
Time bar (total: 6.0s)
| 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 |
| 100% | 49.9% | 0% | 0.1% | 0% | 49.9% | 0% | 3 |
Compiled 11 to 10 computations (9.1% saved)
| 610.0ms | 8 256× | 0 | valid |
ival-log: 120.0ms (29.4% of total)ival-exp: 89.0ms (21.8% of total)ival-sub: 75.0ms (18.4% of total)ival-mult: 61.0ms (14.9% of total)ival-add: 53.0ms (13% of total)ival-true: 7.0ms (1.7% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| 0 | 0 | - | 0 | - | (*.f64 y (log.f64 y)) |
| 0 | 0 | - | 0 | - | (log.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x (*.f64 y (log.f64 y))) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 42.0ms | 510× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
Compiled 109 to 36 computations (67% saved)
ival-log: 13.0ms (48.6% of total)ival-exp: 4.0ms (15% of total)ival-mult: 4.0ms (15% of total)ival-add: 3.0ms (11.2% of total)ival-sub: 2.0ms (7.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 92 |
| 1 | 96 | 86 |
| 2 | 251 | 81 |
| 3 | 736 | 77 |
| 4 | 1622 | 77 |
| 5 | 2750 | 77 |
| 6 | 3959 | 77 |
| 7 | 4771 | 77 |
| 8 | 5300 | 77 |
| 9 | 5637 | 77 |
| 10 | 5759 | 77 |
| 11 | 5800 | 77 |
| 12 | 5848 | 77 |
| 13 | 6001 | 77 |
| 14 | 6760 | 77 |
| 15 | 6784 | 77 |
| 16 | 6784 | 77 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 22 | 9 |
| 2 | 41 | 8 |
| 3 | 82 | 8 |
| 4 | 130 | 8 |
| 5 | 204 | 8 |
| 6 | 383 | 8 |
| 7 | 689 | 8 |
| 8 | 916 | 8 |
| 9 | 1056 | 8 |
| 10 | 1144 | 8 |
| 11 | 1203 | 8 |
| 12 | 1353 | 8 |
| 13 | 1356 | 8 |
| 14 | 1357 | 8 |
| 0 | 1357 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| Outputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y (log.f64 y)) | |
| cost-diff | 0 | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) | |
| cost-diff | 0 | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) | |
| cost-diff | 128 | (+.f64 x (*.f64 y (log.f64 y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 0 | 13 | 32 |
| 1 | 22 | 32 |
| 2 | 41 | 31 |
| 3 | 82 | 31 |
| 4 | 130 | 31 |
| 5 | 204 | 31 |
| 6 | 383 | 31 |
| 7 | 689 | 31 |
| 8 | 916 | 31 |
| 9 | 1056 | 31 |
| 10 | 1144 | 31 |
| 11 | 1203 | 31 |
| 12 | 1353 | 31 |
| 13 | 1356 | 31 |
| 14 | 1357 | 31 |
| 0 | 1357 | 29 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
(+.f64 x (*.f64 y (log.f64 y))) |
x |
(*.f64 y (log.f64 y)) |
y |
(log.f64 y) |
z |
| Outputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(+.f64 x (*.f64 y (log.f64 y))) |
(fma.f64 (log.f64 y) y x) |
x |
(*.f64 y (log.f64 y)) |
(*.f64 (log.f64 y) y) |
y |
(log.f64 y) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) | |
| accuracy | 0.00390625 | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) | |
| accuracy | 0.00390625 | (+.f64 x (*.f64 y (log.f64 y))) | |
| accuracy | 0.25 | (*.f64 y (log.f64 y)) |
| 22.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 66 to 18 computations (72.7% saved)
ival-log: 4.0ms (39.4% of total)ival-exp: 2.0ms (19.7% of total)ival-mult: 2.0ms (19.7% of total)ival-add: 1.0ms (9.8% of total)ival-sub: 1.0ms (9.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ()) |
#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ()) |
#s(alt (*.f64 y (log.f64 y)) (patch (*.f64 y (log.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (exp (+ x (* y (log y)))) (taylor 0 z) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y))))))) (taylor 0 z) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y))))))))) (taylor 0 z) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y)))))))))) (taylor 0 z) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (log y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 z) (* y (log y)))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 z) (* y (log y)))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 z) (* y (log y)))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf z) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf z) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf z) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf z) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) (taylor inf z) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) (taylor inf z) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) (taylor inf z) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (exp (+ x (+ (* -1 z) (* y (log y))))) (taylor -inf z) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (exp (+ x (+ (* -1 z) (* y (log y))))) (taylor -inf z) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (exp (+ x (+ (* -1 z) (* y (log y))))) (taylor -inf z) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (exp (+ x (+ (* -1 z) (* y (log y))))) (taylor -inf z) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (log y))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (log y))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (log y))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- x z)) (taylor 0 y) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (- x z)) (* y (* (exp (- x z)) (log y)))) (taylor 0 y) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y))))) (taylor 0 y) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y))))) (taylor 0 y) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (- x z) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* y (log y))) z) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* y (log y))) z) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* y (log y))) z) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (log y)) (taylor 0 y) (#s(alt (*.f64 y (log.f64 y)) (patch (*.f64 y (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (log y)) (taylor 0 y) (#s(alt (*.f64 y (log.f64 y)) (patch (*.f64 y (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (log y)) (taylor 0 y) (#s(alt (*.f64 y (log.f64 y)) (patch (*.f64 y (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (log y)) (taylor 0 y) (#s(alt (*.f64 y (log.f64 y)) (patch (*.f64 y (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (log (/ 1 y)))) (taylor inf y) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (log (/ 1 y))) (/ x y))) (taylor inf y) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (log (/ 1 y))) (/ x y))) (taylor inf y) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (log (/ 1 y))) (/ x y))) (taylor inf y) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf y) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf y) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf y) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf y) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (log (/ 1 y)))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 y (log.f64 y)) (patch (*.f64 y (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 y (log.f64 y)) (patch (*.f64 y (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 y (log.f64 y)) (patch (*.f64 y (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 y (log.f64 y)) (patch (*.f64 y (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor -inf y) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor -inf y) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor -inf y) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor -inf y) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf y) (#s(alt (*.f64 y (log.f64 y)) (patch (*.f64 y (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf y) (#s(alt (*.f64 y (log.f64 y)) (patch (*.f64 y (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf y) (#s(alt (*.f64 y (log.f64 y)) (patch (*.f64 y (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf y) (#s(alt (*.f64 y (log.f64 y)) (patch (*.f64 y (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (log y)) (taylor 0 x) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (log y))) (taylor 0 x) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (log y))) (taylor 0 x) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (log y))) (taylor 0 x) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (* y (log y)) z)) (taylor 0 x) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z)))) (taylor 0 x) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z))))))) (taylor 0 x) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z)))))))) (taylor 0 x) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (* y (log y)) z) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* y (log y))) z) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* y (log y))) z) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* y (log y))) z) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (* y (log y)) x))) (taylor inf x) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (* y (log y)) x))) (taylor inf x) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (* y (log y)) x))) (taylor inf x) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf x) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf x) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf x) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf x) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 67.0ms | y | @ | 0 | ((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y))) |
| 37.0ms | y | @ | -inf | ((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y))) |
| 7.0ms | y | @ | inf | ((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y))) |
| 6.0ms | z | @ | 0 | ((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y))) |
| 3.0ms | z | @ | inf | ((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 1007 |
| 1 | 407 | 910 |
| 2 | 1263 | 875 |
| 3 | 4213 | 843 |
| 0 | 8364 | 784 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp (+ x (* y (log y)))) |
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y))))))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y))))))))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y)))))))))) |
(+ x (* y (log y))) |
(+ x (+ (* -1 z) (* y (log y)))) |
(+ x (+ (* -1 z) (* y (log y)))) |
(+ x (+ (* -1 z) (* y (log y)))) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(* -1 z) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
x |
(+ x (* y (log y))) |
(+ x (* y (log y))) |
(+ x (* y (log y))) |
(exp (- x z)) |
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y)))) |
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y))))) |
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y))))) |
(- x z) |
(- (+ x (* y (log y))) z) |
(- (+ x (* y (log y))) z) |
(- (+ x (* y (log y))) z) |
(* y (log y)) |
(* y (log y)) |
(* y (log y)) |
(* y (log y)) |
(* -1 (* y (log (/ 1 y)))) |
(* y (+ (* -1 (log (/ 1 y))) (/ x y))) |
(* y (+ (* -1 (log (/ 1 y))) (/ x y))) |
(* y (+ (* -1 (log (/ 1 y))) (/ x y))) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(* -1 (* y (log (/ 1 y)))) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(* -1 (* y (log (/ 1 y)))) |
(* -1 (* y (log (/ 1 y)))) |
(* -1 (* y (log (/ 1 y)))) |
(* -1 (* y (log (/ 1 y)))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y))))) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* y (log y)) |
(+ x (* y (log y))) |
(+ x (* y (log y))) |
(+ x (* y (log y))) |
(exp (- (* y (log y)) z)) |
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z)))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z))))))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z)))))))) |
(- (* y (log y)) z) |
(- (+ x (* y (log y))) z) |
(- (+ x (* y (log y))) z) |
(- (+ x (* y (log y))) z) |
x |
(* x (+ 1 (/ (* y (log y)) x))) |
(* x (+ 1 (/ (* y (log y)) x))) |
(* x (+ 1 (/ (* y (log y)) x))) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
x |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
x |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
| Outputs |
|---|
(exp (+ x (* y (log y)))) |
(*.f64 (pow.f64 y y) (exp.f64 x)) |
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y))))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (pow.f64 y y) (exp.f64 x))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y))))))))) |
(*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y)))))))))) |
(*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) (*.f64 z z) (-.f64 #s(literal 1 binary64) z))) |
(+ x (* y (log y))) |
(fma.f64 (log.f64 y) y x) |
(+ x (+ (* -1 z) (* y (log y)))) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(+ x (+ (* -1 z) (* y (log y)))) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(+ x (+ (* -1 z) (* y (log y)))) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
x |
(+ x (* y (log y))) |
(fma.f64 (log.f64 y) y x) |
(+ x (* y (log y))) |
(fma.f64 (log.f64 y) y x) |
(+ x (* y (log y))) |
(fma.f64 (log.f64 y) y x) |
(exp (- x z)) |
(exp.f64 (-.f64 x z)) |
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y)))) |
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z))) |
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y))))) |
(*.f64 (exp.f64 (-.f64 x z)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (log.f64 y) y #s(literal 1 binary64)))) |
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y))))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (exp.f64 (-.f64 x z))) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z)))) |
(- x z) |
(-.f64 x z) |
(- (+ x (* y (log y))) z) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(- (+ x (* y (log y))) z) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(- (+ x (* y (log y))) z) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(* y (log y)) |
(*.f64 (log.f64 y) y) |
(* y (log y)) |
(*.f64 (log.f64 y) y) |
(* y (log y)) |
(*.f64 (log.f64 y) y) |
(* y (log y)) |
(*.f64 (log.f64 y) y) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 (log.f64 y) y) |
(* y (+ (* -1 (log (/ 1 y))) (/ x y))) |
(fma.f64 (log.f64 y) y x) |
(* y (+ (* -1 (log (/ 1 y))) (/ x y))) |
(fma.f64 (log.f64 y) y x) |
(* y (+ (* -1 (log (/ 1 y))) (/ x y))) |
(fma.f64 (log.f64 y) y x) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 (log.f64 y) y) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 (log.f64 y) y) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 (log.f64 y) y) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 (log.f64 y) y) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 (log.f64 y) y) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y x) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y x) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y x) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y (-.f64 x z)) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y (-.f64 x z)) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y (-.f64 x z)) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) |
(* y (log y)) |
(*.f64 (log.f64 y) y) |
(+ x (* y (log y))) |
(fma.f64 (log.f64 y) y x) |
(+ x (* y (log y))) |
(fma.f64 (log.f64 y) y x) |
(+ x (* y (log y))) |
(fma.f64 (log.f64 y) y x) |
(exp (- (* y (log y)) z)) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z)))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y y) (exp.f64 z))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 (pow.f64 y y) (exp.f64 z))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z)))))))) |
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) |
(- (* y (log y)) z) |
(-.f64 (*.f64 (log.f64 y) y) z) |
(- (+ x (* y (log y))) z) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(- (+ x (* y (log y))) z) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(- (+ x (* y (log y))) z) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
x |
(* x (+ 1 (/ (* y (log y)) x))) |
(fma.f64 (log.f64 y) y x) |
(* x (+ 1 (/ (* y (log y)) x))) |
(fma.f64 (log.f64 y) y x) |
(* x (+ 1 (/ (* y (log y)) x))) |
(fma.f64 (log.f64 y) y x) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
x |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
x |
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1))) |
(fma.f64 (log.f64 y) y x) |
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1))) |
(fma.f64 (log.f64 y) y x) |
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1))) |
(fma.f64 (log.f64 y) y x) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z)) |
x |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(-.f64 (fma.f64 (log.f64 y) y x) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 27 |
| 0 | 13 | 27 |
| 1 | 47 | 27 |
| 2 | 376 | 26 |
| 3 | 5558 | 26 |
| 0 | 8413 | 24 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 y (log.f64 y))) |
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
(*.f64 y (log.f64 y)) |
| Outputs |
|---|
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Compiled 7 432 to 898 computations (87.9% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 320 | 3 | 323 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 321 | 3 | 324 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 81.7% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
| ▶ | 52.4% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) |
| ▶ | 53.9% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
Compiled 15 to 19 computations (-26.7% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x z) | |
| cost-diff | 0 | #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) | |
| cost-diff | 0 | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) | |
| cost-diff | 0 | (log.f64 y) | |
| cost-diff | 0 | (*.f64 (log.f64 y) y) | |
| cost-diff | 0 | #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) | |
| cost-diff | 0 | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) | |
| cost-diff | 0 | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 90 |
| 0 | 24 | 90 |
| 1 | 34 | 90 |
| 2 | 45 | 90 |
| 3 | 65 | 90 |
| 4 | 97 | 90 |
| 5 | 150 | 90 |
| 6 | 264 | 90 |
| 7 | 450 | 90 |
| 8 | 616 | 90 |
| 9 | 672 | 90 |
| 10 | 698 | 90 |
| 0 | 698 | 84 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) |
(neg.f64 z) |
z |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) |
#s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) |
(*.f64 (log.f64 y) y) |
(log.f64 y) |
y |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) |
(-.f64 x z) |
x |
z |
| Outputs |
|---|
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) |
(neg.f64 z) |
z |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) |
#s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) |
(*.f64 (log.f64 y) y) |
(log.f64 y) |
y |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) |
(-.f64 x z) |
x |
z |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x z) | |
| accuracy | 0 | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) | |
| accuracy | 18.84949777456802 | #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0 | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) | |
| accuracy | 0.25 | (*.f64 (log.f64 y) y) | |
| accuracy | 44.38751361934708 | #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0 | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) | |
| accuracy | 42.2010679141085 | #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) |
| 49.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 110 to 26 computations (76.4% saved)
ival-mult: 3.0ms (21.9% of total)ival-log: 3.0ms (21.9% of total)ival-exp: 2.0ms (14.6% of total)ival-sub: 2.0ms (14.6% of total)ival-add: 1.0ms (7.3% of total)ival-neg: 1.0ms (7.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
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#s(alt #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) (patch #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
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#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ()) |
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#s(alt #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) (patch #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) #<representation binary64>) () ()) |
#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ()) |
| Outputs |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | z | @ | 0 | ((exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (log y) y) (log y) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z)) |
| 10.0ms | y | @ | inf | ((exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (log y) y) (log y) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z)) |
| 9.0ms | y | @ | 0 | ((exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (log y) y) (log y) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z)) |
| 7.0ms | y | @ | -inf | ((exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (log y) y) (log y) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z)) |
| 2.0ms | x | @ | 0 | ((exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (log y) y) (log y) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 131 | 2526 |
| 1 | 404 | 2260 |
| 2 | 1217 | 2173 |
| 3 | 3977 | 2095 |
| 0 | 8873 | 1972 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp (+ x (* y (log y)))) |
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(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
x |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
x |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
| Outputs |
|---|
(exp (+ x (* y (log y)))) |
(*.f64 (pow.f64 y y) (exp.f64 x)) |
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y))))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (pow.f64 y y) (exp.f64 x))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y))))))))) |
(*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y)))))))))) |
(*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) (*.f64 z z) (-.f64 #s(literal 1 binary64) z))) |
(+ x (* y (log y))) |
(fma.f64 (log.f64 y) y x) |
(+ x (+ (* -1 z) (* y (log y)))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(+ x (+ (* -1 z) (* y (log y)))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(+ x (+ (* -1 z) (* y (log y)))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(exp (+ x (* y (log y)))) |
(*.f64 (pow.f64 y y) (exp.f64 x)) |
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y))))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (pow.f64 y y) (exp.f64 x))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y))))))))) |
(*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y)))))))))) |
(*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) (*.f64 z z) (-.f64 #s(literal 1 binary64) z))) |
(+ x (* y (log y))) |
(fma.f64 (log.f64 y) y x) |
(+ x (+ (* -1 z) (* y (log y)))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(+ x (+ (* -1 z) (* y (log y)))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(+ x (+ (* -1 z) (* y (log y)))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(exp (+ x (* y (log y)))) |
(*.f64 (pow.f64 y y) (exp.f64 x)) |
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y))))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (pow.f64 y y) (exp.f64 x))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y))))))))) |
(*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y)))))))))) |
(*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) (*.f64 z z) (-.f64 #s(literal 1 binary64) z))) |
(+ x (* y (log y))) |
(fma.f64 (log.f64 y) y x) |
(+ x (+ (* -1 z) (* y (log y)))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(+ x (+ (* -1 z) (* y (log y)))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(+ x (+ (* -1 z) (* y (log y)))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
x |
(+ x (* -1 z)) |
(-.f64 x z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ x z) 1)) |
(-.f64 x z) |
(* z (- (/ x z) 1)) |
(-.f64 x z) |
(* z (- (/ x z) 1)) |
(-.f64 x z) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 x z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 x z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 x z) |
(exp (- x z)) |
(exp.f64 (-.f64 x z)) |
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y)))) |
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z))) |
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y))))) |
(*.f64 (exp.f64 (-.f64 x z)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (log.f64 y) y #s(literal 1 binary64)))) |
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y))))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (exp.f64 (-.f64 x z))) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z)))) |
(- x z) |
(-.f64 x z) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(exp (- x z)) |
(exp.f64 (-.f64 x z)) |
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y)))) |
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z))) |
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y))))) |
(*.f64 (exp.f64 (-.f64 x z)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (log.f64 y) y #s(literal 1 binary64)))) |
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y))))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (exp.f64 (-.f64 x z))) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z)))) |
(- x z) |
(-.f64 x z) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* y (log y)) |
(*.f64 (log.f64 y) y) |
(* y (log y)) |
(*.f64 (log.f64 y) y) |
(* y (log y)) |
(*.f64 (log.f64 y) y) |
(* y (log y)) |
(*.f64 (log.f64 y) y) |
(log y) |
(log.f64 y) |
(log y) |
(log.f64 y) |
(log y) |
(log.f64 y) |
(log y) |
(log.f64 y) |
(exp (- x z)) |
(exp.f64 (-.f64 x z)) |
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y)))) |
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z))) |
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y))))) |
(*.f64 (exp.f64 (-.f64 x z)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (log.f64 y) y #s(literal 1 binary64)))) |
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y))))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (exp.f64 (-.f64 x z))) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z)))) |
(- x z) |
(-.f64 x z) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 (log.f64 y) y) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 (log.f64 y) y) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 (log.f64 y) y) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 (log.f64 y) y) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 (log.f64 y) y) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 (log.f64 y) y) |
(* -1 (log (/ 1 y))) |
(log.f64 y) |
(* -1 (log (/ 1 y))) |
(log.f64 y) |
(* -1 (log (/ 1 y))) |
(log.f64 y) |
(* -1 (log (/ 1 y))) |
(log.f64 y) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 (log.f64 y) y) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y (-.f64 x z)) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y (-.f64 x z)) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y (-.f64 x z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y (-.f64 x z)) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y (-.f64 x z)) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y (-.f64 x z)) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y (-.f64 x z)) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y (-.f64 x z)) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y (-.f64 x z)) |
(exp (- (* y (log y)) z)) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z)))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y y) (exp.f64 z))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 (pow.f64 y y) (exp.f64 z))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z)))))))) |
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) |
(- (* y (log y)) z) |
(-.f64 (*.f64 (log.f64 y) y) z) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(exp (- (* y (log y)) z)) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z)))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y y) (exp.f64 z))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 (pow.f64 y y) (exp.f64 z))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z)))))))) |
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) |
(- (* y (log y)) z) |
(-.f64 (*.f64 (log.f64 y) y) z) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(exp (- (* y (log y)) z)) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z)))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y y) (exp.f64 z))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 (pow.f64 y y) (exp.f64 z))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z)))))))) |
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) |
(- (* y (log y)) z) |
(-.f64 (*.f64 (log.f64 y) y) z) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* -1 z) |
(neg.f64 z) |
(- x z) |
(-.f64 x z) |
(- x z) |
(-.f64 x z) |
(- x z) |
(-.f64 x z) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
x |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
x |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
x |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x z) |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x z) |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x z) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
x |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
x |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z))) |
x |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
x |
(* -1 (* x (- (/ z x) 1))) |
(-.f64 x z) |
(* -1 (* x (- (/ z x) 1))) |
(-.f64 x z) |
(* -1 (* x (- (/ z x) 1))) |
(-.f64 x z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 86 |
| 0 | 24 | 86 |
| 1 | 67 | 86 |
| 2 | 469 | 86 |
| 3 | 7065 | 86 |
| 0 | 8206 | 80 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) |
(neg.f64 z) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) |
#s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) |
(*.f64 (log.f64 y) y) |
(log.f64 y) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) |
(-.f64 x z) |
| Outputs |
|---|
#<batchref> |
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#<batchref> |
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#<batchref> |
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#<batchref> |
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#<batchref> |
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Compiled 4 558 to 558 computations (87.8% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 375 | 1 | 376 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 0 | 0 |
| Total | 375 | 4 | 379 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.1% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) |
| ✓ | 81.7% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
| ✓ | 52.4% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) |
| ✓ | 53.9% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
Compiled 28 to 29 computations (-3.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (neg.f64 z) z (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) | |
| cost-diff | 0 | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) | |
| cost-diff | 1536 | (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 69 |
| 0 | 21 | 69 |
| 1 | 35 | 69 |
| 2 | 50 | 69 |
| 3 | 87 | 69 |
| 4 | 156 | 69 |
| 5 | 335 | 51 |
| 6 | 741 | 45 |
| 7 | 1530 | 45 |
| 8 | 3996 | 45 |
| 9 | 7613 | 45 |
| 0 | 8031 | 43 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) |
#s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) |
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(neg.f64 z) |
z |
(*.f64 x x) |
x |
(+.f64 x z) |
| Outputs |
|---|
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
#s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) |
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) |
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) |
(-.f64 x z) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(neg.f64 z) |
z |
(*.f64 x x) |
x |
(+.f64 x z) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) | |
| accuracy | 3.4999614664778425 | (fma.f64 (neg.f64 z) z (*.f64 x x)) | |
| accuracy | 18.84949777456802 | #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) | |
| accuracy | 28.955447559076635 | (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) |
| 58.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 102 to 26 computations (74.5% saved)
ival-mult: 32.0ms (67.6% of total)ival-add: 5.0ms (10.6% of total)ival-log: 4.0ms (8.5% of total)ival-div: 2.0ms (4.2% of total)ival-exp: 2.0ms (4.2% of total)ival-sub: 1.0ms (2.1% of total)ival-neg: 1.0ms (2.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
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#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | z | @ | inf | ((/ (+ (* (neg z) z) (* x x)) (+ x z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ (* (neg z) z) (* x x))) |
| 4.0ms | x | @ | 0 | ((/ (+ (* (neg z) z) (* x x)) (+ x z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ (* (neg z) z) (* x x))) |
| 2.0ms | z | @ | 0 | ((/ (+ (* (neg z) z) (* x x)) (+ x z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ (* (neg z) z) (* x x))) |
| 2.0ms | z | @ | -inf | ((/ (+ (* (neg z) z) (* x x)) (+ x z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ (* (neg z) z) (* x x))) |
| 2.0ms | x | @ | inf | ((/ (+ (* (neg z) z) (* x x)) (+ x z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ (* (neg z) z) (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 1027 |
| 1 | 433 | 921 |
| 2 | 1304 | 892 |
| 3 | 4370 | 866 |
| 0 | 8859 | 825 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(exp (+ x (* y (log y)))) |
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y))))))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y))))))))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y)))))))))) |
(+ x (* y (log y))) |
(+ x (+ (* -1 z) (* y (log y)))) |
(+ x (+ (* -1 z) (* y (log y)))) |
(+ x (+ (* -1 z) (* y (log y)))) |
(pow x 2) |
(+ (* -1 (pow z 2)) (pow x 2)) |
(+ (* -1 (pow z 2)) (pow x 2)) |
(+ (* -1 (pow z 2)) (pow x 2)) |
(* -1 z) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(* -1 z) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) |
(exp (- x z)) |
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y)))) |
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y))))) |
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y))))) |
(- x z) |
(- (+ x (* y (log y))) z) |
(- (+ x (* y (log y))) z) |
(- (+ x (* y (log y))) z) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(* -1 (* y (log (/ 1 y)))) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(* -1 z) |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(exp (- (* y (log y)) z)) |
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z)))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z))))))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z)))))))) |
(- (* y (log y)) z) |
(- (+ x (* y (log y))) z) |
(- (+ x (* y (log y))) z) |
(- (+ x (* y (log y))) z) |
(* -1 (pow z 2)) |
(+ (* -1 (pow z 2)) (pow x 2)) |
(+ (* -1 (pow z 2)) (pow x 2)) |
(+ (* -1 (pow z 2)) (pow x 2)) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
x |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) |
x |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
x |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) |
| Outputs |
|---|
x |
(+ x (* -1 z)) |
(-.f64 x z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(exp (+ x (* y (log y)))) |
(*.f64 (pow.f64 y y) (exp.f64 x)) |
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y))))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (pow.f64 y y) (exp.f64 x))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y))))))))) |
(*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) z) z (-.f64 #s(literal 1 binary64) z))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y)))))))))) |
(*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) (*.f64 z z) (-.f64 #s(literal 1 binary64) z))) |
(+ x (* y (log y))) |
(fma.f64 (log.f64 y) y x) |
(+ x (+ (* -1 z) (* y (log y)))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(+ x (+ (* -1 z) (* y (log y)))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(+ x (+ (* -1 z) (* y (log y)))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(pow x 2) |
(*.f64 x x) |
(+ (* -1 (pow z 2)) (pow x 2)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(+ (* -1 (pow z 2)) (pow x 2)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(+ (* -1 (pow z 2)) (pow x 2)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ x z) 1)) |
(-.f64 x z) |
(* z (- (/ x z) 1)) |
(-.f64 x z) |
(* z (- (/ x z) 1)) |
(-.f64 x z) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 x z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 x z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 x z) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(exp (- x z)) |
(exp.f64 (-.f64 x z)) |
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y)))) |
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z))) |
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y))))) |
(*.f64 (exp.f64 (-.f64 x z)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (log.f64 y) y #s(literal 1 binary64)))) |
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y))))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (exp.f64 (-.f64 x z))) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z)))) |
(- x z) |
(-.f64 x z) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 (log.f64 y) y) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y (-.f64 x z)) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y (-.f64 x z)) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y (-.f64 x z)) |
(* -1 z) |
(neg.f64 z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(exp (- (* y (log y)) z)) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z)))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y y) (exp.f64 z))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 (pow.f64 y y) (exp.f64 z))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z)))))))) |
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) |
(- (* y (log y)) z) |
(-.f64 (*.f64 (log.f64 y) y) z) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(+ (* -1 (pow z 2)) (pow x 2)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(+ (* -1 (pow z 2)) (pow x 2)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(+ (* -1 (pow z 2)) (pow x 2)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x z) |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x z) |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x z) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
x |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x) |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x) |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
x |
(* -1 (* x (- (/ z x) 1))) |
(-.f64 x z) |
(* -1 (* x (- (/ z x) 1))) |
(-.f64 x z) |
(* -1 (* x (- (/ z x) 1))) |
(-.f64 x z) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
x |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 59 |
| 0 | 21 | 59 |
| 1 | 88 | 35 |
| 2 | 704 | 35 |
| 0 | 8465 | 33 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) |
#s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
| Outputs |
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Compiled 7 543 to 1 261 computations (83.3% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 368 | 1 | 369 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 3 | 3 |
| Total | 369 | 4 | 373 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.0% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) |
| ✓ | 81.7% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
| ✓ | 52.4% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) |
| ✓ | 53.9% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
Compiled 25 to 28 computations (-12% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) | |
| cost-diff | 0 | #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) | |
| cost-diff | 0 | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 87 |
| 0 | 21 | 87 |
| 1 | 35 | 83 |
| 2 | 50 | 83 |
| 3 | 84 | 83 |
| 4 | 140 | 83 |
| 5 | 296 | 83 |
| 6 | 634 | 83 |
| 7 | 1215 | 83 |
| 8 | 2182 | 83 |
| 9 | 3171 | 83 |
| 10 | 4511 | 83 |
| 11 | 5258 | 83 |
| 12 | 5594 | 83 |
| 13 | 5838 | 83 |
| 14 | 5940 | 83 |
| 15 | 5946 | 83 |
| 16 | 6625 | 83 |
| 17 | 6737 | 83 |
| 18 | 6849 | 83 |
| 19 | 6905 | 83 |
| 20 | 6905 | 83 |
| 21 | 7129 | 83 |
| 22 | 7185 | 83 |
| 23 | 7241 | 83 |
| 24 | 7241 | 83 |
| 0 | 9153 | 81 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) |
#s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) |
(/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) |
#s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) |
(*.f64 x x) |
x |
(+.f64 x z) |
z |
| Outputs |
|---|
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x)))) |
#s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) |
#s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x))) |
(/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) |
(/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x)) |
#s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) |
(*.f64 x x) |
x |
(+.f64 x z) |
(+.f64 z x) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) | |
| accuracy | 18.84949777456802 | #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) | |
| accuracy | 28.065130324639288 | #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) | |
| accuracy | 28.955447559076635 | (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) |
| 53.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 86 to 25 computations (70.9% saved)
ival-mult: 5.0ms (26.8% of total)ival-add: 4.0ms (21.4% of total)ival-log: 3.0ms (16.1% of total)ival-div: 2.0ms (10.7% of total)ival-exp: 2.0ms (10.7% of total)ival-sub: 1.0ms (5.4% of total)ival-neg: 1.0ms (5.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (exp (+ x (* y (log y)))) (taylor 0 z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y))))))) (taylor 0 z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y))))))))) (taylor 0 z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y)))))))))) (taylor 0 z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (log y))) (taylor 0 z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 z) (* y (log y)))) (taylor 0 z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 z) (* y (log y)))) (taylor 0 z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 z) (* y (log y)))) (taylor 0 z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 z)) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 z)) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 z)) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 z) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow z 2)) (pow x 2)) (taylor 0 z) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow z 2)) (pow x 2)) (taylor 0 z) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow z 2)) (pow x 2)) (taylor 0 z) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ x z) 1)) (taylor inf z) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (pow z 2)) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow z 2)) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) (taylor inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) (taylor inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) (taylor inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ z x)))) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ z x)))) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ z x)))) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | ((exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ (+ (* (neg z) z) (* x x)) (+ x z)) (+ (* (neg z) z) (* x x))) |
| 2.0ms | x | @ | 0 | ((exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ (+ (* (neg z) z) (* x x)) (+ x z)) (+ (* (neg z) z) (* x x))) |
| 2.0ms | y | @ | -inf | ((exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ (+ (* (neg z) z) (* x x)) (+ x z)) (+ (* (neg z) z) (* x x))) |
| 2.0ms | y | @ | 0 | ((exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ (+ (* (neg z) z) (* x x)) (+ x z)) (+ (* (neg z) z) (* x x))) |
| 2.0ms | y | @ | inf | ((exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ (+ (* (neg z) z) (* x x)) (+ x z)) (+ (* (neg z) z) (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 1027 |
| 1 | 433 | 921 |
| 2 | 1305 | 892 |
| 3 | 4382 | 866 |
| 0 | 8866 | 825 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp (+ x (* y (log y)))) |
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y))))))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y))))))))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y)))))))))) |
(+ x (* y (log y))) |
(+ x (+ (* -1 z) (* y (log y)))) |
(+ x (+ (* -1 z) (* y (log y)))) |
(+ x (+ (* -1 z) (* y (log y)))) |
x |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(pow x 2) |
(+ (* -1 (pow z 2)) (pow x 2)) |
(+ (* -1 (pow z 2)) (pow x 2)) |
(+ (* -1 (pow z 2)) (pow x 2)) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(* -1 z) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(* -1 z) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) |
(exp (- x z)) |
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y)))) |
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y))))) |
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y))))) |
(- x z) |
(- (+ x (* y (log y))) z) |
(- (+ x (* y (log y))) z) |
(- (+ x (* y (log y))) z) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(* -1 (* y (log (/ 1 y)))) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(exp (- (* y (log y)) z)) |
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z)))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z))))))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z)))))))) |
(- (* y (log y)) z) |
(- (+ x (* y (log y))) z) |
(- (+ x (* y (log y))) z) |
(- (+ x (* y (log y))) z) |
(* -1 z) |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(* -1 (pow z 2)) |
(+ (* -1 (pow z 2)) (pow x 2)) |
(+ (* -1 (pow z 2)) (pow x 2)) |
(+ (* -1 (pow z 2)) (pow x 2)) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
x |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
x |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
x |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) |
| Outputs |
|---|
(exp (+ x (* y (log y)))) |
(*.f64 (pow.f64 y y) (exp.f64 x)) |
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y))))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (pow.f64 y y) (exp.f64 x))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y))))))))) |
(*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) z) z (-.f64 #s(literal 1 binary64) z))) |
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y)))))))))) |
(*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) (*.f64 z z) (-.f64 #s(literal 1 binary64) z))) |
(+ x (* y (log y))) |
(fma.f64 (log.f64 y) y x) |
(+ x (+ (* -1 z) (* y (log y)))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(+ x (+ (* -1 z) (* y (log y)))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(+ x (+ (* -1 z) (* y (log y)))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
x |
(+ x (* -1 z)) |
(-.f64 x z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(pow x 2) |
(*.f64 x x) |
(+ (* -1 (pow z 2)) (pow x 2)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(+ (* -1 (pow z 2)) (pow x 2)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(+ (* -1 (pow z 2)) (pow x 2)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ x z) 1)) |
(-.f64 x z) |
(* z (- (/ x z) 1)) |
(-.f64 x z) |
(* z (- (/ x z) 1)) |
(-.f64 x z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (+ x (+ (* -1 z) (* y (log y))))) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 x z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 x z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 x z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(exp (- x z)) |
(exp.f64 (-.f64 x z)) |
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y)))) |
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z))) |
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y))))) |
(*.f64 (exp.f64 (-.f64 x z)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (log.f64 y) y #s(literal 1 binary64)))) |
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y))))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (exp.f64 (-.f64 x z))) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z)))) |
(- x z) |
(-.f64 x z) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 (log.f64 y) y) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y (-.f64 x z)) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y (-.f64 x z)) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y (-.f64 x z)) |
(exp (- (* y (log y)) z)) |
(/.f64 (pow.f64 y y) (exp.f64 z)) |
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z)))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y y) (exp.f64 z))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 (pow.f64 y y) (exp.f64 z))) |
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z)))))))) |
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) |
(- (* y (log y)) z) |
(-.f64 (*.f64 (log.f64 y) y) z) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(- (+ x (* y (log y))) z) |
(fma.f64 (log.f64 y) y (-.f64 x z)) |
(* -1 z) |
(neg.f64 z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(+ (* -1 (pow z 2)) (pow x 2)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(+ (* -1 (pow z 2)) (pow x 2)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(+ (* -1 (pow z 2)) (pow x 2)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (+ x (* y (log y))) z)) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
x |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x) |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x) |
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) |
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x z) |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x z) |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x z) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
(exp (- (* y (log y)) (+ z (* -1 x)))) |
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) |
x |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x) |
x |
(* -1 (* x (- (/ z x) 1))) |
(-.f64 x z) |
(* -1 (* x (- (/ z x) 1))) |
(-.f64 x z) |
(* -1 (* x (- (/ z x) 1))) |
(-.f64 x z) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 79 |
| 0 | 21 | 79 |
| 1 | 88 | 75 |
| 2 | 678 | 75 |
| 0 | 8542 | 73 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) |
#s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) |
(/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) |
#s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
Compiled 2 464 to 366 computations (85.1% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 175 | 0 | 175 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 175 | 4 | 179 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 53.0% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) |
| ✓ | 81.7% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
| ✓ | 52.4% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) |
| ✓ | 53.9% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
Compiled 72 to 55 computations (23.6% saved)
| Inputs |
|---|
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) |
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| Outputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
7 calls:
| 5.0ms | (+.f64 x (*.f64 y (log.f64 y))) |
| 3.0ms | (*.f64 y (log.f64 y)) |
| 3.0ms | y |
| 3.0ms | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| 100.0% | 1 | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 100.0% | 1 | (+.f64 x (*.f64 y (log.f64 y))) |
| 100.0% | 1 | (*.f64 y (log.f64 y)) |
Compiled 30 to 35 computations (-16.7% saved)
| Inputs |
|---|
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) |
| Outputs |
|---|
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) |
7 calls:
| 5.0ms | x |
| 5.0ms | (+.f64 x (*.f64 y (log.f64 y))) |
| 3.0ms | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 2.0ms | (*.f64 y (log.f64 y)) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.5% | 3 | x |
| 91.2% | 2 | y |
| 81.7% | 1 | z |
| 83.7% | 2 | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| 86.4% | 2 | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 86.7% | 2 | (+.f64 x (*.f64 y (log.f64 y))) |
| 91.2% | 2 | (*.f64 y (log.f64 y)) |
Compiled 30 to 35 computations (-16.7% saved)
| Inputs |
|---|
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) |
| Outputs |
|---|
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
7 calls:
| 12.0ms | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 2.0ms | (*.f64 y (log.f64 y)) |
| 2.0ms | z |
| 2.0ms | (+.f64 x (*.f64 y (log.f64 y))) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.7% | 1 | z |
| 81.7% | 1 | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| 81.7% | 1 | x |
| 81.7% | 1 | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 81.7% | 1 | (+.f64 x (*.f64 y (log.f64 y))) |
| 81.7% | 1 | y |
| 81.7% | 1 | (*.f64 y (log.f64 y)) |
Compiled 30 to 35 computations (-16.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
| Outputs |
|---|
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
7 calls:
| 3.0ms | y |
| 1.0ms | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 1.0ms | (+.f64 x (*.f64 y (log.f64 y))) |
| 1.0ms | (*.f64 y (log.f64 y)) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.9% | 1 | x |
| 53.9% | 1 | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| 53.9% | 1 | y |
| 53.9% | 1 | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 53.9% | 1 | (+.f64 x (*.f64 y (log.f64 y))) |
| 53.9% | 1 | (*.f64 y (log.f64 y)) |
| 53.9% | 1 | z |
Compiled 30 to 35 computations (-16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.813111063558027e+118 | 7.966186610480508e+122 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 68 |
| 1 | 38 | 68 |
| 2 | 51 | 68 |
| 3 | 70 | 68 |
| 4 | 97 | 68 |
| 5 | 151 | 68 |
| 6 | 315 | 68 |
| 7 | 849 | 68 |
| 8 | 3808 | 68 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(if (<=.f64 (*.f64 y (log.f64 y)) #s(literal 49999999999999997208377623627466690637486435190095003412116017803818992811380155502205974802370865683036809141768159232 binary64)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
| Outputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(exp.f64 (-.f64 (+.f64 (*.f64 (log.f64 y) y) x) z)) |
(if (<=.f64 (*.f64 y (log.f64 y)) #s(literal 49999999999999997208377623627466690637486435190095003412116017803818992811380155502205974802370865683036809141768159232 binary64)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))) |
(if (<=.f64 (*.f64 (log.f64 y) y) #s(literal 49999999999999997208377623627466690637486435190095003412116017803818992811380155502205974802370865683036809141768159232 binary64)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 1007 |
| 1 | 407 | 910 |
| 2 | 1263 | 875 |
| 3 | 4213 | 843 |
| 0 | 8364 | 784 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
Compiled 52 to 40 computations (23.1% saved)
Compiled 108 to 70 computations (35.2% saved)
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