
Time bar (total: 4.6s)
| 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 |
| 0% | 0% | 99.9% | 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 |
| 50% | 49.9% | 49.9% | 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 |
| 75% | 74.9% | 25% | 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 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 741.0ms | 8 256× | 0 | valid |
ival-sub: 367.0ms (66.8% of total)ival-div: 126.0ms (22.9% of total)ival-add: 46.0ms (8.4% of total)ival-true: 7.0ms (1.3% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 y x) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 y x) z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x (/.f64 (-.f64 y x) z)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 29.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-div: 6.0ms (49% of total)ival-sub: 3.0ms (24.5% of total)ival-add: 2.0ms (16.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 624× | lower-fma.f64 |
| 624× | lower-fma.f32 |
| 480× | div-sub |
| 476× | times-frac |
| 430× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 72 |
| 1 | 78 | 63 |
| 2 | 229 | 63 |
| 3 | 682 | 63 |
| 4 | 1689 | 63 |
| 5 | 3091 | 63 |
| 6 | 3495 | 63 |
| 7 | 3694 | 63 |
| 8 | 3817 | 63 |
| 9 | 3865 | 63 |
| 10 | 3865 | 63 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 15 | 7 |
| 2 | 26 | 7 |
| 3 | 45 | 7 |
| 4 | 88 | 7 |
| 5 | 158 | 7 |
| 6 | 350 | 7 |
| 7 | 636 | 7 |
| 8 | 905 | 7 |
| 9 | 986 | 7 |
| 10 | 1034 | 7 |
| 11 | 1073 | 7 |
| 0 | 1073 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 x (/.f64 (-.f64 y x) z)) |
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 x) | |
| cost-diff | 0 | (/.f64 (-.f64 y x) z) | |
| cost-diff | 0 | (+.f64 x (/.f64 (-.f64 y x) z)) |
| 624× | lower-fma.f64 |
| 624× | lower-fma.f32 |
| 256× | lower-*.f64 |
| 256× | lower-*.f32 |
| 160× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 9 | 18 |
| 1 | 15 | 18 |
| 2 | 26 | 18 |
| 3 | 45 | 18 |
| 4 | 88 | 18 |
| 5 | 158 | 18 |
| 6 | 350 | 18 |
| 7 | 636 | 18 |
| 8 | 905 | 18 |
| 9 | 986 | 18 |
| 10 | 1034 | 18 |
| 11 | 1073 | 18 |
| 0 | 1073 | 18 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
x |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
y |
z |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
x |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
y |
z |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 y x) z) | |
| accuracy | 0.01171875 | (+.f64 x (/.f64 (-.f64 y x) z)) |
| 26.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-sub: 7.0ms (66.3% of total)ival-div: 2.0ms (18.9% of total)ival-add: 1.0ms (9.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ()) |
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) z) (taylor inf z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) z) (taylor inf z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) z) (taylor inf z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) z) (taylor inf z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor -inf z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor -inf z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor -inf z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) z) (taylor -inf z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) z) (taylor -inf z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) z) (taylor -inf z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) z) (taylor -inf z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (- x (/ x z)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x z)) (/ y z)) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x z)) (/ y z)) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x z)) (/ y z)) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) (taylor inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) (taylor inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) (taylor inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z))) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z))) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z))) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ x (* y z)) (/ 1 z)))) (taylor -inf y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ x (* y z)) (/ 1 z)))) (taylor -inf y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ x (* y z)) (/ 1 z)))) (taylor -inf y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- 1 (/ 1 z))) (/ y z)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- 1 (/ 1 z))) (/ y z)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- 1 (/ 1 z))) (/ y z)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x z)) (/ y z)) (taylor 0 x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x z)) (/ y z)) (taylor 0 x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x z)) (/ y z)) (taylor 0 x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 z))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y (* x z)) (/ 1 z))) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y (* x z)) (/ 1 z))) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y (* x z)) (/ 1 z))) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 61.0ms | y | @ | inf | ((+ x (/ (- y x) z)) (/ (- y x) z) (- y x)) |
| 1.0ms | y | @ | -inf | ((+ x (/ (- y x) z)) (/ (- y x) z) (- y x)) |
| 1.0ms | y | @ | 0 | ((+ x (/ (- y x) z)) (/ (- y x) z) (- y x)) |
| 1.0ms | z | @ | 0 | ((+ x (/ (- y x) z)) (/ (- y x) z) (- y x)) |
| 1.0ms | x | @ | inf | ((+ x (/ (- y x) z)) (/ (- y x) z) (- y x)) |
| 1× | egg-herbie |
| 6 368× | lower-fma.f64 |
| 6 368× | lower-fma.f32 |
| 2 116× | lower-*.f64 |
| 2 116× | lower-*.f32 |
| 1 680× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 460 |
| 1 | 198 | 460 |
| 2 | 553 | 460 |
| 3 | 1590 | 460 |
| 4 | 3540 | 460 |
| 5 | 5031 | 460 |
| 6 | 6478 | 460 |
| 7 | 6764 | 460 |
| 8 | 6864 | 460 |
| 9 | 6864 | 460 |
| 0 | 8148 | 457 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- y x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
x |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
x |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
(- x (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(* -1 (/ x z)) |
(+ (* -1 (/ x z)) (/ y z)) |
(+ (* -1 (/ x z)) (/ y z)) |
(+ (* -1 (/ x z)) (/ y z)) |
(* -1 x) |
(- y x) |
(- y x) |
(- y x) |
(/ y z) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(/ y z) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(/ y z) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(/ y z) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
y |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(/ y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(/ y z) |
(+ (* -1 (/ x z)) (/ y z)) |
(+ (* -1 (/ x z)) (/ y z)) |
(+ (* -1 (/ x z)) (/ y z)) |
y |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(* x (- 1 (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* -1 (/ x z)) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (/ x z)) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
| Outputs |
|---|
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- (+ y (* x z)) x) z) |
(/.f64 (fma.f64 z x (-.f64 y x)) z) |
(/ (- (+ y (* x z)) x) z) |
(/.f64 (fma.f64 z x (-.f64 y x)) z) |
(/ (- (+ y (* x z)) x) z) |
(/.f64 (fma.f64 z x (-.f64 y x)) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
x |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
x |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(- x (/ x z)) |
(-.f64 x (/.f64 x z)) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(+ (* -1 (/ x z)) (/ y z)) |
(/.f64 (-.f64 y x) z) |
(+ (* -1 (/ x z)) (/ y z)) |
(/.f64 (-.f64 y x) z) |
(+ (* -1 (/ x z)) (/ y z)) |
(/.f64 (-.f64 y x) z) |
(* -1 x) |
(neg.f64 x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(/ y z) |
(/.f64 y z) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ y z) |
(/.f64 y z) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(/ y z) |
(/.f64 y z) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ y z) |
(/.f64 y z) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
y |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(/ y z) |
(/.f64 y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ y z) |
(/.f64 y z) |
(+ (* -1 (/ x z)) (/ y z)) |
(/.f64 (-.f64 y x) z) |
(+ (* -1 (/ x z)) (/ y z)) |
(/.f64 (-.f64 y x) z) |
(+ (* -1 (/ x z)) (/ y z)) |
(/.f64 (-.f64 y x) z) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(+ y (* -1 x)) |
(-.f64 y x) |
(+ y (* -1 x)) |
(-.f64 y x) |
(* x (- 1 (/ 1 z))) |
(-.f64 x (/.f64 x z)) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* -1 (* x (- (/ 1 z) 1))) |
(-.f64 x (/.f64 x z)) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
| 3 808× | lower-*.f64 |
| 3 808× | lower-*.f32 |
| 3 560× | lower-fma.f64 |
| 3 560× | lower-fma.f32 |
| 2 654× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 46 | 15 |
| 2 | 408 | 15 |
| 3 | 5406 | 15 |
| 0 | 8250 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z)) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 (/.f64 (-.f64 x y) z) (-.f64 (/.f64 (-.f64 y x) z) x)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z)) (-.f64 (*.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)))) (+.f64 (/.f64 (-.f64 y x) z) x)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)))) (fma.f64 (/.f64 (-.f64 y x) z) (+.f64 (/.f64 (-.f64 y x) z) x) (*.f64 x x))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (/.f64 (-.f64 y x) z) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 y x) z) x)) |
(*.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)) (/.f64 (+.f64 (/.f64 (-.f64 y x) z) x) (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)) (*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (-.f64 x (/.f64 (-.f64 y x) z)))) |
(*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) (*.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (-.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 y x) z) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 y x) z) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -4 binary64))) (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -6 binary64))) (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -6 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)))) |
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(*.f64 (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 x y)) |
(*.f64 (+.f64 y x) (*.f64 (-.f64 y x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (+.f64 y x))) |
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 y x)) |
(*.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) (*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) (/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (-.f64 y x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (-.f64 y x) #s(literal 1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (fma.f64 y y (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) (neg.f64 (+.f64 y x))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (+.f64 y x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64))) (fma.f64 y (/.f64 y (+.f64 y x)) (*.f64 x (/.f64 x (+.f64 y x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (neg.f64 x) y)) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 y (+.f64 y x))) (*.f64 x (/.f64 x (+.f64 y x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 x x))) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 y x) (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (neg.f64 (+.f64 y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) y)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(neg.f64 (-.f64 x y)) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 y x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y x) x) (-.f64 (*.f64 (+.f64 y x) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 y x) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 #s(literal -1 binary64) x y) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 #s(literal 1 binary64) y)) |
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 y (/.f64 y (+.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(fma.f64 x #s(literal -1 binary64) y) |
(-.f64 (+.f64 y #s(literal 0 binary64)) x) |
(-.f64 (*.f64 y (/.f64 y (+.f64 y x))) (*.f64 x (/.f64 x (+.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))) |
(-.f64 #s(literal 0 binary64) (-.f64 x y)) |
(-.f64 y x) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64))) |
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) y)) |
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 x)) |
(+.f64 (*.f64 y (/.f64 y (+.f64 y x))) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(+.f64 (neg.f64 x) y) |
(+.f64 y (neg.f64 x)) |
Compiled 7 643 to 1 078 computations (85.9% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 423 | 6 | 429 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 423 | 7 | 430 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) |
| 97.2% | (-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) | |
| ✓ | 100.0% | (+.f64 x (/.f64 (-.f64 y x) z)) |
| ▶ | 74.7% | (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) |
| ▶ | 65.8% | #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
| ▶ | 41.1% | #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
| ▶ | 61.9% | #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
Compiled 85 to 80 computations (5.9% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | #s(approx (/ (- y x) z) (/.f64 y z)) | |
| cost-diff | 0 | (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (/.f64 (-.f64 y x) z) | |
| cost-diff | 0 | #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (-.f64 x (/.f64 x z)) | |
| cost-diff | 0 | #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) |
| 688× | lower-fma.f32 |
| 686× | lower-fma.f64 |
| 288× | lower-*.f64 |
| 288× | lower-*.f32 |
| 192× | div-sub |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 107 |
| 0 | 30 | 107 |
| 1 | 43 | 107 |
| 2 | 77 | 106 |
| 3 | 141 | 106 |
| 4 | 274 | 106 |
| 5 | 492 | 106 |
| 6 | 727 | 106 |
| 7 | 1089 | 106 |
| 8 | 1182 | 106 |
| 9 | 1213 | 106 |
| 10 | 1221 | 106 |
| 11 | 1223 | 106 |
| 0 | 1223 | 106 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(-.f64 x y) |
x |
y |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
(-.f64 x (/.f64 x z)) |
x |
(/.f64 x z) |
z |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
y |
x |
z |
(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) |
x |
#s(approx (/ (- y x) z) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(-.f64 x y) |
x |
y |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
(-.f64 x (/.f64 x z)) |
x |
(/.f64 x z) |
z |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
y |
x |
z |
(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) |
(+.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x) |
x |
#s(approx (/ (- y x) z) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 0.01171875 | (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) | |
| accuracy | 27.75251244967498 | #s(approx (/ (- y x) z) (/.f64 y z)) | |
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 y x) z) | |
| accuracy | 21.913770535101854 | #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0.0078125 | (-.f64 x (/.f64 x z)) | |
| accuracy | 24.36971006694568 | #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 37.68579505991483 | #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) z) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0.12109375 | (fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) |
| 30.0ms | 256× | 0 | valid |
Compiled 86 to 16 computations (81.4% saved)
ival-div: 7.0ms (46.3% of total)ival-sub: 4.0ms (26.4% of total)ival-add: 2.0ms (13.2% of total)ival-mult: 1.0ms (6.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (patch #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 x z)) (patch (-.f64 x (/.f64 x z)) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ()) |
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (patch (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#s(alt (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (patch (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) #<representation binary64>) () ())) ()) |
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#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
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#s(alt (* x (- 1 (/ 1 z))) (taylor inf x) (#s(alt (-.f64 x (/.f64 x z)) (patch (-.f64 x (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 z))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y (* x z)) (/ 1 z))) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y (* x z)) (/ 1 z))) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y (* x z)) (/ 1 z))) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 z))) (taylor inf x) (#s(alt (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (patch (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (taylor inf x) (#s(alt (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (patch (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (taylor inf x) (#s(alt (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (patch (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (taylor inf x) (#s(alt (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (patch (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor inf x) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y (* x z)) (/ 1 z))) (taylor inf x) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y (* x z)) (/ 1 z))) (taylor inf x) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y (* x z)) (/ 1 z))) (taylor inf x) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (patch #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (patch #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (patch #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (patch #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 x z)) (patch (-.f64 x (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 x z)) (patch (-.f64 x (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 x z)) (patch (-.f64 x (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 x z)) (patch (-.f64 x (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (patch (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (patch (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (patch (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (patch (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | -inf | ((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z)) |
| 1.0ms | z | @ | 0 | ((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z)) |
| 1.0ms | x | @ | inf | ((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z)) |
| 1.0ms | z | @ | inf | ((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z)) |
| 1.0ms | y | @ | inf | ((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z)) |
| 1× | egg-herbie |
| 8 350× | lower-fma.f64 |
| 8 350× | lower-fma.f32 |
| 2 650× | lower-*.f64 |
| 2 650× | lower-*.f32 |
| 1 250× | lower-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 2401 |
| 1 | 242 | 2266 |
| 2 | 672 | 1859 |
| 3 | 1833 | 1859 |
| 4 | 4414 | 1859 |
| 5 | 6646 | 1859 |
| 6 | 7906 | 1859 |
| 0 | 8089 | 1859 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (- x y) z)) |
(/ (+ (* -1 (- x y)) (* x z)) z) |
(/ (+ (* -1 (- x y)) (* x z)) z) |
(/ (+ (* -1 (- x y)) (* x z)) z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ (- y x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (- y x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ (- (+ y (* x z)) x) z) |
(* -1 (/ x z)) |
(/ (- (* x z) x) z) |
(/ (- (* x z) x) z) |
(/ (- (* x z) x) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (- y x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
x |
(+ x (* -1 (/ (- x y) z))) |
(+ x (* -1 (/ (- x y) z))) |
(+ x (* -1 (/ (- x y) z))) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
x |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
x |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
x |
(+ x (* -1 (/ x z))) |
(+ x (* -1 (/ x z))) |
(+ x (* -1 (/ x z))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
x |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
x |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
x |
(+ x (* -1 (/ (- x y) z))) |
(+ x (* -1 (/ (- x y) z))) |
(+ x (* -1 (/ (- x y) z))) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
x |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
x |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
x |
(+ x (* -1 (/ x z))) |
(+ x (* -1 (/ x z))) |
(+ x (* -1 (/ x z))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
x |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
x |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
(+ x (* -1 (/ x z))) |
(+ x (+ (* -1 (/ x z)) (/ y z))) |
(+ x (+ (* -1 (/ x z)) (/ y z))) |
(+ x (+ (* -1 (/ x z)) (/ y z))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(- x (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(- x (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- x (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(* -1 (/ x z)) |
(+ (* -1 (/ x z)) (/ y z)) |
(+ (* -1 (/ x z)) (/ y z)) |
(+ (* -1 (/ x z)) (/ y z)) |
(* -1 x) |
(- y x) |
(- y x) |
(- y x) |
(- x (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(* -1 (/ x z)) |
(+ (* -1 (/ x z)) (/ y z)) |
(+ (* -1 (/ x z)) (/ y z)) |
(+ (* -1 (/ x z)) (/ y z)) |
(/ y z) |
(* y (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ x y)))) |
(* y (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ x y)))) |
(* y (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ x y)))) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(/ y z) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(/ y z) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(/ y z) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(/ y z) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(/ y z) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(/ y z) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(/ y z) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(/ y z) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(/ y z) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
y |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(/ y z) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(/ y z) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(/ y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
(/ y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(/ y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(* x (- 1 (/ 1 z))) |
(* x (- 1 (/ 1 z))) |
(* x (- 1 (/ 1 z))) |
(* x (- 1 (/ 1 z))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(/ y z) |
(+ (* -1 (/ x z)) (/ y z)) |
(+ (* -1 (/ x z)) (/ y z)) |
(+ (* -1 (/ x z)) (/ y z)) |
y |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(/ y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(/ y z) |
(+ (* -1 (/ x z)) (/ y z)) |
(+ (* -1 (/ x z)) (/ y z)) |
(+ (* -1 (/ x z)) (/ y z)) |
(* x (- 1 (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (- 1 (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* x (- 1 (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* x (- 1 (/ 1 z))) |
(* x (- 1 (/ 1 z))) |
(* x (- 1 (/ 1 z))) |
(* x (- 1 (/ 1 z))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* x (- 1 (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* -1 (/ x z)) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- 1 (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* -1 (/ x z)) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (/ 1 z) 1))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (/ x z)) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (/ x z)) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
| Outputs |
|---|
(* -1 (/ (- x y) z)) |
(/.f64 (-.f64 y x) z) |
(/ (+ (* -1 (- x y)) (* x z)) z) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ (+ (* -1 (- x y)) (* x z)) z) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ (+ (* -1 (- x y)) (* x z)) z) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- (+ y (* x z)) x) z) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ (- (+ y (* x z)) x) z) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ (- (+ y (* x z)) x) z) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- (+ y (* x z)) x) z) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ (- (+ y (* x z)) x) z) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ (- (+ y (* x z)) x) z) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(/ (- (* x z) x) z) |
(-.f64 x (/.f64 x z)) |
(/ (- (* x z) x) z) |
(-.f64 x (/.f64 x z)) |
(/ (- (* x z) x) z) |
(-.f64 x (/.f64 x z)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- (+ y (* x z)) x) z) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ (- (+ y (* x z)) x) z) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ (- (+ y (* x z)) x) z) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- (+ y (* x z)) x) z) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ (- (+ y (* x z)) x) z) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ (- (+ y (* x z)) x) z) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
x |
(+ x (* -1 (/ (- x y) z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(+ x (* -1 (/ (- x y) z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(+ x (* -1 (/ (- x y) z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
x |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
x |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
x |
(+ x (* -1 (/ x z))) |
(-.f64 x (/.f64 x z)) |
(+ x (* -1 (/ x z))) |
(-.f64 x (/.f64 x z)) |
(+ x (* -1 (/ x z))) |
(-.f64 x (/.f64 x z)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
x |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
x |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
x |
(+ x (* -1 (/ (- x y) z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(+ x (* -1 (/ (- x y) z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(+ x (* -1 (/ (- x y) z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
x |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
x |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
x |
(+ x (* -1 (/ x z))) |
(-.f64 x (/.f64 x z)) |
(+ x (* -1 (/ x z))) |
(-.f64 x (/.f64 x z)) |
(+ x (* -1 (/ x z))) |
(-.f64 x (/.f64 x z)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
x |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
x |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(+ x (* -1 (/ x z))) |
(-.f64 x (/.f64 x z)) |
(+ x (+ (* -1 (/ x z)) (/ y z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(+ x (+ (* -1 (/ x z)) (/ y z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(+ x (+ (* -1 (/ x z)) (/ y z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(- x (/ x z)) |
(-.f64 x (/.f64 x z)) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(- x (/ x z)) |
(-.f64 x (/.f64 x z)) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- x (/ x z)) |
(-.f64 x (/.f64 x z)) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(+ (* -1 (/ x z)) (/ y z)) |
(/.f64 (-.f64 y x) z) |
(+ (* -1 (/ x z)) (/ y z)) |
(/.f64 (-.f64 y x) z) |
(+ (* -1 (/ x z)) (/ y z)) |
(/.f64 (-.f64 y x) z) |
(* -1 x) |
(neg.f64 x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(- x (/ x z)) |
(-.f64 x (/.f64 x z)) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(- (+ x (/ y z)) (/ x z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(+ (* -1 (/ x z)) (/ y z)) |
(/.f64 (-.f64 y x) z) |
(+ (* -1 (/ x z)) (/ y z)) |
(/.f64 (-.f64 y x) z) |
(+ (* -1 (/ x z)) (/ y z)) |
(/.f64 (-.f64 y x) z) |
(/ y z) |
(/.f64 y z) |
(* y (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ x y)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* y (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ x y)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* y (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ x y)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(/ y z) |
(/.f64 y z) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ y z) |
(/.f64 y z) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ y z) |
(/.f64 y z) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(/ y z) |
(/.f64 y z) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ y z) |
(/.f64 y z) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(/ y z) |
(/.f64 y z) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(/ y z) |
(/.f64 y z) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ y z) |
(/.f64 y z) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ y z) |
(/.f64 y z) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
y |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(/ y z) |
(/.f64 y z) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ y z) |
(/.f64 y z) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(/ y z) |
(/.f64 y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(/ y z) |
(/.f64 y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ y z) |
(/.f64 y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* x (- 1 (/ 1 z))) |
(-.f64 x (/.f64 x z)) |
(* x (- 1 (/ 1 z))) |
(-.f64 x (/.f64 x z)) |
(* x (- 1 (/ 1 z))) |
(-.f64 x (/.f64 x z)) |
(* x (- 1 (/ 1 z))) |
(-.f64 x (/.f64 x z)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ y z) |
(/.f64 y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ y z) |
(/.f64 y z) |
(+ (* -1 (/ x z)) (/ y z)) |
(/.f64 (-.f64 y x) z) |
(+ (* -1 (/ x z)) (/ y z)) |
(/.f64 (-.f64 y x) z) |
(+ (* -1 (/ x z)) (/ y z)) |
(/.f64 (-.f64 y x) z) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(+ y (* -1 x)) |
(-.f64 y x) |
(+ y (* -1 x)) |
(-.f64 y x) |
(/ y z) |
(/.f64 y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(/ y z) |
(/.f64 y z) |
(+ (* -1 (/ x z)) (/ y z)) |
(/.f64 (-.f64 y x) z) |
(+ (* -1 (/ x z)) (/ y z)) |
(/.f64 (-.f64 y x) z) |
(+ (* -1 (/ x z)) (/ y z)) |
(/.f64 (-.f64 y x) z) |
(* x (- 1 (/ 1 z))) |
(-.f64 x (/.f64 x z)) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (- 1 (/ 1 z))) |
(-.f64 x (/.f64 x z)) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* x (- 1 (/ 1 z))) |
(-.f64 x (/.f64 x z)) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* x (- 1 (/ 1 z))) |
(-.f64 x (/.f64 x z)) |
(* x (- 1 (/ 1 z))) |
(-.f64 x (/.f64 x z)) |
(* x (- 1 (/ 1 z))) |
(-.f64 x (/.f64 x z)) |
(* x (- 1 (/ 1 z))) |
(-.f64 x (/.f64 x z)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(* x (- 1 (/ 1 z))) |
(-.f64 x (/.f64 x z)) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* x (- 1 (/ 1 z))) |
(-.f64 x (/.f64 x z)) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* x (- (/ 1 z) 1))) |
(-.f64 x (/.f64 x z)) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
x |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ 1 z) 1))) |
(-.f64 x (/.f64 x z)) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* x (- (/ 1 z) 1))) |
(-.f64 x (/.f64 x z)) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* x (- (/ 1 z) 1))) |
(-.f64 x (/.f64 x z)) |
(* -1 (* x (- (/ 1 z) 1))) |
(-.f64 x (/.f64 x z)) |
(* -1 (* x (- (/ 1 z) 1))) |
(-.f64 x (/.f64 x z)) |
(* -1 (* x (- (/ 1 z) 1))) |
(-.f64 x (/.f64 x z)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(* -1 (* x (- (/ 1 z) 1))) |
(-.f64 x (/.f64 x z)) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (- (/ 1 z) 1))) |
(-.f64 x (/.f64 x z)) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(/.f64 (-.f64 y x) z) |
| 5 452× | lower-fma.f32 |
| 5 450× | lower-fma.f64 |
| 4 042× | lower-/.f32 |
| 4 034× | lower-/.f64 |
| 3 198× | lower-*.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 90 |
| 0 | 30 | 90 |
| 1 | 125 | 90 |
| 2 | 1100 | 89 |
| 0 | 8845 | 89 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) |
(/.f64 #s(literal -1 binary64) z) |
(-.f64 x y) |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
(/.f64 y z) |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
(-.f64 x (/.f64 x z)) |
(/.f64 x z) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(/.f64 (-.f64 y x) z) |
(-.f64 y x) |
(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) |
#s(approx (/ (- y x) z) (/.f64 y z)) |
| Outputs |
|---|
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 (-.f64 y x) z) x)))) |
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (/.f64 (-.f64 x y) z))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x) (*.f64 x x))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x (/.f64 (-.f64 x y) z)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (/.f64 (-.f64 y x) z) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -2 binary64))) (pow.f64 (+.f64 x (/.f64 (-.f64 x y) z)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (+.f64 x (/.f64 (-.f64 x y) z)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (-.f64 x y) z))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (-.f64 x y) z))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 y x) z) x)) (/.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 y x) z) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 y x) z) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 y x) z) x)))) (+.f64 (/.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 y x) z) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 y x) z) x)))) |
(/.f64 (-.f64 (*.f64 (+.f64 x (/.f64 y z)) (+.f64 x (/.f64 y z))) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (+.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (-.f64 x y) z))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 (-.f64 x y) z)))) (*.f64 (/.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -2 binary64)) (+.f64 x (/.f64 (-.f64 x y) z))) (/.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -2 binary64)) (+.f64 x (/.f64 (-.f64 x y) z))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (-.f64 x y) z))) (/.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -2 binary64)) (+.f64 x (/.f64 (-.f64 x y) z))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (*.f64 (-.f64 (/.f64 x z) x) (-.f64 (/.f64 x z) x))) (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))) |
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(neg.f64 (-.f64 y x)) |
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(fma.f64 #s(literal 1 binary64) x (neg.f64 y)) |
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(fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 y)) |
(fma.f64 #s(literal -1 binary64) y x) |
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(-.f64 #s(literal 0 binary64) (-.f64 y x)) |
(-.f64 (neg.f64 y) (neg.f64 x)) |
(-.f64 x y) |
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(+.f64 #s(literal 0 binary64) (-.f64 x y)) |
(+.f64 (neg.f64 y) x) |
(+.f64 x (neg.f64 y)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
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#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x z))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x z)))) |
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(fma.f64 (*.f64 x x) (pow.f64 (+.f64 (/.f64 x z) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 x z) x)))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x))) (*.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x)))) (+.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 (neg.f64 y) #s(literal -1 binary64)))) (-.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x)))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 (neg.f64 y) #s(literal -1 binary64))) (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 y) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (+.f64 y x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (fma.f64 y y (*.f64 x (+.f64 y x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 x x))) (*.f64 (+.f64 y x) (+.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y (neg.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (+.f64 y x)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (neg.f64 x) y)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y (neg.f64 x))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (+.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y (neg.f64 x)))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(neg.f64 (-.f64 x y)) |
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 y x)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))))) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) y) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) y) |
(fma.f64 y #s(literal 1 binary64) (neg.f64 x)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 (neg.f64 y) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) x y) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x))))) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x))) |
(-.f64 #s(literal 0 binary64) (-.f64 x y)) |
(-.f64 y x) |
(+.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 y) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))))) |
(+.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 y x)))) |
(+.f64 (neg.f64 x) y) |
(+.f64 y (neg.f64 x)) |
(*.f64 (-.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x))) |
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (/ (- y x) z) (/.f64 y z)) (-.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x) (*.f64 x x))))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x))))) |
(*.f64 (+.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (/ (- y x) z) (/.f64 y z)) (-.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))) (/.f64 (*.f64 x x) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z))))) (*.f64 (/.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))) (/.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))) (/.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))) (/.f64 (*.f64 x x) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))) (fma.f64 (/.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))) (/.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))) (/.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (/ (- y x) z) (/.f64 y z)) (-.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))) (*.f64 (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 2 binary64)))) (*.f64 (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (/ (- y x) z) (/.f64 y z)) (-.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 2 binary64))) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))) |
(/.f64 (+.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x)))) |
(/.f64 (+.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(approx (/ (- y x) z) (/.f64 y z)) (-.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x) (-.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x))) (+.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x)))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))))) |
(fma.f64 #s(literal 1 binary64) x #s(approx (/ (- y x) z) (/.f64 y z))) |
(fma.f64 x #s(literal 1 binary64) #s(approx (/ (- y x) z) (/.f64 y z))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(approx (/ (- y x) z) (/.f64 y z))) |
(-.f64 (/.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x)) (/.f64 (*.f64 x x) (-.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))) (/.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z))))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))) (neg.f64 (/.f64 (pow.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))))) |
(+.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x) |
(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) |
#s(approx (/ (- y x) z) (/.f64 y z)) |
Compiled 14 624 to 1 879 computations (87.2% saved)
9 alts after pruning (3 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 998 | 3 | 1 001 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 999 | 9 | 1 008 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) |
| ▶ | 74.6% | (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) |
| ✓ | 100.0% | (+.f64 x (/.f64 (-.f64 y x) z)) |
| ✓ | 74.7% | (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) |
| ✓ | 65.8% | #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
| ▶ | 29.0% | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
| ✓ | 41.1% | #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
| ▶ | 63.0% | #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) |
| ✓ | 61.9% | #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
Compiled 59 to 58 computations (1.7% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- x y) (neg.f64 y)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- y x) (neg.f64 x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- y x) (neg.f64 x)) z) | |
| cost-diff | 0 | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) | |
| cost-diff | 704 | (-.f64 (/.f64 y z) (/.f64 x z)) |
| 784× | lower-fma.f32 |
| 782× | lower-fma.f64 |
| 368× | lower-*.f64 |
| 368× | lower-*.f32 |
| 208× | lower-+.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 91 |
| 0 | 29 | 87 |
| 1 | 44 | 87 |
| 2 | 72 | 87 |
| 3 | 111 | 86 |
| 4 | 198 | 86 |
| 5 | 323 | 86 |
| 6 | 550 | 86 |
| 7 | 933 | 86 |
| 8 | 1105 | 86 |
| 9 | 1250 | 86 |
| 10 | 1427 | 86 |
| 11 | 1448 | 86 |
| 12 | 1460 | 86 |
| 13 | 1484 | 86 |
| 14 | 1493 | 86 |
| 0 | 1493 | 86 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) |
(-.f64 (/.f64 y z) (/.f64 x z)) |
(/.f64 y z) |
y |
z |
(/.f64 x z) |
x |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
(/.f64 #s(approx (- y x) (neg.f64 x)) z) |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
x |
z |
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
| Outputs |
|---|
#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(-.f64 (/.f64 y z) (/.f64 x z)) |
(/.f64 (-.f64 y x) z) |
(/.f64 y z) |
y |
z |
(/.f64 x z) |
x |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
(/.f64 #s(approx (- y x) (neg.f64 x)) z) |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
x |
z |
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) |
(-.f64 x (/.f64 #s(approx (- x y) (neg.f64 y)) z)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal -1 binary64) z) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.12109375 | (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) | |
| accuracy | 29.945764162050367 | #s(approx (- x y) (neg.f64 y)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (- y x) (neg.f64 x)) z) | |
| accuracy | 21.913770535101854 | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) | |
| accuracy | 33.156652638875826 | #s(approx (- y x) (neg.f64 x)) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 1.6015542433208234 | (-.f64 (/.f64 y z) (/.f64 x z)) | |
| accuracy | 21.913770535101854 | #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) |
| 46.0ms | 256× | 0 | valid |
Compiled 65 to 18 computations (72.3% saved)
ival-neg: 17.0ms (53.4% of total)ival-div: 7.0ms (22% of total)ival-sub: 4.0ms (12.6% of total)ival-add: 2.0ms (6.3% of total)ival-mult: 2.0ms (6.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (/.f64 y z) (/.f64 x z)) (patch (-.f64 (/.f64 y z) (/.f64 x z)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) (patch #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) z) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ()) |
#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 y z) (/.f64 x z)) (patch (-.f64 (/.f64 y z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 y z) (/.f64 x z)) (patch (-.f64 (/.f64 y z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 y z) (/.f64 x z)) (patch (-.f64 (/.f64 y z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 y z) (/.f64 x z)) (patch (-.f64 (/.f64 y z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) (patch #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#s(alt #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) (patch #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#s(alt #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) (patch #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#s(alt #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) (patch #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x 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 (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y 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 (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) z) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) z) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) z) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) z) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- x y) z)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (- x y)) (* x z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (- x y)) (* x z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (- x y)) (* x z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) z) (taylor inf z) (#s(alt (-.f64 (/.f64 y z) (/.f64 x z)) (patch (-.f64 (/.f64 y z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) z) (taylor inf z) (#s(alt (-.f64 (/.f64 y z) (/.f64 x z)) (patch (-.f64 (/.f64 y z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) z) (taylor inf z) (#s(alt (-.f64 (/.f64 y z) (/.f64 x z)) (patch (-.f64 (/.f64 y z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) z) (taylor inf z) (#s(alt (-.f64 (/.f64 y z) (/.f64 x z)) (patch (-.f64 (/.f64 y z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf z) (#s(alt #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) (patch #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#s(alt #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) (patch #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#s(alt #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) (patch #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#s(alt #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) (patch #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x 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 (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf z) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) z) (taylor inf z) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) z) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) z) (taylor inf z) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) z) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) z) (taylor inf z) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) z) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) z) (taylor inf z) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) z) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (- x y) z))) (taylor inf z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (- x y) z))) (taylor inf z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (- x y) z))) (taylor inf z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor inf z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor inf z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor inf z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor inf z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 y) (* -1 x)) z)) (taylor -inf z) (#s(alt (-.f64 (/.f64 y z) (/.f64 x z)) (patch (-.f64 (/.f64 y z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 y) (* -1 x)) z)) (taylor -inf z) (#s(alt (-.f64 (/.f64 y z) (/.f64 x z)) (patch (-.f64 (/.f64 y z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 y) (* -1 x)) z)) (taylor -inf z) (#s(alt (-.f64 (/.f64 y z) (/.f64 x z)) (patch (-.f64 (/.f64 y z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 y) (* -1 x)) z)) (taylor -inf z) (#s(alt (-.f64 (/.f64 y z) (/.f64 x z)) (patch (-.f64 (/.f64 y z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf z) (#s(alt #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) (patch #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor -inf z) (#s(alt #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) (patch #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor -inf z) (#s(alt #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) (patch #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor -inf z) (#s(alt #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) (patch #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x 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 (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (-.f64 (/.f64 y z) (/.f64 x z)) (patch (-.f64 (/.f64 y z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 y z) (/.f64 x z)) (patch (-.f64 (/.f64 y z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 y z) (/.f64 x z)) (patch (-.f64 (/.f64 y z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 y z) (/.f64 x z)) (patch (-.f64 (/.f64 y z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) (patch #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) (patch #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) (patch #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) (patch #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) z) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) z) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) z) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) z) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | ((- (/ y z) (/ x z)) (+ x (/ (- y x) z)) (/ y z) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (neg y)) |
| 1.0ms | z | @ | -inf | ((- (/ y z) (/ x z)) (+ x (/ (- y x) z)) (/ y z) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (neg y)) |
| 1.0ms | z | @ | 0 | ((- (/ y z) (/ x z)) (+ x (/ (- y x) z)) (/ y z) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (neg y)) |
| 1.0ms | y | @ | -inf | ((- (/ y z) (/ x z)) (+ x (/ (- y x) z)) (/ y z) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (neg y)) |
| 1.0ms | x | @ | inf | ((- (/ y z) (/ x z)) (+ x (/ (- y x) z)) (/ y z) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (neg y)) |
| 1× | egg-herbie |
| 5 952× | lower-fma.f64 |
| 5 952× | lower-fma.f32 |
| 2 336× | lower-/.f32 |
| 2 336× | lower-/.f64 |
| 2 050× | lower-*.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 1518 |
| 1 | 257 | 1518 |
| 2 | 697 | 1518 |
| 3 | 2084 | 1518 |
| 4 | 4799 | 1356 |
| 5 | 6273 | 1356 |
| 6 | 7272 | 1356 |
| 7 | 7770 | 1356 |
| 8 | 7812 | 1356 |
| 9 | 7814 | 1356 |
| 0 | 8813 | 1356 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (- y x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ (- (+ y (* x z)) x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
(* -1 (/ (- x y) z)) |
(/ (+ (* -1 (- x y)) (* x z)) z) |
(/ (+ (* -1 (- x y)) (* x z)) z) |
(/ (+ (* -1 (- x y)) (* x z)) z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
x |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
x |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
x |
(+ x (* -1 (/ (- x y) z))) |
(+ x (* -1 (/ (- x y) z))) |
(+ x (* -1 (/ (- x y) z))) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(* -1 (/ (- (* -1 y) (* -1 x)) z)) |
(* -1 (/ (- (* -1 y) (* -1 x)) z)) |
(* -1 (/ (- (* -1 y) (* -1 x)) z)) |
(* -1 (/ (- (* -1 y) (* -1 x)) z)) |
x |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
x |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
(/ (- y x) z) |
x |
(+ x (* -1 (/ (- x y) z))) |
(+ x (* -1 (/ (- x y) z))) |
(+ x (* -1 (/ (- x y) z))) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(* -1 (/ x z)) |
(- (/ y z) (/ x z)) |
(- (/ y z) (/ x z)) |
(- (/ y z) (/ x z)) |
(- x (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(- x (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(- (+ x (/ y z)) (/ x z)) |
(* -1 (/ x z)) |
(+ (* -1 (/ x z)) (/ y z)) |
(+ (* -1 (/ x z)) (/ y z)) |
(+ (* -1 (/ x z)) (/ y z)) |
(* -1 x) |
(- y x) |
(- y x) |
(- y x) |
(+ x (* -1 (/ x z))) |
(+ x (+ (* -1 (/ x z)) (/ y z))) |
(+ x (+ (* -1 (/ x z)) (/ y z))) |
(+ x (+ (* -1 (/ x z)) (/ y z))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ y z) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(/ y z) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) |
(/ y z) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(* y (+ (* -1 (/ x (* y z))) (/ 1 z))) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(/ y z) |
(* y (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ x y)))) |
(* y (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ x y)))) |
(* y (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ x y)))) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ y z) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(/ y z) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(/ y z) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
(* -1 (* y (- (/ x (* y z)) (/ 1 z)))) |
y |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(/ y z) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ y z) |
(+ (* -1 (/ x z)) (/ y z)) |
(+ (* -1 (/ x z)) (/ y z)) |
(+ (* -1 (/ x z)) (/ y z)) |
(/ y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(/ y z) |
(+ (* -1 (/ x z)) (/ y z)) |
(+ (* -1 (/ x z)) (/ y z)) |
(+ (* -1 (/ x z)) (/ y z)) |
y |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ y z) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(+ (* x (- 1 (/ 1 z))) (/ y z)) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
(* -1 (/ x z)) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* x (- 1 (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* x (- 1 (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* -1 (/ x z)) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* x (- (/ y (* x z)) (/ 1 z))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* x (- 1 (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
(* x (- (+ 1 (/ y (* x z))) (/ 1 z))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 (/ x z)) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (/ x z)) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 (* x (- (/ 1 z) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
| Outputs |
|---|
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- y x) z) |
(/.f64 (-.f64 y x) z) |
(/ (- (+ y (* x z)) x) z) |
(-.f64 x (/.f64 (-.f64 x y) z)) |
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(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
| 5 562× | lower-*.f64 |
| 5 562× | lower-*.f32 |
| 4 600× | lower-/.f32 |
| 4 592× | lower-/.f64 |
| 2 666× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 82 |
| 0 | 29 | 78 |
| 1 | 128 | 78 |
| 2 | 1226 | 78 |
| 0 | 8487 | 78 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 y z) (/.f64 x z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) |
(/.f64 y z) |
(/.f64 x z) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
(/.f64 #s(approx (- y x) (neg.f64 x)) z) |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) |
(/.f64 #s(literal -1 binary64) z) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 x y) z) (/.f64 (-.f64 y x) (+.f64 x y))) |
(*.f64 (/.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) z) (/.f64 (-.f64 y x) (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 x y)) (pow.f64 z #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 y x) z) (+.f64 x y))) |
(*.f64 (pow.f64 (/.f64 z (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (pow.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 y x)) |
(*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 x y)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) z)) |
(*.f64 (neg.f64 (-.f64 y x)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (fma.f64 z y (*.f64 (neg.f64 z) x)) (pow.f64 z #s(literal -2 binary64))) |
(*.f64 (-.f64 y x) (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 x y)) (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 x y)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 z (-.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 z z) (fma.f64 z y (*.f64 (neg.f64 z) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z (-.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y z))))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 z y (*.f64 (neg.f64 z) x)) z)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 z #s(literal -1 binary64)))) (neg.f64 (+.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal -1 binary64)))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 x y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 x y)) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 y x)))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 z y (*.f64 (neg.f64 z) x)))) (neg.f64 (neg.f64 (*.f64 z z)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 x y) z))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) z))) |
(/.f64 (neg.f64 (-.f64 (/.f64 z x) (*.f64 (/.f64 z y) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 z y) (/.f64 z x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (/.f64 z y) (neg.f64 x)))) (neg.f64 (*.f64 (/.f64 z y) (neg.f64 z)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 z y) x))) (neg.f64 (*.f64 (/.f64 z y) z))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 y) (/.f64 z x)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 z) (/.f64 z x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (*.f64 (neg.f64 z) (neg.f64 x)))) (neg.f64 (*.f64 z z))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 y) z) (*.f64 (neg.f64 z) x))) (neg.f64 (*.f64 (neg.f64 z) z))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y (/.f64 z x)) (*.f64 z #s(literal 1 binary64)))) (neg.f64 (*.f64 z (/.f64 z x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y (neg.f64 z)) (*.f64 z (neg.f64 x)))) (neg.f64 (*.f64 z (neg.f64 z)))) |
(/.f64 (neg.f64 (-.f64 (neg.f64 y) (neg.f64 x))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 (-.f64 y x) #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 x y))) (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 x y)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (pow.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 x y)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 x y)) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 x y)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 x y)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 x z))) (pow.f64 z #s(literal 4 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 z))) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 x)))) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 y)) z) (*.f64 (neg.f64 (neg.f64 z)) (*.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 (neg.f64 z)) z)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 y)) (/.f64 (/.f64 z x) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 z)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 z)) (/.f64 (/.f64 z x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 y)) (/.f64 z x)) (*.f64 (neg.f64 (neg.f64 z)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 z)) (/.f64 z x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (/.f64 z x))) (*.f64 (neg.f64 (neg.f64 z)) #s(literal -1 binary64))) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (/.f64 z x)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 z)) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 z))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 y)) z) (*.f64 (neg.f64 (neg.f64 z)) x)) (*.f64 (neg.f64 (neg.f64 z)) z)) |
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) (neg.f64 (neg.f64 z))) (*.f64 z (neg.f64 (neg.f64 x)))) (*.f64 z (neg.f64 (neg.f64 z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) z) (*.f64 z (*.f64 x #s(literal 1 binary64)))) (*.f64 z z)) |
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 z x) #s(literal 1 binary64))) (*.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 (/.f64 z x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 z x)) (*.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z x))) |
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) (neg.f64 (/.f64 z x))) (*.f64 z #s(literal -1 binary64))) (*.f64 z (neg.f64 (/.f64 z x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) (neg.f64 z)) (*.f64 z (neg.f64 x))) (*.f64 z (neg.f64 z))) |
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) z) (*.f64 x z)) (*.f64 z z)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 z))) (*.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))) (*.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) (neg.f64 (neg.f64 z)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) z)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 (/.f64 z x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (/.f64 z x) (*.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 z x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z x))) (*.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) (neg.f64 (/.f64 z x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) (neg.f64 z))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) x)) (*.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) z)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 z))) (*.f64 (/.f64 z y) (neg.f64 (neg.f64 x)))) (*.f64 (/.f64 z y) (neg.f64 (neg.f64 z)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 z y) (*.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 z y) z)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) #s(literal 1 binary64))) (*.f64 (/.f64 z y) #s(literal 1 binary64))) (*.f64 (/.f64 z y) (/.f64 (/.f64 z x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z x))) (*.f64 (/.f64 z y) #s(literal -1 binary64))) (*.f64 (/.f64 z y) (neg.f64 (/.f64 z x)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 y) (neg.f64 (neg.f64 z))) (*.f64 (neg.f64 z) (neg.f64 (neg.f64 x)))) (*.f64 (neg.f64 z) (neg.f64 (neg.f64 z)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 y) z) (*.f64 (neg.f64 z) (*.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 z) z)) |
(/.f64 (-.f64 (*.f64 (neg.f64 y) (/.f64 (/.f64 z x) #s(literal 1 binary64))) (*.f64 (neg.f64 z) #s(literal 1 binary64))) (*.f64 (neg.f64 z) (/.f64 (/.f64 z x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 y) (neg.f64 (/.f64 z x))) (*.f64 (neg.f64 z) #s(literal -1 binary64))) (*.f64 (neg.f64 z) (neg.f64 (/.f64 z x)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 z))) (*.f64 (neg.f64 (/.f64 z y)) (neg.f64 (neg.f64 x)))) (*.f64 (neg.f64 (/.f64 z y)) (neg.f64 (neg.f64 z)))) |
(/.f64 (-.f64 (neg.f64 z) (*.f64 (neg.f64 (/.f64 z y)) (*.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 (/.f64 z y)) z)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 z x) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 z y)) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 z y)) (/.f64 (/.f64 z x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 (neg.f64 (/.f64 z y)) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 z y)) (/.f64 z x))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z x))) (*.f64 (neg.f64 (/.f64 z y)) #s(literal -1 binary64))) (*.f64 (neg.f64 (/.f64 z y)) (neg.f64 (/.f64 z x)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 z)) (*.f64 (neg.f64 (/.f64 z y)) (neg.f64 x))) (*.f64 (neg.f64 (/.f64 z y)) (neg.f64 z))) |
(/.f64 (-.f64 (neg.f64 z) (*.f64 (neg.f64 (/.f64 z y)) x)) (*.f64 (neg.f64 (/.f64 z y)) z)) |
(/.f64 (-.f64 (*.f64 y (neg.f64 (neg.f64 z))) (*.f64 z (neg.f64 (neg.f64 x)))) (*.f64 z (neg.f64 (neg.f64 z)))) |
(/.f64 (-.f64 (*.f64 z y) (*.f64 z (*.f64 x #s(literal 1 binary64)))) (*.f64 z z)) |
(/.f64 (-.f64 (*.f64 y (/.f64 (/.f64 z x) #s(literal 1 binary64))) (*.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 (/.f64 z x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 y (neg.f64 (/.f64 z x))) (*.f64 z #s(literal -1 binary64))) (*.f64 z (neg.f64 (/.f64 z x)))) |
(/.f64 (-.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 z))) |
(/.f64 (-.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) z) |
(/.f64 (-.f64 y (*.f64 x #s(literal 1 binary64))) z) |
(/.f64 (-.f64 (*.f64 y #s(literal 1 binary64)) x) z) |
(/.f64 (/.f64 (fma.f64 z y (*.f64 (neg.f64 z) x)) z) z) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 z #s(literal -1 binary64))) (+.f64 x y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal -1 binary64))) (fma.f64 x (+.f64 x y) (*.f64 y y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (*.f64 z (+.f64 x y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 z (fma.f64 x (+.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 y (neg.f64 x)) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (neg.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 x y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (/.f64 y z) (/.f64 (neg.f64 x) z)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (+.f64 x y)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 y x))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (fma.f64 z y (*.f64 (neg.f64 z) x))) (neg.f64 (*.f64 z z))) |
(/.f64 (*.f64 (-.f64 y x) #s(literal 1 binary64)) z) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (*.f64 (+.f64 x y) z)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) z)) |
(/.f64 (-.f64 (/.f64 z x) (*.f64 (/.f64 z y) #s(literal 1 binary64))) (*.f64 (/.f64 z y) (/.f64 z x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (/.f64 z y) (neg.f64 x))) (*.f64 (/.f64 z y) (neg.f64 z))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 z y) x)) (*.f64 (/.f64 z y) z)) |
(/.f64 (-.f64 (*.f64 (neg.f64 y) (/.f64 z x)) (*.f64 (neg.f64 z) #s(literal 1 binary64))) (*.f64 (neg.f64 z) (/.f64 z x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (*.f64 (neg.f64 z) (neg.f64 x))) (*.f64 z z)) |
(/.f64 (-.f64 (*.f64 (neg.f64 y) z) (*.f64 (neg.f64 z) x)) (*.f64 (neg.f64 z) z)) |
(/.f64 (-.f64 (*.f64 y (/.f64 z x)) (*.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z x))) |
(/.f64 (-.f64 (*.f64 y (neg.f64 z)) (*.f64 z (neg.f64 x))) (*.f64 z (neg.f64 z))) |
(/.f64 (-.f64 (neg.f64 y) (neg.f64 x)) (neg.f64 z)) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 z (+.f64 x y))) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z))) (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x)) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z))) (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x) (-.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z))) (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x) (-.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z))) (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) z) #s(literal -1 binary64) x) |
(fma.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))) (pow.f64 z #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) #s(literal -1 binary64)) x) |
(fma.f64 #s(approx (- x y) (neg.f64 y)) (/.f64 #s(literal -1 binary64) z) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(approx (- x y) (neg.f64 y)) z) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (- x y) (neg.f64 y))) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)))) (/.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 x (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x))) |
(+.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z)) x) |
(+.f64 x (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (/.f64 (*.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 z) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 z #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 z #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 z))) |
(/.f64 #s(literal -1 binary64) z) |
(neg.f64 (pow.f64 z #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) #s(literal -1 binary64))) |
#s(approx (- x y) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 y #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) |
(neg.f64 y) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 0 binary64) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(-.f64 #s(literal 0 binary64) y) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
Compiled 7 479 to 1 207 computations (83.9% saved)
9 alts after pruning (0 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 616 | 0 | 616 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 6 | 6 |
| Total | 616 | 9 | 625 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) |
| ✓ | 74.6% | (fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) |
| ✓ | 100.0% | (+.f64 x (/.f64 (-.f64 y x) z)) |
| ✓ | 74.7% | (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) |
| ✓ | 65.8% | #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
| ✓ | 29.0% | #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
| ✓ | 41.1% | #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
| ✓ | 63.0% | #s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) |
| ✓ | 61.9% | #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
Compiled 127 to 87 computations (31.5% saved)
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) |
(+.f64 x (/.f64 (-.f64 y x) z)) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x) |
#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z))) |
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
4 calls:
| 5.0ms | y |
| 4.0ms | x |
| 4.0ms | z |
| 4.0ms | (+.f64 x (/.f64 (-.f64 y x) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (+.f64 x (/.f64 (-.f64 y x) z)) |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) |
4 calls:
| 3.0ms | y |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | (+.f64 x (/.f64 (-.f64 y x) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.0% | 3 | x |
| 89.0% | 3 | y |
| 99.2% | 3 | z |
| 87.7% | 3 | (+.f64 x (/.f64 (-.f64 y x) z)) |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
| Outputs |
|---|
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
2 calls:
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.7% | 3 | y |
| 88.1% | 3 | z |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
| Outputs |
|---|
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) |
4 calls:
| 3.0ms | (+.f64 x (/.f64 (-.f64 y x) z)) |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.5% | 3 | y |
| 61.9% | 1 | (+.f64 x (/.f64 (-.f64 y x) z)) |
| 76.9% | 3 | x |
| 69.0% | 3 | z |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
| Outputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
4 calls:
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| 1.0ms | (+.f64 x (/.f64 (-.f64 y x) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.6% | 2 | (+.f64 x (/.f64 (-.f64 y x) z)) |
| 48.2% | 3 | z |
| 55.5% | 3 | y |
| 54.1% | 3 | x |
Compiled 10 to 15 computations (-50% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
| Outputs |
|---|
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
4 calls:
| 2.0ms | y |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | (+.f64 x (/.f64 (-.f64 y x) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.1% | 1 | (+.f64 x (/.f64 (-.f64 y x) z)) |
| 41.1% | 1 | z |
| 41.1% | 1 | x |
| 41.1% | 1 | y |
Compiled 10 to 15 computations (-50% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 0.0013552704607636937 | 0.09318411901763117 |
| 19.0ms | -7295039.847723613 | -0.003592183592002204 |
| 18.0ms | 256× | 0 | valid |
Compiled 202 to 236 computations (-16.8% saved)
ival-div: 2.0ms (43.2% of total)ival-sub: 1.0ms (21.6% of total)ival-add: 1.0ms (21.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 2.0685813883758813e+57 | 2.5171409895533083e+67 |
| 12.0ms | -1.86409192078513e+70 | -6.659048746701644e+59 |
| 14.0ms | 320× | 0 | valid |
Compiled 250 to 292 computations (-16.8% saved)
ival-div: 3.0ms (43.7% of total)ival-sub: 2.0ms (29.1% of total)ival-add: 1.0ms (14.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 6.877286107243001e-134 | 1.671728790397188e-131 |
| 9.0ms | -1.472865623065864e-78 | -2.7162571419553585e-80 |
| 10.0ms | 224× | 0 | valid |
Compiled 150 to 194 computations (-29.3% saved)
ival-div: 2.0ms (49.6% of total)ival-sub: 1.0ms (24.8% of total)ival-add: 1.0ms (24.8% 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 |
|---|---|---|
| 6.0ms | 4.1585911391625614e-92 | 1.5990784262719785e-91 |
| 12.0ms | -4261319173200206300.0 | -2970328558616.1772 |
| 10.0ms | 224× | 0 | valid |
Compiled 150 to 208 computations (-38.7% saved)
ival-div: 2.0ms (41.8% of total)ival-sub: 1.0ms (20.9% of total)ival-add: 1.0ms (20.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 14× | +-commutative-binary64-+.f64 |
| 10× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 6× | *-commutative-binary64-*.f64 |
| 6× | neg-sub0-binary64--.f64-neg.f64 |
| 6× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 199 |
| 1 | 53 | 199 |
| 2 | 62 | 199 |
| 3 | 67 | 199 |
| 4 | 70 | 199 |
| 5 | 71 | 199 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
(if (<=.f64 z #s(literal -1 binary64)) (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (if (<=.f64 z #s(literal 3314649325744685/36028797018963968 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))))) |
(if (<=.f64 z #s(literal -191999999999999999416715210356354861230050046591343606881687961600 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 719999999999999970694975877423092989505254255177130934534144 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))))) |
(if (<=.f64 x #s(literal -5840589551346239/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 x #s(literal 4155671670180649/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))))) |
(if (<=.f64 y #s(literal -5800000000000 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 2018278782071263/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) z)) |
(+.f64 (/.f64 (-.f64 y x) z) x) |
(if (<=.f64 z #s(literal -1 binary64)) (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (if (<=.f64 z #s(literal 3314649325744685/36028797018963968 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))))) |
(if (<=.f64 z #s(literal -1 binary64)) (+.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x) (if (<=.f64 z #s(literal 3314649325744685/36028797018963968 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) (+.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x))) |
(if (<=.f64 z #s(literal -191999999999999999416715210356354861230050046591343606881687961600 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 719999999999999970694975877423092989505254255177130934534144 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))))) |
(if (<=.f64 x #s(literal -5840589551346239/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 x #s(literal 4155671670180649/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))))) |
(if (<=.f64 y #s(literal -5800000000000 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 2018278782071263/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)))) |
#s(approx (+ x (/ (- y x) z)) (/.f64 y z)) |
| 8 350× | lower-fma.f64 |
| 8 350× | lower-fma.f32 |
| 6 368× | lower-fma.f64 |
| 6 368× | lower-fma.f32 |
| 2 650× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 2401 |
| 1 | 242 | 2266 |
| 2 | 672 | 1859 |
| 3 | 1833 | 1859 |
| 4 | 4414 | 1859 |
| 5 | 6646 | 1859 |
| 6 | 7906 | 1859 |
| 0 | 8089 | 1859 |
| 0 | 71 | 460 |
| 1 | 198 | 460 |
| 2 | 553 | 460 |
| 3 | 1590 | 460 |
| 4 | 3540 | 460 |
| 5 | 5031 | 460 |
| 6 | 6478 | 460 |
| 7 | 6764 | 460 |
| 8 | 6864 | 460 |
| 9 | 6864 | 460 |
| 0 | 8148 | 457 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 148 to 87 computations (41.2% saved)
Compiled 232 to 96 computations (58.6% saved)
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