
Time bar (total: 7.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 1.4s | 8 256× | 0 | valid |
ival-fabs: 79.0ms (39.9% of total)ival-div: 60.0ms (30.3% of total)ival-sub: 48.0ms (24.3% of total)ival-true: 6.0ms (3% of total)ival-assert: 3.0ms (1.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (fabs.f64 (-.f64 x y)) |
| 0 | 0 | - | 0 | - | (fabs.f64 y) |
| 0 | 0 | - | 0 | - | (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 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 |
| 44.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-div: 6.0ms (41.1% of total)ival-fabs: 5.0ms (34.3% of total)ival-sub: 3.0ms (20.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 41 |
| 1 | 47 | 37 |
| 2 | 93 | 37 |
| 3 | 176 | 37 |
| 4 | 254 | 37 |
| 5 | 308 | 37 |
| 6 | 342 | 37 |
| 7 | 358 | 37 |
| 8 | 368 | 37 |
| 9 | 372 | 37 |
| 10 | 377 | 37 |
| 11 | 383 | 37 |
| 12 | 383 | 37 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 14 | 7 |
| 2 | 21 | 7 |
| 3 | 29 | 7 |
| 4 | 48 | 7 |
| 5 | 95 | 7 |
| 6 | 149 | 7 |
| 7 | 172 | 7 |
| 8 | 186 | 7 |
| 9 | 198 | 7 |
| 10 | 198 | 7 |
| 0 | 198 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
| Outputs |
|---|
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y)) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fabs.f64 y) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (fabs.f64 (-.f64 x y)) | |
| cost-diff | 0 | (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 10 | 18 |
| 1 | 14 | 18 |
| 2 | 21 | 18 |
| 3 | 29 | 18 |
| 4 | 48 | 18 |
| 5 | 95 | 18 |
| 6 | 149 | 18 |
| 7 | 172 | 18 |
| 8 | 186 | 18 |
| 9 | 198 | 18 |
| 10 | 198 | 18 |
| 0 | 198 | 18 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(fabs.f64 (-.f64 x y)) |
(-.f64 x y) |
x |
y |
(fabs.f64 y) |
| Outputs |
|---|
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y)) |
(fabs.f64 (-.f64 x y)) |
(fabs.f64 (-.f64 y x)) |
(-.f64 x y) |
x |
y |
(fabs.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (fabs.f64 (-.f64 x y)) | |
| accuracy | 0 | (fabs.f64 y) | |
| accuracy | 0.0234375 | (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
| 16.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-sub: 5.0ms (51.7% of total)ival-div: 2.0ms (20.7% of total)ival-fabs: 2.0ms (20.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ()) |
#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor 0 y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor 0 y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor 0 y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor 0 y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (fabs y) (taylor 0 y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (fabs y) (taylor 0 y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (fabs y) (taylor 0 y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (fabs y) (taylor 0 y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (fabs y) (taylor inf y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (fabs y) (taylor inf y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (fabs y) (taylor inf y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (fabs y) (taylor inf y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (/ (fabs (+ x (* -1 y))) (fabs y)) (taylor -inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (fabs (+ x (* -1 y))) (fabs y)) (taylor -inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (fabs (+ x (* -1 y))) (fabs y)) (taylor -inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (fabs (+ x (* -1 y))) (fabs y)) (taylor -inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (+ x (* -1 y))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (+ x (* -1 y))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (+ x (* -1 y))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (+ x (* -1 y))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (fabs y) (taylor -inf y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (fabs y) (taylor -inf y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (fabs y) (taylor -inf y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (fabs y) (taylor -inf y) (#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor 0 x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor 0 x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor 0 x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor 0 x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (fabs (- x y)) (fabs y)) (taylor inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- x y)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (fabs (neg (+ y (* -1 x)))) (fabs y)) (taylor -inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (fabs (neg (+ y (* -1 x)))) (fabs y)) (taylor -inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (fabs (neg (+ y (* -1 x)))) (fabs y)) (taylor -inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (fabs (neg (+ y (* -1 x)))) (fabs y)) (taylor -inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (patch (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<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>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | ((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y)) |
| 1.0ms | x | @ | inf | ((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y)) |
| 1.0ms | y | @ | -inf | ((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y)) |
| 1.0ms | x | @ | -inf | ((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y)) |
| 1.0ms | y | @ | 0 | ((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 351 |
| 1 | 80 | 351 |
| 2 | 187 | 351 |
| 3 | 547 | 351 |
| 4 | 1652 | 351 |
| 5 | 2521 | 351 |
| 6 | 3476 | 351 |
| 7 | 5021 | 351 |
| 8 | 5582 | 351 |
| 9 | 6843 | 351 |
| 10 | 7813 | 351 |
| 0 | 8108 | 351 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (fabs (- x y)) (fabs y)) |
(/ (fabs (- x y)) (fabs y)) |
(/ (fabs (- x y)) (fabs y)) |
(/ (fabs (- x y)) (fabs y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(fabs y) |
(fabs y) |
(fabs y) |
(fabs y) |
(/ (fabs (- x y)) (fabs y)) |
(/ (fabs (- x y)) (fabs y)) |
(/ (fabs (- x y)) (fabs y)) |
(/ (fabs (- x y)) (fabs y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(fabs y) |
(fabs y) |
(fabs y) |
(fabs y) |
(/ (fabs (+ x (* -1 y))) (fabs y)) |
(/ (fabs (+ x (* -1 y))) (fabs y)) |
(/ (fabs (+ x (* -1 y))) (fabs y)) |
(/ (fabs (+ x (* -1 y))) (fabs y)) |
(fabs (+ x (* -1 y))) |
(fabs (+ x (* -1 y))) |
(fabs (+ x (* -1 y))) |
(fabs (+ x (* -1 y))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(fabs y) |
(fabs y) |
(fabs y) |
(fabs y) |
(/ (fabs (- x y)) (fabs y)) |
(/ (fabs (- x y)) (fabs y)) |
(/ (fabs (- x y)) (fabs y)) |
(/ (fabs (- x y)) (fabs y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
(/ (fabs (- x y)) (fabs y)) |
(/ (fabs (- x y)) (fabs y)) |
(/ (fabs (- x y)) (fabs y)) |
(/ (fabs (- x y)) (fabs y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
(fabs (- x y)) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(/ (fabs (neg (+ y (* -1 x)))) (fabs y)) |
(/ (fabs (neg (+ y (* -1 x)))) (fabs y)) |
(/ (fabs (neg (+ y (* -1 x)))) (fabs y)) |
(/ (fabs (neg (+ y (* -1 x)))) (fabs y)) |
(fabs (neg (+ y (* -1 x)))) |
(fabs (neg (+ y (* -1 x)))) |
(fabs (neg (+ y (* -1 x)))) |
(fabs (neg (+ y (* -1 x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
| Outputs |
|---|
(/ (fabs (- x y)) (fabs y)) |
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(/ (fabs (- x y)) (fabs y)) |
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(/ (fabs (- x y)) (fabs y)) |
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(/ (fabs (- x y)) (fabs y)) |
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(fabs y) |
(fabs.f64 y) |
(fabs y) |
(fabs.f64 y) |
(fabs y) |
(fabs.f64 y) |
(fabs y) |
(fabs.f64 y) |
(/ (fabs (- x y)) (fabs y)) |
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(/ (fabs (- x y)) (fabs y)) |
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(/ (fabs (- x y)) (fabs y)) |
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(/ (fabs (- x y)) (fabs y)) |
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(* -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) |
(fabs y) |
(fabs.f64 y) |
(fabs y) |
(fabs.f64 y) |
(fabs y) |
(fabs.f64 y) |
(fabs y) |
(fabs.f64 y) |
(/ (fabs (+ x (* -1 y))) (fabs y)) |
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(/ (fabs (+ x (* -1 y))) (fabs y)) |
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(/ (fabs (+ x (* -1 y))) (fabs y)) |
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(/ (fabs (+ x (* -1 y))) (fabs y)) |
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(fabs (+ x (* -1 y))) |
(fabs.f64 (-.f64 x y)) |
(fabs (+ x (* -1 y))) |
(fabs.f64 (-.f64 x y)) |
(fabs (+ x (* -1 y))) |
(fabs.f64 (-.f64 x y)) |
(fabs (+ x (* -1 y))) |
(fabs.f64 (-.f64 x y)) |
(* -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) |
(fabs y) |
(fabs.f64 y) |
(fabs y) |
(fabs.f64 y) |
(fabs y) |
(fabs.f64 y) |
(fabs y) |
(fabs.f64 y) |
(/ (fabs (- x y)) (fabs y)) |
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(/ (fabs (- x y)) (fabs y)) |
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(/ (fabs (- x y)) (fabs y)) |
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(/ (fabs (- x y)) (fabs y)) |
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(/ (fabs (- x y)) (fabs y)) |
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(/ (fabs (- x y)) (fabs y)) |
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(/ (fabs (- x y)) (fabs y)) |
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(/ (fabs (- x y)) (fabs y)) |
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- x y)) |
(fabs.f64 (-.f64 x y)) |
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) |
(/ (fabs (neg (+ y (* -1 x)))) (fabs y)) |
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(/ (fabs (neg (+ y (* -1 x)))) (fabs y)) |
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(/ (fabs (neg (+ y (* -1 x)))) (fabs y)) |
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(/ (fabs (neg (+ y (* -1 x)))) (fabs y)) |
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(fabs (neg (+ y (* -1 x)))) |
(fabs.f64 (-.f64 x y)) |
(fabs (neg (+ y (* -1 x)))) |
(fabs.f64 (-.f64 x y)) |
(fabs (neg (+ y (* -1 x)))) |
(fabs.f64 (-.f64 x y)) |
(fabs (neg (+ y (* -1 x)))) |
(fabs.f64 (-.f64 x y)) |
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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 10 | 15 |
| 1 | 40 | 15 |
| 2 | 252 | 15 |
| 3 | 2330 | 15 |
| 0 | 8712 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(fabs.f64 (-.f64 x y)) |
(-.f64 x y) |
(fabs.f64 y) |
| Outputs |
|---|
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Compiled 10 052 to 1 507 computations (85% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 461 | 5 | 466 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 462 | 5 | 467 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 90.2% | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) (*.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64))) (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x)))))) |
| ▶ | 99.8% | (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y))) |
| ▶ | 99.7% | (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) |
| ▶ | 100.0% | (fabs.f64 (/.f64 (-.f64 y x) y)) |
Compiled 120 to 88 computations (26.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (-.f64 x y) #s(literal -1 binary64)) | |
| cost-diff | 0 | (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y))) | |
| cost-diff | 6080 | (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y) | |
| cost-diff | 320 | (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) (*.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64))) | |
| cost-diff | 384 | (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) | |
| cost-diff | 1152 | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) (*.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64))) (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x)))))) | |
| cost-diff | 1472 | (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (/.f64 y (-.f64 y x)) | |
| cost-diff | 0 | (fabs.f64 (/.f64 y (-.f64 y x))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) | |
| cost-diff | 0 | (fabs.f64 (/.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (fabs.f64 (-.f64 y x)) | |
| cost-diff | 448 | (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (/.f64 (-.f64 y x) y) | |
| cost-diff | 0 | (fabs.f64 (/.f64 (-.f64 y x) y)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 201 |
| 0 | 51 | 152 |
| 1 | 104 | 144 |
| 2 | 237 | 142 |
| 3 | 848 | 141 |
| 4 | 1497 | 141 |
| 5 | 2238 | 141 |
| 6 | 3150 | 141 |
| 7 | 3692 | 141 |
| 8 | 3780 | 141 |
| 9 | 3792 | 141 |
| 10 | 5668 | 141 |
| 11 | 6969 | 141 |
| 0 | 8123 | 141 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fabs.f64 (/.f64 (-.f64 y x) y)) |
(/.f64 (-.f64 y x) y) |
(-.f64 y x) |
y |
x |
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) |
(fabs.f64 (-.f64 y x)) |
(-.f64 y x) |
y |
x |
(fabs.f64 (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) |
#s(literal 1 binary64) |
(fabs.f64 (/.f64 y (-.f64 y x))) |
(/.f64 y (-.f64 y x)) |
y |
(-.f64 y x) |
x |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) (*.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64))) (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x)))))) |
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) (*.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64))) |
(*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) |
#s(literal 0 binary64) |
(neg.f64 (fabs.f64 (/.f64 y (-.f64 y x)))) |
(fabs.f64 (/.f64 y (-.f64 y x))) |
(/.f64 y (-.f64 y x)) |
y |
(-.f64 y x) |
x |
(*.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64)) |
(neg.f64 (fabs.f64 y)) |
(fabs.f64 y) |
#s(literal 1 binary64) |
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y))) |
#s(literal 1 binary64) |
(fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) |
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y) |
(pow.f64 (-.f64 x y) #s(literal -1 binary64)) |
(-.f64 x y) |
x |
y |
#s(literal -1 binary64) |
| Outputs |
|---|
(fabs.f64 (/.f64 (-.f64 y x) y)) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(/.f64 (-.f64 y x) y) |
(-.f64 y x) |
y |
x |
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs.f64 (-.f64 y x)) |
(fabs.f64 (-.f64 x y)) |
(-.f64 y x) |
y |
x |
(fabs.f64 (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
#s(literal 1 binary64) |
(fabs.f64 (/.f64 y (-.f64 y x))) |
(fabs.f64 (/.f64 y (-.f64 x y))) |
(/.f64 y (-.f64 y x)) |
y |
(-.f64 y x) |
x |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) (*.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64))) (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x)))))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) (*.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64))) |
(fabs.f64 y) |
(*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(neg.f64 (fabs.f64 (/.f64 y (-.f64 y x)))) |
(neg.f64 (fabs.f64 (/.f64 y (-.f64 x y)))) |
(fabs.f64 (/.f64 y (-.f64 y x))) |
(fabs.f64 (/.f64 y (-.f64 x y))) |
(/.f64 y (-.f64 y x)) |
y |
(-.f64 y x) |
x |
(*.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64)) |
(neg.f64 (fabs.f64 y)) |
(neg.f64 (fabs.f64 y)) |
(fabs.f64 y) |
#s(literal 1 binary64) |
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) |
(/.f64 (*.f64 y y) (fabs.f64 (-.f64 x y))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
#s(literal 1 binary64) |
(fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) |
(fabs.f64 (/.f64 y (-.f64 x y))) |
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y) |
(/.f64 y (-.f64 x y)) |
(pow.f64 (-.f64 x y) #s(literal -1 binary64)) |
(-.f64 x y) |
x |
y |
#s(literal -1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) | |
| accuracy | 0.015625 | (pow.f64 (-.f64 x y) #s(literal -1 binary64)) | |
| accuracy | 0.10546875 | (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y))) | |
| accuracy | 0.1875 | (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y) | |
| accuracy | 0 | (fabs.f64 y) | |
| accuracy | 0.01953125 | (/.f64 y (-.f64 y x)) | |
| accuracy | 0.07421875 | (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) | |
| accuracy | 6.252346437307231 | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) (*.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64))) (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x)))))) | |
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0 | (fabs.f64 (/.f64 y (-.f64 y x))) | |
| accuracy | 0.01953125 | (/.f64 y (-.f64 y x)) | |
| accuracy | 0.10546875 | (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) | |
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0 | (fabs.f64 (/.f64 #s(literal -1 binary64) y)) | |
| accuracy | 0 | (fabs.f64 (-.f64 y x)) | |
| accuracy | 0.1875 | (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) | |
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0 | (fabs.f64 (/.f64 (-.f64 y x) y)) | |
| accuracy | 0.0234375 | (/.f64 (-.f64 y x) y) |
| 155.0ms | 256× | 0 | valid |
Compiled 203 to 30 computations (85.2% saved)
ival-fabs: 83.0ms (74.8% of total)ival-div: 10.0ms (9% of total)ival-mult: 7.0ms (6.3% of total)ival-sub: 4.0ms (3.6% of total)ival-pow: 4.0ms (3.6% of total)ival-neg: 2.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fabs.f64 (/.f64 (-.f64 y x) y)) (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ()) |
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) (patch (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ()) |
#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ()) |
#s(alt (fabs.f64 (/.f64 #s(literal -1 binary64) y)) (patch (fabs.f64 (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) #<representation binary64>) () ()) |
#s(alt (fabs.f64 (/.f64 y (-.f64 y x))) (patch (fabs.f64 (/.f64 y (-.f64 y x))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (-.f64 y x)) (patch (/.f64 y (-.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) (patch (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) (*.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64))) (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x)))))) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) (*.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64))) (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) (patch (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) (*.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64))) (patch (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) (*.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y) (patch (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y))) #<representation binary64>) () ()) |
#s(alt (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) (patch (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fabs.f64 y) (patch (fabs.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 (-.f64 y x) y)) (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 (-.f64 y x) y)) (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 (-.f64 y x) y)) (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 (-.f64 y x) y)) (patch (fabs.f64 (/.f64 (-.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<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 (* (fabs (- y x)) (fabs (/ -1 y))) (taylor 0 y) (#s(alt (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) (patch (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* (fabs (- y x)) (fabs (/ -1 y))) (taylor 0 y) (#s(alt (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) (patch (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* (fabs (- y x)) (fabs (/ -1 y))) (taylor 0 y) (#s(alt (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) (patch (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* (fabs (- y x)) (fabs (/ -1 y))) (taylor 0 y) (#s(alt (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) (patch (*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ -1 y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 #s(literal -1 binary64) y)) (patch (fabs.f64 (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ -1 y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 #s(literal -1 binary64) y)) (patch (fabs.f64 (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ -1 y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 #s(literal -1 binary64) y)) (patch (fabs.f64 (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ -1 y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 #s(literal -1 binary64) y)) (patch (fabs.f64 (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (fabs (/ y (- y x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (fabs (/ y (- y x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (fabs (/ y (- y x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (fabs (/ y (- y x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ y (- y x))) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 y (-.f64 y x))) (patch (fabs.f64 (/.f64 y (-.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ y (- y x))) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 y (-.f64 y x))) (patch (fabs.f64 (/.f64 y (-.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ y (- y x))) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 y (-.f64 y x))) (patch (fabs.f64 (/.f64 y (-.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ y (- y x))) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 y (-.f64 y x))) (patch (fabs.f64 (/.f64 y (-.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y x)) (taylor 0 y) (#s(alt (/.f64 y (-.f64 y x)) (patch (/.f64 y (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 y (-.f64 y x)) (patch (/.f64 y (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 y (-.f64 y x)) (patch (/.f64 y (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 y (-.f64 y x)) (patch (/.f64 y (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt 0 (taylor 0 y) (#s(alt (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) (patch (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y) (patch (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (fabs (* -1 (/ y (+ y (* -1 x)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (fabs (* -1 (/ y (+ y (* -1 x)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (fabs (* -1 (/ y (+ y (* -1 x)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (fabs (* -1 (/ y (+ y (* -1 x)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (* -1 (/ y (+ y (* -1 x))))) (taylor -inf x) (#s(alt (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) (patch (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (* -1 (/ y (+ y (* -1 x))))) (taylor -inf x) (#s(alt (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) (patch (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (* -1 (/ y (+ y (* -1 x))))) (taylor -inf x) (#s(alt (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) (patch (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (* -1 (/ y (+ y (* -1 x))))) (taylor -inf x) (#s(alt (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) (patch (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ y x)) 1) x)) (taylor -inf x) (#s(alt (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) x)) (taylor -inf x) (#s(alt (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) x)) (taylor -inf x) (#s(alt (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | x | @ | inf | ((fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (* (fabs (- y x)) (fabs (/ -1 y))) (fabs (- y x)) (fabs (/ -1 y)) (/ 1 (fabs (/ y (- y x)))) (fabs (/ y (- y x))) (/ y (- y x)) (* 0 (neg (fabs (/ y (- y x))))) (/ (- (* 0 (neg (fabs (/ y (- y x))))) (* (neg (fabs y)) 1)) (* (neg (fabs y)) (neg (fabs (/ y (- y x)))))) (* (neg (fabs y)) (neg (fabs (/ y (- y x))))) (- (* 0 (neg (fabs (/ y (- y x))))) (* (neg (fabs y)) 1)) (* (pow (- x y) -1) y) (/ 1 (fabs (* (pow (- x y) -1) y))) (fabs (* (pow (- x y) -1) y)) (pow (- x y) -1) (fabs y)) |
| 7.0ms | x | @ | -inf | ((fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (* (fabs (- y x)) (fabs (/ -1 y))) (fabs (- y x)) (fabs (/ -1 y)) (/ 1 (fabs (/ y (- y x)))) (fabs (/ y (- y x))) (/ y (- y x)) (* 0 (neg (fabs (/ y (- y x))))) (/ (- (* 0 (neg (fabs (/ y (- y x))))) (* (neg (fabs y)) 1)) (* (neg (fabs y)) (neg (fabs (/ y (- y x)))))) (* (neg (fabs y)) (neg (fabs (/ y (- y x))))) (- (* 0 (neg (fabs (/ y (- y x))))) (* (neg (fabs y)) 1)) (* (pow (- x y) -1) y) (/ 1 (fabs (* (pow (- x y) -1) y))) (fabs (* (pow (- x y) -1) y)) (pow (- x y) -1) (fabs y)) |
| 5.0ms | y | @ | inf | ((fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (* (fabs (- y x)) (fabs (/ -1 y))) (fabs (- y x)) (fabs (/ -1 y)) (/ 1 (fabs (/ y (- y x)))) (fabs (/ y (- y x))) (/ y (- y x)) (* 0 (neg (fabs (/ y (- y x))))) (/ (- (* 0 (neg (fabs (/ y (- y x))))) (* (neg (fabs y)) 1)) (* (neg (fabs y)) (neg (fabs (/ y (- y x)))))) (* (neg (fabs y)) (neg (fabs (/ y (- y x))))) (- (* 0 (neg (fabs (/ y (- y x))))) (* (neg (fabs y)) 1)) (* (pow (- x y) -1) y) (/ 1 (fabs (* (pow (- x y) -1) y))) (fabs (* (pow (- x y) -1) y)) (pow (- x y) -1) (fabs y)) |
| 4.0ms | y | @ | 0 | ((fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (* (fabs (- y x)) (fabs (/ -1 y))) (fabs (- y x)) (fabs (/ -1 y)) (/ 1 (fabs (/ y (- y x)))) (fabs (/ y (- y x))) (/ y (- y x)) (* 0 (neg (fabs (/ y (- y x))))) (/ (- (* 0 (neg (fabs (/ y (- y x))))) (* (neg (fabs y)) 1)) (* (neg (fabs y)) (neg (fabs (/ y (- y x)))))) (* (neg (fabs y)) (neg (fabs (/ y (- y x))))) (- (* 0 (neg (fabs (/ y (- y x))))) (* (neg (fabs y)) 1)) (* (pow (- x y) -1) y) (/ 1 (fabs (* (pow (- x y) -1) y))) (fabs (* (pow (- x y) -1) y)) (pow (- x y) -1) (fabs y)) |
| 3.0ms | y | @ | -inf | ((fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (* (fabs (- y x)) (fabs (/ -1 y))) (fabs (- y x)) (fabs (/ -1 y)) (/ 1 (fabs (/ y (- y x)))) (fabs (/ y (- y x))) (/ y (- y x)) (* 0 (neg (fabs (/ y (- y x))))) (/ (- (* 0 (neg (fabs (/ y (- y x))))) (* (neg (fabs y)) 1)) (* (neg (fabs y)) (neg (fabs (/ y (- y x)))))) (* (neg (fabs y)) (neg (fabs (/ y (- y x))))) (- (* 0 (neg (fabs (/ y (- y x))))) (* (neg (fabs y)) 1)) (* (pow (- x y) -1) y) (/ 1 (fabs (* (pow (- x y) -1) y))) (fabs (* (pow (- x y) -1) y)) (pow (- x y) -1) (fabs y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 279 | 2577 |
| 1 | 812 | 2507 |
| 2 | 2132 | 2379 |
| 3 | 7044 | 2373 |
| 0 | 8206 | 2322 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(* -1 (/ x y)) |
(/ (+ y (* -1 x)) y) |
(/ (+ y (* -1 x)) y) |
(/ (+ y (* -1 x)) y) |
(* -1 x) |
(- y x) |
(- y x) |
(- y x) |
(* (fabs (- y x)) (fabs (/ -1 y))) |
(* (fabs (- y x)) (fabs (/ -1 y))) |
(* (fabs (- y x)) (fabs (/ -1 y))) |
(* (fabs (- y x)) (fabs (/ -1 y))) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (/ -1 y)) |
(fabs (/ -1 y)) |
(fabs (/ -1 y)) |
(fabs (/ -1 y)) |
(/ 1 (fabs (/ y (- y x)))) |
(/ 1 (fabs (/ y (- y x)))) |
(/ 1 (fabs (/ y (- y x)))) |
(/ 1 (fabs (/ y (- y x)))) |
(fabs (/ y (- y x))) |
(fabs (/ y (- y x))) |
(fabs (/ y (- y x))) |
(fabs (/ y (- y x))) |
(* -1 (/ y x)) |
(* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) |
(* y (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))) |
(* y (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))) |
0 |
0 |
0 |
0 |
(/ 1 (fabs (/ y (- y x)))) |
(/ 1 (fabs (/ y (- y x)))) |
(/ 1 (fabs (/ y (- y x)))) |
(/ 1 (fabs (/ y (- y x)))) |
(* (fabs y) (fabs (/ y (- y x)))) |
(* (fabs y) (fabs (/ y (- y x)))) |
(* (fabs y) (fabs (/ y (- y x)))) |
(* (fabs y) (fabs (/ y (- y x)))) |
(fabs y) |
(fabs y) |
(fabs y) |
(fabs y) |
(/ y x) |
(* y (+ (/ 1 x) (/ y (pow x 2)))) |
(* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))) |
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))) |
(/ 1 (fabs (/ y (- x y)))) |
(/ 1 (fabs (/ y (- x y)))) |
(/ 1 (fabs (/ y (- x y)))) |
(/ 1 (fabs (/ y (- x y)))) |
(fabs (/ y (- x y))) |
(fabs (/ y (- x y))) |
(fabs (/ y (- x y))) |
(fabs (/ y (- x y))) |
(/ 1 x) |
(+ (/ 1 x) (/ y (pow x 2))) |
(+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)) |
(+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(fabs y) |
(fabs y) |
(fabs y) |
(fabs y) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
1 |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* (fabs (- y x)) (fabs (/ -1 y))) |
(* (fabs (- y x)) (fabs (/ -1 y))) |
(* (fabs (- y x)) (fabs (/ -1 y))) |
(* (fabs (- y x)) (fabs (/ -1 y))) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (/ -1 y)) |
(fabs (/ -1 y)) |
(fabs (/ -1 y)) |
(fabs (/ -1 y)) |
(/ 1 (fabs (/ y (- y x)))) |
(/ 1 (fabs (/ y (- y x)))) |
(/ 1 (fabs (/ y (- y x)))) |
(/ 1 (fabs (/ y (- y x)))) |
(fabs (/ y (- y x))) |
(fabs (/ y (- y x))) |
(fabs (/ y (- y x))) |
(fabs (/ y (- y x))) |
1 |
(+ 1 (/ x y)) |
(- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) |
(- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) |
0 |
0 |
0 |
0 |
(/ 1 (fabs (/ y (- y x)))) |
(/ 1 (fabs (/ y (- y x)))) |
(/ 1 (fabs (/ y (- y x)))) |
(/ 1 (fabs (/ y (- y x)))) |
(* (fabs y) (fabs (/ y (- y x)))) |
(* (fabs y) (fabs (/ y (- y x)))) |
(* (fabs y) (fabs (/ y (- y x)))) |
(* (fabs y) (fabs (/ y (- y x)))) |
(fabs y) |
(fabs y) |
(fabs y) |
(fabs y) |
-1 |
(- (* -1 (/ x y)) 1) |
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) |
(- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) |
(/ 1 (fabs (/ y (- x y)))) |
(/ 1 (fabs (/ y (- x y)))) |
(/ 1 (fabs (/ y (- x y)))) |
(/ 1 (fabs (/ y (- x y)))) |
(fabs (/ y (- x y))) |
(fabs (/ y (- x y))) |
(fabs (/ y (- x y))) |
(fabs (/ y (- x y))) |
(/ -1 y) |
(/ (- (* -1 (/ x y)) 1) y) |
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) y) |
(/ (- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) y) |
(fabs y) |
(fabs y) |
(fabs y) |
(fabs y) |
(fabs (* -1 (/ (+ x (* -1 y)) y))) |
(fabs (* -1 (/ (+ x (* -1 y)) y))) |
(fabs (* -1 (/ (+ x (* -1 y)) y))) |
(fabs (* -1 (/ (+ x (* -1 y)) y))) |
1 |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
y |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* (fabs (neg (+ x (* -1 y)))) (fabs (/ -1 y))) |
(* (fabs (neg (+ x (* -1 y)))) (fabs (/ -1 y))) |
(* (fabs (neg (+ x (* -1 y)))) (fabs (/ -1 y))) |
(* (fabs (neg (+ x (* -1 y)))) (fabs (/ -1 y))) |
(fabs (neg (+ x (* -1 y)))) |
(fabs (neg (+ x (* -1 y)))) |
(fabs (neg (+ x (* -1 y)))) |
(fabs (neg (+ x (* -1 y)))) |
(fabs (/ -1 y)) |
(fabs (/ -1 y)) |
(fabs (/ -1 y)) |
(fabs (/ -1 y)) |
(/ 1 (fabs (* -1 (/ y (+ x (* -1 y)))))) |
(/ 1 (fabs (* -1 (/ y (+ x (* -1 y)))))) |
(/ 1 (fabs (* -1 (/ y (+ x (* -1 y)))))) |
(/ 1 (fabs (* -1 (/ y (+ x (* -1 y)))))) |
(fabs (* -1 (/ y (+ x (* -1 y))))) |
(fabs (* -1 (/ y (+ x (* -1 y))))) |
(fabs (* -1 (/ y (+ x (* -1 y))))) |
(fabs (* -1 (/ y (+ x (* -1 y))))) |
1 |
(+ 1 (/ x y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) |
0 |
0 |
0 |
0 |
(/ 1 (fabs (* -1 (/ y (+ x (* -1 y)))))) |
(/ 1 (fabs (* -1 (/ y (+ x (* -1 y)))))) |
(/ 1 (fabs (* -1 (/ y (+ x (* -1 y)))))) |
(/ 1 (fabs (* -1 (/ y (+ x (* -1 y)))))) |
(* (fabs y) (fabs (* -1 (/ y (+ x (* -1 y)))))) |
(* (fabs y) (fabs (* -1 (/ y (+ x (* -1 y)))))) |
(* (fabs y) (fabs (* -1 (/ y (+ x (* -1 y)))))) |
(* (fabs y) (fabs (* -1 (/ y (+ x (* -1 y)))))) |
(fabs y) |
(fabs y) |
(fabs y) |
(fabs y) |
-1 |
(- (* -1 (/ x y)) 1) |
(- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) |
(/ 1 (fabs (/ y (+ x (* -1 y))))) |
(/ 1 (fabs (/ y (+ x (* -1 y))))) |
(/ 1 (fabs (/ y (+ x (* -1 y))))) |
(/ 1 (fabs (/ y (+ x (* -1 y))))) |
(fabs (/ y (+ x (* -1 y)))) |
(fabs (/ y (+ x (* -1 y)))) |
(fabs (/ y (+ x (* -1 y)))) |
(fabs (/ y (+ x (* -1 y)))) |
(/ -1 y) |
(* -1 (/ (+ 1 (/ x y)) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) y)) |
(fabs y) |
(fabs y) |
(fabs y) |
(fabs y) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
1 |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
y |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(* (fabs (- y x)) (fabs (/ -1 y))) |
(* (fabs (- y x)) (fabs (/ -1 y))) |
(* (fabs (- y x)) (fabs (/ -1 y))) |
(* (fabs (- y x)) (fabs (/ -1 y))) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(/ 1 (fabs (/ y (- y x)))) |
(/ 1 (fabs (/ y (- y x)))) |
(/ 1 (fabs (/ y (- y x)))) |
(/ 1 (fabs (/ y (- y x)))) |
(fabs (/ y (- y x))) |
(fabs (/ y (- y x))) |
(fabs (/ y (- y x))) |
(fabs (/ y (- y x))) |
1 |
(+ 1 (/ x y)) |
(+ 1 (* x (+ (/ 1 y) (/ x (pow y 2))))) |
(+ 1 (* x (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)))) |
0 |
0 |
0 |
0 |
(/ 1 (fabs (/ y (- y x)))) |
(/ 1 (fabs (/ y (- y x)))) |
(/ 1 (fabs (/ y (- y x)))) |
(/ 1 (fabs (/ y (- y x)))) |
(* (fabs y) (fabs (/ y (- y x)))) |
(* (fabs y) (fabs (/ y (- y x)))) |
(* (fabs y) (fabs (/ y (- y x)))) |
(* (fabs y) (fabs (/ y (- y x)))) |
(fabs y) |
(fabs y) |
(fabs y) |
(fabs y) |
-1 |
(- (* -1 (/ x y)) 1) |
(- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1) |
(- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1) |
(/ 1 (fabs (/ y (- x y)))) |
(/ 1 (fabs (/ y (- x y)))) |
(/ 1 (fabs (/ y (- x y)))) |
(/ 1 (fabs (/ y (- x y)))) |
(fabs (/ y (- x y))) |
(fabs (/ y (- x y))) |
(fabs (/ y (- x y))) |
(fabs (/ y (- x y))) |
(/ -1 y) |
(- (* -1 (/ x (pow y 2))) (/ 1 y)) |
(- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(* -1 (/ x y)) |
(* x (- (/ 1 x) (/ 1 y))) |
(* x (- (/ 1 x) (/ 1 y))) |
(* x (- (/ 1 x) (/ 1 y))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* (fabs (- y x)) (fabs (/ -1 y))) |
(* (fabs (- y x)) (fabs (/ -1 y))) |
(* (fabs (- y x)) (fabs (/ -1 y))) |
(* (fabs (- y x)) (fabs (/ -1 y))) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(fabs (- y x)) |
(/ 1 (fabs (/ y (- y x)))) |
(/ 1 (fabs (/ y (- y x)))) |
(/ 1 (fabs (/ y (- y x)))) |
(/ 1 (fabs (/ y (- y x)))) |
(fabs (/ y (- y x))) |
(fabs (/ y (- y x))) |
(fabs (/ y (- y x))) |
(fabs (/ y (- y x))) |
(* -1 (/ y x)) |
(/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow x 2)))) (/ (pow y 2) x)) x) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow x 3)))) (+ (/ (pow y 2) x) (/ (pow y 3) (pow x 2)))) x) |
0 |
0 |
0 |
0 |
(/ 1 (fabs (/ y (- y x)))) |
(/ 1 (fabs (/ y (- y x)))) |
(/ 1 (fabs (/ y (- y x)))) |
(/ 1 (fabs (/ y (- y x)))) |
(* (fabs y) (fabs (/ y (- y x)))) |
(* (fabs y) (fabs (/ y (- y x)))) |
(* (fabs y) (fabs (/ y (- y x)))) |
(* (fabs y) (fabs (/ y (- y x)))) |
(fabs y) |
(fabs y) |
(fabs y) |
(fabs y) |
(/ y x) |
(/ (+ y (/ (pow y 2) x)) x) |
(/ (- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) x) |
(/ (- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2))))) x) |
(/ 1 (fabs (/ y (- x y)))) |
(/ 1 (fabs (/ y (- x y)))) |
(/ 1 (fabs (/ y (- x y)))) |
(/ 1 (fabs (/ y (- x y)))) |
(fabs (/ y (- x y))) |
(fabs (/ y (- x y))) |
(fabs (/ y (- x y))) |
(fabs (/ y (- x y))) |
(/ 1 x) |
(/ (+ 1 (/ y x)) x) |
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) x) |
(/ (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x) |
(fabs (/ (+ y (* -1 x)) y)) |
(fabs (/ (+ y (* -1 x)) y)) |
(fabs (/ (+ y (* -1 x)) y)) |
(fabs (/ (+ y (* -1 x)) y)) |
(* -1 (/ x y)) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* (fabs (+ y (* -1 x))) (fabs (/ -1 y))) |
(* (fabs (+ y (* -1 x))) (fabs (/ -1 y))) |
(* (fabs (+ y (* -1 x))) (fabs (/ -1 y))) |
(* (fabs (+ y (* -1 x))) (fabs (/ -1 y))) |
(fabs (+ y (* -1 x))) |
(fabs (+ y (* -1 x))) |
(fabs (+ y (* -1 x))) |
(fabs (+ y (* -1 x))) |
(/ 1 (fabs (/ y (+ y (* -1 x))))) |
(/ 1 (fabs (/ y (+ y (* -1 x))))) |
(/ 1 (fabs (/ y (+ y (* -1 x))))) |
(/ 1 (fabs (/ y (+ y (* -1 x))))) |
(fabs (/ y (+ y (* -1 x)))) |
(fabs (/ y (+ y (* -1 x)))) |
(fabs (/ y (+ y (* -1 x)))) |
(fabs (/ y (+ y (* -1 x)))) |
(* -1 (/ y x)) |
(* -1 (/ (+ y (/ (pow y 2) x)) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (* -1 (pow y 3))) x)) (pow y 2)) x))) x)) |
0 |
0 |
0 |
0 |
(/ 1 (fabs (/ y (+ y (* -1 x))))) |
(/ 1 (fabs (/ y (+ y (* -1 x))))) |
(/ 1 (fabs (/ y (+ y (* -1 x))))) |
(/ 1 (fabs (/ y (+ y (* -1 x))))) |
(* (fabs y) (fabs (/ y (+ y (* -1 x))))) |
(* (fabs y) (fabs (/ y (+ y (* -1 x))))) |
(* (fabs y) (fabs (/ y (+ y (* -1 x))))) |
(* (fabs y) (fabs (/ y (+ y (* -1 x))))) |
(fabs y) |
(fabs y) |
(fabs y) |
(fabs y) |
(/ y x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x)) |
(/ 1 (fabs (* -1 (/ y (+ y (* -1 x)))))) |
(/ 1 (fabs (* -1 (/ y (+ y (* -1 x)))))) |
(/ 1 (fabs (* -1 (/ y (+ y (* -1 x)))))) |
(/ 1 (fabs (* -1 (/ y (+ y (* -1 x)))))) |
(fabs (* -1 (/ y (+ y (* -1 x))))) |
(fabs (* -1 (/ y (+ y (* -1 x))))) |
(fabs (* -1 (/ y (+ y (* -1 x))))) |
(fabs (* -1 (/ y (+ y (* -1 x))))) |
(/ 1 x) |
(* -1 (/ (- (* -1 (/ y x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) x)) |
| Outputs |
|---|
(fabs (/ (- y x) y)) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (/ (- y x) y)) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (/ (- y x) y)) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (/ (- y x) y)) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(/ (+ y (* -1 x)) y) |
(/.f64 (-.f64 y x) y) |
(/ (+ y (* -1 x)) y) |
(/.f64 (-.f64 y x) y) |
(/ (+ y (* -1 x)) y) |
(/.f64 (-.f64 y x) y) |
(* -1 x) |
(neg.f64 x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(* (fabs (- y x)) (fabs (/ -1 y))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(* (fabs (- y x)) (fabs (/ -1 y))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(* (fabs (- y x)) (fabs (/ -1 y))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(* (fabs (- y x)) (fabs (/ -1 y))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 x y)) |
(fabs (/ -1 y)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 y)) |
(fabs (/ -1 y)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 y)) |
(fabs (/ -1 y)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 y)) |
(fabs (/ -1 y)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 y)) |
(/ 1 (fabs (/ y (- y x)))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(/ 1 (fabs (/ y (- y x)))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(/ 1 (fabs (/ y (- y x)))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(/ 1 (fabs (/ y (- y x)))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (/ y (- y x))) |
(fabs.f64 (/.f64 y (-.f64 y x))) |
(fabs (/ y (- y x))) |
(fabs.f64 (/.f64 y (-.f64 y x))) |
(fabs (/ y (- y x))) |
(fabs.f64 (/.f64 y (-.f64 y x))) |
(fabs (/ y (- y x))) |
(fabs.f64 (/.f64 y (-.f64 y x))) |
(* -1 (/ y x)) |
(/.f64 y (neg.f64 x)) |
(* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x) y) |
(* y (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y) |
(* y (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))) |
(*.f64 (fma.f64 (*.f64 y y) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x)) y) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
(/ 1 (fabs (/ y (- y x)))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(/ 1 (fabs (/ y (- y x)))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(/ 1 (fabs (/ y (- y x)))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(/ 1 (fabs (/ y (- y x)))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(* (fabs y) (fabs (/ y (- y x)))) |
(/.f64 (*.f64 y y) (fabs.f64 (-.f64 x y))) |
(* (fabs y) (fabs (/ y (- y x)))) |
(/.f64 (*.f64 y y) (fabs.f64 (-.f64 x y))) |
(* (fabs y) (fabs (/ y (- y x)))) |
(/.f64 (*.f64 y y) (fabs.f64 (-.f64 x y))) |
(* (fabs y) (fabs (/ y (- y x)))) |
(/.f64 (*.f64 y y) (fabs.f64 (-.f64 x y))) |
(fabs y) |
(fabs.f64 y) |
(fabs y) |
(fabs.f64 y) |
(fabs y) |
(fabs.f64 y) |
(fabs y) |
(fabs.f64 y) |
(/ y x) |
(/.f64 y x) |
(* y (+ (/ 1 x) (/ y (pow x 2)))) |
(/.f64 (fma.f64 (/.f64 y x) y y) x) |
(* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))) |
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) x) |
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) y (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x)) y) |
(/ 1 (fabs (/ y (- x y)))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(/ 1 (fabs (/ y (- x y)))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(/ 1 (fabs (/ y (- x y)))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(/ 1 (fabs (/ y (- x y)))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (/ y (- x y))) |
(fabs.f64 (/.f64 y (-.f64 y x))) |
(fabs (/ y (- x y))) |
(fabs.f64 (/.f64 y (-.f64 y x))) |
(fabs (/ y (- x y))) |
(fabs.f64 (/.f64 y (-.f64 y x))) |
(fabs (/ y (- x y))) |
(fabs.f64 (/.f64 y (-.f64 y x))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (/ 1 x) (/ y (pow x 2))) |
(/.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x) |
(+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)) |
(/.f64 (fma.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 y x) #s(literal 1 binary64)) x) |
(+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) y (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x)) |
(fabs y) |
(fabs.f64 y) |
(fabs y) |
(fabs.f64 y) |
(fabs y) |
(fabs.f64 y) |
(fabs y) |
(fabs.f64 y) |
(fabs (/ (- y x) y)) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (/ (- y x) y)) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (/ (- y x) y)) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (/ (- y x) y)) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ x y))) |
(/.f64 (-.f64 y x) y) |
(+ 1 (* -1 (/ x y))) |
(/.f64 (-.f64 y x) y) |
(+ 1 (* -1 (/ x y))) |
(/.f64 (-.f64 y x) y) |
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) |
(* (fabs (- y x)) (fabs (/ -1 y))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(* (fabs (- y x)) (fabs (/ -1 y))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(* (fabs (- y x)) (fabs (/ -1 y))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(* (fabs (- y x)) (fabs (/ -1 y))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 x y)) |
(fabs (- y x)) |
(fabs.f64 (-.f64 x y)) |
(fabs (/ -1 y)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 y)) |
(fabs (/ -1 y)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 y)) |
(fabs (/ -1 y)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 y)) |
(fabs (/ -1 y)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 y)) |
(/ 1 (fabs (/ y (- y x)))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(/ 1 (fabs (/ y (- y x)))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(/ 1 (fabs (/ y (- y x)))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(/ 1 (fabs (/ y (- y x)))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (/ y (- y x))) |
(fabs.f64 (/.f64 y (-.f64 y x))) |
(fabs (/ y (- y x))) |
(fabs.f64 (/.f64 y (-.f64 y x))) |
(fabs (/ y (- y x))) |
(fabs.f64 (/.f64 y (-.f64 y x))) |
(fabs (/ y (- y x))) |
(fabs.f64 (/.f64 y (-.f64 y x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ x y)) |
(-.f64 (/.f64 x y) #s(literal -1 binary64)) |
(- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) |
(fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) |
(fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
(/ 1 (fabs (/ y (- y x)))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(/ 1 (fabs (/ y (- y x)))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(/ 1 (fabs (/ y (- y x)))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(/ 1 (fabs (/ y (- y x)))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(* (fabs y) (fabs (/ y (- y x)))) |
(/.f64 (*.f64 y y) (fabs.f64 (-.f64 x y))) |
(* (fabs y) (fabs (/ y (- y x)))) |
(/.f64 (*.f64 y y) (fabs.f64 (-.f64 x y))) |
(* (fabs y) (fabs (/ y (- y x)))) |
(/.f64 (*.f64 y y) (fabs.f64 (-.f64 x y))) |
(* (fabs y) (fabs (/ y (- y x)))) |
(/.f64 (*.f64 y y) (fabs.f64 (-.f64 x y))) |
(fabs y) |
(fabs.f64 y) |
(fabs y) |
(fabs.f64 y) |
(fabs y) |
(fabs.f64 y) |
(fabs y) |
(fabs.f64 y) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ x y)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal -1 binary64)) |
(- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal -1 binary64)) y) x #s(literal -1 binary64)) |
(/ 1 (fabs (/ y (- x y)))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(/ 1 (fabs (/ y (- x y)))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(/ 1 (fabs (/ y (- x y)))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(/ 1 (fabs (/ y (- x y)))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (/ y (- x y))) |
(fabs.f64 (/.f64 y (-.f64 y x))) |
(fabs (/ y (- x y))) |
(fabs.f64 (/.f64 y (-.f64 y x))) |
(fabs (/ y (- x y))) |
(fabs.f64 (/.f64 y (-.f64 y x))) |
(fabs (/ y (- x y))) |
(fabs.f64 (/.f64 y (-.f64 y x))) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ (- (* -1 (/ x y)) 1) y) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) |
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) y) |
(/.f64 (fma.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal -1 binary64)) y) |
(/ (- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) y) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal -1 binary64)) y) x #s(literal -1 binary64)) y) |
(fabs y) |
(fabs.f64 y) |
(fabs y) |
(fabs.f64 y) |
(fabs y) |
(fabs.f64 y) |
(fabs y) |
(fabs.f64 y) |
(fabs (* -1 (/ (+ x (* -1 y)) y))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (* -1 (/ (+ x (* -1 y)) y))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (* -1 (/ (+ x (* -1 y)) y))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (* -1 (/ (+ x (* -1 y)) y))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ x y))) |
(/.f64 (-.f64 y x) y) |
(+ 1 (* -1 (/ x y))) |
(/.f64 (-.f64 y x) y) |
(+ 1 (* -1 (/ x y))) |
(/.f64 (-.f64 y x) y) |
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) |
(* (fabs (neg (+ x (* -1 y)))) (fabs (/ -1 y))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(* (fabs (neg (+ x (* -1 y)))) (fabs (/ -1 y))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(* (fabs (neg (+ x (* -1 y)))) (fabs (/ -1 y))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(* (fabs (neg (+ x (* -1 y)))) (fabs (/ -1 y))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (neg (+ x (* -1 y)))) |
(fabs.f64 (-.f64 x y)) |
(fabs (neg (+ x (* -1 y)))) |
(fabs.f64 (-.f64 x y)) |
(fabs (neg (+ x (* -1 y)))) |
(fabs.f64 (-.f64 x y)) |
(fabs (neg (+ x (* -1 y)))) |
(fabs.f64 (-.f64 x y)) |
(fabs (/ -1 y)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 y)) |
(fabs (/ -1 y)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 y)) |
(fabs (/ -1 y)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 y)) |
(fabs (/ -1 y)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 y)) |
(/ 1 (fabs (* -1 (/ y (+ x (* -1 y)))))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(/ 1 (fabs (* -1 (/ y (+ x (* -1 y)))))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(/ 1 (fabs (* -1 (/ y (+ x (* -1 y)))))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(/ 1 (fabs (* -1 (/ y (+ x (* -1 y)))))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (* -1 (/ y (+ x (* -1 y))))) |
(fabs.f64 (/.f64 y (-.f64 y x))) |
(fabs (* -1 (/ y (+ x (* -1 y))))) |
(fabs.f64 (/.f64 y (-.f64 y x))) |
(fabs (* -1 (/ y (+ x (* -1 y))))) |
(fabs.f64 (/.f64 y (-.f64 y x))) |
(fabs (* -1 (/ y (+ x (* -1 y))))) |
(fabs.f64 (/.f64 y (-.f64 y x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ x y)) |
(-.f64 (/.f64 x y) #s(literal -1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) |
(fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) |
(fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
(/ 1 (fabs (* -1 (/ y (+ x (* -1 y)))))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(/ 1 (fabs (* -1 (/ y (+ x (* -1 y)))))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(/ 1 (fabs (* -1 (/ y (+ x (* -1 y)))))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(/ 1 (fabs (* -1 (/ y (+ x (* -1 y)))))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(* (fabs y) (fabs (* -1 (/ y (+ x (* -1 y)))))) |
(/.f64 (*.f64 y y) (fabs.f64 (-.f64 x y))) |
(* (fabs y) (fabs (* -1 (/ y (+ x (* -1 y)))))) |
(/.f64 (*.f64 y y) (fabs.f64 (-.f64 x y))) |
(* (fabs y) (fabs (* -1 (/ y (+ x (* -1 y)))))) |
(/.f64 (*.f64 y y) (fabs.f64 (-.f64 x y))) |
(* (fabs y) (fabs (* -1 (/ y (+ x (* -1 y)))))) |
(/.f64 (*.f64 y y) (fabs.f64 (-.f64 x y))) |
(fabs y) |
(fabs.f64 y) |
(fabs y) |
(fabs.f64 y) |
(fabs y) |
(fabs.f64 y) |
(fabs y) |
(fabs.f64 y) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ x y)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
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(/.f64 (fma.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 y x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) x) #s(literal -1 binary64)) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 144 |
| 0 | 51 | 97 |
| 1 | 194 | 87 |
| 2 | 1176 | 84 |
| 0 | 9228 | 84 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fabs.f64 (/.f64 (-.f64 y x) y)) |
(/.f64 (-.f64 y x) y) |
(-.f64 y x) |
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) |
(fabs.f64 (-.f64 y x)) |
(fabs.f64 (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) |
(fabs.f64 (/.f64 y (-.f64 y x))) |
(/.f64 y (-.f64 y x)) |
(*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) (*.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64))) (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x)))))) |
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) |
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) (*.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y))) |
(fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) |
(pow.f64 (-.f64 x y) #s(literal -1 binary64)) |
(fabs.f64 y) |
| Outputs |
|---|
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Compiled 141 772 to 9 537 computations (93.3% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 5 484 | 4 | 5 488 |
| Fresh | 0 | 0 | 0 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 5 489 | 4 | 5 493 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.6% | (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y))) |
| ▶ | 52.8% | (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) |
| ▶ | 100.0% | (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
| ▶ | 49.4% | (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) |
Compiled 24 to 25 computations (-4.2% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y) | |
| cost-diff | 0 | (fabs.f64 (*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y))) | |
| 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)) y) | |
| cost-diff | 0 | (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 x y)) | |
| cost-diff | 0 | (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) | |
| cost-diff | 0 | #s(approx (/ (- y x) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 112 |
| 0 | 33 | 112 |
| 1 | 53 | 112 |
| 2 | 73 | 112 |
| 3 | 101 | 112 |
| 4 | 147 | 112 |
| 5 | 231 | 112 |
| 6 | 323 | 112 |
| 7 | 573 | 112 |
| 8 | 987 | 112 |
| 9 | 1151 | 112 |
| 10 | 1225 | 112 |
| 11 | 1319 | 112 |
| 12 | 1335 | 112 |
| 0 | 1335 | 112 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) |
#s(approx (/ (- y x) y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
#s(literal 1 binary64) |
(/.f64 x y) |
x |
y |
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) |
(/.f64 #s(approx (- y x) (neg.f64 x)) y) |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
x |
y |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y))) |
#s(literal 1 binary64) |
(fabs.f64 (*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y)) |
(*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y) |
#s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
y |
| Outputs |
|---|
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) |
#s(approx (/ (- y x) y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 (-.f64 y x) y) |
#s(literal 1 binary64) |
(/.f64 x y) |
x |
y |
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) |
(/.f64 #s(approx (- y x) (neg.f64 x)) y) |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
x |
y |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y))) |
#s(literal 1 binary64) |
(fabs.f64 (*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y)) |
(*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y) |
#s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
y |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fabs.f64 (*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y)) | |
| accuracy | 0.10546875 | (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y))) | |
| accuracy | 0.1875 | (*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y) | |
| accuracy | 30.813269667252182 | #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0 | (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) | |
| accuracy | 0.0234375 | (/.f64 #s(approx (- y x) (neg.f64 x)) y) | |
| accuracy | 30.82243649009721 | #s(approx (- y x) (neg.f64 x)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) (/.f64 x y)) | |
| accuracy | 0 | (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) | |
| accuracy | 33.108516099086714 | #s(approx (/ (- y x) y) #s(literal 1 binary64)) |
| 55.0ms | 256× | 0 | valid |
Compiled 85 to 19 computations (77.6% saved)
ival-pow: 24.0ms (54.8% of total)ival-div: 8.0ms (18.3% of total)ival-fabs: 4.0ms (9.1% of total)ival-sub: 4.0ms (9.1% of total)ival-mult: 2.0ms (4.6% of total)ival-neg: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (patch (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<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 (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y))) (patch (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y))) #<representation binary64>) () ()) |
#s(alt (fabs.f64 (*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y)) (patch (fabs.f64 (*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y) (patch (*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt #s(approx (/ (- y x) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y x) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- 1 (/ x y))) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- 1 (/ x y))) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- 1 (/ x y))) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (fabs (- 1 (/ x y))) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) y) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) y) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) y) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (patch (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (patch (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (patch (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (fabs (/ (- y x) y)) (taylor 0 y) (#s(alt (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) (patch (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 x)) y) (taylor 0 y) (#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- y x) (taylor 0 y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- y x) (taylor 0 y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
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#s(alt (/ y x) (taylor -inf x) (#s(alt (*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y) (patch (*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) (taylor -inf x) (#s(alt (*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y) (patch (*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x)) (taylor -inf x) (#s(alt (*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y) (patch (*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x)) (taylor -inf x) (#s(alt (*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y) (patch (*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ y x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((fabs (/ (- y x) y)) (/ (- y x) y) (fabs (- 1 (/ x y))) (- 1 (/ x y)) (/ x y) (fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (neg x) (/ 1 (fabs (* (pow (- x y) -1) y))) (fabs (* (pow (- x y) -1) y)) (* (pow (- x y) -1) y) (pow (- x y) -1)) |
| 1.0ms | x | @ | -inf | ((fabs (/ (- y x) y)) (/ (- y x) y) (fabs (- 1 (/ x y))) (- 1 (/ x y)) (/ x y) (fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (neg x) (/ 1 (fabs (* (pow (- x y) -1) y))) (fabs (* (pow (- x y) -1) y)) (* (pow (- x y) -1) y) (pow (- x y) -1)) |
| 1.0ms | y | @ | -inf | ((fabs (/ (- y x) y)) (/ (- y x) y) (fabs (- 1 (/ x y))) (- 1 (/ x y)) (/ x y) (fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (neg x) (/ 1 (fabs (* (pow (- x y) -1) y))) (fabs (* (pow (- x y) -1) y)) (* (pow (- x y) -1) y) (pow (- x y) -1)) |
| 1.0ms | y | @ | inf | ((fabs (/ (- y x) y)) (/ (- y x) y) (fabs (- 1 (/ x y))) (- 1 (/ x y)) (/ x y) (fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (neg x) (/ 1 (fabs (* (pow (- x y) -1) y))) (fabs (* (pow (- x y) -1) y)) (* (pow (- x y) -1) y) (pow (- x y) -1)) |
| 1.0ms | y | @ | 0 | ((fabs (/ (- y x) y)) (/ (- y x) y) (fabs (- 1 (/ x y))) (- 1 (/ x y)) (/ x y) (fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (neg x) (/ 1 (fabs (* (pow (- x y) -1) y))) (fabs (* (pow (- x y) -1) y)) (* (pow (- x y) -1) y) (pow (- x y) -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 212 | 1820 |
| 1 | 622 | 1783 |
| 2 | 1649 | 1712 |
| 3 | 5596 | 1702 |
| 0 | 8323 | 1664 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(* -1 (/ x y)) |
(/ (+ y (* -1 x)) y) |
(/ (+ y (* -1 x)) y) |
(/ (+ y (* -1 x)) y) |
(fabs (- 1 (/ x y))) |
(fabs (- 1 (/ x y))) |
(fabs (- 1 (/ x y))) |
(fabs (- 1 (/ x y))) |
(* -1 (/ x y)) |
(/ (- y x) y) |
(/ (- y x) y) |
(/ (- y x) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(* -1 (/ x y)) |
(/ (+ y (* -1 x)) y) |
(/ (+ y (* -1 x)) y) |
(/ (+ y (* -1 x)) y) |
(* -1 x) |
(- y x) |
(- y x) |
(- y x) |
(/ 1 (fabs (/ y (- x y)))) |
(/ 1 (fabs (/ y (- x y)))) |
(/ 1 (fabs (/ y (- x y)))) |
(/ 1 (fabs (/ y (- x y)))) |
(fabs (/ y (- x y))) |
(fabs (/ y (- x y))) |
(fabs (/ y (- x y))) |
(fabs (/ y (- x y))) |
(/ y x) |
(* y (+ (/ 1 x) (/ y (pow x 2)))) |
(* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))) |
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))) |
(/ 1 x) |
(+ (/ 1 x) (/ y (pow x 2))) |
(+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)) |
(+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
1 |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(fabs (- 1 (/ x y))) |
(fabs (- 1 (/ x y))) |
(fabs (- 1 (/ x y))) |
(fabs (- 1 (/ x y))) |
1 |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
1 |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(/ 1 (fabs (/ y (- x y)))) |
(/ 1 (fabs (/ y (- x y)))) |
(/ 1 (fabs (/ y (- x y)))) |
(/ 1 (fabs (/ y (- x y)))) |
(fabs (/ y (- x y))) |
(fabs (/ y (- x y))) |
(fabs (/ y (- x y))) |
(fabs (/ y (- x y))) |
-1 |
(- (* -1 (/ x y)) 1) |
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) |
(- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) |
(/ -1 y) |
(/ (- (* -1 (/ x y)) 1) y) |
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) y) |
(/ (- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) y) |
(fabs (* -1 (/ (+ x (* -1 y)) y))) |
(fabs (* -1 (/ (+ x (* -1 y)) y))) |
(fabs (* -1 (/ (+ x (* -1 y)) y))) |
(fabs (* -1 (/ (+ x (* -1 y)) y))) |
1 |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(fabs (- 1 (/ x y))) |
(fabs (- 1 (/ x y))) |
(fabs (- 1 (/ x y))) |
(fabs (- 1 (/ x y))) |
1 |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(fabs (* -1 (/ (+ x (* -1 y)) y))) |
(fabs (* -1 (/ (+ x (* -1 y)) y))) |
(fabs (* -1 (/ (+ x (* -1 y)) y))) |
(fabs (* -1 (/ (+ x (* -1 y)) y))) |
1 |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
y |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(/ 1 (fabs (/ y (+ x (* -1 y))))) |
(/ 1 (fabs (/ y (+ x (* -1 y))))) |
(/ 1 (fabs (/ y (+ x (* -1 y))))) |
(/ 1 (fabs (/ y (+ x (* -1 y))))) |
(fabs (/ y (+ x (* -1 y)))) |
(fabs (/ y (+ x (* -1 y)))) |
(fabs (/ y (+ x (* -1 y)))) |
(fabs (/ y (+ x (* -1 y)))) |
-1 |
(- (* -1 (/ x y)) 1) |
(- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) |
(/ -1 y) |
(* -1 (/ (+ 1 (/ x y)) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) y)) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
1 |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(fabs (- 1 (/ x y))) |
(fabs (- 1 (/ x y))) |
(fabs (- 1 (/ x y))) |
(fabs (- 1 (/ x y))) |
1 |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
1 |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
(+ 1 (* -1 (/ x y))) |
y |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ 1 (fabs (/ y (- x y)))) |
(/ 1 (fabs (/ y (- x y)))) |
(/ 1 (fabs (/ y (- x y)))) |
(/ 1 (fabs (/ y (- x y)))) |
(fabs (/ y (- x y))) |
(fabs (/ y (- x y))) |
(fabs (/ y (- x y))) |
(fabs (/ y (- x y))) |
-1 |
(- (* -1 (/ x y)) 1) |
(- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1) |
(- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1) |
(/ -1 y) |
(- (* -1 (/ x (pow y 2))) (/ 1 y)) |
(- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(* -1 (/ x y)) |
(* x (- (/ 1 x) (/ 1 y))) |
(* x (- (/ 1 x) (/ 1 y))) |
(* x (- (/ 1 x) (/ 1 y))) |
(fabs (- 1 (/ x y))) |
(fabs (- 1 (/ x y))) |
(fabs (- 1 (/ x y))) |
(fabs (- 1 (/ x y))) |
(* -1 (/ x y)) |
(* x (- (/ 1 x) (/ 1 y))) |
(* x (- (/ 1 x) (/ 1 y))) |
(* x (- (/ 1 x) (/ 1 y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(fabs (/ (- y x) y)) |
(* -1 (/ x y)) |
(* x (- (/ 1 x) (/ 1 y))) |
(* x (- (/ 1 x) (/ 1 y))) |
(* x (- (/ 1 x) (/ 1 y))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ 1 (fabs (/ y (- x y)))) |
(/ 1 (fabs (/ y (- x y)))) |
(/ 1 (fabs (/ y (- x y)))) |
(/ 1 (fabs (/ y (- x y)))) |
(fabs (/ y (- x y))) |
(fabs (/ y (- x y))) |
(fabs (/ y (- x y))) |
(fabs (/ y (- x y))) |
(/ y x) |
(/ (+ y (/ (pow y 2) x)) x) |
(/ (- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) x) |
(/ (- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2))))) x) |
(/ 1 x) |
(/ (+ 1 (/ y x)) x) |
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) x) |
(/ (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x) |
(fabs (/ (+ y (* -1 x)) y)) |
(fabs (/ (+ y (* -1 x)) y)) |
(fabs (/ (+ y (* -1 x)) y)) |
(fabs (/ (+ y (* -1 x)) y)) |
(* -1 (/ x y)) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(fabs (+ 1 (* -1 (/ x y)))) |
(fabs (+ 1 (* -1 (/ x y)))) |
(fabs (+ 1 (* -1 (/ x y)))) |
(fabs (+ 1 (* -1 (/ x y)))) |
(* -1 (/ x y)) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(fabs (/ (+ y (* -1 x)) y)) |
(fabs (/ (+ y (* -1 x)) y)) |
(fabs (/ (+ y (* -1 x)) y)) |
(fabs (/ (+ y (* -1 x)) y)) |
(* -1 (/ x y)) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(* -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 (fabs (* -1 (/ y (+ y (* -1 x)))))) |
(/ 1 (fabs (* -1 (/ y (+ y (* -1 x)))))) |
(/ 1 (fabs (* -1 (/ y (+ y (* -1 x)))))) |
(/ 1 (fabs (* -1 (/ y (+ y (* -1 x)))))) |
(fabs (* -1 (/ y (+ y (* -1 x))))) |
(fabs (* -1 (/ y (+ y (* -1 x))))) |
(fabs (* -1 (/ y (+ y (* -1 x))))) |
(fabs (* -1 (/ y (+ y (* -1 x))))) |
(/ y x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x)) |
(/ 1 x) |
(* -1 (/ (- (* -1 (/ y x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) x)) |
| Outputs |
|---|
(fabs (/ (- y x) y)) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (/ (- y x) y)) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (/ (- y x) y)) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (/ (- y x) y)) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(/ (+ y (* -1 x)) y) |
(/.f64 (-.f64 y x) y) |
(/ (+ y (* -1 x)) y) |
(/.f64 (-.f64 y x) y) |
(/ (+ y (* -1 x)) y) |
(/.f64 (-.f64 y x) y) |
(fabs (- 1 (/ x y))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (- 1 (/ x y))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (- 1 (/ x y))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (- 1 (/ x y))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(/ (- y x) y) |
(/.f64 (-.f64 y x) y) |
(/ (- y x) y) |
(/.f64 (-.f64 y x) y) |
(/ (- y x) y) |
(/.f64 (-.f64 y x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(fabs (/ (- y x) y)) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (/ (- y x) y)) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (/ (- y x) y)) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (/ (- y x) y)) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(/ (+ y (* -1 x)) y) |
(/.f64 (-.f64 y x) y) |
(/ (+ y (* -1 x)) y) |
(/.f64 (-.f64 y x) y) |
(/ (+ y (* -1 x)) y) |
(/.f64 (-.f64 y x) y) |
(* -1 x) |
(neg.f64 x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(/ 1 (fabs (/ y (- x y)))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(/ 1 (fabs (/ y (- x y)))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(/ 1 (fabs (/ y (- x y)))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(/ 1 (fabs (/ y (- x y)))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (/ y (- x y))) |
(fabs.f64 (/.f64 y (-.f64 x y))) |
(fabs (/ y (- x y))) |
(fabs.f64 (/.f64 y (-.f64 x y))) |
(fabs (/ y (- x y))) |
(fabs.f64 (/.f64 y (-.f64 x y))) |
(fabs (/ y (- x y))) |
(fabs.f64 (/.f64 y (-.f64 x y))) |
(/ y x) |
(/.f64 y x) |
(* y (+ (/ 1 x) (/ y (pow x 2)))) |
(/.f64 (fma.f64 (/.f64 y x) y y) x) |
(* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))) |
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) x) |
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) y (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x)) y) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (/ 1 x) (/ y (pow x 2))) |
(/.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x) |
(+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x) y #s(literal 1 binary64)) x) |
(+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) y (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x)) |
(fabs (/ (- y x) y)) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (/ (- y x) y)) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (/ (- y x) y)) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (/ (- y x) y)) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ x y))) |
(/.f64 (-.f64 y x) y) |
(+ 1 (* -1 (/ x y))) |
(/.f64 (-.f64 y x) y) |
(+ 1 (* -1 (/ x y))) |
(/.f64 (-.f64 y x) y) |
(fabs (- 1 (/ x y))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (- 1 (/ x y))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (- 1 (/ x y))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (- 1 (/ x y))) |
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#s(literal 1 binary64) |
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(/ x y) |
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(fabs (/ (- y x) y)) |
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#s(literal 1 binary64) |
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#s(literal -1 binary64) |
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(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 x y) x x) y)) |
(- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (/.f64 (fma.f64 (/.f64 x y) x x) y) x) y)) |
(/ -1 y) |
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(/ (- (* -1 (/ x y)) 1) y) |
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(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) y) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 x y) x x) y)) y) |
(/ (- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) y) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (/.f64 (fma.f64 (/.f64 x y) x x) y) x) y)) y) |
(fabs (* -1 (/ (+ x (* -1 y)) y))) |
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(fabs.f64 (/.f64 (-.f64 x y) y)) |
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(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (* -1 (/ (+ x (* -1 y)) y))) |
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(+ 1 (* -1 (/ x y))) |
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(fabs (- 1 (/ x y))) |
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(fabs (- 1 (/ x y))) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (- 1 (/ x y))) |
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#s(literal 1 binary64) |
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(/ x y) |
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#s(literal 1 binary64) |
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#s(literal -1 binary64) |
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(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 x y) x x) y)) |
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(/ -1 y) |
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(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) y)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 x y) x x) y)) y) |
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(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (/.f64 (fma.f64 (/.f64 x y) x x) y) x) y)) y) |
(fabs (/ (- y x) y)) |
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(fabs.f64 (/.f64 (-.f64 x y) y)) |
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(fabs (/ (- y x) y)) |
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(fabs.f64 (/.f64 (-.f64 x y) y)) |
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(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (- 1 (/ x y))) |
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#s(literal 1 binary64) |
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(/.f64 x y) |
(/ x y) |
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(/ x y) |
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(/ x y) |
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(fabs (/ (- y x) y)) |
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(fabs (/ (- y x) y)) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (/ (- y x) y)) |
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#s(literal 1 binary64) |
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(fabs (/ y (- x y))) |
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(fabs (/ y (- x y))) |
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#s(literal -1 binary64) |
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(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 x y) x x) y)) y) |
(- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
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(fabs (/ (- y x) y)) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (/ (- y x) y)) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
(fabs (/ (- y x) y)) |
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(fabs.f64 (/.f64 (-.f64 x y) y)) |
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(/ x y) |
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(fabs (/ (- y x) y)) |
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(fabs (/ (- y x) y)) |
(fabs.f64 (/.f64 (-.f64 x y) y)) |
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(/ 1 (fabs (/ y (- x y)))) |
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(/ 1 (fabs (/ y (- x y)))) |
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(fabs (/ y (- x y))) |
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(fabs (/ y (- x y))) |
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(-.f64 y x) |
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(-.f64 y x) |
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(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x) y #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) x)) |
(/.f64 (*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 100 |
| 0 | 33 | 100 |
| 1 | 129 | 100 |
| 2 | 773 | 100 |
| 0 | 8219 | 100 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) |
#s(approx (/ (- y x) y) #s(literal 1 binary64)) |
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 x y) |
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) |
(/.f64 #s(approx (- y x) (neg.f64 x)) y) |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y))) |
(fabs.f64 (*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y)) |
(*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y) |
#s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
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Compiled 8 265 to 1 338 computations (83.8% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 684 | 0 | 684 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 0 | 0 |
| Total | 684 | 4 | 688 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 52.6% | (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y))) |
| ✓ | 52.8% | (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) |
| ✓ | 100.0% | (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
| ✓ | 49.4% | (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) |
Compiled 115 to 69 computations (40% saved)
| Inputs |
|---|
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) |
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) |
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(fabs.f64 (/.f64 (-.f64 y x) y)) |
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(approx (pow (- x y) -1) (/.f64 #s(literal 1 binary64) x)) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) (*.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64))) (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y))) |
| Outputs |
|---|
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
3 calls:
| 141.0ms | y |
| 3.0ms | x |
| 3.0ms | (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) |
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) |
| Outputs |
|---|
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) |
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 1.0ms | (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.4% | 3 | x |
| 79.3% | 3 | y |
| 96.7% | 2 | (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
Compiled 9 to 10 computations (-11.1% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) |
| Outputs |
|---|
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) |
3 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.4% | 1 | x |
| 49.4% | 1 | y |
| 49.4% | 1 | (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1219711671555495 | 305.6331352805506 |
Compiled 10 to 11 computations (-10% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 41 |
| 1 | 37 | 41 |
| 2 | 50 | 41 |
| 3 | 59 | 41 |
| 4 | 66 | 41 |
| 5 | 81 | 41 |
| 6 | 108 | 41 |
| 7 | 111 | 41 |
| 1× | saturated |
| Inputs |
|---|
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 2 binary64)) (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))) |
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) |
| Outputs |
|---|
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(fabs.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 2 binary64)) (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))) |
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y)) #s(literal 2 binary64)) (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))) |
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 144 |
| 0 | 51 | 97 |
| 1 | 194 | 87 |
| 2 | 1176 | 84 |
| 0 | 9228 | 84 |
| 0 | 6 | 16 |
| 0 | 10 | 15 |
| 1 | 40 | 15 |
| 2 | 252 | 15 |
| 3 | 2330 | 15 |
| 0 | 8712 | 15 |
| 0 | 279 | 2577 |
| 1 | 812 | 2507 |
| 2 | 2132 | 2379 |
| 3 | 7044 | 2373 |
| 0 | 8206 | 2322 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 101 to 77 computations (23.8% saved)
Compiled 70 to 50 computations (28.6% saved)
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