
Time bar (total: 3.0s)
| 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)
| 397.0ms | 8 256× | 0 | valid |
ival-div: 90.0ms (47.6% of total)ival-mult: 90.0ms (47.6% of total)ival-true: 6.0ms (3.2% of total)ival-assert: 3.0ms (1.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 35 | 0 | - | 2 | (1.0753378445210767e-60 -2.5044368073054933e-161) | (/.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 | 17 | 0 |
| ↳ | (*.f64 y y) | overflow | 67 | |
/.f64 | (/.f64 x (*.f64 y y)) | n/u | 16 | 0 |
| ↳ | (*.f64 y y) | underflow | 67 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 33 | 2 |
| - | 0 | 221 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 33 | 0 | 2 |
| - | 0 | 0 | 221 |
| number | freq |
|---|---|
| 0 | 223 |
| 1 | 33 |
| 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 (50.4% of total)ival-div: 3.0ms (37.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 446× | times-frac |
| 99× | associate-*r* |
| 99× | associate-*l* |
| 87× | associate-/r* |
| 61× | 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 |
|---|---|---|
| ▶ | 87.6% | (/.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)) |
| 3× | lower-/.f32 |
| 2× | lower-/.f64 |
| 1× | lift-/.f64 |
| 1× | lift-*.f64 |
| 1× | 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 | 7.923428365466156 | (/.f64 x (*.f64 y y)) |
| 9.0ms | 256× | 0 | valid |
Compiled 12 to 6 computations (50% saved)
ival-div: 2.0ms (52.8% of total)ival-mult: 2.0ms (52.8% 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 | |
|---|---|---|---|---|
| 17.0ms | x | @ | 0 | (/ x (* y y)) |
| 1.0ms | y | @ | 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 |
| 3× | lower-/.f32 |
| 3× | lower-/.f64 |
| 1× | lower-*.f64 |
| 1× | lower-pow.f64 |
| 1× | 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) |
| 470× | lower-*.f32 |
| 469× | lower-*.f64 |
| 397× | frac-2neg |
| 392× | lower-/.f32 |
| 391× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 8 |
| 0 | 6 | 10 |
| 1 | 18 | 10 |
| 2 | 77 | 10 |
| 3 | 360 | 10 |
| 4 | 2132 | 10 |
| 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 (/.f64 (neg.f64 x) (neg.f64 (*.f64 (*.f64 (*.f64 y y) y) y))) (*.f64 y y)) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y y) y) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64))) |
(*.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 (neg.f64 x) y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 y))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 x y) (sqrt.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 y))) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 y))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(*.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) y) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (neg.f64 y) y))) |
(*.f64 (/.f64 x y) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(*.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 (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (/.f64 y x) y))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (/.f64 y x) y) (*.f64 (/.f64 y x) y)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) y) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) x) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 (*.f64 x x))) x) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 y x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (/.f64 x (*.f64 (neg.f64 y) y)))) (/.f64 x (*.f64 (neg.f64 y) y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (*.f64 (neg.f64 y) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (/.f64 x (*.f64 (neg.f64 y) y)) (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (neg.f64 y) y)))))) |
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) (*.f64 y x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 (*.f64 x x) x))) (*.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 (*.f64 x x) x))) (*.f64 (neg.f64 y) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) (*.f64 (*.f64 y y) x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 y y) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) y)) (*.f64 x y)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x 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 (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 x x) (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 x)) #s(literal 1 binary64)) (*.f64 x (*.f64 (neg.f64 y) y))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 y y))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 (neg.f64 y) y) (/.f64 (neg.f64 x) y))) (*.f64 (*.f64 (neg.f64 y) y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (*.f64 (neg.f64 y) y) (/.f64 x y))) (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 x))) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) y) x)) (*.f64 (*.f64 (*.f64 y y) y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 y) y) x)) (*.f64 (neg.f64 y) y)) (*.f64 (*.f64 (neg.f64 y) y) (/.f64 (*.f64 (neg.f64 y) y) x))) |
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) |
(/.f64 (/.f64 x (*.f64 (neg.f64 y) y)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(/.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 y) y) x)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y)) |
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(/.f64 x (*.f64 y y)) |
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) y))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 0 binary64) (/.f64 x (*.f64 y y))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (neg.f64 y) y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) y)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 0 binary64)) (/.f64 x (*.f64 y y))) |
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y)) |
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 y y) y) y))) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y y) y) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 y y) y) y)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) y) y))) (*.f64 y y)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y y) y) y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 (neg.f64 y) y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (neg.f64 (*.f64 (*.f64 (*.f64 y y) y) y))) |
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y)) |
(/.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 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) |
(/.f64 (*.f64 y y) #s(literal 1 binary64)) |
(/.f64 y (/.f64 #s(literal 1 binary64) y)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) #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 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) #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 (neg.f64 y) (*.f64 (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 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 y y #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) |
(exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 y y)) |
(+.f64 (*.f64 y y) #s(literal 0 binary64)) |
Compiled 1 871 to 346 computations (81.5% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 179 | 4 | 183 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 179 | 5 | 184 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f64 (/.f64 x y) y) |
| ▶ | 99.8% | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
| ✓ | 87.6% | (/.f64 x (*.f64 y y)) |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
| ▶ | 87.3% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
Compiled 41 to 26 computations (36.6% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 384 | (/.f64 (/.f64 x y) y) | |
| 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 x) | |
| cost-diff | 0 | (*.f64 (/.f64 y x) y) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) | |
| cost-diff | 0 | (*.f64 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) |
| 20× | lower-*.f32 |
| 17× | lower-*.f64 |
| 15× | lower-/.f32 |
| 8× | lower-/.f64 |
| 7× | lift-/.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 62 |
| 0 | 23 | 64 |
| 1 | 34 | 56 |
| 2 | 42 | 56 |
| 3 | 71 | 56 |
| 4 | 74 | 56 |
| 5 | 76 | 56 |
| 0 | 76 | 56 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
x |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
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 |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(/.f64 x (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
x |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
(/.f64 x (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
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 |
(/.f64 (/.f64 x y) y) |
(/.f64 x (*.f64 y y)) |
(/.f64 x y) |
x |
y |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.125 | (/.f64 (/.f64 x y) y) | |
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.15072250976844204 | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) | |
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0.14453125 | (*.f64 (/.f64 y x) y) | |
| accuracy | 0.211187111758316 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.325014597070364 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| accuracy | 8.107350608808897 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
| 30.0ms | 256× | 0 | valid |
Compiled 64 to 15 computations (76.6% saved)
ival-div: 11.0ms (56% of total)ival-mult: 8.0ms (40.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y 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 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ x (pow y 2)) (taylor 0 y) (#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 (/ x (pow y 2)) (taylor 0 y) (#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 (/ x (pow y 2)) (taylor 0 y) (#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 (/ x (pow y 2)) (taylor 0 y) (#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 (/ x (pow y 2)) (taylor inf y) (#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 (/ x (pow y 2)) (taylor inf y) (#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 (/ x (pow y 2)) (taylor inf y) (#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 (/ x (pow y 2)) (taylor inf y) (#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 (/ x (pow y 2)) (taylor -inf y) (#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 (/ x (pow y 2)) (taylor -inf y) (#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 (/ x (pow y 2)) (taylor -inf y) (#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 (/ x (pow y 2)) (taylor -inf y) (#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 (/ x (pow y 2)) (taylor 0 x) (#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 (/ x (pow y 2)) (taylor 0 x) (#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 (/ x (pow y 2)) (taylor 0 x) (#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 (/ x (pow y 2)) (taylor 0 x) (#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 (/ x (pow y 2)) (taylor inf x) (#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 (/ x (pow y 2)) (taylor inf x) (#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 (/ x (pow y 2)) (taylor inf x) (#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>) () ())) ()) |
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#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 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>) () ())) ()) |
#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 y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (* (/ y x) y) |
| 0.0ms | y | @ | inf | (/ y x) |
| 0.0ms | y | @ | -inf | (/ y x) |
| 0.0ms | x | @ | 0 | (* (/ y x) y) |
| 0.0ms | x | @ | -inf | (/ x y) |
| 1× | egg-herbie |
| 8× | lower-/.f32 |
| 8× | lower-/.f64 |
| 3× | lower-*.f64 |
| 3× | lower-*.f32 |
| 2× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 876 |
| 1 | 14 | 876 |
| 2 | 17 | 876 |
| 3 | 18 | 876 |
| 0 | 18 | 876 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ 1 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)) |
(/ 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) |
| Outputs |
|---|
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(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)) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ 1 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)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
| 1 409× | lower-fma.f64 |
| 1 409× | lower-fma.f32 |
| 976× | lower-*.f32 |
| 973× | lower-*.f64 |
| 750× | lower--.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 48 |
| 0 | 23 | 42 |
| 1 | 73 | 40 |
| 2 | 329 | 40 |
| 3 | 1363 | 40 |
| 4 | 6488 | 40 |
| 0 | 8021 | 40 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 y y)) |
(*.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (*.f64 (*.f64 y y) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) (*.f64 y y))) (*.f64 (/.f64 y x) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)))) (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) (*.f64 y y))) |
(*.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 1/2 binary64))) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (/.f64 (neg.f64 x) (*.f64 (sqrt.f64 y) y)) (/.f64 #s(literal 1 binary64) (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) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 1/2 binary64))) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (/.f64 y x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(*.f64 (/.f64 (/.f64 x y) (*.f64 (*.f64 y y) y)) (*.f64 y y)) |
(*.f64 (/.f64 (/.f64 x y) (*.f64 y y)) y) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (/.f64 y x) y) x)) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (/.f64 (*.f64 (/.f64 y x) y) x)) |
(*.f64 (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 y y)) |
(*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (*.f64 (*.f64 y y) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)))) (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) (*.f64 y y))) |
(*.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) y)) x)) |
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) (*.f64 y y))) (*.f64 (/.f64 y x) y)) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sqrt.f64 y) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 y) y) #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 y) y) #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sqrt.f64 y) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)) (pow.f64 (*.f64 (sqrt.f64 y) (/.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) y)) (/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) y)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) y)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x)) |
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) y)) x)) |
(*.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) y))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) y))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) y)) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) y)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) y)) |
(*.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64)) |
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) y)) x)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y)) |
(*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) x) |
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 (/.f64 y x) y))) |
(pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) (*.f64 y y)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) x) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (/.f64 x y)) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal -1 binary64) y)) (*.f64 (*.f64 x x) (/.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 #s(literal -1 binary64) (*.f64 (*.f64 y y) y)) (/.f64 x 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 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) (/.f64 x y)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 (*.f64 x x))) x) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 y y)))) (/.f64 x (*.f64 y y))) |
(/.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 y y) (/.f64 x (*.f64 y y)))) (*.f64 y y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (neg.f64 x))) (*.f64 (*.f64 y y) (*.f64 y y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (/.f64 x y))) (*.f64 (*.f64 y y) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) x)) (*.f64 (*.f64 y y) (*.f64 y y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) (*.f64 (/.f64 y x) y)) |
(/.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) (*.f64 y (/.f64 x (*.f64 y y)))) y) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y y)))) (/.f64 y x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y x)) (*.f64 (*.f64 y y) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x y))) (*.f64 y y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.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 y))) (*.f64 (/.f64 y x) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) y))) (/.f64 (*.f64 (/.f64 y x) y) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 x (*.f64 y y)))) (/.f64 y x)) |
(/.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 y (neg.f64 x))) (*.f64 (*.f64 y y) y)) |
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(*.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 y y) y)) (*.f64 y y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 y x) y) x)) (/.f64 y x)) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y x) y) x)) (/.f64 y x)) |
(*.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 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) #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 (sqrt.f64 y) #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) x)) |
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x)) |
(*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 y x)) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y))))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (/.f64 (*.f64 (/.f64 y x) y) x)) |
(*.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) |
(*.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(*.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 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)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x (*.f64 y y)) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 x y) #s(literal -1 binary64)) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) x) |
(*.f64 x (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(pow.f64 (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 x y)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) y)) x) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (/.f64 #s(literal -1 binary64) y)) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y)) x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) (/.f64 x y)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) x) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 x x)) |
(/.f64 (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y x)) (*.f64 y y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y))))) (*.f64 y (/.f64 x y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) (*.f64 y (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)))) (*.f64 y (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x y))) y) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 x))) (*.f64 y y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 #s(literal -1 binary64) y))) (/.f64 y x)) |
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 y x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (*.f64 y (*.f64 x x))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) |
(/.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y))))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) #s(literal 0 binary64)))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) |
(/.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (neg.f64 x) y) |
(/.f64 (/.f64 x y) #s(literal -1 binary64)) |
(/.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 y x)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 x y) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 y (*.f64 (/.f64 y x) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(neg.f64 (/.f64 x y)) |
(fma.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (*.f64 (*.f64 y y) y)) (*.f64 y y) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 y y) y)) (*.f64 y y) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 y x) y) x)) (/.f64 y x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y x) y) x)) (/.f64 y x) #s(literal 0 binary64)) |
(fma.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)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.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)) #s(literal 0 binary64)) |
(fma.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)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) x) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 y x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 0 binary64)) |
(fma.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)) #s(literal 0 binary64)) |
(fma.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)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (*.f64 y y)) y #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) x) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) #s(literal 0 binary64) (/.f64 x y)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 0 binary64)) |
(fma.f64 x (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) (/.f64 x y)) |
(-.f64 #s(literal 0 binary64) (/.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (/.f64 x y))) |
(+.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (/.f64 x y)) |
(+.f64 (/.f64 x y) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (/.f64 x y)) |
Compiled 20 482 to 2 386 computations (88.4% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 563 | 2 | 1 565 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 1 | 1 |
| Total | 1 563 | 7 | 1 570 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f64 (/.f64 x y) y) |
| ✓ | 99.8% | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
| ▶ | 99.7% | (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y) |
| ✓ | 87.6% | (/.f64 x (*.f64 y y)) |
| ✓ | 99.6% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
| ▶ | 99.4% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) |
| ✓ | 87.3% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
Compiled 66 to 41 computations (37.9% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 384 | (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y) | |
| cost-diff | 448 | (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) | |
| cost-diff | 0 | (pow.f64 x #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) | |
| cost-diff | 12864 | (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) |
| 433× | times-frac |
| 280× | lower-fma.f64 |
| 280× | lower-fma.f32 |
| 280× | lower-*.f32 |
| 277× | lower-*.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 58 |
| 0 | 21 | 63 |
| 1 | 42 | 50 |
| 2 | 97 | 48 |
| 3 | 177 | 40 |
| 4 | 402 | 38 |
| 5 | 997 | 38 |
| 6 | 2435 | 38 |
| 7 | 2820 | 38 |
| 8 | 2964 | 38 |
| 9 | 2984 | 38 |
| 10 | 2985 | 38 |
| 11 | 2985 | 38 |
| 12 | 2985 | 38 |
| 0 | 2985 | 38 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) |
(pow.f64 x #s(literal -1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
y |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(neg.f64 x) |
x |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) |
(/.f64 x (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) |
(/.f64 (*.f64 y y) x) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) |
(*.f64 y (pow.f64 x #s(literal -1/2 binary64))) |
(pow.f64 x #s(literal -1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
y |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y) |
(/.f64 x (*.f64 y y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) |
(/.f64 x y) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(neg.f64 x) |
x |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.125 | (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y) | |
| accuracy | 0.193691259768442 | (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) | |
| accuracy | 0 | (pow.f64 x #s(literal -1/2 binary64)) | |
| accuracy | 0.20703125 | (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) | |
| accuracy | 0.211187111758316 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) | |
| accuracy | 0.232753759768442 | (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) |
| 52.0ms | 256× | 0 | valid |
Compiled 60 to 15 computations (75% saved)
ival-pow: 6.0ms (34.5% of total)ival-div: 5.0ms (28.8% of total)ival-mult: 5.0ms (28.8% of total)ival-neg: 1.0ms (5.8% 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 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (patch (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal -1/2 binary64)) (patch (pow.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y) (patch (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (pow y 2) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf y) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf y) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf y) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor inf y) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor -inf y) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor -inf y) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor -inf y) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) x) (taylor -inf y) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) 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 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) #<representation binary64>) () ())) ()) |
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#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y) (patch (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (* (* (pow x -1/2) y) (* (pow x -1/2) y)) |
| 1.0ms | y | @ | 0 | (* (pow x -1/2) y) |
| 0.0ms | x | @ | -inf | (/ 1 (* (* (pow x -1/2) y) (* (pow x -1/2) y))) |
| 0.0ms | x | @ | -inf | (* (pow x -1/2) y) |
| 0.0ms | x | @ | 0 | (* (pow x -1/2) y) |
| 1× | egg-herbie |
| 891× | div-sub |
| 656× | lower-*.f64 |
| 656× | lower-fma.f64 |
| 656× | lower-fma.f32 |
| 656× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 724 |
| 1 | 46 | 700 |
| 2 | 128 | 692 |
| 3 | 439 | 692 |
| 4 | 1902 | 692 |
| 5 | 3080 | 692 |
| 6 | 3635 | 692 |
| 7 | 3887 | 692 |
| 8 | 3940 | 692 |
| 9 | 3952 | 692 |
| 10 | 4039 | 692 |
| 11 | 4111 | 692 |
| 12 | 4999 | 692 |
| 13 | 5662 | 692 |
| 14 | 5855 | 692 |
| 15 | 6241 | 692 |
| 16 | 6287 | 692 |
| 17 | 6364 | 692 |
| 18 | 6465 | 692 |
| 19 | 6546 | 692 |
| 20 | 7279 | 692 |
| 21 | 7279 | 692 |
| 22 | 7279 | 692 |
| 23 | 7279 | 692 |
| 24 | 7279 | 692 |
| 0 | 7279 | 692 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) |
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) |
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) |
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 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 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 |
|---|
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) |
(/.f64 (*.f64 y y) x) |
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) |
(/.f64 (*.f64 y y) x) |
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) |
(/.f64 (*.f64 y y) x) |
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(/.f64 x (*.f64 y y)) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(/.f64 x (*.f64 y y)) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(/.f64 x (*.f64 y y)) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ 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 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) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
| 722× | unpow-prod-down |
| 497× | lower-*.f32 |
| 494× | lower-*.f64 |
| 430× | frac-times |
| 387× | frac-2neg |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 51 |
| 0 | 21 | 56 |
| 1 | 70 | 56 |
| 2 | 343 | 56 |
| 3 | 2156 | 56 |
| 0 | 21 | 44 |
| 1 | 70 | 39 |
| 2 | 343 | 31 |
| 0 | 2156 | 31 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) |
(pow.f64 x #s(literal -1/2 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y) |
(/.f64 #s(literal -1 binary64) y) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64))) y) |
(*.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) y)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 y))) (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) (neg.f64 (*.f64 x x))) x) |
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 y y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 y y) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 y y) (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y)) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 (*.f64 y (*.f64 y (pow.f64 x #s(literal -3/4 binary64)))) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 (*.f64 (*.f64 y y) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -3/4 binary64))) |
(*.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 y y)) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 y y) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (neg.f64 y) y)) |
(*.f64 (/.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (neg.f64 y)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 y (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) (/.f64 y (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64)))) (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (exp.f64 (log.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))) (exp.f64 (log.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 y y))) |
(*.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) y) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y) (*.f64 y (pow.f64 x #s(literal -3/4 binary64)))) |
(*.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y)) |
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 y y) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1/8 binary64)) (*.f64 (pow.f64 x #s(literal -1/8 binary64)) (*.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) y))) |
(*.f64 (/.f64 (neg.f64 y) x) (neg.f64 y)) |
(*.f64 (/.f64 y x) y) |
(*.f64 (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (*.f64 (*.f64 y y) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 y y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 y y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (neg.f64 y) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y y)) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -3/4 binary64)) (*.f64 y y))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) y)) |
(*.f64 (*.f64 (/.f64 (neg.f64 y) x) y) #s(literal -1 binary64)) |
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
(*.f64 (*.f64 (/.f64 y x) y) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 y (*.f64 (/.f64 y x) #s(literal 1 binary64))) |
(*.f64 y (/.f64 (/.f64 y x) #s(literal 1 binary64))) |
(*.f64 y (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 y (/.f64 y x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 y (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 y y) (pow.f64 x #s(literal -1/2 binary64)))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 y x) y) #s(literal 1 binary64)) |
(pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 y y))) |
(/.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(/.f64 (/.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) x) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) y)) x) |
(/.f64 (/.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 x)) |
(/.f64 (*.f64 y y) x) |
(/.f64 (*.f64 (/.f64 (neg.f64 y) x) y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 y) (/.f64 (neg.f64 x) y)) |
(/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (neg.f64 y) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y))) |
(/.f64 (*.f64 (/.f64 y x) y) #s(literal 1 binary64)) |
(/.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y)) |
(/.f64 y (/.f64 x y)) |
(neg.f64 (*.f64 (/.f64 (neg.f64 y) x) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) (*.f64 (/.f64 (neg.f64 y) x) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) y)) #s(literal -1 binary64)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 y x) y))) |
(*.f64 (/.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) x) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y)) (/.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (pow.f64 x #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/4 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 x y)) |
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y) #s(literal -2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 x)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y) #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 y y))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) #s(literal -1 binary64)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 y)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (neg.f64 y) y))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y))) |
(*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 y))) |
(*.f64 x (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) |
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(pow.f64 (*.f64 (*.f64 (/.f64 y x) y) (*.f64 (/.f64 y x) y)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1 binary64)) |
(pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -2 binary64)) |
(/.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) y) |
(/.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y)) (pow.f64 x #s(literal -1/4 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 y) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) x) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 y y)) |
(/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 y)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (pow.f64 x #s(literal -1/4 binary64))) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/4 binary64))) (*.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) y)) |
(/.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 y y))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 y) y)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) y)) (*.f64 x y)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (/.f64 #s(literal -1 binary64) y)) (*.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y)) |
(/.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 y y) (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 x (*.f64 (neg.f64 y) y)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 y)) (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (neg.f64 (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64))))) |
(/.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) |
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(/.f64 (/.f64 x y) y) |
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(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) |
(/.f64 #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 #s(literal 1 binary64) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
(/.f64 x (neg.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 x (*.f64 (neg.f64 y) (neg.f64 y))) |
(/.f64 x (*.f64 y y)) |
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) y))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (neg.f64 y) y))) |
(exp.f64 (neg.f64 (log.f64 (*.f64 (/.f64 y x) y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 y) #s(literal -1/2 binary64))) |
(*.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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(pow.f64 (neg.f64 y) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal 1 binary64) (neg.f64 y)) |
(neg.f64 (/.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) x) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x x) x))) (neg.f64 (*.f64 x x))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) x) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 x x)) x) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (*.f64 (*.f64 x x) x)))) |
(neg.f64 x) |
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 0 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(+.f64 (neg.f64 x) #s(literal 0 binary64)) |
Compiled 7 159 to 899 computations (87.4% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 620 | 2 | 622 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 5 | 5 |
| Total | 622 | 7 | 629 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f64 (/.f64 x y) y) |
| ✓ | 99.8% | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
| ▶ | 99.7% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) |
| ✓ | 87.6% | (/.f64 x (*.f64 y y)) |
| ✓ | 99.6% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
| ▶ | 99.4% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) |
| ✓ | 87.3% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
Compiled 67 to 43 computations (35.8% saved)
| 1× | egg-herbie |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) y) x) | |
| cost-diff | 384 | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) | |
| cost-diff | 0 | (pow.f64 x #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) |
| 96× | lower-*.f32 |
| 92× | lower-*.f64 |
| 61× | associate-*r* |
| 47× | lower-/.f32 |
| 43× | lower-/.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 89 |
| 0 | 26 | 89 |
| 1 | 42 | 85 |
| 2 | 82 | 85 |
| 3 | 131 | 85 |
| 4 | 155 | 85 |
| 5 | 187 | 85 |
| 6 | 282 | 85 |
| 7 | 304 | 85 |
| 0 | 304 | 85 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) |
(pow.f64 x #s(literal -1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
y |
(*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) |
#s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (pow.f64 x #s(literal -1/2 binary64))) #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) |
(*.f64 (*.f64 (*.f64 y y) (pow.f64 x #s(literal -1/2 binary64))) #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) |
(*.f64 y (pow.f64 x #s(literal -1/2 binary64))) |
(pow.f64 x #s(literal -1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
y |
(*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) |
#s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) |
(/.f64 x (*.f64 y y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.125 | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) | |
| accuracy | 0.193691259768442 | (*.f64 (/.f64 #s(literal 1 binary64) y) x) | |
| accuracy | 0.20703125 | (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) | |
| accuracy | 0.20703125 | (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) | |
| accuracy | 0.211187111758316 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) | |
| accuracy | 0.232753759768442 | (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) |
| 29.0ms | 256× | 0 | valid |
Compiled 71 to 15 computations (78.9% saved)
ival-div: 6.0ms (31.4% of total)ival-pow: 6.0ms (31.4% of total)ival-mult: 4.0ms (20.9% of total)ival-sqrt: 2.0ms (10.5% 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 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (patch (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal -1/2 binary64)) (patch (pow.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) (patch (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ()) |
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#s(alt (* (sqrt (/ 1 x)) y) (taylor inf y) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf y) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf y) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf y) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf y) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf y) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ()) |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (/ (* (/ 1 y) x) y) |
| 0.0ms | x | @ | 0 | (/ 1 (* (* (pow x -1/2) y) (* (pow x -1/2) y))) |
| 0.0ms | x | @ | inf | (/ (* (/ 1 y) x) y) |
| 0.0ms | x | @ | -inf | (/ (* (/ 1 y) x) y) |
| 0.0ms | y | @ | -inf | (/ (* (/ 1 y) x) y) |
| 1× | egg-herbie |
| 2 003× | div-sub |
| 934× | lower--.f64 |
| 934× | lower--.f32 |
| 798× | lower-*.f64 |
| 798× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 864 |
| 1 | 44 | 828 |
| 2 | 121 | 816 |
| 3 | 414 | 816 |
| 4 | 1835 | 816 |
| 5 | 3019 | 816 |
| 6 | 3688 | 816 |
| 7 | 4118 | 816 |
| 8 | 4254 | 816 |
| 9 | 4263 | 816 |
| 10 | 4390 | 816 |
| 11 | 4621 | 816 |
| 12 | 5065 | 816 |
| 13 | 5254 | 816 |
| 14 | 5334 | 816 |
| 15 | 5460 | 816 |
| 16 | 5561 | 816 |
| 17 | 5736 | 816 |
| 18 | 6834 | 816 |
| 19 | 7468 | 816 |
| 0 | 8331 | 816 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) |
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) |
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) |
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
| Outputs |
|---|
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(/.f64 x (*.f64 y y)) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(/.f64 x (*.f64 y y)) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(/.f64 x (*.f64 y y)) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) |
(*.f64 (/.f64 y x) y) |
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) |
(*.f64 (/.f64 y x) y) |
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) |
(*.f64 (/.f64 y x) y) |
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(/ (pow y 2) x) |
(*.f64 (/.f64 y x) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
| 673× | unpow-prod-down |
| 593× | lower-*.f32 |
| 589× | lower-*.f64 |
| 395× | lower-/.f32 |
| 391× | lower-/.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 67 |
| 0 | 26 | 79 |
| 1 | 80 | 76 |
| 2 | 327 | 76 |
| 3 | 1834 | 76 |
| 0 | 26 | 67 |
| 1 | 80 | 60 |
| 2 | 327 | 55 |
| 0 | 1834 | 55 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) |
(pow.f64 x #s(literal -1/2 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/.f64 #s(literal 1 binary64) y) |
(*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 (sqrt.f64 x) (*.f64 y y))) |
(*.f64 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) #s(literal -1 binary64)) (pow.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 y y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (pow.f64 x #s(literal -1/4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 (*.f64 y y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) (/.f64 (sqrt.f64 x) y)) |
(*.f64 (/.f64 (sqrt.f64 x) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y))) |
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 (*.f64 y y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 x) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y))) |
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 (*.f64 y y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 (*.f64 y y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y)) (pow.f64 x #s(literal -1/4 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) (pow.f64 x #s(literal -1/4 binary64))) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 y (sqrt.f64 x)))) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) (neg.f64 (/.f64 y (sqrt.f64 x)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (neg.f64 y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) y)) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y))) (neg.f64 (/.f64 y (sqrt.f64 x)))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) (neg.f64 y)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) (sqrt.f64 x)) y) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) #s(literal -1 binary64)) (neg.f64 (/.f64 y (sqrt.f64 x)))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) #s(literal 1 binary64)) (/.f64 y (sqrt.f64 x))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 (/.f64 y (sqrt.f64 x)) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/4 binary64))) (*.f64 (*.f64 (*.f64 y y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (pow.f64 x #s(literal -1/4 binary64)))) |
(/.f64 (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 y y))) (neg.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
(/.f64 (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y))) (neg.f64 y)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y))) (neg.f64 (/.f64 y (sqrt.f64 x)))) |
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 y y)) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) y) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) (/.f64 y (sqrt.f64 x))) |
(/.f64 (/.f64 (sqrt.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
(/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 (neg.f64 y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 (/.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (neg.f64 y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) |
(/.f64 (/.f64 (sqrt.f64 x) y) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) |
(/.f64 (sqrt.f64 x) (*.f64 (*.f64 y y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 y (sqrt.f64 x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 y (sqrt.f64 x)))) |
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 (*.f64 y y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 (sqrt.f64 x) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (sqrt.f64 x) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
(neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) (/.f64 #s(literal -1 binary64) y))) |
(neg.f64 (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 (*.f64 y y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 (*.f64 y y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y) #s(literal -1 binary64)) (neg.f64 (/.f64 y (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 y y))) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (neg.f64 y))) (*.f64 (neg.f64 y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y))) y) |
(*.f64 (*.f64 (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y)) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y) (pow.f64 x #s(literal -1/4 binary64))) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y)) |
(*.f64 (neg.f64 (*.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) y) |
(*.f64 (/.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (/.f64 y (/.f64 (sqrt.f64 x) y))) |
(*.f64 (neg.f64 (*.f64 (neg.f64 y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 y (sqrt.f64 x))) |
(*.f64 (neg.f64 (neg.f64 (/.f64 y (sqrt.f64 x)))) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y))) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) (/.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(approx (pow x -1/2) (/.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 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 y y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (neg.f64 y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) y)) |
(*.f64 (pow.f64 x #s(literal -1/8 binary64)) (*.f64 (pow.f64 x #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 y y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (pow.f64 x #s(literal -1/4 binary64))))) |
(*.f64 (*.f64 (neg.f64 y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (neg.f64 (/.f64 y (sqrt.f64 x)))) |
(*.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) (/.f64 (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) (*.f64 (neg.f64 y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
(*.f64 (*.f64 y y) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(*.f64 (*.f64 (*.f64 y y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 y y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 y (sqrt.f64 x))) y) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (pow.f64 x #s(literal -1/4 binary64))) #s(literal 1 binary64))) |
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(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(pow.f64 (exp.f64 (log.f64 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 y #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
(neg.f64 (/.f64 #s(literal -1 binary64) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y) |
(*.f64 y (*.f64 #s(literal 1 binary64) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
(*.f64 y (/.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))) |
(*.f64 y #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(/.f64 (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (neg.f64 y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y) #s(literal 1 binary64)) |
(/.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y))) |
Compiled 6 130 to 814 computations (86.7% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 464 | 1 | 465 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 5 | 5 |
| Total | 465 | 7 | 472 |
| Status | Accuracy | Program |
|---|---|---|
| 99.5% | (/.f64 (/.f64 (sqrt.f64 x) y) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) | |
| ✓ | 99.8% | (/.f64 (/.f64 x y) y) |
| ✓ | 99.8% | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
| ✓ | 99.7% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) |
| ✓ | 87.6% | (/.f64 x (*.f64 y y)) |
| ✓ | 99.6% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
| ✓ | 87.3% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
Compiled 152 to 76 computations (50% saved)
| Inputs |
|---|
(/.f64 x (*.f64 y y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(/.f64 (/.f64 x y) y) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(/.f64 (/.f64 (sqrt.f64 x) y) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) |
| Outputs |
|---|
(/.f64 (/.f64 x y) y) |
4 calls:
| 4.0ms | x |
| 3.0ms | y |
| 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 (-2.6%)
Threshold costs -0.2b (-2.6%)
| Inputs |
|---|
(/.f64 x (*.f64 y y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
| Outputs |
|---|
(/.f64 x (*.f64 y y)) |
4 calls:
| 40.0ms | (/.f64 x (*.f64 y y)) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.6% | 1 | x |
| 87.6% | 1 | y |
| 87.6% | 1 | (/.f64 x (*.f64 y y)) |
| 87.6% | 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)) |
| 470× | lower-*.f32 |
| 469× | lower-*.f64 |
| 397× | frac-2neg |
| 392× | lower-/.f32 |
| 391× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 8 |
| 0 | 6 | 10 |
| 1 | 18 | 10 |
| 2 | 77 | 10 |
| 3 | 360 | 10 |
| 4 | 2132 | 10 |
| 0 | 6 | 8 |
| 1 | 18 | 8 |
| 2 | 77 | 8 |
| 3 | 360 | 8 |
| 0 | 2132 | 8 |
| 1× | fuel |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 24 to 12 computations (50% saved)
(negabs x)
(abs y)
Compiled 108 to 60 computations (44.4% saved)
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