
Time bar (total: 6.1s)
| 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 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 7 to 6 computations (14.3% saved)
| 440.0ms | 8 256× | 0 | valid |
ival-mult: 178.0ms (73.3% of total)ival-div: 57.0ms (23.5% of total)ival-true: 6.0ms (2.5% of total)ival-assert: 3.0ms (1.2% of total)| 1× | egg-herbie |
| 892× | times-frac |
| 198× | associate-*r* |
| 198× | associate-*l* |
| 174× | associate-/r* |
| 122× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 27 |
| 1 | 39 | 27 |
| 2 | 105 | 27 |
| 3 | 327 | 27 |
| 4 | 825 | 27 |
| 5 | 1359 | 27 |
| 6 | 1504 | 27 |
| 7 | 1530 | 27 |
| 8 | 1548 | 27 |
| 9 | 1564 | 27 |
| 0 | 4 | 5 |
| 0 | 6 | 5 |
| 1 | 8 | 5 |
| 0 | 8 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (*.f64 y y)) |
| Outputs |
|---|
(/.f64 x (*.f64 y y)) |
(abs y)
(negabs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 41 | 0 | - | 4 | (1.9171275178666545e-231 1.0351908324529103e-160) | (/.f64 x (*.f64 y y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 x (*.f64 y y)) | n/o | 21 | 0 |
| ↳ | (*.f64 y y) | overflow | 63 | |
/.f64 | (/.f64 x (*.f64 y y)) | n/u | 16 | 0 |
| ↳ | (*.f64 y y) | underflow | 62 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 37 | 4 |
| - | 0 | 215 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 37 | 0 | 4 |
| - | 0 | 0 | 215 |
| number | freq |
|---|---|
| 0 | 219 |
| 1 | 37 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 32.0ms | 512× | 0 | valid |
Compiled 38 to 20 computations (47.4% saved)
ival-mult: 4.0ms (51.8% of total)ival-div: 3.0ms (38.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 85.4% | (/.f64 x (*.f64 y y)) |
Compiled 7 to 4 computations (42.9% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (/.f64 x (*.f64 y y)) |
| 6× | lower-/.f32 |
| 4× | lower-/.f64 |
| 2× | lift-/.f64 |
| 2× | lift-*.f64 |
| 2× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 10 |
| 0 | 6 | 10 |
| 1 | 8 | 10 |
| 0 | 8 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
| Outputs |
|---|
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 85.4% | (/.f64 x (*.f64 y y)) |
| 27.0ms | 256× | 0 | valid |
Compiled 12 to 6 computations (50% saved)
ival-div: 2.0ms (54.3% of total)ival-mult: 2.0ms (54.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/ x (* y y)) |
| 1.0ms | x | @ | inf | (/ x (* y y)) |
| 1.0ms | x | @ | 0 | (/ x (* y y)) |
| 0.0ms | x | @ | -inf | (/ x (* y y)) |
| 0.0ms | y | @ | inf | (* y y) |
| 1× | batch-egg-rewrite |
| 940× | lower-*.f32 |
| 938× | lower-*.f64 |
| 784× | lower-/.f32 |
| 782× | lower-/.f64 |
| 194× | unpow-prod-down |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 8 |
| 0 | 6 | 8 |
| 1 | 18 | 8 |
| 2 | 77 | 8 |
| 3 | 360 | 8 |
| 0 | 2132 | 8 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (*.f64 y y)) |
(*.f64 y y) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 0 binary64)) (/.f64 x (*.f64 y y))) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (*.f64 y y) x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y (neg.f64 y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 0 binary64) (/.f64 x (*.f64 y y))) |
(neg.f64 (/.f64 x (*.f64 y (neg.f64 y)))) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 x) (*.f64 y (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 x y) y) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (neg.f64 y)) x)) |
(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 y)) |
(/.f64 (/.f64 x (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 x (*.f64 y (neg.f64 y))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 y (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 y (neg.f64 y)) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (neg.f64 y)) x)) (*.f64 y (neg.f64 y))) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 (*.f64 y (neg.f64 y)) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (neg.f64 y)) x)) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (neg.f64 y)) (neg.f64 x))) (*.f64 (*.f64 y (neg.f64 y)) (*.f64 y y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 x y))) (*.f64 (*.f64 y (neg.f64 y)) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 x (neg.f64 y)))) (*.f64 (*.f64 y (neg.f64 y)) y)) |
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 y (neg.f64 y)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 y y))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 y (neg.f64 y)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x (*.f64 y y))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 x x) (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 x (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) y)) (*.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) y)) (*.f64 x y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) (*.f64 (*.f64 y (neg.f64 y)) x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y y) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) (*.f64 (*.f64 y y) x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 (neg.f64 y) (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 x x))) (*.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) (*.f64 y x)) |
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (*.f64 y (neg.f64 y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (*.f64 y (neg.f64 y))) (/.f64 x (*.f64 y (neg.f64 y))) (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y (neg.f64 y))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 y (neg.f64 y))) (/.f64 x (*.f64 y (neg.f64 y))))) (/.f64 x (*.f64 y (neg.f64 y)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 y (neg.f64 x))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 y (neg.f64 x))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 y x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 (*.f64 x x))) x) |
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) x) |
(/.f64 (/.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64)) y) |
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 y y) x))) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 x y) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y (neg.f64 y)))) |
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 x (neg.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (*.f64 y (neg.f64 y))) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 x (neg.f64 y)) (sqrt.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 x y) (sqrt.f64 y))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 y))) |
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 x y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 x (neg.f64 y))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 x y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y (*.f64 y (*.f64 y y)))) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y)) |
(+.f64 (*.f64 y y) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 y y)) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 y))) |
(fma.f64 y y #s(literal 0 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y (neg.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 y)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y (neg.f64 y)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 y) (neg.f64 y) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y) #s(literal 0 binary64)) |
(neg.f64 (*.f64 y (neg.f64 y))) |
(/.f64 y (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 y y) #s(literal 1 binary64)) |
(/.f64 (*.f64 y (neg.f64 y)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y (neg.f64 y)) #s(literal 3 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y (*.f64 y (*.f64 y y)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y)) |
(pow.f64 y #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y)) |
(*.f64 y y) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (neg.f64 y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 y))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y (neg.f64 y)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y)) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y)) |
| 1× | egg-herbie |
| 6× | lower-/.f32 |
| 6× | lower-/.f64 |
| 2× | lower-*.f64 |
| 2× | lower-pow.f64 |
| 2× | unpow2 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 156 |
| 1 | 6 | 156 |
| 2 | 8 | 156 |
| 0 | 8 | 156 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
| Outputs |
|---|
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
Compiled 1 835 to 346 computations (81.1% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 175 | 8 | 183 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 175 | 9 | 184 |
| Status | Accuracy | Program |
|---|---|---|
| 99.5% | (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) | |
| ▶ | 99.8% | (/.f64 (/.f64 x y) y) |
| 99.7% | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) | |
| ▶ | 37.7% | (/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x))) |
| ✓ | 85.4% | (/.f64 x (*.f64 y y)) |
| ▶ | 85.1% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
| ▶ | 99.4% | (*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
| 99.7% | (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) | |
| ▶ | 84.7% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
Compiled 175 to 106 computations (39.4% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 x y) (sqrt.f64 y)) |
| ✓ | cost-diff | 2304 | (*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (neg.f64 (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 1536 | (/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 y y) x) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 x y) y) |
| 2 988× | lower-*.f32 |
| 2 974× | lower-*.f64 |
| 1 814× | lower-/.f32 |
| 1 798× | lower-/.f64 |
| 1 780× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 120 |
| 0 | 39 | 96 |
| 1 | 79 | 96 |
| 2 | 244 | 96 |
| 3 | 1496 | 96 |
| 4 | 3251 | 96 |
| 5 | 6061 | 96 |
| 6 | 7518 | 96 |
| 0 | 8070 | 96 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
x |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x))) |
(neg.f64 (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) |
(*.f64 y (neg.f64 y)) |
y |
(neg.f64 y) |
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(/.f64 (/.f64 x y) (sqrt.f64 y)) |
(/.f64 x y) |
x |
y |
(sqrt.f64 y) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 x y) y) |
(/.f64 x (*.f64 y y)) |
(/.f64 x y) |
x |
y |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(/.f64 x (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
x |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
(/.f64 x (*.f64 y y)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x))) |
(/.f64 x (*.f64 y y)) |
(neg.f64 (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) |
(*.f64 y (*.f64 y (*.f64 x (neg.f64 x)))) |
(*.f64 y (neg.f64 y)) |
(neg.f64 (*.f64 y y)) |
y |
(neg.f64 y) |
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) (sqrt.f64 y)) |
(/.f64 x (*.f64 y (sqrt.f64 y))) |
(/.f64 x y) |
x |
y |
(sqrt.f64 y) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
#s(literal 1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 y) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 x y) (sqrt.f64 y)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 78.5% | (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) |
| ✓ | accuracy | 56.4% | (/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
| ✓ | accuracy | 85.3% | (/.f64 (*.f64 y y) x) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1 binary64) (*.f64 y y)) |
| ✓ | accuracy | 85.3% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 x y) y) |
| 40.0ms | 256× | 0 | valid |
Compiled 122 to 23 computations (81.1% saved)
ival-div: 12.0ms (45.6% of total)ival-mult: 10.0ms (38% of total)ival-sqrt: 2.0ms (7.6% of total)ival-neg: 2.0ms (7.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y y) x) (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x))) (patch (/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 x (*.f64 x x))) (patch (neg.f64 (*.f64 x (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (patch (*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (patch (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
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78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 52.0ms | y | @ | 0 | (* (* y (neg y)) (* x x)) |
| 3.0ms | x | @ | 0 | (/ (/ x y) (sqrt y)) |
| 1.0ms | y | @ | -inf | (* (/ (/ x y) (sqrt y)) (/ 1 (sqrt y))) |
| 1.0ms | y | @ | inf | (/ x y) |
| 1.0ms | y | @ | -inf | (/ (/ x y) (sqrt y)) |
| 1× | batch-egg-rewrite |
| 2 260× | lower-*.f32 |
| 2 248× | lower-*.f64 |
| 1 444× | lower-/.f32 |
| 1 428× | lower-/.f64 |
| 1 062× | lower-fma.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 97 |
| 0 | 39 | 73 |
| 1 | 129 | 69 |
| 2 | 781 | 67 |
| 3 | 5434 | 65 |
| 0 | 8510 | 65 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
(/.f64 (*.f64 y y) x) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x))) |
(neg.f64 (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(/.f64 (/.f64 x y) (sqrt.f64 y)) |
(sqrt.f64 y) |
(*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) |
(neg.f64 y) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))) #s(literal 0 binary64)) (/.f64 x (*.f64 y y))) |
(exp.f64 (log.f64 (/.f64 x (*.f64 y y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 x (*.f64 y y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))) #s(literal 0 binary64) (/.f64 x (*.f64 y y))) |
(neg.f64 (/.f64 x (*.f64 y y))) |
(/.f64 x (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x y)) (/.f64 (*.f64 x (*.f64 x x)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 x x) (*.f64 x (*.f64 y y))) |
(/.f64 (*.f64 x x) (*.f64 (/.f64 y x) (*.f64 x (*.f64 x y)))) |
(/.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y y) x) (*.f64 x x))) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 x (*.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 x (*.f64 x y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 y (sqrt.f64 y)) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) x)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (neg.f64 x) (*.f64 y y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 y (*.f64 x x)))) |
(/.f64 (*.f64 x (neg.f64 x)) (*.f64 x (*.f64 y y))) |
(/.f64 (*.f64 x (neg.f64 x)) (*.f64 (/.f64 y x) (*.f64 x (*.f64 x y)))) |
(/.f64 (*.f64 x (neg.f64 x)) (*.f64 (/.f64 (*.f64 y y) x) (*.f64 x x))) |
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(/.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 x (*.f64 x (/.f64 x (*.f64 y y)))) (*.f64 x x)) |
(/.f64 (*.f64 x (*.f64 x (/.f64 x (*.f64 y y)))) (*.f64 x (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 x x) y) (*.f64 x y)) |
(/.f64 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 y x) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 y y) (*.f64 x (*.f64 x x)))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x x)) y) (*.f64 x (*.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (/.f64 y (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 y y) (*.f64 x (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 x (*.f64 x x)))) |
(/.f64 (/.f64 x (*.f64 y (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 (/.f64 x (sqrt.f64 y)) (*.f64 y (sqrt.f64 y))) |
(/.f64 (/.f64 x (sqrt.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x (/.f64 x (*.f64 y y))) x) |
(/.f64 (*.f64 x (/.f64 x (*.f64 y y))) (neg.f64 x)) |
(/.f64 (*.f64 x (/.f64 x (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) x)) (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (/.f64 (*.f64 y y) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y (*.f64 x (*.f64 x y)))) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 y (*.f64 x (*.f64 x y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 x (*.f64 x (/.f64 x (*.f64 y y)))))) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) x)) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 y y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x y))) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (/.f64 (*.f64 x (*.f64 x x)) y))) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 x (*.f64 x y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 x (/.f64 x (*.f64 y y))))) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) x)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 x (*.f64 x y))))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 x (*.f64 x y))))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 x (*.f64 x y))))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x y)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 y y))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) x)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 x (*.f64 x y))))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x y)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y y))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 y y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 x x)) (*.f64 (/.f64 (*.f64 y (sqrt.f64 y)) x) (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 x y) (*.f64 x x)) (*.f64 x (*.f64 x y))) |
(/.f64 (*.f64 (/.f64 x (*.f64 y (sqrt.f64 y))) (*.f64 x x)) (*.f64 (sqrt.f64 y) (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (*.f64 x x)) (*.f64 (*.f64 y (sqrt.f64 y)) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 y (*.f64 x (*.f64 x y))) (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (*.f64 x (*.f64 x y)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x y)) (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 y y) (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y))) (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) y) #s(literal 1 binary64)) (*.f64 x (*.f64 x y))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 x (*.f64 y y)) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 x y) (*.f64 x (neg.f64 x))) (*.f64 x (*.f64 x y))) |
(/.f64 (/.f64 x #s(literal -1 binary64)) (*.f64 y y)) |
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x x))) x) (*.f64 x (*.f64 y y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 y y)) (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 y y)))) (/.f64 x (*.f64 y y))) |
(/.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) y) (/.f64 #s(literal 1 binary64) (*.f64 x x))) y) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x y))) |
(/.f64 (*.f64 (/.f64 (*.f64 x x) y) x) (*.f64 x (*.f64 x y))) |
(/.f64 (*.f64 (/.f64 x (*.f64 y y)) x) x) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))) (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (neg.f64 x))) (*.f64 y y)) |
(/.f64 (*.f64 (/.f64 x (*.f64 y y)) (*.f64 x (neg.f64 x))) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (neg.f64 x))) x) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 x x))) x) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 y y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) y) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x y))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 y y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y))) (neg.f64 (*.f64 x (*.f64 x x)))) x) |
(/.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) y) |
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 y (*.f64 x (*.f64 x y)))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (*.f64 y (*.f64 x (*.f64 x y)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y)) |
(/.f64 (/.f64 (/.f64 x (*.f64 y (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x)) y) |
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 y y))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (*.f64 x (*.f64 x y)) (/.f64 (*.f64 x (*.f64 x x)) y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
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(pow.f64 (*.f64 y (exp.f64 (log.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (exp.f64 (log.f64 x)) y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(*.f64 y (*.f64 x (*.f64 x y))) |
(*.f64 y (/.f64 (*.f64 x (*.f64 x y)) #s(literal -1 binary64))) |
(*.f64 y (/.f64 (*.f64 x (*.f64 x y)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (*.f64 y y) (*.f64 x (neg.f64 x))) |
(*.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (*.f64 y (*.f64 x (*.f64 x y))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (*.f64 x (*.f64 x y))) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 x (*.f64 x y)))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))) |
(*.f64 (neg.f64 x) (*.f64 x (*.f64 y y))) |
(*.f64 (*.f64 x (neg.f64 x)) (*.f64 y y)) |
(*.f64 (*.f64 x (*.f64 y y)) x) |
(*.f64 (*.f64 x (*.f64 y y)) (neg.f64 x)) |
(*.f64 (*.f64 x (*.f64 y y)) (/.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 x (*.f64 x y)) y) |
(*.f64 (*.f64 x y) (*.f64 x y)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x y)) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (*.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64)) (*.f64 y y)) |
y |
(+.f64 y #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) y) |
(exp.f64 (log.f64 y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fabs.f64 y) |
(-.f64 #s(literal 0 binary64) y) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))) |
(-.f64 (/.f64 #s(literal 0 binary64) y) y) |
(sqrt.f64 (*.f64 y y)) |
(fma.f64 y #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 y (/.f64 y y) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) y #s(literal 0 binary64)) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 y (*.f64 x (neg.f64 x))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 y (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)) #s(literal 0 binary64)) |
(neg.f64 y) |
(/.f64 y #s(literal 1 binary64)) |
(/.f64 y #s(literal -1 binary64)) |
(/.f64 y (sqrt.f64 #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (neg.f64 (*.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 y y) y) |
(/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(/.f64 (*.f64 x (*.f64 x y)) (*.f64 x x)) |
(/.f64 (*.f64 x (*.f64 x y)) (*.f64 x (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 y y)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 y y)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64)))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x y)) x) x) |
(/.f64 (/.f64 (*.f64 x (*.f64 x y)) x) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 x (*.f64 x y)) #s(literal -1 binary64)) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 x (*.f64 x y)) (neg.f64 x)) x) |
(pow.f64 y #s(literal 1 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/4 binary64)) |
(pow.f64 (/.f64 y (*.f64 y y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y y) (neg.f64 (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) |
(*.f64 y #s(literal 1 binary64)) |
(*.f64 y #s(literal -1 binary64)) |
(*.f64 y (/.f64 y y)) |
(*.f64 #s(literal 1 binary64) y) |
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 x x) (/.f64 y (*.f64 x (neg.f64 x)))) |
(*.f64 (*.f64 x x) (/.f64 y (*.f64 x x))) |
(*.f64 (sqrt.f64 y) (sqrt.f64 y)) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 (*.f64 x (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (neg.f64 (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (sqrt.f64 (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y)))) |
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y))) |
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 y)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y))) |
(pow.f64 y #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1/4 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 y))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/8 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 y)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 y)))) |
| 1× | egg-herbie |
| 8 056× | lower-fma.f64 |
| 8 056× | lower-fma.f32 |
| 2 514× | lower-*.f64 |
| 2 514× | lower-*.f32 |
| 1 478× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 1488 |
| 1 | 61 | 1488 |
| 2 | 168 | 1488 |
| 3 | 444 | 1488 |
| 4 | 1189 | 1488 |
| 5 | 3000 | 1488 |
| 6 | 4774 | 1488 |
| 7 | 5980 | 1488 |
| 8 | 6219 | 1488 |
| 9 | 6285 | 1488 |
| 10 | 6316 | 1488 |
| 11 | 6782 | 1488 |
| 0 | 8132 | 1488 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(* -1 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* x (sqrt (/ 1 (pow y 3)))) |
(sqrt y) |
(sqrt y) |
(sqrt y) |
(sqrt y) |
(sqrt y) |
(sqrt y) |
(sqrt y) |
(sqrt y) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
(sqrt (/ 1 y)) |
| Outputs |
|---|
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
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(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
Compiled 32 125 to 2 773 computations (91.4% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 146 | 4 | 2 150 |
| Fresh | 1 | 2 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 150 | 9 | 2 159 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f64 (/.f64 x y) y) |
| ▶ | 99.7% | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
| ✓ | 85.4% | (/.f64 x (*.f64 y y)) |
| 92.9% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y)))) | |
| ▶ | 99.4% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
| ▶ | 85.3% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) |
| ▶ | 75.8% | (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) |
| ▶ | 99.7% | (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | 84.7% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
Compiled 143 to 90 computations (37.1% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 y x) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 y x) y) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) y) y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 704 | (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 y y)) |
| ✓ | cost-diff | 320 | (/.f64 x (*.f64 x (*.f64 y y))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) |
| ✓ | cost-diff | 0 | (/.f64 y x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 1088 | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
| 7 628× | lower-*.f32 |
| 7 618× | lower-*.f64 |
| 3 340× | lower-pow.f64 |
| 3 340× | lower-pow.f32 |
| 3 334× | cube-prod |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 94 |
| 0 | 29 | 94 |
| 1 | 52 | 80 |
| 2 | 79 | 80 |
| 3 | 116 | 80 |
| 4 | 298 | 80 |
| 5 | 1075 | 80 |
| 6 | 2084 | 80 |
| 7 | 2411 | 80 |
| 8 | 2689 | 80 |
| 9 | 3053 | 80 |
| 10 | 3573 | 80 |
| 11 | 4256 | 80 |
| 12 | 4625 | 80 |
| 13 | 4819 | 80 |
| 14 | 4915 | 80 |
| 15 | 5015 | 80 |
| 16 | 5119 | 80 |
| 17 | 5993 | 80 |
| 18 | 6509 | 80 |
| 19 | 6670 | 80 |
| 20 | 6769 | 80 |
| 21 | 6867 | 80 |
| 22 | 6965 | 80 |
| 23 | 7063 | 80 |
| 24 | 7168 | 80 |
| 25 | 7329 | 80 |
| 26 | 7434 | 80 |
| 27 | 7539 | 80 |
| 0 | 8429 | 80 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 y x) |
x |
(*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) |
(/.f64 x (*.f64 x (*.f64 y y))) |
x |
(*.f64 x (*.f64 y y)) |
(*.f64 y y) |
y |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 x y) |
x |
y |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) |
(/.f64 (/.f64 #s(literal 1 binary64) y) y) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
y |
x |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(/.f64 x (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 y x) |
x |
(*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (*.f64 x (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
x |
(*.f64 x (*.f64 y y)) |
(*.f64 y (*.f64 y x)) |
(*.f64 y y) |
y |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x y) |
x |
y |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
(/.f64 x (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 y x) y) |
(/.f64 (*.f64 y y) x) |
(/.f64 y x) |
y |
x |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 y x) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 y x) y) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 #s(literal 1 binary64) y) y) |
| ✓ | accuracy | 85.3% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) |
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 90.8% | (/.f64 x (*.f64 x (*.f64 y y))) |
| ✓ | accuracy | 90.4% | (*.f64 x (*.f64 y y)) |
| ✓ | accuracy | 85.3% | (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) |
| ✓ | accuracy | 100.0% | (/.f64 y x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
| 34.0ms | 256× | 0 | valid |
Compiled 96 to 18 computations (81.3% saved)
ival-div: 13.0ms (60.7% of total)ival-mult: 8.0ms (37.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 x (*.f64 y y))) (patch (/.f64 x (*.f64 x (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 y y)) (patch (*.f64 x (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) (patch (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) y) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ())) ()) |
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#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) y) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) y) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) y) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) y) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow y 2)) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) y) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow y 2)) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) y) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow y 2)) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) y) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow y 2)) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) y) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) y) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) y) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) y) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) y) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor -inf y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor -inf y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor -inf y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor -inf y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ()) |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (/ y x) |
| 0.0ms | x | @ | 0 | (/ y x) |
| 0.0ms | x | @ | -inf | (/ y x) |
| 0.0ms | x | @ | 0 | (/ x (* x (* y y))) |
| 0.0ms | y | @ | -inf | (/ 1 y) |
| 1× | batch-egg-rewrite |
| 1 894× | lower-*.f32 |
| 1 884× | lower-*.f64 |
| 1 816× | lower-fma.f64 |
| 1 816× | lower-fma.f32 |
| 1 602× | lower-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 71 |
| 0 | 29 | 61 |
| 1 | 90 | 53 |
| 2 | 435 | 53 |
| 3 | 2106 | 53 |
| 4 | 7826 | 53 |
| 0 | 8471 | 53 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 y x) |
(*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) |
(/.f64 x (*.f64 x (*.f64 y y))) |
(*.f64 x (*.f64 y y)) |
(*.f64 y y) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 x y) |
(/.f64 (/.f64 #s(literal 1 binary64) y) y) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
(*.f64 (/.f64 y x) y) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))) |
(+.f64 (*.f64 (/.f64 x y) #s(literal 0 binary64)) (/.f64 x (*.f64 y y))) |
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))) (/.f64 x y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 x (*.f64 y y))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64)))) |
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64)) |
(pow.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 x x))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
(*.f64 y (/.f64 y x)) |
(*.f64 x (/.f64 (*.f64 y y) (*.f64 x x))) |
(*.f64 (/.f64 y x) y) |
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (*.f64 y (*.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (*.f64 y (*.f64 y x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (*.f64 y (*.f64 y x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) x)) |
(*.f64 (neg.f64 x) (/.f64 (*.f64 y y) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y y)) |
(*.f64 (*.f64 y x) (/.f64 (/.f64 y x) x)) |
(*.f64 (*.f64 y x) (/.f64 y (*.f64 x x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y y)) |
(*.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 x x))) (/.f64 x (*.f64 y y))) |
(*.f64 (sqrt.f64 y) (*.f64 (/.f64 y x) (sqrt.f64 y))) |
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)) (*.f64 y (sqrt.f64 y))) |
(*.f64 (/.f64 (/.f64 y x) x) (*.f64 y x)) |
(*.f64 (*.f64 (/.f64 y x) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (*.f64 y (sqrt.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))) |
(*.f64 (*.f64 y (sqrt.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 y))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 y)) (*.f64 y (sqrt.f64 y))) |
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y (*.f64 y x))) |
(*.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 y (*.f64 y x))) |
(*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) x) |
(*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 x)) |
(*.f64 (/.f64 y (*.f64 x x)) (*.f64 y x)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 y y)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 y y)) |
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 y x) (sqrt.f64 y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)) #s(literal 1 binary64)) (pow.f64 (*.f64 y (sqrt.f64 y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1 binary64)) (/.f64 (/.f64 y x) x)) |
(*.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 y (*.f64 y x))) |
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 y x) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1 binary64)) (pow.f64 (/.f64 y (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 y)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 y)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 y)) #s(literal 1 binary64)) (pow.f64 (*.f64 y (sqrt.f64 y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 y (*.f64 y x))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x y)) #s(literal -1 binary64)) (sqrt.f64 y)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) #s(literal -1 binary64)) (pow.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (/.f64 y x) (sqrt.f64 y))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 y) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 y) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (sqrt.f64 y)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (sqrt.f64 y))) |
(*.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) |
| 1× | egg-herbie |
| 18× | lower-*.f64 |
| 18× | lower-*.f32 |
| 16× | lower-/.f32 |
| 16× | lower-/.f64 |
| 8× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 1236 |
| 1 | 16 | 1236 |
| 2 | 23 | 1236 |
| 3 | 25 | 1236 |
| 0 | 25 | 1236 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
| Outputs |
|---|
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
Compiled 26 293 to 3 005 computations (88.6% saved)
10 alts after pruning (3 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 105 | 2 | 2 107 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 2 106 | 10 | 2 116 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
| ✓ | 99.8% | (/.f64 (/.f64 x y) y) |
| ✓ | 99.7% | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
| ✓ | 85.4% | (/.f64 x (*.f64 y y)) |
| ▶ | 92.9% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y)))) |
| ✓ | 99.4% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
| ✓ | 85.3% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) |
| ▶ | 75.8% | (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) |
| ✓ | 99.7% | (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | 84.7% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
Compiled 94 to 61 computations (35.1% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 5824 | (pow.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 6784 | (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 y) x) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y)))) |
| ✓ | cost-diff | 1600 | (*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y))) |
| ✓ | cost-diff | 0 | (*.f64 y x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y x) y) |
| ✓ | cost-diff | 320 | (/.f64 x (*.f64 (*.f64 y x) y)) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) |
| 4 476× | lower-*.f32 |
| 4 464× | lower-*.f64 |
| 2 308× | cube-prod |
| 2 080× | lower-/.f32 |
| 2 072× | lower-/.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 86 |
| 0 | 31 | 82 |
| 1 | 54 | 80 |
| 2 | 116 | 62 |
| 3 | 217 | 62 |
| 4 | 707 | 62 |
| 5 | 3011 | 62 |
| 6 | 4238 | 62 |
| 7 | 4416 | 62 |
| 8 | 4542 | 62 |
| 9 | 4695 | 62 |
| 10 | 4895 | 62 |
| 11 | 5163 | 62 |
| 12 | 5563 | 62 |
| 13 | 6000 | 62 |
| 14 | 6507 | 62 |
| 15 | 7094 | 62 |
| 16 | 7748 | 62 |
| 0 | 8055 | 62 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) |
(/.f64 x (*.f64 (*.f64 y x) y)) |
x |
(*.f64 (*.f64 y x) y) |
(*.f64 y x) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y)))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y))) |
(/.f64 (sqrt.f64 y) x) |
(sqrt.f64 y) |
y |
x |
(*.f64 y (sqrt.f64 y)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(pow.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (*.f64 (*.f64 y x) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
x |
(*.f64 (*.f64 y x) y) |
(*.f64 x (*.f64 y y)) |
(*.f64 y x) |
(*.f64 x y) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y)))) |
(/.f64 x (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y))) |
(/.f64 (*.f64 y y) x) |
(/.f64 (sqrt.f64 y) x) |
(sqrt.f64 y) |
y |
x |
(*.f64 y (sqrt.f64 y)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(/.f64 x (*.f64 y y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (pow.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 99.6% | (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 y (sqrt.f64 y)) |
| ✓ | accuracy | 99.6% | (/.f64 (sqrt.f64 y) x) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y)))) |
| ✓ | accuracy | 93.3% | (*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y))) |
| ✓ | accuracy | 100.0% | (*.f64 y x) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 y x) y) |
| ✓ | accuracy | 90.8% | (/.f64 x (*.f64 (*.f64 y x) y)) |
| ✓ | accuracy | 85.3% | (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) |
| 50.0ms | 256× | 0 | valid |
Compiled 88 to 20 computations (77.3% saved)
ival-mult: 26.0ms (66.3% of total)ival-div: 6.0ms (15.3% of total)ival-sqrt: 3.0ms (7.6% of total)ival-pow2: 2.0ms (5.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 (*.f64 y x) y)) (patch (/.f64 x (*.f64 (*.f64 y x) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y x) y) (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y))) (patch (*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sqrt.f64 y) x) (patch (/.f64 (sqrt.f64 y) x) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 1/2 binary64)) (patch (pow.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (*.f64 y (sqrt.f64 y)) (patch (*.f64 y (sqrt.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())) ()) |
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#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/2 binary64)) (patch (pow.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/2 binary64)) (patch (pow.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/2 binary64)) (patch (pow.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/2 binary64)) (patch (pow.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor inf x) (#s(alt (pow.f64 x #s(literal 1/2 binary64)) (patch (pow.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor inf x) (#s(alt (pow.f64 x #s(literal 1/2 binary64)) (patch (pow.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor inf x) (#s(alt (pow.f64 x #s(literal 1/2 binary64)) (patch (pow.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor inf x) (#s(alt (pow.f64 x #s(literal 1/2 binary64)) (patch (pow.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/2 binary64)) (patch (pow.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/2 binary64)) (patch (pow.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/2 binary64)) (patch (pow.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/2 binary64)) (patch (pow.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (/ 1 y)) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (/ 1 y)) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (/ 1 y)) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (/ 1 y)) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (pow y 3)) (taylor 0 y) (#s(alt (*.f64 y (sqrt.f64 y)) (patch (*.f64 y (sqrt.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (pow y 3)) (taylor 0 y) (#s(alt (*.f64 y (sqrt.f64 y)) (patch (*.f64 y (sqrt.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (pow y 3)) (taylor 0 y) (#s(alt (*.f64 y (sqrt.f64 y)) (patch (*.f64 y (sqrt.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (pow y 3)) (taylor 0 y) (#s(alt (*.f64 y (sqrt.f64 y)) (patch (*.f64 y (sqrt.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (pow y 3)) (taylor inf y) (#s(alt (*.f64 y (sqrt.f64 y)) (patch (*.f64 y (sqrt.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (pow y 3)) (taylor inf y) (#s(alt (*.f64 y (sqrt.f64 y)) (patch (*.f64 y (sqrt.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (pow y 3)) (taylor inf y) (#s(alt (*.f64 y (sqrt.f64 y)) (patch (*.f64 y (sqrt.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (pow y 3)) (taylor inf y) (#s(alt (*.f64 y (sqrt.f64 y)) (patch (*.f64 y (sqrt.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2))) (taylor -inf y) (#s(alt (*.f64 y (sqrt.f64 y)) (patch (*.f64 y (sqrt.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2))) (taylor -inf y) (#s(alt (*.f64 y (sqrt.f64 y)) (patch (*.f64 y (sqrt.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2))) (taylor -inf y) (#s(alt (*.f64 y (sqrt.f64 y)) (patch (*.f64 y (sqrt.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2))) (taylor -inf y) (#s(alt (*.f64 y (sqrt.f64 y)) (patch (*.f64 y (sqrt.f64 y)) #<representation binary64>) () ())) ()) |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (/ (sqrt y) x) |
| 1.0ms | x | @ | inf | (* (/ (sqrt y) x) (* y (sqrt y))) |
| 1.0ms | y | @ | -inf | (* (/ (sqrt y) x) (* y (sqrt y))) |
| 1.0ms | x | @ | -inf | (pow (* (/ 1 y) (pow x 1/2)) 2) |
| 1.0ms | x | @ | -inf | (* (/ 1 y) (pow x 1/2)) |
| 1× | batch-egg-rewrite |
| 2 638× | lower-*.f32 |
| 2 626× | lower-*.f64 |
| 2 512× | lower-/.f32 |
| 2 504× | lower-/.f64 |
| 2 478× | lower-fma.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 76 |
| 0 | 31 | 72 |
| 1 | 98 | 68 |
| 2 | 445 | 49 |
| 3 | 2884 | 49 |
| 0 | 8287 | 49 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) |
(/.f64 x (*.f64 (*.f64 y x) y)) |
(*.f64 (*.f64 y x) y) |
(*.f64 y x) |
(*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y)))) |
(/.f64 (sqrt.f64 y) x) |
(sqrt.f64 y) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) y) |
(*.f64 y (sqrt.f64 y)) |
| Outputs |
|---|
(exp.f64 (log.f64 (/.f64 x (*.f64 y y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (/.f64 (sqrt.f64 x) y)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (log.f64 x) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1 binary64)))) |
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 y) #s(literal -2 binary64)))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1 binary64) (log.f64 x))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal -2 binary64) (log.f64 x))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 x (*.f64 y y))) #s(literal -1 binary64) (log.f64 (*.f64 x x)))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 (log.f64 (*.f64 x (*.f64 y y))) #s(literal -1 binary64)))) |
(exp.f64 (+.f64 (log.f64 (/.f64 x (sqrt.f64 y))) (*.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)) #s(literal -1 binary64) (log.f64 (/.f64 x (sqrt.f64 y))))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 (*.f64 y (sqrt.f64 y)) x)) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 (*.f64 y (sqrt.f64 y)) x)) #s(literal -1 binary64) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1 binary64)) (neg.f64 (log.f64 x)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)) (neg.f64 (log.f64 x)))) |
(exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (log.f64 y))) (neg.f64 (log.f64 x)))) |
(exp.f64 (-.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (log.f64 (/.f64 (sqrt.f64 y) x)))) |
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(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 x (*.f64 y y)))) |
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(pow.f64 (*.f64 y y) #s(literal 3/4 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 6 binary64)) |
(pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) |
(*.f64 y (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) y) |
(*.f64 (*.f64 y (sqrt.f64 y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 5/4 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (pow.f64 y #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) |
| 1× | egg-herbie |
| 3 010× | lower-*.f64 |
| 3 010× | lower-*.f32 |
| 2 790× | lower-fma.f64 |
| 2 790× | lower-fma.f32 |
| 1 130× | div-sub |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 1212 |
| 1 | 101 | 1116 |
| 2 | 321 | 1116 |
| 3 | 1117 | 1116 |
| 4 | 3549 | 1116 |
| 5 | 5408 | 1116 |
| 6 | 6215 | 1116 |
| 7 | 6456 | 1116 |
| 8 | 6534 | 1116 |
| 9 | 6582 | 1116 |
| 10 | 6904 | 1116 |
| 11 | 7840 | 1116 |
| 0 | 8055 | 1116 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) |
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) |
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) |
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* (/ 1 x) (sqrt y)) |
(* (/ 1 x) (sqrt y)) |
(* (/ 1 x) (sqrt y)) |
(* (/ 1 x) (sqrt y)) |
(* (/ 1 x) (sqrt y)) |
(* (/ 1 x) (sqrt y)) |
(* (/ 1 x) (sqrt y)) |
(* (/ 1 x) (sqrt y)) |
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt y))) |
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt y))) |
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt y))) |
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt y))) |
(* (/ 1 x) (sqrt y)) |
(* (/ 1 x) (sqrt y)) |
(* (/ 1 x) (sqrt y)) |
(* (/ 1 x) (sqrt y)) |
(* (/ 1 x) (sqrt y)) |
(* (/ 1 x) (sqrt y)) |
(* (/ 1 x) (sqrt y)) |
(* (/ 1 x) (sqrt y)) |
(* (/ 1 x) (sqrt y)) |
(* (/ 1 x) (sqrt y)) |
(* (/ 1 x) (sqrt y)) |
(* (/ 1 x) (sqrt y)) |
(sqrt y) |
(sqrt y) |
(sqrt y) |
(sqrt y) |
(sqrt y) |
(sqrt y) |
(sqrt y) |
(sqrt y) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(sqrt (pow y 3)) |
(sqrt (pow y 3)) |
(sqrt (pow y 3)) |
(sqrt (pow y 3)) |
(sqrt (pow y 3)) |
(sqrt (pow y 3)) |
(sqrt (pow y 3)) |
(sqrt (pow y 3)) |
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) |
(/.f64 (*.f64 y y) x) |
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) |
(/.f64 (*.f64 y y) x) |
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) |
(/.f64 (*.f64 y y) x) |
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(/.f64 x (*.f64 y y)) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(/.f64 x (*.f64 y y)) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(/.f64 x (*.f64 y y)) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* (/ 1 x) (sqrt y)) |
(/.f64 (sqrt.f64 y) x) |
(* (/ 1 x) (sqrt y)) |
(/.f64 (sqrt.f64 y) x) |
(* (/ 1 x) (sqrt y)) |
(/.f64 (sqrt.f64 y) x) |
(* (/ 1 x) (sqrt y)) |
(/.f64 (sqrt.f64 y) x) |
(* (/ 1 x) (sqrt y)) |
(/.f64 (sqrt.f64 y) x) |
(* (/ 1 x) (sqrt y)) |
(/.f64 (sqrt.f64 y) x) |
(* (/ 1 x) (sqrt y)) |
(/.f64 (sqrt.f64 y) x) |
(* (/ 1 x) (sqrt y)) |
(/.f64 (sqrt.f64 y) x) |
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt y))) |
(/.f64 (sqrt.f64 y) x) |
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt y))) |
(/.f64 (sqrt.f64 y) x) |
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt y))) |
(/.f64 (sqrt.f64 y) x) |
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt y))) |
(/.f64 (sqrt.f64 y) x) |
(* (/ 1 x) (sqrt y)) |
(/.f64 (sqrt.f64 y) x) |
(* (/ 1 x) (sqrt y)) |
(/.f64 (sqrt.f64 y) x) |
(* (/ 1 x) (sqrt y)) |
(/.f64 (sqrt.f64 y) x) |
(* (/ 1 x) (sqrt y)) |
(/.f64 (sqrt.f64 y) x) |
(* (/ 1 x) (sqrt y)) |
(/.f64 (sqrt.f64 y) x) |
(* (/ 1 x) (sqrt y)) |
(/.f64 (sqrt.f64 y) x) |
(* (/ 1 x) (sqrt y)) |
(/.f64 (sqrt.f64 y) x) |
(* (/ 1 x) (sqrt y)) |
(/.f64 (sqrt.f64 y) x) |
(* (/ 1 x) (sqrt y)) |
(/.f64 (sqrt.f64 y) x) |
(* (/ 1 x) (sqrt y)) |
(/.f64 (sqrt.f64 y) x) |
(* (/ 1 x) (sqrt y)) |
(/.f64 (sqrt.f64 y) x) |
(* (/ 1 x) (sqrt y)) |
(/.f64 (sqrt.f64 y) x) |
(sqrt y) |
(sqrt.f64 y) |
(sqrt y) |
(sqrt.f64 y) |
(sqrt y) |
(sqrt.f64 y) |
(sqrt y) |
(sqrt.f64 y) |
(sqrt y) |
(sqrt.f64 y) |
(sqrt y) |
(sqrt.f64 y) |
(sqrt y) |
(sqrt.f64 y) |
(sqrt y) |
(sqrt.f64 y) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(/.f64 x (*.f64 y y)) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(/.f64 x (*.f64 y y)) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(/.f64 x (*.f64 y y)) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(/.f64 x (*.f64 y y)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/.f64 (sqrt.f64 x) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(sqrt (pow y 3)) |
(sqrt.f64 (*.f64 y (*.f64 y y))) |
(sqrt (pow y 3)) |
(sqrt.f64 (*.f64 y (*.f64 y y))) |
(sqrt (pow y 3)) |
(sqrt.f64 (*.f64 y (*.f64 y y))) |
(sqrt (pow y 3)) |
(sqrt.f64 (*.f64 y (*.f64 y y))) |
(sqrt (pow y 3)) |
(sqrt.f64 (*.f64 y (*.f64 y y))) |
(sqrt (pow y 3)) |
(sqrt.f64 (*.f64 y (*.f64 y y))) |
(sqrt (pow y 3)) |
(sqrt.f64 (*.f64 y (*.f64 y y))) |
(sqrt (pow y 3)) |
(sqrt.f64 (*.f64 y (*.f64 y y))) |
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 y (*.f64 y y))) |
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 y (*.f64 y y))) |
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 y (*.f64 y y))) |
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 y (*.f64 y y))) |
Compiled 17 027 to 2 227 computations (86.9% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 482 | 2 | 1 484 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 1 | 3 |
| Done | 0 | 7 | 7 |
| Total | 1 484 | 10 | 1 494 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f64 (/.f64 x y) y) |
| ✓ | 99.7% | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
| 91.2% | (/.f64 (sqrt.f64 x) (*.f64 (/.f64 y (sqrt.f64 x)) y)) | |
| ✓ | 85.4% | (/.f64 x (*.f64 y y)) |
| ✓ | 99.4% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
| ✓ | 85.3% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) |
| 99.5% | (*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) | |
| ✓ | 75.8% | (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) |
| ✓ | 99.7% | (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | 84.7% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
Compiled 237 to 108 computations (54.4% saved)
| Inputs |
|---|
(/.f64 x (*.f64 y y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(/.f64 (/.f64 x y) y) |
(*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) |
(*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) |
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 y (sqrt.f64 x)) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y)))) |
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (/.f64 x y) y) |
4 calls:
| 6.0ms | (/.f64 x (*.f64 y y)) |
| 5.0ms | x |
| 5.0ms | y |
| 5.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | (/.f64 x (*.f64 y y)) |
| 99.8% | 1 | (*.f64 y y) |
Compiled 18 to 11 computations (38.9% saved)
Total -0.5b remaining (-5%)
Threshold costs -0.5b (-5%)
| Inputs |
|---|
(/.f64 x (*.f64 y y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
| Outputs |
|---|
(/.f64 x (*.f64 y y)) |
4 calls:
| 2.0ms | x |
| 1.0ms | y |
| 1.0ms | (*.f64 y y) |
| 1.0ms | (/.f64 x (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.4% | 1 | x |
| 85.4% | 1 | y |
| 85.4% | 1 | (/.f64 x (*.f64 y y)) |
| 85.4% | 1 | (*.f64 y y) |
Compiled 18 to 11 computations (38.9% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 x y) y) |
(/.f64 x (*.f64 y y)) |
| Outputs |
|---|
(/.f64 (/.f64 x y) y) |
(/.f64 x (*.f64 y y)) |
| 940× | lower-*.f32 |
| 938× | lower-*.f64 |
| 784× | lower-/.f32 |
| 782× | lower-/.f64 |
| 194× | unpow-prod-down |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 8 |
| 0 | 6 | 8 |
| 1 | 18 | 8 |
| 2 | 77 | 8 |
| 3 | 360 | 8 |
| 0 | 2132 | 8 |
| 1× | fuel |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 19 to 10 computations (47.4% saved)
(negabs x)
(abs y)
Compiled 108 to 60 computations (44.4% saved)
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