
Time bar (total: 3.1s)
| 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)
| 417.0ms | 8 256× | 0 | valid |
ival-mult: 106.0ms (56.4% of total)ival-div: 73.0ms (38.9% of total)ival-true: 5.0ms (2.7% of total)ival-assert: 3.0ms (1.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 43 | 0 | - | 1 | (8.690265010876016e-106 -2.067626073054968e-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 | 23 | 0 |
| ↳ | (*.f64 y y) | overflow | 70 | |
/.f64 | (/.f64 x (*.f64 y y)) | n/u | 19 | 0 |
| ↳ | (*.f64 y y) | underflow | 59 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 42 | 1 |
| - | 0 | 213 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 42 | 0 | 1 |
| - | 0 | 0 | 213 |
| number | freq |
|---|---|
| 0 | 214 |
| 1 | 42 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 19.0ms | 512× | 0 | valid |
Compiled 31 to 16 computations (48.4% saved)
ival-mult: 4.0ms (52% of total)ival-div: 3.0ms (39% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% 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)
Compiled 7 to 4 computations (42.9% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 84.7% | (/.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 | 0 | (*.f64 y y) | |
| accuracy | 9.812223244747004 | (/.f64 x (*.f64 y y)) |
| 32.0ms | 256× | 0 | valid |
Compiled 12 to 6 computations (50% saved)
ival-div: 2.0ms (55.1% of total)ival-mult: 2.0ms (55.1% 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 | @ | 0 | (/ x (* y y)) |
| 1.0ms | x | @ | inf | (/ x (* y y)) |
| 0.0ms | x | @ | -inf | (/ x (* y y)) |
| 0.0ms | y | @ | inf | (* y 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) |
| 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)) |
Compiled 1 871 to 346 computations (81.5% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 177 | 6 | 183 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 177 | 7 | 184 |
| Status | Accuracy | Program |
|---|---|---|
| 99.6% | (/.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)) |
| ✓ | 84.7% | (/.f64 x (*.f64 y y)) |
| ▶ | 84.1% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
| ▶ | 99.8% | (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
| ▶ | 84.4% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
Compiled 115 to 72 computations (37.4% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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)) | |
| 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 #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 #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) |
| 40× | lower-*.f32 |
| 34× | lower-*.f64 |
| 30× | lower-/.f32 |
| 20× | associate-*r* |
| 16× | lift-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 78 |
| 0 | 25 | 70 |
| 1 | 40 | 70 |
| 2 | 50 | 70 |
| 3 | 80 | 70 |
| 4 | 86 | 70 |
| 0 | 86 | 70 |
| 1× | iter limit |
| 1× | saturated |
| 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 (/.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 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
(/.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 |
| 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 (/.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 #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 (/.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 |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.18359375 | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.47856118175865614 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) | |
| accuracy | 10.223677582049776 | (/.f64 (*.f64 y y) x) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.1328125 | (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.4613647519745023 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| accuracy | 9.6698620900083 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.1171875 | (/.f64 (/.f64 x y) y) |
| 33.0ms | 256× | 0 | valid |
Compiled 80 to 16 computations (80% saved)
ival-div: 16.0ms (78.6% of total)ival-mult: 4.0ms (19.6% 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 (/.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 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) 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 (/.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 y x) (patch (/.f64 y x) #<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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
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#s(alt (/ x (pow y 2)) (taylor inf y) (#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 (/ x (pow y 2)) (taylor inf y) (#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 (/ x (pow y 2)) (taylor inf y) (#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 (/ x (pow y 2)) (taylor inf y) (#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 (/ x (pow y 2)) (taylor -inf y) (#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 (/ x (pow y 2)) (taylor -inf y) (#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 (/ x (pow y 2)) (taylor -inf y) (#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 (/ x (pow y 2)) (taylor -inf y) (#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 (/ x (pow y 2)) (taylor 0 x) (#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 (/ x (pow y 2)) (taylor 0 x) (#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 (/ x (pow y 2)) (taylor 0 x) (#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 (/ x (pow y 2)) (taylor 0 x) (#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 (/ x (pow y 2)) (taylor inf x) (#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 (/ x (pow y 2)) (taylor inf x) (#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 (/ x (pow y 2)) (taylor inf x) (#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 (/ x (pow y 2)) (taylor inf x) (#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 (/ x (pow y 2)) (taylor -inf x) (#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 (/ x (pow y 2)) (taylor -inf x) (#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 (/ x (pow y 2)) (taylor -inf x) (#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 (/ x (pow y 2)) (taylor -inf x) (#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 (/ (pow y 2) x) (taylor 0 y) (#s(alt (/.f64 (*.f64 y y) x) (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (/.f64 (*.f64 y y) x) (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (/.f64 (*.f64 y y) x) (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (/.f64 (*.f64 y y) x) (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf y) (#s(alt (/.f64 (*.f64 y y) x) (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf y) (#s(alt (/.f64 (*.f64 y y) x) (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf y) (#s(alt (/.f64 (*.f64 y y) x) (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf y) (#s(alt (/.f64 (*.f64 y y) x) (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor -inf y) (#s(alt (/.f64 (*.f64 y y) x) (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor -inf y) (#s(alt (/.f64 (*.f64 y y) x) (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor -inf y) (#s(alt (/.f64 (*.f64 y y) x) (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor -inf y) (#s(alt (/.f64 (*.f64 y y) x) (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 y y) x) (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 y y) x) (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 y y) x) (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 y y) x) (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (/.f64 (*.f64 y y) x) (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (/.f64 (*.f64 y y) x) (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (/.f64 (*.f64 y y) x) (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (/.f64 (*.f64 y y) x) (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (/.f64 (*.f64 y y) x) (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (/.f64 (*.f64 y y) x) (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (/.f64 (*.f64 y y) x) (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (/.f64 (*.f64 y y) x) (patch (/.f64 (*.f64 y 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 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 (/ 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>) () ())) ()) |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (/ (/ 1 y) (/ y x)) |
| 1.0ms | y | @ | inf | (/ x y) |
| 0.0ms | x | @ | inf | (/ x y) |
| 0.0ms | x | @ | -inf | (/ x y) |
| 0.0ms | y | @ | -inf | (/ y x) |
| 1× | egg-herbie |
| 16× | lower-/.f32 |
| 16× | lower-/.f64 |
| 6× | lower-*.f64 |
| 6× | lower-*.f32 |
| 4× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 996 |
| 1 | 14 | 996 |
| 2 | 17 | 996 |
| 3 | 18 | 996 |
| 0 | 18 | 996 |
| 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)) |
(/ 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)) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 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)) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (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)) |
(/ 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) |
| 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)) |
(/ 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) |
(/ 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)) |
(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)) |
(/ 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) |
(/ 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) |
(/ 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)) |
(/ 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) |
| 2 052× | lower-*.f32 |
| 2 046× | lower-*.f64 |
| 1 662× | lower-fma.f64 |
| 1 662× | lower-fma.f32 |
| 1 630× | lower-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 55 |
| 0 | 25 | 47 |
| 1 | 83 | 45 |
| 2 | 371 | 45 |
| 3 | 1562 | 45 |
| 4 | 7444 | 45 |
| 0 | 8217 | 45 |
| 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 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
(/.f64 (*.f64 y y) x) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(/.f64 y x) |
| 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 (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 (sqrt.f64 (/.f64 x (*.f64 y y)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 y (/.f64 y x)) x))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (/.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 y (/.f64 y x))) #s(literal -1/2 binary64) (*.f64 (log.f64 (*.f64 y (/.f64 y x))) #s(literal -1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y 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 y))) |
(/.f64 x (*.f64 y y)) |
(/.f64 y (*.f64 y (*.f64 y (/.f64 y x)))) |
(/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x))) |
(/.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (/.f64 y x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(/.f64 (/.f64 y x) (*.f64 (/.f64 y x) (*.f64 y (/.f64 y x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 y x))) |
(/.f64 (neg.f64 x) (*.f64 y y)) |
(/.f64 (/.f64 x y) 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 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(/.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 y (/.f64 x y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 y y) x)) |
(/.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) x)) (*.f64 (/.f64 y x) (*.f64 y y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y (/.f64 y x)) x)) |
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 x (neg.f64 x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal -1 binary64) x))) (/.f64 x y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)))) (*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))) (/.f64 x y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y)) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 y x))) x) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 y x))) (neg.f64 x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))) (/.f64 x y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (/.f64 y x)) x)) (*.f64 (neg.f64 x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (*.f64 (neg.f64 x) (/.f64 (*.f64 y (/.f64 y x)) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 (*.f64 y (/.f64 y x)) x))) (*.f64 (neg.f64 x) (/.f64 y x))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 y y))) (*.f64 y y)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (*.f64 y y))) (*.f64 y y)) |
(/.f64 (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(/.f64 (*.f64 (sqrt.f64 y) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y)) |
(/.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 (*.f64 y (/.f64 y x)) x)) |
(/.f64 (*.f64 (/.f64 (*.f64 y (/.f64 y x)) x) #s(literal -1 binary64)) (/.f64 y x)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (/.f64 y x)) x)) (/.f64 y x)) |
(pow.f64 (/.f64 y x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 y (/.f64 #s(literal 1 binary64) x)) |
(*.f64 y (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 y x)) |
(*.f64 (*.f64 y (/.f64 y x)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 y x) #s(literal 1 binary64)) |
(*.f64 (/.f64 y x) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 y x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) y) |
(*.f64 (/.f64 #s(literal -1 binary64) x) y) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))) |
(*.f64 (sqrt.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 y))) |
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (neg.f64 x))) |
(*.f64 (sqrt.f64 y) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x)) |
(*.f64 (sqrt.f64 y) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 y x)) x))) |
(*.f64 (/.f64 (*.f64 y (/.f64 y x)) x) (/.f64 x y)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal -1 binary64)) (sqrt.f64 y)) |
(*.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal -1 binary64)) (sqrt.f64 y)) |
(*.f64 (pow.f64 (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 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64))) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 y (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(*.f64 (/.f64 y (neg.f64 (*.f64 x x))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
Compiled 25 074 to 2 473 computations (90.1% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 908 | 2 | 1 910 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 911 | 6 | 1 917 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f64 (/.f64 x y) y) |
| ▶ | 99.7% | (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) |
| ✓ | 84.7% | (/.f64 x (*.f64 y y)) |
| ▶ | 99.2% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
| ✓ | 99.8% | (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | 84.4% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
Compiled 52 to 33 computations (36.5% saved)
| 1× | egg-herbie |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) x) y) | |
| cost-diff | 1088 | (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) | |
| 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)) |
| 68× | lower-*.f32 |
| 64× | lower-*.f64 |
| 54× | times-frac |
| 50× | lower-/.f32 |
| 40× | lower-/.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 41 |
| 0 | 17 | 37 |
| 1 | 31 | 37 |
| 2 | 48 | 37 |
| 3 | 81 | 33 |
| 4 | 93 | 33 |
| 5 | 130 | 33 |
| 6 | 155 | 33 |
| 0 | 155 | 33 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
y |
x |
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(*.f64 (/.f64 #s(literal 1 binary64) x) y) |
(/.f64 #s(literal 1 binary64) x) |
x |
| Outputs |
|---|
(/.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 |
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(/.f64 x (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(*.f64 (/.f64 #s(literal 1 binary64) x) y) |
(/.f64 y x) |
(/.f64 #s(literal 1 binary64) x) |
x |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.18359375 | (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) | |
| accuracy | 0.19921875 | (*.f64 (/.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0.14453125 | (*.f64 (/.f64 y x) y) | |
| accuracy | 0.47856118175865614 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
| 53.0ms | 256× | 0 | valid |
Compiled 43 to 12 computations (72.1% saved)
ival-div: 8.0ms (73.4% of total)ival-mult: 3.0ms (27.5% 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 #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>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#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>) () ())) ()) |
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36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/ 1 x) |
| 0.0ms | x | @ | -inf | (/ 1 x) |
| 0.0ms | y | @ | 0 | (/ 1 (* (/ y x) y)) |
| 0.0ms | x | @ | inf | (/ y x) |
| 0.0ms | y | @ | -inf | (/ 1 (* (/ y x) y)) |
| 1× | egg-herbie |
| 14× | lower-/.f32 |
| 14× | lower-/.f64 |
| 6× | lower-*.f64 |
| 6× | lower-*.f32 |
| 2× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 576 |
| 1 | 13 | 576 |
| 2 | 16 | 576 |
| 3 | 17 | 576 |
| 0 | 17 | 576 |
| 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) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (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) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ 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) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 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)) |
(/ (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) |
(/ 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)) |
(/ 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) |
(/ 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) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
| 2 462× | lower-fma.f64 |
| 2 462× | lower-fma.f32 |
| 2 356× | lower-*.f32 |
| 2 352× | lower-*.f64 |
| 1 446× | lower-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 35 |
| 0 | 17 | 31 |
| 1 | 64 | 27 |
| 2 | 272 | 27 |
| 3 | 1343 | 27 |
| 4 | 6117 | 27 |
| 0 | 8162 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) y) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 x (*.f64 y y))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64)) (/.f64 x (*.f64 y y))) |
(+.f64 (*.f64 (/.f64 x y) #s(literal 0 binary64)) (/.f64 x (*.f64 y y))) |
(exp.f64 (log.f64 (/.f64 x (*.f64 y y)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 (*.f64 y y) x))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 (*.f64 y y) x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y))) |
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y))) |
(fma.f64 (/.f64 x y) #s(literal 0 binary64) (/.f64 x (*.f64 y 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 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 x #s(literal 1/2 binary64))))) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(/.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 (*.f64 y y) x))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) x)) |
(/.f64 (neg.f64 x) (*.f64 y y)) |
(/.f64 (/.f64 x y) 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 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(/.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64)) |
(/.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y y))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 y y) x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 x #s(literal 1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 y x) x)) (*.f64 (/.f64 y x) (*.f64 y y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 y x) (neg.f64 x))) (*.f64 (/.f64 y x) (*.f64 y y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 x (*.f64 y y)))) (/.f64 y x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (/.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 x #s(literal 1/2 binary64))))) (*.f64 (/.f64 y x) (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 (*.f64 y y) x) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 x y))) (/.f64 (*.f64 y y) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (*.f64 y y)) #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 #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 (/.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(/.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 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) y)) (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 y y) x))) |
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) |
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y y))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (neg.f64 x)) |
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(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y y) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(neg.f64 (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64)))) |
(pow.f64 y #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y y)) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) |
(exp.f64 (neg.f64 (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 x))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) x)) |
(pow.f64 x #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) x) |
Compiled 13 919 to 1 797 computations (87.1% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 024 | 1 | 1 025 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 4 | 4 |
| Total | 1 025 | 6 | 1 031 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f64 (/.f64 x y) y) |
| ✓ | 84.7% | (/.f64 x (*.f64 y y)) |
| ✓ | 99.2% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
| ▶ | 99.2% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) |
| ✓ | 99.8% | (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | 84.4% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
Compiled 52 to 33 computations (36.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) x) y) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) |
| 68× | lower-*.f32 |
| 64× | lower-*.f64 |
| 50× | lower-/.f32 |
| 46× | lower-/.f64 |
| 38× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 27 |
| 0 | 11 | 27 |
| 1 | 21 | 21 |
| 2 | 40 | 19 |
| 3 | 74 | 19 |
| 4 | 106 | 19 |
| 5 | 132 | 19 |
| 0 | 132 | 19 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) |
(*.f64 (/.f64 #s(literal 1 binary64) x) y) |
(/.f64 #s(literal 1 binary64) x) |
x |
y |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) |
(/.f64 x (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) |
(/.f64 (*.f64 y y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) y) |
(/.f64 y x) |
(/.f64 #s(literal 1 binary64) x) |
x |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.14453125 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) | |
| accuracy | 0.19921875 | (*.f64 (/.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 0.47856118175865614 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) |
| 20.0ms | 256× | 0 | valid |
Compiled 29 to 9 computations (69% saved)
ival-div: 3.0ms (44.5% of total)ival-mult: 3.0ms (44.5% 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 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor -inf y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor -inf y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor -inf y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor -inf y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (* (* (/ 1 x) y) y) |
| 0.0ms | x | @ | 0 | (/ 1 (* (* (/ 1 x) y) y)) |
| 0.0ms | x | @ | inf | (/ 1 (* (* (/ 1 x) y) y)) |
| 0.0ms | x | @ | -inf | (/ 1 (* (* (/ 1 x) y) y)) |
| 0.0ms | y | @ | -inf | (/ 1 (* (* (/ 1 x) y) y)) |
| 1× | egg-herbie |
| 12× | lower-/.f32 |
| 12× | lower-/.f64 |
| 6× | lower-*.f64 |
| 6× | lower-*.f32 |
| 2× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 348 |
| 1 | 12 | 348 |
| 2 | 15 | 348 |
| 3 | 16 | 348 |
| 0 | 16 | 348 |
| 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)) |
(/ 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) x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 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)) |
(/ 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) |
(/ (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) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
| 2 888× | lower-fma.f64 |
| 2 888× | lower-fma.f32 |
| 1 874× | prod-exp |
| 1 750× | lower-*.f32 |
| 1 746× | lower-*.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 24 |
| 0 | 11 | 24 |
| 1 | 35 | 16 |
| 2 | 148 | 16 |
| 3 | 622 | 16 |
| 4 | 3843 | 16 |
| 0 | 9290 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) y) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y) |
(/.f64 #s(literal 1 binary64) x) |
| 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))) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 x (*.f64 y y))) |
(exp.f64 (log.f64 (/.f64 x (*.f64 y y)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 (*.f64 y y) x))) #s(literal -1/2 binary64))) |
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(*.f64 (/.f64 (*.f64 y y) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 y) (/.f64 (/.f64 y x) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 y x) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 y x) (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y)) |
(*.f64 (/.f64 (/.f64 y x) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) (/.f64 y (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))) (/.f64 y (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (/.f64 y (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 (*.f64 y y) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 (*.f64 y (/.f64 y (sqrt.f64 x))) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 (/.f64 (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 x x)) |
(*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) x) |
(*.f64 (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) |
(exp.f64 (neg.f64 (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) |
(neg.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64)))) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) x) |
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) (sqrt.f64 x)) |
(pow.f64 x #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x)) |
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -3/4 binary64))) |
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))) |
Compiled 6 284 to 1 168 computations (81.4% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 510 | 0 | 510 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 510 | 6 | 516 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f64 (/.f64 x y) y) |
| ✓ | 84.7% | (/.f64 x (*.f64 y y)) |
| ✓ | 99.2% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
| ✓ | 99.2% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) |
| ✓ | 99.8% | (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | 84.4% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
Compiled 126 to 58 computations (54% 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 y) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
| Outputs |
|---|
(/.f64 (/.f64 x y) y) |
4 calls:
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (*.f64 y y) |
| 3.0ms | (/.f64 x (*.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 -0.2b remaining (-1.7%)
Threshold costs -0.2b (-1.7%)
| 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 | (/.f64 x (*.f64 y y)) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.7% | 1 | x |
| 84.7% | 1 | y |
| 84.7% | 1 | (/.f64 x (*.f64 y y)) |
| 84.7% | 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× | done |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 24 to 12 computations (50% saved)
(negabs x)
(abs y)
Compiled 108 to 60 computations (44.4% saved)
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