
(+ z (* y (+ (* -1/2 z) (* -1/8 (* y z))))) |
(fma.f64 (*.f64 z (fma.f64 #s(literal -1/8 binary64) y #s(literal -1/2 binary64))) y z) |
(+ z (* y (+ (* -1/2 z) (* y (+ (* -1/8 z) (* -1/16 (* y z))))))) |
(fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/16 binary64) y #s(literal -1/8 binary64))) y (*.f64 #s(literal -1/2 binary64) z)) y z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 y)) |
(fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* -1/8 y) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) y) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (- (* -1/16 y) 1/8)) 1/2))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) y) #s(literal 1/8 binary64)) y) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) |
(- (+ 1 (* y (+ z (* y (+ z (* -1 z)))))) z) |
(fma.f64 (fma.f64 #s(literal 0 binary64) y z) y (-.f64 #s(literal 1 binary64) z)) |
(- (+ 1 (* y (+ z (* y (+ z (+ (* -1 z) (* -1 (* y (+ z (* -1 z)))))))))) z) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) y #s(literal 0 binary64)) y z) y (-.f64 #s(literal 1 binary64) z)) |
(+ z (* -1 (* y z))) |
(fma.f64 (neg.f64 z) y z) |
(+ z (* y (- (* -1 (* y (+ z (* -1 z)))) z))) |
(fma.f64 (neg.f64 y) (fma.f64 #s(literal 0 binary64) y z) z) |
(+ z (* y (- (* y (- (* y (+ z (* -1 z))) (+ z (* -1 z)))) z))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) y #s(literal 0 binary64)) y (neg.f64 z)) y z) |
(+ z (* -1 (* (pow y 3) z))) |
(fma.f64 (neg.f64 z) (pow.f64 y #s(literal 3 binary64)) z) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (+ 1 y))) |
(fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) |
(* x (* y z)) |
(*.f64 (*.f64 x z) y) |
(* y (- (+ (* x z) (/ x y)) (/ (* x z) y))) |
(*.f64 (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)) y) |
(* y (+ (* x z) (/ (* x (+ 1 (* -1 z))) y))) |
(*.f64 (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)) y) |
(* y (+ (* x z) (+ (/ (* x (+ 1 (* -1 z))) y) (/ (* x (+ z (* -1 z))) (pow y 2))))) |
(*.f64 (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)) y) |
(* y (+ (* -1 (/ (* x (+ z (* -1 z))) (pow y 3))) (+ (* x z) (+ (/ (* x (+ 1 (* -1 z))) y) (/ (* x (+ z (* -1 z))) (pow y 2)))))) |
(*.f64 (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)) y) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(*.f64 (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)) y) |
(* y z) |
(*.f64 z y) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z) y) |
(* y (+ z (* -1 (/ z y)))) |
(*.f64 (-.f64 z (/.f64 z y)) y) |
y |
(* y (- 1 (/ 1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) |
(* y (+ z (+ (* -1 (/ z y)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z) y) |
(* (sqrt y) (* z (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 y) z) (sqrt.f64 #s(literal -1 binary64))) |
(* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z))) y) |
(* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ z (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) z) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)))) y) |
(* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ z (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (/ z (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) z) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z))))) y) |
(* (sqrt y) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y)) |
(* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 y)) (sqrt -1)))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1 binary64)))) y) |
(* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 y)) (sqrt -1))))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))))) y) |
(* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 y)) (sqrt -1)))))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1 binary64)))))) y) |
(* y (- (+ (* -1 (/ z y)) (/ 1 y)) (* -1 z))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z) y) |
(* y (- (+ (* -1 (/ z y)) (+ (* -1 (/ z (pow y 2))) (+ (/ 1 y) (/ z (pow y 2))))) (* -1 z))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z) y) |
(* y (- (+ (* -1 (/ z y)) (+ (* -1 (/ z (pow y 2))) (+ (* -1 (/ (+ z (* -1 z)) (pow y 3))) (+ (/ 1 y) (/ z (pow y 2)))))) (* -1 z))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* y (+ (* -1 z) (/ z y))) |
(*.f64 (-.f64 (/.f64 z y) z) y) |
(* y (- (+ (* -1 z) (* -1 (/ (+ z (* -1 z)) (pow y 2)))) (* -1 (/ z y)))) |
(*.f64 (-.f64 (/.f64 z y) z) y) |
(* y (- (+ (* -1 z) (+ (* -1 (/ z (pow y 3))) (/ z (pow y 3)))) (+ (* -1 (/ z y)) (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))) |
(*.f64 (-.f64 (/.f64 z y) z) y) |
(* -1 (* (pow y 3) z)) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) z) |
(* (pow y 3) (+ (* -1 z) (/ z (pow y 3)))) |
(*.f64 (-.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) z) (pow.f64 y #s(literal 3 binary64))) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y (/.f64 (*.f64 y y) y)) |
(* (pow y 2) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) #s(literal 1 binary64)) y) y) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- x (* x z)) y))))) |
(*.f64 (neg.f64 y) (neg.f64 (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y))))) |
(*.f64 (neg.f64 y) (neg.f64 (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (/ (* x (+ z (* -1 z))) y)) (* x (+ 1 (* -1 z)))) y))))) |
(*.f64 (neg.f64 y) (neg.f64 (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (- (+ (* -1 z) (* 2 z)) z)) y)) (* x (+ z (* -1 z)))) y)) (* x (+ 1 (* -1 z)))) y))))) |
(*.f64 (neg.f64 y) (neg.f64 (fma.f64 x z (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x (fma.f64 #s(literal 0 binary64) x (*.f64 #s(literal 0 binary64) x))) y)))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (neg.f64 y) (neg.f64 (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) y) z)) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 z y) z)) |
(* -1 (* y (- (/ 1 y) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ 1 (* -1 z)) y))))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) y) z)) |
(* -1 (* (sqrt y) (* z (sqrt -1)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 y)) z) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1)))))) |
(*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (* z (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1))))))) |
(*.f64 (neg.f64 y) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) z) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (* z (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (* z (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (sqrt -1)))) (* (sqrt (/ 1 y)) (* z (sqrt -1)))))))) |
(*.f64 (neg.f64 y) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) |
(* -1 (* (sqrt y) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (sqrt -1))) (* (sqrt (/ 1 y)) (sqrt -1))))) |
(*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (sqrt -1))) (* (sqrt (/ 1 y)) (sqrt -1)))))) |
(*.f64 (neg.f64 y) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) |
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (sqrt -1))) (* (sqrt (/ 1 y)) (sqrt -1))))))) |
(*.f64 (neg.f64 y) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) |
(* -1 (* y (- (* -1 (/ (+ 1 (* -1 z)) y)) z))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) y) z)) |
(* -1 (* y (- (* -1 (/ (+ 1 (+ (* -1 z) (* -1 (/ (+ z (* -1 z)) y)))) y)) z))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) y) z)) |
(* -1 (* y (- (* -1 (/ (+ 1 (+ (* -1 z) (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (- (+ (* -1 z) (* 2 z)) z) y)))) y)))) y)) z))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) y) z)) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(*.f64 (-.f64 (/.f64 z y) z) y) |
(* -1 (* y (+ z (* -1 (/ (- (+ (* -1 (/ z y)) (/ z y)) (* -1 z)) y))))) |
(*.f64 (-.f64 (/.f64 z y) z) y) |
(* -1 (* y (+ z (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- z (+ (* -1 z) (* 2 z))) y)) (+ z (* -1 z))) y)) (* -1 z)) y))))) |
(*.f64 (-.f64 (/.f64 z y) z) y) |
(* -1 (* (pow y 3) (+ z (* -1 (/ z (pow y 3)))))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (-.f64 z (/.f64 z (pow.f64 y #s(literal 3 binary64))))) |
x |
(+ x (* z (- (* x y) x))) |
(*.f64 (-.f64 (fma.f64 z y #s(literal 1 binary64)) z) x) |
(+ x (* x (* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2)))))))) |
(fma.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (*.f64 x z) x) |
(+ x (* x (* z (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(+ x (* -1 (* x z))) |
(-.f64 x (*.f64 x z)) |
(+ 1 (* z (- y 1))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(* z (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) z) |
(+ 1 (* -1 (* z (- 1 y)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
(+ x (* -1 (* x (* z (- 1 y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x) |
(* z (sqrt (- 1 y))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) z) |
(+ 1 (* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2))))))) |
(fma.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) z #s(literal 1 binary64)) |
(/ (* z (- 1 (pow y 3))) (+ 1 (+ y (pow y 2)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) |
(* z (- 1 (pow y 3))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) |
(* z (- (* x y) x)) |
(*.f64 (-.f64 (*.f64 x y) x) z) |
(* z (- (+ (* x y) (/ x z)) x)) |
(*.f64 (-.f64 (fma.f64 x y (/.f64 x z)) x) z) |
(* x (* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2))))))) |
(*.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (*.f64 x z)) |
(* z (+ (* x (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2)))))) (/ x z))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) x (/.f64 x z)) z) |
(* x (* z (- y 1))) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z) |
(* z (+ (* x (- y 1)) (/ x z))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x (/.f64 x z)) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* z (- (/ x z) x)) |
(*.f64 (-.f64 (/.f64 x z) x) z) |
(* z (- (+ y (/ 1 z)) 1)) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z) |
(* -1 (* z (- 1 y))) |
(*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y)) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
(* -1 (* x (* z (- 1 y)))) |
(*.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
(* z (+ (* -1 (* x (- 1 y))) (/ x z))) |
(*.f64 (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) z) |
(* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2)))))) |
(*.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) z) |
(* z (- (+ (/ 1 z) (/ (pow y 3) (+ 1 (+ y (pow y 2))))) (/ 1 (+ 1 (+ y (pow y 2)))))) |
(fma.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) z #s(literal 1 binary64)) |
(* -1 (* z (- (* -1 (* x y)) (* -1 x)))) |
(*.f64 (-.f64 (*.f64 x y) x) z) |
(* -1 (* z (- (+ (* -1 (* x y)) (* -1 (/ x z))) (* -1 x)))) |
(*.f64 (fma.f64 (fma.f64 x y (/.f64 x z)) #s(literal -1 binary64) x) (neg.f64 z)) |
(* -1 (/ (* x (* z (- 1 (pow y 3)))) (+ 1 (+ y (pow y 2))))) |
(*.f64 (neg.f64 x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ (* x (- 1 (pow y 3))) (+ 1 (+ y (pow y 2))))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 x z)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(*.f64 (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) z) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 x)))) |
(*.f64 (-.f64 (/.f64 x z) x) z) |
(* -1 (* z (- 1 (+ y (/ 1 z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) z) y)) (neg.f64 z)) |
(* -1 (/ (* z (- 1 (pow y 3))) (+ 1 (+ y (pow y 2))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (neg.f64 z)) |
(* z (+ (* -1 (/ (- 1 (pow y 3)) (+ 1 (+ y (pow y 2))))) (/ 1 z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (neg.f64 z) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 234 |
| 0 | 69 | 232 |
| 1 | 272 | 212 |
| 2 | 2139 | 200 |
| 0 | 8803 | 196 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 #s(literal 0 binary64) y z) |
(fma.f64 (*.f64 (fma.f64 #s(literal 0 binary64) y z) x) y (-.f64 x (*.f64 z x))) |
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (fma.f64 (*.f64 (fma.f64 #s(literal 0 binary64) y z) x) y (-.f64 x (*.f64 z x)))) |
(*.f64 (fma.f64 #s(literal 0 binary64) y z) x) |
#s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) |
(-.f64 x (*.f64 z x)) |
(*.f64 z x) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z))) |
#s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z)) |
(*.f64 (+.f64 #s(literal -1 binary64) y) z) |
(+.f64 #s(literal -1 binary64) y) |
(fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) z) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(*.f64 x (fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) z) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) z) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) #s(approx (+ (+ (* y y) y) 1) (*.f64 y y)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) #s(approx (+ (+ (* y y) y) 1) (*.f64 y y))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) #s(approx (+ (+ (* y y) y) 1) (*.f64 y y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) |
#s(approx (+ (+ (* y y) y) 1) (*.f64 y y)) |
| Outputs |
|---|
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 z z)))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 z z #s(literal 0 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) (*.f64 z z))) (*.f64 z z)) |
(/.f64 (fma.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 z)) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (neg.f64 (neg.f64 (*.f64 z z))))) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (neg.f64 (neg.f64 z)))) |
(/.f64 (fma.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 z z #s(literal 0 binary64))) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (neg.f64 (fma.f64 z z #s(literal 0 binary64))))) |
(/.f64 (fma.f64 #s(literal 0 binary64) (neg.f64 z) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (neg.f64 (*.f64 z z)))) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (neg.f64 z))) |
(/.f64 (fma.f64 #s(literal 0 binary64) (-.f64 z #s(literal 0 binary64)) (pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (-.f64 z #s(literal 0 binary64)))) |
(/.f64 (fma.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 2 binary64))) |
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (neg.f64 (fma.f64 z z #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 z z))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (fma.f64 z z #s(literal 0 binary64))) (neg.f64 (-.f64 z #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 z z)) (neg.f64 z)) |
(/.f64 (fma.f64 z z #s(literal 0 binary64)) (-.f64 z #s(literal 0 binary64))) |
(/.f64 (*.f64 z z) z) |
(/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z #s(literal 0 binary64))) |
(fma.f64 #s(literal 0 binary64) y z) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (*.f64 z z) (neg.f64 z))) |
(+.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) z) |
(+.f64 #s(literal 0 binary64) z) |
(+.f64 z #s(literal 0 binary64)) |
z |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 x z) y x) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))) (neg.f64 (+.f64 (fma.f64 (*.f64 x z) y x) (*.f64 x z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x (*.f64 x z)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 x (*.f64 x z)) (*.f64 (*.f64 x z) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 x z) y x) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 x z) y x) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 x z) y x) (*.f64 x z)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64)) (pow.f64 (-.f64 x (*.f64 x z)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x z) y) (-.f64 x (*.f64 x z)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 x z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x (*.f64 x z)) (-.f64 (-.f64 x (*.f64 x z)) (*.f64 (*.f64 x z) y)) (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x z) y) (-.f64 x (*.f64 x z)))) (*.f64 (-.f64 (*.f64 (*.f64 x z) y) (-.f64 x (*.f64 x z))) (pow.f64 (-.f64 x (*.f64 x z)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 x z) y) (-.f64 x (*.f64 x z))) (-.f64 (*.f64 (*.f64 x z) y) (-.f64 x (*.f64 x z))))) |
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64)) (*.f64 x x)) (neg.f64 z)) (*.f64 (-.f64 (*.f64 (*.f64 x z) y) x) (*.f64 (neg.f64 (*.f64 z z)) x))) (*.f64 (-.f64 (*.f64 (*.f64 x z) y) x) (neg.f64 z))) |
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 z z #s(literal 0 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x z) y) x) (*.f64 (pow.f64 z #s(literal 3 binary64)) x))) (*.f64 (-.f64 (*.f64 (*.f64 x z) y) x) (fma.f64 z z #s(literal 0 binary64)))) |
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64)) (*.f64 x x)) (neg.f64 z)) (*.f64 (-.f64 (*.f64 (*.f64 x z) y) x) (*.f64 x (neg.f64 (*.f64 z z))))) (*.f64 (-.f64 (*.f64 (*.f64 x z) y) x) (neg.f64 z))) |
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 z z #s(literal 0 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x z) y) x) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (*.f64 (-.f64 (*.f64 (*.f64 x z) y) x) (fma.f64 z z #s(literal 0 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 z)) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x z) y) x))) (*.f64 (neg.f64 (*.f64 z z)) x))) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x z) y) x))) (neg.f64 z))) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z z #s(literal 0 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x z) y) x))) (*.f64 (pow.f64 z #s(literal 3 binary64)) x))) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x z) y) x))) (fma.f64 z z #s(literal 0 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 z)) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x z) y) x))) (*.f64 x (neg.f64 (*.f64 z z))))) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x z) y) x))) (neg.f64 z))) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z z #s(literal 0 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x z) y) x))) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x z) y) x))) (fma.f64 z z #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 3 binary64)) (fma.f64 (-.f64 x (*.f64 x z)) (-.f64 (-.f64 x (*.f64 x z)) (*.f64 (*.f64 x z) y)) (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64))) (*.f64 (fma.f64 (-.f64 x (*.f64 x z)) (-.f64 (-.f64 x (*.f64 x z)) (*.f64 (*.f64 x z) y)) (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (*.f64 x z)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 x (*.f64 x z)) (-.f64 (-.f64 x (*.f64 x z)) (*.f64 (*.f64 x z) y)) (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64))) (fma.f64 (-.f64 x (*.f64 x z)) (-.f64 (-.f64 x (*.f64 x z)) (*.f64 (*.f64 x z) y)) (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (*.f64 x y)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 x (*.f64 (neg.f64 z) x)))) (*.f64 (neg.f64 z) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) x) #s(literal 3 binary64))))) (*.f64 (neg.f64 z) (fma.f64 x x (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 x (*.f64 (neg.f64 z) x)))))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (*.f64 x y)) (neg.f64 (fma.f64 x z x)) (*.f64 (neg.f64 z) (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))))) (*.f64 (neg.f64 z) (neg.f64 (fma.f64 x z x)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (*.f64 x y)) (neg.f64 (fma.f64 (*.f64 x z) (fma.f64 x z x) (*.f64 x x))) (*.f64 (neg.f64 z) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))))) (*.f64 (neg.f64 z) (neg.f64 (fma.f64 (*.f64 x z) (fma.f64 x z x) (*.f64 x x))))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (*.f64 x y)) (fma.f64 x z x) (*.f64 (neg.f64 z) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))) (*.f64 (neg.f64 z) (fma.f64 x z x))) |
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 z #s(approx (+ (+ (* y y) y) 1) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) (/.f64 z #s(approx (+ (+ (* y y) y) 1) (*.f64 y y)))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 #s(approx (+ (+ (* y y) y) 1) (*.f64 y y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z)) #s(approx (+ (+ (* y y) y) 1) (*.f64 y y))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 #s(approx (+ (+ (* y y) y) 1) (*.f64 y y))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) z) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(approx (+ (+ (* y y) y) 1) (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) z) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) #s(approx (+ (+ (* y y) y) 1) (*.f64 y y)))) |
(/.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 #s(approx (+ (+ (* y y) y) 1) (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) #s(approx (+ (+ (* y y) y) 1) (*.f64 y y))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(approx (+ (+ (* y y) y) 1) (*.f64 y y)))) |
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (neg.f64 #s(approx (+ (+ (* y y) y) 1) (*.f64 y y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) |
(*.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) z)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) z)) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) z) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) z) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64)))) |
#s(approx (+ (+ (* y y) y) 1) (*.f64 y y)) |
Compiled 16 466 to 1 942 computations (88.2% saved)
11 alts after pruning (6 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 491 | 5 | 496 |
| Fresh | 2 | 1 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 495 | 11 | 506 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 75.9% | (*.f64 x (fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) z) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
| 46.9% | (*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) | |
| ✓ | 57.4% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z))) |
| ✓ | 33.0% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
| ▶ | 32.2% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z)))) |
| ▶ | 70.3% | #s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (fma.f64 (/.f64 (*.f64 (neg.f64 (*.f64 z z)) x) (neg.f64 z)) y (-.f64 x (*.f64 z x)))) |
| ▶ | 91.9% | #s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (fma.f64 (*.f64 z x) y (-.f64 x (*.f64 z x)))) |
| ▶ | 38.9% | #s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 x z) y))) |
| ✓ | 94.8% | #s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)) |
| ✓ | 69.1% | #s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) |
| ▶ | 61.3% | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)) |
Compiled 396 to 264 computations (33.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (neg.f64 (*.f64 z z)) x) | |
| cost-diff | 0 | #s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (fma.f64 (/.f64 (*.f64 (neg.f64 (*.f64 z z)) x) (neg.f64 z)) y (-.f64 x (*.f64 z x)))) | |
| cost-diff | 2 | (fma.f64 (/.f64 (*.f64 (neg.f64 (*.f64 z z)) x) (neg.f64 z)) y (-.f64 x (*.f64 z x))) | |
| cost-diff | 6 | (/.f64 (*.f64 (neg.f64 (*.f64 z z)) x) (neg.f64 z)) | |
| cost-diff | 0 | (-.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 y #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z) | |
| cost-diff | 0 | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)) | |
| cost-diff | 0 | (*.f64 x z) | |
| cost-diff | 0 | (*.f64 (*.f64 x z) y) | |
| cost-diff | 0 | #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 x z) y)) | |
| cost-diff | 0 | #s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 x z) y))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (* (+ -1 y) z) (neg.f64 z)) | |
| cost-diff | 0 | #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z))) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z)))) | |
| cost-diff | 0 | (-.f64 x (*.f64 z x)) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | #s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (fma.f64 (*.f64 z x) y (-.f64 x (*.f64 z x)))) | |
| cost-diff | 2 | (fma.f64 (*.f64 z x) y (-.f64 x (*.f64 z x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 293 |
| 0 | 68 | 271 |
| 1 | 135 | 265 |
| 2 | 342 | 259 |
| 3 | 1195 | 259 |
| 4 | 4859 | 259 |
| 0 | 8785 | 244 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (fma.f64 (*.f64 z x) y (-.f64 x (*.f64 z x)))) |
(fma.f64 (*.f64 z x) y (-.f64 x (*.f64 z x))) |
(*.f64 z x) |
z |
x |
y |
(-.f64 x (*.f64 z x)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z)))) |
x |
#s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z))) |
#s(approx (* (+ -1 y) z) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 x z) y))) |
#s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 x z) y)) |
(*.f64 (*.f64 x z) y) |
(*.f64 x z) |
x |
z |
y |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
x |
z |
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (fma.f64 (/.f64 (*.f64 (neg.f64 (*.f64 z z)) x) (neg.f64 z)) y (-.f64 x (*.f64 z x)))) |
(fma.f64 (/.f64 (*.f64 (neg.f64 (*.f64 z z)) x) (neg.f64 z)) y (-.f64 x (*.f64 z x))) |
(/.f64 (*.f64 (neg.f64 (*.f64 z z)) x) (neg.f64 z)) |
(*.f64 (neg.f64 (*.f64 z z)) x) |
(neg.f64 (*.f64 z z)) |
(*.f64 z z) |
z |
x |
(neg.f64 z) |
y |
(-.f64 x (*.f64 z x)) |
(*.f64 z x) |
| Outputs |
|---|
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (fma.f64 (*.f64 z x) y (-.f64 x (*.f64 z x)))) |
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 z x) y (-.f64 x (*.f64 z x))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(*.f64 z x) |
z |
x |
y |
(-.f64 x (*.f64 z x)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z)))) |
(*.f64 #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z))) x) |
x |
#s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z))) |
#s(approx (* (+ -1 y) z) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 x z) y))) |
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 z x) y))) |
#s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 x z) y)) |
#s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 z x) y)) |
(*.f64 (*.f64 x z) y) |
(*.f64 (*.f64 z x) y) |
(*.f64 x z) |
(*.f64 z x) |
x |
z |
y |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)) |
#s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x)) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z) |
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
x |
z |
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (fma.f64 (/.f64 (*.f64 (neg.f64 (*.f64 z z)) x) (neg.f64 z)) y (-.f64 x (*.f64 z x)))) |
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)) |
(fma.f64 (/.f64 (*.f64 (neg.f64 (*.f64 z z)) x) (neg.f64 z)) y (-.f64 x (*.f64 z x))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (neg.f64 (*.f64 z z)) x) (neg.f64 z)) |
(*.f64 z x) |
(*.f64 (neg.f64 (*.f64 z z)) x) |
(*.f64 (*.f64 (neg.f64 z) z) x) |
(neg.f64 (*.f64 z z)) |
(*.f64 (neg.f64 z) z) |
(*.f64 z z) |
z |
x |
(neg.f64 z) |
y |
(-.f64 x (*.f64 z x)) |
(*.f64 z x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.f64 x (*.f64 z x)) | |
| accuracy | 4.890121960443861 | (fma.f64 (/.f64 (*.f64 (neg.f64 (*.f64 z z)) x) (neg.f64 z)) y (-.f64 x (*.f64 z x))) | |
| accuracy | 9.318171050272447 | (*.f64 (neg.f64 (*.f64 z z)) x) | |
| accuracy | 17.529597306807194 | (/.f64 (*.f64 (neg.f64 (*.f64 z z)) x) (neg.f64 z)) | |
| accuracy | 0.0 | (-.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 y #s(literal 1 binary64)) x) | |
| accuracy | 3.18170250277881 | (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z) | |
| accuracy | 23.952379893251873 | #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)) | |
| accuracy | 0.0 | (*.f64 x z) | |
| accuracy | 0.0 | #s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 x z) y))) | |
| accuracy | 4.138373919401252 | (*.f64 (*.f64 x z) y) | |
| accuracy | 39.54960963670385 | #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 x z) y)) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 3.336036725635392 | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z)))) | |
| accuracy | 24.163532615135917 | #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z))) | |
| accuracy | 31.69658074365325 | #s(approx (* (+ -1 y) z) (neg.f64 z)) | |
| accuracy | 0.0 | (*.f64 z x) | |
| accuracy | 0.0 | #s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (fma.f64 (*.f64 z x) y (-.f64 x (*.f64 z x)))) | |
| accuracy | 0.00390625 | (-.f64 x (*.f64 z x)) | |
| accuracy | 4.890121960443861 | (fma.f64 (*.f64 z x) y (-.f64 x (*.f64 z x))) |
| 84.0ms | 256× | 0 | valid |
Compiled 212 to 45 computations (78.8% saved)
ival-mult: 40.0ms (60.9% of total)ival-add: 8.0ms (12.2% of total)ival-sub: 7.0ms (10.7% of total)ival-pow: 5.0ms (7.6% of total)ival-div: 3.0ms (4.6% of total)ival-neg: 2.0ms (3% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 z x) y (-.f64 x (*.f64 z x))) |
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (fma.f64 (*.f64 z x) y (-.f64 x (*.f64 z x)))) |
(*.f64 z x) |
(-.f64 x (*.f64 z x)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z)))) |
#s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z))) |
#s(approx (* (+ -1 y) z) (neg.f64 z)) |
(neg.f64 z) |
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 x z) y))) |
#s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 x z) y)) |
(*.f64 (*.f64 x z) y) |
(*.f64 x z) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(-.f64 y #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 (*.f64 z z)) x) (neg.f64 z)) |
(fma.f64 (/.f64 (*.f64 (neg.f64 (*.f64 z z)) x) (neg.f64 z)) y (-.f64 x (*.f64 z x))) |
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (fma.f64 (/.f64 (*.f64 (neg.f64 (*.f64 z z)) x) (neg.f64 z)) y (-.f64 x (*.f64 z x)))) |
(*.f64 (neg.f64 (*.f64 z z)) x) |
| Outputs |
|---|
(* x (- (+ 1 (* y z)) z)) |
(* x (- 1 (/ (* z (- 1 (pow y 3))) (+ 1 (+ y (pow y 2)))))) |
(* x z) |
(* x (- 1 z)) |
(* x (- 1 (* z (- 1 y)))) |
(* x (* y z)) |
(* x (* z (- y 1))) |
(* x (- y 1)) |
(* -1 (* x (pow z 2))) |
(* -1 (* x (- (* -1 (* y z)) (+ 1 (* -1 z))))) |
(* x (+ 1 (* -1 z))) |
(- x (* x z)) |
(- (+ x (* x (* y z))) (* x z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (- 1 z)) (* y (+ (* x z) (* x (* y (+ z (* -1 z))))))) |
(+ (* x (- 1 z)) (* y (+ (* x z) (* y (+ (* -1 (* x (* y (+ z (* -1 z))))) (* x (+ z (* -1 z)))))))) |
(- 1 z) |
(- (+ 1 (* y z)) z) |
(* -1 z) |
(+ (* -1 z) (* y z)) |
(* -1 (* x z)) |
(+ (* -1 (* x z)) (* x (* y z))) |
(* -1 x) |
(+ (* -1 x) (* x y)) |
-1 |
(- y 1) |
(* y (- (+ (* x z) (/ x y)) (/ (* x z) y))) |
(* y (+ (* x z) (/ (* x (+ 1 (* -1 z))) y))) |
(* y (+ (* x z) (+ (/ (* x (+ 1 (* -1 z))) y) (/ (* x (+ z (* -1 z))) (pow y 2))))) |
(* y (+ (* -1 (/ (* x (+ z (* -1 z))) (pow y 3))) (+ (* x z) (+ (/ (* x (+ 1 (* -1 z))) y) (/ (* x (+ z (* -1 z))) (pow y 2)))))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (+ z (* -1 (/ z y)))) |
(* y (+ (* -1 (/ (* x z) y)) (* x z))) |
(* x y) |
(* y (+ x (* -1 (/ x y)))) |
y |
(* y (- 1 (/ 1 y))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- x (* x z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (/ (* x (+ z (* -1 z))) y)) (* x (+ 1 (* -1 z)))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (- (+ (* -1 z) (* 2 z)) z)) y)) (* x (+ z (* -1 z)))) y)) (* x (+ 1 (* -1 z)))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (- (/ 1 y) 1))) |
x |
(+ x (* z (- (* x y) x))) |
(+ x (* x (* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2)))))))) |
(+ x (* -1 (* x z))) |
(+ x (* x (* z (- y 1)))) |
1 |
(+ 1 (* z (- y 1))) |
(* z (- y 1)) |
(* z (- (* x y) x)) |
(* z (- (+ (* x y) (/ x z)) x)) |
(* x (* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2))))))) |
(* z (+ (* x (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2)))))) (/ x z))) |
(* z (- (/ x z) x)) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (- (+ y (/ 1 z)) 1)) |
(* -1 (* z (- (* -1 (* x y)) (* -1 x)))) |
(* -1 (* z (- (+ (* -1 (* x y)) (* -1 (/ x z))) (* -1 x)))) |
(* -1 (/ (* x (* z (- 1 (pow y 3)))) (+ 1 (+ y (pow y 2))))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ (* x (- 1 (pow y 3))) (+ 1 (+ y (pow y 2))))))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 x)))) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (- 1 y))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | inf | ((+ (* (* z x) y) (- x (* z x))) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (* z x) (- x (* z x)) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (+ -1 y) z) (neg z) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (* (* x z) y) (* x z) (* x (- 1 (* (- 1 y) z))) (* (* (- y 1) x) z) (* (- y 1) x) (- y 1) (/ (* (neg (* z z)) x) (neg z)) (+ (* (/ (* (neg (* z z)) x) (neg z)) y) (- x (* z x))) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (* (neg (* z z)) x)) |
| 7.0ms | x | @ | 0 | ((+ (* (* z x) y) (- x (* z x))) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (* z x) (- x (* z x)) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (+ -1 y) z) (neg z) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (* (* x z) y) (* x z) (* x (- 1 (* (- 1 y) z))) (* (* (- y 1) x) z) (* (- y 1) x) (- y 1) (/ (* (neg (* z z)) x) (neg z)) (+ (* (/ (* (neg (* z z)) x) (neg z)) y) (- x (* z x))) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (* (neg (* z z)) x)) |
| 5.0ms | z | @ | inf | ((+ (* (* z x) y) (- x (* z x))) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (* z x) (- x (* z x)) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (+ -1 y) z) (neg z) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (* (* x z) y) (* x z) (* x (- 1 (* (- 1 y) z))) (* (* (- y 1) x) z) (* (- y 1) x) (- y 1) (/ (* (neg (* z z)) x) (neg z)) (+ (* (/ (* (neg (* z z)) x) (neg z)) y) (- x (* z x))) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (* (neg (* z z)) x)) |
| 4.0ms | x | @ | -inf | ((+ (* (* z x) y) (- x (* z x))) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (* z x) (- x (* z x)) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (+ -1 y) z) (neg z) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (* (* x z) y) (* x z) (* x (- 1 (* (- 1 y) z))) (* (* (- y 1) x) z) (* (- y 1) x) (- y 1) (/ (* (neg (* z z)) x) (neg z)) (+ (* (/ (* (neg (* z z)) x) (neg z)) y) (- x (* z x))) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (* (neg (* z z)) x)) |
| 3.0ms | z | @ | -inf | ((+ (* (* z x) y) (- x (* z x))) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (* z x) (- x (* z x)) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (+ -1 y) z) (neg z) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (* (* x z) y) (* x z) (* x (- 1 (* (- 1 y) z))) (* (* (- y 1) x) z) (* (- y 1) x) (- y 1) (/ (* (neg (* z z)) x) (neg z)) (+ (* (/ (* (neg (* z z)) x) (neg z)) y) (- x (* z x))) (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (* (neg (* z z)) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 209 | 635 |
| 1 | 735 | 608 |
| 2 | 2752 | 599 |
| 0 | 8616 | 572 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (- (+ 1 (* y z)) z)) |
(* x (- 1 (/ (* z (- 1 (pow y 3))) (+ 1 (+ y (pow y 2)))))) |
(* x z) |
(* x (- 1 z)) |
(* x (- 1 (* z (- 1 y)))) |
(* x (* y z)) |
(* x (* z (- y 1))) |
(* x (- y 1)) |
(* -1 (* x (pow z 2))) |
(* -1 (* x (- (* -1 (* y z)) (+ 1 (* -1 z))))) |
(* x (+ 1 (* -1 z))) |
(- x (* x z)) |
(- (+ x (* x (* y z))) (* x z)) |
(+ (* x (* y z)) (* x (- 1 z))) |
(+ (* x (- 1 z)) (* y (+ (* x z) (* x (* y (+ z (* -1 z))))))) |
(+ (* x (- 1 z)) (* y (+ (* x z) (* y (+ (* -1 (* x (* y (+ z (* -1 z))))) (* x (+ z (* -1 z)))))))) |
(- 1 z) |
(- (+ 1 (* y z)) z) |
(* -1 z) |
(+ (* -1 z) (* y z)) |
(* -1 (* x z)) |
(+ (* -1 (* x z)) (* x (* y z))) |
(* -1 x) |
(+ (* -1 x) (* x y)) |
-1 |
(- y 1) |
(* y (- (+ (* x z) (/ x y)) (/ (* x z) y))) |
(* y (+ (* x z) (/ (* x (+ 1 (* -1 z))) y))) |
(* y (+ (* x z) (+ (/ (* x (+ 1 (* -1 z))) y) (/ (* x (+ z (* -1 z))) (pow y 2))))) |
(* y (+ (* -1 (/ (* x (+ z (* -1 z))) (pow y 3))) (+ (* x z) (+ (/ (* x (+ 1 (* -1 z))) y) (/ (* x (+ z (* -1 z))) (pow y 2)))))) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(* y z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(* y (+ z (* -1 (/ z y)))) |
(* y (+ (* -1 (/ (* x z) y)) (* x z))) |
(* x y) |
(* y (+ x (* -1 (/ x y)))) |
y |
(* y (- 1 (/ 1 y))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- x (* x z)) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (/ (* x (+ z (* -1 z))) y)) (* x (+ 1 (* -1 z)))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (- (+ (* -1 z) (* 2 z)) z)) y)) (* x (+ z (* -1 z)))) y)) (* x (+ 1 (* -1 z)))) y))))) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (- (/ 1 y) 1))) |
x |
(+ x (* z (- (* x y) x))) |
(+ x (* x (* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2)))))))) |
(+ x (* -1 (* x z))) |
(+ x (* x (* z (- y 1)))) |
1 |
(+ 1 (* z (- y 1))) |
(* z (- y 1)) |
(* z (- (* x y) x)) |
(* z (- (+ (* x y) (/ x z)) x)) |
(* x (* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2))))))) |
(* z (+ (* x (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2)))))) (/ x z))) |
(* z (- (/ x z) x)) |
(* z (+ (* x (- y 1)) (/ x z))) |
(* z (- (+ y (/ 1 z)) 1)) |
(* -1 (* z (- (* -1 (* x y)) (* -1 x)))) |
(* -1 (* z (- (+ (* -1 (* x y)) (* -1 (/ x z))) (* -1 x)))) |
(* -1 (/ (* x (* z (- 1 (pow y 3)))) (+ 1 (+ y (pow y 2))))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ (* x (- 1 (pow y 3))) (+ 1 (+ y (pow y 2))))))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 x)))) |
(* -1 (* x (* z (- 1 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(* -1 (* z (- 1 y))) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
| Outputs |
|---|
(* x (- (+ 1 (* y z)) z)) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* x (- 1 (/ (* z (- 1 (pow y 3))) (+ 1 (+ y (pow y 2)))))) |
(fma.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) x) |
(* x z) |
(*.f64 x z) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 (* z (- 1 y)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* x (* y z)) |
(*.f64 (*.f64 y x) z) |
(* x (* z (- y 1))) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z) |
(* x (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* x (pow z 2))) |
(*.f64 (*.f64 (neg.f64 z) z) x) |
(* -1 (* x (- (* -1 (* y z)) (+ 1 (* -1 z))))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))) |
(* x (+ 1 (* -1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(- x (* x z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(- (+ x (* x (* y z))) (* x z)) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(+ (* x (* y z)) (* x (- 1 z))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(+ (* x (- 1 z)) (* y (+ (* x z) (* x (* y (+ z (* -1 z))))))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(+ (* x (- 1 z)) (* y (+ (* x z) (* y (+ (* -1 (* x (* y (+ z (* -1 z))))) (* x (+ z (* -1 z)))))))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(- 1 z) |
(-.f64 #s(literal 1 binary64) z) |
(- (+ 1 (* y z)) z) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* y z)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(+ (* -1 (* x z)) (* x (* y z))) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* x y)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(* y (- (+ (* x z) (/ x y)) (/ (* x z) y))) |
(*.f64 (*.f64 y x) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)) |
(* y (+ (* x z) (/ (* x (+ 1 (* -1 z))) y))) |
(*.f64 (*.f64 y x) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)) |
(* y (+ (* x z) (+ (/ (* x (+ 1 (* -1 z))) y) (/ (* x (+ z (* -1 z))) (pow y 2))))) |
(*.f64 (*.f64 y x) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)) |
(* y (+ (* -1 (/ (* x (+ z (* -1 z))) (pow y 3))) (+ (* x z) (+ (/ (* x (+ 1 (* -1 z))) y) (/ (* x (+ z (* -1 z))) (pow y 2)))))) |
(*.f64 (*.f64 y x) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)) |
(* y (+ (* x z) (/ (* x (- 1 z)) y))) |
(*.f64 (*.f64 y x) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)) |
(* y z) |
(*.f64 y z) |
(* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z) y) |
(* y (+ z (* -1 (/ z y)))) |
(*.f64 (-.f64 z (/.f64 z y)) y) |
(* y (+ (* -1 (/ (* x z) y)) (* x z))) |
(*.f64 (*.f64 x (-.f64 z (/.f64 z y))) y) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (/ x y)))) |
(*.f64 (-.f64 x (/.f64 x y)) y) |
y |
(* y (- 1 (/ 1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- x (* x z)) y))))) |
(*.f64 (*.f64 y x) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y))))) |
(*.f64 (*.f64 y x) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (/ (* x (+ z (* -1 z))) y)) (* x (+ 1 (* -1 z)))) y))))) |
(*.f64 (*.f64 y x) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (- (+ (* -1 z) (* 2 z)) z)) y)) (* x (+ z (* -1 z)))) y)) (* x (+ 1 (* -1 z)))) y))))) |
(*.f64 (*.f64 y x) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)) |
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (*.f64 y x) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)) |
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) y) z)) |
(* -1 (* y (+ (* -1 z) (/ z y)))) |
(*.f64 (-.f64 z (/.f64 z y)) y) |
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y)))) |
(*.f64 (*.f64 x (-.f64 z (/.f64 z y))) y) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(*.f64 (-.f64 x (/.f64 x y)) y) |
(* -1 (* y (- (/ 1 y) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
x |
(+ x (* z (- (* x y) x))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(+ x (* x (* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2)))))))) |
(fma.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) (*.f64 x z) x) |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ x (* x (* z (- y 1)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* z (- y 1))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(* z (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) z) |
(* z (- (* x y) x)) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z) |
(* z (- (+ (* x y) (/ x z)) x)) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* x (* z (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2))))))) |
(*.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) (*.f64 x z)) |
(* z (+ (* x (- (/ (pow y 3) (+ 1 (+ y (pow y 2)))) (/ 1 (+ 1 (+ y (pow y 2)))))) (/ x z))) |
(fma.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) (*.f64 x z) x) |
(* z (- (/ x z) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* z (+ (* x (- y 1)) (/ x z))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* z (- (+ y (/ 1 z)) 1)) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(* -1 (* z (- (* -1 (* x y)) (* -1 x)))) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z) |
(* -1 (* z (- (+ (* -1 (* x y)) (* -1 (/ x z))) (* -1 x)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* -1 (/ (* x (* z (- 1 (pow y 3)))) (+ 1 (+ y (pow y 2))))) |
(*.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ (* x (- 1 (pow y 3))) (+ 1 (+ y (pow y 2))))))) |
(fma.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) x) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* x (* z (- 1 y)))) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x) |
(* -1 (* z (- 1 y))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) z) |
(* z (+ (* -1 (- 1 y)) (/ 1 z))) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 261 |
| 0 | 68 | 239 |
| 1 | 289 | 203 |
| 2 | 2358 | 203 |
| 0 | 8393 | 203 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 z x) y (-.f64 x (*.f64 z x))) |
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (fma.f64 (*.f64 z x) y (-.f64 x (*.f64 z x)))) |
(*.f64 z x) |
(-.f64 x (*.f64 z x)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z)))) |
#s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z))) |
#s(approx (* (+ -1 y) z) (neg.f64 z)) |
(neg.f64 z) |
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 x z) y))) |
#s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 x z) y)) |
(*.f64 (*.f64 x z) y) |
(*.f64 x z) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(-.f64 y #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 (*.f64 z z)) x) (neg.f64 z)) |
(fma.f64 (/.f64 (*.f64 (neg.f64 (*.f64 z z)) x) (neg.f64 z)) y (-.f64 x (*.f64 z x))) |
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (fma.f64 (/.f64 (*.f64 (neg.f64 (*.f64 z z)) x) (neg.f64 z)) y (-.f64 x (*.f64 z x)))) |
(*.f64 (neg.f64 (*.f64 z z)) x) |
| Outputs |
|---|
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(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) z (*.f64 (fma.f64 (*.f64 x z) (fma.f64 x z x) (*.f64 x x)) (*.f64 y (*.f64 (*.f64 z z) x)))) (*.f64 (fma.f64 (*.f64 x z) (fma.f64 x z x) (*.f64 x x)) z)) |
(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) z (*.f64 (fma.f64 (*.f64 x z) (fma.f64 x z x) (*.f64 x x)) (neg.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) x) y)))) (*.f64 (fma.f64 (*.f64 x z) (fma.f64 x z x) (*.f64 x x)) z)) |
(/.f64 (-.f64 (pow.f64 (fma.f64 y (*.f64 x z) x) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (+.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x (*.f64 x z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64))) (-.f64 (-.f64 x (*.f64 x z)) (*.f64 y (*.f64 x z)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 y (*.f64 x z) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y (*.f64 x z) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64)) (pow.f64 (-.f64 x (*.f64 x z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 y (*.f64 x z)) (-.f64 x (*.f64 x z))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 x z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 x z)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 x z)) (-.f64 x (*.f64 x z))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 x z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 x (*.f64 x z)) (-.f64 (-.f64 x (*.f64 x z)) (*.f64 y (*.f64 x z))) (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) x) y) (fma.f64 x z x) (*.f64 (neg.f64 z) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))) (*.f64 (neg.f64 z) (fma.f64 x z x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) x) y) (fma.f64 (*.f64 x z) (fma.f64 x z x) (*.f64 x x)) (*.f64 (neg.f64 z) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))))) (*.f64 (neg.f64 z) (fma.f64 (*.f64 x z) (fma.f64 x z x) (*.f64 x x)))) |
(/.f64 (fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (neg.f64 z) (*.f64 (fma.f64 x z x) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) x) y))) (*.f64 (fma.f64 x z x) (neg.f64 z))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (neg.f64 z) (*.f64 (fma.f64 (*.f64 x z) (fma.f64 x z x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (neg.f64 z) z) x) y))) (*.f64 (fma.f64 (*.f64 x z) (fma.f64 x z x) (*.f64 x x)) (neg.f64 z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64)) (pow.f64 (-.f64 x (*.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 y (*.f64 x z)) (-.f64 x (*.f64 x z)))) |
(/.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 x z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 x (*.f64 x z)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 x z)) (-.f64 x (*.f64 x z)))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 x z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 3 binary64))) (fma.f64 (-.f64 x (*.f64 x z)) (-.f64 (-.f64 x (*.f64 x z)) (*.f64 y (*.f64 x z))) (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 y (*.f64 (neg.f64 z) z)) (/.f64 x (neg.f64 z)) (-.f64 x (*.f64 x z))) |
(fma.f64 (+.f64 (neg.f64 z) #s(literal 1 binary64)) x (*.f64 y (*.f64 x z))) |
(fma.f64 (*.f64 y z) x (-.f64 x (*.f64 x z))) |
(fma.f64 (*.f64 y x) z (-.f64 x (*.f64 x z))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 z) z) x) (/.f64 (neg.f64 y) z) (-.f64 x (*.f64 x z))) |
(fma.f64 (*.f64 (neg.f64 z) z) (*.f64 (/.f64 x (neg.f64 z)) y) (-.f64 x (*.f64 x z))) |
(fma.f64 y (*.f64 x z) (-.f64 x (*.f64 x z))) |
(fma.f64 (*.f64 x z) y (-.f64 x (*.f64 x z))) |
(fma.f64 x (*.f64 y z) (-.f64 x (*.f64 x z))) |
(fma.f64 z (*.f64 y x) (-.f64 x (*.f64 x z))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64)) (-.f64 (*.f64 y (*.f64 x z)) (-.f64 x (*.f64 x z)))) (/.f64 (pow.f64 (-.f64 x (*.f64 x z)) #s(literal 2 binary64)) (-.f64 (*.f64 y (*.f64 x z)) (-.f64 x (*.f64 x z))))) |
(-.f64 (fma.f64 y (*.f64 x z) x) (*.f64 x z)) |
(-.f64 (-.f64 x (*.f64 x z)) (*.f64 (*.f64 (neg.f64 z) x) y)) |
(-.f64 (-.f64 x (*.f64 x z)) (*.f64 (neg.f64 y) (*.f64 x z))) |
(-.f64 (-.f64 x (*.f64 x z)) (*.f64 (neg.f64 x) (*.f64 y z))) |
(-.f64 (-.f64 x (*.f64 x z)) (*.f64 (neg.f64 z) (*.f64 y x))) |
(-.f64 x (-.f64 (*.f64 x z) (*.f64 y (*.f64 x z)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 3 binary64)) (fma.f64 (-.f64 x (*.f64 x z)) (-.f64 (-.f64 x (*.f64 x z)) (*.f64 y (*.f64 x z))) (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 x (*.f64 x z)) #s(literal 3 binary64)) (fma.f64 (-.f64 x (*.f64 x z)) (-.f64 (-.f64 x (*.f64 x z)) (*.f64 y (*.f64 x z))) (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64))))) |
(+.f64 (fma.f64 y (*.f64 x z) x) (*.f64 (neg.f64 x) z)) |
(+.f64 (fma.f64 y (*.f64 x z) x) (*.f64 (neg.f64 z) x)) |
(+.f64 (*.f64 y (*.f64 x z)) (-.f64 x (*.f64 x z))) |
(+.f64 (-.f64 x (*.f64 x z)) (*.f64 y (*.f64 x z))) |
(+.f64 x (fma.f64 (neg.f64 z) x (*.f64 y (*.f64 x z)))) |
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (fma.f64 y (*.f64 x z) (-.f64 x (*.f64 x z)))) |
(*.f64 (*.f64 (neg.f64 z) x) z) |
(*.f64 (*.f64 (neg.f64 z) z) x) |
(*.f64 (*.f64 z z) (neg.f64 x)) |
(*.f64 (neg.f64 z) (*.f64 x z)) |
(*.f64 (*.f64 x z) (neg.f64 z)) |
(*.f64 x (*.f64 (neg.f64 z) z)) |
(*.f64 z (*.f64 (neg.f64 z) x)) |
(neg.f64 (*.f64 (*.f64 z z) x)) |
Compiled 15 262 to 1 308 computations (91.4% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 361 | 4 | 365 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 4 | 5 |
| Total | 365 | 11 | 376 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 57.4% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z))) |
| ✓ | 33.0% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
| ✓ | 32.2% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z)))) |
| 39.7% | (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) | |
| ✓ | 91.9% | #s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (fma.f64 (*.f64 z x) y (-.f64 x (*.f64 z x)))) |
| 29.9% | #s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 z z) x) y) z))) | |
| 28.0% | #s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 y (*.f64 (neg.f64 z) z)) (/.f64 x (neg.f64 z))))) | |
| 37.0% | #s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 y x) z))) | |
| ✓ | 38.9% | #s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 x z) y))) |
| ✓ | 94.8% | #s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)) |
| ✓ | 69.1% | #s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) |
Compiled 867 to 337 computations (61.1% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z)))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 x z) y))) |
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 y x) z))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)) |
#s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) y)) z))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (fma.f64 (*.f64 z x) y (-.f64 x (*.f64 z x)))) |
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (fma.f64 (*.f64 (fma.f64 #s(literal 0 binary64) y z) x) y (-.f64 x (*.f64 z x)))) |
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (/.f64 (*.f64 (*.f64 (*.f64 z z) x) y) z))) |
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 y (*.f64 (neg.f64 z) z)) (/.f64 x (neg.f64 z))))) |
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) (fma.f64 (/.f64 (*.f64 (neg.f64 (*.f64 z z)) x) (neg.f64 z)) y (-.f64 x (*.f64 z x)))) |
(*.f64 x (fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) z) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y)))))) |
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) #s(approx (+ (+ (* y y) y) 1) (*.f64 y y))))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) |
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)) |
7 calls:
| 30.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 9.0ms | y |
| 7.0ms | z |
| 7.0ms | x |
| 7.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 2 | (-.f64 #s(literal 1 binary64) y) |
| 99.9% | 3 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 99.9% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 99.9% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 98.1% | 2 | x |
| 96.7% | 2 | y |
| 98.8% | 2 | z |
Compiled 27 to 35 computations (-29.6% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z)))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 x z) y))) |
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 y x) z))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z))) |
| Outputs |
|---|
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)) |
#s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)) |
7 calls:
| 23.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 3.0ms | z |
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.2% | 3 | (-.f64 #s(literal 1 binary64) y) |
| 87.2% | 3 | y |
| 75.1% | 3 | x |
| 93.7% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 98.0% | 3 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 98.0% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 89.6% | 3 | z |
Compiled 27 to 35 computations (-29.6% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z)))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 x z) y))) |
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 y x) z))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))) |
| Outputs |
|---|
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 y x) z))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
6 calls:
| 6.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 3.0ms | y |
| 3.0ms | z |
| 3.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 2.0ms | (-.f64 #s(literal 1 binary64) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.2% | 3 | (-.f64 #s(literal 1 binary64) y) |
| 87.2% | 3 | y |
| 69.1% | 1 | z |
| 81.9% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 80.3% | 3 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 80.3% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
Compiled 26 to 32 computations (-23.1% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z)))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
#s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 x z) y))) |
| Outputs |
|---|
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
#s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) |
2 calls:
| 2.0ms | y |
| 2.0ms | (-.f64 #s(literal 1 binary64) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.2% | 3 | (-.f64 #s(literal 1 binary64) y) |
| 86.2% | 3 | y |
Compiled 4 to 8 computations (-100% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z)))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) |
| Outputs |
|---|
#s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) |
6 calls:
| 4.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 2.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.1% | 1 | x |
| 69.1% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 69.1% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 69.1% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 69.1% | 1 | (-.f64 #s(literal 1 binary64) y) |
| 69.1% | 1 | y |
Compiled 26 to 32 computations (-23.1% saved)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z)))) |
| Outputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z)))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z)))) |
7 calls:
| 4.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 1.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 1.0ms | y |
| 1.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.2% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 59.7% | 3 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 42.8% | 3 | (-.f64 #s(literal 1 binary64) y) |
| 68.2% | 3 | z |
| 41.8% | 2 | x |
| 68.2% | 3 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 44.8% | 3 | y |
Compiled 27 to 35 computations (-29.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
7 calls:
| 1.0ms | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.7% | 1 | (-.f64 #s(literal 1 binary64) y) |
| 39.7% | 1 | x |
| 39.7% | 1 | y |
| 39.7% | 1 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) |
| 39.7% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 39.7% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) |
| 39.7% | 1 | z |
Compiled 27 to 35 computations (-29.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1.451726560613586e-7 | 594408139597.3489 |
| 10.0ms | 160× | 0 | valid |
Compiled 362 to 294 computations (18.8% saved)
ival-sub: 2.0ms (52.7% of total)ival-mult: 2.0ms (52.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 558294830.0794517 | 1.2363707675698996e+24 |
| 0.0ms | -8019376472415788000.0 | 0.999999854827344 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 3.319706513156829e+88 | 1.9609386015826526e+106 |
| 59.0ms | -6.445000688638818e+89 | -8.991637215279263e+85 |
| 62.0ms | 288× | 0 | valid |
Compiled 760 to 566 computations (25.5% saved)
ival-mult: 4.0ms (58.4% of total)ival-sub: 3.0ms (43.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.319706513156829e+88 | 1.9609386015826526e+106 |
| 1.0ms | -6.445000688638818e+89 | -8.991637215279263e+85 |
Compiled 552 to 446 computations (19.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 434711219940320.6 | 4.543124976402621e+20 |
| 11.0ms | -558294829.0794505 | -66251.51030568752 |
| 16.0ms | 272× | 0 | valid |
Compiled 505 to 456 computations (9.7% saved)
ival-sub: 3.0ms (46.3% of total)ival-mult: 3.0ms (46.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 272 |
| 1 | 138 | 270 |
| 2 | 272 | 268 |
| 3 | 694 | 268 |
| 4 | 2102 | 268 |
| 5 | 5584 | 268 |
| 6 | 7278 | 268 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 z #s(literal 580000000000 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal -5000000000000000000 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 1000000000 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)))) |
(if (<=.f64 y #s(literal -18999999999999998345494232281464727106699175331861319439983092748517895475265033438494720 binary64)) #s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 y x) z))) (if (<=.f64 y #s(literal 1349999999999999971715283987748754631263657232169187180966406116373334667807881493835939840000 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)))) |
(if (<=.f64 y #s(literal -18999999999999998345494232281464727106699175331861319439983092748517895475265033438494720 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (if (<=.f64 y #s(literal 1349999999999999971715283987748754631263657232169187180966406116373334667807881493835939840000 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) |
(if (<=.f64 z #s(literal -68000 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z)))) (if (<=.f64 z #s(literal 440000000000000 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z)))))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
| Outputs |
|---|
(if (<=.f64 z #s(literal 580000000000 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z))) |
(if (<=.f64 z #s(literal 580000000000 binary64)) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal -5000000000000000000 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 1000000000 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)))) |
(if (or (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal -5000000000000000000 binary64)) (not (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 1000000000 binary64)))) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (-.f64 x (*.f64 z x)))) |
(if (<=.f64 y #s(literal -18999999999999998345494232281464727106699175331861319439983092748517895475265033438494720 binary64)) #s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 y x) z))) (if (<=.f64 y #s(literal 1349999999999999971715283987748754631263657232169187180966406116373334667807881493835939840000 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)))) |
(if (<=.f64 y #s(literal -18999999999999998345494232281464727106699175331861319439983092748517895475265033438494720 binary64)) #s(approx (* x (- 1 (/ (* (- 1 (pow y 3)) z) (+ (+ (* y y) y) 1)))) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 y x) z))) (if (<=.f64 y #s(literal 1349999999999999971715283987748754631263657232169187180966406116373334667807881493835939840000 binary64)) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (-.f64 x (*.f64 z x))) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 z x) y)))) |
(if (<=.f64 y #s(literal -18999999999999998345494232281464727106699175331861319439983092748517895475265033438494720 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (if (<=.f64 y #s(literal 1349999999999999971715283987748754631263657232169187180966406116373334667807881493835939840000 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)))) |
(if (or (<=.f64 y #s(literal -18999999999999998345494232281464727106699175331861319439983092748517895475265033438494720 binary64)) (not (<=.f64 y #s(literal 1349999999999999971715283987748754631263657232169187180966406116373334667807881493835939840000 binary64)))) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (*.f64 (*.f64 z x) y)) #s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (-.f64 x (*.f64 z x)))) |
#s(approx (* x (- 1 (* (- 1 y) z))) (-.f64 x (*.f64 z x))) |
#s(approx (+ (* (* (+ (* 0 y) z) x) y) (- x (* z x))) (-.f64 x (*.f64 z x))) |
(if (<=.f64 z #s(literal -68000 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z)))) (if (<=.f64 z #s(literal 440000000000000 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z)))))) |
(if (or (<=.f64 z #s(literal -68000 binary64)) (not (<=.f64 z #s(literal 440000000000000 binary64)))) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z)))) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 209 | 635 |
| 1 | 735 | 608 |
| 2 | 2752 | 599 |
| 0 | 8616 | 572 |
| 0 | 51 | 261 |
| 0 | 68 | 239 |
| 1 | 289 | 203 |
| 2 | 2358 | 203 |
| 0 | 8393 | 203 |
| 0 | 74 | 193 |
| 1 | 241 | 192 |
| 2 | 651 | 192 |
| 3 | 1785 | 192 |
| 4 | 4358 | 192 |
| 0 | 8315 | 179 |
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 43 | 24 |
| 2 | 287 | 24 |
| 3 | 2739 | 24 |
| 0 | 9002 | 22 |
| 0 | 447 | 1667 |
| 1 | 1561 | 1522 |
| 2 | 6588 | 1512 |
| 0 | 8261 | 1430 |
| 0 | 452 | 1704 |
| 1 | 1577 | 1556 |
| 2 | 6402 | 1545 |
| 0 | 8074 | 1461 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 533 to 274 computations (48.6% saved)
(negabs x)
Compiled 988 to 322 computations (67.4% saved)
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