
Time bar (total: 6.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 334.0ms | 8 256× | 0 | valid |
ival-mult: 67.0ms (37.9% of total)ival-div: 59.0ms (33.4% of total)ival-sub: 38.0ms (21.5% of total)ival-true: 5.0ms (2.8% of total)exact: 5.0ms (2.8% of total)ival-assert: 3.0ms (1.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 30 | 0 | - | 1 | (-5.3599565878182955e-229 -3.919730519553979e-162) | (/.f64 x (*.f64 y y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 x (*.f64 y y)) | n/u | 7 | 0 |
| ↳ | (*.f64 y y) | underflow | 51 | |
/.f64 | (/.f64 x (*.f64 y y)) | n/o | 1 | 0 |
| ↳ | (*.f64 y y) | overflow | 65 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 7 | 1 |
| - | 1 | 247 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 7 | 0 | 1 |
| - | 1 | 0 | 247 |
| number | freq |
|---|---|
| 0 | 248 |
| 1 | 8 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 25.0ms | 512× | 0 | valid |
Compiled 49 to 22 computations (55.1% saved)
ival-mult: 5.0ms (44.8% of total)ival-div: 3.0ms (26.9% of total)ival-sub: 2.0ms (17.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 720× | times-frac |
| 152× | associate-/r* |
| 146× | associate-*r/ |
| 132× | associate-*l* |
| 130× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 39 |
| 1 | 43 | 37 |
| 2 | 115 | 35 |
| 3 | 300 | 35 |
| 4 | 666 | 35 |
| 5 | 1065 | 35 |
| 6 | 1542 | 35 |
| 7 | 1605 | 35 |
| 8 | 1629 | 35 |
| 9 | 1648 | 35 |
| 10 | 1652 | 35 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 14 | 7 |
| 2 | 15 | 7 |
| 0 | 15 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(abs y)
Compiled 9 to 6 computations (33.3% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.0% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 x (*.f64 y y)) | |
| cost-diff | 0 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 6× | lower-/.f32 |
| 4× | lower-+.f64 |
| 4× | lower-/.f64 |
| 4× | lower-+.f32 |
| 2× | lift-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 9 | 18 |
| 1 | 14 | 18 |
| 2 | 15 | 18 |
| 0 | 15 | 18 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
#s(literal 3 binary64) |
| Outputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
#s(literal 3 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 6.910499274057428 | (/.f64 x (*.f64 y y)) |
| 11.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-div: 2.0ms (40% of total)ival-mult: 2.0ms (40% of total)ival-sub: 1.0ms (20% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt -3 (taylor 0 x) (#s(alt (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor 0 x) (#s(alt (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor 0 x) (#s(alt (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor 0 x) (#s(alt (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -3 (taylor inf y) (#s(alt (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor inf y) (#s(alt (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor inf y) (#s(alt (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor inf y) (#s(alt (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -3 (taylor -inf y) (#s(alt (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor -inf y) (#s(alt (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor -inf y) (#s(alt (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor -inf y) (#s(alt (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<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 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>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ x (* y y)) |
| 1.0ms | x | @ | inf | (- (/ x (* y y)) 3) |
| 1.0ms | x | @ | 0 | (/ x (* y y)) |
| 0.0ms | x | @ | 0 | (- (/ x (* y y)) 3) |
| 0.0ms | y | @ | 0 | (- (/ x (* y y)) 3) |
| 1× | egg-herbie |
| 2 860× | lower-fma.f64 |
| 2 860× | lower-fma.f32 |
| 2 598× | lower-*.f64 |
| 2 598× | lower-*.f32 |
| 1 392× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 300 |
| 1 | 43 | 300 |
| 2 | 103 | 300 |
| 3 | 250 | 300 |
| 4 | 472 | 300 |
| 5 | 785 | 300 |
| 6 | 1177 | 300 |
| 7 | 1855 | 300 |
| 8 | 2697 | 300 |
| 9 | 3327 | 300 |
| 10 | 3815 | 300 |
| 11 | 4073 | 300 |
| 12 | 4256 | 300 |
| 13 | 4723 | 300 |
| 14 | 5512 | 300 |
| 15 | 6174 | 300 |
| 16 | 7377 | 300 |
| 0 | 8081 | 300 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ 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 |
|---|
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 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) |
| 4 186× | lower-/.f32 |
| 4 184× | lower-/.f64 |
| 3 186× | lower-fma.f64 |
| 3 186× | lower-fma.f32 |
| 3 038× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 38 | 15 |
| 2 | 288 | 15 |
| 3 | 3249 | 15 |
| 0 | 8174 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(/.f64 x (*.f64 y y)) |
(*.f64 y y) |
| Outputs |
|---|
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)))))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))) (neg.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(-.f64 #s(literal -3 binary64) (/.f64 x (neg.f64 (*.f64 y y)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y y))))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y y)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -9 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 27 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 729 binary64)))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal 19683 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 27 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 729 binary64)))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64))))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 27 binary64))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal 729 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 27 binary64))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -9 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 27 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 729 binary64)))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y y))))) (/.f64 (/.f64 #s(literal 19683 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 27 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 729 binary64)))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y y)))))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 27 binary64))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y y))))) (/.f64 (/.f64 #s(literal 729 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 27 binary64))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y y)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x #s(literal -3 binary64))) (*.f64 y y)))) (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x #s(literal -3 binary64))) (*.f64 y y))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -9 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 27 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 729 binary64)))) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x #s(literal -3 binary64))) (*.f64 y y)))) (/.f64 (/.f64 #s(literal 19683 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 27 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 729 binary64)))) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x #s(literal -3 binary64))) (*.f64 y y))))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 27 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x #s(literal -3 binary64))) (*.f64 y y)))) (/.f64 (/.f64 #s(literal 729 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 27 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x #s(literal -3 binary64))) (*.f64 y y))))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64) #s(literal 81 binary64)))) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64) #s(literal 81 binary64)))) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64))) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64))) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64))))) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -27 binary64)) (neg.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y y)))))) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -27 binary64)) (neg.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y y))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -3 binary64) (/.f64 x (neg.f64 (*.f64 y y))))) (/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (+.f64 #s(literal -3 binary64) (/.f64 x (neg.f64 (*.f64 y y)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -9 binary64)) (*.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 27 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 729 binary64))))) (/.f64 #s(literal 19683 binary64) (*.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 27 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 729 binary64)))))) |
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(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64))))) |
(*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y y)))))) |
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))) |
(*.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 x (neg.f64 (*.f64 y y)))))) |
(*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -27 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64))) |
(*.f64 (/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64))) (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))) |
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -27 binary64)) (fma.f64 (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)) (*.f64 (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))) (fma.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)) (-.f64 (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))))))) |
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -27 binary64)) (*.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64))) (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x #s(literal 3 binary64))) (*.f64 y y)) #s(literal 9 binary64)))) (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x #s(literal 3 binary64))) (*.f64 y y)) #s(literal 9 binary64))) |
(*.f64 (/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 27 binary64))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y y))))) |
(exp.f64 (log.f64 (/.f64 x (*.f64 y y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 (*.f64 y y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 x (neg.f64 (*.f64 y y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 x (neg.f64 (*.f64 y y)))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) y) (/.f64 x (neg.f64 (*.f64 y y)))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (neg.f64 (neg.f64 y))) (/.f64 x (neg.f64 (*.f64 y y)))) |
(neg.f64 (/.f64 x (neg.f64 (*.f64 y y)))) |
(neg.f64 (*.f64 (/.f64 x (neg.f64 (*.f64 y y))) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 y y))))) |
(/.f64 x (*.f64 y y)) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) x))) |
(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 y)) |
(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 y x))) |
(/.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y)) |
(/.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 (neg.f64 (*.f64 y y))))) |
(/.f64 (exp.f64 (log.f64 (/.f64 x y))) y) |
(/.f64 (exp.f64 (log.f64 x)) (*.f64 y y)) |
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (neg.f64 (/.f64 (*.f64 y y) x))))) |
(/.f64 (exp.f64 (log.f64 (/.f64 x (neg.f64 y)))) (exp.f64 (log.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (/.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 y y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64))) (neg.f64 (neg.f64 y))) |
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 y y) x))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(*.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)) (exp.f64 (log.f64 x))) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 (*.f64 y y)))) |
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (neg.f64 y))) |
(*.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) |
(*.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (neg.f64 (log.f64 (neg.f64 (*.f64 y y)))))) |
(*.f64 (exp.f64 (log.f64 (/.f64 x y))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(exp.f64 (log.f64 (*.f64 y y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 y y))) |
(neg.f64 (neg.f64 (*.f64 y y))) |
(/.f64 y (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 y y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 y y)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(/.f64 (neg.f64 y) (neg.f64 (/.f64 #s(literal 1 binary64) y))) |
(pow.f64 y #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y)) |
(*.f64 y y) |
(*.f64 y (neg.f64 (neg.f64 y))) |
(*.f64 y (/.f64 y #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (neg.f64 (neg.f64 y)) y) |
Compiled 10 235 to 657 computations (93.6% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 278 | 9 | 287 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 278 | 10 | 288 |
| Status | Accuracy | Program |
|---|---|---|
| 99.9% | (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) | |
| ▶ | 96.9% | (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64)) |
| ▶ | 59.2% | (/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) |
| ▶ | 99.9% | (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
| 99.8% | (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64)) | |
| ✓ | 97.0% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| ▶ | 97.0% | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #s(literal 3 binary64)) |
| 59.2% | (*.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) | |
| 45.8% | #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) | |
| ▶ | 53.5% | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
Compiled 227 to 144 computations (36.6% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y (*.f64 y (*.f64 y y))) | |
| cost-diff | 0 | (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) | |
| cost-diff | 0 | (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 (*.f64 y y) x) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #s(literal 3 binary64)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64)) | |
| cost-diff | 0 | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) | |
| cost-diff | 384 | (/.f64 (/.f64 x y) y) |
| 250× | lower-*.f32 |
| 244× | lower-*.f64 |
| 242× | times-frac |
| 170× | lower-/.f32 |
| 154× | lower-/.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 148 |
| 0 | 44 | 133 |
| 1 | 69 | 125 |
| 2 | 101 | 125 |
| 3 | 207 | 125 |
| 4 | 456 | 125 |
| 5 | 491 | 125 |
| 6 | 506 | 125 |
| 7 | 530 | 125 |
| 8 | 559 | 125 |
| 0 | 559 | 125 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
#s(literal 3 binary64) |
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
x |
#s(literal -3 binary64) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal 3 binary64) |
(/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) |
(fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) |
x |
(/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) |
(*.f64 y (*.f64 y (*.f64 y y))) |
y |
(*.f64 y (*.f64 y y)) |
(*.f64 y y) |
#s(literal -9 binary64) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(/.f64 x (*.f64 y y)) |
#s(literal 3 binary64) |
| Outputs |
|---|
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (*.f64 y y)) |
(/.f64 x y) |
x |
y |
#s(literal 3 binary64) |
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64)) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
x |
#s(literal -3 binary64) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #s(literal 3 binary64)) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
(/.f64 x (*.f64 y y)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal 3 binary64) |
(/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) |
(/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)))) |
(fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) |
x |
(/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) |
(*.f64 y (*.f64 y (*.f64 y y))) |
y |
(*.f64 y (*.f64 y y)) |
(*.f64 y y) |
#s(literal -9 binary64) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))) |
(/.f64 x (*.f64 y y)) |
#s(literal 3 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.2104215674281877 | (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) | |
| accuracy | 2.967402114960091 | (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) | |
| accuracy | 6.910499274057428 | (/.f64 x (*.f64 y y)) | |
| accuracy | 20.516964558588143 | (/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) | |
| accuracy | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #s(literal 3 binary64)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.3053538331330155 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) | |
| accuracy | 7.001216372813622 | (/.f64 (*.f64 y y) x) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.2666156880239784 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| accuracy | 1.951032962295667 | (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64)) | |
| accuracy | 29.736876441768423 | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) | |
| accuracy | 0.1640625 | (/.f64 (/.f64 x y) y) |
| 46.0ms | 256× | 0 | valid |
Compiled 151 to 27 computations (82.1% saved)
ival-div: 13.0ms (43.8% of total)ival-mult: 7.0ms (23.6% of total)ival-sub: 6.0ms (20.2% of total)ival-add: 3.0ms (10.1% of total)exact: 1.0ms (3.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y y) x) (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (patch (/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (patch (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
#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 -3 (taylor 0 x) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor 0 x) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor 0 x) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor 0 x) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -3 (taylor inf y) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor inf y) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor inf y) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor inf y) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -3 (taylor -inf y) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor -inf y) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor -inf y) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor -inf y) (#s(alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<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>) () ())) ()) |
#s(alt -3 (taylor 0 x) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor 0 x) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor 0 x) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor 0 x) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -3 (taylor inf y) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor inf y) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor inf y) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor inf y) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -3 (taylor -inf y) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor -inf y) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor -inf y) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor -inf y) (#s(alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (patch (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (patch (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 4)) (taylor 0 y) (#s(alt (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (patch (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4)) (taylor 0 y) (#s(alt (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (patch (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4)) (taylor 0 y) (#s(alt (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (patch (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4)) (taylor 0 y) (#s(alt (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (patch (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -9 (taylor inf y) (#s(alt (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (patch (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (pow x 2) (pow y 4)) 9) (taylor inf y) (#s(alt (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (patch (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (pow x 2) (pow y 4)) 9) (taylor inf y) (#s(alt (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (patch (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (pow x 2) (pow y 4)) 9) (taylor inf y) (#s(alt (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (patch (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -9 (taylor -inf y) (#s(alt (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (patch (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (pow x 2) (pow y 4)) 9) (taylor -inf y) (#s(alt (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (patch (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (pow x 2) (pow y 4)) 9) (taylor -inf y) (#s(alt (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (patch (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (pow x 2) (pow y 4)) 9) (taylor -inf y) (#s(alt (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (patch (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor inf y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor inf y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor inf y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor inf y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.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 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>) () ())) ()) |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) |
| 1.0ms | x | @ | -inf | (/ x y) |
| 1.0ms | x | @ | 0 | (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) |
| 1.0ms | x | @ | inf | (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) |
| 0.0ms | x | @ | inf | (/ x (* y (* y (* y y)))) |
| 1× | egg-herbie |
| 3 574× | lower-*.f64 |
| 3 574× | lower-*.f32 |
| 3 062× | lower-fma.f64 |
| 3 062× | lower-fma.f32 |
| 1 966× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 1782 |
| 1 | 74 | 1782 |
| 2 | 163 | 1782 |
| 3 | 394 | 1782 |
| 4 | 867 | 1782 |
| 5 | 1757 | 1782 |
| 6 | 3382 | 1782 |
| 7 | 4885 | 1782 |
| 8 | 6102 | 1782 |
| 9 | 6939 | 1782 |
| 10 | 7588 | 1782 |
| 0 | 8043 | 1749 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ 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) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (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) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-9 |
(- (/ (pow x 2) (pow y 4)) 9) |
(- (/ (pow x 2) (pow y 4)) 9) |
(- (/ (pow x 2) (pow y 4)) 9) |
(/ (pow x 2) (pow y 4)) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(/ (pow x 2) (pow y 4)) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(/ (pow x 2) (pow y 4)) |
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4)) |
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4)) |
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4)) |
-9 |
(- (/ (pow x 2) (pow y 4)) 9) |
(- (/ (pow x 2) (pow y 4)) 9) |
(- (/ (pow x 2) (pow y 4)) 9) |
-9 |
(- (/ (pow x 2) (pow y 4)) 9) |
(- (/ (pow x 2) (pow y 4)) 9) |
(- (/ (pow x 2) (pow y 4)) 9) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (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)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/.f64 (fma.f64 y (*.f64 y #s(literal -3 binary64)) x) (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/.f64 (fma.f64 y (*.f64 y #s(literal -3 binary64)) x) (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/.f64 (fma.f64 y (*.f64 y #s(literal -3 binary64)) x) (*.f64 y y)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ 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) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/.f64 (fma.f64 y (*.f64 y #s(literal -3 binary64)) x) (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/.f64 (fma.f64 y (*.f64 y #s(literal -3 binary64)) x) (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/.f64 (fma.f64 y (*.f64 y #s(literal -3 binary64)) x) (*.f64 y y)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/.f64 (fma.f64 y (*.f64 y #s(literal -3 binary64)) x) (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/.f64 (fma.f64 y (*.f64 y #s(literal -3 binary64)) x) (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/.f64 (fma.f64 y (*.f64 y #s(literal -3 binary64)) x) (*.f64 y y)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ 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)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/.f64 (fma.f64 y (*.f64 y #s(literal -3 binary64)) x) (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/.f64 (fma.f64 y (*.f64 y #s(literal -3 binary64)) x) (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/.f64 (fma.f64 y (*.f64 y #s(literal -3 binary64)) x) (*.f64 y y)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/.f64 (fma.f64 y (*.f64 y #s(literal -3 binary64)) x) (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/.f64 (fma.f64 y (*.f64 y #s(literal -3 binary64)) x) (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/.f64 (fma.f64 y (*.f64 y #s(literal -3 binary64)) x) (*.f64 y y)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
-9 |
#s(literal -9 binary64) |
(- (/ (pow x 2) (pow y 4)) 9) |
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -9 binary64)) |
(- (/ (pow x 2) (pow y 4)) 9) |
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -9 binary64)) |
(- (/ (pow x 2) (pow y 4)) 9) |
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -9 binary64)) |
(/ (pow x 2) (pow y 4)) |
(*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -9 binary64)) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -9 binary64)) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -9 binary64)) |
(/ (pow x 2) (pow y 4)) |
(*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -9 binary64)) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -9 binary64)) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -9 binary64)) |
(/ (pow x 2) (pow y 4)) |
(*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4)) |
(/.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) |
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4)) |
(/.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) |
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4)) |
(/.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) |
-9 |
#s(literal -9 binary64) |
(- (/ (pow x 2) (pow y 4)) 9) |
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -9 binary64)) |
(- (/ (pow x 2) (pow y 4)) 9) |
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -9 binary64)) |
(- (/ (pow x 2) (pow y 4)) 9) |
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -9 binary64)) |
-9 |
#s(literal -9 binary64) |
(- (/ (pow x 2) (pow y 4)) 9) |
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -9 binary64)) |
(- (/ (pow x 2) (pow y 4)) 9) |
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -9 binary64)) |
(- (/ (pow x 2) (pow y 4)) 9) |
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -9 binary64)) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
| 5 560× | lower-*.f32 |
| 5 554× | lower-*.f64 |
| 4 514× | lower-/.f32 |
| 4 498× | lower-/.f64 |
| 2 470× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 114 |
| 0 | 44 | 90 |
| 1 | 184 | 77 |
| 2 | 1179 | 77 |
| 0 | 8443 | 77 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 x y) |
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #s(literal 3 binary64)) |
(/.f64 (*.f64 y y) x) |
(/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) |
(fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) |
(/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) |
(*.f64 y (*.f64 y (*.f64 y y))) |
(/.f64 x (*.f64 y y)) |
| Outputs |
|---|
(exp.f64 (log.f64 (/.f64 x (*.f64 y y)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) x))) |
(neg.f64 (/.f64 x (*.f64 y (neg.f64 y)))) |
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y))) |
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 y))) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) x))) |
(/.f64 (neg.f64 x) (*.f64 y (neg.f64 y))) |
(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 y)) |
(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 y (neg.f64 y))) |
(/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 y (neg.f64 y))) |
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (neg.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 y x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (*.f64 y (neg.f64 y))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y)))) (neg.f64 (neg.f64 y))) |
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.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) (*.f64 y y)) x) |
(*.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)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) x))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) |
(*.f64 (/.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) (*.f64 y y)) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(*.f64 (pow.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)) #s(literal 9 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)))) (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) |
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -3 binary64)) |
(fma.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64) #s(literal -3 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) x)) #s(literal -3 binary64)) |
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(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))))) #s(literal 729 binary64))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 81 binary64) (*.f64 (/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64)))))) |
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 81 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -9 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))))) #s(literal -729 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal -81 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))))) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 81 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -9 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal -81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) x)) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 y y)) #s(literal -1 binary64) (log.f64 (/.f64 x (*.f64 y y))))) |
(exp.f64 (+.f64 (log.f64 (/.f64 x (*.f64 y y))) (*.f64 (log.f64 (*.f64 y y)) #s(literal -1 binary64)))) |
(exp.f64 (-.f64 (log.f64 (/.f64 x (*.f64 y y))) (log.f64 (*.f64 y y)))) |
(neg.f64 (/.f64 x (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))) |
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y (*.f64 y (*.f64 y y))))) |
(/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) |
(/.f64 (/.f64 x y) (*.f64 y (*.f64 y y))) |
(/.f64 (/.f64 x y) (neg.f64 (neg.f64 (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (/.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) x)))) |
(/.f64 (/.f64 x (*.f64 y y)) (*.f64 y y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (/.f64 x y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) |
(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 (*.f64 y (*.f64 y y)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))) |
(/.f64 (neg.f64 (/.f64 x (*.f64 y y))) (*.f64 y (neg.f64 y))) |
(/.f64 (/.f64 x (*.f64 y (*.f64 y y))) y) |
(/.f64 (/.f64 (/.f64 x y) (*.f64 y y)) y) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))))) |
(/.f64 (neg.f64 (/.f64 x (*.f64 y (*.f64 y y)))) (neg.f64 y)) |
(/.f64 (neg.f64 (/.f64 (/.f64 x y) (*.f64 y y))) (neg.f64 y)) |
(pow.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) x) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 y y) x) (*.f64 y y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (/.f64 x y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (*.f64 y (*.f64 y y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y))) |
(*.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 x y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 (*.f64 y y)))) |
(pow.f64 y #s(literal 4 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y (neg.f64 y)) #s(literal 2 binary64)) |
(*.f64 y (*.f64 y (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 y y)) |
(*.f64 (*.f64 y y) (pow.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 y (*.f64 y y)) y) |
(*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (neg.f64 y)) (*.f64 y (neg.f64 y))) |
(exp.f64 (log.f64 (/.f64 x (*.f64 y y)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) x))) |
(neg.f64 (/.f64 x (*.f64 y (neg.f64 y)))) |
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y))) |
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 y))) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) x))) |
(/.f64 (neg.f64 x) (*.f64 y (neg.f64 y))) |
(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 y)) |
(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 y (neg.f64 y))) |
(/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 y (neg.f64 y))) |
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (neg.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 y x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (*.f64 y (neg.f64 y))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y)))) (neg.f64 (neg.f64 y))) |
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.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) (*.f64 y y)) x) |
(*.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)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) x))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) |
(*.f64 (/.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) (*.f64 y y)) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(*.f64 (pow.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
Compiled 22 391 to 1 365 computations (93.9% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 111 | 2 | 1 113 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 113 | 10 | 1 123 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) |
| ✓ | 96.9% | (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64)) |
| ✓ | 59.2% | (/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) |
| ✓ | 99.9% | (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
| ▶ | 99.8% | (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64)) |
| ✓ | 97.0% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| ▶ | 99.9% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64)) |
| ▶ | 59.2% | (*.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) |
| ▶ | 45.8% | #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) |
| ✓ | 53.5% | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
Compiled 182 to 116 computations (36.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y (*.f64 y (*.f64 y y))) | |
| cost-diff | 0 | (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) | |
| cost-diff | 0 | (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) | |
| cost-diff | 320 | (*.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64)) | |
| 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 | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 x (*.f64 y y)) | |
| cost-diff | 0 | #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 576 | (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) |
| 3 782× | lower-*.f32 |
| 3 772× | lower-*.f64 |
| 2 802× | lower-fma.f32 |
| 2 798× | lower-fma.f64 |
| 2 328× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 192 |
| 0 | 55 | 172 |
| 1 | 86 | 159 |
| 2 | 133 | 159 |
| 3 | 291 | 159 |
| 4 | 854 | 159 |
| 5 | 1409 | 159 |
| 6 | 1771 | 159 |
| 7 | 2470 | 159 |
| 8 | 3241 | 159 |
| 9 | 3911 | 159 |
| 10 | 4067 | 159 |
| 11 | 4123 | 159 |
| 12 | 4206 | 159 |
| 13 | 4528 | 159 |
| 14 | 4719 | 159 |
| 15 | 5500 | 159 |
| 16 | 6470 | 159 |
| 17 | 6498 | 159 |
| 18 | 6498 | 159 |
| 19 | 6618 | 159 |
| 20 | 6618 | 159 |
| 21 | 7427 | 159 |
| 0 | 8164 | 159 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) |
(/.f64 x y) |
x |
y |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
#s(literal -3 binary64) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) |
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
y |
x |
#s(literal 3 binary64) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64)) |
(/.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 |
#s(literal 3 binary64) |
(*.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) |
(fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) |
x |
(/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) |
(*.f64 y (*.f64 y (*.f64 y y))) |
y |
(*.f64 y (*.f64 y y)) |
(*.f64 y y) |
#s(literal -9 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(/.f64 x (*.f64 y y)) |
#s(literal 3 binary64) |
| Outputs |
|---|
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(/.f64 x y) |
x |
y |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
#s(literal -3 binary64) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) |
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64)) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
(/.f64 x (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 y x) y) |
(/.f64 (*.f64 y y) x) |
(/.f64 y x) |
y |
x |
#s(literal 3 binary64) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64)) |
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(/.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 |
#s(literal 3 binary64) |
(*.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) |
(/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)))) |
(fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) |
x |
(/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) |
(*.f64 y (*.f64 y (*.f64 y y))) |
y |
(*.f64 y (*.f64 y y)) |
(*.f64 y y) |
#s(literal -9 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)))) |
#s(literal 1 binary64) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))) |
(/.f64 x (*.f64 y y)) |
#s(literal 3 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.2104215674281877 | (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) | |
| accuracy | 2.967402114960091 | (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) | |
| accuracy | 6.910499274057426 | (/.f64 x (*.f64 y y)) | |
| accuracy | 20.09508955858814 | (*.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) | |
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64)) | |
| accuracy | 0.201503759768442 | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) | |
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64)) | |
| accuracy | 0.1328125 | (*.f64 (/.f64 y x) y) | |
| accuracy | 0.3053538331330155 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 6.910499274057426 | (/.f64 x (*.f64 y y)) | |
| accuracy | 32.75801329947329 | #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.07650375976844201 | (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) |
| 65.0ms | 256× | 0 | valid |
Compiled 192 to 29 computations (84.9% saved)
ival-mult: 28.0ms (57.3% of total)ival-div: 14.0ms (28.7% of total)ival-add: 3.0ms (6.1% of total)ival-sub: 2.0ms (4.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) (patch #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (/.f64 #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 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64)) #<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 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64)) (patch (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) (patch (*.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (patch (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt -3 (taylor 0 x) (#s(alt (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -3 (taylor inf y) (#s(alt (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor inf y) (#s(alt (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor inf y) (#s(alt (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor inf y) (#s(alt (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -3 (taylor -inf y) (#s(alt (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor -inf y) (#s(alt (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor -inf y) (#s(alt (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor -inf y) (#s(alt (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) #<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>) () ())) ()) |
#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 -3 (taylor 0 x) (#s(alt #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) (patch #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor 0 x) (#s(alt #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) (patch #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor 0 x) (#s(alt #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) (patch #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor 0 x) (#s(alt #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) (patch #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) (patch #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) (patch #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) (patch #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) (patch #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) #<representation binary64>) () ())) ()) |
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#s(alt (- (/ (pow x 2) (pow y 4)) 9) (taylor -inf y) (#s(alt (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (patch (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (pow x 2) (pow y 4)) 9) (taylor -inf y) (#s(alt (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (patch (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 4)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (patch (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor inf y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor inf y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor inf y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor inf y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 4) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y (*.f64 y y))) (patch (*.f64 y (*.f64 y (*.f64 y y))) #<representation binary64>) () ())) ()) |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (/ y x) |
| 0.0ms | x | @ | -inf | (/ y x) |
| 0.0ms | x | @ | 0 | (/ y x) |
| 0.0ms | y | @ | -inf | (/ 1 y) |
| 0.0ms | y | @ | 0 | (/ y x) |
| 1× | egg-herbie |
| 3 574× | lower-*.f64 |
| 3 574× | lower-*.f32 |
| 3 062× | lower-fma.f64 |
| 3 062× | lower-fma.f32 |
| 1 928× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 1830 |
| 1 | 76 | 1830 |
| 2 | 163 | 1830 |
| 3 | 391 | 1830 |
| 4 | 854 | 1830 |
| 5 | 1736 | 1830 |
| 6 | 3377 | 1830 |
| 7 | 4882 | 1830 |
| 8 | 6092 | 1830 |
| 9 | 6911 | 1830 |
| 10 | 7554 | 1830 |
| 0 | 8009 | 1797 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ 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) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (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)) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-9 |
(- (/ (pow x 2) (pow y 4)) 9) |
(- (/ (pow x 2) (pow y 4)) 9) |
(- (/ (pow x 2) (pow y 4)) 9) |
(/ (pow x 2) (pow y 4)) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(/ (pow x 2) (pow y 4)) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(/ (pow x 2) (pow y 4)) |
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4)) |
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4)) |
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4)) |
-9 |
(- (/ (pow x 2) (pow y 4)) 9) |
(- (/ (pow x 2) (pow y 4)) 9) |
(- (/ (pow x 2) (pow y 4)) 9) |
-9 |
(- (/ (pow x 2) (pow y 4)) 9) |
(- (/ (pow x 2) (pow y 4)) 9) |
(- (/ (pow x 2) (pow y 4)) 9) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(/ x (pow y 4)) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
| Outputs |
|---|
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
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(- (/ (pow x 2) (pow y 4)) 9) |
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -9 binary64)) |
(- (/ (pow x 2) (pow y 4)) 9) |
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -9 binary64)) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -9 binary64)) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -9 binary64)) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -9 binary64)) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -9 binary64)) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -9 binary64)) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -9 binary64)) |
(/ (pow x 2) (pow y 4)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) |
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4)) |
(/.f64 (fma.f64 x x (*.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4)) |
(/.f64 (fma.f64 x x (*.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4)) |
(/.f64 (fma.f64 x x (*.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
-9 |
#s(literal -9 binary64) |
(- (/ (pow x 2) (pow y 4)) 9) |
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -9 binary64)) |
(- (/ (pow x 2) (pow y 4)) 9) |
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -9 binary64)) |
(- (/ (pow x 2) (pow y 4)) 9) |
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -9 binary64)) |
-9 |
#s(literal -9 binary64) |
(- (/ (pow x 2) (pow y 4)) 9) |
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -9 binary64)) |
(- (/ (pow x 2) (pow y 4)) 9) |
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -9 binary64)) |
(- (/ (pow x 2) (pow y 4)) 9) |
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -9 binary64)) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
| 5 016× | lower-*.f32 |
| 5 006× | lower-*.f64 |
| 4 514× | lower-/.f32 |
| 4 498× | lower-/.f64 |
| 3 884× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 138 |
| 0 | 55 | 106 |
| 1 | 210 | 89 |
| 2 | 1418 | 89 |
| 0 | 8095 | 84 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) y) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) |
(/.f64 x (*.f64 y y)) |
(*.f64 y y) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64)) |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64)) |
(*.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) |
(fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) |
(/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) |
(*.f64 y (*.f64 y (*.f64 y y))) |
| Outputs |
|---|
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)))) #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)))) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)))) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)))) #s(literal -9 binary64))) |
(+.f64 (*.f64 #s(literal -9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))) (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)))))) |
(+.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))) (*.f64 #s(literal -9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)) #s(literal 9 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)))) (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 9 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)))) (/.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 9 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -3 binary64) (neg.f64 (/.f64 x (*.f64 y y))))) (/.f64 (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -9 binary64)) (+.f64 #s(literal -3 binary64) (neg.f64 (/.f64 x (*.f64 y y)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 9 binary64)) (/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y y)))) (/.f64 #s(literal 27 binary64) (-.f64 (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 9 binary64)) (/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y y))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (*.f64 (/.f64 x (*.f64 y y)) x) (*.f64 x #s(literal -3 binary64))) (*.f64 y y)))) (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (*.f64 (/.f64 x (*.f64 y y)) x) (*.f64 x #s(literal -3 binary64))) (*.f64 y y))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 9 binary64)))) (/.f64 #s(literal 81 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 9 binary64))))) |
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))) (/.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) |
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y) #s(literal -3 binary64)) |
(fma.f64 #s(literal -9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)))) (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)))))) |
(fma.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64) #s(literal -3 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)))) #s(literal -9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)))) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)))) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)))) #s(literal -9 binary64))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)))) (*.f64 #s(literal -9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 y y)) #s(literal -3 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y y))) #s(literal -3 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y) #s(literal -3 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -3 binary64)) |
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) |
(fma.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal -3 binary64)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y)) (neg.f64 x) #s(literal -3 binary64)) |
(neg.f64 (/.f64 (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -9 binary64)) (+.f64 #s(literal -3 binary64) (neg.f64 (/.f64 x (*.f64 y y)))))) |
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)))) (+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 #s(literal 81 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -9 binary64)) (*.f64 (*.f64 y y) (*.f64 y y)))))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y))))) #s(literal -729 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (*.f64 (/.f64 x (*.f64 y y)) x) (*.f64 x #s(literal -3 binary64))) (*.f64 y y))) (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 9 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal -81 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 #s(literal 81 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -9 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))))) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y))))) #s(literal -729 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 #s(literal 81 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -9 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))))) (+.f64 #s(literal -3 binary64) (neg.f64 (/.f64 x (*.f64 y y))))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y))))) #s(literal -729 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal -81 binary64)) #s(literal 1 binary64)))) |
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(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal -81 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 9 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 81 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))))) (neg.f64 (-.f64 #s(literal -9 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 9 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 9 binary64))) (fma.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 9 binary64))) (/.f64 #s(literal 81 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 9 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 9 binary64))) (/.f64 #s(literal 81 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 9 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -9 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -9 binary64))) |
(*.f64 (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -9 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y))))) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 #s(literal 81 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -9 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal -81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 9 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x)) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (log.f64 (/.f64 x (*.f64 y y))) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 x (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))) |
(neg.f64 (/.f64 x (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))) |
(neg.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 y y) (*.f64 y y)))) |
(/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) |
(/.f64 (/.f64 x y) (*.f64 y (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (/.f64 x (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (/.f64 x y) (*.f64 y y)))) |
(/.f64 (/.f64 x (*.f64 y y)) (*.f64 y y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x))) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y)))) |
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 (*.f64 y (*.f64 y y)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))) |
(/.f64 (/.f64 x (*.f64 y (*.f64 y y))) y) |
(/.f64 (neg.f64 (/.f64 x (*.f64 y y))) (neg.f64 (*.f64 y y))) |
(/.f64 (/.f64 (/.f64 x y) (*.f64 y y)) y) |
(/.f64 (neg.f64 (neg.f64 (/.f64 x y))) (neg.f64 (neg.f64 (*.f64 y (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y)))))) |
(/.f64 (neg.f64 (/.f64 x (*.f64 y (*.f64 y y)))) (neg.f64 y)) |
(/.f64 (neg.f64 (/.f64 (/.f64 x y) (*.f64 y y))) (neg.f64 y)) |
(pow.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 y y) x) (*.f64 y y)) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 x y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(pow.f64 y #s(literal 4 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (*.f64 y y)) #s(literal 2 binary64)) |
(*.f64 y (*.f64 y (*.f64 y y))) |
(*.f64 (*.f64 y y) (*.f64 y y)) |
(*.f64 (*.f64 y (*.f64 y y)) y) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (*.f64 y y)) (neg.f64 (*.f64 y y))) |
Compiled 37 551 to 1 529 computations (95.9% saved)
12 alts after pruning (5 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 427 | 5 | 1 432 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 4 | 5 |
| Total | 1 430 | 12 | 1 442 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 59.2% | (/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) |
| ✓ | 99.9% | (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
| ✓ | 97.0% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| ✓ | 99.9% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64)) |
| ✓ | 59.2% | (*.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) |
| ▶ | 48.7% | #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 x y) y)) |
| ▶ | 48.7% | #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))) |
| ✓ | 45.8% | #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) |
| ▶ | 45.8% | #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))) |
| ▶ | 48.7% | #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))) |
| ▶ | 45.7% | #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) |
| ✓ | 53.5% | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
Compiled 183 to 109 computations (40.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))) | |
| cost-diff | 1088 | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 (*.f64 y y) x) | |
| cost-diff | 0 | #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 x y) y)) | |
| cost-diff | 384 | (/.f64 (/.f64 x y) y) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| cost-diff | 0 | #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 704 | (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
| 278× | times-frac |
| 250× | lower-*.f32 |
| 244× | lower-*.f64 |
| 170× | lower-/.f32 |
| 154× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 221 |
| 0 | 42 | 215 |
| 1 | 67 | 185 |
| 2 | 98 | 185 |
| 3 | 212 | 185 |
| 4 | 506 | 185 |
| 5 | 531 | 185 |
| 6 | 546 | 185 |
| 7 | 570 | 185 |
| 8 | 599 | 185 |
| 0 | 599 | 180 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 x y) |
x |
y |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) |
(*.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 |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 x y) y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 y x) |
x |
| Outputs |
|---|
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x y) |
x |
y |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(/.f64 x (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
x |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (*.f64 y y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
(/.f64 x (*.f64 y y)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(/.f64 x (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 y x) |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.201503759768442 | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) | |
| accuracy | 32.75801329947329 | #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.3053538331330155 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) | |
| accuracy | 7.001216372813622 | (/.f64 (*.f64 y y) x) | |
| accuracy | 32.75801329947329 | #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.1640625 | (/.f64 (/.f64 x y) y) | |
| accuracy | 32.75801329947329 | #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 x y) y)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.2666156880239784 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| accuracy | 6.886841511397711 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) | |
| accuracy | 32.75801329947329 | #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.20931625976844204 | (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 32.75801329947329 | #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))) |
| 46.0ms | 256× | 0 | valid |
Compiled 185 to 26 computations (85.9% saved)
ival-div: 19.0ms (58.6% of total)ival-mult: 10.0ms (30.8% of total)ival-add: 2.0ms (6.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) (patch (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) (patch #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 x y) y)) (patch #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 x y) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #<representation binary64>) () ()) |
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#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (/ (+ x (* -3 (pow y 2))) (pow y 2)) (taylor 0 y) (#s(alt #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))) (patch #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt -3 (taylor inf y) (#s(alt #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))) (patch #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor inf y) (#s(alt #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))) (patch #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor inf y) (#s(alt #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))) (patch #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor inf y) (#s(alt #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))) (patch #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt -3 (taylor -inf y) (#s(alt #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))) (patch #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor -inf y) (#s(alt #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))) (patch #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor -inf y) (#s(alt #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))) (patch #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (pow y 2)) 3) (taylor -inf y) (#s(alt #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))) (patch #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (/ (* y y) x) |
| 0.0ms | x | @ | 0 | (* (/ x y) (/ 1 y)) |
| 0.0ms | x | @ | -inf | (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) |
| 0.0ms | y | @ | inf | (* y y) |
| 0.0ms | x | @ | 0 | (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) |
| 1× | egg-herbie |
| 3 720× | lower-fma.f64 |
| 3 720× | lower-fma.f32 |
| 2 776× | lower-*.f64 |
| 2 776× | lower-*.f32 |
| 1 920× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 1716 |
| 1 | 47 | 1716 |
| 2 | 106 | 1716 |
| 3 | 254 | 1716 |
| 4 | 481 | 1716 |
| 5 | 812 | 1716 |
| 6 | 1362 | 1716 |
| 7 | 2282 | 1716 |
| 8 | 3032 | 1716 |
| 9 | 3375 | 1716 |
| 10 | 3762 | 1716 |
| 11 | 3994 | 1716 |
| 12 | 4295 | 1716 |
| 13 | 4907 | 1716 |
| 14 | 5012 | 1716 |
| 15 | 5500 | 1716 |
| 16 | 5862 | 1716 |
| 17 | 6298 | 1716 |
| 18 | 6595 | 1716 |
| 19 | 6917 | 1716 |
| 20 | 7049 | 1716 |
| 21 | 7065 | 1716 |
| 22 | 7065 | 1716 |
| 0 | 8168 | 1716 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ 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) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ 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)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
| Outputs |
|---|
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
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(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(- (/ x (pow y 2)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/ 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) |
| 5 686× | lower-*.f32 |
| 5 680× | lower-*.f64 |
| 4 096× | lower-/.f32 |
| 4 080× | lower-/.f64 |
| 2 124× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 198 |
| 0 | 42 | 172 |
| 1 | 151 | 110 |
| 2 | 1439 | 110 |
| 0 | 8279 | 105 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
(/.f64 (/.f64 x y) y) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 x y) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))) |
(/.f64 (*.f64 y y) x) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))) |
(/.f64 y x) |
| Outputs |
|---|
(exp.f64 (log.f64 (/.f64 x (*.f64 y y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (/.f64 x (neg.f64 y)) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 y))) (/.f64 x (*.f64 y (neg.f64 y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y x))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 y x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) x))) |
(neg.f64 (/.f64 x (*.f64 y (neg.f64 y)))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 y x))) |
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y))) |
(neg.f64 (/.f64 (/.f64 x (neg.f64 y)) y)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 y x) (neg.f64 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y))) |
(/.f64 (neg.f64 x) (*.f64 y (neg.f64 y))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (/.f64 y x))) |
(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 y)) |
(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 y (neg.f64 y))) |
(/.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (neg.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 y y)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 y (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 y y)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x))) (*.f64 y (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 y (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (*.f64 y (neg.f64 y))))) |
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.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 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(*.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)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) x))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.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) (*.f64 y y)) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(*.f64 (pow.f64 (/.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (/.f64 x (neg.f64 y))) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 x (neg.f64 y))) |
(neg.f64 (/.f64 x (neg.f64 y))) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(pow.f64 (/.f64 x y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/2 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 y)))) |
(pow.f64 y #s(literal -1 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(exp.f64 (log.f64 (/.f64 x (*.f64 y y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (/.f64 x (neg.f64 y)) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 y))) (/.f64 x (*.f64 y (neg.f64 y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y x))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 y x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) x))) |
(neg.f64 (/.f64 x (*.f64 y (neg.f64 y)))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 y x))) |
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y))) |
(neg.f64 (/.f64 (/.f64 x (neg.f64 y)) y)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 y x) (neg.f64 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y))) |
(/.f64 (neg.f64 x) (*.f64 y (neg.f64 y))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (/.f64 y x))) |
(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 y)) |
(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 y (neg.f64 y))) |
(/.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (neg.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 y y)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 y (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 y y)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x))) (*.f64 y (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 y (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (*.f64 y (neg.f64 y))))) |
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.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 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(*.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)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) x))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.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) (*.f64 y y)) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(*.f64 (pow.f64 (/.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
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(pow.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 y (/.f64 y x)) |
(*.f64 y (/.f64 (/.f64 y x) #s(literal 1 binary64))) |
(*.f64 y (pow.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 y x) y) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) x)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (/.f64 (*.f64 y y) x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (neg.f64 (/.f64 y x)) (neg.f64 y)) |
(*.f64 (neg.f64 (/.f64 y x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y y)) |
(*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 y x) #s(literal -1 binary64)) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 (/.f64 y x))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 y x)) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (pow.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) y) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 y y)) |
(*.f64 (pow.f64 (*.f64 y (neg.f64 y)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 y (neg.f64 y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (/.f64 y x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (/.f64 y x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (/.f64 x (*.f64 y y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (/.f64 x (neg.f64 y)) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 y))) (/.f64 x (*.f64 y (neg.f64 y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y x))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 y x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) x))) |
(neg.f64 (/.f64 x (*.f64 y (neg.f64 y)))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 y x))) |
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y))) |
(neg.f64 (/.f64 (/.f64 x (neg.f64 y)) y)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 y x) (neg.f64 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y))) |
(/.f64 (neg.f64 x) (*.f64 y (neg.f64 y))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (/.f64 y x))) |
(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 y)) |
(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 y (neg.f64 y))) |
(/.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (neg.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 y y)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 y (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 y y)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x))) (*.f64 y (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 y (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (*.f64 y (neg.f64 y))))) |
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.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 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(*.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)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) x))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.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) (*.f64 y y)) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(*.f64 (pow.f64 (/.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (/.f64 x (neg.f64 y))) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 (/.f64 y x))) |
(neg.f64 (neg.f64 (/.f64 y x))) |
(/.f64 y x) |
(/.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(pow.f64 (/.f64 x y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 y (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 y x)) |
(*.f64 (/.f64 y x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
Compiled 9 164 to 657 computations (92.8% saved)
12 alts after pruning (1 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 982 | 1 | 983 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 7 | 7 |
| Total | 983 | 12 | 995 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 59.2% | (/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) |
| ✓ | 99.9% | (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
| ✓ | 97.0% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| ✓ | 99.9% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64)) |
| ✓ | 59.2% | (*.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) |
| ✓ | 48.7% | #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 x y) y)) |
| ✓ | 48.7% | #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))) |
| ✓ | 45.8% | #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) |
| 48.7% | #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))) | |
| ✓ | 48.7% | #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))) |
| ✓ | 45.7% | #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) |
| ✓ | 53.5% | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
Compiled 296 to 116 computations (60.8% saved)
| Inputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 x y) y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))) |
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal 3 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #s(literal 3 binary64)) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64)) |
(/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) |
(*.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) |
| Outputs |
|---|
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
5 calls:
| 7.0ms | y |
| 6.0ms | (*.f64 y y) |
| 6.0ms | x |
| 5.0ms | (/.f64 x (*.f64 y y)) |
| 5.0ms | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 99.9% | 1 | (/.f64 x (*.f64 y y)) |
| 99.9% | 1 | (*.f64 y y) |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 x y) y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 x y) y)) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
5 calls:
| 9.0ms | (/.f64 x (*.f64 y y)) |
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (*.f64 y y) |
| 2.0ms | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 1 | x |
| 99.9% | 2 | y |
| 97.0% | 1 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 97.0% | 1 | (/.f64 x (*.f64 y y)) |
| 99.9% | 2 | (*.f64 y y) |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) |
| Outputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
5 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 y y) |
| 2.0ms | (/.f64 x (*.f64 y y)) |
| 2.0ms | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 1 | x |
| 97.0% | 1 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 97.0% | 1 | (/.f64 x (*.f64 y y)) |
| 97.0% | 1 | y |
| 97.0% | 1 | (*.f64 y y) |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) |
#s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 x (*.f64 y y))) |
| Outputs |
|---|
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) |
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) |
5 calls:
| 11.0ms | (*.f64 y y) |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 x (*.f64 y y)) |
| 2.0ms | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.1% | 2 | y |
| 82.1% | 2 | (*.f64 y y) |
| 72.0% | 3 | x |
| 96.2% | 3 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 96.2% | 3 | (/.f64 x (*.f64 y y)) |
Compiled 27 to 17 computations (37% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
| Outputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
5 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 x (*.f64 y y)) |
| 1.0ms | (*.f64 y y) |
| 1.0ms | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.5% | 1 | x |
| 53.5% | 1 | y |
| 53.5% | 1 | (*.f64 y y) |
| 53.5% | 1 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 53.5% | 1 | (/.f64 x (*.f64 y y)) |
Compiled 27 to 17 computations (37% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.5630132725825085e-299 | 3.435934622532132e-299 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 1.4056435775538667e-17 | 1.1245306458880054e+24 |
| 12.0ms | -40.10175423959228 | -0.0003055589254980561 |
| 12.0ms | 336× | 0 | valid |
Compiled 222 to 158 computations (28.8% saved)
ival-sub: 2.0ms (93.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 6× | +-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 2× | *-commutative_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 114 |
| 1 | 34 | 114 |
| 2 | 40 | 114 |
| 3 | 42 | 114 |
| 4 | 43 | 114 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(if (<=.f64 (*.f64 y y) #s(literal 7540071506325551/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832 binary64)) #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) (if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))))) |
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(if (<=.f64 (*.f64 y y) #s(literal 7540071506325551/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832 binary64)) #s(approx (/ (+ (* x (/ x (* y (* y (* y y))))) -9) (+ (/ x (* y y)) 3)) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) (if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))))) |
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
| 5 016× | lower-*.f32 |
| 5 006× | lower-*.f64 |
| 4 514× | lower-/.f32 |
| 4 498× | lower-/.f64 |
| 4 186× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 38 | 15 |
| 2 | 288 | 15 |
| 3 | 3249 | 15 |
| 0 | 8174 | 14 |
| 0 | 39 | 1782 |
| 1 | 74 | 1782 |
| 2 | 163 | 1782 |
| 3 | 394 | 1782 |
| 4 | 867 | 1782 |
| 5 | 1757 | 1782 |
| 6 | 3382 | 1782 |
| 7 | 4885 | 1782 |
| 8 | 6102 | 1782 |
| 9 | 6939 | 1782 |
| 10 | 7588 | 1782 |
| 0 | 8043 | 1749 |
| 0 | 21 | 300 |
| 1 | 43 | 300 |
| 2 | 103 | 300 |
| 3 | 250 | 300 |
| 4 | 472 | 300 |
| 5 | 785 | 300 |
| 6 | 1177 | 300 |
| 7 | 1855 | 300 |
| 8 | 2697 | 300 |
| 9 | 3327 | 300 |
| 10 | 3815 | 300 |
| 11 | 4073 | 300 |
| 12 | 4256 | 300 |
| 13 | 4723 | 300 |
| 14 | 5512 | 300 |
| 15 | 6174 | 300 |
| 16 | 7377 | 300 |
| 0 | 8081 | 300 |
| 0 | 34 | 138 |
| 0 | 55 | 106 |
| 1 | 210 | 89 |
| 2 | 1418 | 89 |
| 0 | 8095 | 84 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 120 to 50 computations (58.3% saved)
(abs y)
Compiled 206 to 82 computations (60.2% saved)
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