
Time bar (total: 8.9s)
| 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)
| 963.0ms | 8 256× | 0 | valid |
ival-mult: 542.0ms (79.4% of total)ival-div: 72.0ms (10.6% of total)ival-sub: 59.0ms (8.6% of total)ival-true: 7.0ms (1% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 51 | 0 | - | 1 | (2.2625337618133004e-57 3.7279875401496724e-254 1.7851408336170517e-283) | (/.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 | 41 | 0 |
| ↳ | (*.f64 x (-.f64 y z)) | overflow | 66 | |
/.f64 | (/.f64 (*.f64 x (-.f64 y z)) y) | u/n | 9 | 0 |
| ↳ | (*.f64 x (-.f64 y z)) | underflow | 9 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 50 | 1 |
| - | 0 | 205 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 50 | 0 | 1 |
| - | 0 | 0 | 205 |
| number | freq |
|---|---|
| 0 | 206 |
| 1 | 50 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 23.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-sub: 3.0ms (29.3% of total)ival-div: 3.0ms (29.3% of total)ival-mult: 3.0ms (29.3% 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 |
|---|---|---|
| ▶ | 81.6% | (/.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 | 0.01171875 | (*.f64 x (-.f64 y z)) | |
| accuracy | 11.782198377530701 | (/.f64 (*.f64 x (-.f64 y z)) y) |
| 148.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-div: 2.0ms (40.2% of total)ival-mult: 2.0ms (40.2% of total)ival-sub: 1.0ms (20.1% 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)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 500 | 8 | 508 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 501 | 8 | 509 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.3% | (/.f64 (-.f64 y z) (/.f64 y x)) |
| ▶ | 48.7% | (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) |
| ▶ | 35.9% | (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
| ▶ | 97.0% | (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) |
| 97.0% | (*.f64 (/.f64 (-.f64 y z) y) x) | |
| ▶ | 88.3% | (*.f64 (/.f64 x y) (-.f64 y z)) |
| 95.1% | #s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 z x) y))) | |
| 48.2% | #s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x)) |
Compiled 118 to 108 computations (8.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | (/.f64 (-.f64 y z) (/.f64 y x)) | |
| cost-diff | -384 | (*.f64 (/.f64 x y) (-.f64 y z)) | |
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | (/.f64 x 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 | 128 | (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) | |
| cost-diff | 704 | (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) |
| 3 448× | lower-fma.f64 |
| 3 448× | lower-fma.f32 |
| 2 300× | lower-*.f32 |
| 2 294× | lower-*.f64 |
| 1 514× | lower-/.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 118 |
| 0 | 37 | 124 |
| 1 | 61 | 124 |
| 2 | 118 | 121 |
| 3 | 330 | 115 |
| 4 | 933 | 114 |
| 5 | 3295 | 114 |
| 6 | 6167 | 114 |
| 0 | 8072 | 114 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) |
#s(literal -1 binary64) |
(/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) |
(/.f64 y (-.f64 y z)) |
y |
(-.f64 y z) |
z |
(neg.f64 x) |
x |
(/.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 x y) (-.f64 y z)) |
(/.f64 x y) |
x |
y |
(-.f64 y z) |
z |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(-.f64 y z) |
y |
z |
(/.f64 y x) |
x |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) |
(/.f64 x (/.f64 y (-.f64 y z))) |
#s(literal -1 binary64) |
(/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) |
(/.f64 (/.f64 y x) (-.f64 z y)) |
(/.f64 y (-.f64 y z)) |
y |
(-.f64 y z) |
z |
(neg.f64 x) |
x |
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
(/.f64 #s(approx (* x (- y z)) (*.f64 x y)) y) |
#s(approx (* x (- y z)) (*.f64 y x)) |
#s(approx (* x (- y z)) (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
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 x y) (-.f64 y z)) |
(/.f64 x (/.f64 y (-.f64 y z))) |
(/.f64 x y) |
x |
y |
(-.f64 y z) |
z |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(/.f64 x (/.f64 y (-.f64 y z))) |
(-.f64 y z) |
y |
z |
(/.f64 y x) |
x |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 8.126530398287677 | (/.f64 (-.f64 y z) (/.f64 y x)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 7.4646208081366705 | (*.f64 (/.f64 x y) (-.f64 y z)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.01171875 | (*.f64 x #s(approx (- y z) (neg.f64 z))) | |
| accuracy | 11.782198377530701 | (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) | |
| accuracy | 31.468973224325488 | #s(approx (- y z) (neg.f64 z)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 11.782198377530701 | (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) | |
| accuracy | 29.933182454422486 | #s(approx (* x (- y z)) (*.f64 y x)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.02734375 | (/.f64 y (-.f64 y z)) | |
| accuracy | 0.1796875 | (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) | |
| accuracy | 2.0403547764885435 | (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) |
| 50.0ms | 256× | 0 | valid |
Compiled 103 to 19 computations (81.6% saved)
ival-div: 11.0ms (56.8% of total)ival-mult: 4.0ms (20.7% of total)ival-neg: 2.0ms (10.3% of total)ival-sub: 1.0ms (5.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) (patch (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) #<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 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x y) (-.f64 y z)) (patch (*.f64 (/.f64 x y) (-.f64 y z)) #<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 x) (patch (/.f64 y x) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 z) (#s(alt (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) (patch (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ z (* x y))) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) (patch (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* z (- (* -1 (/ z (* x (pow y 2)))) (/ 1 (* x y)))) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) (patch (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* z (- (* z (- (* -1 (/ z (* x (pow y 3)))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) (patch (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) #<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 x (taylor 0 z) (#s(alt (*.f64 (/.f64 x y) (-.f64 y z)) (patch (*.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (*.f64 (/.f64 x y) (-.f64 y z)) (patch (*.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (*.f64 (/.f64 x y) (-.f64 y z)) (patch (*.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (*.f64 (/.f64 x y) (-.f64 y z)) (patch (*.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (/.f64 (-.f64 y z) (/.f64 y x)) (patch (/.f64 (-.f64 y z) (/.f64 y x)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y (* x (- y z)))) (taylor inf x) (#s(alt (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) (patch (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y (* x (- y z)))) (taylor inf x) (#s(alt (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) (patch (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y (* x (- y z)))) (taylor inf x) (#s(alt (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) (patch (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y (* x (- y z)))) (taylor inf x) (#s(alt (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) (patch (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) #<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) (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 x y) (-.f64 y z)) (patch (*.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 x y) (-.f64 y z)) (patch (*.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 x y) (-.f64 y z)) (patch (*.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 x y) (-.f64 y z)) (patch (*.f64 (/.f64 x y) (-.f64 y z)) #<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) (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(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y (* x (- y z)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) (patch (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y (* x (- y z)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) (patch (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y (* x (- y z)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) (patch (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y (* x (- y z)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) (patch (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) #<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) (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 x y) (-.f64 y z)) (patch (*.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (-.f64 y z)) (patch (*.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (-.f64 y z)) (patch (*.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (-.f64 y z)) (patch (*.f64 (/.f64 x y) (-.f64 y z)) #<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) (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 | |
|---|---|---|---|---|
| 5.0ms | y | @ | inf | ((/ -1 (/ (/ y (- y z)) (neg x))) (/ (/ y (- y z)) (neg x)) (/ 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) (/ x y) (* (/ x y) (- y z)) (/ (- y z) (/ y x)) (/ y x) (neg x)) |
| 2.0ms | x | @ | -inf | ((/ -1 (/ (/ y (- y z)) (neg x))) (/ (/ y (- y z)) (neg x)) (/ 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) (/ x y) (* (/ x y) (- y z)) (/ (- y z) (/ y x)) (/ y x) (neg x)) |
| 2.0ms | z | @ | -inf | ((/ -1 (/ (/ y (- y z)) (neg x))) (/ (/ y (- y z)) (neg x)) (/ 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) (/ x y) (* (/ x y) (- y z)) (/ (- y z) (/ y x)) (/ y x) (neg x)) |
| 2.0ms | y | @ | -inf | ((/ -1 (/ (/ y (- y z)) (neg x))) (/ (/ y (- y z)) (neg x)) (/ 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) (/ x y) (* (/ x y) (- y z)) (/ (- y z) (/ y x)) (/ y x) (neg x)) |
| 2.0ms | x | @ | 0 | ((/ -1 (/ (/ y (- y z)) (neg x))) (/ (/ y (- y z)) (neg x)) (/ 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) (/ x y) (* (/ x y) (- y z)) (/ (- y z) (/ y x)) (/ y x) (neg x)) |
| 1× | egg-herbie |
| 11 530× | lower-fma.f64 |
| 11 530× | lower-fma.f32 |
| 4 672× | lower-*.f64 |
| 4 672× | lower-*.f32 |
| 2 662× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 267 | 3167 |
| 1 | 787 | 2849 |
| 2 | 2251 | 2756 |
| 3 | 7265 | 2752 |
| 0 | 8332 | 2722 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(/ -1 x) |
(- (* -1 (/ z (* x y))) (/ 1 x)) |
(- (* z (- (* -1 (/ z (* x (pow y 2)))) (/ 1 (* x y)))) (/ 1 x)) |
(- (* z (- (* z (- (* -1 (/ z (* x (pow y 3)))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) (/ 1 x)) |
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) |
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 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(/ y (* x z)) |
(/ (+ (/ y x) (/ (pow y 2) (* x z))) z) |
(/ (+ (/ y x) (+ (/ (pow y 2) (* x z)) (/ (pow y 3) (* x (pow z 2))))) z) |
(/ (+ (/ y x) (+ (/ (pow y 2) (* x z)) (+ (/ (pow y 3) (* x (pow z 2))) (/ (pow y 4) (* x (pow z 3)))))) 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 (/ (* 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)) |
(* 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)))) |
(/ y (* x z)) |
(* -1 (/ (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (* x z)))) z)) |
(* -1 (/ (+ (* -1 (/ y x)) (* -1 (/ (+ (/ (pow y 2) x) (/ (pow y 3) (* x z))) z))) z)) |
(* -1 (/ (+ (* -1 (/ y x)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (/ (pow y 4) (* x z)))) z)) (/ (pow y 2) x)) z))) z)) |
(* -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 (/ (* 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 (* 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) |
(/ y (* x z)) |
(* y (+ (/ 1 (* x z)) (/ y (* x (pow z 2))))) |
(* y (+ (* y (+ (/ 1 (* x (pow z 2))) (/ y (* x (pow z 3))))) (/ 1 (* x z)))) |
(* y (+ (* y (+ (* y (+ (/ 1 (* x (pow z 3))) (/ y (* x (pow z 4))))) (/ 1 (* x (pow z 2))))) (/ 1 (* x z)))) |
(* -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) |
(/ 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) 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) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(/ -1 x) |
(- (* -1 (/ z (* x y))) (/ 1 x)) |
(- (* -1 (/ (pow z 2) (* x (pow y 2)))) (+ (/ 1 x) (/ z (* x y)))) |
(- (* -1 (/ (pow z 3) (* x (pow y 3)))) (+ (/ 1 x) (+ (/ z (* x y)) (/ (pow z 2) (* x (pow y 2)))))) |
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)))) |
(/ 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 |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x 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))) |
(/ -1 x) |
(- (* -1 (/ z (* x y))) (/ 1 x)) |
(- (* -1 (/ (- (/ (pow z 2) (* x y)) (* -1 (/ z x))) y)) (/ 1 x)) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x y))) (/ (pow z 2) x)) y)) (* -1 (/ z x))) y)) (/ 1 x)) |
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))) |
(/ 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 |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(* -1 (/ y (* x (- y z)))) |
(* -1 (/ y (* x (- y z)))) |
(* -1 (/ y (* x (- y z)))) |
(* -1 (/ y (* 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) |
(* 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) |
(/ 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) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(* -1 (/ y (* x (- y z)))) |
(* -1 (/ y (* x (- y z)))) |
(* -1 (/ y (* x (- y z)))) |
(* -1 (/ y (* 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) |
(* 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) |
(/ 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) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(/ (* x (- y z)) y) |
(* -1 (/ y (* x (- y z)))) |
(* -1 (/ y (* x (- y z)))) |
(* -1 (/ y (* x (- y z)))) |
(* -1 (/ y (* 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) |
(* 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) |
(/ 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) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
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 x) |
(/.f64 #s(literal -1 binary64) x) |
(- (* -1 (/ z (* x y))) (/ 1 x)) |
(*.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(- (* z (- (* -1 (/ z (* x (pow y 2)))) (/ 1 (* x y)))) (/ 1 x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (/.f64 z x) (-.f64 (/.f64 z y) #s(literal -1 binary64))) y)) |
(- (* z (- (* z (- (* -1 (/ z (* x (pow y 3)))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) (/ 1 x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 (*.f64 (/.f64 z x) (fma.f64 (/.f64 z y) z z)) y) (/.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)))) |
(fma.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 z y) (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #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 (*.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 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 (*.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 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) |
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) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 z (neg.f64 y)) x) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(*.f64 (-.f64 (/.f64 x z) (/.f64 x y)) z) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(*.f64 (-.f64 (/.f64 x z) (/.f64 x y)) z) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(*.f64 (-.f64 (/.f64 x z) (/.f64 x y)) z) |
(/ y (* x z)) |
(/.f64 (/.f64 y z) x) |
(/ (+ (/ y x) (/ (pow y 2) (* x z))) z) |
(/.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y x)) z) |
(/ (+ (/ y x) (+ (/ (pow y 2) (* x z)) (/ (pow y 3) (* x (pow z 2))))) z) |
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 (/.f64 y z) z) (/.f64 y z)) (/.f64 y x)) z) |
(/ (+ (/ y x) (+ (/ (pow y 2) (* x z)) (+ (/ (pow y 3) (* x (pow z 2))) (/ (pow y 4) (* x (pow z 3)))))) z) |
(/.f64 (+.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 (/.f64 y z) z) (/.f64 y z)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 z #s(literal 3 binary64)))) (/.f64 y x)) z) |
(* -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 (-.f64 (/.f64 y z) #s(literal 1 binary64)) z) |
(* z (- (/ y z) 1)) |
(*.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) z) |
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(*.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 |
(+ 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 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) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 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 |
(+ 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) |
(/ (* 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) |
(* -1 (/ y (* x (- y z)))) |
(/.f64 y (*.f64 (-.f64 z y) x)) |
(* -1 (/ y (* x (- y z)))) |
(/.f64 y (*.f64 (-.f64 z y) x)) |
(* -1 (/ y (* x (- y z)))) |
(/.f64 y (*.f64 (-.f64 z y) x)) |
(* -1 (/ y (* x (- y z)))) |
(/.f64 y (*.f64 (-.f64 z y) x)) |
(/ (* 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)) |
(*.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 (*.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)) |
(*.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 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) |
(/ 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 (- 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) |
(* -1 (/ y (* x (- y z)))) |
(/.f64 y (*.f64 (-.f64 z y) x)) |
(* -1 (/ y (* x (- y z)))) |
(/.f64 y (*.f64 (-.f64 z y) x)) |
(* -1 (/ y (* x (- y z)))) |
(/.f64 y (*.f64 (-.f64 z y) x)) |
(* -1 (/ y (* x (- y z)))) |
(/.f64 y (*.f64 (-.f64 z y) x)) |
(/ (* 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)) |
(*.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 (*.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)) |
(*.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 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) |
(/ 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 (- 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) |
(* -1 (/ y (* x (- y z)))) |
(/.f64 y (*.f64 (-.f64 z y) x)) |
(* -1 (/ y (* x (- y z)))) |
(/.f64 y (*.f64 (-.f64 z y) x)) |
(* -1 (/ y (* x (- y z)))) |
(/.f64 y (*.f64 (-.f64 z y) x)) |
(* -1 (/ y (* x (- y z)))) |
(/.f64 y (*.f64 (-.f64 z y) x)) |
(/ (* 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)) |
(*.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 (*.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)) |
(*.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 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) |
(/ 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) |
| 4 398× | lower-*.f32 |
| 4 392× | lower-*.f64 |
| 3 970× | lower-/.f32 |
| 3 954× | lower-/.f64 |
| 2 044× | lower-fma.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 97 |
| 0 | 37 | 103 |
| 1 | 117 | 94 |
| 2 | 722 | 93 |
| 0 | 8432 | 93 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) |
(/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x)) |
(/.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 x y) |
(*.f64 (/.f64 x y) (-.f64 y z)) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(/.f64 y x) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 z y) x x) (-.f64 y z)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z (-.f64 z y) (*.f64 y y))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 z y) x x) (-.f64 y z)) (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 z y) z) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 z 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 (*.f64 (+.f64 z y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z y) z) (-.f64 (*.f64 (+.f64 z y) z) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (/.f64 (/.f64 (-.f64 z y) y) #s(literal 1 binary64)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 z y)) (/.f64 (neg.f64 x) y)) |
(*.f64 (*.f64 (*.f64 x (-.f64 y z)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (*.f64 x (-.f64 y z))) |
(*.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 z y) #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (/.f64 (-.f64 y z) y) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (/.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 y z) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 z y) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (+.f64 z y) (/.f64 y x)) (/.f64 (-.f64 y z) (+.f64 z y))) |
(*.f64 (/.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (/.f64 y x)) (/.f64 (-.f64 y z) (fma.f64 (+.f64 z y) z (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (neg.f64 z) z (*.f64 y y)))) (/.f64 x (+.f64 z y))) |
(*.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 z y) z (*.f64 y y)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (pow.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (neg.f64 y))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (/.f64 y x))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (neg.f64 y)) (/.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) y) (/.f64 (pow.f64 (+.f64 z y) #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))) (pow.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) y)) |
(*.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 z y) z (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 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 z y) z (*.f64 y y)) #s(literal -1 binary64)) (/.f64 y 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 z y) z (*.f64 y y)) #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))) y) (/.f64 (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 (neg.f64 z) z (*.f64 y y)))) (/.f64 (neg.f64 x) (+.f64 z y))) |
(*.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 z y) z (*.f64 y y)))) |
(*.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 (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 (/.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 (*.f64 (fma.f64 (/.f64 z y) x x) (-.f64 y z)) (pow.f64 (+.f64 z y) #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 z y) z (*.f64 y y)) #s(literal -1 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 z y) x x))) |
(*.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) (fma.f64 (*.f64 (/.f64 x y) z) (fma.f64 (/.f64 z y) x x) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (pow.f64 (-.f64 z y) #s(literal -1 binary64)))) |
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(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 x x)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) x) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 x x)) x) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (neg.f64 x) #s(literal 1 binary64)) |
(/.f64 x #s(literal -1 binary64)) |
(neg.f64 x) |
(fma.f64 (neg.f64 (*.f64 x x)) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x 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)) |
(fma.f64 #s(literal -1 binary64) x #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 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x)) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(+.f64 (neg.f64 x) #s(literal 0 binary64)) |
Compiled 33 740 to 2 754 computations (91.8% saved)
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 144 | 6 | 2 150 |
| Fresh | 3 | 0 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 150 | 8 | 2 158 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.0% | (fma.f64 (/.f64 (neg.f64 z) y) x x) |
| ▶ | 95.1% | (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) |
| ✓ | 48.7% | (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) |
| ✓ | 35.9% | (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
| 48.4% | (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) | |
| ▶ | 95.1% | (-.f64 x (*.f64 (/.f64 x y) z)) |
| ▶ | 48.2% | (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
| ▶ | 48.7% | (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) |
Compiled 101 to 95 computations (5.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x z) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) z) | |
| cost-diff | 0 | (-.f64 x (*.f64 (/.f64 x y) 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 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (- y z) (neg.f64 z)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (/.f64 (neg.f64 z) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 (neg.f64 z) y) x x) |
| 576× | lower-fma.f32 |
| 572× | lower-fma.f64 |
| 446× | times-frac |
| 432× | lower-*.f32 |
| 424× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 105 |
| 0 | 32 | 104 |
| 1 | 65 | 104 |
| 2 | 111 | 104 |
| 3 | 169 | 104 |
| 4 | 221 | 104 |
| 5 | 394 | 104 |
| 6 | 607 | 104 |
| 7 | 1048 | 104 |
| 8 | 1377 | 104 |
| 9 | 1550 | 104 |
| 10 | 1571 | 104 |
| 11 | 1578 | 104 |
| 12 | 1581 | 104 |
| 13 | 1582 | 104 |
| 0 | 1582 | 104 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (neg.f64 z) y) x x) |
(/.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
x |
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) |
(/.f64 x y) |
x |
y |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 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 (/.f64 x y) z)) |
x |
(*.f64 (/.f64 x y) z) |
(/.f64 x y) |
y |
z |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(*.f64 x z) |
x |
z |
| Outputs |
|---|
(fma.f64 (/.f64 (neg.f64 z) y) x x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) x) |
(/.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
x |
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) |
(*.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (- y z) (neg.f64 z)) |
(neg.f64 z) |
z |
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
(*.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 x y)) |
(/.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 (/.f64 x y) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) x) |
x |
(*.f64 (/.f64 x y) z) |
(/.f64 x y) |
y |
z |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) x) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(*.f64 x z) |
x |
z |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0 | (*.f64 x z) | |
| accuracy | 3.1631713511173327 | (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.01171875 | (-.f64 x (*.f64 (/.f64 x y) z)) | |
| accuracy | 4.363136973850704 | (*.f64 (/.f64 x y) z) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (- y z) (neg.f64 z)) y) | |
| accuracy | 1.9262536750861416 | (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) | |
| accuracy | 31.468973224325488 | #s(approx (- y z) (neg.f64 z)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 7.4646208081366705 | (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) | |
| accuracy | 31.468973224325488 | #s(approx (- y z) (neg.f64 z)) | |
| accuracy | 0 | (/.f64 (neg.f64 z) y) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 1.9184411750861416 | (fma.f64 (/.f64 (neg.f64 z) y) x x) |
| 275.0ms | 256× | 0 | valid |
Compiled 94 to 21 computations (77.7% saved)
ival-sub: 108.0ms (82.3% of total)ival-mult: 11.0ms (8.4% of total)ival-div: 9.0ms (6.9% of total)ival-add: 2.0ms (1.5% of total)ival-neg: 1.0ms (0.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 (neg.f64 z) y) x x) (patch (fma.f64 (/.f64 (neg.f64 z) y) x x) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 z) y) (patch (/.f64 (neg.f64 z) y) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) (patch (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x 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 (/.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 (-.f64 x (*.f64 (/.f64 x y) z)) (patch (-.f64 x (*.f64 (/.f64 x y) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (/.f64 (neg.f64 z) y) x x) (patch (fma.f64 (/.f64 (neg.f64 z) y) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (neg.f64 z) y) x x) (patch (fma.f64 (/.f64 (neg.f64 z) y) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (neg.f64 z) y) x x) (patch (fma.f64 (/.f64 (neg.f64 z) y) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (neg.f64 z) y) x x) (patch (fma.f64 (/.f64 (neg.f64 z) y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ z y)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 z) y) (patch (/.f64 (neg.f64 z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ z y)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 z) y) (patch (/.f64 (neg.f64 z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ z y)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 z) y) (patch (/.f64 (neg.f64 z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ z y)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 z) y) (patch (/.f64 (neg.f64 z) y) #<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 x (taylor 0 z) (#s(alt (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) (patch (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) (patch (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) (patch (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) (patch (*.f64 (/.f64 x y) #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 x (taylor 0 z) (#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 (* -1 (/ (* x z) y))) (taylor 0 z) (#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 (* -1 (/ (* x z) y))) (taylor 0 z) (#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 (* -1 (/ (* x z) y))) (taylor 0 z) (#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 1 (taylor 0 z) (#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 (+ 1 (* -1 (/ z y))) (taylor 0 z) (#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 (+ 1 (* -1 (/ z y))) (taylor 0 z) (#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 (+ 1 (* -1 (/ z y))) (taylor 0 z) (#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 x (taylor 0 z) (#s(alt (-.f64 x (*.f64 (/.f64 x y) z)) (patch (-.f64 x (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (-.f64 x (*.f64 (/.f64 x y) z)) (patch (-.f64 x (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (-.f64 x (*.f64 (/.f64 x y) z)) (patch (-.f64 x (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (-.f64 x (*.f64 (/.f64 x y) z)) (patch (-.f64 x (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 z) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 z) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 z) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 z) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor inf z) (#s(alt (fma.f64 (/.f64 (neg.f64 z) y) x x) (patch (fma.f64 (/.f64 (neg.f64 z) y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (/.f64 (neg.f64 z) y) x x) (patch (fma.f64 (/.f64 (neg.f64 z) y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (/.f64 (neg.f64 z) y) x x) (patch (fma.f64 (/.f64 (neg.f64 z) y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (/.f64 (neg.f64 z) y) x x) (patch (fma.f64 (/.f64 (neg.f64 z) y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ z y)) (taylor inf z) (#s(alt (/.f64 (neg.f64 z) y) (patch (/.f64 (neg.f64 z) y) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | y | @ | inf | ((+ (* (/ (neg z) y) x) x) (/ (neg z) y) (neg z) (* (/ x y) (- y z)) (/ x y) (- y z) (* (/ (- y z) y) x) (/ (- y z) y) (- x (* (/ x y) z)) (* (/ x y) z) (+ (* (/ -1 y) (* x z)) x) (/ -1 y) (* x z)) |
| 4.0ms | z | @ | -inf | ((+ (* (/ (neg z) y) x) x) (/ (neg z) y) (neg z) (* (/ x y) (- y z)) (/ x y) (- y z) (* (/ (- y z) y) x) (/ (- y z) y) (- x (* (/ x y) z)) (* (/ x y) z) (+ (* (/ -1 y) (* x z)) x) (/ -1 y) (* x z)) |
| 2.0ms | y | @ | 0 | ((+ (* (/ (neg z) y) x) x) (/ (neg z) y) (neg z) (* (/ x y) (- y z)) (/ x y) (- y z) (* (/ (- y z) y) x) (/ (- y z) y) (- x (* (/ x y) z)) (* (/ x y) z) (+ (* (/ -1 y) (* x z)) x) (/ -1 y) (* x z)) |
| 2.0ms | x | @ | -inf | ((+ (* (/ (neg z) y) x) x) (/ (neg z) y) (neg z) (* (/ x y) (- y z)) (/ x y) (- y z) (* (/ (- y z) y) x) (/ (- y z) y) (- x (* (/ x y) z)) (* (/ x y) z) (+ (* (/ -1 y) (* x z)) x) (/ -1 y) (* x z)) |
| 2.0ms | z | @ | 0 | ((+ (* (/ (neg z) y) x) x) (/ (neg z) y) (neg z) (* (/ x y) (- y z)) (/ x y) (- y z) (* (/ (- y z) y) x) (/ (- y z) y) (- x (* (/ x y) z)) (* (/ x y) z) (+ (* (/ -1 y) (* x z)) x) (/ -1 y) (* x z)) |
| 1× | egg-herbie |
| 27 104× | lower-fma.f64 |
| 27 104× | lower-fma.f32 |
| 3 376× | lower-*.f64 |
| 3 376× | lower-*.f32 |
| 3 072× | lower-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 1953 |
| 1 | 182 | 1803 |
| 2 | 453 | 1803 |
| 3 | 1117 | 1803 |
| 4 | 2682 | 1803 |
| 5 | 4337 | 1803 |
| 6 | 5564 | 1803 |
| 7 | 5961 | 1803 |
| 8 | 6164 | 1803 |
| 9 | 6280 | 1803 |
| 10 | 6306 | 1803 |
| 11 | 6684 | 1803 |
| 12 | 7004 | 1803 |
| 13 | 7040 | 1803 |
| 14 | 7040 | 1803 |
| 0 | 8324 | 1803 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ 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))) |
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))) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(* 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 y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ 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))) |
(* -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 (/ (* x z) y)) |
(* z (- (/ x z) (/ x y))) |
(* z (- (/ x z) (/ x y))) |
(* z (- (/ x z) (/ x y))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* 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))) |
(* 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 y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ 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)))) |
(* -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 (/ (* x z) y)) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y))))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y))))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y))))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x 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)))) |
(* x z) |
(* x z) |
(* x z) |
(* 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)) |
(* -1 (/ z y)) |
(* -1 (/ z 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 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 (/ (* x z) y)) |
(/ (- (* x y) (* x z)) y) |
(/ (- (* x y) (* x z)) y) |
(/ (- (* x y) (* x z)) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x 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 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ 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))) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) 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) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ 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))) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) 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) |
(* 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 (- 1 (/ z y))) |
(* x (- 1 (/ z y))) |
(* x (- 1 (/ z y))) |
(* x (- 1 (/ z y))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(* x (+ 1 (* -1 (/ z y)))) |
(* x (+ 1 (* -1 (/ z y)))) |
(* x (+ 1 (* -1 (/ z y)))) |
(* x (+ 1 (* -1 (/ z y)))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* 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 (- 1 (/ z y))) |
(* x (- 1 (/ z y))) |
(* x (- 1 (/ z y))) |
(* x (- 1 (/ z y))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(* x (+ 1 (* -1 (/ z y)))) |
(* x (+ 1 (* -1 (/ z y)))) |
(* x (+ 1 (* -1 (/ z y)))) |
(* x (+ 1 (* -1 (/ z y)))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* -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 (+ 1 (* -1 (/ z y)))) |
(* x (+ 1 (* -1 (/ z y)))) |
(* x (+ 1 (* -1 (/ z y)))) |
(* x (+ 1 (* -1 (/ z y)))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(* -1 (* x (- (/ z y) 1))) |
(* -1 (* x (- (/ z y) 1))) |
(* -1 (* x (- (/ z y) 1))) |
(* -1 (* x (- (/ z y) 1))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
| Outputs |
|---|
x |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (/ z y)) |
(/.f64 (neg.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))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
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))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
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))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 (neg.f64 z) x) y) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (/ z y)) |
(/.f64 (neg.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 (*.f64 (neg.f64 z) x) y) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(fma.f64 (/.f64 x y) (neg.f64 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) x) y) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* -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 (*.f64 (neg.f64 z) x) y) |
(* z (- (/ x z) (/ x y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* z (- (/ x z) (/ x y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* z (- (/ x z) (/ x y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 (neg.f64 z) x) y) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 (neg.f64 z) x) y) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (/ z y)) |
(/.f64 (neg.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 (*.f64 (neg.f64 z) x) y) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(fma.f64 (/.f64 x y) (neg.f64 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) x) y) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* -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)) |
(/.f64 (*.f64 (neg.f64 z) x) y) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y))))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y))))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y))))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 (neg.f64 z) x) y) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 (neg.f64 z) x) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 (neg.f64 z) x) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ 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 (*.f64 (neg.f64 z) x) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* -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 (/ (* x z) y)) |
(/.f64 (*.f64 (neg.f64 z) x) y) |
(/ (- (* x y) (* x z)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (- (* x y) (* x z)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (- (* x y) (* x z)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 (neg.f64 z) x) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ 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))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
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))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ 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))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
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))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
x |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(+ x (* -1 (/ (* x z) y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(* x (+ 1 (* -1 (/ z y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x (+ 1 (* -1 (/ z y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x (+ 1 (* -1 (/ z y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x (+ 1 (* -1 (/ z y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x (- y z)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x (- y z)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x (- y z)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x (- y z)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (* x (- y z)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x (- y z)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x (- y z)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x (- y z)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x (- 1 (/ z y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x (- 1 (/ z y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x (- 1 (/ z y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x (- 1 (/ z y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(* x (+ 1 (* -1 (/ z y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x (+ 1 (* -1 (/ z y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x (+ 1 (* -1 (/ z y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x (+ 1 (* -1 (/ z y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x (+ 1 (* -1 (/ z y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x (+ 1 (* -1 (/ z y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x (+ 1 (* -1 (/ z y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x (+ 1 (* -1 (/ z y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x (- y z)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x (- y z)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x (- y z)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x (- y z)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (* x (- y z)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x (- y z)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x (- y z)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x (- y z)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x (- 1 (/ z y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x (- 1 (/ z y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x (- 1 (/ z y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x (- 1 (/ z y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(* x (+ 1 (* -1 (/ z y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x (+ 1 (* -1 (/ z y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x (+ 1 (* -1 (/ z y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x (+ 1 (* -1 (/ z y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* -1 (* x (- (/ z y) 1))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* -1 (* x (- (/ z y) 1))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* -1 (* x (- (/ z y) 1))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* -1 (* x (- (/ z y) 1))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x (- y z)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x (- y z)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x (- y z)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x (- y z)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (* x (- y z)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x (- y z)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x (- y z)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x (- y z)) y) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x (+ 1 (* -1 (/ z y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x (+ 1 (* -1 (/ z y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x (+ 1 (* -1 (/ z y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x (+ 1 (* -1 (/ z y)))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(* -1 (* x (- (/ z y) 1))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* -1 (* x (- (/ z y) 1))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* -1 (* x (- (/ z y) 1))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* -1 (* x (- (/ z y) 1))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
| 9 622× | lower-fma.f32 |
| 9 618× | lower-fma.f64 |
| 4 546× | lower-*.f32 |
| 4 538× | lower-*.f64 |
| 2 688× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 76 |
| 0 | 32 | 75 |
| 1 | 132 | 75 |
| 2 | 904 | 75 |
| 3 | 7158 | 75 |
| 0 | 8230 | 75 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (neg.f64 z) y) x x) |
(/.f64 (neg.f64 z) y) |
(neg.f64 z) |
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) |
(/.f64 x y) |
#s(approx (- y z) (neg.f64 z)) |
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
(/.f64 #s(approx (- y z) (neg.f64 z)) y) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 x y) z) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) |
(/.f64 #s(literal -1 binary64) y) |
(*.f64 x z) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (neg.f64 z) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (neg.f64 z) x)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x)))) |
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))) (neg.f64 (fma.f64 (/.f64 x y) z x)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x))))) |
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))) (fma.f64 (/.f64 x y) z x))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 x y) z) (-.f64 (*.f64 (/.f64 x y) z) x) (*.f64 x x)) (neg.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) z x)))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)))) (fma.f64 (/.f64 x y) (neg.f64 z) x) (neg.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) z x)))) |
(fma.f64 (/.f64 (*.f64 x z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y) x) |
(fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 (/.f64 x y) (neg.f64 z) x) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 x y) z x)))) |
(fma.f64 (/.f64 (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 (/.f64 x y) (neg.f64 z) x) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 x y) z x)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z)) (-.f64 (*.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x))))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 x) z) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 z) y) x) |
(fma.f64 (/.f64 (*.f64 x z) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 x y) x) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 z y) x) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 (*.f64 z z) (neg.f64 (fma.f64 (/.f64 x y) z x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 x y) z x)))) |
(fma.f64 (*.f64 (pow.f64 (/.f64 (neg.f64 y) z) #s(literal -2 binary64)) x) (/.f64 x (neg.f64 (fma.f64 (/.f64 x y) z x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 x y) z x)))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (neg.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (fma.f64 (/.f64 x y) z x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 x y) z x)))) |
(fma.f64 (/.f64 (*.f64 (/.f64 x y) z) y) (/.f64 (*.f64 x z) (neg.f64 (fma.f64 (/.f64 x y) z x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 x y) z x)))) |
(fma.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) z) (/.f64 z (neg.f64 (fma.f64 (/.f64 x y) z x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 x y) z x)))) |
(fma.f64 (pow.f64 (neg.f64 y) #s(literal -2 binary64)) (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 x y) z x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 x y) z x)))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x))))) |
(fma.f64 (pow.f64 (/.f64 (neg.f64 y) z) #s(literal -2 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 x y) z x)) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 x y) z x)))) |
(fma.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (/.f64 (pow.f64 (neg.f64 y) #s(literal -2 binary64)) (neg.f64 (fma.f64 (/.f64 x y) z x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 x y) z x)))) |
(fma.f64 (*.f64 (neg.f64 x) z) (pow.f64 y #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 (*.f64 x (/.f64 (neg.f64 z) y)) z) (neg.f64 (fma.f64 (/.f64 x y) z x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 x y) z x)))) |
(fma.f64 (/.f64 (neg.f64 x) y) z x) |
(fma.f64 (/.f64 z y) (/.f64 x #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (/.f64 #s(literal -1 binary64) z)) x) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 x z) #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 x) z) x) |
(fma.f64 (*.f64 (*.f64 x (/.f64 (neg.f64 z) y)) x) (/.f64 (/.f64 (neg.f64 z) y) (neg.f64 (fma.f64 (/.f64 x y) z x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 x y) z x)))) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (/.f64 (neg.f64 y) z) #s(literal -2 binary64)) (neg.f64 (fma.f64 (/.f64 x y) z x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 x y) z x)))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x))))) |
(fma.f64 (*.f64 x x) (pow.f64 (fma.f64 (/.f64 x y) z x) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) z x)))) |
(fma.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) z x)) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 x y) z x)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x))))) |
(fma.f64 (neg.f64 x) (/.f64 z y) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (neg.f64 z) y)) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (/.f64 (neg.f64 z) y))) |
(fma.f64 (*.f64 x (/.f64 (neg.f64 z) y)) (/.f64 (*.f64 x (/.f64 (neg.f64 z) y)) (neg.f64 (fma.f64 (/.f64 x y) z x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 x y) z x)))) |
(fma.f64 (*.f64 x (/.f64 (neg.f64 z) y)) #s(literal 1 binary64) x) |
(fma.f64 (*.f64 x z) (/.f64 (/.f64 (*.f64 (/.f64 x y) z) y) (neg.f64 (fma.f64 (/.f64 x y) z x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 x y) z x)))) |
(fma.f64 (*.f64 x z) (/.f64 #s(literal -1 binary64) y) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (neg.f64 y)) (neg.f64 (fma.f64 (/.f64 x y) z x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 x y) z x)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 x (/.f64 (neg.f64 z) y))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) z) x) |
(fma.f64 (*.f64 (/.f64 x y) z) #s(literal -1 binary64) x) |
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) x) |
(fma.f64 (/.f64 x y) (/.f64 z #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(fma.f64 x (/.f64 x (fma.f64 (/.f64 x y) z x)) (neg.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) z x)))) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (/.f64 (neg.f64 y) z) #s(literal -2 binary64)) x) (neg.f64 (fma.f64 (/.f64 x y) z x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 x y) z x)))) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x))))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 (neg.f64 z) y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(fma.f64 (/.f64 (neg.f64 z) y) (/.f64 (*.f64 (*.f64 x (/.f64 (neg.f64 z) y)) x) (neg.f64 (fma.f64 (/.f64 x y) z x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 x y) z x)))) |
(fma.f64 (/.f64 (neg.f64 z) y) x x) |
(fma.f64 (neg.f64 z) (/.f64 x y) x) |
(fma.f64 z (/.f64 (neg.f64 x) y) x) |
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 (/.f64 x y) z)) |
(-.f64 (*.f64 x (/.f64 x (fma.f64 (/.f64 x y) z x))) (/.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) z x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 x y) z x))) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 x y) z x))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 x y) z) x)) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(+.f64 (*.f64 x (/.f64 x (fma.f64 (/.f64 x y) z x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) z x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 x y) z) (*.f64 x x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 x y) z x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 x y) z x)))) |
(+.f64 (*.f64 x (/.f64 (neg.f64 z) y)) x) |
(+.f64 x (*.f64 x (/.f64 (neg.f64 z) y))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 y) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (neg.f64 y) #s(literal -1 binary64)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) y) |
(neg.f64 (pow.f64 y #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) z) #s(literal -1 binary64)) |
(*.f64 (neg.f64 x) (neg.f64 z)) |
(*.f64 #s(literal 1 binary64) (*.f64 x z)) |
(*.f64 (*.f64 x z) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) z)) |
(*.f64 x z) |
(*.f64 (neg.f64 z) (neg.f64 x)) |
(*.f64 z x) |
(neg.f64 (*.f64 (neg.f64 x) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) z)) |
Compiled 19 538 to 1 117 computations (94.3% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 190 | 1 | 1 191 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 190 | 9 | 1 199 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 97.0% | (fma.f64 (/.f64 (neg.f64 z) y) x x) |
| ✓ | 95.1% | (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) |
| ✓ | 48.7% | (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) |
| ✓ | 35.9% | (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
| ▶ | 48.4% | (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) |
| ✓ | 95.1% | (-.f64 x (*.f64 (/.f64 x y) z)) |
| ✓ | 48.2% | (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
| ✓ | 48.7% | (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) |
| ▶ | 50.8% | (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
Compiled 61 to 60 computations (1.6% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (/.f64 (/.f64 y z) x) | |
| cost-diff | 0 | #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) | |
| 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) |
| 752× | lower-fma.f64 |
| 752× | lower-fma.f32 |
| 722× | times-frac |
| 624× | lower-*.f32 |
| 622× | lower-*.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 60 |
| 0 | 20 | 60 |
| 1 | 36 | 60 |
| 2 | 66 | 60 |
| 3 | 154 | 60 |
| 4 | 293 | 58 |
| 5 | 445 | 58 |
| 6 | 855 | 58 |
| 7 | 1882 | 58 |
| 8 | 2445 | 58 |
| 9 | 2662 | 58 |
| 10 | 2701 | 58 |
| 11 | 2720 | 58 |
| 12 | 2754 | 58 |
| 13 | 2758 | 58 |
| 0 | 2758 | 58 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.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 |
(/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) |
#s(literal -1 binary64) |
#s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) |
(/.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
| Outputs |
|---|
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
(*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64))) |
#s(approx (/ (- y z) y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
(/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) |
#s(literal -1 binary64) |
#s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) |
(/.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 0.1796875 | (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) | |
| accuracy | 5.381372893274001 | (/.f64 (/.f64 y z) x) | |
| accuracy | 31.42885176098928 | #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) | |
| accuracy | 1.9262536750861416 | (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) | |
| accuracy | 31.72188388142231 | #s(approx (/ (- y z) y) #s(literal 1 binary64)) |
| 24.0ms | 256× | 0 | valid |
Compiled 46 to 16 computations (65.2% saved)
ival-div: 11.0ms (70% of total)ival-mult: 2.0ms (12.7% of total)ival-sub: 1.0ms (6.4% of total)ival-neg: 1.0ms (6.4% 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 #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 (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
| Outputs |
|---|
#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 (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 z) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ z (* x y))) (/ 1 x)) (taylor 0 z) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* z (- (* -1 (/ z (* x (pow y 2)))) (/ 1 (* x y)))) (/ 1 x)) (taylor 0 z) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* z (- (* z (- (* -1 (/ z (* x (pow y 3)))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) (/ 1 x)) (taylor 0 z) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y 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 #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 (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf 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 (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf 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 (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf 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 (/ z y)) (taylor inf 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 (* z (- (/ 1 z) (/ 1 y))) (taylor inf 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 (* z (- (/ 1 z) (/ 1 y))) (taylor inf 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 (* z (- (/ 1 z) (/ 1 y))) (taylor inf 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 (/ (* x z) y)) (taylor inf z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor inf z) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ y x) (/ (pow y 2) (* x z))) z) (taylor inf z) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ y x) (+ (/ (pow y 2) (* x z)) (/ (pow y 3) (* x (pow z 2))))) z) (taylor inf z) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ y x) (+ (/ (pow y 2) (* x z)) (+ (/ (pow y 3) (* x (pow z 2))) (/ (pow y 4) (* x (pow z 3)))))) z) (taylor inf z) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor inf z) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor inf z) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor inf z) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor inf z) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (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 #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 (* z (+ (* -1 (/ x z)) (/ x y)))) (taylor -inf 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 (* z (+ (* -1 (/ x z)) (/ x y)))) (taylor -inf 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 (* z (+ (* -1 (/ x z)) (/ x y)))) (taylor -inf 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 (/ z y)) (taylor -inf 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 (* z (- (/ 1 y) (/ 1 z)))) (taylor -inf 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 (* z (- (/ 1 y) (/ 1 z)))) (taylor -inf 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 (* z (- (/ 1 y) (/ 1 z)))) (taylor -inf 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 (/ (* x z) y)) (taylor -inf z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) (taylor -inf z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) (taylor -inf z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) (taylor -inf z) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor -inf z) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (* x z)))) z)) (taylor -inf z) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ y x)) (* -1 (/ (+ (/ (pow y 2) x) (/ (pow y 3) (* x z))) z))) z)) (taylor -inf z) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ y x)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (/ (pow y 4) (* x z)))) z)) (/ (pow y 2) x)) z))) z)) (taylor -inf z) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor -inf z) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor -inf z) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor -inf z) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor -inf z) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ 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 #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 (* x z)) (* x y)) y) (taylor 0 y) (#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 (* x z)) (* x y)) y) (taylor 0 y) (#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 (* x z)) (* x y)) y) (taylor 0 y) (#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 (/ z y)) (taylor 0 y) (#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 (/ (+ y (* -1 z)) y) (taylor 0 y) (#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 (/ (+ y (* -1 z)) y) (taylor 0 y) (#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 (/ (+ y (* -1 z)) y) (taylor 0 y) (#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 (/ (* x z) y)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x y)) y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* x y)) y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ()) |
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#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(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y (* x (- y z)))) (taylor -inf x) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y (* x (- y z)))) (taylor -inf x) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y (* x (- y z)))) (taylor -inf x) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y (* x (- y z)))) (taylor -inf x) (#s(alt #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) (patch #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 y z) x) (patch (/.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | ((* (/ (- y z) y) x) (/ (- y z) y) (/ -1 (/ (/ y (- y z)) (neg x))) (/ (/ y (- y z)) (neg x)) (/ (/ y z) x) (/ y z)) |
| 1.0ms | y | @ | -inf | ((* (/ (- y z) y) x) (/ (- y z) y) (/ -1 (/ (/ y (- y z)) (neg x))) (/ (/ y (- y z)) (neg x)) (/ (/ y z) x) (/ y z)) |
| 1.0ms | x | @ | -inf | ((* (/ (- y z) y) x) (/ (- y z) y) (/ -1 (/ (/ y (- y z)) (neg x))) (/ (/ y (- y z)) (neg x)) (/ (/ y z) x) (/ y z)) |
| 1.0ms | z | @ | -inf | ((* (/ (- y z) y) x) (/ (- y z) y) (/ -1 (/ (/ y (- y z)) (neg x))) (/ (/ y (- y z)) (neg x)) (/ (/ y z) x) (/ y z)) |
| 1.0ms | y | @ | 0 | ((* (/ (- y z) y) x) (/ (- y z) y) (/ -1 (/ (/ y (- y z)) (neg x))) (/ (/ y (- y z)) (neg x)) (/ (/ y z) x) (/ y z)) |
| 1× | egg-herbie |
| 15 036× | lower-fma.f64 |
| 15 036× | lower-fma.f32 |
| 4 742× | lower-*.f64 |
| 4 742× | lower-*.f32 |
| 2 474× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 1411 |
| 1 | 439 | 1329 |
| 2 | 1264 | 1273 |
| 3 | 3761 | 1249 |
| 0 | 8215 | 1234 |
| 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 (* -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) |
(- (* -1 (/ z (* x y))) (/ 1 x)) |
(- (* z (- (* -1 (/ z (* x (pow y 2)))) (/ 1 (* x y)))) (/ 1 x)) |
(- (* z (- (* z (- (* -1 (/ z (* x (pow y 3)))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) (/ 1 x)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ 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 (/ 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))) |
(/ y (* x z)) |
(/ (+ (/ y x) (/ (pow y 2) (* x z))) z) |
(/ (+ (/ y x) (+ (/ (pow y 2) (* x z)) (/ (pow y 3) (* x (pow z 2))))) z) |
(/ (+ (/ y x) (+ (/ (pow y 2) (* x z)) (+ (/ (pow y 3) (* x (pow z 2))) (/ (pow y 4) (* x (pow z 3)))))) z) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ 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 (/ (* x z) y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(/ y (* x z)) |
(* -1 (/ (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (* x z)))) z)) |
(* -1 (/ (+ (* -1 (/ y x)) (* -1 (/ (+ (/ (pow y 2) x) (/ (pow y 3) (* x z))) z))) z)) |
(* -1 (/ (+ (* -1 (/ y x)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (/ (pow y 4) (* x z)))) z)) (/ (pow y 2) x)) z))) z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y 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 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(/ y (* x z)) |
(* y (+ (/ 1 (* x z)) (/ y (* x (pow z 2))))) |
(* y (+ (* y (+ (/ 1 (* x (pow z 2))) (/ y (* x (pow z 3))))) (/ 1 (* x z)))) |
(* y (+ (* y (+ (* y (+ (/ 1 (* x (pow z 3))) (/ y (* x (pow z 4))))) (/ 1 (* x (pow z 2))))) (/ 1 (* x z)))) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y 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))) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(/ -1 x) |
(- (* -1 (/ z (* x y))) (/ 1 x)) |
(- (* -1 (/ (pow z 2) (* x (pow y 2)))) (+ (/ 1 x) (/ z (* x y)))) |
(- (* -1 (/ (pow z 3) (* x (pow y 3)))) (+ (/ 1 x) (+ (/ z (* x y)) (/ (pow z 2) (* x (pow y 2)))))) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y 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))) |
x |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(+ x (* -1 (/ (* x z) y))) |
(/ -1 x) |
(- (* -1 (/ z (* x y))) (/ 1 x)) |
(- (* -1 (/ (- (/ (pow z 2) (* x y)) (* -1 (/ z x))) y)) (/ 1 x)) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x y))) (/ (pow z 2) x)) y)) (* -1 (/ z x))) y)) (/ 1 x)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* 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 (/ y (* x (- y z)))) |
(* -1 (/ y (* x (- y z)))) |
(* -1 (/ y (* x (- y z)))) |
(* -1 (/ y (* x (- y z)))) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ (* 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 (/ y (* x (- y z)))) |
(* -1 (/ y (* x (- y z)))) |
(* -1 (/ y (* x (- y z)))) |
(* -1 (/ y (* x (- y z)))) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ (* 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 (/ y (* x (- y z)))) |
(* -1 (/ y (* x (- y z)))) |
(* -1 (/ y (* x (- y z)))) |
(* -1 (/ y (* x (- y z)))) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
| Outputs |
|---|
x |
(+ x (* -1 (/ (* x z) y))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(+ x (* -1 (/ (* x z) y))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(+ x (* -1 (/ (* x z) y))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
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 (/.f64 (-.f64 y z) y) x) |
(+ x (* -1 (/ (* x z) y))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(+ x (* -1 (/ (* x z) y))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(- (* -1 (/ z (* x y))) (/ 1 x)) |
(*.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(- (* z (- (* -1 (/ z (* x (pow y 2)))) (/ 1 (* x y)))) (/ 1 x)) |
(neg.f64 (fma.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 (/.f64 z y) x) (/.f64 #s(literal 1 binary64) x))) |
(- (* z (- (* z (- (* -1 (/ z (* x (pow y 3)))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) (/ 1 x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 (/.f64 (/.f64 z y) x) (fma.f64 z (/.f64 z y) z) (/.f64 z x)) y)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(* -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 x) (/.f64 z y)) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(* z (+ (* -1 (/ x y)) (/ x z))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ (+ (/ y x) (/ (pow y 2) (* x z))) z) |
(*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) |
(/ (+ (/ y x) (+ (/ (pow y 2) (* x z)) (/ (pow y 3) (* x (pow z 2))))) z) |
(/.f64 (fma.f64 (/.f64 y (*.f64 z x)) (fma.f64 y (/.f64 y z) y) (/.f64 y x)) z) |
(/ (+ (/ y x) (+ (/ (pow y 2) (* x z)) (+ (/ (pow y 3) (* x (pow z 2))) (/ (pow y 4) (* x (pow z 3)))))) z) |
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 (/.f64 y z) z) y (+.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 z #s(literal 3 binary64)))) z) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(* -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)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(* -1 (/ (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (* x z)))) z)) |
(*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) |
(* -1 (/ (+ (* -1 (/ y x)) (* -1 (/ (+ (/ (pow y 2) x) (/ (pow y 3) (* x z))) z))) z)) |
(/.f64 (+.f64 (/.f64 (*.f64 (/.f64 y x) (fma.f64 (/.f64 y z) y y)) z) (/.f64 y x)) z) |
(* -1 (/ (+ (* -1 (/ y x)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (/ (pow y 4) (* x z)))) z)) (/ (pow y 2) x)) z))) z)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 y x) y (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) z)) z) (/.f64 y x)) z) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(* -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 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ (+ (* -1 (* x z)) (* x y)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(* y (+ (/ 1 (* x z)) (/ y (* x (pow z 2))))) |
(*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y (*.f64 z x))) |
(* y (+ (* y (+ (/ 1 (* x (pow z 2))) (/ y (* x (pow z 3))))) (/ 1 (* x z)))) |
(fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (pow.f64 z #s(literal 3 binary64)))) |
(* y (+ (* y (+ (* y (+ (/ 1 (* x (pow z 3))) (/ y (* x (pow z 4))))) (/ 1 (* x (pow z 2))))) (/ 1 (* x z)))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 (/.f64 y (*.f64 z x)) z) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (pow.f64 z #s(literal 4 binary64)))) y (/.f64 y (*.f64 z x))) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
x |
(+ x (* -1 (/ (* x z) y))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(+ x (* -1 (/ (* x z) y))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(+ x (* -1 (/ (* x z) y))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
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 (/.f64 (-.f64 y z) y) x) |
(+ x (* -1 (/ (* x z) y))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(+ x (* -1 (/ (* x z) y))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(- (* -1 (/ z (* x y))) (/ 1 x)) |
(*.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(- (* -1 (/ (pow z 2) (* x (pow y 2)))) (+ (/ 1 x) (/ z (* x y)))) |
(neg.f64 (fma.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 (/.f64 z y) x) (/.f64 #s(literal 1 binary64) x))) |
(- (* -1 (/ (pow z 3) (* x (pow y 3)))) (+ (/ 1 x) (+ (/ z (* x y)) (/ (pow z 2) (* x (pow y 2)))))) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 (/.f64 (/.f64 z y) x) (fma.f64 z (/.f64 z y) z) (/.f64 z x)) y)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
x |
(+ x (* -1 (/ (* x z) y))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(+ x (* -1 (/ (* x z) y))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(+ x (* -1 (/ (* x z) y))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
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 (/.f64 (-.f64 y z) y) x) |
(+ x (* -1 (/ (* x z) y))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(+ x (* -1 (/ (* x z) y))) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(- (* -1 (/ z (* x y))) (/ 1 x)) |
(*.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(- (* -1 (/ (- (/ (pow z 2) (* x y)) (* -1 (/ z x))) y)) (/ 1 x)) |
(neg.f64 (fma.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 (/.f64 z y) x) (/.f64 #s(literal 1 binary64) x))) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x y))) (/ (pow z 2) x)) y)) (* -1 (/ z x))) y)) (/ 1 x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 (/.f64 (/.f64 z y) x) (fma.f64 z (/.f64 z y) z) (/.f64 z x)) y)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x (- y z)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ (* x (- y z)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ (* x (- y z)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ (* x (- y z)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ (* x (- y z)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ (* x (- y z)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ (* x (- y z)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ (* x (- y z)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(* -1 (/ y (* x (- y z)))) |
(/.f64 (/.f64 y (-.f64 z y)) x) |
(* -1 (/ y (* x (- y z)))) |
(/.f64 (/.f64 y (-.f64 z y)) x) |
(* -1 (/ y (* x (- y z)))) |
(/.f64 (/.f64 y (-.f64 z y)) x) |
(* -1 (/ y (* x (- y z)))) |
(/.f64 (/.f64 y (-.f64 z y)) x) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ (* x (- y z)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ (* x (- y z)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ (* x (- y z)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ (* x (- y z)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ (* x (- y z)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ (* x (- y z)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ (* x (- y z)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ (* x (- y z)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(* -1 (/ y (* x (- y z)))) |
(/.f64 (/.f64 y (-.f64 z y)) x) |
(* -1 (/ y (* x (- y z)))) |
(/.f64 (/.f64 y (-.f64 z y)) x) |
(* -1 (/ y (* x (- y z)))) |
(/.f64 (/.f64 y (-.f64 z y)) x) |
(* -1 (/ y (* x (- y z)))) |
(/.f64 (/.f64 y (-.f64 z y)) x) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ (* x (- y z)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ (* x (- y z)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ (* x (- y z)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ (* x (- y z)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ (* x (- y z)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ (* x (- y z)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ (* x (- y z)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(/ (* x (- y z)) y) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(* -1 (/ y (* x (- y z)))) |
(/.f64 (/.f64 y (-.f64 z y)) x) |
(* -1 (/ y (* x (- y z)))) |
(/.f64 (/.f64 y (-.f64 z y)) x) |
(* -1 (/ y (* x (- y z)))) |
(/.f64 (/.f64 y (-.f64 z y)) x) |
(* -1 (/ y (* x (- y z)))) |
(/.f64 (/.f64 y (-.f64 z y)) x) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
| 3 532× | lower-*.f32 |
| 3 530× | lower-*.f64 |
| 2 330× | lower-/.f32 |
| 2 324× | lower-/.f64 |
| 1 696× | lower-fma.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 54 |
| 0 | 20 | 54 |
| 1 | 83 | 54 |
| 2 | 540 | 52 |
| 3 | 5372 | 52 |
| 0 | 8498 | 52 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
#s(approx (/ (- y z) y) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) |
#s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) |
(/.f64 (/.f64 y z) x) |
(/.f64 y z) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) #s(literal -1 binary64)) x) |
(*.f64 (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(*.f64 #s(literal -1 binary64) (*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64)))) |
(neg.f64 (*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64)))) |
#s(approx (/ (- y z) y) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (neg.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)))) |
(pow.f64 (exp.f64 (log.f64 (neg.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (neg.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) (neg.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (neg.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #s(literal 1 binary64)) |
(/.f64 (pow.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)))) |
(neg.f64 (pow.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #s(literal -1 binary64)) |
(*.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)))) |
(*.f64 #s(literal 1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) |
(pow.f64 (pow.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #s(literal 1 binary64)) |
#s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) |
(/.f64 (neg.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #s(literal -1 binary64)) |
(/.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (neg.f64 y) z) (*.f64 x x)) x) |
(*.f64 (/.f64 (/.f64 (neg.f64 y) z) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 y z) (*.f64 x x)) x) |
(*.f64 (/.f64 (/.f64 y z) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 y z)) |
(*.f64 (*.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 y z) x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 y x)) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 y z) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 x z) #s(literal -1 binary64)) (neg.f64 y)) |
(*.f64 (pow.f64 (*.f64 x z) #s(literal -1 binary64)) y) |
(*.f64 (/.f64 y x) (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 y x) (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 y x) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 y z) x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 y z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) z)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y z)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 y) z) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 y) (pow.f64 (*.f64 x z) #s(literal -1 binary64))) |
(*.f64 (/.f64 y z) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 y z) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) x)) |
(*.f64 y (pow.f64 (*.f64 x z) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (/.f64 z y) x))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (/.f64 z y) x) (*.f64 (/.f64 z y) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 z (/.f64 y x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 z) (/.f64 y x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 y z) x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (/.f64 z y) x) #s(literal -1 binary64)) |
(/.f64 (/.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y x)) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (/.f64 y z) #s(literal -1 binary64)) x) |
(/.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 x z)) |
(/.f64 (pow.f64 (*.f64 x z) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (/.f64 y x) (neg.f64 z)) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 (/.f64 y z) x) #s(literal -1 binary64)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 z) y)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 z y)) |
(/.f64 (/.f64 (neg.f64 y) z) x) |
(/.f64 (neg.f64 y) (*.f64 x z)) |
(/.f64 (/.f64 y z) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (/.f64 y x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)) |
(/.f64 y (*.f64 x z)) |
(neg.f64 (/.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 y z) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x z)) (/.f64 (/.f64 y z) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y z) x)) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z y) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) y) |
(*.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(*.f64 (neg.f64 y) (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 y z) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 y z) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 y z)) |
(*.f64 y (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))) |
(*.f64 y (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 z y))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 z y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y z) #s(literal 1 binary64)) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)) |
(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 (/.f64 y z) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(/.f64 y z) |
(neg.f64 (*.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (/.f64 y z) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (neg.f64 y) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 y) z)) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y z) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z)) |
(exp.f64 (-.f64 (*.f64 (log.f64 z) #s(literal -1 binary64)) (*.f64 (log.f64 y) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64))) |
Compiled 3 195 to 539 computations (83.1% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 318 | 1 | 319 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 7 | 7 |
| Total | 318 | 10 | 328 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 97.0% | (fma.f64 (/.f64 (neg.f64 z) y) x x) |
| ✓ | 95.1% | (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) |
| ✓ | 48.7% | (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) |
| ✓ | 35.9% | (/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
| ✓ | 48.4% | (/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) |
| ✓ | 95.1% | (-.f64 x (*.f64 (/.f64 x y) z)) |
| ✓ | 48.2% | (*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
| ✓ | 48.7% | (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) |
| ✓ | 50.8% | (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
| 2.7% | (neg.f64 (*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64)))) |
Compiled 185 to 116 computations (37.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
(neg.f64 (*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x)) |
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) |
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) |
#s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 z x) y))) |
(*.f64 (/.f64 x y) (-.f64 y z)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 x (-.f64 y z)) y) |
(fma.f64 (/.f64 (neg.f64 z) y) x x) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(/.f64 #s(literal -1 binary64) #s(approx (/ (/ y (- y z)) (neg x)) (/.f64 (/.f64 y z) x))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (neg.f64 x))) |
| Outputs |
|---|
(-.f64 x (*.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
4 calls:
| 7.0ms | (/.f64 (*.f64 x (-.f64 y z)) y) |
| 6.0ms | x |
| 5.0ms | y |
| 5.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 2 | x |
| 97.0% | 1 | y |
| 97.0% | 1 | z |
| 97.0% | 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) |
(neg.f64 (*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x)) |
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) |
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) |
#s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 z x) y))) |
(*.f64 (/.f64 x y) (-.f64 y z)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 y z) y) x) |
4 calls:
| 6.0ms | z |
| 4.0ms | x |
| 4.0ms | y |
| 3.0ms | (/.f64 (*.f64 x (-.f64 y z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 1 | y |
| 97.0% | 1 | z |
| 97.0% | 1 | (/.f64 (*.f64 x (-.f64 y z)) y) |
| 97.0% | 1 | x |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
(neg.f64 (*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x)) |
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) |
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) |
#s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 z x) y))) |
(*.f64 (/.f64 x y) (-.f64 y z)) |
| Outputs |
|---|
#s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 z x) y))) |
(*.f64 (/.f64 x y) (-.f64 y z)) |
4 calls:
| 4.0ms | x |
| 4.0ms | y |
| 3.0ms | z |
| 3.0ms | (/.f64 (*.f64 x (-.f64 y z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.1% | 1 | x |
| 95.1% | 1 | y |
| 95.1% | 1 | z |
| 97.7% | 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) |
(neg.f64 (*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x)) |
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) |
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) |
#s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 z x) y))) |
| Outputs |
|---|
#s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 z x) y))) |
4 calls:
| 4.0ms | x |
| 3.0ms | y |
| 3.0ms | z |
| 3.0ms | (/.f64 (*.f64 x (-.f64 y z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.1% | 1 | x |
| 95.1% | 1 | y |
| 95.1% | 1 | z |
| 95.1% | 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) |
(neg.f64 (*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x)) |
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) |
(*.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:
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | z |
| 3.0ms | (/.f64 (*.f64 x (-.f64 y z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.3% | 5 | x |
| 77.1% | 3 | y |
| 75.9% | 3 | z |
| 75.8% | 4 | (/.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) |
(neg.f64 (*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x)) |
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) |
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) |
| Outputs |
|---|
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) |
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
1 calls:
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.5% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
(neg.f64 (*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y) |
#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x)) |
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
2 calls:
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.5% | 3 | z |
| 75.6% | 3 | y |
Compiled 2 to 6 computations (-200% saved)
Total -31.5b remaining (-99.9%)
Threshold costs -31.5b (-99.9%)
| Inputs |
|---|
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
(neg.f64 (*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64)))) |
(/.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 | z |
| 2.0ms | x |
| 2.0ms | (/.f64 (*.f64 x (-.f64 y z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.8% | 1 | x |
| 50.8% | 1 | z |
| 50.8% | 1 | (/.f64 (*.f64 x (-.f64 y z)) y) |
| 50.8% | 1 | y |
Compiled 10 to 15 computations (-50% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3727574943891613e-42 | 1.4002388564664215e-42 |
Compiled 10 to 12 computations (-20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.826617521338839e+306 | +inf |
Compiled 10 to 12 computations (-20% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 1.1909804636095628e-8 | 0.011977814874385699 |
| 13.0ms | -6.797488671077244e+36 | -2.1269117759475655e+34 |
| 14.0ms | 272× | 0 | valid |
Compiled 197 to 267 computations (-35.5% saved)
ival-div: 2.0ms (38.4% of total)ival-mult: 2.0ms (38.4% of total)ival-sub: 1.0ms (19.2% 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 |
|---|---|---|
| 8.0ms | 2.8908863971343933e+28 | 2.1300612727653714e+30 |
| 1.0ms | -6.797488671077244e+36 | -2.1269117759475655e+34 |
| 4.0ms | 112× | 0 | valid |
Compiled 175 to 237 computations (-35.4% saved)
ival-sub: 1.0ms (47.9% of total)ival-div: 1.0ms (47.9% of total)ival-mult: 1.0ms (47.9% 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 | 2.8908863971343933e+28 | 2.1300612727653714e+30 |
| 1.0ms | -6.797488671077244e+36 | -2.1269117759475655e+34 |
Compiled 175 to 237 computations (-35.4% saved)
| 1× | egg-herbie |
| 38× | *-commutative-binary64-*.f64 |
| 24× | +-commutative-binary64-+.f64 |
| 24× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 20× | neg-sub0-binary64--.f64-neg.f64 |
| 20× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 193 |
| 1 | 74 | 193 |
| 2 | 103 | 193 |
| 3 | 128 | 193 |
| 4 | 140 | 193 |
| 5 | 144 | 193 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal 8787942429541353/6277101735386680763835789423207666416102355444464034512896 binary64)) (-.f64 x (*.f64 (/.f64 x y) z)) (*.f64 (/.f64 (-.f64 y z) y) x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) #s(literal 4999999999999999930155298801282288858501320919063181937624830367941782926336371924532423207114480333393189640196327307696676586425126051668137976185307698505365345832344687589284519925536573169820811633035563360005510084776652009298228906344280973600585744230586460911069533464925641061001338333875010535424 binary64)) #s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 z x) y))) (*.f64 (/.f64 x y) (-.f64 y z))) |
#s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 z x) y))) |
(if (<=.f64 y #s(literal -58000000000000002607970920282718208 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 4722366482869645/73786976294838206464 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 -58000000000000002607970920282718208 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 144999999999999997253771067392 binary64)) (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x))) |
(if (<=.f64 y #s(literal -58000000000000002607970920282718208 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 144999999999999997253771067392 binary64)) #s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x))) |
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
| Outputs |
|---|
(if (<=.f64 x #s(literal 8787942429541353/6277101735386680763835789423207666416102355444464034512896 binary64)) (-.f64 x (*.f64 (/.f64 x y) z)) (*.f64 (/.f64 (-.f64 y z) y) x)) |
(if (<=.f64 x #s(literal 8787942429541353/6277101735386680763835789423207666416102355444464034512896 binary64)) (-.f64 x (*.f64 z (/.f64 x y))) (*.f64 (/.f64 (-.f64 y z) y) x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) #s(literal 4999999999999999930155298801282288858501320919063181937624830367941782926336371924532423207114480333393189640196327307696676586425126051668137976185307698505365345832344687589284519925536573169820811633035563360005510084776652009298228906344280973600585744230586460911069533464925641061001338333875010535424 binary64)) #s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 z x) y))) (*.f64 (/.f64 x y) (-.f64 y z))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 y z) x) y) #s(literal 4999999999999999930155298801282288858501320919063181937624830367941782926336371924532423207114480333393189640196327307696676586425126051668137976185307698505365345832344687589284519925536573169820811633035563360005510084776652009298228906344280973600585744230586460911069533464925641061001338333875010535424 binary64)) #s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 z x) y))) (*.f64 (-.f64 y z) (/.f64 x y))) |
#s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 z x) y))) |
(if (<=.f64 y #s(literal -58000000000000002607970920282718208 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 4722366482869645/73786976294838206464 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 -58000000000000002607970920282718208 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 4722366482869645/73786976294838206464 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 y #s(literal -58000000000000002607970920282718208 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 144999999999999997253771067392 binary64)) (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x))) |
(if (<=.f64 y #s(literal -58000000000000002607970920282718208 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 144999999999999997253771067392 binary64)) (*.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 x y)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x))) |
(if (<=.f64 y #s(literal -58000000000000002607970920282718208 binary64)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 144999999999999997253771067392 binary64)) #s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x)) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x))) |
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) |
| 27 104× | lower-fma.f64 |
| 27 104× | lower-fma.f32 |
| 11 530× | lower-fma.f64 |
| 11 530× | lower-fma.f32 |
| 5 414× | lower-/.f32 |
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 | 62 | 1953 |
| 1 | 182 | 1803 |
| 2 | 453 | 1803 |
| 3 | 1117 | 1803 |
| 4 | 2682 | 1803 |
| 5 | 4337 | 1803 |
| 6 | 5564 | 1803 |
| 7 | 5961 | 1803 |
| 8 | 6164 | 1803 |
| 9 | 6280 | 1803 |
| 10 | 6306 | 1803 |
| 11 | 6684 | 1803 |
| 12 | 7004 | 1803 |
| 13 | 7040 | 1803 |
| 14 | 7040 | 1803 |
| 0 | 8324 | 1803 |
| 0 | 22 | 97 |
| 0 | 37 | 103 |
| 1 | 117 | 94 |
| 2 | 722 | 93 |
| 0 | 8432 | 93 |
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 35 | 15 |
| 2 | 223 | 15 |
| 3 | 2306 | 15 |
| 0 | 9060 | 15 |
| 0 | 267 | 3167 |
| 1 | 787 | 2849 |
| 2 | 2251 | 2756 |
| 3 | 7265 | 2752 |
| 0 | 8332 | 2722 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 345 to 210 computations (39.1% saved)
Compiled 370 to 160 computations (56.8% saved)
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