
Time bar (total: 7.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 6 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 7 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 8 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 11 |
| 87.9% | 87.8% | 12.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 13 to 11 computations (15.4% saved)
| 820.0ms | 8 256× | 0 | valid |
ival-div: 196.0ms (50.4% of total)ival-mult: 120.0ms (30.8% of total)ival-add: 58.0ms (14.9% of total)ival-true: 6.0ms (1.5% of total)exact: 5.0ms (1.3% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 34 | 0 | - | 0 | - | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 11 | 0 | - | 0 | - | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 0 | 0 | - | 0 | - | (*.f64 z z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) | n*o | 34 | 0 |
/.f64 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) | n/o | 11 | 0 |
| ↳ | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) | overflow | 64 | |
| ↳ | (+.f64 #s(literal 1 binary64) (*.f64 z z)) | overflow | 80 | |
| ↳ | (*.f64 z z) | overflow | 80 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 32 | 0 |
| - | 13 | 211 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 32 | 0 | 0 |
| - | 13 | 0 | 211 |
| number | freq |
|---|---|
| 0 | 211 |
| 1 | 45 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 67.0ms | 512× | 0 | valid |
Compiled 81 to 31 computations (61.7% saved)
ival-mult: 15.0ms (58.8% of total)ival-div: 7.0ms (27.4% of total)ival-add: 2.0ms (7.8% 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 | 34 | 102 |
| 1 | 129 | 99 |
| 2 | 341 | 99 |
| 3 | 1169 | 99 |
| 4 | 2790 | 99 |
| 5 | 4332 | 99 |
| 6 | 5220 | 99 |
| 7 | 5465 | 99 |
| 8 | 5576 | 99 |
| 9 | 5589 | 99 |
| 10 | 6090 | 99 |
| 11 | 6394 | 99 |
| 12 | 6429 | 99 |
| 13 | 6445 | 99 |
| 14 | 6449 | 99 |
| 15 | 6449 | 99 |
| 16 | 6449 | 99 |
| 17 | 6449 | 99 |
| 18 | 6509 | 99 |
| 19 | 6533 | 99 |
| 20 | 6533 | 99 |
| 21 | 6709 | 99 |
| 22 | 7604 | 99 |
| 23 | 7630 | 99 |
| 24 | 7634 | 99 |
| 25 | 7634 | 99 |
| 0 | 9 | 11 |
| 0 | 14 | 11 |
| 1 | 28 | 11 |
| 2 | 46 | 11 |
| 3 | 101 | 11 |
| 4 | 153 | 11 |
| 5 | 202 | 11 |
| 0 | 202 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)) |
(abs z)
(negabs y)
(negabs x)
(sort x y)
Compiled 11 to 9 computations (18.2% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 85.4% | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
Compiled 11 to 9 computations (18.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) | |
| cost-diff | 1 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 33 |
| 0 | 14 | 33 |
| 1 | 28 | 33 |
| 2 | 46 | 33 |
| 3 | 101 | 33 |
| 4 | 153 | 33 |
| 5 | 202 | 33 |
| 0 | 202 | 30 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
y |
(+.f64 #s(literal 1 binary64) (*.f64 z z)) |
(*.f64 z z) |
z |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y) |
y |
(+.f64 #s(literal 1 binary64) (*.f64 z z)) |
(fma.f64 z z #s(literal 1 binary64)) |
(*.f64 z z) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) | |
| accuracy | 0.0 | (*.f64 z z) | |
| accuracy | 2.1370106923187304 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) | |
| accuracy | 7.1564661041975635 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 18.0ms | 256× | 0 | valid |
Compiled 35 to 11 computations (68.6% saved)
ival-div: 6.0ms (56.4% of total)ival-mult: 3.0ms (28.2% of total)ival-add: 1.0ms (9.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 z z)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) x) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 z z) |
| Outputs |
|---|
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 x) |
(* y (+ 1 (pow z 2))) |
1 |
(+ 1 (pow z 2)) |
(/ 1 (* x y)) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
y |
(+ y (* y (pow z 2))) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | -inf | ((+ 1 (* z z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* z z)) |
| 2.0ms | x | @ | 0 | ((+ 1 (* z z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* z z)) |
| 2.0ms | y | @ | inf | ((+ 1 (* z z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* z z)) |
| 1.0ms | x | @ | -inf | ((+ 1 (* z z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* z z)) |
| 1.0ms | y | @ | 0 | ((+ 1 (* z z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* z z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 227 |
| 1 | 135 | 225 |
| 2 | 389 | 220 |
| 3 | 1484 | 203 |
| 4 | 4067 | 181 |
| 5 | 7742 | 181 |
| 0 | 8270 | 171 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 x) |
(* y (+ 1 (pow z 2))) |
1 |
(+ 1 (pow z 2)) |
(/ 1 (* x y)) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
y |
(+ y (* y (pow z 2))) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
| Outputs |
|---|
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* y (+ 1 (pow z 2))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow z 2)) |
(fma.f64 z z #s(literal 1 binary64)) |
(/ 1 (* x y)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) y) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64)))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) |
y |
(+ y (* y (pow z 2))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(fma.f64 z z #s(literal 1 binary64)) |
(/ 1 (* x (* y (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x)) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y x)) (fma.f64 z z #s(literal -1 binary64))) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y x)) (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 z z)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y x)) (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)))) z) z) |
(* y (pow z 2)) |
(*.f64 (*.f64 z z) y) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 0 | 14 | 29 |
| 1 | 58 | 29 |
| 2 | 360 | 29 |
| 3 | 2797 | 29 |
| 0 | 9201 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 z z)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) x) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 z z) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (+.f64 (pow.f64 z #s(literal 18 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 z (+.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) (-.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) |
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(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y) (fma.f64 (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) (-.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 y)) (fma.f64 z z #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64))) (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) y)) |
(*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 y (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64)))) |
(*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 y (fma.f64 z z #s(literal 1 binary64))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 (neg.f64 y))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y) |
(*.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y) (*.f64 y y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (*.f64 y z) (neg.f64 z))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (-.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y z) (neg.f64 z))) (neg.f64 (*.f64 (*.f64 y z) (neg.f64 z)))) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 (*.f64 y z) (neg.f64 z))))))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 z z #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 y (*.f64 z z)) y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) y)) (neg.f64 (fma.f64 z z #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) y)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) y)) (neg.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)))) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 z z #s(literal -1 binary64))) |
(/.f64 (*.f64 y (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 (*.f64 y (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 y (*.f64 z z)) y)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y)) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)) (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)))) (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y) (*.f64 y y))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y) (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) y) (fma.f64 z z #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) y) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) y) (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) (-.f64 #s(literal 1 binary64) (*.f64 z z))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y) (*.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y) (*.f64 y y)))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y) (*.f64 y y))) |
(/.f64 (neg.f64 y) (neg.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y) (*.f64 y y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) |
(/.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 y (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y) (*.f64 y y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64)))) |
(fma.f64 (*.f64 y z) z y) |
(fma.f64 (*.f64 y (*.f64 z z)) #s(literal 1 binary64) y) |
(fma.f64 y (*.f64 z z) y) |
(fma.f64 y #s(literal 1 binary64) (*.f64 y (*.f64 z z))) |
(fma.f64 (*.f64 z z) y y) |
(fma.f64 z (*.f64 y z) y) |
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)) y) |
(fma.f64 #s(literal 1 binary64) y (*.f64 y (*.f64 z z))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) (-.f64 (*.f64 y (*.f64 z z)) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y (*.f64 z z)) y))) |
(-.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) (/.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 y z) (neg.f64 z)) #s(literal -1 binary64)) (neg.f64 y)) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 y y) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64)))) |
(-.f64 y (/.f64 (*.f64 y (*.f64 z z)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal -1 binary64)))) |
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 (*.f64 y z) (neg.f64 z)))) |
(+.f64 (*.f64 y (*.f64 z z)) y) |
(+.f64 y (*.f64 y (*.f64 z z))) |
(*.f64 (*.f64 z z) #s(literal 1 binary64)) |
(*.f64 z z) |
(*.f64 #s(literal 1 binary64) (*.f64 z z)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 z)) |
(pow.f64 (*.f64 z z) #s(literal 1 binary64)) |
(pow.f64 z #s(literal 2 binary64)) |
(exp.f64 (*.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) |
Compiled 10 812 to 1 541 computations (85.7% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 439 | 13 | 452 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 440 | 13 | 453 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 85.2% | (/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| ▶ | 89.8% | (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) |
| 88.9% | (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) | |
| ▶ | 88.8% | (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) |
| 50.4% | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y))) | |
| 85.4% | (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x)) | |
| ▶ | 85.2% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) |
| 88.7% | (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))) | |
| 85.2% | (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) | |
| 89.5% | (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) | |
| 47.7% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) | |
| ▶ | 51.4% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
| 50.4% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
Compiled 362 to 288 computations (20.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) | |
| cost-diff | 1 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) | |
| cost-diff | 2 | (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (fma.f64 (*.f64 y z) z y) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) | |
| cost-diff | 0 | (fma.f64 z z #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 y (fma.f64 z z #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) x) y) | |
| cost-diff | 0 | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) | |
| cost-diff | 0 | (fma.f64 z z #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) | |
| cost-diff | 1 | (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 161 |
| 0 | 52 | 156 |
| 1 | 94 | 156 |
| 2 | 173 | 152 |
| 3 | 361 | 152 |
| 4 | 712 | 152 |
| 5 | 1037 | 152 |
| 6 | 1440 | 152 |
| 7 | 1838 | 152 |
| 8 | 2473 | 152 |
| 9 | 2970 | 152 |
| 10 | 3056 | 152 |
| 11 | 3162 | 152 |
| 12 | 3258 | 152 |
| 13 | 3258 | 152 |
| 14 | 3258 | 152 |
| 0 | 3258 | 152 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(fma.f64 z z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
(neg.f64 y) |
y |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) y) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) |
(*.f64 y (fma.f64 z z #s(literal 1 binary64))) |
y |
(fma.f64 z z #s(literal 1 binary64)) |
z |
x |
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 (*.f64 y z) z y) |
(*.f64 y z) |
y |
z |
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 x #s(literal -1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
y |
(+.f64 #s(literal 1 binary64) (*.f64 z z)) |
#s(literal 1 binary64) |
(*.f64 z z) |
z |
| Outputs |
|---|
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) x) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(fma.f64 z z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
(neg.f64 y) |
y |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (pow.f64 x #s(literal -1 binary64)) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) y) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) y) |
(/.f64 #s(literal 1 binary64) x) |
(pow.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
x |
y |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) |
(*.f64 y (fma.f64 z z #s(literal 1 binary64))) |
y |
(fma.f64 z z #s(literal 1 binary64)) |
z |
x |
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) x) |
(pow.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
x |
(fma.f64 (*.f64 y z) z y) |
(*.f64 y (fma.f64 z z #s(literal 1 binary64))) |
(*.f64 y z) |
y |
z |
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
(pow.f64 x #s(literal -1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 y (fma.f64 z z #s(literal 1 binary64))) |
y |
(+.f64 #s(literal 1 binary64) (*.f64 z z)) |
(fma.f64 z z #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z z) |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 z z) | |
| accuracy | 0.481132519536884 | (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| accuracy | 2.1370106923187304 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) | |
| accuracy | 7.1564661041975635 | (/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0 | (*.f64 y z) | |
| accuracy | 0.05078125 | (fma.f64 (*.f64 y z) z y) | |
| accuracy | 7.1564661041975635 | (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) | |
| accuracy | 0.0 | (fma.f64 z z #s(literal 1 binary64)) | |
| accuracy | 0.2839722413752826 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) | |
| accuracy | 2.1370106923187304 | (*.f64 y (fma.f64 z z #s(literal 1 binary64))) | |
| accuracy | 7.076110816078353 | (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.2109375 | (/.f64 (/.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 31.01755808147437 | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.6921665054270475 | (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) | |
| accuracy | 10.671112676738264 | (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) |
| 123.0ms | 256× | 0 | valid |
Compiled 166 to 30 computations (81.9% saved)
ival-pow: 51.0ms (60.4% of total)ival-div: 14.0ms (16.6% of total)ival-mult: 9.0ms (10.7% of total)ival-pow2: 6.0ms (7.1% of total)ival-add: 3.0ms (3.6% of total)exact: 1.0ms (1.2% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
(fma.f64 z z #s(literal 1 binary64)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) y) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) |
(*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) |
(*.f64 y (fma.f64 z z #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) |
(fma.f64 (*.f64 y z) z y) |
(*.f64 y z) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 z z)) |
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(pow.f64 x #s(literal -1/2 binary64)) |
(neg.f64 y) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 z z) |
| Outputs |
|---|
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ -1 (* x (+ 1 (pow z 2)))) |
(/ -1 x) |
(/ 1 (* x y)) |
(/ 1 x) |
(* x (* y (+ 1 (pow z 2)))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(sqrt (/ 1 x)) |
(* -1 (/ (pow (sqrt -1) 2) x)) |
(* -1 (/ (pow (sqrt -1) 2) (* x (* y (+ 1 (pow z 2)))))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* y (+ 1 (pow z 2))) |
(* y z) |
(* -1 y) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(- (/ (pow z 2) x) (/ 1 x)) |
(- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x)) |
(- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x)) |
1 |
(+ 1 (pow z 2)) |
(* x y) |
(+ (* x y) (* x (* y (pow z 2)))) |
y |
(+ y (* y (pow z 2))) |
(pow z 2) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ -1 (* x (pow z 2))) |
(/ (- (/ 1 (* x (pow z 2))) (/ 1 x)) (pow z 2)) |
(/ (- (/ 1 (* x (pow z 2))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6)))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2)) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(* x (* y (pow z 2))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | y | @ | -inf | ((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (/ (/ 1 x) (+ (* (* y z) z) y)) (+ (* (* y z) z) y) (* y z) (pow (pow x -1/2) 2) (+ 1 (* z z)) (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (pow x -1/2) (neg y) (* y (+ 1 (* z z))) (* z z)) |
| 5.0ms | x | @ | 0 | ((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (/ (/ 1 x) (+ (* (* y z) z) y)) (+ (* (* y z) z) y) (* y z) (pow (pow x -1/2) 2) (+ 1 (* z z)) (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (pow x -1/2) (neg y) (* y (+ 1 (* z z))) (* z z)) |
| 4.0ms | x | @ | -inf | ((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (/ (/ 1 x) (+ (* (* y z) z) y)) (+ (* (* y z) z) y) (* y z) (pow (pow x -1/2) 2) (+ 1 (* z z)) (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (pow x -1/2) (neg y) (* y (+ 1 (* z z))) (* z z)) |
| 3.0ms | x | @ | inf | ((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (/ (/ 1 x) (+ (* (* y z) z) y)) (+ (* (* y z) z) y) (* y z) (pow (pow x -1/2) 2) (+ 1 (* z z)) (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (pow x -1/2) (neg y) (* y (+ 1 (* z z))) (* z z)) |
| 2.0ms | y | @ | inf | ((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (/ (/ 1 x) (+ (* (* y z) z) y)) (+ (* (* y z) z) y) (* y z) (pow (pow x -1/2) 2) (+ 1 (* z z)) (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (pow x -1/2) (neg y) (* y (+ 1 (* z z))) (* z z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 465 |
| 1 | 274 | 459 |
| 2 | 772 | 439 |
| 3 | 3170 | 412 |
| 0 | 8344 | 388 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ -1 (* x (+ 1 (pow z 2)))) |
(/ -1 x) |
(/ 1 (* x y)) |
(/ 1 x) |
(* x (* y (+ 1 (pow z 2)))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(sqrt (/ 1 x)) |
(* -1 (/ (pow (sqrt -1) 2) x)) |
(* -1 (/ (pow (sqrt -1) 2) (* x (* y (+ 1 (pow z 2)))))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* y (+ 1 (pow z 2))) |
(* y z) |
(* -1 y) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(- (/ (pow z 2) x) (/ 1 x)) |
(- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x)) |
(- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x)) |
1 |
(+ 1 (pow z 2)) |
(* x y) |
(+ (* x y) (* x (* y (pow z 2)))) |
y |
(+ y (* y (pow z 2))) |
(pow z 2) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ -1 (* x (pow z 2))) |
(/ (- (/ 1 (* x (pow z 2))) (/ 1 x)) (pow z 2)) |
(/ (- (/ 1 (* x (pow z 2))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6)))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2)) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(* x (* y (pow z 2))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
| Outputs |
|---|
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)) |
(/ -1 (* x (+ 1 (pow z 2)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ 1 (* x y)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) y) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* x (* y (+ 1 (pow z 2)))) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(* -1 (/ (pow (sqrt -1) 2) x)) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (pow (sqrt -1) 2) (* x (* y (+ 1 (pow z 2)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* y (+ 1 (pow z 2))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y) |
(* y z) |
(*.f64 y z) |
(* -1 y) |
(neg.f64 y) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (fma.f64 z z #s(literal -1 binary64))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(fma.f64 (/.f64 (/.f64 z y) x) (-.f64 (pow.f64 z #s(literal 3 binary64)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (fma.f64 z z #s(literal -1 binary64)))) |
(- (/ (pow z 2) x) (/ 1 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal -1 binary64))) |
(- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x)) |
(fma.f64 (/.f64 z x) (-.f64 z (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x)) |
(*.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal -1 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow z 2)) |
(fma.f64 z z #s(literal 1 binary64)) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* x (* y (pow z 2)))) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) |
y |
(+ y (* y (pow z 2))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y) |
(pow z 2) |
(*.f64 z z) |
(/ 1 (* x (* y (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x)) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) x)) y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) x)) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 z z)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) x)) y) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64)))))) (*.f64 z z)) |
(/ -1 (* x (pow z 2))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) x)) |
(/ (- (/ 1 (* x (pow z 2))) (/ 1 x)) (pow z 2)) |
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) x))) |
(/ (- (/ 1 (* x (pow z 2))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2)) |
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) x))) (*.f64 z z)) |
(/ (- (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6)))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 6 binary64)) x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) x)))) (*.f64 z z)) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(fma.f64 z z #s(literal 1 binary64)) |
(* x (* y (pow z 2))) |
(*.f64 (*.f64 (*.f64 z z) y) x) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) |
(* y (pow z 2)) |
(*.f64 (*.f64 z z) y) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 132 |
| 0 | 52 | 127 |
| 1 | 192 | 123 |
| 2 | 1194 | 123 |
| 0 | 8289 | 123 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
(fma.f64 z z #s(literal 1 binary64)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) y) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) |
(*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) |
(*.f64 y (fma.f64 z z #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) |
(fma.f64 (*.f64 y z) z y) |
(*.f64 y z) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 z z)) |
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(pow.f64 x #s(literal -1/2 binary64)) |
(neg.f64 y) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 z z) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (+.f64 z #s(literal 1 binary64))) (-.f64 z #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 z z #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -3/4 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 z z #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 y (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y)))) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (pow.f64 z #s(literal 4 binary64)) y)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) |
(*.f64 (*.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) |
(*.f64 (*.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) y)) |
(*.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) #s(literal -1 binary64)) x) (/.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) x) (/.f64 (*.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (pow.f64 z #s(literal 4 binary64)) y))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -3/4 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (neg.f64 y))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -3/4 binary64)) (neg.f64 y)) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 z z)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) (neg.f64 y))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -3/4 binary64)) (*.f64 y (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -3/4 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 (*.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (pow.f64 z #s(literal 4 binary64)) y))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -3/4 binary64)) y) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (fma.f64 z z #s(literal 1 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (*.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (pow.f64 z #s(literal 4 binary64)) y))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (*.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (pow.f64 z #s(literal 4 binary64)) y))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) y) (/.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) y) (/.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) y) (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)) y)) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) y)) |
(*.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (fma.f64 z z #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) y) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 z z)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) y)) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 y))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 y)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 z z)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 y)) (/.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (fma.f64 z z #s(literal 1 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (neg.f64 y)) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 z z)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 y (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 (*.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (pow.f64 z #s(literal 4 binary64)) y))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) y) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) (fma.f64 z z #s(literal 1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) |
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(-.f64 (fma.f64 (*.f64 z z) y #s(literal 0 binary64)) (neg.f64 y)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 y y) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) (/.f64 (*.f64 y y) (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) y)) |
(-.f64 (*.f64 (*.f64 z z) y) (neg.f64 y)) |
(+.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 z z))) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) |
(+.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 z) z)) y) |
(+.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 0 binary64)) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))) |
(+.f64 (*.f64 (*.f64 z z) y) y) |
(+.f64 y (*.f64 (neg.f64 y) (*.f64 (neg.f64 z) z))) |
(+.f64 y (*.f64 (*.f64 z z) y)) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z))) |
(*.f64 (*.f64 z z) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 z z)) |
(*.f64 z z) |
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z z) #s(literal 1 binary64)) |
(pow.f64 z #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) |
Compiled 26 958 to 3 762 computations (86% saved)
17 alts after pruning (15 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 283 | 13 | 1 296 |
| Fresh | 6 | 2 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 292 | 17 | 1 309 |
| Status | Accuracy | Program |
|---|---|---|
| 85.2% | (/.f64 (pow.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) | |
| ✓ | 88.8% | (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) |
| 50.4% | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y))) | |
| ▶ | 88.7% | (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (neg.f64 x) y)) |
| 89.6% | (/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y) | |
| ▶ | 97.0% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) |
| 96.2% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x))) | |
| ▶ | 88.6% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x)) |
| 88.7% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))) | |
| 89.6% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) | |
| ▶ | 50.4% | (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y)) x)) |
| ▶ | 51.2% | (/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x))) |
| 47.7% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) | |
| ✓ | 51.4% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
| 51.4% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) | |
| 51.3% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) | |
| 51.3% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (pow.f64 x #s(literal -3/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1 binary64))))) |
Compiled 485 to 373 computations (23.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (neg.f64 x) y) | |
| cost-diff | 0 | (fma.f64 z z #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) | |
| cost-diff | 1 | (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (neg.f64 x) y)) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (fma.f64 (*.f64 y z) z y) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 y z) z y) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x)) | |
| cost-diff | 0 | (*.f64 (*.f64 z z) y) | |
| cost-diff | 0 | #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y)) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y)) x)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x))) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) | |
| cost-diff | 2 | (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 184 |
| 0 | 49 | 189 |
| 1 | 90 | 179 |
| 2 | 155 | 179 |
| 3 | 363 | 179 |
| 4 | 672 | 179 |
| 5 | 954 | 179 |
| 6 | 1443 | 179 |
| 7 | 1700 | 179 |
| 8 | 2101 | 179 |
| 9 | 2458 | 179 |
| 10 | 2534 | 179 |
| 11 | 2542 | 179 |
| 12 | 2546 | 179 |
| 13 | 2546 | 179 |
| 14 | 2546 | 179 |
| 0 | 2546 | 179 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)) |
(*.f64 y z) |
y |
z |
(*.f64 z x) |
x |
(*.f64 y x) |
(/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x))) |
#s(literal 1 binary64) |
#s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y)) x)) |
#s(literal 1 binary64) |
(*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y)) x) |
#s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
y |
x |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 (*.f64 y z) z y) x) |
(fma.f64 (*.f64 y z) z y) |
(*.f64 y z) |
y |
z |
x |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (neg.f64 x) y)) |
(/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) |
#s(literal -1 binary64) |
(fma.f64 z z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) y y) x)) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)) |
(*.f64 (fma.f64 (*.f64 z z) y y) x) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(*.f64 z x) |
(*.f64 x z) |
x |
(*.f64 y x) |
(*.f64 x y) |
(/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 x y))) |
#s(literal 1 binary64) |
#s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x)) |
#s(approx (* (* y (+ (* z z) 1)) x) (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y)) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y))) |
#s(literal 1 binary64) |
(*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y)) x) |
#s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
y |
x |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) y y) x)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 (*.f64 y z) z y) x) |
(*.f64 (fma.f64 (*.f64 z z) y y) x) |
(fma.f64 (*.f64 y z) z y) |
(fma.f64 (*.f64 z z) y y) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
x |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (neg.f64 x) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) y y) x)) |
(/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) |
#s(literal -1 binary64) |
(fma.f64 z z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 (neg.f64 x) y) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.3507651795123649 | (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) | |
| accuracy | 6.950314979570906 | (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (neg.f64 x) y)) | |
| accuracy | 0.0 | (*.f64 y z) | |
| accuracy | 0.05078125 | (fma.f64 (*.f64 y z) z y) | |
| accuracy | 0.2839722413752826 | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x)) | |
| accuracy | 7.076110816078353 | (*.f64 (fma.f64 (*.f64 y z) z y) x) | |
| accuracy | 0.2839722413752826 | (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y)) x)) | |
| accuracy | 6.555414475935308 | (*.f64 (*.f64 z z) y) | |
| accuracy | 7.076110816078353 | (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y)) x) | |
| accuracy | 26.98830951438388 | #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y)) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 0.2839722413752826 | (/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x))) | |
| accuracy | 31.02007556626246 | #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x)) | |
| accuracy | 0.0 | (*.f64 y z) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 0.2839722413752826 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) | |
| accuracy | 1.7243168095989359 | (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)) |
| 93.0ms | 256× | 0 | valid |
Compiled 173 to 27 computations (84.4% saved)
ival-div: 20.0ms (49.4% of total)ival-mult: 16.0ms (39.5% of total)ival-add: 3.0ms (7.4% of total)ival-neg: 1.0ms (2.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) |
(*.f64 y z) |
(*.f64 z x) |
(/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x))) |
#s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x)) |
(*.f64 y x) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y)) x)) |
(*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y)) x) |
#s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 z z) y) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x)) |
(*.f64 (fma.f64 (*.f64 y z) z y) x) |
(fma.f64 (*.f64 y z) z y) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (neg.f64 x) y)) |
(/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) |
(fma.f64 z z #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
| Outputs |
|---|
(* x (+ y (* y (pow z 2)))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(* x z) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(* x (* y (+ 1 (pow z 2)))) |
(* x y) |
(* -1 (* x y)) |
(* -1 x) |
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(* y (+ x (* x (pow z 2)))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(* y z) |
(* y (+ 1 (pow z 2))) |
(* y (pow z 2)) |
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(* -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(+ (* x y) (* x (* y (pow z 2)))) |
(/ 1 (* x y)) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
y |
(+ y (* y (pow z 2))) |
-1 |
(- (pow z 2) 1) |
(- (* (pow z 2) (+ 1 (* -1 (pow z 2)))) 1) |
(- (* (pow z 2) (+ 1 (* (pow z 2) (- (pow z 2) 1)))) 1) |
1 |
(+ 1 (pow z 2)) |
(* x (* y (pow z 2))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(/ -1 (pow z 2)) |
(/ (- (/ 1 (pow z 2)) 1) (pow z 2)) |
(/ (- (/ 1 (pow z 2)) (+ 1 (/ 1 (pow z 4)))) (pow z 2)) |
(/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow z 6))) (+ 1 (/ 1 (pow z 4)))) (pow z 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | y | @ | 0 | ((+ (* (* y z) (* z x)) (* y x)) (/ 1 (+ (* (* y z) (* z x)) (* y x))) (* y z) (* z x) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y x) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (* (* z z) y) (/ 1 (* (+ (* (* y z) z) y) x)) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (/ (/ -1 (+ (* z z) 1)) (* (neg x) y)) (/ -1 (+ (* z z) 1)) (+ (* z z) 1) (* (neg x) y) (neg x)) |
| 4.0ms | y | @ | -inf | ((+ (* (* y z) (* z x)) (* y x)) (/ 1 (+ (* (* y z) (* z x)) (* y x))) (* y z) (* z x) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y x) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (* (* z z) y) (/ 1 (* (+ (* (* y z) z) y) x)) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (/ (/ -1 (+ (* z z) 1)) (* (neg x) y)) (/ -1 (+ (* z z) 1)) (+ (* z z) 1) (* (neg x) y) (neg x)) |
| 3.0ms | x | @ | -inf | ((+ (* (* y z) (* z x)) (* y x)) (/ 1 (+ (* (* y z) (* z x)) (* y x))) (* y z) (* z x) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y x) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (* (* z z) y) (/ 1 (* (+ (* (* y z) z) y) x)) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (/ (/ -1 (+ (* z z) 1)) (* (neg x) y)) (/ -1 (+ (* z z) 1)) (+ (* z z) 1) (* (neg x) y) (neg x)) |
| 3.0ms | y | @ | inf | ((+ (* (* y z) (* z x)) (* y x)) (/ 1 (+ (* (* y z) (* z x)) (* y x))) (* y z) (* z x) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y x) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (* (* z z) y) (/ 1 (* (+ (* (* y z) z) y) x)) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (/ (/ -1 (+ (* z z) 1)) (* (neg x) y)) (/ -1 (+ (* z z) 1)) (+ (* z z) 1) (* (neg x) y) (neg x)) |
| 3.0ms | x | @ | inf | ((+ (* (* y z) (* z x)) (* y x)) (/ 1 (+ (* (* y z) (* z x)) (* y x))) (* y z) (* z x) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y x) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (* (* z z) y) (/ 1 (* (+ (* (* y z) z) y) x)) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (/ (/ -1 (+ (* z z) 1)) (* (neg x) y)) (/ -1 (+ (* z z) 1)) (+ (* z z) 1) (* (neg x) y) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 471 |
| 1 | 297 | 468 |
| 2 | 842 | 456 |
| 3 | 2827 | 436 |
| 4 | 7255 | 436 |
| 0 | 8114 | 412 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ y (* y (pow z 2)))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(* x z) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(* x (* y (+ 1 (pow z 2)))) |
(* x y) |
(* -1 (* x y)) |
(* -1 x) |
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(* y (+ x (* x (pow z 2)))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(* y z) |
(* y (+ 1 (pow z 2))) |
(* y (pow z 2)) |
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(* -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(+ (* x y) (* x (* y (pow z 2)))) |
(/ 1 (* x y)) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
y |
(+ y (* y (pow z 2))) |
-1 |
(- (pow z 2) 1) |
(- (* (pow z 2) (+ 1 (* -1 (pow z 2)))) 1) |
(- (* (pow z 2) (+ 1 (* (pow z 2) (- (pow z 2) 1)))) 1) |
1 |
(+ 1 (pow z 2)) |
(* x (* y (pow z 2))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(/ -1 (pow z 2)) |
(/ (- (/ 1 (pow z 2)) 1) (pow z 2)) |
(/ (- (/ 1 (pow z 2)) (+ 1 (/ 1 (pow z 4)))) (pow z 2)) |
(/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow z 6))) (+ 1 (/ 1 (pow z 4)))) (pow z 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
| Outputs |
|---|
(* x (+ y (* y (pow z 2)))) |
(*.f64 (fma.f64 (*.f64 z z) y y) x) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) y y) x)) |
(* x z) |
(*.f64 x z) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) y y) x)) |
(* x (* y (+ 1 (pow z 2)))) |
(*.f64 (fma.f64 (*.f64 z z) y y) x) |
(* x y) |
(*.f64 x y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(*.f64 (fma.f64 (*.f64 z z) y y) x) |
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) y y) x)) |
(* y (+ x (* x (pow z 2)))) |
(*.f64 (fma.f64 (*.f64 z z) y y) x) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) y y) x)) |
(* y z) |
(*.f64 z y) |
(* y (+ 1 (pow z 2))) |
(fma.f64 (*.f64 z z) y y) |
(* y (pow z 2)) |
(*.f64 (*.f64 z z) y) |
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(*.f64 (fma.f64 (*.f64 z z) y y) x) |
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) y y) x)) |
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) y y) x)) |
(* -1 (* x (* y (- (* -1 (pow z 2)) 1)))) |
(*.f64 (fma.f64 (*.f64 z z) y y) x) |
(* -1 (* y (- (* -1 (pow z 2)) 1))) |
(fma.f64 (*.f64 z z) y y) |
(+ (* x y) (* x (* y (pow z 2)))) |
(*.f64 (fma.f64 (*.f64 z z) y y) x) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(fma.f64 (/.f64 (/.f64 z x) y) (-.f64 (pow.f64 z #s(literal 3 binary64)) z) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) |
y |
(+ y (* y (pow z 2))) |
(fma.f64 (*.f64 z z) y y) |
-1 |
#s(literal -1 binary64) |
(- (pow z 2) 1) |
(fma.f64 z z #s(literal -1 binary64)) |
(- (* (pow z 2) (+ 1 (* -1 (pow z 2)))) 1) |
(fma.f64 z z (-.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)))) |
(- (* (pow z 2) (+ 1 (* (pow z 2) (- (pow z 2) 1)))) 1) |
(*.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 z z #s(literal -1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow z 2)) |
(fma.f64 z z #s(literal 1 binary64)) |
(* x (* y (pow z 2))) |
(*.f64 (*.f64 (*.f64 x z) z) y) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(*.f64 (fma.f64 (*.f64 z z) y y) x) |
(/ 1 (* x (* y (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x z) z) y)) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x z) z) y))) (*.f64 z z)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (pow.f64 z #s(literal 4 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x z) z) y))) (*.f64 z z)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (pow.f64 z #s(literal 4 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x z) z) y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) y) x))) (*.f64 z z)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(fma.f64 (*.f64 z z) y y) |
(/ -1 (pow z 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 z z)) |
(/ (- (/ 1 (pow z 2)) 1) (pow z 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64)) z) z) |
(/ (- (/ 1 (pow z 2)) (+ 1 (/ 1 (pow z 4)))) (pow z 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (*.f64 z z)) |
(/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow z 6))) (+ 1 (/ 1 (pow z 4)))) (pow z 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64)) z) z)) (*.f64 z z)) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(fma.f64 z z #s(literal 1 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 155 |
| 0 | 49 | 160 |
| 1 | 168 | 150 |
| 2 | 997 | 150 |
| 0 | 8319 | 150 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) |
(*.f64 y z) |
(*.f64 z x) |
(/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x))) |
#s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x)) |
(*.f64 y x) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y)) x)) |
(*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y)) x) |
#s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 z z) y) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x)) |
(*.f64 (fma.f64 (*.f64 y z) z y) x) |
(fma.f64 (*.f64 y z) z y) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (neg.f64 x) y)) |
(/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) |
(fma.f64 z z #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) (neg.f64 y)) x) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x) (neg.f64 y)) |
(*.f64 (*.f64 (*.f64 x y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 x y) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (neg.f64 y) (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (neg.f64 x) (fma.f64 z z #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 y) (pow.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (neg.f64 x) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)))) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (neg.f64 y) (fma.f64 z z #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (neg.f64 y) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)))) |
(*.f64 (/.f64 y (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 z z #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (pow.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 x (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)))) |
(*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 x (fma.f64 z z #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 x (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)))) |
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 y (fma.f64 z z #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 y (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 x y) (fma.f64 z z #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 x y) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)))) |
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 y) (fma.f64 z z #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 y) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) x) (/.f64 (*.f64 (*.f64 x y) (fma.f64 z z #s(literal -1 binary64))) (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) y) (/.f64 (*.f64 (*.f64 x y) (fma.f64 z z #s(literal -1 binary64))) (fma.f64 (*.f64 z z) x (neg.f64 x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (neg.f64 x) y) (fma.f64 z z #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (neg.f64 x) y) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)))) |
(*.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 y (fma.f64 z z #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (pow.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 y (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)))) |
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 x) (fma.f64 z z #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 x) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)))) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) y)) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) (/.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 y)) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) (neg.f64 x)) y) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) y) (/.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) y) (neg.f64 x)) |
(*.f64 (*.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) x) (pow.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (pow.f64 (*.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (pow.f64 z #s(literal 4 binary64)) y))) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (*.f64 y (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) (pow.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (*.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (pow.f64 z #s(literal 4 binary64)) y))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 y (-.f64 y (*.f64 (pow.f64 z #s(literal 4 binary64)) y)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))))) |
(*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 z z))) (neg.f64 y)) |
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 y (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))) |
(*.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 y) (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 z z))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 y) (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 z z)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 y (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) (*.f64 (pow.f64 (*.f64 (*.f64 x y) (fma.f64 z z #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 y (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) (pow.f64 (*.f64 (*.f64 x y) (fma.f64 z z #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x y))) |
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(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 y (/.f64 #s(literal -1 binary64) x))) |
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(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64))) (*.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 z z #s(literal -1 binary64)) (fma.f64 z z #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 z z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 z z #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 z z)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 z z #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z))))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 z z))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z))) |
(/.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 z z)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z))) |
(fma.f64 (*.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 z #s(literal 1 binary64))) (/.f64 z (-.f64 z #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (/.f64 (*.f64 z z) (-.f64 z #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 z (+.f64 z #s(literal 1 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 z #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 z z) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 z z) #s(literal 1 binary64)) |
(fma.f64 z z #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64))) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 z z))) |
(+.f64 (neg.f64 (*.f64 (neg.f64 z) z)) #s(literal 1 binary64)) |
(+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 z z) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 z) z))) |
(+.f64 #s(literal 1 binary64) (*.f64 z z)) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) y) |
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) y) |
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 x)) |
(*.f64 (neg.f64 y) x) |
(*.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (neg.f64 (neg.f64 y))) |
(*.f64 (neg.f64 x) y) |
(*.f64 #s(literal -1 binary64) (*.f64 x y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) y)) |
(*.f64 (*.f64 x y) #s(literal -1 binary64)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 y (neg.f64 x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x y))))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 x y)) |
(/.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) |
(/.f64 (*.f64 x y) #s(literal -1 binary64)) |
(neg.f64 (*.f64 x y)) |
(fma.f64 #s(literal 0 binary64) y (*.f64 (neg.f64 x) y)) |
(fma.f64 y #s(literal 0 binary64) (*.f64 (neg.f64 x) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 x y)) |
(+.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 y #s(literal 0 binary64)) (*.f64 (neg.f64 x) y)) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 (*.f64 x x)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) x) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 x x)) x) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
Compiled 16 929 to 2 361 computations (86.1% saved)
16 alts after pruning (13 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 787 | 5 | 792 |
| Fresh | 2 | 8 | 10 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 793 | 16 | 809 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 85.2% | (/.f64 (pow.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| ✓ | 88.8% | (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) |
| ▶ | 50.4% | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y))) |
| 55.6% | (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* z z) 1) (*.f64 z z))) (*.f64 (neg.f64 x) y)) | |
| 47.7% | (/.f64 #s(approx (/ -1 (+ (* z z) 1)) (fma.f64 z z #s(literal -1 binary64))) (*.f64 (neg.f64 x) y)) | |
| 47.0% | (/.f64 #s(approx (/ -1 (+ (* z z) 1)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64)) z) z)) (*.f64 (neg.f64 x) y)) | |
| ▶ | 96.2% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x))) |
| 88.7% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))) | |
| 89.6% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) | |
| ▶ | 53.8% | (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z y) z)) x)) |
| 63.6% | (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* z x)) (* y x)) (*.f64 (*.f64 (*.f64 x z) z) y))) | |
| ✓ | 51.2% | (/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x))) |
| ✓ | 51.4% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
| ▶ | 51.4% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
| 51.3% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) | |
| 51.3% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (pow.f64 x #s(literal -3/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1 binary64))))) |
Compiled 490 to 375 computations (23.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (pow.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 (pow.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) | |
| cost-diff | 1 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) | |
| cost-diff | 0 | (*.f64 (*.f64 z z) y) | |
| cost-diff | 0 | #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y))) | |
| cost-diff | 0 | (*.f64 (*.f64 z y) z) | |
| cost-diff | 0 | #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z y) z)) | |
| cost-diff | 0 | (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z y) z)) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z y) z)) x)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) | |
| cost-diff | 1 | (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 x (*.f64 y z)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x))) | |
| cost-diff | 2 | (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 234 |
| 0 | 64 | 234 |
| 1 | 110 | 232 |
| 2 | 158 | 230 |
| 3 | 292 | 230 |
| 4 | 400 | 230 |
| 5 | 593 | 230 |
| 6 | 836 | 230 |
| 7 | 1273 | 230 |
| 8 | 1607 | 230 |
| 9 | 2134 | 230 |
| 10 | 2353 | 230 |
| 11 | 2812 | 230 |
| 12 | 3113 | 230 |
| 13 | 3210 | 230 |
| 14 | 3364 | 230 |
| 15 | 3445 | 230 |
| 16 | 3451 | 230 |
| 17 | 3451 | 230 |
| 18 | 3471 | 230 |
| 19 | 3479 | 230 |
| 20 | 3479 | 230 |
| 21 | 3479 | 230 |
| 0 | 3479 | 219 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x)) |
(*.f64 x (*.f64 y z)) |
x |
(*.f64 y z) |
y |
z |
(*.f64 y x) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(neg.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z y) z)) x)) |
#s(literal 1 binary64) |
(*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z y) z)) x) |
#s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z y) z)) |
(*.f64 (*.f64 z y) z) |
(*.f64 z y) |
z |
y |
x |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
y |
(/.f64 (pow.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(pow.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
#s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 2 binary64) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
y |
(+.f64 #s(literal 1 binary64) (*.f64 z z)) |
(*.f64 z z) |
z |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x)) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) |
(*.f64 x (*.f64 y z)) |
(*.f64 (*.f64 z y) x) |
x |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(*.f64 y x) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(neg.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z y) z)) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y))) |
#s(literal 1 binary64) |
(*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z y) z)) x) |
(*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y)) x) |
#s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z y) z)) |
#s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 z y) z) |
(*.f64 (*.f64 z z) y) |
(*.f64 z y) |
z |
y |
x |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) |
#s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
y |
(/.f64 (pow.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 (pow.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)) |
(pow.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
#s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 2 binary64) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y) |
y |
(+.f64 #s(literal 1 binary64) (*.f64 z z)) |
(fma.f64 z z #s(literal 1 binary64)) |
(*.f64 z z) |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08984375 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.481132519536884 | (pow.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) | |
| accuracy | 2.1370106923187304 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) | |
| accuracy | 7.1564661041975635 | (/.f64 (pow.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) | |
| accuracy | 0.0 | (*.f64 z z) | |
| accuracy | 6.555414475935308 | (*.f64 (*.f64 z z) y) | |
| accuracy | 7.1564661041975635 | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y))) | |
| accuracy | 26.98830951438388 | #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) | |
| accuracy | 0.14453125 | (*.f64 (*.f64 z y) z) | |
| accuracy | 0.2839722413752826 | (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z y) z)) x)) | |
| accuracy | 7.076110816078353 | (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z y) z)) x) | |
| accuracy | 26.98830951438388 | #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z y) z)) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.19921875 | (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) | |
| accuracy | 31.01755808147437 | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 0.2839722413752826 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x))) | |
| accuracy | 0.5367199598217349 | (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x)) | |
| accuracy | 7.673617880940088 | (*.f64 x (*.f64 y z)) |
| 92.0ms | 256× | 0 | valid |
Compiled 186 to 34 computations (81.7% saved)
ival-pow2: 35.0ms (47.3% of total)ival-mult: 15.0ms (20.3% of total)ival-div: 11.0ms (14.9% of total)ival-pow: 6.0ms (8.1% of total)ival-add: 3.0ms (4.1% of total)ival-sqrt: 2.0ms (2.7% of total)exact: 1.0ms (1.4% of total)ival-neg: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x))) |
(*.f64 x (*.f64 y z)) |
(*.f64 y z) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) y) |
(neg.f64 x) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z y) z)) x)) |
(*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z y) z)) x) |
#s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z y) z)) |
(*.f64 (*.f64 z y) z) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y))) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 z z) y) |
(+.f64 #s(literal 1 binary64) (*.f64 z z)) |
(/.f64 (pow.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(pow.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
#s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 y x) |
(*.f64 z z) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(* x (+ y (* y (pow z 2)))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(* x (* y z)) |
(/ 1 (* x y)) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(* -1 x) |
(* x (* y (+ 1 (pow z 2)))) |
(/ 1 x) |
(sqrt (/ 1 x)) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(* -1 (/ (pow (sqrt -1) 2) (* x (* y (+ 1 (pow z 2)))))) |
(* -1 (/ (pow (sqrt -1) 2) x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* y (+ x (* x (pow z 2)))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(* y z) |
(/ -1 y) |
(* y (+ 1 (pow z 2))) |
(* y (pow z 2)) |
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(+ (* x y) (* x (* y (pow z 2)))) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
y |
(+ y (* y (pow z 2))) |
1 |
(+ 1 (pow z 2)) |
(pow z 2) |
(* x (* y (pow z 2))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | y | @ | inf | ((+ (* (* x (* y z)) z) (* y x)) (/ 1 (+ (* (* x (* y z)) z) (* y x))) (* x (* y z)) (* y z) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (* (* z y) z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* (* z z) y) (+ 1 (* z z)) (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (pow (pow x -1/2) 2) (pow x -1/2) (* y x) (* z z) (* y (+ 1 (* z z))) (sqrt (/ 1 x))) |
| 4.0ms | x | @ | -inf | ((+ (* (* x (* y z)) z) (* y x)) (/ 1 (+ (* (* x (* y z)) z) (* y x))) (* x (* y z)) (* y z) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (* (* z y) z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* (* z z) y) (+ 1 (* z z)) (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (pow (pow x -1/2) 2) (pow x -1/2) (* y x) (* z z) (* y (+ 1 (* z z))) (sqrt (/ 1 x))) |
| 4.0ms | y | @ | -inf | ((+ (* (* x (* y z)) z) (* y x)) (/ 1 (+ (* (* x (* y z)) z) (* y x))) (* x (* y z)) (* y z) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (* (* z y) z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* (* z z) y) (+ 1 (* z z)) (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (pow (pow x -1/2) 2) (pow x -1/2) (* y x) (* z z) (* y (+ 1 (* z z))) (sqrt (/ 1 x))) |
| 3.0ms | x | @ | 0 | ((+ (* (* x (* y z)) z) (* y x)) (/ 1 (+ (* (* x (* y z)) z) (* y x))) (* x (* y z)) (* y z) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (* (* z y) z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* (* z z) y) (+ 1 (* z z)) (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (pow (pow x -1/2) 2) (pow x -1/2) (* y x) (* z z) (* y (+ 1 (* z z))) (sqrt (/ 1 x))) |
| 2.0ms | x | @ | inf | ((+ (* (* x (* y z)) z) (* y x)) (/ 1 (+ (* (* x (* y z)) z) (* y x))) (* x (* y z)) (* y z) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (/ 1 (* (* y (+ (* z z) 1)) x)) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (* (* z y) z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* (* z z) y) (+ 1 (* z z)) (/ (pow (pow x -1/2) 2) (* y (+ 1 (* z z)))) (pow (pow x -1/2) 2) (pow x -1/2) (* y x) (* z z) (* y (+ 1 (* z z))) (sqrt (/ 1 x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 384 |
| 1 | 241 | 379 |
| 2 | 703 | 373 |
| 3 | 2638 | 346 |
| 4 | 7048 | 346 |
| 0 | 8035 | 324 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ y (* y (pow z 2)))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(* x (* y z)) |
(/ 1 (* x y)) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(* -1 x) |
(* x (* y (+ 1 (pow z 2)))) |
(/ 1 x) |
(sqrt (/ 1 x)) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(* -1 (/ (pow (sqrt -1) 2) (* x (* y (+ 1 (pow z 2)))))) |
(* -1 (/ (pow (sqrt -1) 2) x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* y (+ x (* x (pow z 2)))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(* y z) |
(/ -1 y) |
(* y (+ 1 (pow z 2))) |
(* y (pow z 2)) |
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(+ (* x y) (* x (* y (pow z 2)))) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
y |
(+ y (* y (pow z 2))) |
1 |
(+ 1 (pow z 2)) |
(pow z 2) |
(* x (* y (pow z 2))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
| Outputs |
|---|
(* x (+ y (* y (pow z 2)))) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(/ 1 (* x y)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) y) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)) |
(* -1 x) |
(neg.f64 x) |
(* x (* y (+ 1 (pow z 2)))) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) |
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)) |
(* -1 (/ (pow (sqrt -1) 2) (* x (* y (+ 1 (pow z 2)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)) |
(* -1 (/ (pow (sqrt -1) 2) x)) |
(/.f64 #s(literal 1 binary64) x) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* y (+ x (* x (pow z 2)))) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)) |
(* y z) |
(*.f64 z y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(* y (+ 1 (pow z 2))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y) |
(* y (pow z 2)) |
(*.f64 (*.f64 z z) y) |
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) |
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)) |
(+ (* x y) (* x (* y (pow z 2)))) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (fma.f64 z z #s(literal -1 binary64))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(fma.f64 (/.f64 (/.f64 z y) x) (fma.f64 #s(literal -1 binary64) z (pow.f64 z #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (fma.f64 z z #s(literal -1 binary64)))) |
y |
(+ y (* y (pow z 2))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow z 2)) |
(fma.f64 z z #s(literal 1 binary64)) |
(pow z 2) |
(*.f64 z z) |
(* x (* y (pow z 2))) |
(*.f64 (*.f64 (*.f64 z z) x) y) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) |
(/ 1 (* x (* y (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) x) y)) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 z z) x) y)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y x))) (*.f64 z z)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64)))))) (*.f64 z z)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(fma.f64 z z #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 205 |
| 0 | 64 | 205 |
| 1 | 213 | 197 |
| 2 | 1092 | 197 |
| 0 | 8445 | 186 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x))) |
(*.f64 x (*.f64 y z)) |
(*.f64 y z) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) y) |
(neg.f64 x) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z y) z)) x)) |
(*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z y) z)) x) |
#s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z y) z)) |
(*.f64 (*.f64 z y) z) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y))) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 z z) y) |
(+.f64 #s(literal 1 binary64) (*.f64 z z)) |
(/.f64 (pow.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(pow.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
#s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 y x) |
(*.f64 z z) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 y x) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 y x) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))))))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 y (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y) x) (/.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) |
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) y)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
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(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) y)) (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) y)) (neg.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 z z #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)) (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)) (neg.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)))) (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64)) (*.f64 (neg.f64 y) y))) (neg.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 (*.f64 z z) y) (*.f64 y (fma.f64 z z #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64)) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) (-.f64 #s(literal 1 binary64) (*.f64 z z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) y) (fma.f64 z z #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) y) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) y) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z))) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 z z))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 z z #s(literal -1 binary64))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 (fma.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 (*.f64 z z) y) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64)) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))))) |
(/.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)) (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 y (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 (*.f64 y y) (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 z z #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64)) (*.f64 (neg.f64 y) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 (*.f64 z z) y) (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64)) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) #s(literal -1 binary64))) |
(/.f64 y (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64)))) |
(fma.f64 (neg.f64 y) #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 z) (*.f64 z y)))) |
(fma.f64 (neg.f64 y) #s(literal -1 binary64) (*.f64 (*.f64 z z) y)) |
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal 1 binary64) y) |
(fma.f64 (*.f64 z z) y y) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (neg.f64 (*.f64 (neg.f64 z) (*.f64 z y)))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 (*.f64 z z) y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y) y) |
(fma.f64 #s(literal 1 binary64) y (neg.f64 (*.f64 (neg.f64 z) (*.f64 z y)))) |
(fma.f64 #s(literal 1 binary64) y (*.f64 (*.f64 z z) y)) |
(fma.f64 (*.f64 z y) z y) |
(fma.f64 z (*.f64 z y) y) |
(fma.f64 y (*.f64 z z) y) |
(fma.f64 y #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 z) (*.f64 z y)))) |
(fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 (*.f64 y y) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)) (*.f64 y (fma.f64 z z #s(literal -1 binary64)))) (/.f64 (*.f64 y y) (*.f64 y (fma.f64 z z #s(literal -1 binary64))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64)))) |
(+.f64 (neg.f64 (*.f64 (neg.f64 z) (*.f64 z y))) y) |
(+.f64 (*.f64 (*.f64 z z) y) y) |
(+.f64 y (neg.f64 (*.f64 (neg.f64 z) (*.f64 z y)))) |
(+.f64 y (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/8 binary64))) (pow.f64 x #s(literal -1/8 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x)))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/8 binary64)) (*.f64 (pow.f64 x #s(literal -1/8 binary64)) (pow.f64 x #s(literal -1/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 x)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 x #s(literal -1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(sqrt.f64 (pow.f64 x #s(literal -1 binary64))) |
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/4 binary64) (*.f64 (log.f64 x) #s(literal -1/4 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) |
Compiled 28 132 to 3 473 computations (87.7% saved)
16 alts after pruning (9 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 181 | 2 | 1 183 |
| Fresh | 1 | 7 | 8 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 183 | 16 | 1 199 |
| Status | Accuracy | Program |
|---|---|---|
| 51.3% | (/.f64 (pow.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64)))) | |
| ✓ | 88.8% | (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) |
| ✓ | 50.4% | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y))) |
| 55.6% | (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* z z) 1) (*.f64 z z))) (*.f64 (neg.f64 x) y)) | |
| 47.7% | (/.f64 #s(approx (/ -1 (+ (* z z) 1)) (fma.f64 z z #s(literal -1 binary64))) (*.f64 (neg.f64 x) y)) | |
| 47.0% | (/.f64 #s(approx (/ -1 (+ (* z z) 1)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64)) z) z)) (*.f64 (neg.f64 x) y)) | |
| ✓ | 96.2% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x))) |
| 88.7% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))) | |
| ✓ | 53.8% | (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z y) z)) x)) |
| 63.6% | (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* z x)) (* y x)) (*.f64 (*.f64 (*.f64 x z) z) y))) | |
| 54.7% | (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x (* y z)) z) (* y x)) (*.f64 (*.f64 (*.f64 z z) x) y))) | |
| ✓ | 51.2% | (/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x))) |
| ✓ | 51.4% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
| ✓ | 51.4% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
| 51.3% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) | |
| 51.3% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (pow.f64 x #s(literal -3/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1 binary64))))) |
Compiled 798 to 355 computations (55.5% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) |
(/.f64 #s(approx (/ -1 (+ (* z z) 1)) (fma.f64 z z #s(literal -1 binary64))) (*.f64 (neg.f64 x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x (* y z)) z) (* y x)) (*.f64 (*.f64 (*.f64 z z) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* z x)) (* y x)) (*.f64 (*.f64 (*.f64 x z) z) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z y) z)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) |
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* z z) 1) (*.f64 z z))) (*.f64 (neg.f64 x) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (neg.f64 x) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 #s(approx (/ -1 (+ (* z z) 1)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64)) z) z)) (*.f64 (neg.f64 x) y)) |
(/.f64 (pow.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 y #s(approx (+ 1 (* z z)) #s(literal 1 binary64)))) |
(/.f64 (pow.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) |
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) |
(/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (pow.f64 x #s(literal -3/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1 binary64))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) |
8 calls:
| 10.0ms | z |
| 10.0ms | x |
| 10.0ms | (/.f64 #s(literal 1 binary64) x) |
| 10.0ms | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 1 | x |
| 99.0% | 2 | y |
| 99.0% | 2 | z |
| 97.0% | 1 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 97.0% | 1 | (/.f64 #s(literal 1 binary64) x) |
| 98.7% | 2 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 99.0% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 99.0% | 2 | (*.f64 z z) |
Compiled 32 to 40 computations (-25% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) |
(/.f64 #s(approx (/ -1 (+ (* z z) 1)) (fma.f64 z z #s(literal -1 binary64))) (*.f64 (neg.f64 x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x (* y z)) z) (* y x)) (*.f64 (*.f64 (*.f64 z z) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* z x)) (* y x)) (*.f64 (*.f64 (*.f64 x z) z) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z y) z)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) |
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* z z) 1) (*.f64 z z))) (*.f64 (neg.f64 x) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (neg.f64 x) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (neg.f64 x) y)) |
4 calls:
| 7.0ms | y |
| 7.0ms | (*.f64 z z) |
| 6.0ms | z |
| 5.0ms | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 2 | z |
| 98.8% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 98.8% | 2 | (*.f64 z z) |
| 98.8% | 2 | y |
Compiled 10 to 16 computations (-60% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) |
(/.f64 #s(approx (/ -1 (+ (* z z) 1)) (fma.f64 z z #s(literal -1 binary64))) (*.f64 (neg.f64 x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x (* y z)) z) (* y x)) (*.f64 (*.f64 (*.f64 z z) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* z x)) (* y x)) (*.f64 (*.f64 (*.f64 x z) z) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z y) z)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) |
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* z z) 1) (*.f64 z z))) (*.f64 (neg.f64 x) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))) |
1 calls:
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 2 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) |
(/.f64 #s(approx (/ -1 (+ (* z z) 1)) (fma.f64 z z #s(literal -1 binary64))) (*.f64 (neg.f64 x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x (* y z)) z) (* y x)) (*.f64 (*.f64 (*.f64 z z) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* z x)) (* y x)) (*.f64 (*.f64 (*.f64 x z) z) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z y) z)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) z (*.f64 y x))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* z x)) (* y x)) (*.f64 (*.f64 (*.f64 x z) z) y))) |
8 calls:
| 6.0ms | x |
| 6.0ms | (*.f64 z z) |
| 5.0ms | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 5.0ms | y |
| 5.0ms | (/.f64 #s(literal 1 binary64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 1 | x |
| 96.2% | 1 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 96.2% | 1 | (/.f64 #s(literal 1 binary64) x) |
| 98.5% | 2 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 98.5% | 2 | z |
| 98.5% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 98.5% | 2 | (*.f64 z z) |
| 98.1% | 2 | y |
Compiled 32 to 40 computations (-25% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) |
(/.f64 #s(approx (/ -1 (+ (* z z) 1)) (fma.f64 z z #s(literal -1 binary64))) (*.f64 (neg.f64 x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x (* y z)) z) (* y x)) (*.f64 (*.f64 (*.f64 z z) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* z x)) (* y x)) (*.f64 (*.f64 (*.f64 x z) z) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z y) z)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* z x)) (* y x)) (*.f64 (*.f64 (*.f64 x z) z) y))) |
4 calls:
| 4.0ms | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 4.0ms | z |
| 3.0ms | (*.f64 z z) |
| 3.0ms | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 2 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 98.5% | 2 | z |
| 98.5% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 98.5% | 2 | (*.f64 z z) |
Compiled 16 to 20 computations (-25% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) |
(/.f64 #s(approx (/ -1 (+ (* z z) 1)) (fma.f64 z z #s(literal -1 binary64))) (*.f64 (neg.f64 x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x (* y z)) z) (* y x)) (*.f64 (*.f64 (*.f64 z z) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* z x)) (* y x)) (*.f64 (*.f64 (*.f64 x z) z) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z y) z)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ (* z z) 1)) (*.f64 (*.f64 z z) y)) x)) |
| Outputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* z x)) (* y x)) (*.f64 (*.f64 (*.f64 x z) z) y))) |
4 calls:
| 4.0ms | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 3.0ms | z |
| 3.0ms | (*.f64 z z) |
| 3.0ms | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.1% | 2 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 98.3% | 2 | z |
| 98.3% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 98.3% | 2 | (*.f64 z z) |
Compiled 16 to 20 computations (-25% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) |
(/.f64 #s(approx (/ -1 (+ (* z z) 1)) (fma.f64 z z #s(literal -1 binary64))) (*.f64 (neg.f64 x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x (* y z)) z) (* y x)) (*.f64 (*.f64 (*.f64 z z) x) y))) |
| Outputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x (* y z)) z) (* y x)) (*.f64 (*.f64 (*.f64 z z) x) y))) |
7 calls:
| 4.0ms | x |
| 3.0ms | (/.f64 #s(literal 1 binary64) x) |
| 3.0ms | y |
| 3.0ms | z |
| 2.0ms | (*.f64 z z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.7% | 2 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 60.8% | 2 | (/.f64 #s(literal 1 binary64) x) |
| 60.8% | 2 | x |
| 62.5% | 4 | y |
| 89.5% | 2 | z |
| 89.5% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 89.5% | 2 | (*.f64 z z) |
Compiled 25 to 33 computations (-32% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) |
(/.f64 #s(approx (/ -1 (+ (* z z) 1)) (fma.f64 z z #s(literal -1 binary64))) (*.f64 (neg.f64 x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
| Outputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
4 calls:
| 2.0ms | z |
| 2.0ms | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 2.0ms | (*.f64 z z) |
| 2.0ms | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.8% | 2 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 85.0% | 2 | z |
| 85.0% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 85.0% | 2 | (*.f64 z z) |
Compiled 16 to 20 computations (-25% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) |
(/.f64 #s(approx (/ -1 (+ (* z z) 1)) (fma.f64 z z #s(literal -1 binary64))) (*.f64 (neg.f64 x) y)) |
| Outputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
8 calls:
| 4.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 #s(literal 1 binary64) x) |
| 2.0ms | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.4% | 1 | y |
| 51.4% | 1 | x |
| 51.4% | 1 | (/.f64 #s(literal 1 binary64) x) |
| 51.4% | 1 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 51.4% | 1 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 51.4% | 1 | z |
| 51.4% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 51.4% | 1 | (*.f64 z z) |
Compiled 32 to 40 computations (-25% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
| Outputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
8 calls:
| 1.0ms | (/.f64 #s(literal 1 binary64) x) |
| 1.0ms | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.4% | 1 | x |
| 51.4% | 1 | y |
| 51.4% | 1 | z |
| 51.4% | 1 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 51.4% | 1 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 51.4% | 1 | (/.f64 #s(literal 1 binary64) x) |
| 51.4% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 51.4% | 1 | (*.f64 z z) |
Compiled 32 to 40 computations (-25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x))) |
8 calls:
| 4.0ms | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 1.0ms | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 1.0ms | (/.f64 #s(literal 1 binary64) x) |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.2% | 1 | y |
| 51.2% | 1 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 51.2% | 1 | x |
| 51.2% | 1 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 51.2% | 1 | z |
| 51.2% | 1 | (/.f64 #s(literal 1 binary64) x) |
| 51.2% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 51.2% | 1 | (*.f64 z z) |
Compiled 32 to 40 computations (-25% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 4.0403006631370966e+128 | 2.3669016353517353e+131 |
| 9.0ms | 128× | 0 | valid |
Compiled 198 to 183 computations (7.6% saved)
ival-div: 2.0ms (49.1% of total)ival-mult: 2.0ms (49.1% of total)ival-add: 1.0ms (24.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 1.0281158752196497e+168 | 1.0969754965409351e+170 |
| 2.0ms | 32× | 0 | valid |
Compiled 60 to 57 computations (5% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 4.984740550743568e+125 | 7.646737874857112e+125 |
| 2.0ms | 32× | 0 | valid |
Compiled 58 to 53 computations (8.6% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.378216920294922e+205 | 3.4988422823567413e+205 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4021950089996684.0 | 7.682455454677796e+19 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.3162386207873625e-9 | 97682741.00384745 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.3162386207873625e-9 | 97682741.00384745 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.3162386207873625e-9 | 97682741.00384745 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | egg-herbie |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 348 |
| 1 | 149 | 340 |
| 2 | 227 | 340 |
| 3 | 339 | 340 |
| 4 | 391 | 340 |
| 5 | 443 | 340 |
| 6 | 495 | 340 |
| 7 | 771 | 340 |
| 8 | 3601 | 337 |
| 9 | 7383 | 337 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 y #s(literal 1060000000000000041206434455342817539378464710417054849768700767185319119088704839360700899685878779844717522805133247431055507456 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal 1999999999999999867720989669485949124743900432860663037223385644615401293399207295251384865191691894341829109199397042951078761626889625586558917010807457234988770000896 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (neg.f64 x) y))) |
(if (<=.f64 y #s(literal 499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))) |
(if (<=.f64 (*.f64 z z) #s(literal 20000000000000000332320709457100266805720535239871327970256129990546078137252710026514902573853139251497244082176191898637596077985558673396359852997433671054025460248400909387429436243536565212333765296128 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* z x)) (* y x)) (*.f64 (*.f64 (*.f64 x z) z) y)))) |
(if (<=.f64 (*.f64 z z) #s(literal 5000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* z x)) (* y x)) (*.f64 (*.f64 (*.f64 x z) z) y)))) |
(if (<=.f64 (*.f64 z z) #s(literal 4835703278458517/1208925819614629174706176 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* z x)) (* y x)) (*.f64 (*.f64 (*.f64 x z) z) y)))) |
(if (<=.f64 (*.f64 z z) #s(literal 4835703278458517/1208925819614629174706176 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x (* y z)) z) (* y x)) (*.f64 (*.f64 (*.f64 z z) x) y)))) |
(if (<=.f64 (*.f64 z z) #s(literal 4835703278458517/1208925819614629174706176 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x)))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x))) |
| Outputs |
|---|
(if (<=.f64 y #s(literal 1060000000000000041206434455342817539378464710417054849768700767185319119088704839360700899685878779844717522805133247431055507456 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal 1060000000000000041206434455342817539378464710417054849768700767185319119088704839360700899685878779844717522805133247431055507456 binary64)) (pow.f64 (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (fma.f64 z z #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal 1999999999999999867720989669485949124743900432860663037223385644615401293399207295251384865191691894341829109199397042951078761626889625586558917010807457234988770000896 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (neg.f64 x) y))) |
(if (<=.f64 y #s(literal 1999999999999999867720989669485949124743900432860663037223385644615401293399207295251384865191691894341829109199397042951078761626889625586558917010807457234988770000896 binary64)) (pow.f64 (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x y))) |
(if (<=.f64 y #s(literal 499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))) |
(if (<=.f64 y #s(literal 499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) (pow.f64 (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)) #s(literal -1 binary64))) |
(if (<=.f64 (*.f64 z z) #s(literal 20000000000000000332320709457100266805720535239871327970256129990546078137252710026514902573853139251497244082176191898637596077985558673396359852997433671054025460248400909387429436243536565212333765296128 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* z x)) (* y x)) (*.f64 (*.f64 (*.f64 x z) z) y)))) |
(if (<=.f64 (*.f64 z z) #s(literal 20000000000000000332320709457100266805720535239871327970256129990546078137252710026514902573853139251497244082176191898637596077985558673396359852997433671054025460248400909387429436243536565212333765296128 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) #s(literal -1 binary64)) (pow.f64 #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 (*.f64 (*.f64 x z) z) y)) #s(literal -1 binary64))) |
(if (<=.f64 (*.f64 z z) #s(literal 5000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* z x)) (* y x)) (*.f64 (*.f64 (*.f64 x z) z) y)))) |
(if (<=.f64 (*.f64 z z) #s(literal 5000000000000000 binary64)) (pow.f64 (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1 binary64)) (pow.f64 #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 (*.f64 (*.f64 x z) z) y)) #s(literal -1 binary64))) |
(if (<=.f64 (*.f64 z z) #s(literal 4835703278458517/1208925819614629174706176 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* z x)) (* y x)) (*.f64 (*.f64 (*.f64 x z) z) y)))) |
(if (<=.f64 (*.f64 z z) #s(literal 4835703278458517/1208925819614629174706176 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) (pow.f64 #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 (*.f64 (*.f64 x z) z) y)) #s(literal -1 binary64))) |
(if (<=.f64 (*.f64 z z) #s(literal 4835703278458517/1208925819614629174706176 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x (* y z)) z) (* y x)) (*.f64 (*.f64 (*.f64 z z) x) y)))) |
(if (<=.f64 (*.f64 z z) #s(literal 4835703278458517/1208925819614629174706176 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) (pow.f64 #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 (*.f64 (*.f64 z z) x) y)) #s(literal -1 binary64))) |
(if (<=.f64 (*.f64 z z) #s(literal 4835703278458517/1208925819614629174706176 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x)))) |
(if (<=.f64 (*.f64 z z) #s(literal 4835703278458517/1208925819614629174706176 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal -1 binary64)))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (pow.f64 y #s(literal -1 binary64)) x)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (pow.f64 x #s(literal -1 binary64)) y)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x))) |
(pow.f64 #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 y x)) #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 132 |
| 0 | 52 | 127 |
| 1 | 192 | 123 |
| 2 | 1194 | 123 |
| 0 | 8289 | 123 |
| 0 | 9 | 29 |
| 0 | 14 | 29 |
| 1 | 58 | 29 |
| 2 | 360 | 29 |
| 3 | 2797 | 29 |
| 0 | 9201 | 26 |
| 0 | 102 | 471 |
| 1 | 297 | 468 |
| 2 | 842 | 456 |
| 3 | 2827 | 436 |
| 4 | 7255 | 436 |
| 0 | 8114 | 412 |
| 0 | 85 | 384 |
| 1 | 241 | 379 |
| 2 | 703 | 373 |
| 3 | 2638 | 346 |
| 4 | 7048 | 346 |
| 0 | 8035 | 324 |
| 0 | 52 | 227 |
| 1 | 135 | 225 |
| 2 | 389 | 220 |
| 3 | 1484 | 203 |
| 4 | 4067 | 181 |
| 5 | 7742 | 181 |
| 0 | 8270 | 171 |
| 0 | 102 | 465 |
| 1 | 274 | 459 |
| 2 | 772 | 439 |
| 3 | 3170 | 412 |
| 0 | 8344 | 388 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 054 to 493 computations (53.2% saved)
(abs z)
Compiled 2 258 to 1 164 computations (48.4% saved)
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