
Time bar (total: 10.2s)
| 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 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 9 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 10 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 11 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 5.9s | 8 256× | 0 | valid |
ival-mult: 800.0ms (52.9% of total)ival-add: 426.0ms (28.2% of total)ival-div: 274.0ms (18.1% of total)ival-true: 6.0ms (0.4% of total)ival-assert: 3.0ms (0.2% of total)adjust: 2.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 28 | 0 | - | 3 | (-2.977787475715739e-39 1.6400845749951902e-160 -7.268059539993924e-258) | (/.f64 (*.f64 y y) z) |
| 0 | 0 | - | 0 | - | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 y y) z) | o/n | 10 | 0 |
| ↳ | (*.f64 y y) | overflow | 49 | |
/.f64 | (/.f64 (*.f64 y y) z) | u/n | 1 | 0 |
| ↳ | (*.f64 y y) | underflow | 70 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 11 | 1 |
| - | 0 | 244 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 11 | 0 | 1 |
| - | 0 | 0 | 244 |
| number | freq |
|---|---|
| 0 | 245 |
| 1 | 11 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 30.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-mult: 8.0ms (53.6% of total)ival-div: 4.0ms (26.8% of total)ival-add: 3.0ms (20.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 68 |
| 1 | 70 | 66 |
| 2 | 178 | 66 |
| 3 | 342 | 66 |
| 4 | 585 | 66 |
| 5 | 623 | 66 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 16 | 7 |
| 2 | 36 | 7 |
| 3 | 77 | 7 |
| 4 | 116 | 7 |
| 5 | 132 | 7 |
| 6 | 140 | 7 |
| 0 | 140 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 y y) z)) |
| Outputs |
|---|
(+.f64 x (/.f64 (*.f64 y y) z)) |
(fma.f64 (/.f64 y z) y x) |
(abs y)
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 95.7% | (+.f64 x (/.f64 (*.f64 y y) z)) |
Compiled 7 to 6 computations (14.3% saved)
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 (*.f64 y y) z) | |
| cost-diff | 1 | (+.f64 x (/.f64 (*.f64 y y) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 9 | 18 |
| 1 | 16 | 18 |
| 2 | 36 | 18 |
| 3 | 77 | 18 |
| 4 | 116 | 18 |
| 5 | 132 | 18 |
| 6 | 140 | 18 |
| 0 | 140 | 17 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 y y) z)) |
x |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
| Outputs |
|---|
(+.f64 x (/.f64 (*.f64 y y) z)) |
(fma.f64 (/.f64 y z) y x) |
x |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 x (/.f64 (*.f64 y y) z)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 6.311792865519913 | (/.f64 (*.f64 y y) z) |
| 14.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-div: 2.0ms (38.1% of total)ival-mult: 2.0ms (38.1% of total)ival-add: 1.0ms (19% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
| Outputs |
|---|
(/ (pow y 2) z) |
(+ x (/ (pow y 2) z)) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(pow y 2) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(/ (+ (* x z) (pow y 2)) z) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | ((+ x (/ (* y y) z)) (/ (* y y) z) (* y y)) |
| 1.0ms | y | @ | 0 | ((+ x (/ (* y y) z)) (/ (* y y) z) (* y y)) |
| 1.0ms | y | @ | -inf | ((+ x (/ (* y y) z)) (/ (* y y) z) (* y y)) |
| 1.0ms | z | @ | -inf | ((+ x (/ (* y y) z)) (/ (* y y) z) (* y y)) |
| 1.0ms | x | @ | 0 | ((+ x (/ (* y y) z)) (/ (* y y) z) (* y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 44 |
| 1 | 59 | 44 |
| 2 | 175 | 44 |
| 3 | 664 | 44 |
| 4 | 4361 | 44 |
| 0 | 8268 | 39 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow y 2) z) |
(+ x (/ (pow y 2) z)) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(pow y 2) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(/ (+ (* x z) (pow y 2)) z) |
| Outputs |
|---|
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(+ x (/ (pow y 2) z)) |
(fma.f64 (/.f64 y z) y x) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(fma.f64 (/.f64 y z) y x) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(fma.f64 (/.f64 y z) y x) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(fma.f64 (/.f64 y z) y x) |
(/ (+ (* x z) (pow y 2)) z) |
(fma.f64 (/.f64 y z) y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 34 | 15 |
| 2 | 221 | 15 |
| 3 | 2909 | 15 |
| 0 | 8486 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)) #s(literal 2 binary64))) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x))) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 2 binary64))) (fma.f64 (/.f64 y z) y x)) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))) |
(*.f64 (fma.f64 (/.f64 y z) y x) (/.f64 (fma.f64 (/.f64 y z) y x) (fma.f64 (/.f64 y z) y x))) |
(*.f64 (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)) (/.f64 (fma.f64 (/.f64 y z) y x) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 y z) y x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) y x)) #s(literal 2 binary64)))) (fma.f64 (/.f64 y z) y x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))) #s(literal 2 binary64)))) (fma.f64 (/.f64 y z) y x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 y z) y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) y x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 y z) y x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) y x)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 y z) y x)) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) y x))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 y z) y x)) (*.f64 (fma.f64 (/.f64 y z) y x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)) (*.f64 (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) y x)) (*.f64 (fma.f64 (/.f64 y z) y x) (*.f64 x x))) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)))) (*.f64 (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 y z) y x))) (*.f64 (fma.f64 (/.f64 y z) y x) (/.f64 (pow.f64 y #s(literal 4 binary64)) z))) (*.f64 (fma.f64 (/.f64 y z) y x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 y z) y x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 z (fma.f64 (/.f64 y z) y x))) (*.f64 (fma.f64 (/.f64 y z) y x) (/.f64 (pow.f64 y #s(literal 4 binary64)) z))) (*.f64 (fma.f64 (/.f64 y z) y x) (*.f64 z (fma.f64 (/.f64 y z) y x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 z) z) (fma.f64 (/.f64 y z) y x))) (*.f64 (fma.f64 (/.f64 y z) y x) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (fma.f64 (/.f64 y z) y x) (*.f64 (*.f64 (neg.f64 z) z) (fma.f64 (/.f64 y z) y x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 z z) (fma.f64 (/.f64 y z) y x))) (*.f64 (fma.f64 (/.f64 y z) y x) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (fma.f64 (/.f64 y z) y x) (*.f64 (*.f64 z z) (fma.f64 (/.f64 y z) y x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 y z) y x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) y x)) #s(literal 2 binary64))) (fma.f64 (/.f64 y z) y x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))) #s(literal 2 binary64))) (fma.f64 (/.f64 y z) y x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 y z) y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) y x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 y z) y x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) y x)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 y z) y x)) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) y x)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) (neg.f64 (*.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal 3 binary64))) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))))) |
(/.f64 (neg.f64 (pow.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 6 binary64)))) (neg.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) y x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 6 binary64)))) (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 y z) y x)) (*.f64 (fma.f64 (/.f64 y z) y x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)) (*.f64 (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (pow.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 3 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 6 binary64))) (*.f64 (pow.f64 (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) y x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal 3 binary64))) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)))) |
(/.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) y x)) |
(neg.f64 (fma.f64 (/.f64 y z) y x)) |
(fma.f64 (fabs.f64 (/.f64 y (fabs.f64 z))) y x) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) (/.f64 y z))) (sqrt.f64 (/.f64 y z)) x) |
(fma.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) (sqrt.f64 (/.f64 y z)) x) |
(fma.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) x) |
(fma.f64 (sqrt.f64 (/.f64 (*.f64 y y) z)) (sqrt.f64 (/.f64 (*.f64 y y) z)) x) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) y)) (sqrt.f64 y) x) |
(fma.f64 (exp.f64 (log.f64 (/.f64 y z))) y x) |
(fma.f64 (pow.f64 (/.f64 y z) #s(literal 1 binary64)) y x) |
(fma.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) x) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) y x))) |
(fma.f64 (/.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 2 binary64))) (fma.f64 (/.f64 y z) y x) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) y x))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)) #s(literal 2 binary64))) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x))) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)))) |
(fma.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)) #s(literal 2 binary64))) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)))) |
(fma.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x))) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)))) |
(fma.f64 (/.f64 y (fabs.f64 z)) y x) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) x) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) y)) x) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)))) |
(fma.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3/2 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)))) |
(fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (/.f64 y z) y x)) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) y x))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)))) |
(fma.f64 (/.f64 y z) y x) |
(fma.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 y y) z) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)))) |
(fma.f64 (/.f64 (*.f64 y y) z) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)))) |
(fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64) x) |
(fma.f64 y (fabs.f64 (/.f64 y (fabs.f64 z))) x) |
(fma.f64 y (exp.f64 (log.f64 (/.f64 y z))) x) |
(fma.f64 y (pow.f64 (/.f64 y z) #s(literal 1 binary64)) x) |
(fma.f64 y (/.f64 y (fabs.f64 z)) x) |
(fma.f64 y (/.f64 y z) x) |
(fma.f64 x (/.f64 x (fma.f64 (/.f64 y z) y x)) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) y x))) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) y x)) (/.f64 (*.f64 x x) (fma.f64 (/.f64 y z) y x))) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 y z) y x)) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) y x))) |
(-.f64 (/.f64 (*.f64 y y) z) x) |
(-.f64 x (/.f64 (*.f64 y y) z)) |
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 y (fma.f64 (/.f64 y z) y x)) (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 y z) y x)) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) y x))) |
(+.f64 (neg.f64 x) (/.f64 (*.f64 y y) z)) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+.f64 x (/.f64 (*.f64 y y) z)) |
(*.f64 (fabs.f64 (/.f64 y (fabs.f64 z))) y) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 y y) (/.f64 y z))) (sqrt.f64 (/.f64 y z))) |
(*.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) (sqrt.f64 (/.f64 y z))) |
(*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 y y) z)) (sqrt.f64 (/.f64 (*.f64 y y) z))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) y)) (sqrt.f64 y)) |
(*.f64 (exp.f64 (log.f64 (/.f64 y z))) y) |
(*.f64 (pow.f64 (/.f64 y z) #s(literal 1 binary64)) y) |
(*.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 y (fabs.f64 z)) y) |
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) y))) |
(*.f64 (/.f64 y z) y) |
(*.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64)) |
(*.f64 y (fabs.f64 (/.f64 y (fabs.f64 z)))) |
(*.f64 y (exp.f64 (log.f64 (/.f64 y z)))) |
(*.f64 y (pow.f64 (/.f64 y z) #s(literal 1 binary64))) |
(*.f64 y (/.f64 y (fabs.f64 z))) |
(*.f64 y (/.f64 y z)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z)) (sqrt.f64 (neg.f64 z))) |
(/.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z)) (sqrt.f64 z)) |
(/.f64 (*.f64 y y) (neg.f64 (fabs.f64 z))) |
(/.f64 (*.f64 y y) (fabs.f64 (fabs.f64 z))) |
(/.f64 (*.f64 y y) (sqrt.f64 (*.f64 (neg.f64 z) z))) |
(/.f64 (*.f64 y y) (exp.f64 (log.f64 (neg.f64 z)))) |
(/.f64 (*.f64 y y) (exp.f64 (log.f64 z))) |
(/.f64 (*.f64 y y) (fabs.f64 z)) |
(/.f64 (*.f64 y y) (neg.f64 z)) |
(/.f64 (*.f64 y y) z) |
(neg.f64 (/.f64 (*.f64 y y) z)) |
(sqrt.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))) |
(fabs.f64 (/.f64 (*.f64 y y) z)) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) z)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (/.f64 (*.f64 y y) z))) |
(+.f64 (cosh.f64 (log.f64 (/.f64 (*.f64 y y) z))) (sinh.f64 (log.f64 (/.f64 (*.f64 y y) z)))) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y)) |
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 y y)) |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (/.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
Compiled 3 482 to 399 computations (88.5% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 132 | 6 | 138 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 132 | 7 | 139 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (/.f64 y z) y x) |
| ▶ | 63.6% | (fma.f64 (sqrt.f64 (/.f64 (*.f64 y y) z)) (sqrt.f64 (/.f64 (*.f64 y y) z)) x) |
| 72.0% | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) y)) (sqrt.f64 y) x) | |
| ▶ | 54.5% | (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) (/.f64 y z))) (sqrt.f64 (/.f64 y z)) x) |
| ▶ | 89.5% | (+.f64 x (/.f64 (*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y)) z)) |
| ✓ | 95.7% | (+.f64 x (/.f64 (*.f64 y y) z)) |
| ▶ | 43.0% | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
Compiled 147 to 106 computations (27.9% saved)
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y)) | |
| cost-diff | 0 | (/.f64 (*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y)) z) | |
| cost-diff | 1 | (+.f64 x (/.f64 (*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y)) z)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 (*.f64 y y) z) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 (*.f64 y y) z)) | |
| cost-diff | 8 | (fma.f64 (sqrt.f64 (/.f64 (*.f64 y y) z)) (sqrt.f64 (/.f64 (*.f64 y y) z)) x) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (*.f64 y y) (/.f64 y z))) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) (/.f64 y z))) (sqrt.f64 (/.f64 y z)) x) | |
| cost-diff | 2 | (*.f64 (*.f64 y y) (/.f64 y z)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 (*.f64 y y) z) | |
| cost-diff | 0 | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (fma.f64 (/.f64 y z) y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 148 |
| 0 | 43 | 133 |
| 1 | 65 | 133 |
| 2 | 133 | 133 |
| 3 | 271 | 133 |
| 4 | 417 | 133 |
| 5 | 510 | 133 |
| 6 | 513 | 133 |
| 0 | 513 | 132 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 y z) y x) |
(/.f64 y z) |
y |
z |
x |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) (/.f64 y z))) (sqrt.f64 (/.f64 y z)) x) |
(sqrt.f64 (*.f64 (*.f64 y y) (/.f64 y z))) |
(*.f64 (*.f64 y y) (/.f64 y z)) |
(*.f64 y y) |
y |
(/.f64 y z) |
z |
(sqrt.f64 (/.f64 y z)) |
x |
(fma.f64 (sqrt.f64 (/.f64 (*.f64 y y) z)) (sqrt.f64 (/.f64 (*.f64 y y) z)) x) |
(sqrt.f64 (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
x |
(+.f64 x (/.f64 (*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y)) z)) |
x |
(/.f64 (*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y)) z) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (pow.f64 y #s(literal 3 binary64))) |
(pow.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(sqrt.f64 y) |
z |
| Outputs |
|---|
(fma.f64 (/.f64 y z) y x) |
(/.f64 y z) |
y |
z |
x |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
(/.f64 (*.f64 y y) z) |
(*.f64 (/.f64 y z) y) |
(*.f64 y y) |
y |
z |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) (/.f64 y z))) (sqrt.f64 (/.f64 y z)) x) |
(fma.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) x) |
(sqrt.f64 (*.f64 (*.f64 y y) (/.f64 y z))) |
(sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) |
(*.f64 (*.f64 y y) (/.f64 y z)) |
(/.f64 (pow.f64 y #s(literal 3 binary64)) z) |
(*.f64 y y) |
y |
(/.f64 y z) |
z |
(sqrt.f64 (/.f64 y z)) |
x |
(fma.f64 (sqrt.f64 (/.f64 (*.f64 y y) z)) (sqrt.f64 (/.f64 (*.f64 y y) z)) x) |
(fma.f64 (/.f64 y z) y x) |
(sqrt.f64 (/.f64 (*.f64 y y) z)) |
(sqrt.f64 (*.f64 (/.f64 y z) y)) |
(/.f64 (*.f64 y y) z) |
(*.f64 (/.f64 y z) y) |
(*.f64 y y) |
y |
z |
x |
(+.f64 x (/.f64 (*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y)) z)) |
(fma.f64 (/.f64 (sqrt.f64 y) z) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) x) |
x |
(/.f64 (*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y)) z) |
(*.f64 (/.f64 (sqrt.f64 y) z) (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))) |
(sqrt.f64 (pow.f64 y #s(literal 3 binary64))) |
(pow.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(sqrt.f64 y) |
z |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sqrt.f64 y) | |
| accuracy | 0.06640625 | (*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y)) | |
| accuracy | 4.013855632415344 | (/.f64 (*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y)) z) | |
| accuracy | 11.347877687908014 | (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.05078125 | (fma.f64 (sqrt.f64 (/.f64 (*.f64 y y) z)) (sqrt.f64 (/.f64 (*.f64 y y) z)) x) | |
| accuracy | 4.013855632415344 | (/.f64 (*.f64 y y) z) | |
| accuracy | 12.762694070853668 | (sqrt.f64 (/.f64 (*.f64 y y) z)) | |
| accuracy | 0.03515625 | (fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) (/.f64 y z))) (sqrt.f64 (/.f64 y z)) x) | |
| accuracy | 0.7502743886568317 | (*.f64 (*.f64 y y) (/.f64 y z)) | |
| accuracy | 8.261203279130932 | (sqrt.f64 (/.f64 y z)) | |
| accuracy | 9.865007500133203 | (sqrt.f64 (*.f64 (*.f64 y y) (/.f64 y z))) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 4.013855632415344 | (/.f64 (*.f64 y y) z) | |
| accuracy | 19.338821755466462 | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) | |
| accuracy | 0.0 | (/.f64 y z) | |
| accuracy | 0.0234375 | (fma.f64 (/.f64 y z) y x) |
| 127.0ms | 117× | 0 | invalid |
| 26.0ms | 139× | 0 | valid |
Compiled 147 to 26 computations (82.3% saved)
ival-add: 59.0ms (70% of total)ival-mult: 9.0ms (10.7% of total)ival-sqrt: 8.0ms (9.5% of total)ival-div: 6.0ms (7.1% of total)ival-pow: 3.0ms (3.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 y z) y x) |
(/.f64 y z) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
(*.f64 (*.f64 y y) (/.f64 y z)) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) (/.f64 y z))) (sqrt.f64 (/.f64 y z)) x) |
(sqrt.f64 (*.f64 (*.f64 y y) (/.f64 y z))) |
(fma.f64 (sqrt.f64 (/.f64 (*.f64 y y) z)) (sqrt.f64 (/.f64 (*.f64 y y) z)) x) |
(sqrt.f64 (/.f64 (*.f64 y y) z)) |
(+.f64 x (/.f64 (*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y)) z)) |
(/.f64 (*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y)) z) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (pow.f64 y #s(literal 3 binary64))) |
(sqrt.f64 (/.f64 y z)) |
(sqrt.f64 y) |
| Outputs |
|---|
(/ (pow y 2) z) |
(+ x (/ (pow y 2) z)) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(/ y z) |
(pow y 2) |
(/ (pow y 3) z) |
(sqrt (/ (pow y 3) z)) |
(* y (sqrt (/ 1 z))) |
(sqrt (pow y 3)) |
(sqrt (/ y z)) |
(sqrt y) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(/ (* (pow y 2) (pow (sqrt -1) 2)) z) |
(* (pow y 2) (+ (/ x (pow y 2)) (/ (pow (sqrt -1) 2) z))) |
(* (sqrt (/ (pow y 3) z)) (pow (sqrt -1) 2)) |
(* -1 (* y (sqrt (/ 1 z)))) |
(* (pow y 2) (pow (sqrt -1) 2)) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt (/ y z)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(/ (+ (* x z) (pow y 2)) z) |
(+ x (* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) z))) |
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) |
(* (sqrt (/ y z)) (pow (sqrt -1) 2)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | 0 | ((+ (* (/ y z) y) x) (/ y z) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (* (* y y) (/ y z)) (+ (* (sqrt (* (* y y) (/ y z))) (sqrt (/ y z))) x) (sqrt (* (* y y) (/ y z))) (+ (* (sqrt (/ (* y y) z)) (sqrt (/ (* y y) z))) x) (sqrt (/ (* y y) z)) (+ x (/ (* (sqrt (pow y 3)) (sqrt y)) z)) (/ (* (sqrt (pow y 3)) (sqrt y)) z) (* (sqrt (pow y 3)) (sqrt y)) (sqrt (pow y 3)) (sqrt (/ y z)) (sqrt y)) |
| 6.0ms | z | @ | -inf | ((+ (* (/ y z) y) x) (/ y z) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (* (* y y) (/ y z)) (+ (* (sqrt (* (* y y) (/ y z))) (sqrt (/ y z))) x) (sqrt (* (* y y) (/ y z))) (+ (* (sqrt (/ (* y y) z)) (sqrt (/ (* y y) z))) x) (sqrt (/ (* y y) z)) (+ x (/ (* (sqrt (pow y 3)) (sqrt y)) z)) (/ (* (sqrt (pow y 3)) (sqrt y)) z) (* (sqrt (pow y 3)) (sqrt y)) (sqrt (pow y 3)) (sqrt (/ y z)) (sqrt y)) |
| 5.0ms | y | @ | -inf | ((+ (* (/ y z) y) x) (/ y z) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (* (* y y) (/ y z)) (+ (* (sqrt (* (* y y) (/ y z))) (sqrt (/ y z))) x) (sqrt (* (* y y) (/ y z))) (+ (* (sqrt (/ (* y y) z)) (sqrt (/ (* y y) z))) x) (sqrt (/ (* y y) z)) (+ x (/ (* (sqrt (pow y 3)) (sqrt y)) z)) (/ (* (sqrt (pow y 3)) (sqrt y)) z) (* (sqrt (pow y 3)) (sqrt y)) (sqrt (pow y 3)) (sqrt (/ y z)) (sqrt y)) |
| 3.0ms | z | @ | 0 | ((+ (* (/ y z) y) x) (/ y z) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (* (* y y) (/ y z)) (+ (* (sqrt (* (* y y) (/ y z))) (sqrt (/ y z))) x) (sqrt (* (* y y) (/ y z))) (+ (* (sqrt (/ (* y y) z)) (sqrt (/ (* y y) z))) x) (sqrt (/ (* y y) z)) (+ x (/ (* (sqrt (pow y 3)) (sqrt y)) z)) (/ (* (sqrt (pow y 3)) (sqrt y)) z) (* (sqrt (pow y 3)) (sqrt y)) (sqrt (pow y 3)) (sqrt (/ y z)) (sqrt y)) |
| 3.0ms | y | @ | inf | ((+ (* (/ y z) y) x) (/ y z) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (* (* y y) (/ y z)) (+ (* (sqrt (* (* y y) (/ y z))) (sqrt (/ y z))) x) (sqrt (* (* y y) (/ y z))) (+ (* (sqrt (/ (* y y) z)) (sqrt (/ (* y y) z))) x) (sqrt (/ (* y y) z)) (+ x (/ (* (sqrt (pow y 3)) (sqrt y)) z)) (/ (* (sqrt (pow y 3)) (sqrt y)) z) (* (sqrt (pow y 3)) (sqrt y)) (sqrt (pow y 3)) (sqrt (/ y z)) (sqrt y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 180 |
| 1 | 127 | 159 |
| 2 | 387 | 157 |
| 0 | 1606 | 152 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(/ (pow y 2) z) |
(+ x (/ (pow y 2) z)) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(/ y z) |
(pow y 2) |
(/ (pow y 3) z) |
(sqrt (/ (pow y 3) z)) |
(* y (sqrt (/ 1 z))) |
(sqrt (pow y 3)) |
(sqrt (/ y z)) |
(sqrt y) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(/ (* (pow y 2) (pow (sqrt -1) 2)) z) |
(* (pow y 2) (+ (/ x (pow y 2)) (/ (pow (sqrt -1) 2) z))) |
(* (sqrt (/ (pow y 3) z)) (pow (sqrt -1) 2)) |
(* -1 (* y (sqrt (/ 1 z)))) |
(* (pow y 2) (pow (sqrt -1) 2)) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt (/ y z)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(/ (+ (* x z) (pow y 2)) z) |
(+ x (* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) z))) |
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) |
(* (sqrt (/ y z)) (pow (sqrt -1) 2)) |
| Outputs |
|---|
(/ (pow y 2) z) |
(*.f64 (/.f64 y z) y) |
(+ x (/ (pow y 2) z)) |
(fma.f64 (/.f64 y z) y x) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(fma.f64 (/.f64 x z) (/.f64 (*.f64 y y) x) x) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y z) #s(literal -1 binary64))) |
(/ y z) |
(/.f64 y z) |
(pow y 2) |
(*.f64 y y) |
(/ (pow y 3) z) |
(/.f64 (pow.f64 y #s(literal 3 binary64)) z) |
(sqrt (/ (pow y 3) z)) |
(sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) |
(* y (sqrt (/ 1 z))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) |
(sqrt (pow y 3)) |
(sqrt.f64 (pow.f64 y #s(literal 3 binary64))) |
(sqrt (/ y z)) |
(sqrt.f64 (/.f64 y z)) |
(sqrt y) |
(sqrt.f64 y) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) y) y) |
(/ (* (pow y 2) (pow (sqrt -1) 2)) z) |
(*.f64 (/.f64 (neg.f64 y) z) y) |
(* (pow y 2) (+ (/ x (pow y 2)) (/ (pow (sqrt -1) 2) z))) |
(*.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) (*.f64 y y)) |
(* (sqrt (/ (pow y 3) z)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z))) |
(* -1 (* y (sqrt (/ 1 z)))) |
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(* (pow y 2) (pow (sqrt -1) 2)) |
(*.f64 (neg.f64 y) y) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))) |
(* -1 (* (sqrt (/ y z)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 y z)) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(/ (+ (* x z) (pow y 2)) z) |
(fma.f64 (/.f64 y z) y x) |
(+ x (* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) z))) |
(fma.f64 (/.f64 y z) y x) |
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) |
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(* (sqrt (/ y z)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 y z))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 116 |
| 0 | 43 | 81 |
| 1 | 150 | 80 |
| 0 | 973 | 80 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 y z) y x) |
(/.f64 y z) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
(*.f64 (*.f64 y y) (/.f64 y z)) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) (/.f64 y z))) (sqrt.f64 (/.f64 y z)) x) |
(sqrt.f64 (*.f64 (*.f64 y y) (/.f64 y z))) |
(fma.f64 (sqrt.f64 (/.f64 (*.f64 y y) z)) (sqrt.f64 (/.f64 (*.f64 y y) z)) x) |
(sqrt.f64 (/.f64 (*.f64 y y) z)) |
(+.f64 x (/.f64 (*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y)) z)) |
(/.f64 (*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y)) z) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y)) |
(sqrt.f64 (pow.f64 y #s(literal 3 binary64))) |
(sqrt.f64 (/.f64 y z)) |
(sqrt.f64 y) |
| Outputs |
|---|
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (/.f64 y z) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (/.f64 y z) y) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 y z) y)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 y z) y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (/.f64 y z) y) x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 y z) y)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z)))) (neg.f64 (neg.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z)))) x) |
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) z) x) |
(fma.f64 (fabs.f64 y) (*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z))) x) |
(fma.f64 (/.f64 (sqrt.f64 y) z) (pow.f64 y #s(literal 3/2 binary64)) x) |
(fma.f64 (neg.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z))) (neg.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z))) x) |
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) z) x) |
(fma.f64 (sqrt.f64 y) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) z) x) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 y) z) x) |
(fma.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z)) (/.f64 (fabs.f64 y) (sqrt.f64 z)) x) |
(fma.f64 (sqrt.f64 (/.f64 y z)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 z)) x) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 z)) (sqrt.f64 (/.f64 y z)) x) |
(fma.f64 (/.f64 y z) y x) |
(fma.f64 y (/.f64 y z) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y z) y))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 y z) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y z) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x))) |
(-.f64 x (*.f64 (neg.f64 (sqrt.f64 (/.f64 y z))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 z)))) |
(-.f64 x (*.f64 (neg.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 z))) (sqrt.f64 (/.f64 y z)))) |
(-.f64 x (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (sqrt.f64 y) z))) |
(-.f64 x (*.f64 (neg.f64 (neg.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z)))) (neg.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z))))) |
(-.f64 x (*.f64 (neg.f64 (/.f64 y z)) y)) |
(-.f64 x (*.f64 (neg.f64 y) (/.f64 y z))) |
(-.f64 x (*.f64 (neg.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z))) (/.f64 (fabs.f64 y) (sqrt.f64 z)))) |
(-.f64 x (*.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z)) (neg.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y z) y)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y z) y)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 y z) y) x) |
(+.f64 x (*.f64 (/.f64 y z) y)) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 y z) |
(neg.f64 (/.f64 (neg.f64 y) z)) |
(neg.f64 (/.f64 y (neg.f64 z))) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
(*.f64 (neg.f64 (neg.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z)))) (neg.f64 (neg.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z))))) |
(*.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) z)) |
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(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 y z) y)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z)))) (neg.f64 (neg.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z)))) x) |
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) z) x) |
(fma.f64 (fabs.f64 y) (*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z))) x) |
(fma.f64 (/.f64 (sqrt.f64 y) z) (pow.f64 y #s(literal 3/2 binary64)) x) |
(fma.f64 (neg.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z))) (neg.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z))) x) |
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) z) x) |
(fma.f64 (sqrt.f64 y) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) z) x) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 y) z) x) |
(fma.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z)) (/.f64 (fabs.f64 y) (sqrt.f64 z)) x) |
(fma.f64 (sqrt.f64 (/.f64 y z)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 z)) x) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 z)) (sqrt.f64 (/.f64 y z)) x) |
(fma.f64 (/.f64 y z) y x) |
(fma.f64 y (/.f64 y z) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y z) y))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 y z) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y z) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x))) |
(-.f64 x (*.f64 (neg.f64 (sqrt.f64 (/.f64 y z))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 z)))) |
(-.f64 x (*.f64 (neg.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 z))) (sqrt.f64 (/.f64 y z)))) |
(-.f64 x (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (sqrt.f64 y) z))) |
(-.f64 x (*.f64 (neg.f64 (neg.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z)))) (neg.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z))))) |
(-.f64 x (*.f64 (neg.f64 (/.f64 y z)) y)) |
(-.f64 x (*.f64 (neg.f64 y) (/.f64 y z))) |
(-.f64 x (*.f64 (neg.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z))) (/.f64 (fabs.f64 y) (sqrt.f64 z)))) |
(-.f64 x (*.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z)) (neg.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y z) y)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y z) y)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 y z) y) x) |
(+.f64 x (*.f64 (/.f64 y z) y)) |
(*.f64 (neg.f64 (neg.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z)))) (neg.f64 (neg.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z))))) |
(*.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) z)) |
(*.f64 (fabs.f64 y) (*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)))) |
(*.f64 (/.f64 (sqrt.f64 y) z) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (neg.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z))) (neg.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z)))) |
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) z)) |
(*.f64 (sqrt.f64 y) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) z)) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 y) z)) |
(*.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z)) (/.f64 (fabs.f64 y) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 (/.f64 y z)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 z))) |
(*.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 z)) (sqrt.f64 (/.f64 y z))) |
(*.f64 (/.f64 y z) y) |
(*.f64 y (/.f64 y z)) |
(pow.f64 (neg.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 y z) y) #s(literal 1 binary64)) |
(/.f64 (*.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) (sqrt.f64 z))) (sqrt.f64 z)) |
(/.f64 (*.f64 (sqrt.f64 y) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 z))) (sqrt.f64 z)) |
(/.f64 (*.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z)) (fabs.f64 y)) (sqrt.f64 z)) |
(/.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 z)) (sqrt.f64 y)) (sqrt.f64 z)) |
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z)) |
(/.f64 (*.f64 y y) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 y y) (*.f64 (sqrt.f64 z) (sqrt.f64 z))) |
(/.f64 (*.f64 y y) z) |
(neg.f64 (/.f64 (*.f64 (neg.f64 y) y) z)) |
(neg.f64 (/.f64 (*.f64 y y) (neg.f64 z))) |
(neg.f64 (*.f64 (neg.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z))) (/.f64 (fabs.f64 y) (sqrt.f64 z)))) |
(neg.f64 (*.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z)) (neg.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z))))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 (/.f64 y z) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fabs.f64 y) (sqrt.f64 z))) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y))) |
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))) |
(*.f64 (fabs.f64 y) (fabs.f64 y)) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y)) |
(*.f64 y y) |
(pow.f64 (fabs.f64 y) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (pow.f64 y #s(literal 3/4 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 y) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) (fabs.f64 y)) |
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 y #s(literal 3/2 binary64)) |
(sqrt.f64 (pow.f64 y #s(literal 3 binary64))) |
(fabs.f64 (pow.f64 y #s(literal 3/2 binary64))) |
(exp.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (/.f64 y z) #s(literal 1/4 binary64)) (pow.f64 (/.f64 y z) #s(literal 1/4 binary64))) |
(pow.f64 (/.f64 y z) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 z))) |
(/.f64 (sqrt.f64 y) (sqrt.f64 z)) |
(sqrt.f64 (/.f64 y z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) |
(pow.f64 y #s(literal 1/2 binary64)) |
(sqrt.f64 y) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64))) |
Compiled 5 307 to 754 computations (85.8% saved)
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 312 | 8 | 320 |
| Fresh | 1 | 0 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 316 | 11 | 327 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (/.f64 y z) y x) |
| ▶ | 58.9% | (fma.f64 (*.f64 (sqrt.f64 (/.f64 y z)) (fabs.f64 y)) (sqrt.f64 (/.f64 y z)) x) |
| ▶ | 95.6% | (+.f64 x (/.f64 (*.f64 (*.f64 (sqrt.f64 y) (fabs.f64 y)) (sqrt.f64 y)) z)) |
| ✓ | 95.7% | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 80.6% | #s(approx (+ (* (/ y z) y) x) (fma.f64 (/.f64 x z) (/.f64 (*.f64 y y) x) x)) | |
| ▶ | 46.2% | #s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) |
| 65.6% | #s(approx (+ (* (/ y z) y) x) (*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) y) y)) | |
| ▶ | 93.2% | #s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y z) #s(literal -1 binary64)))) |
| ✓ | 43.0% | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
| ▶ | 44.7% | #s(approx (+ x (/ (* y y) z)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 y) z))) |
| 44.7% | #s(approx (+ x (/ (* y y) z)) (*.f64 (sqrt.f64 y) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) z))) |
Compiled 284 to 198 computations (30.3% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (sqrt.f64 y) z) | |
| cost-diff | 0 | (pow.f64 y #s(literal 3/2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 y) z)) | |
| cost-diff | 0 | #s(approx (+ x (/ (* y y) z)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 y) z))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 y z)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 y z)) (fabs.f64 y)) | |
| cost-diff | 1 | (fabs.f64 y) | |
| cost-diff | 6 | (fma.f64 (*.f64 (sqrt.f64 (/.f64 y z)) (fabs.f64 y)) (sqrt.f64 (/.f64 y z)) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y z) #s(literal -1 binary64)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y z) #s(literal -1 binary64)))) | |
| cost-diff | 6 | (*.f64 (neg.f64 x) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y z) #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (*.f64 (/.f64 y z) y) | |
| cost-diff | 0 | #s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 (sqrt.f64 y) (fabs.f64 y)) (sqrt.f64 y)) z) | |
| cost-diff | 1 | (fabs.f64 y) | |
| cost-diff | 1 | (+.f64 x (/.f64 (*.f64 (*.f64 (sqrt.f64 y) (fabs.f64 y)) (sqrt.f64 y)) z)) | |
| cost-diff | 4 | (*.f64 (*.f64 (sqrt.f64 y) (fabs.f64 y)) (sqrt.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 189 |
| 0 | 54 | 191 |
| 1 | 89 | 191 |
| 2 | 201 | 166 |
| 3 | 533 | 158 |
| 4 | 2169 | 154 |
| 5 | 4628 | 154 |
| 0 | 8408 | 147 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 (*.f64 (sqrt.f64 y) (fabs.f64 y)) (sqrt.f64 y)) z)) |
x |
(/.f64 (*.f64 (*.f64 (sqrt.f64 y) (fabs.f64 y)) (sqrt.f64 y)) z) |
(*.f64 (*.f64 (sqrt.f64 y) (fabs.f64 y)) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) (fabs.f64 y)) |
(sqrt.f64 y) |
y |
(fabs.f64 y) |
z |
#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) y) |
(/.f64 y z) |
y |
z |
#s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y z) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y z) #s(literal -1 binary64))) |
(neg.f64 x) |
x |
(fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y z) #s(literal -1 binary64)) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
(/.f64 y z) |
z |
#s(literal -1 binary64) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 y z)) (fabs.f64 y)) (sqrt.f64 (/.f64 y z)) x) |
(*.f64 (sqrt.f64 (/.f64 y z)) (fabs.f64 y)) |
(sqrt.f64 (/.f64 y z)) |
(/.f64 y z) |
y |
z |
(fabs.f64 y) |
x |
#s(approx (+ x (/ (* y y) z)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 y) z))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 y) z)) |
(pow.f64 y #s(literal 3/2 binary64)) |
y |
#s(literal 3/2 binary64) |
(/.f64 (sqrt.f64 y) z) |
(sqrt.f64 y) |
z |
| Outputs |
|---|
(+.f64 x (/.f64 (*.f64 (*.f64 (sqrt.f64 y) (fabs.f64 y)) (sqrt.f64 y)) z)) |
(fma.f64 (/.f64 y z) y x) |
x |
(/.f64 (*.f64 (*.f64 (sqrt.f64 y) (fabs.f64 y)) (sqrt.f64 y)) z) |
(*.f64 (/.f64 y z) y) |
(*.f64 (*.f64 (sqrt.f64 y) (fabs.f64 y)) (sqrt.f64 y)) |
(*.f64 y y) |
(*.f64 (sqrt.f64 y) (fabs.f64 y)) |
(*.f64 (sqrt.f64 y) y) |
(sqrt.f64 y) |
y |
(fabs.f64 y) |
y |
z |
#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) y) |
(/.f64 y z) |
y |
z |
#s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y z) #s(literal -1 binary64)))) |
#s(approx (+ (* (/ y z) y) x) (fma.f64 (/.f64 y z) y x)) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y z) #s(literal -1 binary64))) |
(fma.f64 (/.f64 y z) y x) |
(neg.f64 x) |
x |
(fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y z) #s(literal -1 binary64)) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
(/.f64 y z) |
z |
#s(literal -1 binary64) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 y z)) (fabs.f64 y)) (sqrt.f64 (/.f64 y z)) x) |
(fma.f64 (/.f64 y z) y x) |
(*.f64 (sqrt.f64 (/.f64 y z)) (fabs.f64 y)) |
(*.f64 (sqrt.f64 (/.f64 y z)) y) |
(sqrt.f64 (/.f64 y z)) |
(/.f64 y z) |
y |
z |
(fabs.f64 y) |
y |
x |
#s(approx (+ x (/ (* y y) z)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 y) z))) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) z) (sqrt.f64 y))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 y) z)) |
(*.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) z) (sqrt.f64 y)) |
(pow.f64 y #s(literal 3/2 binary64)) |
y |
#s(literal 3/2 binary64) |
(/.f64 (sqrt.f64 y) z) |
(sqrt.f64 y) |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (pow.f64 y #s(literal 3/2 binary64)) | |
| accuracy | 0.10546875 | (/.f64 (sqrt.f64 y) z) | |
| accuracy | 1.0386505777222852 | (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 y) z)) | |
| accuracy | 19.338821755466462 | #s(approx (+ x (/ (* y y) z)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 y) z))) | |
| accuracy | 0.0 | (fabs.f64 y) | |
| accuracy | 0.03515625 | (fma.f64 (*.f64 (sqrt.f64 (/.f64 y z)) (fabs.f64 y)) (sqrt.f64 (/.f64 y z)) x) | |
| accuracy | 0.09765625 | (*.f64 (sqrt.f64 (/.f64 y z)) (fabs.f64 y)) | |
| accuracy | 8.261203279130932 | (sqrt.f64 (/.f64 y z)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.0 | #s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y z) #s(literal -1 binary64)))) | |
| accuracy | 1.1904353692406928 | (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y z) #s(literal -1 binary64)) | |
| accuracy | 1.6606500212593933 | (*.f64 (neg.f64 x) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y z) #s(literal -1 binary64))) | |
| accuracy | 0.0 | (/.f64 y z) | |
| accuracy | 0.0546875 | (*.f64 (/.f64 y z) y) | |
| accuracy | 19.338821755466462 | #s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) | |
| accuracy | 0.0 | (fabs.f64 y) | |
| accuracy | 0.06640625 | (*.f64 (*.f64 (sqrt.f64 y) (fabs.f64 y)) (sqrt.f64 y)) | |
| accuracy | 0.1015625 | (*.f64 (sqrt.f64 y) (fabs.f64 y)) | |
| accuracy | 4.013855632415344 | (/.f64 (*.f64 (*.f64 (sqrt.f64 y) (fabs.f64 y)) (sqrt.f64 y)) z) |
| 35.0ms | 139× | 0 | valid |
| 33.0ms | 117× | 0 | invalid |
Compiled 166 to 32 computations (80.7% saved)
ival-mult: 13.0ms (28.8% of total)ival-div: 12.0ms (26.6% of total)ival-pow: 7.0ms (15.5% of total)ival-add: 6.0ms (13.3% of total)ival-sqrt: 4.0ms (8.9% of total)ival-neg: 2.0ms (4.4% of total)ival-fabs: 1.0ms (2.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (sqrt.f64 y) (fabs.f64 y)) (sqrt.f64 y)) |
(+.f64 x (/.f64 (*.f64 (*.f64 (sqrt.f64 y) (fabs.f64 y)) (sqrt.f64 y)) z)) |
(fabs.f64 y) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 y) (fabs.f64 y)) (sqrt.f64 y)) z) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) y) |
(/.f64 y z) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y z) #s(literal -1 binary64))) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y z) #s(literal -1 binary64)))) |
(neg.f64 x) |
(fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y z) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 y z)) (fabs.f64 y)) (sqrt.f64 (/.f64 y z)) x) |
(*.f64 (sqrt.f64 (/.f64 y z)) (fabs.f64 y)) |
(sqrt.f64 (/.f64 y z)) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 y) z))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 y) z)) |
(pow.f64 y #s(literal 3/2 binary64)) |
(/.f64 (sqrt.f64 y) z) |
(*.f64 (sqrt.f64 y) (fabs.f64 y)) |
| Outputs |
|---|
(/ (* y (fabs y)) z) |
(+ x (/ (* y (fabs y)) z)) |
(/ (pow y 2) z) |
(+ x (/ (pow y 2) z)) |
(* -1 x) |
(* -1 (/ (pow y 2) (* x z))) |
(/ (+ (* -1 x) (* -1 (/ (pow y 2) z))) x) |
x |
(* x (+ 1 (/ (* y (fabs y)) (* x z)))) |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
-1 |
(- (* -1 (/ (pow y 2) (* x z))) 1) |
(* -1 (* x (- (* -1 (/ (* y (fabs y)) (* x z))) 1))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(* y (fabs y)) |
(fabs y) |
(/ y z) |
(* (sqrt (/ y z)) (fabs y)) |
(sqrt (/ y z)) |
(sqrt (pow y 3)) |
(* (sqrt y) (/ 1 z)) |
(* (sqrt y) (fabs y)) |
(* y (+ (/ x y) (/ (fabs y) z))) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(* -1 (* (pow y 2) (+ (/ 1 (* x z)) (/ 1 (pow y 2))))) |
(* -1 (* y (* (fabs y) (pow (sqrt -1) 2)))) |
(* -1 (/ (* y (* (fabs y) (pow (sqrt -1) 2))) z)) |
(* -1 (* y (+ (* -1 (/ x y)) (/ (* (fabs y) (pow (sqrt -1) 2)) z)))) |
(* -1 (* (sqrt (/ y z)) (* (fabs y) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt (/ y z)) (pow (sqrt -1) 2))) |
(/ (* (pow y 2) (pow (sqrt -1) 2)) z) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt y) (/ (pow (sqrt -1) 2) z))) |
(* -1 (* (sqrt y) (* (fabs y) (pow (sqrt -1) 2)))) |
(/ (+ (* x z) (* y (fabs y))) z) |
(/ (+ (* x z) (pow y 2)) z) |
(/ (+ (* -1 z) (* -1 (/ (pow y 2) x))) z) |
(+ x (* -1 (/ (* y (* (fabs y) (pow (sqrt -1) 2))) z))) |
(* (sqrt (/ y z)) (* (fabs y) (pow (sqrt -1) 2))) |
(* (sqrt (/ y z)) (pow (sqrt -1) 2)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | 0 | ((* (* (sqrt y) (fabs y)) (sqrt y)) (+ x (/ (* (* (sqrt y) (fabs y)) (sqrt y)) z)) (fabs y) (/ (* (* (sqrt y) (fabs y)) (sqrt y)) z) (+ (* (/ y z) y) x) (* (/ y z) y) (/ y z) (* (neg x) (+ (* (/ (neg y) x) (/ y z)) -1)) (+ (* (/ y z) y) x) (neg x) (+ (* (/ (neg y) x) (/ y z)) -1) (+ (* (* (sqrt (/ y z)) (fabs y)) (sqrt (/ y z))) x) (* (sqrt (/ y z)) (fabs y)) (sqrt (/ y z)) (+ x (/ (* y y) z)) (* (pow y 3/2) (/ (sqrt y) z)) (pow y 3/2) (/ (sqrt y) z) (* (sqrt y) (fabs y))) |
| 6.0ms | y | @ | -inf | ((* (* (sqrt y) (fabs y)) (sqrt y)) (+ x (/ (* (* (sqrt y) (fabs y)) (sqrt y)) z)) (fabs y) (/ (* (* (sqrt y) (fabs y)) (sqrt y)) z) (+ (* (/ y z) y) x) (* (/ y z) y) (/ y z) (* (neg x) (+ (* (/ (neg y) x) (/ y z)) -1)) (+ (* (/ y z) y) x) (neg x) (+ (* (/ (neg y) x) (/ y z)) -1) (+ (* (* (sqrt (/ y z)) (fabs y)) (sqrt (/ y z))) x) (* (sqrt (/ y z)) (fabs y)) (sqrt (/ y z)) (+ x (/ (* y y) z)) (* (pow y 3/2) (/ (sqrt y) z)) (pow y 3/2) (/ (sqrt y) z) (* (sqrt y) (fabs y))) |
| 5.0ms | z | @ | inf | ((* (* (sqrt y) (fabs y)) (sqrt y)) (+ x (/ (* (* (sqrt y) (fabs y)) (sqrt y)) z)) (fabs y) (/ (* (* (sqrt y) (fabs y)) (sqrt y)) z) (+ (* (/ y z) y) x) (* (/ y z) y) (/ y z) (* (neg x) (+ (* (/ (neg y) x) (/ y z)) -1)) (+ (* (/ y z) y) x) (neg x) (+ (* (/ (neg y) x) (/ y z)) -1) (+ (* (* (sqrt (/ y z)) (fabs y)) (sqrt (/ y z))) x) (* (sqrt (/ y z)) (fabs y)) (sqrt (/ y z)) (+ x (/ (* y y) z)) (* (pow y 3/2) (/ (sqrt y) z)) (pow y 3/2) (/ (sqrt y) z) (* (sqrt y) (fabs y))) |
| 4.0ms | z | @ | -inf | ((* (* (sqrt y) (fabs y)) (sqrt y)) (+ x (/ (* (* (sqrt y) (fabs y)) (sqrt y)) z)) (fabs y) (/ (* (* (sqrt y) (fabs y)) (sqrt y)) z) (+ (* (/ y z) y) x) (* (/ y z) y) (/ y z) (* (neg x) (+ (* (/ (neg y) x) (/ y z)) -1)) (+ (* (/ y z) y) x) (neg x) (+ (* (/ (neg y) x) (/ y z)) -1) (+ (* (* (sqrt (/ y z)) (fabs y)) (sqrt (/ y z))) x) (* (sqrt (/ y z)) (fabs y)) (sqrt (/ y z)) (+ x (/ (* y y) z)) (* (pow y 3/2) (/ (sqrt y) z)) (pow y 3/2) (/ (sqrt y) z) (* (sqrt y) (fabs y))) |
| 4.0ms | y | @ | inf | ((* (* (sqrt y) (fabs y)) (sqrt y)) (+ x (/ (* (* (sqrt y) (fabs y)) (sqrt y)) z)) (fabs y) (/ (* (* (sqrt y) (fabs y)) (sqrt y)) z) (+ (* (/ y z) y) x) (* (/ y z) y) (/ y z) (* (neg x) (+ (* (/ (neg y) x) (/ y z)) -1)) (+ (* (/ y z) y) x) (neg x) (+ (* (/ (neg y) x) (/ y z)) -1) (+ (* (* (sqrt (/ y z)) (fabs y)) (sqrt (/ y z))) x) (* (sqrt (/ y z)) (fabs y)) (sqrt (/ y z)) (+ x (/ (* y y) z)) (* (pow y 3/2) (/ (sqrt y) z)) (pow y 3/2) (/ (sqrt y) z) (* (sqrt y) (fabs y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 281 |
| 1 | 260 | 258 |
| 2 | 906 | 252 |
| 0 | 4243 | 243 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* y (fabs y)) z) |
(+ x (/ (* y (fabs y)) z)) |
(/ (pow y 2) z) |
(+ x (/ (pow y 2) z)) |
(* -1 x) |
(* -1 (/ (pow y 2) (* x z))) |
(/ (+ (* -1 x) (* -1 (/ (pow y 2) z))) x) |
x |
(* x (+ 1 (/ (* y (fabs y)) (* x z)))) |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
-1 |
(- (* -1 (/ (pow y 2) (* x z))) 1) |
(* -1 (* x (- (* -1 (/ (* y (fabs y)) (* x z))) 1))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(* y (fabs y)) |
(fabs y) |
(/ y z) |
(* (sqrt (/ y z)) (fabs y)) |
(sqrt (/ y z)) |
(sqrt (pow y 3)) |
(* (sqrt y) (/ 1 z)) |
(* (sqrt y) (fabs y)) |
(* y (+ (/ x y) (/ (fabs y) z))) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(* -1 (* (pow y 2) (+ (/ 1 (* x z)) (/ 1 (pow y 2))))) |
(* -1 (* y (* (fabs y) (pow (sqrt -1) 2)))) |
(* -1 (/ (* y (* (fabs y) (pow (sqrt -1) 2))) z)) |
(* -1 (* y (+ (* -1 (/ x y)) (/ (* (fabs y) (pow (sqrt -1) 2)) z)))) |
(* -1 (* (sqrt (/ y z)) (* (fabs y) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt (/ y z)) (pow (sqrt -1) 2))) |
(/ (* (pow y 2) (pow (sqrt -1) 2)) z) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt y) (/ (pow (sqrt -1) 2) z))) |
(* -1 (* (sqrt y) (* (fabs y) (pow (sqrt -1) 2)))) |
(/ (+ (* x z) (* y (fabs y))) z) |
(/ (+ (* x z) (pow y 2)) z) |
(/ (+ (* -1 z) (* -1 (/ (pow y 2) x))) z) |
(+ x (* -1 (/ (* y (* (fabs y) (pow (sqrt -1) 2))) z))) |
(* (sqrt (/ y z)) (* (fabs y) (pow (sqrt -1) 2))) |
(* (sqrt (/ y z)) (pow (sqrt -1) 2)) |
| Outputs |
|---|
(/ (* y (fabs y)) z) |
(*.f64 (/.f64 (fabs.f64 y) z) y) |
(+ x (/ (* y (fabs y)) z)) |
(fma.f64 (/.f64 (fabs.f64 y) z) y x) |
(/ (pow y 2) z) |
(*.f64 (/.f64 y z) y) |
(+ x (/ (pow y 2) z)) |
(fma.f64 (/.f64 y z) y x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (/ (pow y 2) (* x z))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) |
(/ (+ (* -1 x) (* -1 (/ (pow y 2) z))) x) |
(/.f64 (neg.f64 (fma.f64 (/.f64 y z) y x)) x) |
x |
(* x (+ 1 (/ (* y (fabs y)) (* x z)))) |
(fma.f64 (/.f64 (fabs.f64 y) z) y x) |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(fma.f64 (/.f64 y z) y x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (pow y 2) (* x z))) 1) |
(/.f64 (neg.f64 (fma.f64 (/.f64 y z) y x)) x) |
(* -1 (* x (- (* -1 (/ (* y (fabs y)) (* x z))) 1))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 y) z) (/.f64 (fabs.f64 y) x) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 y z) y x)) x) (neg.f64 x)) |
(* y (fabs y)) |
(*.f64 (fabs.f64 y) y) |
(fabs y) |
(fabs.f64 y) |
(/ y z) |
(/.f64 y z) |
(* (sqrt (/ y z)) (fabs y)) |
(*.f64 (sqrt.f64 (/.f64 y z)) (fabs.f64 y)) |
(sqrt (/ y z)) |
(sqrt.f64 (/.f64 y z)) |
(sqrt (pow y 3)) |
(sqrt.f64 (pow.f64 y #s(literal 3 binary64))) |
(* (sqrt y) (/ 1 z)) |
(/.f64 (sqrt.f64 y) z) |
(* (sqrt y) (fabs y)) |
(*.f64 (sqrt.f64 y) (fabs.f64 y)) |
(* y (+ (/ x y) (/ (fabs y) z))) |
(*.f64 (+.f64 (/.f64 (fabs.f64 y) z) (/.f64 x y)) y) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(fma.f64 (/.f64 y z) y x) |
(* -1 (* (pow y 2) (+ (/ 1 (* x z)) (/ 1 (pow y 2))))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 y z) y x)) x) |
(* -1 (* y (* (fabs y) (pow (sqrt -1) 2)))) |
(*.f64 (fabs.f64 y) y) |
(* -1 (/ (* y (* (fabs y) (pow (sqrt -1) 2))) z)) |
(*.f64 (/.f64 (fabs.f64 y) z) y) |
(* -1 (* y (+ (* -1 (/ x y)) (/ (* (fabs y) (pow (sqrt -1) 2)) z)))) |
(*.f64 (+.f64 (/.f64 (fabs.f64 y) z) (/.f64 x y)) y) |
(* -1 (* (sqrt (/ y z)) (* (fabs y) (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 (/.f64 y z)) (fabs.f64 y)) |
(* -1 (* (sqrt (/ y z)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 y z)) |
(/ (* (pow y 2) (pow (sqrt -1) 2)) z) |
(*.f64 (/.f64 (neg.f64 y) z) y) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))) |
(* -1 (* (sqrt y) (/ (pow (sqrt -1) 2) z))) |
(/.f64 (sqrt.f64 y) z) |
(* -1 (* (sqrt y) (* (fabs y) (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 y) (fabs.f64 y)) |
(/ (+ (* x z) (* y (fabs y))) z) |
(fma.f64 (/.f64 (fabs.f64 y) z) y x) |
(/ (+ (* x z) (pow y 2)) z) |
(fma.f64 (/.f64 y z) y x) |
(/ (+ (* -1 z) (* -1 (/ (pow y 2) x))) z) |
(/.f64 (neg.f64 (fma.f64 (/.f64 y z) y x)) x) |
(+ x (* -1 (/ (* y (* (fabs y) (pow (sqrt -1) 2))) z))) |
(fma.f64 (/.f64 (fabs.f64 y) z) y x) |
(* (sqrt (/ y z)) (* (fabs y) (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 (fabs.f64 y)) (sqrt.f64 (/.f64 y z))) |
(* (sqrt (/ y z)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 y z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 156 |
| 0 | 54 | 160 |
| 1 | 178 | 135 |
| 0 | 1166 | 131 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (sqrt.f64 y) (fabs.f64 y)) (sqrt.f64 y)) |
(+.f64 x (/.f64 (*.f64 (*.f64 (sqrt.f64 y) (fabs.f64 y)) (sqrt.f64 y)) z)) |
(fabs.f64 y) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 y) (fabs.f64 y)) (sqrt.f64 y)) z) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) y) |
(/.f64 y z) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y z) #s(literal -1 binary64))) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y z) #s(literal -1 binary64)))) |
(neg.f64 x) |
(fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y z) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 y z)) (fabs.f64 y)) (sqrt.f64 (/.f64 y z)) x) |
(*.f64 (sqrt.f64 (/.f64 y z)) (fabs.f64 y)) |
(sqrt.f64 (/.f64 y z)) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 y) z))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 y) z)) |
(pow.f64 y #s(literal 3/2 binary64)) |
(/.f64 (sqrt.f64 y) z) |
(*.f64 (sqrt.f64 y) (fabs.f64 y)) |
| Outputs |
|---|
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y))) |
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) (sqrt.f64 y))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y)) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (*.f64 (fabs.f64 y) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (fabs.f64 y) (fabs.f64 y)) |
(*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (sqrt.f64 y) (*.f64 (fabs.f64 y) (sqrt.f64 y))) |
(*.f64 y y) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 y) #s(literal 2 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(sqrt.f64 (*.f64 (*.f64 y y) (*.f64 y y))) |
(fabs.f64 (*.f64 (neg.f64 y) y)) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (/.f64 y z) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (/.f64 y z) y) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 y z) y)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 y z) y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (/.f64 y z) y) x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 y z) y)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (/.f64 (sqrt.f64 y) z) (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal 3/4 binary64)) x) |
(fma.f64 (pow.f64 y #s(literal 3/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) (/.f64 (sqrt.f64 y) z)) x) |
(fma.f64 (/.f64 (sqrt.f64 y) z) (pow.f64 y #s(literal 3/2 binary64)) x) |
(fma.f64 (/.f64 (sqrt.f64 y) z) (*.f64 (fabs.f64 y) (sqrt.f64 y)) x) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 y) z) x) |
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) z) x) |
(fma.f64 (/.f64 y z) y x) |
(fma.f64 (*.f64 (fabs.f64 y) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) z) x) |
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) z) x) |
(fma.f64 (fabs.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z)) x) |
(fma.f64 (sqrt.f64 y) (/.f64 (*.f64 (fabs.f64 y) (sqrt.f64 y)) z) x) |
(fma.f64 (sqrt.f64 y) (*.f64 (fabs.f64 y) (/.f64 (sqrt.f64 y) z)) x) |
(fma.f64 y (/.f64 y z) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y z) y))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 y z) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y z) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (fabs.f64 y) (sqrt.f64 y))) (/.f64 (sqrt.f64 y) z))) |
(-.f64 x (*.f64 (neg.f64 (/.f64 y z)) y)) |
(-.f64 x (/.f64 (*.f64 (neg.f64 y) y) z)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y z) y)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y z) y)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 y z) y) x) |
(+.f64 x (*.f64 (/.f64 y z) y)) |
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y))) |
(*.f64 (sqrt.f64 (fabs.f64 y)) (sqrt.f64 (fabs.f64 y))) |
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(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 y))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 z)) |
(/.f64 (sqrt.f64 y) z) |
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 y)) z)) |
(neg.f64 (/.f64 (sqrt.f64 y) (neg.f64 z))) |
(*.f64 (fabs.f64 y) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) (fabs.f64 y)) |
(sqrt.f64 (*.f64 (*.f64 y y) y)) |
(sqrt.f64 (*.f64 y (*.f64 y y))) |
Compiled 4 417 to 688 computations (84.4% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 226 | 3 | 229 |
| Fresh | 2 | 1 | 3 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 232 | 8 | 240 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.0% | (fma.f64 (/.f64 (sqrt.f64 y) z) (*.f64 (fabs.f64 y) (sqrt.f64 y)) x) |
| ✓ | 99.9% | (fma.f64 (/.f64 y z) y x) |
| ✓ | 95.7% | (+.f64 x (/.f64 (*.f64 y y) z)) |
| ✓ | 46.2% | #s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) |
| ▶ | 65.6% | #s(approx (+ (* (/ y z) y) x) (*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) y) y)) |
| ▶ | 89.4% | #s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z x)) #s(literal -1 binary64)))) |
| ▶ | 56.1% | #s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)))) |
| ✓ | 43.0% | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
Compiled 114 to 81 computations (28.9% saved)
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 y) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 y) z) | |
| cost-diff | 1 | (fabs.f64 y) | |
| cost-diff | 4 | (fma.f64 (/.f64 (sqrt.f64 y) z) (*.f64 (fabs.f64 y) (sqrt.f64 y)) x) | |
| cost-diff | 0 | (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 0 | (*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) y) y) | |
| cost-diff | 0 | #s(approx (+ (* (/ y z) y) x) (*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) y) y)) | |
| cost-diff | 4 | (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) y) | |
| cost-diff | 0 | (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z x)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z x)) #s(literal -1 binary64)))) | |
| cost-diff | 6 | (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z x)) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 207 |
| 0 | 54 | 207 |
| 1 | 103 | 204 |
| 2 | 247 | 201 |
| 3 | 721 | 200 |
| 4 | 3415 | 176 |
| 5 | 7838 | 176 |
| 0 | 8005 | 170 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64))) |
(neg.f64 x) |
x |
#s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z x)) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z x)) #s(literal -1 binary64))) |
(neg.f64 x) |
x |
(fma.f64 (neg.f64 y) (/.f64 y (*.f64 z x)) #s(literal -1 binary64)) |
(neg.f64 y) |
y |
(/.f64 y (*.f64 z x)) |
(*.f64 z x) |
z |
#s(literal -1 binary64) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) y) y)) |
(*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) y) y) |
(*.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) y) |
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(fma.f64 (/.f64 (sqrt.f64 y) z) (*.f64 (fabs.f64 y) (sqrt.f64 y)) x) |
(/.f64 (sqrt.f64 y) z) |
(sqrt.f64 y) |
y |
z |
(*.f64 (fabs.f64 y) (sqrt.f64 y)) |
(fabs.f64 y) |
x |
| Outputs |
|---|
#s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)))) |
#s(approx (+ (* (/ y z) y) x) (*.f64 #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64))) |
(*.f64 #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z x)) #s(literal -1 binary64)))) |
#s(approx (+ (* (/ y z) y) x) (fma.f64 (/.f64 y z) y x)) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z x)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 y z) y x) |
(neg.f64 x) |
x |
(fma.f64 (neg.f64 y) (/.f64 y (*.f64 z x)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (/.f64 y z) x) (neg.f64 y) #s(literal -1 binary64)) |
(neg.f64 y) |
y |
(/.f64 y (*.f64 z x)) |
(/.f64 (/.f64 y z) x) |
(*.f64 z x) |
(*.f64 x z) |
z |
#s(literal -1 binary64) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) y) y)) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (+.f64 (/.f64 x y) (/.f64 y z)) y)) |
(*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) y) y) |
(*.f64 (+.f64 (/.f64 x y) (/.f64 y z)) y) |
(*.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) y) |
(+.f64 (/.f64 x y) (/.f64 y z)) |
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) |
(-.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(fma.f64 (/.f64 (sqrt.f64 y) z) (*.f64 (fabs.f64 y) (sqrt.f64 y)) x) |
(fma.f64 (/.f64 y z) y x) |
(/.f64 (sqrt.f64 y) z) |
(sqrt.f64 y) |
y |
z |
(*.f64 (fabs.f64 y) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) y) |
(fabs.f64 y) |
y |
x |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fabs.f64 y) | |
| accuracy | 0.1875 | (*.f64 (fabs.f64 y) (sqrt.f64 y)) | |
| accuracy | 0.234375 | (/.f64 (sqrt.f64 y) z) | |
| accuracy | 1.2398398980911671 | (fma.f64 (/.f64 (sqrt.f64 y) z) (*.f64 (fabs.f64 y) (sqrt.f64 y)) x) | |
| accuracy | 0.0078125 | (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) | |
| accuracy | 7.140415891908815 | (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) y) | |
| accuracy | 8.171356465659976 | (/.f64 x (*.f64 y y)) | |
| accuracy | 9.268996986846377 | (*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) y) y) | |
| accuracy | 0.0 | #s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z x)) #s(literal -1 binary64)))) | |
| accuracy | 0.9970156955026241 | (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z x)) #s(literal -1 binary64)) | |
| accuracy | 3.081073967074919 | (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z x)) #s(literal -1 binary64))) | |
| accuracy | 4.755820488871106 | (/.f64 y (*.f64 z x)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.0 | #s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)))) | |
| accuracy | 3.081073967074919 | (*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64))) | |
| accuracy | 28.18097575072024 | #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)) |
| 112.0ms | 256× | 0 | valid |
Compiled 165 to 33 computations (80% saved)
ival-div: 45.0ms (47.3% of total)ival-fabs: 24.0ms (25.2% of total)ival-mult: 16.0ms (16.8% of total)ival-add: 6.0ms (6.3% of total)ival-sqrt: 2.0ms (2.1% of total)ival-neg: 2.0ms (2.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64))) |
(neg.f64 x) |
#s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z x)) #s(literal -1 binary64))) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z x)) #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 y) (/.f64 y (*.f64 z x)) #s(literal -1 binary64)) |
(*.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) y) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) y) y)) |
(*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) y) y) |
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) |
(fma.f64 (/.f64 (sqrt.f64 y) z) (*.f64 (fabs.f64 y) (sqrt.f64 y)) x) |
(fabs.f64 y) |
(/.f64 (sqrt.f64 y) z) |
(sqrt.f64 y) |
(/.f64 y (*.f64 z x)) |
(/.f64 x (*.f64 y y)) |
(*.f64 (fabs.f64 y) (sqrt.f64 y)) |
| Outputs |
|---|
(/ (pow y 2) z) |
(+ x (/ (pow y 2) z)) |
(* -1 x) |
(* -1 (/ (pow y 2) (* x z))) |
(/ (+ (* -1 x) (* -1 (/ (pow y 2) z))) x) |
(/ y z) |
(+ (/ x y) (/ y z)) |
(/ 1 z) |
(+ (/ 1 z) (/ x (pow y 2))) |
(/ (* y (fabs y)) z) |
(+ x (/ (* y (fabs y)) z)) |
(/ y (* x z)) |
(/ x (pow y 2)) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
-1 |
(- (* -1 (/ (pow y 2) (* x z))) 1) |
(/ x y) |
(* x (+ (/ 1 y) (/ y (* x z)))) |
(* x (+ (/ 1 (* x z)) (/ 1 (pow y 2)))) |
(* x (+ 1 (/ (* y (fabs y)) (* x z)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (* y (fabs y)) (* x z))) 1))) |
(/ (+ x (/ (pow y 2) z)) y) |
(/ (+ x (/ (pow y 2) z)) (pow y 2)) |
(fabs y) |
(* (sqrt y) (/ 1 z)) |
(sqrt y) |
(* (sqrt y) (fabs y)) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(* -1 (* (pow y 2) (+ (/ 1 (* x z)) (/ 1 (pow y 2))))) |
(* y (+ (/ 1 z) (/ x (pow y 2)))) |
(* y (+ (/ x y) (/ (fabs y) z))) |
(* -1 (* y (- (* -1 (/ x (pow y 2))) (/ 1 z)))) |
(* -1 (/ (* y (* (fabs y) (pow (sqrt -1) 2))) z)) |
(* -1 (* y (+ (* -1 (/ x y)) (/ (* (fabs y) (pow (sqrt -1) 2)) z)))) |
(* -1 (* (sqrt y) (/ (pow (sqrt -1) 2) z))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt y) (* (fabs y) (pow (sqrt -1) 2)))) |
(/ (+ (* x z) (pow y 2)) z) |
(/ (+ (* -1 z) (* -1 (/ (pow y 2) x))) z) |
(/ (+ y (/ (* x z) y)) z) |
(/ (+ 1 (/ (* x z) (pow y 2))) z) |
(/ (+ (* x z) (* y (fabs y))) z) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | z | @ | 0 | ((+ (* (/ y z) y) x) (* (neg x) (+ (* (/ (neg y) x) (/ y z)) -1)) (neg x) (+ (* (/ (neg y) x) (/ y z)) -1) (* (neg x) (+ (* (neg y) (/ y (* z x))) -1)) (+ (* (/ y z) y) x) (+ (* (neg y) (/ y (* z x))) -1) (* (+ (/ x (* y y)) (/ 1 z)) y) (+ (* (/ y z) y) x) (* (* (+ (/ x (* y y)) (/ 1 z)) y) y) (+ (/ x (* y y)) (/ 1 z)) (+ (* (/ (sqrt y) z) (* (fabs y) (sqrt y))) x) (fabs y) (/ (sqrt y) z) (sqrt y) (/ y (* z x)) (/ x (* y y)) (* (fabs y) (sqrt y))) |
| 7.0ms | y | @ | inf | ((+ (* (/ y z) y) x) (* (neg x) (+ (* (/ (neg y) x) (/ y z)) -1)) (neg x) (+ (* (/ (neg y) x) (/ y z)) -1) (* (neg x) (+ (* (neg y) (/ y (* z x))) -1)) (+ (* (/ y z) y) x) (+ (* (neg y) (/ y (* z x))) -1) (* (+ (/ x (* y y)) (/ 1 z)) y) (+ (* (/ y z) y) x) (* (* (+ (/ x (* y y)) (/ 1 z)) y) y) (+ (/ x (* y y)) (/ 1 z)) (+ (* (/ (sqrt y) z) (* (fabs y) (sqrt y))) x) (fabs y) (/ (sqrt y) z) (sqrt y) (/ y (* z x)) (/ x (* y y)) (* (fabs y) (sqrt y))) |
| 4.0ms | y | @ | -inf | ((+ (* (/ y z) y) x) (* (neg x) (+ (* (/ (neg y) x) (/ y z)) -1)) (neg x) (+ (* (/ (neg y) x) (/ y z)) -1) (* (neg x) (+ (* (neg y) (/ y (* z x))) -1)) (+ (* (/ y z) y) x) (+ (* (neg y) (/ y (* z x))) -1) (* (+ (/ x (* y y)) (/ 1 z)) y) (+ (* (/ y z) y) x) (* (* (+ (/ x (* y y)) (/ 1 z)) y) y) (+ (/ x (* y y)) (/ 1 z)) (+ (* (/ (sqrt y) z) (* (fabs y) (sqrt y))) x) (fabs y) (/ (sqrt y) z) (sqrt y) (/ y (* z x)) (/ x (* y y)) (* (fabs y) (sqrt y))) |
| 3.0ms | x | @ | -inf | ((+ (* (/ y z) y) x) (* (neg x) (+ (* (/ (neg y) x) (/ y z)) -1)) (neg x) (+ (* (/ (neg y) x) (/ y z)) -1) (* (neg x) (+ (* (neg y) (/ y (* z x))) -1)) (+ (* (/ y z) y) x) (+ (* (neg y) (/ y (* z x))) -1) (* (+ (/ x (* y y)) (/ 1 z)) y) (+ (* (/ y z) y) x) (* (* (+ (/ x (* y y)) (/ 1 z)) y) y) (+ (/ x (* y y)) (/ 1 z)) (+ (* (/ (sqrt y) z) (* (fabs y) (sqrt y))) x) (fabs y) (/ (sqrt y) z) (sqrt y) (/ y (* z x)) (/ x (* y y)) (* (fabs y) (sqrt y))) |
| 2.0ms | y | @ | 0 | ((+ (* (/ y z) y) x) (* (neg x) (+ (* (/ (neg y) x) (/ y z)) -1)) (neg x) (+ (* (/ (neg y) x) (/ y z)) -1) (* (neg x) (+ (* (neg y) (/ y (* z x))) -1)) (+ (* (/ y z) y) x) (+ (* (neg y) (/ y (* z x))) -1) (* (+ (/ x (* y y)) (/ 1 z)) y) (+ (* (/ y z) y) x) (* (* (+ (/ x (* y y)) (/ 1 z)) y) y) (+ (/ x (* y y)) (/ 1 z)) (+ (* (/ (sqrt y) z) (* (fabs y) (sqrt y))) x) (fabs y) (/ (sqrt y) z) (sqrt y) (/ y (* z x)) (/ x (* y y)) (* (fabs y) (sqrt y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 322 |
| 1 | 305 | 314 |
| 2 | 972 | 309 |
| 0 | 4487 | 299 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow y 2) z) |
(+ x (/ (pow y 2) z)) |
(* -1 x) |
(* -1 (/ (pow y 2) (* x z))) |
(/ (+ (* -1 x) (* -1 (/ (pow y 2) z))) x) |
(/ y z) |
(+ (/ x y) (/ y z)) |
(/ 1 z) |
(+ (/ 1 z) (/ x (pow y 2))) |
(/ (* y (fabs y)) z) |
(+ x (/ (* y (fabs y)) z)) |
(/ y (* x z)) |
(/ x (pow y 2)) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
-1 |
(- (* -1 (/ (pow y 2) (* x z))) 1) |
(/ x y) |
(* x (+ (/ 1 y) (/ y (* x z)))) |
(* x (+ (/ 1 (* x z)) (/ 1 (pow y 2)))) |
(* x (+ 1 (/ (* y (fabs y)) (* x z)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (* y (fabs y)) (* x z))) 1))) |
(/ (+ x (/ (pow y 2) z)) y) |
(/ (+ x (/ (pow y 2) z)) (pow y 2)) |
(fabs y) |
(* (sqrt y) (/ 1 z)) |
(sqrt y) |
(* (sqrt y) (fabs y)) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(* -1 (* (pow y 2) (+ (/ 1 (* x z)) (/ 1 (pow y 2))))) |
(* y (+ (/ 1 z) (/ x (pow y 2)))) |
(* y (+ (/ x y) (/ (fabs y) z))) |
(* -1 (* y (- (* -1 (/ x (pow y 2))) (/ 1 z)))) |
(* -1 (/ (* y (* (fabs y) (pow (sqrt -1) 2))) z)) |
(* -1 (* y (+ (* -1 (/ x y)) (/ (* (fabs y) (pow (sqrt -1) 2)) z)))) |
(* -1 (* (sqrt y) (/ (pow (sqrt -1) 2) z))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt y) (* (fabs y) (pow (sqrt -1) 2)))) |
(/ (+ (* x z) (pow y 2)) z) |
(/ (+ (* -1 z) (* -1 (/ (pow y 2) x))) z) |
(/ (+ y (/ (* x z) y)) z) |
(/ (+ 1 (/ (* x z) (pow y 2))) z) |
(/ (+ (* x z) (* y (fabs y))) z) |
| Outputs |
|---|
(/ (pow y 2) z) |
(*.f64 (/.f64 y z) y) |
(+ x (/ (pow y 2) z)) |
(fma.f64 (/.f64 y z) y x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (/ (pow y 2) (* x z))) |
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 y z)) |
(/ (+ (* -1 x) (* -1 (/ (pow y 2) z))) x) |
(/.f64 (neg.f64 (fma.f64 (/.f64 y z) y x)) x) |
(/ y z) |
(/.f64 y z) |
(+ (/ x y) (/ y z)) |
(+.f64 (/.f64 x y) (/.f64 y z)) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (/ 1 z) (/ x (pow y 2))) |
(+.f64 (/.f64 (/.f64 x y) y) (/.f64 #s(literal 1 binary64) z)) |
(/ (* y (fabs y)) z) |
(/.f64 (*.f64 (fabs.f64 y) y) z) |
(+ x (/ (* y (fabs y)) z)) |
(fma.f64 (/.f64 (fabs.f64 y) z) y x) |
(/ y (* x z)) |
(/.f64 (/.f64 y z) x) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(fma.f64 (/.f64 y z) y x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (pow y 2) (* x z))) 1) |
(/.f64 (neg.f64 (fma.f64 (/.f64 y z) y x)) x) |
(/ x y) |
(/.f64 x y) |
(* x (+ (/ 1 y) (/ y (* x z)))) |
(+.f64 (/.f64 x y) (/.f64 y z)) |
(* x (+ (/ 1 (* x z)) (/ 1 (pow y 2)))) |
(+.f64 (/.f64 (/.f64 x y) y) (/.f64 #s(literal 1 binary64) z)) |
(* x (+ 1 (/ (* y (fabs y)) (* x z)))) |
(fma.f64 (/.f64 (fabs.f64 y) z) y x) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 y z) y x)) x) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (/.f64 (neg.f64 y) x) z) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (* y (fabs y)) (* x z))) 1))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 (fabs.f64 y) z) #s(literal -1 binary64)) (neg.f64 x)) |
(/ (+ x (/ (pow y 2) z)) y) |
(/.f64 (fma.f64 (/.f64 y z) y x) y) |
(/ (+ x (/ (pow y 2) z)) (pow y 2)) |
(+.f64 (/.f64 (/.f64 x y) y) (/.f64 #s(literal 1 binary64) z)) |
(fabs y) |
(fabs.f64 y) |
(* (sqrt y) (/ 1 z)) |
(/.f64 (sqrt.f64 y) z) |
(sqrt y) |
(sqrt.f64 y) |
(* (sqrt y) (fabs y)) |
(*.f64 (sqrt.f64 y) (fabs.f64 y)) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(fma.f64 (/.f64 y z) y x) |
(* -1 (* (pow y 2) (+ (/ 1 (* x z)) (/ 1 (pow y 2))))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 y z) y x)) x) |
(* y (+ (/ 1 z) (/ x (pow y 2)))) |
(fma.f64 (/.f64 (/.f64 x y) y) y (/.f64 y z)) |
(* y (+ (/ x y) (/ (fabs y) z))) |
(*.f64 (+.f64 (/.f64 (fabs.f64 y) z) (/.f64 x y)) y) |
(* -1 (* y (- (* -1 (/ x (pow y 2))) (/ 1 z)))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 #s(literal 1 binary64) z))) |
(* -1 (/ (* y (* (fabs y) (pow (sqrt -1) 2))) z)) |
(/.f64 (*.f64 (fabs.f64 y) y) z) |
(* -1 (* y (+ (* -1 (/ x y)) (/ (* (fabs y) (pow (sqrt -1) 2)) z)))) |
(*.f64 (+.f64 (/.f64 (fabs.f64 y) z) (/.f64 x y)) y) |
(* -1 (* (sqrt y) (/ (pow (sqrt -1) 2) z))) |
(/.f64 (sqrt.f64 y) z) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(* -1 (* (sqrt y) (* (fabs y) (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 y) (fabs.f64 y)) |
(/ (+ (* x z) (pow y 2)) z) |
(fma.f64 (/.f64 y z) y x) |
(/ (+ (* -1 z) (* -1 (/ (pow y 2) x))) z) |
(/.f64 (neg.f64 (fma.f64 (/.f64 y z) y x)) x) |
(/ (+ y (/ (* x z) y)) z) |
(+.f64 (/.f64 x y) (/.f64 y z)) |
(/ (+ 1 (/ (* x z) (pow y 2))) z) |
(+.f64 (/.f64 (/.f64 x y) y) (/.f64 #s(literal 1 binary64) z)) |
(/ (+ (* x z) (* y (fabs y))) z) |
(fma.f64 (/.f64 (fabs.f64 y) z) y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 181 |
| 0 | 54 | 178 |
| 1 | 189 | 174 |
| 0 | 1338 | 170 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64))) |
(neg.f64 x) |
#s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z x)) #s(literal -1 binary64))) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z x)) #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 y) (/.f64 y (*.f64 z x)) #s(literal -1 binary64)) |
(*.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) y) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) y) y)) |
(*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) y) y) |
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) |
(fma.f64 (/.f64 (sqrt.f64 y) z) (*.f64 (fabs.f64 y) (sqrt.f64 y)) x) |
(fabs.f64 y) |
(/.f64 (sqrt.f64 y) z) |
(sqrt.f64 y) |
(/.f64 y (*.f64 z x)) |
(/.f64 x (*.f64 y y)) |
(*.f64 (fabs.f64 y) (sqrt.f64 y)) |
| Outputs |
|---|
#s(approx (+ (* (/ y z) y) x) (*.f64 #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64))) |
(*.f64 x (neg.f64 #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)))) |
(neg.f64 (*.f64 #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)) x)) |
(neg.f64 x) |
#s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (/.f64 (/.f64 y z) x) (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 y z) x) (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 x (neg.f64 (fma.f64 (/.f64 (/.f64 y z) x) (neg.f64 y) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (/.f64 y z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 x)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (/.f64 y z) x) y) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (/.f64 y z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (/.f64 y z) x) y) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) (neg.f64 x)) (*.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))) (-.f64 (*.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) (neg.f64 x)) (neg.f64 (neg.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) (neg.f64 x)) (*.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) (neg.f64 x)) (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) (*.f64 (*.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) (neg.f64 x)) (neg.f64 (neg.f64 x)))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (/.f64 y z) x) (neg.f64 y) #s(literal -1 binary64)) x)) |
(fma.f64 (*.f64 (neg.f64 x) (/.f64 (/.f64 y z) x)) (neg.f64 y) (neg.f64 (neg.f64 x))) |
(fma.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (/.f64 (/.f64 y z) x) (neg.f64 (neg.f64 x))) |
(fma.f64 (*.f64 (neg.f64 x) (/.f64 y (neg.f64 x))) (/.f64 y z) (neg.f64 (neg.f64 x))) |
(fma.f64 (*.f64 (neg.f64 x) (/.f64 y z)) (/.f64 y (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(fma.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) (neg.f64 x) (neg.f64 (neg.f64 x))) |
(fma.f64 (/.f64 (/.f64 y z) x) (*.f64 (neg.f64 y) (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(fma.f64 (neg.f64 y) (*.f64 (/.f64 (/.f64 y z) x) (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) (neg.f64 x))) |
(fma.f64 (/.f64 y (neg.f64 x)) (*.f64 (/.f64 y z) (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) (neg.f64 (neg.f64 x))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) (neg.f64 x))) |
(fma.f64 (/.f64 y z) (*.f64 (/.f64 y (neg.f64 x)) (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(-.f64 (*.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(-.f64 (*.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(-.f64 (*.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) (neg.f64 x)) (*.f64 x #s(literal -1 binary64))) |
(+.f64 (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) (neg.f64 x))) |
(+.f64 (*.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) (neg.f64 x)) (neg.f64 (neg.f64 x))) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (fma.f64 (/.f64 (/.f64 y z) x) (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (/.f64 y z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (/.f64 y z) x) y) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) #s(literal -1 binary64))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (/.f64 y z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 y z) x) (*.f64 (neg.f64 y) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (/.f64 y z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (/.f64 y z) x) y) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) #s(literal 2 binary64)))) |
(neg.f64 (fma.f64 (/.f64 (/.f64 y z) x) y #s(literal 1 binary64))) |
(neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 y z) x) y))) |
(fma.f64 (/.f64 (neg.f64 y) z) (/.f64 y x) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (/.f64 y z) x) (neg.f64 y) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 y) (/.f64 (/.f64 y z) x) #s(literal -1 binary64)) |
(fma.f64 (/.f64 y (neg.f64 x)) (/.f64 y z) #s(literal -1 binary64)) |
(fma.f64 (/.f64 y z) (/.f64 y (neg.f64 x)) #s(literal -1 binary64)) |
(fma.f64 y (neg.f64 (/.f64 (/.f64 y z) x)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) #s(literal -1 binary64)))) |
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (/.f64 y z))) |
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 (/.f64 y z) x)) (neg.f64 y))) |
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 y (neg.f64 x))) (/.f64 y z))) |
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 y z)) (/.f64 y (neg.f64 x)))) |
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 y z) x) y)) |
(+.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (/.f64 y z) x) y) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (/.f64 y z) x) y) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (/.f64 y z) x) y) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 y x))) |
(*.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (*.f64 y y))) y) |
(*.f64 y (+.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) (pow.f64 z #s(literal -2 binary64))) y) (-.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) y) (fma.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (*.f64 y y))) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 x z (*.f64 y y)) y) (*.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) (pow.f64 z #s(literal -2 binary64)))) (-.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 (*.f64 y (+.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (*.f64 y y))) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 y (fma.f64 x z (*.f64 y y))) (*.f64 (*.f64 y y) z)) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) y (*.f64 (/.f64 x (*.f64 y y)) y)) |
(fma.f64 (/.f64 x (*.f64 y y)) y (*.f64 (pow.f64 z #s(literal -1 binary64)) y)) |
(fma.f64 y (pow.f64 z #s(literal -1 binary64)) (*.f64 y (/.f64 x (*.f64 y y)))) |
(fma.f64 y (/.f64 x (*.f64 y y)) (*.f64 y (pow.f64 z #s(literal -1 binary64)))) |
(+.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) (*.f64 (/.f64 x (*.f64 y y)) y)) |
(+.f64 (*.f64 (/.f64 x (*.f64 y y)) y) (*.f64 (pow.f64 z #s(literal -1 binary64)) y)) |
(+.f64 (*.f64 y (pow.f64 z #s(literal -1 binary64))) (*.f64 y (/.f64 x (*.f64 y y)))) |
(+.f64 (*.f64 y (/.f64 x (*.f64 y y))) (*.f64 y (pow.f64 z #s(literal -1 binary64)))) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (*.f64 y y))) (*.f64 y y))) |
(*.f64 (*.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (*.f64 y y))) (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (*.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (*.f64 y y))) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (*.f64 y y))) y) y) |
(*.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (*.f64 y y))) (*.f64 y y)) |
(*.f64 (*.f64 y y) (+.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (*.f64 y y)))) |
(*.f64 y (*.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (*.f64 y y))) y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) (pow.f64 z #s(literal -2 binary64))) (*.f64 y y)) (-.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (*.f64 y y)) (fma.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (*.f64 y y))) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 x z (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 y y) z)) |
(/.f64 (/.f64 (fma.f64 x z (*.f64 y y)) (*.f64 y y)) z) |
(/.f64 (-.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64))) (-.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (*.f64 y y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) (pow.f64 z #s(literal -2 binary64)))) (neg.f64 (-.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (*.f64 y y))) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 x z (*.f64 y y))) (neg.f64 (*.f64 (*.f64 y y) z))) |
(/.f64 (fma.f64 #s(literal 1 binary64) y (*.f64 z (/.f64 x y))) (*.f64 z y)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 z) x)) (*.f64 z (*.f64 (neg.f64 y) y))) |
(/.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 (neg.f64 z) (/.f64 x y))) (*.f64 (neg.f64 z) y)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 z) (neg.f64 x))) (*.f64 (neg.f64 z) (*.f64 (neg.f64 y) y))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y y) (*.f64 (neg.f64 z) x)) (*.f64 (neg.f64 z) (*.f64 y y))) |
(/.f64 (fma.f64 (/.f64 x y) z (*.f64 y #s(literal 1 binary64))) (*.f64 y z)) |
(/.f64 (fma.f64 (/.f64 x y) (neg.f64 z) (*.f64 y #s(literal -1 binary64))) (*.f64 y (neg.f64 z))) |
(/.f64 (fma.f64 (neg.f64 z) x (*.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 y) y) z)) |
(/.f64 (fma.f64 (neg.f64 x) (neg.f64 z) (*.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))) |
(/.f64 (fma.f64 (neg.f64 z) x (*.f64 (*.f64 y y) #s(literal -1 binary64))) (*.f64 (*.f64 y y) (neg.f64 z))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) (pow.f64 z #s(literal -2 binary64))) (-.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (*.f64 y y)))))) |
(/.f64 (+.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (*.f64 y y))) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 x z (*.f64 y y)) (*.f64 (*.f64 y y) z)) |
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x (*.f64 y y))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z) (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64)))) (/.f64 (pow.f64 z #s(literal -2 binary64)) (-.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))))) |
(+.f64 (/.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (*.f64 y y))) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal -3 binary64)) (fma.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (*.f64 y y))) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (*.f64 x z) (*.f64 (*.f64 y y) z)) (/.f64 (*.f64 y y) (*.f64 (*.f64 y y) z))) |
(+.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 y z) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (/.f64 y z) y) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 y z) y)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (/.f64 y z) y) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y z) y) x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 y z) y)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (/.f64 (sqrt.f64 y) z) (sqrt.f64 y)) (fabs.f64 y) x) |
(fma.f64 (*.f64 (fabs.f64 y) (/.f64 (sqrt.f64 y) z)) (sqrt.f64 y) x) |
(fma.f64 (*.f64 (fabs.f64 y) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) z) x) |
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) z) x) |
(fma.f64 (fabs.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z)) x) |
(fma.f64 (/.f64 (sqrt.f64 y) z) (*.f64 (fabs.f64 y) (sqrt.f64 y)) x) |
(fma.f64 (sqrt.f64 y) (*.f64 (fabs.f64 y) (/.f64 (sqrt.f64 y) z)) x) |
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) z) x) |
(fma.f64 (/.f64 y z) y x) |
(fma.f64 y (/.f64 y z) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y z) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x))) |
(-.f64 x (*.f64 (neg.f64 (/.f64 y z)) y)) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (fabs.f64 y) (/.f64 (sqrt.f64 y) z))) (sqrt.f64 y))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (fabs.f64 y) (sqrt.f64 y))) (/.f64 (sqrt.f64 y) z))) |
(-.f64 x (*.f64 (neg.f64 (/.f64 (sqrt.f64 y) z)) (*.f64 (fabs.f64 y) (sqrt.f64 y)))) |
(-.f64 x (/.f64 (*.f64 (neg.f64 y) y) z)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y z) y)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y z) y)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 y z) y) x) |
(+.f64 x (*.f64 (/.f64 y z) y)) |
(*.f64 (sqrt.f64 (fabs.f64 y)) (sqrt.f64 (fabs.f64 y))) |
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y))) |
(*.f64 (sqrt.f64 y) (sqrt.f64 y)) |
(pow.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(pow.f64 y #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 y y)) |
(fabs.f64 (fabs.f64 y)) |
(fabs.f64 (neg.f64 y)) |
(fabs.f64 y) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 y))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 z)) |
(/.f64 (sqrt.f64 y) z) |
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 y)) z)) |
(neg.f64 (/.f64 (sqrt.f64 y) (neg.f64 z))) |
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) |
(pow.f64 y #s(literal 1/2 binary64)) |
(sqrt.f64 y) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (/.f64 y z)) (neg.f64 x)) |
(/.f64 (/.f64 y x) z) |
(/.f64 (neg.f64 y) (*.f64 (neg.f64 z) x)) |
(/.f64 (/.f64 y z) x) |
(/.f64 y (neg.f64 (*.f64 (neg.f64 z) x))) |
(/.f64 y (*.f64 x z)) |
(neg.f64 (/.f64 (neg.f64 y) (*.f64 x z))) |
(neg.f64 (/.f64 y (*.f64 (neg.f64 z) x))) |
(/.f64 (/.f64 x (fabs.f64 y)) (fabs.f64 y)) |
(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 y)) |
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 y y)) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y)) |
(/.f64 x (*.f64 y y)) |
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y))) |
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) y))) |
(*.f64 (fabs.f64 y) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) (fabs.f64 y)) |
(sqrt.f64 (*.f64 (*.f64 y y) y)) |
(sqrt.f64 (*.f64 y (*.f64 y y))) |
Compiled 4 843 to 788 computations (83.7% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 204 | 2 | 206 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 4 | 4 |
| Total | 205 | 9 | 214 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.0% | (fma.f64 (/.f64 (sqrt.f64 y) z) (*.f64 (fabs.f64 y) (sqrt.f64 y)) x) |
| ✓ | 99.9% | (fma.f64 (/.f64 y z) y x) |
| ✓ | 95.7% | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 91.7% | #s(approx (+ (* (/ y z) y) x) (fma.f64 (/.f64 (/.f64 y z) x) (*.f64 (neg.f64 y) (neg.f64 x)) (neg.f64 (neg.f64 x)))) | |
| ✓ | 46.2% | #s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) |
| 46.2% | #s(approx (+ (* (/ y z) y) x) (*.f64 (*.f64 #s(approx (+ (/ x (* y y)) (/ 1 z)) (/.f64 #s(literal 1 binary64) z)) y) y)) | |
| ✓ | 89.4% | #s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z x)) #s(literal -1 binary64)))) |
| ✓ | 56.1% | #s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)))) |
| ✓ | 43.0% | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
Compiled 447 to 194 computations (56.6% saved)
| Inputs |
|---|
#s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)))) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) |
(fma.f64 (/.f64 y z) y x) |
(+.f64 x (/.f64 (*.f64 y y) z)) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (*.f64 #s(approx (+ (/ x (* y y)) (/ 1 z)) (/.f64 #s(literal 1 binary64) z)) y) y)) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z x)) #s(literal -1 binary64)))) |
#s(approx (+ (* (/ y z) y) x) (fma.f64 (/.f64 x z) (/.f64 (*.f64 y y) x) x)) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y z) #s(literal -1 binary64)))) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) y) y)) |
#s(approx (+ (* (/ y z) y) x) (fma.f64 (/.f64 (/.f64 y z) x) (*.f64 (neg.f64 y) (neg.f64 x)) (neg.f64 (neg.f64 x)))) |
(fma.f64 (/.f64 (sqrt.f64 y) z) (*.f64 (fabs.f64 y) (sqrt.f64 y)) x) |
(+.f64 x (/.f64 (*.f64 (*.f64 (sqrt.f64 y) (fabs.f64 y)) (sqrt.f64 y)) z)) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 y z)) (fabs.f64 y)) (sqrt.f64 (/.f64 y z)) x) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) (/.f64 y z))) (sqrt.f64 (/.f64 y z)) x) |
(fma.f64 (sqrt.f64 (/.f64 (*.f64 y y) z)) (sqrt.f64 (/.f64 (*.f64 y y) z)) x) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (sqrt.f64 y) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) z))) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 y) z))) |
(+.f64 x (/.f64 (*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y)) z)) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) y)) (sqrt.f64 y) x) |
| Outputs |
|---|
(fma.f64 (/.f64 y z) y x) |
6 calls:
| 15.0ms | (/.f64 (*.f64 y y) z) |
| 5.0ms | z |
| 5.0ms | x |
| 5.0ms | y |
| 5.0ms | (+.f64 x (/.f64 (*.f64 y y) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (*.f64 y y) |
| 99.9% | 1 | (/.f64 (*.f64 y y) z) |
| 99.9% | 1 | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
Compiled 18 to 24 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)))) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) |
| Outputs |
|---|
#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)))) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) |
6 calls:
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | y |
| 1.0ms | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 1.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.2% | 2 | (*.f64 y y) |
| 88.8% | 3 | (/.f64 (*.f64 y y) z) |
| 80.9% | 3 | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 66.1% | 3 | x |
| 85.2% | 2 | y |
| 65.7% | 3 | z |
Compiled 18 to 24 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)))) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
| Outputs |
|---|
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)))) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
3 calls:
| 7.0ms | (*.f64 y y) |
| 1.0ms | y |
| 1.0ms | (/.f64 (*.f64 y y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.6% | 2 | y |
| 82.6% | 2 | (*.f64 y y) |
| 86.1% | 3 | (/.f64 (*.f64 y y) z) |
Compiled 9 to 12 computations (-33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)))) |
6 calls:
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 1.0ms | (/.f64 (*.f64 y y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.1% | 1 | z |
| 56.1% | 1 | x |
| 56.1% | 1 | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 56.1% | 1 | (*.f64 y y) |
| 56.1% | 1 | y |
| 56.1% | 1 | (/.f64 (*.f64 y y) z) |
Compiled 18 to 24 computations (-33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3342539702771317e+55 | 4.900802002562624e+67 |
| 0.0ms | -0.00012825375645517573 | -7.973567328122259e-14 |
Compiled 10 to 12 computations (-20% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.3342539702771317e+55 | 4.900802002562624e+67 |
| 12.0ms | -0.00012825375645517573 | -7.973567328122259e-14 |
| 12.0ms | 304× | 0 | valid |
Compiled 618 to 487 computations (21.2% saved)
ival-add: 2.0ms (95.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 135 |
| 1 | 63 | 132 |
| 2 | 112 | 132 |
| 3 | 203 | 132 |
| 4 | 347 | 132 |
| 5 | 473 | 132 |
| 6 | 487 | 132 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (/.f64 y z) y x) |
(if (<=.f64 (/.f64 (*.f64 y y) z) #s(literal -7378697629483821/73786976294838206464 binary64)) #s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) (if (<=.f64 (/.f64 (*.f64 y y) z) #s(literal 20000000000000000204701340408171022992608776270649491456 binary64)) #s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)))) #s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)))) |
(if (<=.f64 (/.f64 (*.f64 y y) z) #s(literal -4722366482869645/4722366482869645213696 binary64)) #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) (if (<=.f64 (/.f64 (*.f64 y y) z) #s(literal 3049999999999999877409324563981895520927515822114815868928 binary64)) #s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)))) #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)))) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)))) |
| Outputs |
|---|
(fma.f64 (/.f64 y z) y x) |
(if (<=.f64 (/.f64 (*.f64 y y) z) #s(literal -7378697629483821/73786976294838206464 binary64)) #s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) (if (<=.f64 (/.f64 (*.f64 y y) z) #s(literal 20000000000000000204701340408171022992608776270649491456 binary64)) #s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)))) #s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)))) |
(if (or (<=.f64 (/.f64 (*.f64 y y) z) #s(literal -7378697629483821/73786976294838206464 binary64)) (not (<=.f64 (/.f64 (*.f64 y y) z) #s(literal 20000000000000000204701340408171022992608776270649491456 binary64)))) #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) #s(approx (+ x (/ (* y y) z)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 y y) z) #s(literal -4722366482869645/4722366482869645213696 binary64)) #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) (if (<=.f64 (/.f64 (*.f64 y y) z) #s(literal 3049999999999999877409324563981895520927515822114815868928 binary64)) #s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)))) #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)))) |
(if (or (<=.f64 (/.f64 (*.f64 y y) z) #s(literal -4722366482869645/4722366482869645213696 binary64)) (not (<=.f64 (/.f64 (*.f64 y y) z) #s(literal 3049999999999999877409324563981895520927515822114815868928 binary64)))) #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) #s(approx (+ x (/ (* y y) z)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64))))) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)))) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (neg y) x) (/ y z)) -1) #s(literal -1 binary64)))) |
| 1× | fuel |
Compiled 135 to 38 computations (71.9% saved)
(abs y)
Compiled 322 to 120 computations (62.7% saved)
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