
Time bar (total: 8.8s)
| 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% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 9 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 10 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 11 |
| 93.8% | 93.6% | 6.2% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 1.0s | 8 256× | 0 | valid |
ival-sub: 303.0ms (70.3% of total)ival-div: 61.0ms (14.2% of total)ival-mult: 58.0ms (13.5% of total)ival-true: 6.0ms (1.4% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 39 | 0 | - | 1 | (-3.931281099182155e-186 -5.347681443655584e-131 -7.014743956437462e-292) | (/.f64 (*.f64 x (-.f64 y z)) y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 y z) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x (-.f64 y z)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x (-.f64 y z)) y) | o/n | 33 | 0 |
| ↳ | (*.f64 x (-.f64 y z)) | overflow | 55 | |
/.f64 | (/.f64 (*.f64 x (-.f64 y z)) y) | u/n | 5 | 0 |
| ↳ | (*.f64 x (-.f64 y z)) | underflow | 5 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 38 | 1 |
| - | 0 | 217 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 38 | 0 | 1 |
| - | 0 | 0 | 217 |
| number | freq |
|---|---|
| 0 | 218 |
| 1 | 38 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 52.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-div: 4.0ms (38.3% of total)ival-sub: 3.0ms (28.7% of total)ival-mult: 3.0ms (28.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 3 616× | lower-fma.f64 |
| 3 616× | lower-fma.f32 |
| 2 104× | lower-*.f32 |
| 2 102× | lower-*.f64 |
| 1 924× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 76 |
| 1 | 80 | 70 |
| 2 | 276 | 65 |
| 3 | 1156 | 63 |
| 4 | 3211 | 63 |
| 5 | 4696 | 63 |
| 6 | 5611 | 63 |
| 7 | 6028 | 63 |
| 8 | 6204 | 63 |
| 9 | 6212 | 63 |
| 10 | 6675 | 63 |
| 11 | 7576 | 63 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 14 | 7 |
| 2 | 31 | 7 |
| 3 | 52 | 7 |
| 4 | 102 | 7 |
| 5 | 190 | 7 |
| 6 | 401 | 7 |
| 7 | 1096 | 7 |
| 8 | 3217 | 7 |
| 9 | 4412 | 7 |
| 10 | 5096 | 7 |
| 11 | 5275 | 7 |
| 12 | 5417 | 7 |
| 13 | 5593 | 7 |
| 14 | 7024 | 7 |
| 15 | 7493 | 7 |
| 16 | 7656 | 7 |
| 17 | 7763 | 7 |
| 18 | 7785 | 7 |
| 19 | 7785 | 7 |
| 0 | 8069 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (-.f64 y z)) y) |
| Outputs |
|---|
(/.f64 (*.f64 x (-.f64 y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(negabs x)
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 85.6% | (/.f64 (*.f64 x (-.f64 y z)) y) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | (*.f64 x (-.f64 y z)) | |
| cost-diff | 0 | (/.f64 (*.f64 x (-.f64 y z)) y) |
| 3 616× | lower-fma.f64 |
| 3 616× | lower-fma.f32 |
| 2 104× | lower-*.f32 |
| 2 102× | lower-*.f64 |
| 1 412× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 9 | 18 |
| 1 | 14 | 18 |
| 2 | 31 | 18 |
| 3 | 52 | 18 |
| 4 | 102 | 18 |
| 5 | 190 | 18 |
| 6 | 401 | 18 |
| 7 | 1096 | 18 |
| 8 | 3217 | 18 |
| 9 | 4412 | 18 |
| 10 | 5096 | 18 |
| 11 | 5275 | 18 |
| 12 | 5417 | 18 |
| 13 | 5593 | 18 |
| 14 | 7024 | 18 |
| 15 | 7493 | 18 |
| 16 | 7656 | 18 |
| 17 | 7763 | 18 |
| 18 | 7785 | 18 |
| 19 | 7785 | 18 |
| 0 | 8069 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (-.f64 y z)) y) |
(*.f64 x (-.f64 y z)) |
x |
(-.f64 y z) |
y |
z |
| Outputs |
|---|
(/.f64 (*.f64 x (-.f64 y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(*.f64 x (-.f64 y z)) |
(*.f64 (-.f64 y z) x) |
x |
(-.f64 y z) |
y |
z |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0.0078125 | (*.f64 x (-.f64 y z)) | |
| accuracy | 9.20137232610462 | (/.f64 (*.f64 x (-.f64 y z)) y) |
| 13.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-sub: 3.0ms (48.2% of total)ival-div: 2.0ms (32.1% of total)ival-mult: 2.0ms (32.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ()) |
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 z) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor inf z) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (/ (* x y) z))) (taylor inf z) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (/ (* x y) z))) (taylor inf z) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (/ (* x y) z))) (taylor inf z) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor -inf z) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x y)) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x y)) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x y)) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor 0 y) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 y) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 y) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 y) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (- y z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (- y z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (- y z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf y) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (/ (* x z) y)))) (taylor inf y) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (/ (* x z) y)))) (taylor inf y) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (/ (* x z) y)))) (taylor inf y) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf y) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (/ (* x z) y)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (/ (* x z) y)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (/ (* x z) y)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor 0 x) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor 0 x) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor 0 x) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor 0 x) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor inf x) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor inf x) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor inf x) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor inf x) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((/ (* x (- y z)) y) (* x (- y z)) (- y z)) |
| 1.0ms | x | @ | -inf | ((/ (* x (- y z)) y) (* x (- y z)) (- y z)) |
| 1.0ms | x | @ | inf | ((/ (* x (- y z)) y) (* x (- y z)) (- y z)) |
| 1.0ms | z | @ | -inf | ((/ (* x (- y z)) y) (* x (- y z)) (- y z)) |
| 1.0ms | z | @ | inf | ((/ (* x (- y z)) y) (* x (- y z)) (- y z)) |
| 1× | egg-herbie |
| 3 842× | lower-fma.f64 |
| 3 842× | lower-fma.f32 |
| 2 802× | lower-*.f64 |
| 2 802× | lower-*.f32 |
| 1 412× | div-sub |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 585 |
| 1 | 174 | 465 |
| 2 | 493 | 465 |
| 3 | 1303 | 465 |
| 4 | 2739 | 465 |
| 5 | 4443 | 465 |
| 6 | 5818 | 465 |
| 7 | 6239 | 465 |
| 8 | 6355 | 465 |
| 9 | 6423 | 465 |
| 10 | 7298 | 465 |
| 11 | 7590 | 465 |
| 0 | 8001 | 465 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(* x y) |
(+ (* -1 (* x z)) (* x y)) |
(+ (* -1 (* x z)) (* x y)) |
(+ (* -1 (* x z)) (* x y)) |
y |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(* -1 z) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* -1 (/ (* x z) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* x z)) |
(* -1 (* z (+ x (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ x (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ x (* -1 (/ (* x y) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(* -1 (* x z)) |
(+ (* -1 (* x z)) (* x y)) |
(+ (* -1 (* x z)) (* x y)) |
(+ (* -1 (* x z)) (* x y)) |
(* -1 z) |
(- y z) |
(- y z) |
(- y z) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(* x y) |
(* y (+ x (* -1 (/ (* x z) y)))) |
(* y (+ x (* -1 (/ (* x z) y)))) |
(* y (+ x (* -1 (/ (* x z) y)))) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (/ (* x z) y)))) |
(* -1 (* y (+ (* -1 x) (/ (* x z) y)))) |
(* -1 (* y (+ (* -1 x) (/ (* x z) y)))) |
y |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(* x (- y z)) |
(* x (- y z)) |
(* x (- y z)) |
(* x (- y z)) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(* x (- y z)) |
(* x (- y z)) |
(* x (- y z)) |
(* x (- y z)) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(* x (- y z)) |
(* x (- y z)) |
(* x (- y z)) |
(* x (- y z)) |
| Outputs |
|---|
x |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* x y) |
(*.f64 y x) |
(+ (* -1 (* x z)) (* x y)) |
(*.f64 (-.f64 y z) x) |
(+ (* -1 (* x z)) (* x y)) |
(*.f64 (-.f64 y z) x) |
(+ (* -1 (* x z)) (* x y)) |
(*.f64 (-.f64 y z) x) |
y |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(*.f64 (-.f64 y z) x) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(*.f64 (-.f64 y z) x) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(*.f64 (-.f64 y z) x) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* -1 (* z (+ x (* -1 (/ (* x y) z))))) |
(*.f64 (-.f64 y z) x) |
(* -1 (* z (+ x (* -1 (/ (* x y) z))))) |
(*.f64 (-.f64 y z) x) |
(* -1 (* z (+ x (* -1 (/ (* x y) z))))) |
(*.f64 (-.f64 y z) x) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(+ (* -1 (* x z)) (* x y)) |
(*.f64 (-.f64 y z) x) |
(+ (* -1 (* x z)) (* x y)) |
(*.f64 (-.f64 y z) x) |
(+ (* -1 (* x z)) (* x y)) |
(*.f64 (-.f64 y z) x) |
(* -1 z) |
(neg.f64 z) |
(- y z) |
(-.f64 y z) |
(- y z) |
(-.f64 y z) |
(- y z) |
(-.f64 y z) |
x |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (/ (* x z) y)))) |
(*.f64 (-.f64 y z) x) |
(* y (+ x (* -1 (/ (* x z) y)))) |
(*.f64 (-.f64 y z) x) |
(* y (+ x (* -1 (/ (* x z) y)))) |
(*.f64 (-.f64 y z) x) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
x |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (/ (* x z) y)))) |
(*.f64 (-.f64 y z) x) |
(* -1 (* y (+ (* -1 x) (/ (* x z) y)))) |
(*.f64 (-.f64 y z) x) |
(* -1 (* y (+ (* -1 x) (/ (* x z) y)))) |
(*.f64 (-.f64 y z) x) |
y |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
| 5 414× | lower-/.f32 |
| 5 412× | lower-/.f64 |
| 4 046× | lower-fma.f64 |
| 4 046× | lower-fma.f32 |
| 3 526× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 35 | 15 |
| 2 | 223 | 15 |
| 3 | 2306 | 15 |
| 0 | 9060 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (-.f64 y z)) y) |
(*.f64 x (-.f64 y z)) |
(-.f64 y z) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (/.f64 y x) (*.f64 (+.f64 z y) (neg.f64 (-.f64 y z)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (+.f64 z y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 y x) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x)) #s(literal -1 binary64)) (pow.f64 (+.f64 z y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 y x) (fma.f64 (neg.f64 z) z (*.f64 y y))) #s(literal -1 binary64)) (pow.f64 (+.f64 z y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 y) (-.f64 y z)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 y z) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 y z) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 y z))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 y z) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (-.f64 y z) x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (-.f64 y z) y)) |
(*.f64 (/.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 y z)) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 y z) y)) |
(*.f64 (/.f64 x y) (-.f64 y z)) |
(*.f64 (neg.f64 x) (*.f64 (-.f64 y z) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (-.f64 y z)) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 y z) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) |
(*.f64 (neg.f64 (-.f64 y z)) (/.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 (-.f64 y z)) (*.f64 x (/.f64 #s(literal -1 binary64) y))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) y))) |
(*.f64 (/.f64 (-.f64 y z) y) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (*.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (/.f64 x y))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 y z) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y z) x) y)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) (/.f64 x y))) |
(*.f64 (*.f64 (neg.f64 x) (-.f64 y z)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 y z) x) y) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 y z) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (-.f64 y z) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (-.f64 y z) (/.f64 x y)) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 (-.f64 y z) x)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 y (*.f64 (-.f64 y z) x)) (/.f64 y (*.f64 (-.f64 y z) x))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 y z) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 y (*.f64 (-.f64 y z) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (-.f64 y z) x) y) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 0 binary64) y) (fma.f64 (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) y)) (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) y)) (*.f64 (/.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) y)))))) |
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(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z z (-.f64 (*.f64 y y) (*.f64 (neg.f64 z) y)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (-.f64 (*.f64 y y) (*.f64 (neg.f64 z) y))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (/.f64 (pow.f64 z #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)))) (neg.f64 (-.f64 y z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 z y))) (neg.f64 (-.f64 y z))) |
(-.f64 (+.f64 y #s(literal 0 binary64)) z) |
(-.f64 (*.f64 y (/.f64 y (+.f64 z y))) (*.f64 z (/.f64 z (+.f64 z y)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(-.f64 #s(literal 0 binary64) (-.f64 z y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 y z) #s(literal -1 binary64))) |
(-.f64 y z) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 y (/.f64 y (+.f64 z y))) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))) |
(+.f64 (neg.f64 z) y) |
(+.f64 y (neg.f64 z)) |
Compiled 10 684 to 1 544 computations (85.5% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 499 | 9 | 508 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 499 | 10 | 509 |
| Status | Accuracy | Program |
|---|---|---|
| 81.9% | (/.f64 (-.f64 y z) (/.f64 y x)) | |
| 51.0% | (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) (*.f64 (+.f64 z y) y)) | |
| ✓ | 85.6% | (/.f64 (*.f64 x (-.f64 y z)) y) |
| ▶ | 49.1% | (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) |
| ▶ | 38.8% | (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
| ▶ | 96.9% | (/.f64 x (/.f64 y (-.f64 y z))) |
| ▶ | 96.3% | (*.f64 (/.f64 (-.f64 y z) y) x) |
| 81.7% | (*.f64 (/.f64 x y) (-.f64 y z)) | |
| ▶ | 85.5% | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) |
| 47.8% | #s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x)) |
Compiled 153 to 132 computations (13.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 128 | (*.f64 (neg.f64 x) (-.f64 y z)) | |
| cost-diff | -384 | (*.f64 (/.f64 (-.f64 y z) y) x) | |
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | (/.f64 (-.f64 y z) y) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (- y z) (neg.f64 z)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- y z) (neg.f64 z))) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (* x (- y z)) (*.f64 y x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) | |
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | (/.f64 y (-.f64 y z)) | |
| cost-diff | 0 | (/.f64 x (/.f64 y (-.f64 y z))) |
| 13 528× | lower-fma.f64 |
| 13 528× | lower-fma.f32 |
| 2 232× | lower-*.f32 |
| 2 222× | lower-*.f64 |
| 2 080× | lower-+.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 118 |
| 0 | 37 | 115 |
| 1 | 63 | 115 |
| 2 | 130 | 115 |
| 3 | 449 | 114 |
| 4 | 1282 | 114 |
| 5 | 2028 | 114 |
| 6 | 4486 | 114 |
| 7 | 5672 | 114 |
| 8 | 6245 | 114 |
| 9 | 6448 | 114 |
| 10 | 6531 | 114 |
| 11 | 6605 | 114 |
| 0 | 8140 | 114 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 y (-.f64 y z))) |
x |
(/.f64 y (-.f64 y z)) |
y |
(-.f64 y z) |
z |
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
#s(approx (* x (- y z)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) |
(*.f64 x #s(approx (- y z) (neg.f64 z))) |
x |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 z) |
z |
y |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/.f64 (-.f64 y z) y) |
(-.f64 y z) |
y |
z |
x |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(*.f64 (neg.f64 x) (-.f64 y z)) |
(neg.f64 x) |
x |
(-.f64 y z) |
z |
| Outputs |
|---|
(/.f64 x (/.f64 y (-.f64 y z))) |
x |
(/.f64 y (-.f64 y z)) |
y |
(-.f64 y z) |
z |
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
#s(approx (* x (- y z)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) |
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) |
(*.f64 x #s(approx (- y z) (neg.f64 z))) |
(*.f64 #s(approx (- y z) (neg.f64 z)) x) |
x |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 z) |
z |
y |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/.f64 x (/.f64 y (-.f64 y z))) |
(/.f64 (-.f64 y z) y) |
(-.f64 y z) |
y |
z |
x |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) |
(/.f64 x (/.f64 y (-.f64 y z))) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(*.f64 (neg.f64 x) (-.f64 y z)) |
(*.f64 (-.f64 z y) x) |
(neg.f64 x) |
x |
(-.f64 y z) |
z |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.0078125 | (*.f64 (neg.f64 x) (-.f64 y z)) | |
| accuracy | 9.27559107610462 | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) | |
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 y z) y) | |
| accuracy | 2.388632620460557 | (*.f64 (/.f64 (-.f64 y z) y) x) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.0078125 | (*.f64 x #s(approx (- y z) (neg.f64 z))) | |
| accuracy | 9.20137232610462 | (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) | |
| accuracy | 31.436932581907627 | #s(approx (- y z) (neg.f64 z)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 9.20137232610462 | (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) | |
| accuracy | 30.746273561945074 | #s(approx (* x (- y z)) (*.f64 y x)) | |
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0.0078125 | (/.f64 y (-.f64 y z)) | |
| accuracy | 1.9964702983617175 | (/.f64 x (/.f64 y (-.f64 y z))) |
| 72.0ms | 256× | 0 | valid |
Compiled 103 to 19 computations (81.6% saved)
ival-sub: 26.0ms (44.3% of total)ival-div: 23.0ms (39.2% of total)ival-mult: 7.0ms (11.9% of total)ival-neg: 2.0ms (3.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ()) |
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) (patch (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (- y z)) (*.f64 y x)) (patch #s(approx (* x (- y z)) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (- y z) (neg.f64 z))) (patch (*.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 y z) y) (patch (/.f64 (-.f64 y z) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (-.f64 y z) y) x) (patch (*.f64 (/.f64 (-.f64 y z) y) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) (-.f64 y z)) (patch (*.f64 (neg.f64 x) (-.f64 y z)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 z) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ z y)) (taylor 0 z) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (+ (/ 1 y) (/ z (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y)))) (taylor 0 z) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) (patch (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) (patch (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) (patch (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) (patch (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (* x (- y z)) (*.f64 y x)) (patch #s(approx (* x (- y z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt #s(approx (* x (- y z)) (*.f64 y x)) (patch #s(approx (* x (- y z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt #s(approx (* x (- y z)) (*.f64 y x)) (patch #s(approx (* x (- y z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt #s(approx (* x (- y z)) (*.f64 y x)) (patch #s(approx (* x (- y z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- y z) (neg.f64 z))) (patch (*.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- y z) (neg.f64 z))) (patch (*.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- y z) (neg.f64 z))) (patch (*.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- y z) (neg.f64 z))) (patch (*.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt (/.f64 (-.f64 y z) y) (patch (/.f64 (-.f64 y z) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ z y))) (taylor 0 z) (#s(alt (/.f64 (-.f64 y z) y) (patch (/.f64 (-.f64 y z) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ z y))) (taylor 0 z) (#s(alt (/.f64 (-.f64 y z) y) (patch (/.f64 (-.f64 y z) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ z y))) (taylor 0 z) (#s(alt (/.f64 (-.f64 y z) y) (patch (/.f64 (-.f64 y z) y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 y z) y) x) (patch (*.f64 (/.f64 (-.f64 y z) y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 y z) y) x) (patch (*.f64 (/.f64 (-.f64 y z) y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 y z) y) x) (patch (*.f64 (/.f64 (-.f64 y z) y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 y z) y) x) (patch (*.f64 (/.f64 (-.f64 y z) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 x) (-.f64 y z)) (patch (*.f64 (neg.f64 x) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (* x z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 x) (-.f64 y z)) (patch (*.f64 (neg.f64 x) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (* x z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 x) (-.f64 y z)) (patch (*.f64 (neg.f64 x) (-.f64 y z)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) (patch (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) (patch (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) (patch (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) (patch (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor inf x) (#s(alt #s(approx (* x (- y z)) (*.f64 y x)) (patch #s(approx (* x (- y z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor inf x) (#s(alt #s(approx (* x (- y z)) (*.f64 y x)) (patch #s(approx (* x (- y z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor inf x) (#s(alt #s(approx (* x (- y z)) (*.f64 y x)) (patch #s(approx (* x (- y z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor inf x) (#s(alt #s(approx (* x (- y z)) (*.f64 y x)) (patch #s(approx (* x (- y z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor inf x) (#s(alt (*.f64 x #s(approx (- y z) (neg.f64 z))) (patch (*.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor inf x) (#s(alt (*.f64 x #s(approx (- y z) (neg.f64 z))) (patch (*.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor inf x) (#s(alt (*.f64 x #s(approx (- y z) (neg.f64 z))) (patch (*.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor inf x) (#s(alt (*.f64 x #s(approx (- y z) (neg.f64 z))) (patch (*.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 (-.f64 y z) y) x) (patch (*.f64 (/.f64 (-.f64 y z) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 (-.f64 y z) y) x) (patch (*.f64 (/.f64 (-.f64 y z) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 (-.f64 y z) y) x) (patch (*.f64 (/.f64 (-.f64 y z) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 (-.f64 y z) y) x) (patch (*.f64 (/.f64 (-.f64 y z) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y z))) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) (-.f64 y z)) (patch (*.f64 (neg.f64 x) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y z))) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) (-.f64 y z)) (patch (*.f64 (neg.f64 x) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y z))) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) (-.f64 y z)) (patch (*.f64 (neg.f64 x) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y z))) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) (-.f64 y z)) (patch (*.f64 (neg.f64 x) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) (patch (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) (patch (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) (patch (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) (patch (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt #s(approx (* x (- y z)) (*.f64 y x)) (patch #s(approx (* x (- y z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt #s(approx (* x (- y z)) (*.f64 y x)) (patch #s(approx (* x (- y z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt #s(approx (* x (- y z)) (*.f64 y x)) (patch #s(approx (* x (- y z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt #s(approx (* x (- y z)) (*.f64 y x)) (patch #s(approx (* x (- y z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- y z) (neg.f64 z))) (patch (*.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- y z) (neg.f64 z))) (patch (*.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- y z) (neg.f64 z))) (patch (*.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- y z) (neg.f64 z))) (patch (*.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 y z) y) x) (patch (*.f64 (/.f64 (-.f64 y z) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 y z) y) x) (patch (*.f64 (/.f64 (-.f64 y z) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 y z) y) x) (patch (*.f64 (/.f64 (-.f64 y z) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 y z) y) x) (patch (*.f64 (/.f64 (-.f64 y z) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y z))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (-.f64 y z)) (patch (*.f64 (neg.f64 x) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y z))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (-.f64 y z)) (patch (*.f64 (neg.f64 x) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y z))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (-.f64 y z)) (patch (*.f64 (neg.f64 x) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y z))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (-.f64 y z)) (patch (*.f64 (neg.f64 x) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | ((/ x (/ y (- y z))) (/ y (- y z)) (- y z) (/ (* x (- y z)) y) (* x (- y z)) (* y x) (/ (* x (- y z)) y) (* x (- y z)) (- y z) (neg z) (/ (- y z) y) (* (/ (- y z) y) x) (* (neg x) (- y z)) (/ -1 y) (neg x) (* (/ -1 y) (* (neg x) (- y z)))) |
| 1.0ms | y | @ | 0 | ((/ x (/ y (- y z))) (/ y (- y z)) (- y z) (/ (* x (- y z)) y) (* x (- y z)) (* y x) (/ (* x (- y z)) y) (* x (- y z)) (- y z) (neg z) (/ (- y z) y) (* (/ (- y z) y) x) (* (neg x) (- y z)) (/ -1 y) (neg x) (* (/ -1 y) (* (neg x) (- y z)))) |
| 1.0ms | x | @ | -inf | ((/ x (/ y (- y z))) (/ y (- y z)) (- y z) (/ (* x (- y z)) y) (* x (- y z)) (* y x) (/ (* x (- y z)) y) (* x (- y z)) (- y z) (neg z) (/ (- y z) y) (* (/ (- y z) y) x) (* (neg x) (- y z)) (/ -1 y) (neg x) (* (/ -1 y) (* (neg x) (- y z)))) |
| 1.0ms | y | @ | inf | ((/ x (/ y (- y z))) (/ y (- y z)) (- y z) (/ (* x (- y z)) y) (* x (- y z)) (* y x) (/ (* x (- y z)) y) (* x (- y z)) (- y z) (neg z) (/ (- y z) y) (* (/ (- y z) y) x) (* (neg x) (- y z)) (/ -1 y) (neg x) (* (/ -1 y) (* (neg x) (- y z)))) |
| 1.0ms | x | @ | inf | ((/ x (/ y (- y z))) (/ y (- y z)) (- y z) (/ (* x (- y z)) y) (* x (- y z)) (* y x) (/ (* x (- y z)) y) (* x (- y z)) (- y z) (neg z) (/ (- y z) y) (* (/ (- y z) y) x) (* (neg x) (- y z)) (/ -1 y) (neg x) (* (/ -1 y) (* (neg x) (- y z)))) |
| 1× | egg-herbie |
| 7 438× | lower-fma.f64 |
| 7 438× | lower-fma.f32 |
| 3 492× | lower-*.f64 |
| 3 492× | lower-*.f32 |
| 1 646× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 169 | 2794 |
| 1 | 499 | 2406 |
| 2 | 1430 | 2319 |
| 3 | 4642 | 2312 |
| 0 | 8431 | 2299 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
1 |
(+ 1 (/ z y)) |
(+ 1 (* z (+ (/ 1 y) (/ z (pow y 2))))) |
(+ 1 (* z (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y)))) |
y |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(* x y) |
(+ (* -1 (* x z)) (* x y)) |
(+ (* -1 (* x z)) (* x y)) |
(+ (* -1 (* x z)) (* x y)) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(* x y) |
(+ (* -1 (* x z)) (* x y)) |
(+ (* -1 (* x z)) (* x y)) |
(+ (* -1 (* x z)) (* x y)) |
y |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
1 |
(+ 1 (* -1 (/ z y))) |
(+ 1 (* -1 (/ z y))) |
(+ 1 (* -1 (/ z y))) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* x z)) |
(+ (* -1 (* x y)) (* x z)) |
(+ (* -1 (* x y)) (* x z)) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* -1 (/ y z)) |
(/ (+ (* -1 y) (* -1 (/ (pow y 2) z))) z) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow z 2)))) (/ (pow y 2) z)) z) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow z 3)))) (+ (/ (pow y 2) z) (/ (pow y 3) (pow z 2)))) z) |
(* -1 z) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(* -1 z) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (/ z y)) |
(* z (- (/ 1 z) (/ 1 y))) |
(* z (- (/ 1 z) (/ 1 y))) |
(* z (- (/ 1 z) (/ 1 y))) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* x z) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* -1 (/ (* x z) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (/ y z)) |
(* -1 (/ (+ y (/ (pow y 2) z)) z)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z))) z)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (* -1 (pow y 3))) z)) (pow y 2)) z))) z)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (/ (* x z) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* x z)) |
(* -1 (* z (+ x (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ x (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ x (* -1 (/ (* x y) z))))) |
(* -1 (/ (* x z) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* x z)) |
(* -1 (* z (+ x (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ x (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ x (* -1 (/ (* x y) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (/ z y)) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(* -1 (/ (* x z) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (/ (* x y) z)))) |
(* -1 (* z (+ (* -1 x) (/ (* x y) z)))) |
(* -1 (* z (+ (* -1 x) (/ (* x y) z)))) |
(* -1 (/ (* x z) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(* -1 (/ y z)) |
(* y (- (* -1 (/ y (pow z 2))) (/ 1 z))) |
(* y (- (* y (- (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))) |
(* y (- (* y (- (* y (- (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))) |
(* -1 z) |
(- y z) |
(- y z) |
(- y z) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(* -1 (* x z)) |
(+ (* -1 (* x z)) (* x y)) |
(+ (* -1 (* x z)) (* x y)) |
(+ (* -1 (* x z)) (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(* -1 (* x z)) |
(+ (* -1 (* x z)) (* x y)) |
(+ (* -1 (* x z)) (* x y)) |
(+ (* -1 (* x z)) (* x y)) |
(* -1 z) |
(- y z) |
(- y z) |
(- y z) |
(* -1 (/ z y)) |
(/ (+ y (* -1 z)) y) |
(/ (+ y (* -1 z)) y) |
(/ (+ y (* -1 z)) y) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(* x z) |
(+ (* -1 (* x y)) (* x z)) |
(+ (* -1 (* x y)) (* x z)) |
(+ (* -1 (* x y)) (* x z)) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
1 |
(+ 1 (/ z y)) |
(- (+ 1 (/ (pow z 2) (pow y 2))) (* -1 (/ z y))) |
(- (+ 1 (/ (pow z 3) (pow y 3))) (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (pow y 2))))) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(* x y) |
(* y (+ x (* -1 (/ (* x z) y)))) |
(* y (+ x (* -1 (/ (* x z) y)))) |
(* y (+ x (* -1 (/ (* x z) y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(* x y) |
(* y (+ x (* -1 (/ (* x z) y)))) |
(* y (+ x (* -1 (/ (* x z) y)))) |
(* y (+ x (* -1 (/ (* x z) y)))) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
1 |
(+ 1 (* -1 (/ z y))) |
(+ 1 (* -1 (/ z y))) |
(+ 1 (* -1 (/ z y))) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ (* x z) y))) |
(* y (+ (* -1 x) (/ (* x z) y))) |
(* y (+ (* -1 x) (/ (* x z) y))) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
1 |
(+ 1 (/ z y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (* -1 (pow z 2))) y)) z) y))) |
y |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (/ (* x z) y)))) |
(* -1 (* y (+ (* -1 x) (/ (* x z) y)))) |
(* -1 (* y (+ (* -1 x) (/ (* x z) y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (/ (* x z) y)))) |
(* -1 (* y (+ (* -1 x) (/ (* x z) y)))) |
(* -1 (* y (+ (* -1 x) (/ (* x z) y)))) |
y |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
1 |
(+ 1 (* -1 (/ z y))) |
(+ 1 (* -1 (/ z y))) |
(+ 1 (* -1 (/ z y))) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(* -1 (* x y)) |
(* -1 (* y (+ x (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ x (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ x (* -1 (/ (* x z) y))))) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(* x (- y z)) |
(* x (- y z)) |
(* x (- y z)) |
(* x (- y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(* x (- y z)) |
(* x (- y z)) |
(* x (- y z)) |
(* x (- y z)) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(* -1 (* x (- y z))) |
(* -1 (* x (- y z))) |
(* -1 (* x (- y z))) |
(* -1 (* x (- y z))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(* x (- y z)) |
(* x (- y z)) |
(* x (- y z)) |
(* x (- y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(* x (- y z)) |
(* x (- y z)) |
(* x (- y z)) |
(* x (- y z)) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(* -1 (* x (- y z))) |
(* -1 (* x (- y z))) |
(* -1 (* x (- y z))) |
(* -1 (* x (- y z))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(* x (- y z)) |
(* x (- y z)) |
(* x (- y z)) |
(* x (- y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(* x (- y z)) |
(* x (- y z)) |
(* x (- y z)) |
(* x (- y z)) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(* -1 (* x (- y z))) |
(* -1 (* x (- y z))) |
(* -1 (* x (- y z))) |
(* -1 (* x (- y z))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
| Outputs |
|---|
x |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ z y)) |
(-.f64 (/.f64 z y) #s(literal -1 binary64)) |
(+ 1 (* z (+ (/ 1 y) (/ z (pow y 2))))) |
(fma.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 z y) #s(literal 1 binary64)) |
(+ 1 (* z (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y)))) |
(+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 z z (/.f64 (pow.f64 z #s(literal 3 binary64)) y)) y) z) y) #s(literal 1 binary64)) |
y |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
x |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* x y) |
(*.f64 y x) |
(+ (* -1 (* x z)) (* x y)) |
(*.f64 (-.f64 y z) x) |
(+ (* -1 (* x z)) (* x y)) |
(*.f64 (-.f64 y z) x) |
(+ (* -1 (* x z)) (* x y)) |
(*.f64 (-.f64 y z) x) |
x |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* x y) |
(*.f64 y x) |
(+ (* -1 (* x z)) (* x y)) |
(*.f64 (-.f64 y z) x) |
(+ (* -1 (* x z)) (* x y)) |
(*.f64 (-.f64 y z) x) |
(+ (* -1 (* x z)) (* x y)) |
(*.f64 (-.f64 y z) x) |
y |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ z y))) |
(/.f64 (-.f64 y z) y) |
(+ 1 (* -1 (/ z y))) |
(/.f64 (-.f64 y z) y) |
(+ 1 (* -1 (/ z y))) |
(/.f64 (-.f64 y z) y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(+ (* -1 (* x y)) (* x z)) |
(*.f64 (-.f64 z y) x) |
(+ (* -1 (* x y)) (* x z)) |
(*.f64 (-.f64 z y) x) |
(+ (* -1 (* x y)) (* x z)) |
(*.f64 (-.f64 z y) x) |
x |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(/ (+ (* -1 y) (* -1 (/ (pow y 2) z))) z) |
(/.f64 (fma.f64 (/.f64 y z) y y) (neg.f64 z)) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow z 2)))) (/ (pow y 2) z)) z) |
(/.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) y y) y) (neg.f64 z)) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow z 3)))) (+ (/ (pow y 2) z) (/ (pow y 3) (pow z 2)))) z) |
(/.f64 (+.f64 (/.f64 (fma.f64 y y (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (pow.f64 y #s(literal 3 binary64))) z)) z) y) (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(*.f64 (-.f64 y z) x) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(*.f64 (-.f64 y z) x) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(*.f64 (-.f64 y z) x) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(*.f64 (-.f64 y z) x) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(*.f64 (-.f64 y z) x) |
(* z (+ (* -1 x) (/ (* x y) z))) |
(*.f64 (-.f64 y z) x) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* z (- (/ 1 z) (/ 1 y))) |
(/.f64 (-.f64 y z) y) |
(* z (- (/ 1 z) (/ 1 y))) |
(/.f64 (-.f64 y z) y) |
(* z (- (/ 1 z) (/ 1 y))) |
(/.f64 (-.f64 y z) y) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* x z) |
(*.f64 z x) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 z y) x) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 z y) x) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 z y) x) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
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(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* -1 (* x (- y z))) |
(*.f64 (-.f64 z y) x) |
(* -1 (* x (- y z))) |
(*.f64 (-.f64 z y) x) |
(* -1 (* x (- y z))) |
(*.f64 (-.f64 z y) x) |
(* -1 (* x (- y z))) |
(*.f64 (-.f64 z y) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
(* x (- y z)) |
(*.f64 (-.f64 y z) x) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* -1 (* x (- y z))) |
(*.f64 (-.f64 z y) x) |
(* -1 (* x (- y z))) |
(*.f64 (-.f64 z y) x) |
(* -1 (* x (- y z))) |
(*.f64 (-.f64 z y) x) |
(* -1 (* x (- y z))) |
(*.f64 (-.f64 z y) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ (* x (- y z)) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
| 3 276× | lower-*.f32 |
| 3 266× | lower-*.f64 |
| 2 624× | lower-/.f32 |
| 2 612× | lower-/.f64 |
| 1 406× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 97 |
| 0 | 37 | 94 |
| 1 | 106 | 94 |
| 2 | 580 | 93 |
| 3 | 6231 | 89 |
| 0 | 8696 | 86 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 y (-.f64 y z))) |
(/.f64 y (-.f64 y z)) |
(-.f64 y z) |
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
#s(approx (* x (- y z)) (*.f64 y x)) |
(*.f64 y x) |
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) |
(*.f64 x #s(approx (- y z) (neg.f64 z))) |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 z) |
(/.f64 (-.f64 y z) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 (neg.f64 x) (-.f64 y z)) |
(/.f64 #s(literal -1 binary64) y) |
(neg.f64 x) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (/.f64 x y) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (-.f64 z y) (*.f64 y y))) |
(*.f64 (/.f64 (*.f64 (/.f64 x y) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (-.f64 y z)) |
(*.f64 (/.f64 (*.f64 (/.f64 x y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)) #s(literal 2 binary64))) (fma.f64 z (-.f64 z y) (*.f64 y y))) |
(*.f64 (/.f64 (*.f64 (/.f64 x y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 z (-.f64 z y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 z (-.f64 z y)) (-.f64 (*.f64 z (-.f64 z y)) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (-.f64 z y)) |
(*.f64 (/.f64 (*.f64 (-.f64 z y) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 z y) y)) |
(*.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 y z)) |
(*.f64 (*.f64 (*.f64 (-.f64 y z) x) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (/.f64 x y) z x) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (/.f64 x y) z x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 y (pow.f64 (-.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 x (-.f64 y z))) |
(*.f64 (pow.f64 (/.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 x (fma.f64 z (-.f64 z y) (*.f64 y y)))) |
(*.f64 (/.f64 (*.f64 (-.f64 z y) x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 x (/.f64 y (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) (pow.f64 (-.f64 y z) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (/.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (pow.f64 (-.f64 z y) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 x (pow.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 y z))) |
(*.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 z (-.f64 z y) (*.f64 y y)))) |
(*.f64 (/.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 z y) y)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (-.f64 y z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) y) (-.f64 z y)) |
(*.f64 (*.f64 (/.f64 x y) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (pow.f64 (-.f64 y z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 z y) y) (/.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 z y) y) (neg.f64 x)) |
(*.f64 (*.f64 (/.f64 (-.f64 z y) y) x) #s(literal -1 binary64)) |
(*.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x) (pow.f64 (*.f64 (-.f64 y z) y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (pow.f64 (*.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 x y) (-.f64 y z)) |
(*.f64 (-.f64 y z) (/.f64 x y)) |
(*.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 x y))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 z y) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 y z) x)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 x y))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) z x)) |
(*.f64 (-.f64 z y) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (pow.f64 (-.f64 z y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (-.f64 y z) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 z y) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 z y) y) x)) |
(*.f64 (*.f64 (-.f64 z y) x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 x) (/.f64 (-.f64 z y) y)) |
(*.f64 (fma.f64 (/.f64 x y) z x) #s(literal 1 binary64)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 (*.f64 (-.f64 y z) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(pow.f64 (*.f64 (/.f64 (/.f64 y x) (-.f64 y z)) (/.f64 (/.f64 y x) (-.f64 y z))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (/.f64 x y) z x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (-.f64 y z) (*.f64 (/.f64 x y) (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)) (*.f64 (/.f64 x y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (-.f64 y z) y) (*.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)) y) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 y x) (-.f64 y z)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (/.f64 x y) z x) #s(literal 1 binary64)) |
(/.f64 (/.f64 (/.f64 x y) (pow.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal -1 binary64))) (-.f64 y z)) |
(/.f64 (/.f64 (/.f64 x y) (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64))) (fma.f64 z (-.f64 z y) (*.f64 y y))) |
(/.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (pow.f64 (-.f64 y z) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y)) (-.f64 y z)) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y)) (fma.f64 z (-.f64 z y) (*.f64 y y))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 (-.f64 z y) y)) x) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 z y) y)) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) y) x) (-.f64 y z)) |
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) x) (fma.f64 z (-.f64 z y) (*.f64 y y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x) (/.f64 (-.f64 y z) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) x) (fma.f64 (/.f64 z y) (/.f64 (-.f64 y z) y) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (-.f64 y z) y) x) (*.f64 y y)) |
(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x) (pow.f64 y #s(literal -1 binary64))) (-.f64 y z)) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (pow.f64 y #s(literal -1 binary64))) (fma.f64 z (-.f64 z y) (*.f64 y y))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (/.f64 x y)) (-.f64 z y)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 x y)) (neg.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) (-.f64 y z)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (fma.f64 z (-.f64 z y) (*.f64 y y))) |
(/.f64 (*.f64 (/.f64 (-.f64 z y) y) (neg.f64 (*.f64 x x))) x) |
(/.f64 (*.f64 (/.f64 (-.f64 z y) y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 x y) (neg.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) (-.f64 z y)) |
(/.f64 (*.f64 (/.f64 x y) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) (-.f64 y z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (fma.f64 z (-.f64 z y) (*.f64 y y))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (-.f64 z y)) |
(/.f64 (*.f64 (*.f64 (-.f64 y z) x) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 z y) y) x) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (-.f64 z y) y) x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 x y) z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 z y) y) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z y) y) x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (-.f64 z y) y) x))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)) (*.f64 x (*.f64 (/.f64 x y) z))))) |
(/.f64 (/.f64 (*.f64 (-.f64 z y) x) #s(literal -1 binary64)) y) |
(/.f64 (/.f64 x (/.f64 y (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) (-.f64 y z)) |
(/.f64 (/.f64 x (/.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (fma.f64 z (-.f64 z y) (*.f64 y y))) |
(/.f64 (/.f64 x (pow.f64 (-.f64 z y) #s(literal -1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) (-.f64 z y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (/.f64 (-.f64 y z) y)) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) (/.f64 (-.f64 y z) y) #s(literal 1 binary64)))) |
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(fma.f64 (/.f64 x y) y (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
(fma.f64 (/.f64 x y) y (*.f64 (/.f64 x y) z)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 z x) x) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 y x) (*.f64 (*.f64 (/.f64 x y) z) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 y x) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 y x) (*.f64 (/.f64 x y) z)) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(fma.f64 (/.f64 z y) x x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (/.f64 x y) z) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 x y) z)) |
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 x) y) (*.f64 (*.f64 (/.f64 x y) z) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 x) y) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 x) y) (*.f64 (/.f64 x y) z)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 y) x) (*.f64 (*.f64 (/.f64 x y) z) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 y) x) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 y) x) (*.f64 (/.f64 x y) z)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 z x) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) y) y) (*.f64 (*.f64 (/.f64 x y) z) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) y) y) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) y) y) (*.f64 (/.f64 x y) z)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) z) x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (*.f64 (/.f64 x y) z) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (/.f64 x y) z)) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) z) x) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) y) (*.f64 (*.f64 (/.f64 x y) z) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) y) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) y) (*.f64 (/.f64 x y) z)) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 x y) z) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (/.f64 x y) z)) |
(fma.f64 (*.f64 y x) (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 x y) z) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y x) (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
(fma.f64 (*.f64 y x) (pow.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 x y) z)) |
(fma.f64 z (/.f64 (neg.f64 x) y) x) |
(fma.f64 z (/.f64 x y) x) |
(fma.f64 y (/.f64 x y) (*.f64 (*.f64 (/.f64 x y) z) #s(literal 1 binary64))) |
(fma.f64 y (/.f64 x y) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
(fma.f64 y (/.f64 x y) (*.f64 (/.f64 x y) z)) |
(fma.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) y) (*.f64 (*.f64 (/.f64 x y) z) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) y) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
(fma.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) y) (*.f64 (/.f64 x y) z)) |
(fma.f64 x (/.f64 z y) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x y) z) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 x y) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (/.f64 (-.f64 z y) y) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (-.f64 z y) y) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) (-.f64 y z))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) (*.f64 (/.f64 x y) z)) |
(+.f64 (*.f64 (/.f64 (-.f64 z y) y) #s(literal 0 binary64)) (fma.f64 (/.f64 x y) z x)) |
(+.f64 (*.f64 (/.f64 x y) z) x) |
(+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x y) z x)) |
(+.f64 x (*.f64 (*.f64 (/.f64 x y) z) #s(literal 1 binary64))) |
(+.f64 x (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
(+.f64 x (*.f64 (/.f64 x y) z)) |
Compiled 28 941 to 2 712 computations (90.6% saved)
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 004 | 7 | 2 011 |
| Fresh | 2 | 2 | 4 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 010 | 11 | 2 021 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.3% | (fma.f64 (/.f64 z y) (neg.f64 x) x) |
| ▶ | 81.9% | (/.f64 (-.f64 y z) (/.f64 y x)) |
| 51.0% | (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) (*.f64 (+.f64 z y) y)) | |
| ✓ | 85.6% | (/.f64 (*.f64 x (-.f64 y z)) y) |
| ✓ | 38.8% | (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
| 48.4% | (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) | |
| 47.8% | (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) | |
| 2.6% | (*.f64 (/.f64 x y) #s(approx (- y z) z)) | |
| ▶ | 49.1% | (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (- y z)) (*.f64 z x))) |
| ▶ | 50.3% | (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
| ▶ | 45.0% | #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) |
Compiled 149 to 138 computations (7.4% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 384 | (/.f64 (-.f64 y z) (/.f64 y x)) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | #s(approx (* (neg x) (- y z)) (*.f64 z x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 192 | (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (- y z)) (*.f64 z x))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) (/.f64 x y)) | |
| cost-diff | 0 | #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) | |
| cost-diff | 0 | #s(approx (/ (- y z) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | (fma.f64 (/.f64 z y) (neg.f64 x) x) |
| 4 842× | lower-*.f32 |
| 4 834× | lower-*.f64 |
| 4 126× | lower-fma.f32 |
| 4 124× | lower-fma.f64 |
| 1 016× | lower-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 111 |
| 0 | 41 | 111 |
| 1 | 74 | 110 |
| 2 | 141 | 110 |
| 3 | 269 | 108 |
| 4 | 551 | 108 |
| 5 | 1304 | 108 |
| 6 | 3253 | 108 |
| 7 | 4432 | 108 |
| 8 | 5188 | 108 |
| 9 | 5684 | 108 |
| 10 | 5916 | 108 |
| 11 | 6202 | 108 |
| 12 | 6632 | 108 |
| 13 | 7211 | 108 |
| 14 | 7871 | 108 |
| 0 | 8066 | 108 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(/.f64 z y) |
z |
y |
(neg.f64 x) |
x |
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
#s(approx (/ (- y z) y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(neg.f64 z) |
z |
(/.f64 x y) |
x |
y |
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (- y z)) (*.f64 z x))) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
#s(approx (* (neg x) (- y z)) (*.f64 z x)) |
(*.f64 z x) |
z |
x |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(-.f64 y z) |
y |
z |
(/.f64 y x) |
x |
| Outputs |
|---|
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/.f64 z y) |
z |
y |
(neg.f64 x) |
x |
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
#s(approx (/ (- y z) y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) |
#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 x) y) z)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(*.f64 (/.f64 (neg.f64 x) y) z) |
(neg.f64 z) |
z |
(/.f64 x y) |
x |
y |
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (- y z)) (*.f64 z x))) |
(/.f64 #s(approx (* (neg x) (- y z)) (*.f64 x z)) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
#s(approx (* (neg x) (- y z)) (*.f64 z x)) |
#s(approx (* (neg x) (- y z)) (*.f64 x z)) |
(*.f64 z x) |
(*.f64 x z) |
z |
x |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(-.f64 y z) |
y |
z |
(/.f64 y x) |
x |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 11.61081511365174 | (/.f64 (-.f64 y z) (/.f64 y x)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 9.27559107610462 | (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (- y z)) (*.f64 z x))) | |
| accuracy | 29.4638143384592 | #s(approx (* (neg x) (- y z)) (*.f64 z x)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 6.669310718006618 | (*.f64 (neg.f64 z) (/.f64 x y)) | |
| accuracy | 31.04430900417057 | #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) | |
| accuracy | 2.388632620460557 | (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) | |
| accuracy | 31.911610418791142 | #s(approx (/ (- y z) y) #s(literal 1 binary64)) | |
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 2.384726370460557 | (fma.f64 (/.f64 z y) (neg.f64 x) x) |
| 47.0ms | 256× | 0 | valid |
Compiled 95 to 25 computations (73.7% saved)
ival-div: 18.0ms (55.3% of total)ival-mult: 10.0ms (30.7% of total)ival-neg: 2.0ms (6.1% of total)ival-sub: 1.0ms (3.1% of total)ival-add: 1.0ms (3.1% 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 z y) (neg.f64 x) x) (patch (fma.f64 (/.f64 z y) (neg.f64 x) x) #<representation binary64>) () ()) |
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- y z) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y z) y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) (patch #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) (/.f64 x y)) (patch (*.f64 (neg.f64 z) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (- y z)) (*.f64 z x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (- y z)) (*.f64 z x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (* (neg x) (- y z)) (*.f64 z x)) (patch #s(approx (* (neg x) (- y z)) (*.f64 z x)) #<representation binary64>) () ()) |
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 y z) (/.f64 y x)) (patch (/.f64 (-.f64 y z) (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (/.f64 z y) (neg.f64 x) x) (patch (fma.f64 (/.f64 z y) (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z y) (neg.f64 x) x) (patch (fma.f64 (/.f64 z y) (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z y) (neg.f64 x) x) (patch (fma.f64 (/.f64 z y) (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z y) (neg.f64 x) x) (patch (fma.f64 (/.f64 z y) (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (/ (- y z) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y z) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ z y))) (taylor 0 z) (#s(alt #s(approx (/ (- y z) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y z) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ z y))) (taylor 0 z) (#s(alt #s(approx (/ (- y z) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y z) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ z y))) (taylor 0 z) (#s(alt #s(approx (/ (- y z) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y z) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) (patch #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) (patch #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) (patch #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) (patch #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (/.f64 x y)) (patch (*.f64 (neg.f64 z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (/.f64 x y)) (patch (*.f64 (neg.f64 z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (/.f64 x y)) (patch (*.f64 (neg.f64 z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (/.f64 x y)) (patch (*.f64 (neg.f64 z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
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#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ z y)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 z y) (neg.f64 x) x) (patch (fma.f64 (/.f64 z y) (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ z y)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 z y) (neg.f64 x) x) (patch (fma.f64 (/.f64 z y) (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ z y)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 z y) (neg.f64 x) x) (patch (fma.f64 (/.f64 z y) (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ z y)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 z y) (neg.f64 x) x) (patch (fma.f64 (/.f64 z y) (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) (patch #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) (patch #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) (patch #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) (patch #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor inf x) (#s(alt (*.f64 (neg.f64 z) (/.f64 x y)) (patch (*.f64 (neg.f64 z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor inf x) (#s(alt (*.f64 (neg.f64 z) (/.f64 x y)) (patch (*.f64 (neg.f64 z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor inf x) (#s(alt (*.f64 (neg.f64 z) (/.f64 x y)) (patch (*.f64 (neg.f64 z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor inf x) (#s(alt (*.f64 (neg.f64 z) (/.f64 x y)) (patch (*.f64 (neg.f64 z) (/.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 z)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (- y z)) (*.f64 z x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (- y z)) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (- y z)) (*.f64 z x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (- y z)) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (- y z)) (*.f64 z x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (- y z)) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (- y z)) (*.f64 z x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (- y z)) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y z))) (taylor inf x) (#s(alt #s(approx (* (neg x) (- y z)) (*.f64 z x)) (patch #s(approx (* (neg x) (- y z)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y z))) (taylor inf x) (#s(alt #s(approx (* (neg x) (- y z)) (*.f64 z x)) (patch #s(approx (* (neg x) (- y z)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y z))) (taylor inf x) (#s(alt #s(approx (* (neg x) (- y z)) (*.f64 z x)) (patch #s(approx (* (neg x) (- y z)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y z))) (taylor inf x) (#s(alt #s(approx (* (neg x) (- y z)) (*.f64 z x)) (patch #s(approx (* (neg x) (- y z)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (-.f64 y z) (/.f64 y x)) (patch (/.f64 (-.f64 y z) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (-.f64 y z) (/.f64 y x)) (patch (/.f64 (-.f64 y z) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (-.f64 y z) (/.f64 y x)) (patch (/.f64 (-.f64 y z) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (-.f64 y z) (/.f64 y x)) (patch (/.f64 (-.f64 y z) (/.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 (* -1 (* x (- (/ z y) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z y) (neg.f64 x) x) (patch (fma.f64 (/.f64 z y) (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z y) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z y) (neg.f64 x) x) (patch (fma.f64 (/.f64 z y) (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z y) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z y) (neg.f64 x) x) (patch (fma.f64 (/.f64 z y) (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z y) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z y) (neg.f64 x) x) (patch (fma.f64 (/.f64 z y) (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) (patch #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) (patch #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) (patch #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) (patch #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 z) (/.f64 x y)) (patch (*.f64 (neg.f64 z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 z) (/.f64 x y)) (patch (*.f64 (neg.f64 z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 z) (/.f64 x y)) (patch (*.f64 (neg.f64 z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 z) (/.f64 x y)) (patch (*.f64 (neg.f64 z) (/.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 z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (- y z)) (*.f64 z x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (- y z)) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (- y z)) (*.f64 z x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (- y z)) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (- y z)) (*.f64 z x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (- y z)) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (- y z)) (*.f64 z x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (- y z)) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y z))) (taylor -inf x) (#s(alt #s(approx (* (neg x) (- y z)) (*.f64 z x)) (patch #s(approx (* (neg x) (- y z)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y z))) (taylor -inf x) (#s(alt #s(approx (* (neg x) (- y z)) (*.f64 z x)) (patch #s(approx (* (neg x) (- y z)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y z))) (taylor -inf x) (#s(alt #s(approx (* (neg x) (- y z)) (*.f64 z x)) (patch #s(approx (* (neg x) (- y z)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y z))) (taylor -inf x) (#s(alt #s(approx (* (neg x) (- y z)) (*.f64 z x)) (patch #s(approx (* (neg x) (- y z)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (-.f64 y z) (/.f64 y x)) (patch (/.f64 (-.f64 y z) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (-.f64 y z) (/.f64 y x)) (patch (/.f64 (-.f64 y z) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (-.f64 y z) (/.f64 y x)) (patch (/.f64 (-.f64 y z) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (-.f64 y z) (/.f64 y x)) (patch (/.f64 (-.f64 y z) (/.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>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | ((+ (* (/ z y) (neg x)) x) (/ z y) (neg x) (* (/ (- y z) y) x) (/ (- y z) y) (/ (* x (- y z)) y) (* (neg z) (/ x y)) (neg z) (/ x y) (* (/ -1 y) (* (neg x) (- y z))) (/ -1 y) (* (neg x) (- y z)) (* z x) (/ (- y z) (/ y x)) (- y z) (/ y x)) |
| 3.0ms | x | @ | inf | ((+ (* (/ z y) (neg x)) x) (/ z y) (neg x) (* (/ (- y z) y) x) (/ (- y z) y) (/ (* x (- y z)) y) (* (neg z) (/ x y)) (neg z) (/ x y) (* (/ -1 y) (* (neg x) (- y z))) (/ -1 y) (* (neg x) (- y z)) (* z x) (/ (- y z) (/ y x)) (- y z) (/ y x)) |
| 2.0ms | y | @ | 0 | ((+ (* (/ z y) (neg x)) x) (/ z y) (neg x) (* (/ (- y z) y) x) (/ (- y z) y) (/ (* x (- y z)) y) (* (neg z) (/ x y)) (neg z) (/ x y) (* (/ -1 y) (* (neg x) (- y z))) (/ -1 y) (* (neg x) (- y z)) (* z x) (/ (- y z) (/ y x)) (- y z) (/ y x)) |
| 2.0ms | x | @ | -inf | ((+ (* (/ z y) (neg x)) x) (/ z y) (neg x) (* (/ (- y z) y) x) (/ (- y z) y) (/ (* x (- y z)) y) (* (neg z) (/ x y)) (neg z) (/ x y) (* (/ -1 y) (* (neg x) (- y z))) (/ -1 y) (* (neg x) (- y z)) (* z x) (/ (- y z) (/ y x)) (- y z) (/ y x)) |
| 2.0ms | z | @ | -inf | ((+ (* (/ z y) (neg x)) x) (/ z y) (neg x) (* (/ (- y z) y) x) (/ (- y z) y) (/ (* x (- y z)) y) (* (neg z) (/ x y)) (neg z) (/ x y) (* (/ -1 y) (* (neg x) (- y z))) (/ -1 y) (* (neg x) (- y z)) (* z x) (/ (- y z) (/ y x)) (- y z) (/ y x)) |
| 1× | egg-herbie |
| 30 264× | lower-fma.f64 |
| 30 264× | lower-fma.f32 |
| 5 672× | lower-*.f64 |
| 5 672× | lower-*.f32 |
| 3 562× | associate-/r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 2340 |
| 1 | 216 | 2142 |
| 2 | 598 | 2082 |
| 3 | 1587 | 2082 |
| 4 | 2964 | 2082 |
| 5 | 4602 | 2082 |
| 6 | 5120 | 2082 |
| 7 | 5370 | 2082 |
| 8 | 5520 | 2082 |
| 9 | 5622 | 2082 |
| 10 | 5656 | 2082 |
| 11 | 5702 | 2082 |
| 12 | 5807 | 2082 |
| 13 | 5857 | 2082 |
| 14 | 5857 | 2082 |
| 0 | 9307 | 2082 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
1 |
(+ 1 (* -1 (/ z y))) |
(+ 1 (* -1 (/ z y))) |
(+ 1 (* -1 (/ z y))) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* x z)) |
(+ (* -1 (* x y)) (* x z)) |
(+ (* -1 (* x y)) (* x z)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
y |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* -1 (/ z y)) |
(* z (- (/ 1 z) (/ 1 y))) |
(* z (- (/ 1 z) (/ 1 y))) |
(* z (- (/ 1 z) (/ 1 y))) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* x z) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* -1 z) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* -1 (/ (* x z) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(* -1 (/ (* x z) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (/ z y)) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(* -1 (/ (* x z) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (/ (* x z) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (/ (* x y) z)))) |
(* -1 (* z (+ (* -1 x) (/ (* x y) z)))) |
(* -1 (* z (+ (* -1 x) (/ (* x y) z)))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* -1 (/ (* x z) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(* -1 (/ z y)) |
(/ (+ y (* -1 z)) y) |
(/ (+ y (* -1 z)) y) |
(/ (+ y (* -1 z)) y) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(* x z) |
(+ (* -1 (* x y)) (* x z)) |
(+ (* -1 (* x y)) (* x z)) |
(+ (* -1 (* x y)) (* x z)) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(* -1 z) |
(- y z) |
(- y z) |
(- y z) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
1 |
(+ 1 (* -1 (/ z y))) |
(+ 1 (* -1 (/ z y))) |
(+ 1 (* -1 (/ z y))) |
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(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ (* x z) y))) |
(* y (+ (* -1 x) (/ (* x z) y))) |
(* y (+ (* -1 x) (/ (* x z) y))) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
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x |
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(+ x (* -1 (/ (* x z) y))) |
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(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
x |
(+ x (* -1 (/ (* x z) y))) |
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(+ x (* -1 (/ (* x z) y))) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(* -1 (* x y)) |
(* -1 (* y (+ x (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ x (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ x (* -1 (/ (* x z) y))))) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
y |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
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(* x (+ 1 (* -1 (/ z y)))) |
(* x (+ 1 (* -1 (/ z y)))) |
(* x (+ 1 (* -1 (/ z y)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
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(/ (* x (- y z)) y) |
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(* -1 (* x (- y z))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* x (+ 1 (* -1 (/ z y)))) |
(* x (+ 1 (* -1 (/ z y)))) |
(* x (+ 1 (* -1 (/ z y)))) |
(* x (+ 1 (* -1 (/ z y)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(* -1 (* x (- y z))) |
(* -1 (* x (- y z))) |
(* -1 (* x (- y z))) |
(* -1 (* x (- y z))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* -1 (* x (- (/ z y) 1))) |
(* -1 (* x (- (/ z y) 1))) |
(* -1 (* x (- (/ z y) 1))) |
(* -1 (* x (- (/ z y) 1))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(* -1 (* x (- y z))) |
(* -1 (* x (- y z))) |
(* -1 (* x (- y z))) |
(* -1 (* x (- y z))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
| Outputs |
|---|
x |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ z y))) |
(/.f64 (-.f64 y z) y) |
(+ 1 (* -1 (/ z y))) |
(/.f64 (-.f64 y z) y) |
(+ 1 (* -1 (/ z y))) |
(/.f64 (-.f64 y z) y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
x |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(+ (* -1 (* x y)) (* x z)) |
(*.f64 (-.f64 z y) x) |
(+ (* -1 (* x y)) (* x z)) |
(*.f64 (-.f64 z y) x) |
(+ (* -1 (* x y)) (* x z)) |
(*.f64 (-.f64 z y) x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
x |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+ x (* -1 (/ (* x z) y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
y |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
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(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 z) |
(neg.f64 z) |
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(neg.f64 z) |
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(* -1 z) |
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(*.f64 (neg.f64 x) (/.f64 z y)) |
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(* z (+ (* -1 (/ x y)) (/ x z))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* x z) |
(*.f64 z x) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 z y) x) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 z y) x) |
(* z (+ x (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 z y) x) |
(* x z) |
(*.f64 z x) |
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(* x z) |
(*.f64 z x) |
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(* z (+ (* -1 (/ x y)) (/ x z))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(/.f64 (-.f64 y z) y) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(/.f64 (-.f64 y z) y) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(/.f64 (-.f64 y z) y) |
(* -1 (/ (* x z) y)) |
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(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
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(-.f64 x (/.f64 (*.f64 z x) y)) |
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(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
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| 6 040× | lower-fma.f32 |
| 6 038× | lower-fma.f64 |
| 4 896× | lower-*.f32 |
| 4 888× | lower-*.f64 |
| 3 848× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 96 |
| 0 | 41 | 96 |
| 1 | 132 | 95 |
| 2 | 819 | 93 |
| 0 | 8372 | 93 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(/.f64 z y) |
(neg.f64 x) |
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
#s(approx (/ (- y z) y) #s(literal 1 binary64)) |
#s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(neg.f64 z) |
(/.f64 x y) |
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (- y z)) (*.f64 z x))) |
(/.f64 #s(literal -1 binary64) y) |
#s(approx (* (neg x) (- y z)) (*.f64 z x)) |
(*.f64 z x) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(-.f64 y z) |
(/.f64 y x) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) y) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (*.f64 z (-.f64 z y)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) y) (fma.f64 (neg.f64 z) z (*.f64 y y))) (-.f64 y z)) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 x y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y z) z) #s(literal 2 binary64)))) (-.f64 (*.f64 y (-.f64 y z)) (*.f64 z z))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 x y)) (+.f64 (pow.f64 (*.f64 (+.f64 y z) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y z) z) (-.f64 (*.f64 (+.f64 y z) z) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (/.f64 (/.f64 (-.f64 y z) y) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))) (-.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 (neg.f64 x) (/.f64 z y) x) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 z) y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (/.f64 x y) z x) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (/.f64 x y) z x) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x y) z x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 z) y) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (/.f64 x y) z x) x) (-.f64 (*.f64 (fma.f64 (/.f64 x y) z x) x) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 (neg.f64 z) y) x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) (/.f64 z y) x)) |
(*.f64 (*.f64 (*.f64 (-.f64 z y) x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 z y) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 z y) x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 z y)) (/.f64 (neg.f64 x) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) (neg.f64 x)) |
(*.f64 (pow.f64 (/.f64 (/.f64 y (-.f64 y z)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y (-.f64 y z)) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (-.f64 y z) y) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 x (/.f64 y (fma.f64 (neg.f64 z) z (*.f64 y y)))) (pow.f64 (+.f64 y z) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (/.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (fma.f64 (+.f64 y z) y (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 y z) (/.f64 y x)) (/.f64 (-.f64 y z) (+.f64 y z))) |
(*.f64 (/.f64 (fma.f64 (+.f64 y z) y (*.f64 z z)) (/.f64 y x)) (/.f64 (-.f64 y z) (fma.f64 (+.f64 y z) y (*.f64 z z)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 (neg.f64 z) z (*.f64 y y)))) (/.f64 (neg.f64 x) (+.f64 y z))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (/.f64 (neg.f64 x) (fma.f64 (+.f64 y z) y (*.f64 z z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (neg.f64 z) z (*.f64 y y)))) (/.f64 x (+.f64 y z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (/.f64 x (fma.f64 (+.f64 y z) y (*.f64 z z)))) |
(*.f64 (/.f64 y (/.f64 y (fma.f64 (neg.f64 z) z (*.f64 y y)))) (/.f64 (/.f64 x y) (+.f64 y z))) |
(*.f64 (/.f64 y (/.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (/.f64 (/.f64 x y) (fma.f64 (+.f64 y z) y (*.f64 z z)))) |
(*.f64 (/.f64 (-.f64 z y) #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 (+.f64 y z) #s(literal -1 binary64)) (neg.f64 y))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (pow.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 y z) #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 y z) #s(literal -1 binary64)) (/.f64 y x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 (fma.f64 (+.f64 y z) y (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 y))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (+.f64 y z) y (*.f64 z z)) #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (+.f64 y z) y (*.f64 z z)) #s(literal -1 binary64)) (/.f64 y x))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 y z) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (neg.f64 y)) (/.f64 (pow.f64 (+.f64 y z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 y)) (/.f64 (pow.f64 (fma.f64 (+.f64 y z) y (*.f64 z z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (-.f64 y z) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (-.f64 y z) (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 z y) y)) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x)) #s(literal -1 binary64)) (pow.f64 (+.f64 y z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 y z) y (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) y) (/.f64 (pow.f64 (+.f64 y z) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (/.f64 (pow.f64 (fma.f64 (+.f64 y z) y (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) y) (pow.f64 (+.f64 y z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 x y)) (pow.f64 (fma.f64 (+.f64 y z) y (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 z y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (-.f64 z y) y) (neg.f64 x)) |
(*.f64 (*.f64 (/.f64 (-.f64 z y) y) x) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) z x)) (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (/.f64 x y) z x) x (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) y) (-.f64 z y)) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) z x))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (/.f64 x y) z x) x (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (+.f64 y z) (*.f64 (-.f64 z y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (neg.f64 y)))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) y))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 y z) y (*.f64 z z)) (neg.f64 y)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 y z) y (*.f64 z z)) y))) |
(*.f64 (fma.f64 (/.f64 y x) y (*.f64 (/.f64 y (neg.f64 x)) z)) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (+.f64 y z) (/.f64 (-.f64 y z) (*.f64 (+.f64 y z) (/.f64 y x)))) |
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 (neg.f64 x) (*.f64 (+.f64 y z) (neg.f64 y)))) |
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (*.f64 (+.f64 y z) y))) |
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (*.f64 (pow.f64 (+.f64 y z) #s(literal -1 binary64)) (/.f64 x y))) |
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (/.f64 y x)))) |
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 (/.f64 x y) (+.f64 y z))) |
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 (pow.f64 (+.f64 y z) #s(literal -1 binary64)) (/.f64 y x))) |
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) z x))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (-.f64 y z) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 y z) x)) |
(*.f64 (fma.f64 (+.f64 y z) y (*.f64 z z)) (/.f64 (-.f64 y z) (*.f64 (fma.f64 (+.f64 y z) y (*.f64 z z)) (/.f64 y x)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (neg.f64 x) (*.f64 (fma.f64 (+.f64 y z) y (*.f64 z z)) (neg.f64 y)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 x (*.f64 (fma.f64 (+.f64 y z) y (*.f64 z z)) y))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 y z) y (*.f64 z z)) #s(literal -1 binary64)) (/.f64 x y))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 y z) y (*.f64 z z)) (/.f64 y x)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (/.f64 x y) (fma.f64 (+.f64 y z) y (*.f64 z z)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (+.f64 y z) y (*.f64 z z)) #s(literal -1 binary64)) (/.f64 y x))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 x y) z x) x (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 z y) x) (fma.f64 (fma.f64 (/.f64 x y) z x) x (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 x y) z x) x (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z y) x) (pow.f64 (fma.f64 (fma.f64 (/.f64 x y) z x) x (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (/.f64 x y) z x) x (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 z y) (/.f64 (neg.f64 x) y)) |
(*.f64 (*.f64 (-.f64 z y) x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 y z) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 z y) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (/.f64 y (-.f64 y z)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) y) (-.f64 y z))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 z y) y) x)) |
(*.f64 (/.f64 x y) (-.f64 y z)) |
(*.f64 (*.f64 (-.f64 y z) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (/.f64 z y) x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 (-.f64 y z) (/.f64 x y)) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 z y) x) (/.f64 (neg.f64 (fma.f64 (/.f64 x y) z x)) (neg.f64 (fma.f64 (/.f64 x y) z x)))) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 z y) x) (*.f64 (neg.f64 (fma.f64 (/.f64 x y) z x)) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) z x)))) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 z y) x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 y z))) |
(*.f64 (neg.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 z y))) |
(*.f64 (neg.f64 x) (/.f64 (-.f64 z y) y)) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 y (/.f64 (/.f64 x y) (/.f64 y (-.f64 y z)))) |
(pow.f64 (/.f64 (/.f64 y (-.f64 y z)) x) #s(literal -1 binary64)) |
(/.f64 (/.f64 (fma.f64 (/.f64 y x) y (*.f64 (/.f64 y (neg.f64 x)) z)) (/.f64 y x)) (/.f64 y x)) |
(/.f64 (/.f64 (*.f64 (-.f64 z y) x) #s(literal -1 binary64)) y) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x))) (+.f64 y z)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (fma.f64 (+.f64 y z) y (*.f64 z z))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (/.f64 (neg.f64 x) y)) (+.f64 y z)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (neg.f64 x) y)) (fma.f64 (+.f64 y z) y (*.f64 z z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal -2 binary64))) x) (+.f64 #s(literal 1 binary64) (/.f64 z y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal -3 binary64))) x) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 z y) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 y (-.f64 z y)) x) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (fma.f64 (/.f64 y z) y (neg.f64 y)) x) (*.f64 (/.f64 y z) y)) |
(/.f64 (*.f64 (*.f64 y (-.f64 y z)) x) (*.f64 y y)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (/.f64 x y)) (neg.f64 (+.f64 y z))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 x y)) (neg.f64 (fma.f64 (+.f64 y z) y (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (-.f64 z y) y)) x) |
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(fma.f64 (/.f64 (*.f64 y y) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (*.f64 z (-.f64 z y))) (neg.f64 (*.f64 z (/.f64 z (+.f64 y z))))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (neg.f64 z) z (*.f64 y y))) (-.f64 y z) (neg.f64 (*.f64 z (/.f64 z (+.f64 y z))))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y z) z) #s(literal 2 binary64)))) (-.f64 (*.f64 y (-.f64 y z)) (*.f64 z z)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 y z) y (*.f64 z z))))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 y z) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y z) z) (-.f64 (*.f64 (+.f64 y z) z) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 y z) y (*.f64 z z))))) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (+.f64 y z) y (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 y z) y (*.f64 z z))))) |
(fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 z #s(literal -1 binary64)) y) |
(fma.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z z)) y) |
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 y z) y (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 y z) y (*.f64 z z))))) |
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 y z) #s(literal -1 binary64)) (neg.f64 (*.f64 z (/.f64 z (+.f64 y z))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 y z) y (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 y z) y (*.f64 z z))))) |
(fma.f64 (neg.f64 y) #s(literal -1 binary64) (neg.f64 z)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (neg.f64 z)) |
(fma.f64 #s(literal -1 binary64) z y) |
(fma.f64 (neg.f64 z) #s(literal 1 binary64) y) |
(fma.f64 #s(literal 1 binary64) (neg.f64 z) y) |
(fma.f64 #s(literal 1 binary64) y (neg.f64 z)) |
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 y z) y (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 y z) y (*.f64 z z))))) |
(fma.f64 y (/.f64 y (+.f64 y z)) (neg.f64 (*.f64 z (/.f64 z (+.f64 y z))))) |
(fma.f64 y #s(literal 1 binary64) (neg.f64 z)) |
(fma.f64 z #s(literal -1 binary64) y) |
(-.f64 (/.f64 (*.f64 y (/.f64 y (+.f64 y z))) #s(literal 1 binary64)) (/.f64 (*.f64 z (/.f64 z (+.f64 y z))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y z) y (*.f64 z z))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 y z) y (*.f64 z z))) #s(literal 1 binary64))) |
(-.f64 (*.f64 y (/.f64 y (+.f64 y z))) (*.f64 z (/.f64 z (+.f64 y z)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y z) y (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 y z) y (*.f64 z z)))) |
(-.f64 #s(literal 0 binary64) (-.f64 z y)) |
(-.f64 y z) |
(+.f64 (*.f64 y (/.f64 y (+.f64 y z))) (neg.f64 (*.f64 z (/.f64 z (+.f64 y z))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y z) y (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 y z) y (*.f64 z z))))) |
(+.f64 #s(literal 0 binary64) (-.f64 y z)) |
(+.f64 (neg.f64 z) y) |
(+.f64 y (neg.f64 z)) |
(*.f64 (/.f64 (neg.f64 y) (*.f64 (neg.f64 x) x)) x) |
(*.f64 (/.f64 (neg.f64 y) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 x x)) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) y) |
(*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 y x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 y x)) |
(*.f64 y (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (/.f64 y x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 y x) |
(neg.f64 (/.f64 (/.f64 y (neg.f64 x)) #s(literal 1 binary64))) |
(neg.f64 (/.f64 y (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 y (neg.f64 x))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))) |
Compiled 22 166 to 1 973 computations (91.1% saved)
11 alts after pruning (5 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 540 | 2 | 1 542 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 542 | 11 | 1 553 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.4% | (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) |
| ✓ | 96.3% | (fma.f64 (/.f64 z y) (neg.f64 x) x) |
| ✓ | 85.6% | (/.f64 (*.f64 x (-.f64 y z)) y) |
| ▶ | 45.1% | (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) |
| ✓ | 38.8% | (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
| ▶ | 48.4% | (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) |
| ▶ | 47.8% | (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
| ▶ | 2.6% | (*.f64 (/.f64 x y) #s(approx (- y z) z)) |
| ✓ | 49.1% | (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (- y z)) (*.f64 z x))) |
| ✓ | 50.3% | (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
| ✓ | 45.0% | #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) |
Compiled 119 to 113 computations (5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (- y z) (neg.f64 z)) | |
| cost-diff | 384 | (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (- y z) (neg.f64 z)) | |
| cost-diff | 0 | (/.f64 y #s(approx (- y z) (neg.f64 z))) | |
| cost-diff | 384 | (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (- y z) (neg.f64 z)) | |
| cost-diff | 0 | (/.f64 #s(approx (- y z) (neg.f64 z)) y) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) | |
| cost-diff | 0 | #s(approx (- y z) z) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) #s(approx (- y z) z)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) z) | |
| cost-diff | 0 | (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) | |
| cost-diff | 896 | (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) |
| 5 296× | lower-fma.f32 |
| 5 294× | lower-fma.f64 |
| 4 738× | lower-*.f32 |
| 4 730× | lower-*.f64 |
| 1 874× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 141 |
| 0 | 37 | 141 |
| 1 | 72 | 137 |
| 2 | 200 | 129 |
| 3 | 1016 | 129 |
| 4 | 2233 | 129 |
| 5 | 3793 | 129 |
| 6 | 4859 | 129 |
| 7 | 5475 | 129 |
| 8 | 5779 | 129 |
| 9 | 6103 | 129 |
| 10 | 6506 | 129 |
| 0 | 8482 | 129 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) |
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
(neg.f64 x) |
x |
(*.f64 (/.f64 x y) #s(approx (- y z) z)) |
(/.f64 x y) |
x |
y |
#s(approx (- y z) z) |
z |
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
(/.f64 #s(approx (- y z) (neg.f64 z)) y) |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 z) |
z |
y |
x |
(/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) |
x |
(/.f64 y #s(approx (- y z) (neg.f64 z))) |
y |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 z) |
z |
(/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 z) |
z |
(/.f64 y x) |
y |
x |
| Outputs |
|---|
(fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) x) |
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) |
(/.f64 z y) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
(neg.f64 x) |
x |
(*.f64 (/.f64 x y) #s(approx (- y z) z)) |
(*.f64 (/.f64 #s(approx (- y z) z) y) x) |
(/.f64 x y) |
x |
y |
#s(approx (- y z) z) |
z |
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) |
(/.f64 #s(approx (- y z) (neg.f64 z)) y) |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 z) |
z |
y |
x |
(/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) |
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) |
x |
(/.f64 y #s(approx (- y z) (neg.f64 z))) |
y |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 z) |
z |
(/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) |
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 z) |
z |
(/.f64 y x) |
y |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 11.61081511365174 | (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) | |
| accuracy | 31.436932581907627 | #s(approx (- y z) (neg.f64 z)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.0078125 | (/.f64 y #s(approx (- y z) (neg.f64 z))) | |
| accuracy | 1.9964702983617175 | (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) | |
| accuracy | 31.436932581907627 | #s(approx (- y z) (neg.f64 z)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (- y z) (neg.f64 z)) y) | |
| accuracy | 2.388632620460557 | (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) | |
| accuracy | 31.436932581907627 | #s(approx (- y z) (neg.f64 z)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 11.71313702567283 | (*.f64 (/.f64 x y) #s(approx (- y z) z)) | |
| accuracy | 62.634621438024794 | #s(approx (- y z) z) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 2.384726370460557 | (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) | |
| accuracy | 21.388032218619927 | (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) |
| 82.0ms | 256× | 0 | valid |
Compiled 116 to 22 computations (81% saved)
ival-div: 11.0ms (45.3% of total)ival-mult: 7.0ms (28.8% of total)ival-neg: 3.0ms (12.4% of total)ival-sub: 1.0ms (4.1% of total)ival-add: 1.0ms (4.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (patch (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) (patch (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x y) #s(approx (- y z) z)) (patch (*.f64 (/.f64 x y) #s(approx (- y z) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (- y z) z) (patch #s(approx (- y z) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) (patch (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- y z) (neg.f64 z)) y) (patch (/.f64 #s(approx (- y z) (neg.f64 z)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) (patch (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y #s(approx (- y z) (neg.f64 z))) (patch (/.f64 y #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) (patch (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (patch (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (patch (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (patch (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (patch (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) (patch (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) (patch (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) (patch (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) (patch (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
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#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 z)) y) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) (patch (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) (patch (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) (patch (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) (patch (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) (patch (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) (patch (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) (patch (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) (patch (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) (patch (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) (patch (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) (patch (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) (patch (/.f64 #s(approx (- y z) (neg.f64 z)) (/.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 (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ z y)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) (patch (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ z y)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) (patch (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ z y)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) (patch (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ z y)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) (patch (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 x y) #s(approx (- y z) z)) (patch (*.f64 (/.f64 x y) #s(approx (- y z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 x y) #s(approx (- y z) z)) (patch (*.f64 (/.f64 x y) #s(approx (- y z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 x y) #s(approx (- y z) z)) (patch (*.f64 (/.f64 x y) #s(approx (- y z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 x y) #s(approx (- y z) z)) (patch (*.f64 (/.f64 x y) #s(approx (- y z) z)) #<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 z)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) (patch (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) (patch (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) (patch (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) (patch (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) (patch (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) (patch (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) (patch (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) (patch (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) (patch (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) (patch (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) (patch (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) (patch (/.f64 #s(approx (- y z) (neg.f64 z)) (/.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 (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z y) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) (patch (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z y) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) (patch (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z y) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) (patch (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z y) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) (patch (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) #s(approx (- y z) z)) (patch (*.f64 (/.f64 x y) #s(approx (- y z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) #s(approx (- y z) z)) (patch (*.f64 (/.f64 x y) #s(approx (- y z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) #s(approx (- y z) z)) (patch (*.f64 (/.f64 x y) #s(approx (- y z) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) #s(approx (- y z) z)) (patch (*.f64 (/.f64 x y) #s(approx (- y z) z)) #<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 z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) (patch (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) (patch (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) (patch (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) (patch (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) (patch (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) (patch (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) (patch (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) (patch (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) (patch (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) (patch (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) (patch (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) (patch (/.f64 #s(approx (- y z) (neg.f64 z)) (/.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 (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | z | @ | inf | ((/ (* (neg z) z) (* (neg y) z)) (+ (* (/ (* (neg z) z) (* (neg y) z)) (neg x)) x) (* (neg z) z) (neg z) (* (/ x y) (- y z)) (/ x y) (- y z) (* (/ (- y z) y) x) (/ (- y z) y) (- y z) (/ x (/ y (- y z))) (/ y (- y z)) (/ (- y z) (/ y x)) (/ y x) (neg x) (neg y)) |
| 1.0ms | z | @ | -inf | ((/ (* (neg z) z) (* (neg y) z)) (+ (* (/ (* (neg z) z) (* (neg y) z)) (neg x)) x) (* (neg z) z) (neg z) (* (/ x y) (- y z)) (/ x y) (- y z) (* (/ (- y z) y) x) (/ (- y z) y) (- y z) (/ x (/ y (- y z))) (/ y (- y z)) (/ (- y z) (/ y x)) (/ y x) (neg x) (neg y)) |
| 1.0ms | x | @ | -inf | ((/ (* (neg z) z) (* (neg y) z)) (+ (* (/ (* (neg z) z) (* (neg y) z)) (neg x)) x) (* (neg z) z) (neg z) (* (/ x y) (- y z)) (/ x y) (- y z) (* (/ (- y z) y) x) (/ (- y z) y) (- y z) (/ x (/ y (- y z))) (/ y (- y z)) (/ (- y z) (/ y x)) (/ y x) (neg x) (neg y)) |
| 1.0ms | z | @ | 0 | ((/ (* (neg z) z) (* (neg y) z)) (+ (* (/ (* (neg z) z) (* (neg y) z)) (neg x)) x) (* (neg z) z) (neg z) (* (/ x y) (- y z)) (/ x y) (- y z) (* (/ (- y z) y) x) (/ (- y z) y) (- y z) (/ x (/ y (- y z))) (/ y (- y z)) (/ (- y z) (/ y x)) (/ y x) (neg x) (neg y)) |
| 1.0ms | y | @ | -inf | ((/ (* (neg z) z) (* (neg y) z)) (+ (* (/ (* (neg z) z) (* (neg y) z)) (neg x)) x) (* (neg z) z) (neg z) (* (/ x y) (- y z)) (/ x y) (- y z) (* (/ (- y z) y) x) (/ (- y z) y) (- y z) (/ x (/ y (- y z))) (/ y (- y z)) (/ (- y z) (/ y x)) (/ y x) (neg x) (neg y)) |
| 1× | egg-herbie |
| 10 538× | lower-fma.f64 |
| 10 538× | lower-fma.f32 |
| 3 782× | lower-*.f64 |
| 3 782× | lower-*.f32 |
| 2 060× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 156 | 2191 |
| 1 | 445 | 2013 |
| 2 | 1192 | 1986 |
| 3 | 4001 | 1973 |
| 0 | 8288 | 1960 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
y |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
1 |
(+ 1 (* -1 (/ z y))) |
(+ 1 (* -1 (/ z y))) |
(+ 1 (* -1 (/ z y))) |
y |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
1 |
(+ 1 (/ z y)) |
(+ 1 (* z (+ (/ 1 y) (/ z (pow y 2))))) |
(+ 1 (* z (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y)))) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* -1 z) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* -1 (/ z y)) |
(* z (- (/ 1 z) (/ 1 y))) |
(* z (- (/ 1 z) (/ 1 y))) |
(* z (- (/ 1 z) (/ 1 y))) |
(* -1 z) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* -1 (/ y z)) |
(/ (+ (* -1 y) (* -1 (/ (pow y 2) z))) z) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow z 2)))) (/ (pow y 2) z)) z) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow z 3)))) (+ (/ (pow y 2) z) (/ (pow y 3) (pow z 2)))) z) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(* -1 (/ (* x z) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (/ (* x z) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (/ (* x z) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (/ z y)) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (/ (* x z) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (/ y z)) |
(* -1 (/ (+ y (/ (pow y 2) z)) z)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z))) z)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (* -1 (pow y 3))) z)) (pow y 2)) z))) z)) |
(* -1 (/ (* x z) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -1 z) |
(- y z) |
(- y z) |
(- y z) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(* -1 (/ z y)) |
(/ (+ y (* -1 z)) y) |
(/ (+ y (* -1 z)) y) |
(/ (+ y (* -1 z)) y) |
(* -1 z) |
(- y z) |
(- y z) |
(- y z) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(* -1 (/ y z)) |
(* y (- (* -1 (/ y (pow z 2))) (/ 1 z))) |
(* y (- (* y (- (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))) |
(* y (- (* y (- (* y (- (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
1 |
(+ 1 (* -1 (/ z y))) |
(+ 1 (* -1 (/ z y))) |
(+ 1 (* -1 (/ z y))) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
1 |
(+ 1 (/ z y)) |
(- (+ 1 (/ (pow z 2) (pow y 2))) (* -1 (/ z y))) |
(- (+ 1 (/ (pow z 3) (pow y 3))) (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (pow y 2))))) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
y |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
1 |
(+ 1 (* -1 (/ z y))) |
(+ 1 (* -1 (/ z y))) |
(+ 1 (* -1 (/ z y))) |
y |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
1 |
(+ 1 (/ z y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (* -1 (pow z 2))) y)) z) y))) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* x (+ 1 (* -1 (/ z y)))) |
(* x (+ 1 (* -1 (/ z y)))) |
(* x (+ 1 (* -1 (/ z y)))) |
(* x (+ 1 (* -1 (/ z y)))) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* x (+ 1 (* -1 (/ z y)))) |
(* x (+ 1 (* -1 (/ z y)))) |
(* x (+ 1 (* -1 (/ z y)))) |
(* x (+ 1 (* -1 (/ z y)))) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 (* x (- (/ z y) 1))) |
(* -1 (* x (- (/ z y) 1))) |
(* -1 (* x (- (/ z y) 1))) |
(* -1 (* x (- (/ z y) 1))) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
x |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
y |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
x |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ z y))) |
(/.f64 (-.f64 y z) y) |
(+ 1 (* -1 (/ z y))) |
(/.f64 (-.f64 y z) y) |
(+ 1 (* -1 (/ z y))) |
(/.f64 (-.f64 y z) y) |
y |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(+ y (* -1 z)) |
(-.f64 y z) |
x |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ z y)) |
(-.f64 (/.f64 z y) #s(literal -1 binary64)) |
(+ 1 (* z (+ (/ 1 y) (/ z (pow y 2))))) |
(fma.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 z y) #s(literal 1 binary64)) |
(+ 1 (* z (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (fma.f64 (/.f64 z y) (/.f64 z y) #s(literal 1 binary64))) |
x |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* z (- (/ 1 z) (/ 1 y))) |
(/.f64 (-.f64 y z) y) |
(* z (- (/ 1 z) (/ 1 y))) |
(/.f64 (-.f64 y z) y) |
(* z (- (/ 1 z) (/ 1 y))) |
(/.f64 (-.f64 y z) y) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* z (- (/ y z) 1)) |
(-.f64 y z) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(/ (+ (* -1 y) (* -1 (/ (pow y 2) z))) z) |
(*.f64 (/.f64 y z) (-.f64 #s(literal -1 binary64) (/.f64 y z))) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow z 2)))) (/ (pow y 2) z)) z) |
(/.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) y y) y) (neg.f64 z)) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow z 3)))) (+ (/ (pow y 2) z) (/ (pow y 3) (pow z 2)))) z) |
(/.f64 (+.f64 (/.f64 (fma.f64 y y (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (pow.f64 y #s(literal 3 binary64))) z)) z) y) (neg.f64 z)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(/.f64 (-.f64 y z) y) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(/.f64 (-.f64 y z) y) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(/.f64 (-.f64 y z) y) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(-.f64 y z) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(* -1 (/ (+ y (/ (pow y 2) z)) z)) |
(*.f64 (/.f64 y z) (-.f64 #s(literal -1 binary64) (/.f64 y z))) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z))) z)) |
(/.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) y y) y) (neg.f64 z)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (* -1 (pow y 3))) z)) (pow y 2)) z))) z)) |
(/.f64 (+.f64 (/.f64 (fma.f64 y y (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (pow.f64 y #s(literal 3 binary64))) z)) z) y) (neg.f64 z)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* -1 z) |
(neg.f64 z) |
(- y z) |
(-.f64 y z) |
(- y z) |
(-.f64 y z) |
(- y z) |
(-.f64 y z) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(/ (+ y (* -1 z)) y) |
(/.f64 (-.f64 y z) y) |
(/ (+ y (* -1 z)) y) |
(/.f64 (-.f64 y z) y) |
(/ (+ y (* -1 z)) y) |
(/.f64 (-.f64 y z) y) |
(* -1 z) |
(neg.f64 z) |
(- y z) |
(-.f64 y z) |
(- y z) |
(-.f64 y z) |
(- y z) |
(-.f64 y z) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(* y (- (* -1 (/ y (pow z 2))) (/ 1 z))) |
(*.f64 (/.f64 y z) (-.f64 #s(literal -1 binary64) (/.f64 y z))) |
(* y (- (* y (- (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))) |
(/.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) y y) y) (neg.f64 z)) |
(* y (- (* y (- (* y (- (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 y (pow.f64 z #s(literal 4 binary64)))) y (/.f64 (/.f64 #s(literal -1 binary64) z) z)) y (/.f64 #s(literal -1 binary64) z)) y) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
x |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ z y))) |
(/.f64 (-.f64 y z) y) |
(+ 1 (* -1 (/ z y))) |
(/.f64 (-.f64 y z) y) |
(+ 1 (* -1 (/ z y))) |
(/.f64 (-.f64 y z) y) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
x |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ z y)) |
(-.f64 (/.f64 z y) #s(literal -1 binary64)) |
(- (+ 1 (/ (pow z 2) (pow y 2))) (* -1 (/ z y))) |
(fma.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 z y) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow z 3) (pow y 3))) (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (pow y 2))))) |
(*.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (fma.f64 (/.f64 z y) (/.f64 z y) #s(literal 1 binary64))) |
x |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
y |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
x |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ z y))) |
(/.f64 (-.f64 y z) y) |
(+ 1 (* -1 (/ z y))) |
(/.f64 (-.f64 y z) y) |
(+ 1 (* -1 (/ z y))) |
(/.f64 (-.f64 y z) y) |
y |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
(* -1 (* y (- (/ z y) 1))) |
(-.f64 y z) |
x |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ z y)) |
(-.f64 (/.f64 z y) #s(literal -1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) y))) |
(fma.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 z y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (* -1 (pow z 2))) y)) z) y))) |
(*.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (fma.f64 (/.f64 z y) (/.f64 z y) #s(literal 1 binary64))) |
x |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(+ x (* -1 (/ (* x z) y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* x (+ 1 (* -1 (/ z y)))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* x (+ 1 (* -1 (/ z y)))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* x (+ 1 (* -1 (/ z y)))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* x (+ 1 (* -1 (/ z y)))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* x (+ 1 (* -1 (/ z y)))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* x (+ 1 (* -1 (/ z y)))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* x (+ 1 (* -1 (/ z y)))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* x (+ 1 (* -1 (/ z y)))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- (/ z y) 1))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (* x (- (/ z y) 1))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (* x (- (/ z y) 1))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(* -1 (* x (- (/ z y) 1))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ (* x (- y z)) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
| 6 380× | lower-fma.f32 |
| 6 378× | lower-fma.f64 |
| 5 026× | lower-*.f32 |
| 5 018× | lower-*.f64 |
| 3 388× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 104 |
| 0 | 37 | 104 |
| 1 | 128 | 95 |
| 2 | 866 | 92 |
| 0 | 8221 | 92 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) |
(fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
(*.f64 (/.f64 x y) #s(approx (- y z) z)) |
(/.f64 x y) |
#s(approx (- y z) z) |
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
(/.f64 #s(approx (- y z) (neg.f64 z)) y) |
#s(approx (- y z) (neg.f64 z)) |
(/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) |
(/.f64 y #s(approx (- y z) (neg.f64 z))) |
(/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) |
(/.f64 y x) |
(neg.f64 x) |
(neg.f64 y) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (/.f64 (neg.f64 z) y) z) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 z z)) |
(*.f64 (/.f64 (*.f64 (/.f64 (neg.f64 z) y) z) (*.f64 (neg.f64 z) z)) z) |
(*.f64 (/.f64 (neg.f64 z) (neg.f64 (*.f64 y y))) y) |
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(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) y) |
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)) (*.f64 y y)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x))) (/.f64 (neg.f64 y) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) x) (*.f64 (neg.f64 x) (/.f64 x y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) y)) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 y y)) (*.f64 (neg.f64 x) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (*.f64 (neg.f64 x) (*.f64 y y))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) |
(/.f64 (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 y x) |
(neg.f64 (/.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 y) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64) (/.f64 y x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) (/.f64 y x)) |
(+.f64 #s(literal 0 binary64) (/.f64 y x)) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) x) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (neg.f64 x) x) x) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 (*.f64 x x) (neg.f64 x)) |
(neg.f64 x) |
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(+.f64 (neg.f64 x) #s(literal 0 binary64)) |
(*.f64 (neg.f64 (*.f64 y y)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 (*.f64 (neg.f64 y) z) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (neg.f64 y) #s(literal 1 binary64)) |
(*.f64 y #s(literal -1 binary64)) |
(*.f64 (neg.f64 z) (/.f64 y z)) |
(*.f64 z (/.f64 (neg.f64 y) z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (neg.f64 y))) y) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 #s(literal 0 binary64) (neg.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 y y))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (*.f64 y y))) |
(/.f64 (neg.f64 (*.f64 y y)) y) |
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (neg.f64 (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (*.f64 y z) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 y) z) z) |
(neg.f64 y) |
(fma.f64 (neg.f64 (*.f64 y y)) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 y) z) (pow.f64 z #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 z) (/.f64 y z) #s(literal 0 binary64)) |
(fma.f64 z (/.f64 (neg.f64 y) z) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))) |
(-.f64 (/.f64 #s(literal 0 binary64) z) y) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) y)) |
(-.f64 #s(literal 0 binary64) y) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
(+.f64 (neg.f64 y) #s(literal 0 binary64)) |
Compiled 16 993 to 1 953 computations (88.5% saved)
11 alts after pruning (1 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 443 | 1 | 1 444 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 444 | 11 | 1 455 |
| Status | Accuracy | Program |
|---|---|---|
| 73.4% | (fma.f64 (/.f64 (*.f64 z z) (*.f64 y z)) (neg.f64 x) x) | |
| ✓ | 96.3% | (fma.f64 (/.f64 z y) (neg.f64 x) x) |
| ✓ | 85.6% | (/.f64 (*.f64 x (-.f64 y z)) y) |
| ✓ | 45.1% | (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) |
| ✓ | 38.8% | (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
| ✓ | 48.4% | (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) |
| ✓ | 47.8% | (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
| ✓ | 2.6% | (*.f64 (/.f64 x y) #s(approx (- y z) z)) |
| ✓ | 49.1% | (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (- y z)) (*.f64 z x))) |
| ✓ | 50.3% | (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
| ✓ | 45.0% | #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) |
Compiled 234 to 135 computations (42.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 x y) #s(approx (- y z) z)) |
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
#s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) |
#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x)) |
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) |
(*.f64 (/.f64 x y) (-.f64 y z)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/.f64 (*.f64 x (-.f64 y z)) y) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (- y z)) (*.f64 z x))) |
(/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) |
(/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) |
(/.f64 x (/.f64 y (-.f64 y z))) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (-.f64 y z))) |
(fma.f64 (/.f64 (*.f64 z z) (*.f64 y z)) (neg.f64 x) x) |
(fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) z)) (neg.f64 x) x) |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x) (*.f64 (+.f64 z y) y)) |
| Outputs |
|---|
(/.f64 x (/.f64 y (-.f64 y z))) |
4 calls:
| 8.0ms | y |
| 6.0ms | z |
| 6.0ms | x |
| 6.0ms | (/.f64 (*.f64 x (-.f64 y z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 1 | x |
| 96.9% | 1 | y |
| 96.9% | 1 | z |
| 96.9% | 1 | (/.f64 (*.f64 x (-.f64 y z)) y) |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 x y) #s(approx (- y z) z)) |
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
#s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) |
#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x)) |
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) |
(*.f64 (/.f64 x y) (-.f64 y z)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/.f64 (*.f64 x (-.f64 y z)) y) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (- y z)) (*.f64 z x))) |
(/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) |
(/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x)) |
| Outputs |
|---|
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
4 calls:
| 6.0ms | z |
| 5.0ms | x |
| 5.0ms | y |
| 4.0ms | (/.f64 (*.f64 x (-.f64 y z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.3% | 1 | y |
| 96.3% | 1 | z |
| 96.3% | 1 | (/.f64 (*.f64 x (-.f64 y z)) y) |
| 96.3% | 1 | x |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 x y) #s(approx (- y z) z)) |
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
#s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) |
#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x)) |
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) |
(*.f64 (/.f64 x y) (-.f64 y z)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/.f64 (*.f64 x (-.f64 y z)) y) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 y z) y) x) |
4 calls:
| 5.0ms | y |
| 4.0ms | x |
| 4.0ms | z |
| 3.0ms | (/.f64 (*.f64 x (-.f64 y z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.3% | 1 | y |
| 96.3% | 1 | x |
| 96.3% | 1 | z |
| 96.3% | 1 | (/.f64 (*.f64 x (-.f64 y z)) y) |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 x y) #s(approx (- y z) z)) |
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
#s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) |
#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x)) |
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) |
(*.f64 (/.f64 x y) (-.f64 y z)) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) |
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 x y) (-.f64 y z)) |
4 calls:
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | z |
| 3.0ms | (/.f64 (*.f64 x (-.f64 y z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.9% | 3 | y |
| 85.8% | 3 | x |
| 81.7% | 1 | z |
| 94.0% | 3 | (/.f64 (*.f64 x (-.f64 y z)) y) |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 x y) #s(approx (- y z) z)) |
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
#s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) |
#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x)) |
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) |
| Outputs |
|---|
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) |
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
4 calls:
| 6.0ms | (/.f64 (*.f64 x (-.f64 y z)) y) |
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.8% | 3 | z |
| 64.3% | 6 | x |
| 76.5% | 3 | y |
| 74.2% | 2 | (/.f64 (*.f64 x (-.f64 y z)) y) |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 x y) #s(approx (- y z) z)) |
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
#s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) |
#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x)) |
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
| Outputs |
|---|
#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x)) |
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
#s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) |
3 calls:
| 3.0ms | y |
| 3.0ms | z |
| 2.0ms | (/.f64 (*.f64 x (-.f64 y z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.5% | 2 | (/.f64 (*.f64 x (-.f64 y z)) y) |
| 75.3% | 3 | z |
| 74.2% | 3 | y |
Compiled 9 to 12 computations (-33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 x y) #s(approx (- y z) z)) |
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
#s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) |
| Outputs |
|---|
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
#s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) |
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
3 calls:
| 6.0ms | z |
| 2.0ms | y |
| 2.0ms | (/.f64 (*.f64 x (-.f64 y z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.2% | 3 | y |
| 70.9% | 2 | (/.f64 (*.f64 x (-.f64 y z)) y) |
| 73.4% | 3 | z |
Compiled 9 to 12 computations (-33.3% saved)
Total -30.6b remaining (-96.2%)
Threshold costs -30.6b (-96.2%)
| Inputs |
|---|
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 x y) #s(approx (- y z) z)) |
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
| Outputs |
|---|
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
4 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | (/.f64 (*.f64 x (-.f64 y z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.3% | 1 | x |
| 50.3% | 1 | (/.f64 (*.f64 x (-.f64 y z)) y) |
| 50.3% | 1 | z |
| 50.3% | 1 | y |
Compiled 10 to 15 computations (-50% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.7817976960368115e-81 | 1.8210923925003015e-76 |
| 0.0ms | -7.254491003996742e-222 | 0.0 |
Compiled 10 to 12 computations (-20% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 1.0893104285267788e+23 | 1.0146066455426676e+31 |
| 13.0ms | -3.917688214413654e-107 | -7.123904313250062e-112 |
| 11.0ms | 272× | 0 | valid |
Compiled 197 to 267 computations (-35.5% saved)
ival-div: 2.0ms (37.2% of total)ival-mult: 2.0ms (37.2% of total)ival-sub: 1.0ms (18.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 8.963721875124009e+36 | 4.4237785781380836e+41 |
| 10.0ms | -2.4381525534387897e+78 | -1.5366534316973255e+75 |
| 14.0ms | 256× | 0 | valid |
Compiled 186 to 252 computations (-35.5% saved)
ival-div: 2.0ms (39.1% of total)ival-mult: 2.0ms (39.1% of total)ival-sub: 1.0ms (19.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.0893104285267788e+23 | 1.0146066455426676e+31 |
| 8.0ms | -3.917688214413654e-107 | -7.123904313250062e-112 |
| 4.0ms | 96× | 0 | valid |
Compiled 197 to 267 computations (-35.5% saved)
ival-sub: 1.0ms (50.1% of total)ival-div: 1.0ms (50.1% of total)ival-mult: 1.0ms (50.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 32× | *-commutative-binary64-*.f64 |
| 16× | neg-sub0-binary64--.f64-neg.f64 |
| 16× | +-commutative-binary64-+.f64 |
| 16× | neg-mul-1-binary64-*.f64-neg.f64 |
| 16× | sub-neg-binary64-neg.f64-+.f64--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 197 |
| 1 | 72 | 197 |
| 2 | 91 | 197 |
| 3 | 111 | 197 |
| 4 | 119 | 197 |
| 5 | 122 | 197 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (/.f64 y (-.f64 y z))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) #s(literal -8139666055761541/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056 binary64)) (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) #s(literal 5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (*.f64 (/.f64 x y) (-.f64 y z)))) |
(if (<=.f64 y #s(literal -3140015851753681/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 649999999999999962251264 binary64)) (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x))) |
(if (<=.f64 z #s(literal -5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) #s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x)) (if (<=.f64 z #s(literal 9999999999999999538762658202121142272 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))))) |
(if (<=.f64 y #s(literal -3305279843951243/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 649999999999999962251264 binary64)) #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x))) |
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
| Outputs |
|---|
(/.f64 x (/.f64 y (-.f64 y z))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) #s(literal -8139666055761541/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056 binary64)) (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) #s(literal 5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (*.f64 (/.f64 x y) (-.f64 y z)))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 y z) x) y) #s(literal -8139666055761541/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056 binary64)) (/.f64 (*.f64 #s(approx (- y z) (neg.f64 z)) x) y) (if (<=.f64 (/.f64 (*.f64 (-.f64 y z) x) y) #s(literal 5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (*.f64 (/.f64 x y) (-.f64 y z)))) |
(if (<=.f64 y #s(literal -3140015851753681/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 649999999999999962251264 binary64)) (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x))) |
(if (<=.f64 y #s(literal -3140015851753681/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 649999999999999962251264 binary64)) (/.f64 (*.f64 #s(approx (- y z) (neg.f64 z)) x) y) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x))) |
(if (<=.f64 z #s(literal -5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) #s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x)) (if (<=.f64 z #s(literal 9999999999999999538762658202121142272 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))))) |
(if (<=.f64 z #s(literal -5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) #s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x)) (if (<=.f64 z #s(literal 9999999999999999538762658202121142272 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 x) y) z)))) |
(if (<=.f64 y #s(literal -3305279843951243/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 649999999999999962251264 binary64)) #s(approx (/ (* x (- y z)) y) (*.f64 (neg.f64 z) (/.f64 x y))) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x))) |
(if (<=.f64 y #s(literal -3305279843951243/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 649999999999999962251264 binary64)) #s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 x) y) z)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x))) |
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
| 7 438× | lower-fma.f64 |
| 7 438× | lower-fma.f32 |
| 5 414× | lower-/.f32 |
| 5 412× | lower-/.f64 |
| 4 046× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 585 |
| 1 | 174 | 465 |
| 2 | 493 | 465 |
| 3 | 1303 | 465 |
| 4 | 2739 | 465 |
| 5 | 4443 | 465 |
| 6 | 5818 | 465 |
| 7 | 6239 | 465 |
| 8 | 6355 | 465 |
| 9 | 6423 | 465 |
| 10 | 7298 | 465 |
| 11 | 7590 | 465 |
| 0 | 8001 | 465 |
| 0 | 22 | 97 |
| 0 | 37 | 94 |
| 1 | 106 | 94 |
| 2 | 580 | 93 |
| 3 | 6231 | 89 |
| 0 | 8696 | 86 |
| 0 | 169 | 2794 |
| 1 | 499 | 2406 |
| 2 | 1430 | 2319 |
| 3 | 4642 | 2312 |
| 0 | 8431 | 2299 |
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 35 | 15 |
| 2 | 223 | 15 |
| 3 | 2306 | 15 |
| 0 | 9060 | 15 |
| 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× | iter limit |
| 1× | node limit |
Compiled 323 to 193 computations (40.2% saved)
(negabs x)
Compiled 356 to 158 computations (55.6% saved)
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