
Time bar (total: 5.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 100% | 49.9% | 0% | 0.1% | 0% | 49.9% | 0% | 3 |
Compiled 11 to 10 computations (9.1% saved)
| 566.0ms | 8 256× | 0 | valid |
ival-log: 137.0ms (38.6% of total)ival-mult: 66.0ms (18.6% of total)ival-exp: 58.0ms (16.3% of total)ival-sub: 43.0ms (12.1% of total)ival-add: 40.0ms (11.3% of total)ival-true: 7.0ms (2% of total)ival-assert: 3.0ms (0.8% 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 |
| 52.0ms | 510× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
Compiled 77 to 28 computations (63.6% saved)
ival-exp: 18.0ms (52% of total)ival-log: 7.0ms (20.2% of total)ival-mult: 4.0ms (11.6% of total)ival-add: 2.0ms (5.8% of total)ival-sub: 2.0ms (5.8% 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 |
| 928× | div-sub |
| 850× | exp-sum |
| 752× | sub-neg |
| 706× | exp-prod |
| 634× | cancel-sign-sub-inv |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 92 |
| 1 | 96 | 86 |
| 2 | 251 | 81 |
| 3 | 736 | 77 |
| 4 | 1619 | 77 |
| 5 | 2721 | 77 |
| 6 | 3802 | 77 |
| 7 | 4525 | 77 |
| 8 | 5045 | 77 |
| 9 | 5382 | 77 |
| 10 | 5504 | 77 |
| 11 | 5545 | 77 |
| 12 | 5593 | 77 |
| 13 | 5746 | 77 |
| 14 | 6507 | 77 |
| 15 | 6531 | 77 |
| 16 | 6531 | 77 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 22 | 9 |
| 2 | 41 | 8 |
| 3 | 82 | 8 |
| 4 | 130 | 8 |
| 5 | 204 | 8 |
| 6 | 373 | 8 |
| 7 | 664 | 8 |
| 8 | 871 | 8 |
| 9 | 1008 | 8 |
| 10 | 1097 | 8 |
| 11 | 1156 | 8 |
| 12 | 1306 | 8 |
| 13 | 1309 | 8 |
| 14 | 1310 | 8 |
| 0 | 1310 | 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))) |
| 416× | lower-fma.f64 |
| 416× | lower-fma.f32 |
| 288× | lower-*.f32 |
| 286× | lower-*.f64 |
| 266× | exp-sum |
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 | 373 | 31 |
| 7 | 664 | 31 |
| 8 | 871 | 31 |
| 9 | 1008 | 31 |
| 10 | 1097 | 31 |
| 11 | 1156 | 31 |
| 12 | 1306 | 31 |
| 13 | 1309 | 31 |
| 14 | 1310 | 31 |
| 0 | 1310 | 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 | 0.0078125 | (+.f64 x (*.f64 y (log.f64 y))) | |
| accuracy | 0.01171875 | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) | |
| accuracy | 0.265625 | (*.f64 y (log.f64 y)) |
| 21.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 34 to 10 computations (70.6% saved)
ival-log: 3.0ms (30.4% of total)ival-exp: 2.0ms (20.2% of total)ival-mult: 2.0ms (20.2% of total)ival-add: 1.0ms (10.1% of total)ival-sub: 1.0ms (10.1% 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 | |
|---|---|---|---|---|
| 50.0ms | y | @ | 0 | ((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y))) |
| 13.0ms | y | @ | -inf | ((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y))) |
| 6.0ms | y | @ | inf | ((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y))) |
| 5.0ms | 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 |
| 12 444× | lower-fma.f64 |
| 12 444× | lower-fma.f32 |
| 5 864× | lower-*.f64 |
| 5 864× | lower-*.f32 |
| 1 620× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 1007 |
| 1 | 407 | 910 |
| 2 | 1245 | 875 |
| 3 | 4149 | 843 |
| 0 | 8320 | 785 |
| 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 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
(+ (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) |
| 4 714× | lower-fma.f64 |
| 4 714× | lower-fma.f32 |
| 4 450× | lower-*.f32 |
| 4 448× | lower-*.f64 |
| 2 382× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 27 |
| 0 | 13 | 27 |
| 1 | 47 | 27 |
| 2 | 376 | 26 |
| 3 | 5512 | 26 |
| 0 | 8367 | 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 7 433 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 |
|---|---|---|
| ▶ | 76.3% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
| ▶ | 60.5% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) |
| ▶ | 52.3% | (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))) |
| 400× | lower-fma.f64 |
| 400× | lower-fma.f32 |
| 160× | lower-*.f32 |
| 158× | lower-*.f64 |
| 122× | cancel-sign-sub-inv |
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 | 253 | 90 |
| 7 | 420 | 90 |
| 8 | 566 | 90 |
| 9 | 619 | 90 |
| 10 | 645 | 90 |
| 0 | 645 | 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 | 24.904401688610506 | #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 | 0.265625 | (*.f64 (log.f64 y) y) | |
| accuracy | 38.361442537162866 | #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 | 44.90730724506009 | #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) |
| 50.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 68 to 13 computations (80.9% saved)
ival-log: 5.0ms (32.3% of total)ival-mult: 3.0ms (19.4% of total)ival-sub: 3.0ms (19.4% of total)ival-exp: 2.0ms (12.9% of total)ival-add: 1.0ms (6.5% of total)ival-neg: 1.0ms (6.5% 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) (neg.f64 z))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) #<representation binary64>) () ()) |
#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>) () ()) |
#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) #<representation binary64>) () ()) |
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#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ()) |
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ()) |
#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) #<representation binary64>) () ()) |
#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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#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) (taylor -inf x) (#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>) () ())) ()) |
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#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) #<representation binary64>) () ())) ()) |
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#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) (taylor -inf x) (#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>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) (taylor -inf x) (#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 x (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 49.0ms | 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)) |
| 48.0ms | z | @ | 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 |
| 12 748× | lower-fma.f64 |
| 12 748× | lower-fma.f32 |
| 5 652× | lower-*.f64 |
| 5 652× | lower-*.f32 |
| 2 274× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 131 | 2526 |
| 1 | 404 | 2260 |
| 2 | 1206 | 2173 |
| 3 | 3933 | 2146 |
| 0 | 8431 | 2029 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp (+ x (* y (log y)))) |
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y))))))) |
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(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)))))))))) |
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(+ (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))) |
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x |
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(exp (- (+ x (* y (log y))) z)) |
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(exp (- (+ x (* y (log y))) z)) |
(exp (- (+ x (* y (log y))) z)) |
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(* -1 z) |
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(* x (+ 1 (* -1 (/ z x)))) |
(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))) |
(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))) |
(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)) (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))) |
(+ (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)))))))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (pow.f64 y y)) (exp.f64 x) (*.f64 (*.f64 z z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) (*.f64 (pow.f64 y y) (exp.f64 x))))) |
(+ 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)) (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))) |
(+ (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)))))))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (pow.f64 y y)) (exp.f64 x) (*.f64 (*.f64 z z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) (*.f64 (pow.f64 y y) (exp.f64 x))))) |
(+ 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)) (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))) |
(+ (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)))))))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (pow.f64 y y)) (exp.f64 x) (*.f64 (*.f64 z z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) (*.f64 (pow.f64 y y) (exp.f64 x))))) |
(+ 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))))) |
(fma.f64 (*.f64 (exp.f64 (-.f64 x z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) (log.f64 y))) y (exp.f64 (-.f64 x z))) |
(+ (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 (exp.f64 (-.f64 x z)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) y) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #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))))) |
(fma.f64 (*.f64 (exp.f64 (-.f64 x z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) (log.f64 y))) y (exp.f64 (-.f64 x z))) |
(+ (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 (exp.f64 (-.f64 x z)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) y) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #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))))) |
(fma.f64 (*.f64 (exp.f64 (-.f64 x z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) (log.f64 y))) y (exp.f64 (-.f64 x z))) |
(+ (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 (exp.f64 (-.f64 x z)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) y) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #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 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
(+ (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)))))))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) x (/.f64 (pow.f64 y y) (exp.f64 z))) |
(- (* 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 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
(+ (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)))))))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) x (/.f64 (pow.f64 y y) (exp.f64 z))) |
(- (* 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 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
(+ (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)))))))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) x (/.f64 (pow.f64 y y) (exp.f64 z))) |
(- (* 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) |
| 5 844× | lower-fma.f64 |
| 5 844× | lower-fma.f32 |
| 4 428× | lower-*.f32 |
| 4 426× | lower-*.f64 |
| 3 206× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 86 |
| 0 | 24 | 86 |
| 1 | 67 | 86 |
| 2 | 469 | 86 |
| 3 | 7021 | 86 |
| 0 | 8162 | 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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Compiled 4 615 to 564 computations (87.8% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 374 | 2 | 376 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 0 | 0 |
| Total | 374 | 5 | 379 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 74.3% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) |
| ✓ | 76.3% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
| ▶ | 52.3% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) |
| ✓ | 60.5% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) |
| ✓ | 52.3% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
Compiled 38 to 39 computations (-2.6% saved)
| 1× | egg-herbie |
Found 8 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 z x))) | |
| cost-diff | 0 | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) | |
| cost-diff | 1536 | (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) z) | |
| cost-diff | 0 | #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) | |
| cost-diff | 0 | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) | |
| cost-diff | 1344 | (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) |
| 6 640× | lower-fma.f32 |
| 6 638× | lower-fma.f64 |
| 3 270× | lower-*.f32 |
| 3 264× | lower-*.f64 |
| 2 172× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 123 |
| 0 | 30 | 135 |
| 1 | 50 | 115 |
| 2 | 89 | 105 |
| 3 | 179 | 105 |
| 4 | 401 | 105 |
| 5 | 1586 | 87 |
| 6 | 3055 | 81 |
| 7 | 5147 | 81 |
| 0 | 8220 | 77 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) |
#s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) |
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(neg.f64 z) |
z |
(*.f64 x x) |
x |
(+.f64 z x) |
| Outputs |
|---|
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
#s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) |
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) |
(neg.f64 z) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) |
(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 z x))) |
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) |
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) |
(-.f64 x z) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(neg.f64 z) |
z |
(*.f64 x x) |
x |
(+.f64 z x) |
Found 8 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 z x)))) | |
| accuracy | 2.249975228450042 | (fma.f64 (neg.f64 z) z (*.f64 x x)) | |
| accuracy | 24.904401688610506 | #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) | |
| accuracy | 29.740481238962662 | (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0 | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) | |
| accuracy | 32.75019149365244 | (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) | |
| accuracy | 44.90730724506009 | #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) |
| 35.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 85 to 19 computations (77.6% saved)
ival-mult: 7.0ms (32% of total)ival-div: 4.0ms (18.3% of total)ival-log: 4.0ms (18.3% of total)ival-add: 3.0ms (13.7% of total)ival-exp: 2.0ms (9.1% of total)ival-sub: 1.0ms (4.6% of total)ival-neg: 1.0ms (4.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) (patch (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ()) |
#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) #<representation binary64>) () ()) |
#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 z) (taylor 0 z) (#s(alt (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) (patch (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) (patch (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) (patch (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) (patch (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (exp (+ x (* y (log y)))) (taylor 0 z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) 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 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) 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 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) 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 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (log y))) (taylor 0 z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 z) (* y (log y)))) (taylor 0 z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 z) (* y (log y)))) (taylor 0 z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 z) (* y (log y)))) (taylor 0 z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 z)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 z)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 z)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (+ x (* y (log y)))) (taylor 0 z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) #<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 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) #<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 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) #<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 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (log y))) (taylor 0 z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 z) (* y (log y)))) (taylor 0 z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 z) (* y (log y)))) (taylor 0 z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 z) (* y (log y)))) (taylor 0 z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow z 2)) (pow x 2)) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow z 2)) (pow x 2)) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow z 2)) (pow x 2)) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) (patch (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) (patch (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) (patch (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) (patch (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) 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 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) 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 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) 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 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) 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 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) 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 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) 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 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) 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 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor inf z) (#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor inf z) (#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ x (* y (log y))) z) (taylor 0 x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* y (log y))) z) (taylor 0 x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow z 2)) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow z 2)) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow z 2)) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.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 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) 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 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) 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 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) 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 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) 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 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) 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 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) 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 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ 1 (* -1 (/ z x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ z x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z 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 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z 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 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z 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 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z 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 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) #<representation binary64>) () ())) ()) |
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#s(alt (* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) (taylor inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) #<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 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ())) ()) |
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#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) 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 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) 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 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) 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 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) #<representation binary64>) () ())) ()) |
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#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z 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 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z 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 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) #<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 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) #<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 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) #<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 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | z | @ | inf | ((* (* (neg z) z) (/ 1 z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (neg z) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ (* (neg z) z) (* x x)) (neg z)) |
| 3.0ms | z | @ | 0 | ((* (* (neg z) z) (/ 1 z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (neg z) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ (* (neg z) z) (* x x)) (neg z)) |
| 2.0ms | x | @ | 0 | ((* (* (neg z) z) (/ 1 z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (neg z) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ (* (neg z) z) (* x x)) (neg z)) |
| 2.0ms | z | @ | -inf | ((* (* (neg z) z) (/ 1 z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (neg z) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ (* (neg z) z) (* x x)) (neg z)) |
| 2.0ms | x | @ | -inf | ((* (* (neg z) z) (/ 1 z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (neg z) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ (* (neg z) z) (* x x)) (neg z)) |
| 1× | egg-herbie |
| 10 736× | lower-fma.f64 |
| 10 736× | lower-fma.f32 |
| 5 724× | lower-*.f64 |
| 5 724× | lower-*.f32 |
| 2 506× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 1922 |
| 1 | 433 | 1728 |
| 2 | 1292 | 1670 |
| 3 | 4334 | 1652 |
| 0 | 8492 | 1574 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -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)))) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
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) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 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 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)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 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 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 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)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -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)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(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 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)) |
(* -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 (- (+ 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)) |
(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)) |
(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)))) |
(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))))) |
(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))) |
(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 |
|---|
(* -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)) (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 #s(literal 1/2 binary64) z) 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)))))))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (pow.f64 y y)) (exp.f64 x) (*.f64 (*.f64 z z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) (*.f64 (pow.f64 y y) (exp.f64 x))))) |
(+ 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) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
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)) (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 #s(literal 1/2 binary64) z) 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)))))))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (pow.f64 y y)) (exp.f64 x) (*.f64 (*.f64 z z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) (*.f64 (pow.f64 y y) (exp.f64 x))))) |
(+ 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) |
(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) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 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 (-.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) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 z) |
(neg.f64 z) |
(* 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)) |
(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) |
(* -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) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 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 (-.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) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 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))))) |
(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) |
(* -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) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 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))))) |
(fma.f64 (*.f64 (exp.f64 (-.f64 x z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) (log.f64 y))) y (exp.f64 (-.f64 x z))) |
(+ (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 (exp.f64 (-.f64 x z)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) y) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #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) |
(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))))) |
(fma.f64 (*.f64 (exp.f64 (-.f64 x z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) (log.f64 y))) y (exp.f64 (-.f64 x z))) |
(+ (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 (exp.f64 (-.f64 x z)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) y) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #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) |
(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) |
(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) |
(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)) |
(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)) |
(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 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
(+ (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)))))))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) x (/.f64 (pow.f64 y y) (exp.f64 z))) |
(- (* 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) |
(* -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 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
(+ (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)))))))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) x (/.f64 (pow.f64 y y) (exp.f64 z))) |
(- (* 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) |
(* -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)) |
(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))) |
(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) |
(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))) |
(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)) |
(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))) |
(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) |
(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))) |
(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)) |
| 4 998× | lower-fma.f32 |
| 4 996× | lower-fma.f64 |
| 4 852× | lower-*.f32 |
| 4 846× | lower-*.f64 |
| 4 252× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 108 |
| 0 | 30 | 106 |
| 1 | 109 | 90 |
| 2 | 787 | 66 |
| 0 | 8627 | 62 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (neg.f64 z) z) |
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) |
#s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(neg.f64 z) |
| Outputs |
|---|
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Compiled 8 295 to 1 439 computations (82.7% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 533 | 4 | 537 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 3 | 3 |
| Total | 535 | 7 | 542 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 49.7% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)))) |
| ▶ | 48.0% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x)))) |
| ✓ | 76.3% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
| ▶ | 52.3% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))) |
| ▶ | 52.3% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)))) |
| ✓ | 60.5% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) |
| ✓ | 52.3% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
Compiled 60 to 60 computations (0% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)) | |
| cost-diff | 0 | #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x))) | |
| cost-diff | 0 | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)))) | |
| 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 z x)) | |
| cost-diff | 0 | #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x))) | |
| cost-diff | 0 | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) | |
| cost-diff | 0 | #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) | |
| cost-diff | 0 | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))) | |
| cost-diff | 1216 | (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) | |
| cost-diff | 0 | #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))) | |
| cost-diff | 0 | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)))) | |
| cost-diff | 1216 | (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) | |
| cost-diff | 1344 | (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)) |
| 3 888× | lower-fma.f64 |
| 3 888× | lower-fma.f32 |
| 3 612× | lower-*.f32 |
| 3 602× | lower-*.f64 |
| 2 078× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 315 |
| 0 | 51 | 355 |
| 1 | 77 | 305 |
| 2 | 144 | 249 |
| 3 | 313 | 249 |
| 4 | 644 | 249 |
| 5 | 2126 | 249 |
| 6 | 3383 | 249 |
| 7 | 7360 | 249 |
| 0 | 8663 | 241 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(*.f64 z z) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(*.f64 z 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 z x))) |
(/.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 z x) |
z |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)))) |
#s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x))) |
(/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)) |
#s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
(+.f64 z x) |
x |
| Outputs |
|---|
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
#s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)) |
(neg.f64 z) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) |
(*.f64 (neg.f64 z) z) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(neg.f64 z) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(*.f64 z z) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
#s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(neg.f64 z) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(*.f64 z 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 z x))) |
(/.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 z x) |
z |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)))) |
#s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x))) |
(/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)) |
#s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
(+.f64 z x) |
x |
Found 16 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 (neg.f64 z) z)) (+.f64 z x)))) | |
| accuracy | 24.904401688610506 | #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x))) | |
| accuracy | 28.914764238861228 | #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) | |
| accuracy | 29.740481238962662 | (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)) | |
| accuracy | 0 | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x)))) | |
| accuracy | 24.904401688610506 | #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x))) | |
| accuracy | 27.671741337701157 | #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) | |
| accuracy | 29.740481238962662 | (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x)) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0 | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))) | |
| accuracy | 32.75019149365244 | (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) | |
| accuracy | 44.90730724506009 | #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) | |
| accuracy | 0 | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)))) | |
| accuracy | 32.75019149365244 | (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) | |
| accuracy | 32.75019149365244 | (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)) | |
| accuracy | 44.90730724506009 | #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))) |
| 60.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 185 to 24 computations (87% saved)
ival-mult: 13.0ms (42.6% of total)ival-div: 5.0ms (16.4% of total)ival-add: 4.0ms (13.1% of total)ival-log: 4.0ms (13.1% of total)ival-exp: 2.0ms (6.6% of total)ival-sub: 1.0ms (3.3% of total)ival-neg: 1.0ms (3.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ()) |
#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ()) |
#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x)) #<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>) () ()) |
#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 z) (taylor 0 z) (#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) #<representation binary64>) () ())) ()) |
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#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 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z 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 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z 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 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z 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 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x)))) #<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 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x))) #<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 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x))) #<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 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x))) #<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 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x)) #<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 z x)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x)) #<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 z x)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x)) #<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 z x)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x)) #<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 (neg.f64 z) z)) (+.f64 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z 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 (neg.f64 z) z)) (+.f64 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z 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 (neg.f64 z) z)) (+.f64 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z 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 (neg.f64 z) z)) (+.f64 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)))) #<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 (neg.f64 z) z)) (+.f64 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x))) #<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 (neg.f64 z) z)) (+.f64 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x))) #<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 (neg.f64 z) z)) (+.f64 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x))) #<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 (neg.f64 z) z)) (+.f64 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) #<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 (neg.f64 z) z)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) #<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 (neg.f64 z) z)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) #<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 (neg.f64 z) z)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | z | @ | inf | ((* (* (* (/ -1 z) (* z z)) z) (/ 1 z)) (* (/ -1 z) (* z z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ -1 z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (+ (* (neg z) z) (* x x)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (+ (* (neg z) z) (* x x)) (* z z)) |
| 3.0ms | x | @ | 0 | ((* (* (* (/ -1 z) (* z z)) z) (/ 1 z)) (* (/ -1 z) (* z z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ -1 z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (+ (* (neg z) z) (* x x)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (+ (* (neg z) z) (* x x)) (* z z)) |
| 2.0ms | z | @ | 0 | ((* (* (* (/ -1 z) (* z z)) z) (/ 1 z)) (* (/ -1 z) (* z z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ -1 z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (+ (* (neg z) z) (* x x)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (+ (* (neg z) z) (* x x)) (* z z)) |
| 2.0ms | z | @ | -inf | ((* (* (* (/ -1 z) (* z z)) z) (/ 1 z)) (* (/ -1 z) (* z z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ -1 z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (+ (* (neg z) z) (* x x)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (+ (* (neg z) z) (* x x)) (* z z)) |
| 2.0ms | y | @ | -inf | ((* (* (* (/ -1 z) (* z z)) z) (/ 1 z)) (* (/ -1 z) (* z z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ -1 z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (+ (* (neg z) z) (* x x)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (+ (* (neg z) z) (* x x)) (* z z)) |
| 1× | egg-herbie |
| 10 736× | lower-fma.f64 |
| 10 736× | lower-fma.f32 |
| 5 724× | lower-*.f64 |
| 5 724× | lower-*.f32 |
| 2 506× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 143 | 3772 |
| 1 | 434 | 3384 |
| 2 | 1292 | 3268 |
| 3 | 4335 | 3232 |
| 0 | 8469 | 3076 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -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)))) |
(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)))) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -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)))) |
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)))) |
(+ (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)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 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 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 (* 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) |
(/ -1 z) |
(/ -1 z) |
(/ -1 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 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 (* 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)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 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))))) |
(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 z) |
(/ -1 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 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 (+ (* -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)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(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 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 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 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)) |
(* -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)) |
(* -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)) |
(* -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 (- (+ 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 (- (+ 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 (- (+ 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) |
(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) |
(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 (- (* 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))) |
(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))) |
(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 (- (+ 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))) |
(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))) |
(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))))) |
(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 |
|---|
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 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)) (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 #s(literal 1/2 binary64) z) 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)))))))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (pow.f64 y y)) (exp.f64 x) (*.f64 (*.f64 z z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) (*.f64 (pow.f64 y y) (exp.f64 x))))) |
(+ 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)))) |
(*.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)) (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 #s(literal 1/2 binary64) z) 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)))))))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (pow.f64 y y)) (exp.f64 x) (*.f64 (*.f64 z z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) (*.f64 (pow.f64 y y) (exp.f64 x))))) |
(+ 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) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(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)) (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 #s(literal 1/2 binary64) z) 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)))))))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (pow.f64 y y)) (exp.f64 x) (*.f64 (*.f64 z z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) (*.f64 (pow.f64 y y) (exp.f64 x))))) |
(+ 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) |
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)))) |
(*.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))))))))) |
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(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.f64 x z)) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.f64 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)) |
(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))) |
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.f64 x z)) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.f64 x z)) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.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) |
(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)))) |
(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))) |
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.f64 x z)) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.f64 x z)) |
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.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) |
(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)) |
| 11 878× | lower-fma.f64 |
| 11 878× | lower-fma.f32 |
| 5 166× | lower-*.f32 |
| 5 156× | lower-*.f64 |
| 3 410× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 266 |
| 0 | 51 | 272 |
| 1 | 147 | 210 |
| 2 | 914 | 210 |
| 0 | 8664 | 202 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))) |
#s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
(/.f64 #s(literal -1 binary64) 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 z x))) |
(/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x)) |
#s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)))) |
#s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x))) |
(/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)) |
#s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) |
(*.f64 z z) |
| Outputs |
|---|
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Compiled 11 710 to 1 617 computations (86.2% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 886 | 0 | 886 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 3 | 3 |
| Total | 886 | 7 | 893 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 49.7% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)))) |
| ✓ | 48.0% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x)))) |
| ✓ | 76.3% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
| ✓ | 52.3% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))) |
| ✓ | 52.3% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)))) |
| ✓ | 60.5% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) |
| ✓ | 52.3% | (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) |
Compiled 152 to 107 computations (29.6% 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 z x)))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) 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 | z |
| 5.0ms | (*.f64 y (log.f64 y)) |
| 4.0ms | x |
| 4.0ms | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 4.0ms | (+.f64 x (*.f64 y (log.f64 y))) |
| 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 z x)))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) 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:
| 14.0ms | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| 5.0ms | (*.f64 y (log.f64 y)) |
| 3.0ms | z |
| 3.0ms | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 3.0ms | (+.f64 x (*.f64 y (log.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.6% | 3 | x |
| 94.5% | 2 | y |
| 84.3% | 5 | z |
| 83.3% | 2 | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| 84.0% | 2 | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 89.6% | 2 | (+.f64 x (*.f64 y (log.f64 y))) |
| 94.5% | 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 z x)))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) |
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)))) |
| Outputs |
|---|
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) |
7 calls:
| 16.0ms | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 4.0ms | x |
| 3.0ms | (*.f64 y (log.f64 y)) |
| 3.0ms | (+.f64 x (*.f64 y (log.f64 y))) |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.3% | 1 | x |
| 76.3% | 1 | z |
| 76.3% | 1 | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| 76.3% | 1 | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 76.3% | 1 | (+.f64 x (*.f64 y (log.f64 y))) |
| 76.3% | 1 | y |
| 76.3% | 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:
| 2.0ms | y |
| 1.0ms | (*.f64 y (log.f64 y)) |
| 1.0ms | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 1.0ms | (+.f64 x (*.f64 y (log.f64 y))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.3% | 1 | x |
| 52.3% | 1 | y |
| 52.3% | 1 | z |
| 52.3% | 1 | (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
| 52.3% | 1 | (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) |
| 52.3% | 1 | (+.f64 x (*.f64 y (log.f64 y))) |
| 52.3% | 1 | (*.f64 y (log.f64 y)) |
Compiled 30 to 35 computations (-16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.323991473725103e+22 | 1.2865605786678842e+25 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | egg-herbie |
| 8× | +-commutative-binary64-+.f64 |
| 6× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 4× | *-commutative-binary64-*.f64 |
| 2× | neg-sub0-binary64--.f64-neg.f64 |
| 2× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 68 |
| 1 | 32 | 68 |
| 2 | 36 | 68 |
| 3 | 37 | 68 |
| 1× | saturated |
| Inputs |
|---|
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) |
(if (<=.f64 (*.f64 y (log.f64 y)) #s(literal 49999999999999995805696 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 49999999999999995805696 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 49999999999999995805696 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))) |
| 12 444× | lower-fma.f64 |
| 12 444× | lower-fma.f32 |
| 5 864× | lower-*.f64 |
| 5 864× | lower-*.f32 |
| 1 620× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 1007 |
| 1 | 407 | 910 |
| 2 | 1245 | 875 |
| 3 | 4149 | 843 |
| 0 | 8320 | 785 |
| 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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