
Time bar (total: 10.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 74.9% | 0.1% | 0% | 25% | 0% | 3 |
| 0% | 0% | 74.9% | 0.1% | 0% | 25% | 0% | 4 |
| 0% | 0% | 74.9% | 0.1% | 0% | 25% | 0% | 5 |
| 30% | 18.7% | 43.7% | 0.1% | 0% | 37.4% | 0% | 6 |
| 30% | 18.7% | 43.7% | 0.1% | 0% | 37.4% | 0% | 7 |
| 35% | 21.8% | 40.6% | 0.1% | 0% | 37.4% | 0% | 8 |
| 52.8% | 29.6% | 26.5% | 0.1% | 0% | 43.7% | 0% | 9 |
| 52.8% | 29.6% | 26.5% | 0.1% | 0% | 43.7% | 0% | 10 |
| 59.7% | 33.5% | 22.6% | 0.1% | 0% | 43.7% | 0% | 11 |
| 72.8% | 38.6% | 14.4% | 0.1% | 0% | 46.8% | 0% | 12 |
Compiled 10 to 9 computations (10% saved)
| 706.0ms | 8 256× | 0 | valid |
| 61.0ms | 508× | 0 | invalid |
ival-div: 154.0ms (36.1% of total)ival-log: 154.0ms (36.1% of total)ival-mult: 68.0ms (15.9% of total)ival-sub: 41.0ms (9.6% of total)ival-true: 7.0ms (1.6% of total)ival-assert: 4.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 57 | 0 | - | 2 | (-1.7217886326541307e-267 -3.8396020897422527e+48 -3.0594883107828012e+60) | (log.f64 (/.f64 x y)) |
| 0 | 0 | - | 0 | - | (/.f64 x y) |
| 0 | 0 | - | 0 | - | (*.f64 x (log.f64 (/.f64 x y))) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (/.f64 x y)) | oflow-rescue | 30 | 0 |
| ↳ | (/.f64 x y) | overflow | 30 | |
log.f64 | (log.f64 (/.f64 x y)) | uflow-rescue | 4 | 0 |
| ↳ | (/.f64 x y) | underflow | 25 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 33 | 21 |
| - | 1 | 201 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 33 | 0 | 21 |
| - | 1 | 0 | 201 |
| number | freq |
|---|---|
| 0 | 222 |
| 1 | 34 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 33.0ms | 512× | 0 | valid |
Compiled 60 to 25 computations (58.3% saved)
ival-log: 7.0ms (39.2% of total)ival-div: 5.0ms (28% of total)ival-mult: 3.0ms (16.8% of total)ival-sub: 2.0ms (11.2% of total)ival-true: 1.0ms (5.6% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 330× | associate-*l* |
| 288× | associate-*r* |
| 214× | distribute-rgt-in |
| 208× | lower-fma.f64 |
| 208× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 83 |
| 1 | 65 | 81 |
| 2 | 144 | 78 |
| 3 | 328 | 78 |
| 4 | 555 | 78 |
| 5 | 945 | 78 |
| 6 | 1525 | 78 |
| 7 | 1867 | 78 |
| 8 | 2098 | 78 |
| 9 | 2174 | 78 |
| 10 | 2194 | 78 |
| 11 | 2196 | 78 |
| 12 | 2200 | 78 |
| 0 | 7 | 8 |
| 0 | 11 | 8 |
| 1 | 14 | 8 |
| 2 | 19 | 8 |
| 3 | 25 | 8 |
| 4 | 39 | 8 |
| 5 | 60 | 8 |
| 6 | 111 | 8 |
| 7 | 172 | 8 |
| 8 | 243 | 8 |
| 9 | 293 | 8 |
| 10 | 376 | 8 |
| 11 | 416 | 8 |
| 12 | 505 | 8 |
| 13 | 527 | 8 |
| 14 | 541 | 8 |
| 15 | 587 | 8 |
| 16 | 591 | 8 |
| 0 | 591 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
| Outputs |
|---|
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
Compiled 8 to 7 computations (12.5% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 79.7% | (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
Compiled 8 to 7 computations (12.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (log.f64 (/.f64 x y)) | |
| cost-diff | 0 | (*.f64 x (log.f64 (/.f64 x y))) | |
| cost-diff | 0 | (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
| 208× | lower-fma.f64 |
| 208× | lower-fma.f32 |
| 160× | lower-*.f32 |
| 158× | lower-*.f64 |
| 72× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 24 |
| 0 | 11 | 24 |
| 1 | 14 | 24 |
| 2 | 19 | 24 |
| 3 | 25 | 24 |
| 4 | 39 | 24 |
| 5 | 60 | 24 |
| 6 | 111 | 24 |
| 7 | 172 | 24 |
| 8 | 243 | 24 |
| 9 | 293 | 24 |
| 10 | 376 | 24 |
| 11 | 416 | 24 |
| 12 | 505 | 24 |
| 13 | 527 | 24 |
| 14 | 541 | 24 |
| 15 | 587 | 24 |
| 16 | 591 | 24 |
| 0 | 591 | 24 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
(*.f64 x (log.f64 (/.f64 x y))) |
x |
(log.f64 (/.f64 x y)) |
(/.f64 x y) |
y |
z |
| Outputs |
|---|
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(*.f64 x (log.f64 (/.f64 x y))) |
(*.f64 (log.f64 (/.f64 x y)) x) |
x |
(log.f64 (/.f64 x y)) |
(/.f64 x y) |
y |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.00390625 | (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) | |
| accuracy | 0.30859375 | (*.f64 x (log.f64 (/.f64 x y))) | |
| accuracy | 13.527339401004301 | (log.f64 (/.f64 x y)) |
| 19.0ms | 256× | 0 | valid |
Compiled 26 to 9 computations (65.4% saved)
ival-log: 6.0ms (51.9% of total)ival-div: 2.0ms (17.3% of total)ival-mult: 2.0ms (17.3% of total)ival-sub: 1.0ms (8.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ()) |
#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (log (/ x y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ (* x (log (/ x y))) z) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ (* x (log (/ x y))) z) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ (* x (log (/ x y))) z) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (log x) (* -1 (log y)))) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (log x) (* -1 (log y)))) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (log x) (* -1 (log y)))) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (log x) (* -1 (log y)))) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log x) (* -1 (log y)))) (taylor 0 y) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log x) (* -1 (log y)))) (taylor 0 y) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log x) (* -1 (log y)))) (taylor 0 y) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log x) (* -1 (log y)))) (taylor 0 y) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log x) (* -1 (log y))) (taylor 0 y) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log x) (* -1 (log y))) (taylor 0 y) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log x) (* -1 (log y))) (taylor 0 y) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log x) (* -1 (log y))) (taylor 0 y) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (log x) (log (/ 1 y)))) z) (taylor inf y) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (log x) (log (/ 1 y)))) z) (taylor inf y) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (log x) (log (/ 1 y)))) z) (taylor inf y) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (log x) (log (/ 1 y)))) z) (taylor inf y) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log x) (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log x) (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log x) (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log x) (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log x) (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log x) (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log x) (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log x) (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (log (* -1 x)) (log (/ -1 y)))) z) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (log (* -1 x)) (log (/ -1 y)))) z) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (log (* -1 x)) (log (/ -1 y)))) z) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (log (* -1 x)) (log (/ -1 y)))) z) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log (* -1 x)) (log (/ -1 y)))) (taylor -inf y) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log (* -1 x)) (log (/ -1 y)))) (taylor -inf y) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log (* -1 x)) (log (/ -1 y)))) (taylor -inf y) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log (* -1 x)) (log (/ -1 y)))) (taylor -inf y) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1 x)) (log (/ -1 y))) (taylor -inf y) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1 x)) (log (/ -1 y))) (taylor -inf y) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1 x)) (log (/ -1 y))) (taylor -inf y) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1 x)) (log (/ -1 y))) (taylor -inf y) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (log x) (log (/ 1 y)))) z) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (log x) (log (/ 1 y)))) z) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (log x) (log (/ 1 y)))) z) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log x) (log (/ 1 y)))) (taylor 0 x) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log x) (log (/ 1 y)))) (taylor 0 x) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log x) (log (/ 1 y)))) (taylor 0 x) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log x) (log (/ 1 y)))) (taylor 0 x) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log x) (log (/ 1 y))) (taylor 0 x) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log x) (log (/ 1 y))) (taylor 0 x) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log x) (log (/ 1 y))) (taylor 0 x) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log x) (log (/ 1 y))) (taylor 0 x) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) (taylor inf x) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ z x))))) (taylor inf x) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ z x))))) (taylor inf x) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ z x))))) (taylor inf x) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) (taylor inf x) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) (taylor inf x) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) (taylor inf x) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) (taylor inf x) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 44.0ms | y | @ | -inf | ((- (* x (log (/ x y))) z) (* x (log (/ x y))) (log (/ x y)) (/ x y)) |
| 36.0ms | x | @ | -inf | ((- (* x (log (/ x y))) z) (* x (log (/ x y))) (log (/ x y)) (/ x y)) |
| 26.0ms | y | @ | 0 | ((- (* x (log (/ x y))) z) (* x (log (/ x y))) (log (/ x y)) (/ x y)) |
| 24.0ms | x | @ | 0 | ((- (* x (log (/ x y))) z) (* x (log (/ x y))) (log (/ x y)) (/ x y)) |
| 7.0ms | x | @ | inf | ((- (* x (log (/ x y))) z) (* x (log (/ x y))) (log (/ x y)) (/ x y)) |
| 1× | egg-herbie |
| 13 420× | lower-fma.f64 |
| 13 420× | lower-fma.f32 |
| 2 490× | lower-*.f64 |
| 2 490× | lower-*.f32 |
| 2 412× | lower-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 775 |
| 1 | 154 | 719 |
| 2 | 424 | 719 |
| 3 | 1132 | 719 |
| 4 | 2897 | 719 |
| 5 | 4858 | 719 |
| 6 | 5921 | 719 |
| 7 | 6565 | 719 |
| 8 | 6831 | 719 |
| 9 | 6911 | 719 |
| 10 | 7952 | 719 |
| 0 | 8339 | 719 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (log (/ x y))) |
(+ (* -1 z) (* x (log (/ x y)))) |
(+ (* -1 z) (* x (log (/ x y)))) |
(+ (* -1 z) (* x (log (/ x y)))) |
(* -1 z) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z))))) |
(- (* x (+ (log x) (* -1 (log y)))) z) |
(- (* x (+ (log x) (* -1 (log y)))) z) |
(- (* x (+ (log x) (* -1 (log y)))) z) |
(- (* x (+ (log x) (* -1 (log y)))) z) |
(* x (+ (log x) (* -1 (log y)))) |
(* x (+ (log x) (* -1 (log y)))) |
(* x (+ (log x) (* -1 (log y)))) |
(* x (+ (log x) (* -1 (log y)))) |
(+ (log x) (* -1 (log y))) |
(+ (log x) (* -1 (log y))) |
(+ (log x) (* -1 (log y))) |
(+ (log x) (* -1 (log y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(- (* x (+ (log x) (log (/ 1 y)))) z) |
(- (* x (+ (log x) (log (/ 1 y)))) z) |
(- (* x (+ (log x) (log (/ 1 y)))) z) |
(- (* x (+ (log x) (log (/ 1 y)))) z) |
(* x (+ (log x) (log (/ 1 y)))) |
(* x (+ (log x) (log (/ 1 y)))) |
(* x (+ (log x) (log (/ 1 y)))) |
(* x (+ (log x) (log (/ 1 y)))) |
(+ (log x) (log (/ 1 y))) |
(+ (log x) (log (/ 1 y))) |
(+ (log x) (log (/ 1 y))) |
(+ (log x) (log (/ 1 y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(- (* x (+ (log (* -1 x)) (log (/ -1 y)))) z) |
(- (* x (+ (log (* -1 x)) (log (/ -1 y)))) z) |
(- (* x (+ (log (* -1 x)) (log (/ -1 y)))) z) |
(- (* x (+ (log (* -1 x)) (log (/ -1 y)))) z) |
(* x (+ (log (* -1 x)) (log (/ -1 y)))) |
(* x (+ (log (* -1 x)) (log (/ -1 y)))) |
(* x (+ (log (* -1 x)) (log (/ -1 y)))) |
(* x (+ (log (* -1 x)) (log (/ -1 y)))) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -1 z) |
(- (* x (+ (log x) (log (/ 1 y)))) z) |
(- (* x (+ (log x) (log (/ 1 y)))) z) |
(- (* x (+ (log x) (log (/ 1 y)))) z) |
(* x (+ (log x) (log (/ 1 y)))) |
(* x (+ (log x) (log (/ 1 y)))) |
(* x (+ (log x) (log (/ 1 y)))) |
(* x (+ (log x) (log (/ 1 y)))) |
(+ (log x) (log (/ 1 y))) |
(+ (log x) (log (/ 1 y))) |
(+ (log x) (log (/ 1 y))) |
(+ (log x) (log (/ 1 y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) |
(* x (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ z x))))) |
(* x (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ z x))))) |
(* x (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ z x))))) |
(* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) |
(* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) |
(* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) |
(* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) |
(+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) |
(+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) |
(+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) |
(+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) |
(* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) |
(* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) |
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) |
(+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) |
(+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) |
(+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
| Outputs |
|---|
(* x (log (/ x y))) |
(*.f64 (log.f64 (/.f64 x y)) x) |
(+ (* -1 z) (* x (log (/ x y)))) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(+ (* -1 z) (* x (log (/ x y)))) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(+ (* -1 z) (* x (log (/ x y)))) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z))))) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z))))) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z))))) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(- (* x (+ (log x) (* -1 (log y)))) z) |
(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)) |
(- (* x (+ (log x) (* -1 (log y)))) z) |
(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)) |
(- (* x (+ (log x) (* -1 (log y)))) z) |
(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)) |
(- (* x (+ (log x) (* -1 (log y)))) z) |
(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)) |
(* x (+ (log x) (* -1 (log y)))) |
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) |
(* x (+ (log x) (* -1 (log y)))) |
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) |
(* x (+ (log x) (* -1 (log y)))) |
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) |
(* x (+ (log x) (* -1 (log y)))) |
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) |
(+ (log x) (* -1 (log y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log x) (* -1 (log y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log x) (* -1 (log y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log x) (* -1 (log y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(- (* x (+ (log x) (log (/ 1 y)))) z) |
(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)) |
(- (* x (+ (log x) (log (/ 1 y)))) z) |
(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)) |
(- (* x (+ (log x) (log (/ 1 y)))) z) |
(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)) |
(- (* x (+ (log x) (log (/ 1 y)))) z) |
(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)) |
(* x (+ (log x) (log (/ 1 y)))) |
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) |
(* x (+ (log x) (log (/ 1 y)))) |
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) |
(* x (+ (log x) (log (/ 1 y)))) |
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) |
(* x (+ (log x) (log (/ 1 y)))) |
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) |
(+ (log x) (log (/ 1 y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log x) (log (/ 1 y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log x) (log (/ 1 y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log x) (log (/ 1 y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(- (* x (+ (log (* -1 x)) (log (/ -1 y)))) z) |
(fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)) |
(- (* x (+ (log (* -1 x)) (log (/ -1 y)))) z) |
(fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)) |
(- (* x (+ (log (* -1 x)) (log (/ -1 y)))) z) |
(fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)) |
(- (* x (+ (log (* -1 x)) (log (/ -1 y)))) z) |
(fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)) |
(* x (+ (log (* -1 x)) (log (/ -1 y)))) |
(*.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) |
(* x (+ (log (* -1 x)) (log (/ -1 y)))) |
(*.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) |
(* x (+ (log (* -1 x)) (log (/ -1 y)))) |
(*.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) |
(* x (+ (log (* -1 x)) (log (/ -1 y)))) |
(*.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* -1 z) |
(neg.f64 z) |
(- (* x (+ (log x) (log (/ 1 y)))) z) |
(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)) |
(- (* x (+ (log x) (log (/ 1 y)))) z) |
(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)) |
(- (* x (+ (log x) (log (/ 1 y)))) z) |
(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)) |
(* x (+ (log x) (log (/ 1 y)))) |
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) |
(* x (+ (log x) (log (/ 1 y)))) |
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) |
(* x (+ (log x) (log (/ 1 y)))) |
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) |
(* x (+ (log x) (log (/ 1 y)))) |
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) |
(+ (log x) (log (/ 1 y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log x) (log (/ 1 y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log x) (log (/ 1 y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log x) (log (/ 1 y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) |
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) |
(* x (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ z x))))) |
(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)) |
(* x (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ z x))))) |
(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)) |
(* x (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ z x))))) |
(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)) |
(* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) |
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) |
(* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) |
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) |
(* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) |
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) |
(* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) |
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) |
(+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(*.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) |
(* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) |
(fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) |
(fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) |
(fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)) |
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(*.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) |
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(*.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) |
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(*.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) |
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(*.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) |
(+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
| 5 984× | lower-fma.f64 |
| 5 984× | lower-fma.f32 |
| 4 206× | lower-*.f32 |
| 4 204× | lower-*.f64 |
| 3 642× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 0 | 11 | 21 |
| 1 | 38 | 21 |
| 2 | 230 | 21 |
| 3 | 2061 | 21 |
| 0 | 8395 | 21 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
(*.f64 x (log.f64 (/.f64 x y))) |
(log.f64 (/.f64 x y)) |
(/.f64 x y) |
| Outputs |
|---|
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Compiled 12 069 to 1 177 computations (90.2% saved)
20 alts after pruning (19 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 398 | 19 | 417 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 398 | 20 | 418 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 47.8% | (fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) |
| 48.6% | (fma.f64 (*.f64 (*.f64 x x) (log.f64 (/.f64 x y))) (/.f64 (log.f64 (/.f64 x y)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) | |
| 47.8% | (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) | |
| ▶ | 79.7% | (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
| ▶ | 48.4% | (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) |
| 22.6% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (*.f64 z z))) (*.f64 (/.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (*.f64 z z)))) | |
| 79.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))) | |
| 46.2% | (-.f64 (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)) z) | |
| 39.7% | (-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (log.f64 (*.f64 y x))) z) | |
| 53.2% | (-.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))))))) z) | |
| 53.1% | (-.f64 (*.f64 x (-.f64 (/.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))))) (/.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))))))) z) | |
| 53.2% | (-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) | |
| ▶ | 46.2% | (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) |
| 79.6% | (-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) | |
| ✓ | 79.7% | (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
| 48.3% | (*.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64))) | |
| 77.8% | (*.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64)))) | |
| 25.6% | #s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)) | |
| 44.6% | #s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x)) | |
| ▶ | 48.0% | #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) |
Compiled 824 to 465 computations (43.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (log.f64 (/.f64 y x)) | |
| cost-diff | 0 | (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) | |
| cost-diff | 7872 | (fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) | |
| cost-diff | 0 | (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) | |
| cost-diff | 14976 | (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) | |
| cost-diff | 0 | (log.f64 x) | |
| cost-diff | 0 | (-.f64 (log.f64 x) (log.f64 y)) | |
| cost-diff | 0 | (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) | |
| cost-diff | 0 | (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (log.f64 (/.f64 x y)) | |
| cost-diff | 0 | (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
| 10 416× | lower-fma.f32 |
| 10 408× | lower-fma.f64 |
| 3 560× | lower-*.f32 |
| 3 552× | lower-*.f64 |
| 1 618× | lower-+.f64 |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 229 |
| 0 | 57 | 217 |
| 1 | 88 | 217 |
| 2 | 158 | 217 |
| 3 | 328 | 217 |
| 4 | 675 | 217 |
| 5 | 1346 | 217 |
| 6 | 2626 | 212 |
| 7 | 4310 | 211 |
| 8 | 5586 | 211 |
| 9 | 6516 | 211 |
| 10 | 7143 | 211 |
| 11 | 7576 | 211 |
| 12 | 7773 | 211 |
| 0 | 8145 | 211 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(log.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(neg.f64 z) |
z |
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) |
(neg.f64 z) |
z |
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) |
(*.f64 x (-.f64 (log.f64 x) (log.f64 y))) |
x |
(-.f64 (log.f64 x) (log.f64 y)) |
(log.f64 x) |
(log.f64 y) |
y |
z |
(/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) |
(fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) |
(neg.f64 z) |
z |
(pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64)) |
(*.f64 (log.f64 (/.f64 x y)) x) |
(log.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
(fma.f64 (log.f64 (/.f64 x y)) x z) |
(fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) |
(pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) |
(log.f64 (/.f64 y x)) |
(/.f64 y x) |
y |
x |
#s(literal 2 binary64) |
(/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) |
(*.f64 x x) |
(fma.f64 (log.f64 (/.f64 x y)) x z) |
(log.f64 (/.f64 x y)) |
(/.f64 x y) |
z |
(neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))) |
(/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)) |
(*.f64 z z) |
| Outputs |
|---|
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(log.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(neg.f64 z) |
z |
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) |
(neg.f64 z) |
z |
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) |
(fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z)) |
(*.f64 x (-.f64 (log.f64 x) (log.f64 y))) |
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) |
x |
(-.f64 (log.f64 x) (log.f64 y)) |
(log.f64 x) |
(log.f64 y) |
y |
z |
(/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) |
(neg.f64 z) |
z |
(pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64)) |
(*.f64 (log.f64 (/.f64 x y)) x) |
(log.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
(fma.f64 (log.f64 (/.f64 x y)) x z) |
(fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) x (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (/.f64 x y)) x z))) |
(pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) |
(log.f64 (/.f64 y x)) |
(/.f64 y x) |
y |
x |
#s(literal 2 binary64) |
(/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) |
(*.f64 x x) |
(fma.f64 (log.f64 (/.f64 x y)) x z) |
(log.f64 (/.f64 x y)) |
(/.f64 x y) |
z |
(neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))) |
(/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (log.f64 (/.f64 x y)) x z)) |
(/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)) |
(*.f64 z z) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 6.846709031329449 | (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)) | |
| accuracy | 7.168584118353645 | (log.f64 (/.f64 x y)) | |
| accuracy | 7.224089007542676 | (log.f64 (/.f64 y x)) | |
| accuracy | 8.56942411620784 | (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) | |
| accuracy | 0.1484375 | (*.f64 (log.f64 (/.f64 x y)) x) | |
| accuracy | 0.24999724760556022 | (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) | |
| accuracy | 7.168584118353645 | (log.f64 (/.f64 x y)) | |
| accuracy | 12.393768282006846 | (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) | |
| accuracy | 0 | (log.f64 x) | |
| accuracy | 0.00390625 | (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) | |
| accuracy | 0.1484375 | (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) | |
| accuracy | 0.3323111920510797 | (-.f64 (log.f64 x) (log.f64 y)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 16.073056438479643 | #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.0859375 | (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) | |
| accuracy | 7.168584118353645 | (log.f64 (/.f64 x y)) |
| 36.0ms | 137× | 0 | invalid |
| 35.0ms | 119× | 0 | valid |
Compiled 240 to 33 computations (86.3% saved)
ival-div: 11.0ms (23.1% of total)ival-mult: 11.0ms (23.1% of total)ival-log: 11.0ms (23.1% of total)ival-pow2: 5.0ms (10.5% of total)ival-add: 4.0ms (8.4% of total)ival-sub: 3.0ms (6.3% of total)ival-neg: 2.0ms (4.2% 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 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (patch (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (patch #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) (patch (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) #<representation binary64>) () ()) |
#s(alt (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) (patch (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) #<representation binary64>) () ()) |
#s(alt (-.f64 (log.f64 x) (log.f64 y)) (patch (-.f64 (log.f64 x) (log.f64 y)) #<representation binary64>) () ()) |
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) (patch (fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (log.f64 (/.f64 y x)) (patch (log.f64 (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 (log.f64 (/.f64 x y)) x) (patch (*.f64 (log.f64 (/.f64 x y)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (log (/ x y))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (patch (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (patch (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (patch (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (patch (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* x (log (/ x y))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (patch #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (patch #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (patch #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (patch #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (log x) (log y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) (patch (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (- (log x) (log y)))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) (patch (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (- (log x) (log y)))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) (patch (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (- (log x) (log y)))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) (patch (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (log (/ x y))) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow (log (/ x y)) 2)) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow z 2)) (* (pow x 2) (pow (log (/ x y)) 2))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow z 2)) (* (pow x 2) (pow (log (/ x y)) 2))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow z 2)) (* (pow x 2) (pow (log (/ x y)) 2))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (pow (log (/ y x)) 2)) (log (/ x y))) (taylor 0 z) (#s(alt (fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) (patch (fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* z (pow (log (/ y x)) 2)) (pow (log (/ x y)) 2))) (/ (* x (pow (log (/ y x)) 2)) (log (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) (patch (fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* -1 (* z (+ (* -1 (/ (pow (log (/ y x)) 2) (* x (pow (log (/ x y)) 3)))) (/ 1 (* x (log (/ x y))))))) (/ (pow (log (/ y x)) 2) (pow (log (/ x y)) 2)))) (/ (* x (pow (log (/ y x)) 2)) (log (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) (patch (fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* z (- (* z (- (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))) (/ (pow (log (/ y x)) 2) (* (pow x 2) (pow (log (/ x y)) 4))))) (+ (* -1 (/ (pow (log (/ y x)) 2) (* x (pow (log (/ x y)) 3)))) (/ 1 (* x (log (/ x y))))))) (/ (pow (log (/ y x)) 2) (pow (log (/ x y)) 2)))) (/ (* x (pow (log (/ y x)) 2)) (log (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) (patch (fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (log (/ x y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ z (pow (log (/ x y)) 2))) (/ x (log (/ x y)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (log (* -1 y)) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 y x)) (patch (log.f64 (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1 y)) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 y x)) (patch (log.f64 (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 (log.f64 (/.f64 x y)) x) (patch (*.f64 (log.f64 (/.f64 x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 (log.f64 (/.f64 x y)) x) (patch (*.f64 (log.f64 (/.f64 x y)) x) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* -1 (/ (pow z 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) (/ (pow z 3) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)))) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 289.0ms | z | @ | inf | ((+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ x y) (neg z) (- (* x (log (/ x y))) z) (- (* x (- (log x) (log y))) z) (* x (- (log x) (log y))) (- (log x) (log y)) (log x) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (pow (* (log (/ x y)) x) 2) (+ (* (pow (log (/ y x)) 2) (/ (* x x) (+ (* (log (/ x y)) x) z))) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (pow (log (/ y x)) 2) (log (/ y x)) (/ y x) (* (log (/ x y)) x) (/ (* x x) (+ (* (log (/ x y)) x) z)) (/ (* z z) (+ (* (log (/ x y)) x) z))) |
| 111.0ms | y | @ | -inf | ((+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ x y) (neg z) (- (* x (log (/ x y))) z) (- (* x (- (log x) (log y))) z) (* x (- (log x) (log y))) (- (log x) (log y)) (log x) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (pow (* (log (/ x y)) x) 2) (+ (* (pow (log (/ y x)) 2) (/ (* x x) (+ (* (log (/ x y)) x) z))) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (pow (log (/ y x)) 2) (log (/ y x)) (/ y x) (* (log (/ x y)) x) (/ (* x x) (+ (* (log (/ x y)) x) z)) (/ (* z z) (+ (* (log (/ x y)) x) z))) |
| 96.0ms | y | @ | inf | ((+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ x y) (neg z) (- (* x (log (/ x y))) z) (- (* x (- (log x) (log y))) z) (* x (- (log x) (log y))) (- (log x) (log y)) (log x) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (pow (* (log (/ x y)) x) 2) (+ (* (pow (log (/ y x)) 2) (/ (* x x) (+ (* (log (/ x y)) x) z))) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (pow (log (/ y x)) 2) (log (/ y x)) (/ y x) (* (log (/ x y)) x) (/ (* x x) (+ (* (log (/ x y)) x) z)) (/ (* z z) (+ (* (log (/ x y)) x) z))) |
| 74.0ms | x | @ | 0 | ((+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ x y) (neg z) (- (* x (log (/ x y))) z) (- (* x (- (log x) (log y))) z) (* x (- (log x) (log y))) (- (log x) (log y)) (log x) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (pow (* (log (/ x y)) x) 2) (+ (* (pow (log (/ y x)) 2) (/ (* x x) (+ (* (log (/ x y)) x) z))) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (pow (log (/ y x)) 2) (log (/ y x)) (/ y x) (* (log (/ x y)) x) (/ (* x x) (+ (* (log (/ x y)) x) z)) (/ (* z z) (+ (* (log (/ x y)) x) z))) |
| 69.0ms | y | @ | 0 | ((+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ x y) (neg z) (- (* x (log (/ x y))) z) (- (* x (- (log x) (log y))) z) (* x (- (log x) (log y))) (- (log x) (log y)) (log x) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (pow (* (log (/ x y)) x) 2) (+ (* (pow (log (/ y x)) 2) (/ (* x x) (+ (* (log (/ x y)) x) z))) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (pow (log (/ y x)) 2) (log (/ y x)) (/ y x) (* (log (/ x y)) x) (/ (* x x) (+ (* (log (/ x y)) x) z)) (/ (* z z) (+ (* (log (/ x y)) x) z))) |
| 1× | egg-herbie |
| 7 838× | lower-fma.f64 |
| 7 838× | lower-fma.f32 |
| 6 478× | lower-*.f64 |
| 6 478× | lower-*.f32 |
| 2 330× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 561 | 7328 |
| 1 | 1688 | 6955 |
| 2 | 6022 | 6861 |
| 0 | 8616 | 6731 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (log (/ x y))) |
(+ (* -1 z) (* x (log (/ x y)))) |
(+ (* -1 z) (* x (log (/ x y)))) |
(+ (* -1 z) (* x (log (/ x y)))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* x (log (/ x y))) |
(+ (* -1 z) (* x (log (/ x y)))) |
(+ (* -1 z) (* x (log (/ x y)))) |
(+ (* -1 z) (* x (log (/ x y)))) |
(* x (- (log x) (log y))) |
(+ (* -1 z) (* x (- (log x) (log y)))) |
(+ (* -1 z) (* x (- (log x) (log y)))) |
(+ (* -1 z) (* x (- (log x) (log y)))) |
(* x (log (/ x y))) |
(+ (* -1 z) (* x (log (/ x y)))) |
(+ (* -1 z) (* x (log (/ x y)))) |
(+ (* -1 z) (* x (log (/ x y)))) |
(* (pow x 2) (pow (log (/ x y)) 2)) |
(+ (* -1 (pow z 2)) (* (pow x 2) (pow (log (/ x y)) 2))) |
(+ (* -1 (pow z 2)) (* (pow x 2) (pow (log (/ x y)) 2))) |
(+ (* -1 (pow z 2)) (* (pow x 2) (pow (log (/ x y)) 2))) |
(/ (* x (pow (log (/ y x)) 2)) (log (/ x y))) |
(+ (* -1 (/ (* z (pow (log (/ y x)) 2)) (pow (log (/ x y)) 2))) (/ (* x (pow (log (/ y x)) 2)) (log (/ x y)))) |
(+ (* z (- (* -1 (* z (+ (* -1 (/ (pow (log (/ y x)) 2) (* x (pow (log (/ x y)) 3)))) (/ 1 (* x (log (/ x y))))))) (/ (pow (log (/ y x)) 2) (pow (log (/ x y)) 2)))) (/ (* x (pow (log (/ y x)) 2)) (log (/ x y)))) |
(+ (* z (- (* z (- (* z (- (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))) (/ (pow (log (/ y x)) 2) (* (pow x 2) (pow (log (/ x y)) 4))))) (+ (* -1 (/ (pow (log (/ y x)) 2) (* x (pow (log (/ x y)) 3)))) (/ 1 (* x (log (/ x y))))))) (/ (pow (log (/ y x)) 2) (pow (log (/ x y)) 2)))) (/ (* x (pow (log (/ y x)) 2)) (log (/ x y)))) |
(/ x (log (/ x y))) |
(+ (* -1 (/ z (pow (log (/ x y)) 2))) (/ x (log (/ x y)))) |
(+ (* z (- (/ z (* x (pow (log (/ x y)) 3))) (/ 1 (pow (log (/ x y)) 2)))) (/ x (log (/ x y)))) |
(+ (* z (- (* z (+ (* -1 (/ z (* (pow x 2) (pow (log (/ x y)) 4)))) (/ 1 (* x (pow (log (/ x y)) 3))))) (/ 1 (pow (log (/ x y)) 2)))) (/ x (log (/ x y)))) |
(/ (pow z 2) (* x (log (/ x y)))) |
(* (pow z 2) (+ (* -1 (/ z (* (pow x 2) (pow (log (/ x y)) 2)))) (/ 1 (* x (log (/ x y)))))) |
(* (pow z 2) (+ (* z (- (/ z (* (pow x 3) (pow (log (/ x y)) 3))) (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))))) (/ 1 (* x (log (/ x y)))))) |
(* (pow z 2) (+ (* z (- (* z (+ (* -1 (/ z (* (pow x 4) (pow (log (/ x y)) 4)))) (/ 1 (* (pow x 3) (pow (log (/ x y)) 3))))) (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))))) (/ 1 (* x (log (/ x y)))))) |
(* -1 z) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(* -1 z) |
(* z (- (/ (* x (- (log x) (log y))) z) 1)) |
(* z (- (/ (* x (- (log x) (log y))) z) 1)) |
(* z (- (/ (* x (- (log x) (log y))) z) 1)) |
(* -1 z) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2)) 1)) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2)) 1)) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2)) 1)) |
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(pow (+ (log (* -1 y)) (log (/ -1 x))) 2) |
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2) |
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2) |
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| Outputs |
|---|
(* x (log (/ x y))) |
(*.f64 (log.f64 (/.f64 x y)) x) |
(+ (* -1 z) (* x (log (/ x y)))) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
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(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(* -1 z) |
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(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* x (log (/ x y))) |
(*.f64 (log.f64 (/.f64 x y)) x) |
(+ (* -1 z) (* x (log (/ x y)))) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
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(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(+ (* -1 z) (* x (log (/ x y)))) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(* x (- (log x) (log y))) |
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) |
(+ (* -1 z) (* x (- (log x) (log y)))) |
(fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z)) |
(+ (* -1 z) (* x (- (log x) (log y)))) |
(fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z)) |
(+ (* -1 z) (* x (- (log x) (log y)))) |
(fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z)) |
(* x (log (/ x y))) |
(*.f64 (log.f64 (/.f64 x y)) x) |
(+ (* -1 z) (* x (log (/ x y)))) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
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(* (pow x 2) (pow (log (/ x y)) 2)) |
(*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x)) |
(+ (* -1 (pow z 2)) (* (pow x 2) (pow (log (/ x y)) 2))) |
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(+ (* -1 (pow z 2)) (* (pow x 2) (pow (log (/ x y)) 2))) |
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(*.f64 (-.f64 (/.f64 z x) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (- (+ (log -1) (* -1 (log (/ -1 x)))) (log y))) (/ z x)))) |
(*.f64 (-.f64 (/.f64 z x) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (- (+ (log -1) (* -1 (log (/ -1 x)))) (log y))) (/ z x)))) |
(*.f64 (-.f64 (/.f64 z x) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 y))) (neg.f64 x)) |
(* x (- (+ (log -1) (* -1 (log (/ -1 x)))) (log y))) |
(*.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 y)) x) |
(* x (- (+ (log -1) (* -1 (log (/ -1 x)))) (log y))) |
(*.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 y)) x) |
(* x (- (+ (log -1) (* -1 (log (/ -1 x)))) (log y))) |
(*.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 y)) x) |
(* x (- (+ (log -1) (* -1 (log (/ -1 x)))) (log y))) |
(*.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 y)) x) |
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log y)) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 y)) |
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log y)) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 y)) |
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log y)) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 y)) |
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log y)) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 y)) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x) |
(* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) |
(*.f64 (+.f64 (-.f64 (/.f64 z x) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) |
(*.f64 (+.f64 (-.f64 (/.f64 z x) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) |
(*.f64 (+.f64 (-.f64 (/.f64 z x) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 x)) |
(* (pow x 2) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)) |
(*.f64 (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (pow z 2) (pow x 2))) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (/.f64 z x) x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (pow z 2) (pow x 2))) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (/.f64 z x) x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (pow z 2) (pow x 2))) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (/.f64 z x) x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)) |
(*.f64 (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (*.f64 x x)) |
(* (pow x 2) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)) |
(*.f64 (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (*.f64 x x)) |
(* (pow x 2) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)) |
(*.f64 (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (*.f64 x x)) |
(* (pow x 2) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)) |
(*.f64 (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (*.f64 x x)) |
(/ (* x (pow (+ (log (* -1 y)) (log (/ -1 x))) 2)) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x) |
(* -1 (* x (+ (* -1 (/ (pow (+ (log (* -1 y)) (log (/ -1 x))) 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) (/ (* z (pow (+ (log (* -1 y)) (log (/ -1 x))) 2)) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) x) (/.f64 z (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))) (/ (* (pow z 2) (pow (+ (log (* -1 y)) (log (/ -1 x))) 2)) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3)))) (/ (* z (pow (+ (log (* -1 y)) (log (/ -1 x))) 2)) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) x)) (* -1 (/ (pow (+ (log (* -1 y)) (log (/ -1 x))) 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) z (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) (*.f64 z z) (/.f64 (*.f64 z z) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) x)) x) (/.f64 (pow.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) x) |
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)) (/ (* (pow z 3) (pow (+ (log (* -1 y)) (log (/ -1 x))) 2)) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 4))) x)) (+ (* -1 (/ (pow z 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) (/ (* (pow z 2) (pow (+ (log (* -1 y)) (log (/ -1 x))) 2)) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3)))) x)) (/ (* z (pow (+ (log (* -1 y)) (log (/ -1 x))) 2)) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) x)) (* -1 (/ (pow (+ (log (* -1 y)) (log (/ -1 x))) 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) z (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 4 binary64))) (neg.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x) (fma.f64 (/.f64 (pow.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) (*.f64 z z) (/.f64 (*.f64 z z) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) x)) x) (/.f64 (pow.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) x) |
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2) |
(pow.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) |
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2) |
(pow.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) |
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2) |
(pow.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) |
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2) |
(pow.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) |
(+ (log (* -1 y)) (log (/ -1 x))) |
(+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -1 y)) (log (/ -1 x))) |
(+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -1 y)) (log (/ -1 x))) |
(+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -1 y)) (log (/ -1 x))) |
(+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x) |
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x) |
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x) |
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x) |
(/ x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(/.f64 x (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(* -1 (* x (- (/ z (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))))) |
(*.f64 (-.f64 (/.f64 (/.f64 z x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (/ (pow z 2) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3))) (/ z (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) x)) (/ 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 z (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) (/.f64 z x) (/.f64 (neg.f64 z) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) x) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 4))) (/ (pow z 2) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3))) x)) (/ z (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) x)) (/ 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (/.f64 z (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 4 binary64)))) x) (/.f64 z (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (neg.f64 x)) |
(/ (pow z 2) (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) |
(/.f64 (*.f64 z (/.f64 z x)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(* -1 (/ (+ (* -1 (/ (pow z 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) (/ (pow z 3) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)))) x)) |
(/.f64 (fma.f64 z (/.f64 z (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (neg.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) x) |
(* -1 (/ (+ (* -1 (/ (- (/ (pow z 4) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3))) (/ (pow z 3) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) x)) (* -1 (/ (pow z 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))) x)) |
(/.f64 (fma.f64 z (/.f64 z (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x)) x) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 5) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 4))) (/ (pow z 4) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3))) x)) (/ (pow z 3) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) x)) (* -1 (/ (pow z 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))) x)) |
(/.f64 (fma.f64 z (/.f64 z (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) x)) x)) x) |
| 5 932× | lower-fma.f32 |
| 5 924× | lower-fma.f64 |
| 4 436× | lower-/.f32 |
| 4 426× | lower-/.f64 |
| 4 158× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 162 |
| 0 | 57 | 125 |
| 1 | 218 | 125 |
| 2 | 1373 | 125 |
| 0 | 8712 | 125 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(log.f64 (/.f64 x y)) |
(/.f64 x y) |
(neg.f64 z) |
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) |
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) |
(*.f64 x (-.f64 (log.f64 x) (log.f64 y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(log.f64 x) |
(/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) |
(fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) |
(pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) |
(log.f64 (/.f64 y x)) |
(/.f64 y x) |
(*.f64 (log.f64 (/.f64 x y)) x) |
(/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) |
(/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)) |
| Outputs |
|---|
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Compiled 128 889 to 4 181 computations (96.8% saved)
21 alts after pruning (17 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 161 | 11 | 3 172 |
| Fresh | 8 | 6 | 14 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 3 171 | 21 | 3 192 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 62.0% | (fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) x) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) |
| 39.7% | (fma.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (log.f64 (*.f64 y x))) x (neg.f64 z)) | |
| 53.2% | (fma.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x (neg.f64 z)) | |
| 79.6% | (fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) | |
| ✓ | 79.7% | (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
| 34.6% | (/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (fma.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 z z))) (fma.f64 (log.f64 (/.f64 x y)) x z)) | |
| ▶ | 26.8% | (/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z)) |
| ▶ | 79.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))) |
| 46.2% | (-.f64 (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)) z) | |
| 53.2% | (-.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))))))) z) | |
| 53.1% | (-.f64 (*.f64 x (-.f64 (/.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))))) (/.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))))))) z) | |
| ✓ | 46.2% | (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) |
| ✓ | 79.7% | (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
| 48.3% | (*.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64))) | |
| 77.8% | (*.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64)))) | |
| ▶ | 69.8% | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) |
| 25.6% | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)) | |
| 44.6% | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x)) | |
| 17.8% | #s(approx (- (* x (log (/ x y))) z) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) | |
| ▶ | 29.3% | #s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) |
| ✓ | 48.0% | #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) |
Compiled 682 to 445 computations (34.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (log.f64 (/.f64 y x)) | |
| cost-diff | 0 | (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) x) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) | |
| cost-diff | 0 | (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z)) | |
| cost-diff | 320 | (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x)) | |
| cost-diff | 0 | (log.f64 (/.f64 x y)) | |
| cost-diff | 0 | (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) | |
| cost-diff | 896 | (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) z) | |
| cost-diff | 0 | #s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) | |
| cost-diff | 192 | (+.f64 #s(literal 0 binary64) z) | |
| cost-diff | 1024 | (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) | |
| cost-diff | 0 | (log.f64 (/.f64 x y)) | |
| cost-diff | 0 | (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)) | |
| cost-diff | 7168 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))) |
| 7 520× | lower-fma.f32 |
| 7 512× | lower-fma.f64 |
| 4 124× | lower-*.f32 |
| 4 112× | lower-*.f64 |
| 2 336× | lower-/.f32 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 347 |
| 0 | 78 | 342 |
| 1 | 119 | 319 |
| 2 | 239 | 317 |
| 3 | 500 | 314 |
| 4 | 1202 | 314 |
| 5 | 3410 | 302 |
| 6 | 6799 | 302 |
| 0 | 8166 | 302 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(log.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(neg.f64 z) |
z |
#s(literal -1 binary64) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
(+.f64 #s(literal 0 binary64) z) |
#s(literal 0 binary64) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) |
(*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z) |
(fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) |
(log.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(/.f64 x z) |
z |
#s(literal -1 binary64) |
(/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z)) |
#s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) |
(*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x)) |
(pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) |
(log.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
(*.f64 x x) |
(fma.f64 (log.f64 (/.f64 x y)) x z) |
z |
(fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) x) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) |
(pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) |
(log.f64 (/.f64 y x)) |
(/.f64 y x) |
y |
x |
#s(literal 2 binary64) |
(*.f64 (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) x) |
(/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) |
(fma.f64 (log.f64 (/.f64 x y)) x z) |
(log.f64 (/.f64 x y)) |
(/.f64 x y) |
z |
(neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))) |
(/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)) |
(*.f64 z z) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(log.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(neg.f64 z) |
z |
#s(literal -1 binary64) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) |
(neg.f64 z) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
(+.f64 #s(literal 0 binary64) z) |
z |
#s(literal 0 binary64) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) |
#s(approx (- (* x (log (/ x y))) z) (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))) |
(*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x z) (log.f64 (/.f64 x y)) #s(literal -1 binary64)) |
(log.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(/.f64 x z) |
z |
#s(literal -1 binary64) |
(/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z)) |
(/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) |
#s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) |
#s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x)) |
(pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64)) |
(pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) |
(log.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
(*.f64 x x) |
(fma.f64 (log.f64 (/.f64 x y)) x z) |
z |
(fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) x) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) |
(fma.f64 (/.f64 (neg.f64 z) (fma.f64 (log.f64 (/.f64 x y)) x z)) z (*.f64 (*.f64 (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) x) (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)))) |
(pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) |
(log.f64 (/.f64 y x)) |
(/.f64 y x) |
y |
x |
#s(literal 2 binary64) |
(*.f64 (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) x) |
(/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) |
(fma.f64 (log.f64 (/.f64 x y)) x z) |
(log.f64 (/.f64 x y)) |
(/.f64 x y) |
z |
(neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))) |
(/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (log.f64 (/.f64 x y)) x z)) |
(/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)) |
(*.f64 z z) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.6209763056000075 | (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) | |
| accuracy | 13.527339401004301 | (log.f64 (/.f64 x y)) | |
| accuracy | 13.542012559762533 | (log.f64 (/.f64 y x)) | |
| accuracy | 16.35463996801568 | (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)) | |
| accuracy | 0.518573779305326 | (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) | |
| accuracy | 13.527339401004301 | (log.f64 (/.f64 x y)) | |
| accuracy | 27.284224155682054 | (/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z)) | |
| accuracy | 27.864021093194346 | #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) | |
| accuracy | 0 | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) | |
| accuracy | 0.12890625 | (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) | |
| accuracy | 9.163813478852292 | (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z) | |
| accuracy | 13.527339401004301 | (log.f64 (/.f64 x y)) | |
| accuracy | 0 | (*.f64 (neg.f64 z) z) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 27.618518199486154 | (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) | |
| accuracy | 33.27042214668896 | #s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) | |
| accuracy | 0.171875 | (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) | |
| accuracy | 0.22265625 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))) | |
| accuracy | 0.47857457589483576 | (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)) | |
| accuracy | 13.527339401004301 | (log.f64 (/.f64 x y)) |
| 172.0ms | 256× | 0 | valid |
Compiled 322 to 42 computations (87% saved)
ival-pow2: 42.0ms (31.7% of total)ival-pow: 25.0ms (18.9% of total)ival-neg: 23.0ms (17.4% of total)ival-mult: 15.0ms (11.3% of total)ival-div: 13.0ms (9.8% of total)ival-add: 7.0ms (5.3% of total)ival-log: 7.0ms (5.3% of total)ival-sub: 1.0ms (0.8% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (patch (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z) (patch (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) (patch #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) (patch (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x)) (patch (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (patch #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) x) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) (patch (fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) x) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (log.f64 (/.f64 y x)) (patch (log.f64 (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (log (/ x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (log (/ x y)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* z (+ (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))) (/ z (* (pow x 3) (pow (log (/ x y)) 3))))) (/ 1 (* x (log (/ x y))))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (+ (* z (+ (/ 1 (* (pow x 3) (pow (log (/ x y)) 3))) (/ z (* (pow x 4) (pow (log (/ x y)) 4))))) (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))))) (/ 1 (* x (log (/ x y))))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (patch (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (patch (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (patch (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (log (/ x y))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 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 (log (/ x y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z) (patch (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z) (patch (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z) (patch (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z) (patch (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (log (/ x y))) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) (patch #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) (patch #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) (patch #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) (patch #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (log (/ x y))) z) (taylor 0 z) (#s(alt (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) (patch (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 z) (* x (log (/ x y)))) z) (taylor 0 z) (#s(alt (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) (patch (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 z) (* x (log (/ x y)))) z) (taylor 0 z) (#s(alt (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) (patch (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 z) (* x (log (/ x y)))) z) (taylor 0 z) (#s(alt (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) (patch (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (log (/ x y))) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow (log (/ x y)) 2)) (taylor 0 z) (#s(alt #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (patch #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 165.0ms | x | @ | inf | ((/ 1 (pow (+ (* (log (/ x y)) x) (neg z)) -1)) (pow (+ (* (log (/ x y)) x) (neg z)) -1) (+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ (* (neg z) z) (+ 0 z)) (+ 0 z) (- (* x (log (/ x y))) z) (* (neg z) z) (* (+ (* (log (/ x y)) (/ x z)) -1) z) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (log (/ x y)) (/ x z)) -1) (* (pow (log (/ x y)) 2) (* x x)) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (pow (log (/ x y)) 2) (+ (* (pow (log (/ y x)) 2) (* (/ x (+ (* (log (/ x y)) x) z)) x)) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (pow (log (/ y x)) 2) (log (/ y x)) (/ y x) (neg z) (/ (* z z) (+ (* (log (/ x y)) x) z)) (/ x (+ (* (log (/ x y)) x) z))) |
| 140.0ms | z | @ | inf | ((/ 1 (pow (+ (* (log (/ x y)) x) (neg z)) -1)) (pow (+ (* (log (/ x y)) x) (neg z)) -1) (+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ (* (neg z) z) (+ 0 z)) (+ 0 z) (- (* x (log (/ x y))) z) (* (neg z) z) (* (+ (* (log (/ x y)) (/ x z)) -1) z) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (log (/ x y)) (/ x z)) -1) (* (pow (log (/ x y)) 2) (* x x)) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (pow (log (/ x y)) 2) (+ (* (pow (log (/ y x)) 2) (* (/ x (+ (* (log (/ x y)) x) z)) x)) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (pow (log (/ y x)) 2) (log (/ y x)) (/ y x) (neg z) (/ (* z z) (+ (* (log (/ x y)) x) z)) (/ x (+ (* (log (/ x y)) x) z))) |
| 61.0ms | y | @ | inf | ((/ 1 (pow (+ (* (log (/ x y)) x) (neg z)) -1)) (pow (+ (* (log (/ x y)) x) (neg z)) -1) (+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ (* (neg z) z) (+ 0 z)) (+ 0 z) (- (* x (log (/ x y))) z) (* (neg z) z) (* (+ (* (log (/ x y)) (/ x z)) -1) z) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (log (/ x y)) (/ x z)) -1) (* (pow (log (/ x y)) 2) (* x x)) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (pow (log (/ x y)) 2) (+ (* (pow (log (/ y x)) 2) (* (/ x (+ (* (log (/ x y)) x) z)) x)) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (pow (log (/ y x)) 2) (log (/ y x)) (/ y x) (neg z) (/ (* z z) (+ (* (log (/ x y)) x) z)) (/ x (+ (* (log (/ x y)) x) z))) |
| 40.0ms | x | @ | -inf | ((/ 1 (pow (+ (* (log (/ x y)) x) (neg z)) -1)) (pow (+ (* (log (/ x y)) x) (neg z)) -1) (+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ (* (neg z) z) (+ 0 z)) (+ 0 z) (- (* x (log (/ x y))) z) (* (neg z) z) (* (+ (* (log (/ x y)) (/ x z)) -1) z) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (log (/ x y)) (/ x z)) -1) (* (pow (log (/ x y)) 2) (* x x)) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (pow (log (/ x y)) 2) (+ (* (pow (log (/ y x)) 2) (* (/ x (+ (* (log (/ x y)) x) z)) x)) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (pow (log (/ y x)) 2) (log (/ y x)) (/ y x) (neg z) (/ (* z z) (+ (* (log (/ x y)) x) z)) (/ x (+ (* (log (/ x y)) x) z))) |
| 36.0ms | y | @ | 0 | ((/ 1 (pow (+ (* (log (/ x y)) x) (neg z)) -1)) (pow (+ (* (log (/ x y)) x) (neg z)) -1) (+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ (* (neg z) z) (+ 0 z)) (+ 0 z) (- (* x (log (/ x y))) z) (* (neg z) z) (* (+ (* (log (/ x y)) (/ x z)) -1) z) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (log (/ x y)) (/ x z)) -1) (* (pow (log (/ x y)) 2) (* x x)) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (pow (log (/ x y)) 2) (+ (* (pow (log (/ y x)) 2) (* (/ x (+ (* (log (/ x y)) x) z)) x)) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (pow (log (/ y x)) 2) (log (/ y x)) (/ y x) (neg z) (/ (* z z) (+ (* (log (/ x y)) x) z)) (/ x (+ (* (log (/ x y)) x) z))) |
| 1× | egg-herbie |
| 5 910× | lower-fma.f64 |
| 5 910× | lower-fma.f32 |
| 4 926× | lower-*.f64 |
| 4 926× | lower-*.f32 |
| 2 872× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 639 | 9535 |
| 1 | 1980 | 8757 |
| 2 | 6830 | 8614 |
| 0 | 8157 | 8446 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (log (/ x y))) |
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(+ (* -1 z) (* x (log (/ x y)))) |
(+ (* -1 z) (* x (log (/ x y)))) |
(/ 1 (* x (log (/ x y)))) |
(+ (/ 1 (* x (log (/ x y)))) (/ z (* (pow x 2) (pow (log (/ x y)) 2)))) |
(+ (* z (+ (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))) (/ z (* (pow x 3) (pow (log (/ x y)) 3))))) (/ 1 (* x (log (/ x y))))) |
(+ (* z (+ (* z (+ (/ 1 (* (pow x 3) (pow (log (/ x y)) 3))) (/ z (* (pow x 4) (pow (log (/ x y)) 4))))) (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))))) (/ 1 (* x (log (/ x y))))) |
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(/ (* x (log (/ x y))) z) |
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(+ (* -1 (pow z 2)) (* (pow x 2) (pow (log (/ x y)) 2))) |
(/ (* x (pow (log (/ y x)) 2)) (log (/ x y))) |
(+ (* -1 (/ (* z (pow (log (/ y x)) 2)) (pow (log (/ x y)) 2))) (/ (* x (pow (log (/ y x)) 2)) (log (/ x y)))) |
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(* -1 z) |
(* -1 z) |
(* -1 z) |
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(* (pow z 2) (+ (* -1 (/ z (* (pow x 2) (pow (log (/ x y)) 2)))) (/ 1 (* x (log (/ x y)))))) |
(* (pow z 2) (+ (* z (- (/ z (* (pow x 3) (pow (log (/ x y)) 3))) (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))))) (/ 1 (* x (log (/ x y)))))) |
(* (pow z 2) (+ (* z (- (* z (+ (* -1 (/ z (* (pow x 4) (pow (log (/ x y)) 4)))) (/ 1 (* (pow x 3) (pow (log (/ x y)) 3))))) (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))))) (/ 1 (* x (log (/ x y)))))) |
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(* -1 z) |
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(* z (- (/ (* x (log (/ x y))) z) 1)) |
(/ -1 z) |
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(/ (- (* -1 (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2))) (+ 1 (/ (* x (log (/ x y))) z))) z) |
(/ (- (* -1 (/ (* (pow x 3) (pow (log (/ x y)) 3)) (pow z 3))) (+ 1 (+ (/ (* x (log (/ x y))) z) (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2))))) z) |
(* -1 z) |
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(* -1 z) |
z |
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(* -1 (pow z 2)) |
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(* -1 (pow z 2)) |
(* -1 z) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(* -1 z) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
-1 |
(- (/ (* x (log (/ x y))) z) 1) |
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(- (/ (* x (log (/ x y))) z) 1) |
(* -1 z) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
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(* -1 (pow z 2)) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2)) 1)) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2)) 1)) |
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| Outputs |
|---|
(* x (log (/ x y))) |
(*.f64 (log.f64 (/.f64 x y)) x) |
(+ (* -1 z) (* x (log (/ x y)))) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(+ (* -1 z) (* x (log (/ x y)))) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(+ (* -1 z) (* x (log (/ x y)))) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(/ 1 (* x (log (/ x y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 x y))) |
(+ (/ 1 (* x (log (/ x y)))) (/ z (* (pow x 2) (pow (log (/ x y)) 2)))) |
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(pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2) |
(pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) |
(/ (* x (pow (+ (log (* -1 y)) (log (/ -1 x))) 2)) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x) |
(* -1 (* x (+ (* -1 (/ (pow (+ (log (* -1 y)) (log (/ -1 x))) 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) (/ (* z (pow (+ (log (* -1 y)) (log (/ -1 x))) 2)) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)))))) |
(*.f64 (fma.f64 (pow.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (/.f64 (/.f64 z x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (neg.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))) (/ (* (pow z 2) (pow (+ (log (* -1 y)) (log (/ -1 x))) 2)) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3)))) (/ (* z (pow (+ (log (* -1 y)) (log (/ -1 x))) 2)) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) x)) (* -1 (/ (pow (+ (log (* -1 y)) (log (/ -1 x))) 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 z) (/.f64 (pow.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) x)) (neg.f64 x)) (/.f64 (pow.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)) (/ (* (pow z 3) (pow (+ (log (* -1 y)) (log (/ -1 x))) 2)) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 4))) x)) (+ (* -1 (/ (pow z 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) (/ (* (pow z 2) (pow (+ (log (* -1 y)) (log (/ -1 x))) 2)) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3)))) x)) (/ (* z (pow (+ (log (* -1 y)) (log (/ -1 x))) 2)) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) x)) (* -1 (/ (pow (+ (log (* -1 y)) (log (/ -1 x))) 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (neg.f64 z) (/.f64 (pow.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (/.f64 (-.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (/.f64 (fma.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x)) x)) (neg.f64 x)) (/.f64 (pow.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (neg.f64 x)) |
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2) |
(pow.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) |
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2) |
(pow.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) |
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2) |
(pow.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) |
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2) |
(pow.f64 (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) |
(+ (log (* -1 y)) (log (/ -1 x))) |
(+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -1 y)) (log (/ -1 x))) |
(+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -1 y)) (log (/ -1 x))) |
(+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -1 y)) (log (/ -1 x))) |
(+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ (pow z 2) (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) |
(/.f64 (*.f64 z (/.f64 z x)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(* -1 (/ (+ (* -1 (/ (pow z 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) (/ (pow z 3) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)))) x)) |
(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (*.f64 z z) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (/ (pow z 4) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3))) (/ (pow z 3) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) x)) (* -1 (/ (pow z 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 z (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x))) x) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 5) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 4))) (/ (pow z 4) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3))) x)) (/ (pow z 3) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) x)) (* -1 (/ (pow z 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 z (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) x)) x))) x) |
(/ 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(+ (* -1 (/ z (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (/.f64 z x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) |
(+ (* -1 (/ (- (* -1 (/ (pow z 2) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3)))) (* -1 (/ z (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)))) x)) (/ 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (/.f64 z (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (*.f64 z (/.f64 z x)) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) x)) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 4)))) (* -1 (/ (pow z 2) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3)))) x)) (* -1 (/ z (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)))) x)) (/ 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (/.f64 z (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (fma.f64 z (/.f64 z (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) (/.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 4 binary64)))) x)) x)) |
| 3 992× | lower-fma.f32 |
| 3 986× | lower-fma.f64 |
| 3 332× | lower-/.f32 |
| 3 316× | lower-/.f64 |
| 2 678× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 256 |
| 0 | 78 | 233 |
| 1 | 284 | 196 |
| 2 | 1933 | 179 |
| 0 | 9636 | 179 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(log.f64 (/.f64 x y)) |
(/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) |
(+.f64 #s(literal 0 binary64) z) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) |
(*.f64 (neg.f64 z) z) |
(*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) |
(fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x)) |
(/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z)) |
#s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) |
(pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) x) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) |
(pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) |
(log.f64 (/.f64 y x)) |
(/.f64 y x) |
(neg.f64 z) |
(/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)) |
(/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) |
| Outputs |
|---|
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Compiled 67 523 to 4 979 computations (92.6% saved)
31 alts after pruning (27 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 392 | 20 | 2 412 |
| Fresh | 5 | 7 | 12 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 4 | 4 |
| Total | 2 402 | 31 | 2 433 |
| Status | Accuracy | Program |
|---|---|---|
| 61.8% | (fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 #s(approx (/ x (+ (* (log (/ x y)) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))) x) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) | |
| 39.7% | (fma.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (log.f64 (*.f64 y x))) x (neg.f64 z)) | |
| 53.2% | (fma.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x (neg.f64 z)) | |
| ▶ | 79.6% | (fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) |
| ✓ | 79.7% | (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
| 69.7% | (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* (log (/ x y)) x) (neg z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) #s(literal -1 binary64))) | |
| ▶ | 25.6% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y))))) |
| 44.5% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 x y))))) | |
| 27.6% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (/.f64 z x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (neg.f64 x)))) | |
| 47.9% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 binary64) z))) | |
| 46.2% | (-.f64 (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)) z) | |
| 53.2% | (-.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))))))) z) | |
| ✓ | 46.2% | (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) |
| ✓ | 79.7% | (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
| 12.3% | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z z))) | |
| ▶ | 20.0% | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z)) |
| 44.9% | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) (/.f64 x z) #s(literal -1 binary64)) z)) | |
| 25.6% | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)) | |
| ▶ | 44.6% | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x)) |
| 34.6% | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 #s(approx (+ (* (log (/ x y)) (/ x z)) -1) (*.f64 (log.f64 (/.f64 x y)) (/.f64 x z))) z)) | |
| 44.9% | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 #s(approx (+ (* (log (/ x y)) (/ x z)) -1) (neg.f64 (fma.f64 (/.f64 (neg.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) z) x #s(literal 1 binary64)))) z)) | |
| ▶ | 2.3% | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) |
| 2.3% | #s(approx (- (* x (log (/ x y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) z))) | |
| 17.5% | #s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z)))) | |
| 29.3% | #s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))))) | |
| 29.3% | #s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z)) | |
| 2.3% | #s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 z z) z)) | |
| 2.3% | #s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))) | |
| 2.3% | #s(approx (- (* x (log (/ x y))) z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z z))) | |
| ✓ | 48.0% | #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) |
| 1.2% | #s(approx (- (* x (log (/ x y))) z) (exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))) |
Compiled 742 to 623 computations (16% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y))) | |
| cost-diff | 0 | #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y))))) | |
| cost-diff | 0 | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z)) | |
| cost-diff | 128 | (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) | |
| cost-diff | 896 | (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z)) | |
| cost-diff | 1024 | (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (log.f64 (/.f64 x y)) | |
| cost-diff | 0 | (*.f64 (log.f64 (/.f64 x y)) x) | |
| cost-diff | 0 | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (log.f64 (/.f64 y x)) | |
| cost-diff | 0 | (neg.f64 (log.f64 (/.f64 y x))) | |
| cost-diff | 128 | (fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) |
| 5 400× | lower-fma.f32 |
| 5 396× | lower-fma.f64 |
| 3 008× | lower-*.f32 |
| 3 002× | lower-*.f64 |
| 1 474× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 271 |
| 0 | 63 | 269 |
| 1 | 102 | 266 |
| 2 | 196 | 258 |
| 3 | 480 | 255 |
| 4 | 1228 | 243 |
| 5 | 3786 | 210 |
| 6 | 6267 | 204 |
| 0 | 8135 | 203 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) |
(neg.f64 (log.f64 (/.f64 y x))) |
(log.f64 (/.f64 y x)) |
(/.f64 y x) |
y |
x |
(neg.f64 z) |
z |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) |
z |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x)) |
(*.f64 (log.f64 (/.f64 x y)) x) |
(log.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z) |
(neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) |
(*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z)) |
(fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) |
(/.f64 x z) |
x |
z |
(log.f64 (/.f64 y x)) |
(/.f64 y x) |
y |
#s(literal -1 binary64) |
(*.f64 z z) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y))))) |
#s(literal 1 binary64) |
#s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y))) |
(/.f64 #s(literal 1 binary64) x) |
x |
(-.f64 (log.f64 x) (log.f64 y)) |
(log.f64 x) |
(log.f64 y) |
y |
| Outputs |
|---|
(fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) |
(neg.f64 (fma.f64 (log.f64 (/.f64 y x)) x z)) |
(neg.f64 (log.f64 (/.f64 y x))) |
(log.f64 (/.f64 y x)) |
(/.f64 y x) |
y |
x |
(neg.f64 z) |
z |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) |
z |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x)) |
(*.f64 (log.f64 (/.f64 x y)) x) |
(log.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (fma.f64 (neg.f64 x) (log.f64 (/.f64 y x)) z)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z) |
(fma.f64 (neg.f64 x) (log.f64 (/.f64 y x)) z) |
(neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) |
(*.f64 (fma.f64 (neg.f64 x) (log.f64 (/.f64 y x)) z) z) |
(*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z)) |
(*.f64 (fma.f64 (log.f64 (/.f64 y x)) x (neg.f64 z)) z) |
(fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) |
(/.f64 x z) |
x |
z |
(log.f64 (/.f64 y x)) |
(/.f64 y x) |
y |
#s(literal -1 binary64) |
(*.f64 z z) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y))))) |
#s(literal 1 binary64) |
#s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y))) |
(/.f64 #s(literal 1 binary64) x) |
x |
(-.f64 (log.f64 x) (log.f64 y)) |
(log.f64 x) |
(log.f64 y) |
y |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09765625 | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y))))) | |
| accuracy | 0.170253759768442 | (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y))) | |
| accuracy | 0.3323111920510797 | (-.f64 (log.f64 x) (log.f64 y)) | |
| accuracy | 13.242874454307543 | #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y)))) | |
| accuracy | 4.716149771823792 | (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z)) | |
| accuracy | 7.224089007542676 | (log.f64 (/.f64 y x)) | |
| accuracy | 8.622978560710141 | (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z) | |
| accuracy | 13.517662481224017 | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.1484375 | (*.f64 (log.f64 (/.f64 x y)) x) | |
| accuracy | 7.168584118353645 | (log.f64 (/.f64 x y)) | |
| accuracy | 13.19222829709099 | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x)) | |
| accuracy | 29.08682697812442 | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) | |
| accuracy | 0 | (neg.f64 (log.f64 (/.f64 y x))) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.0859375 | (fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) | |
| accuracy | 7.224089007542676 | (log.f64 (/.f64 y x)) |
| 43.0ms | 119× | 0 | valid |
| 38.0ms | 137× | 0 | invalid |
Compiled 232 to 36 computations (84.5% saved)
ival-log: 22.0ms (35% of total)ival-div: 13.0ms (20.7% of total)ival-mult: 9.0ms (14.3% of total)ival-add: 6.0ms (9.6% of total)ival-neg: 5.0ms (8% of total)ival-pow: 4.0ms (6.4% of total)ival-pow2: 2.0ms (3.2% of total)ival-sub: 1.0ms (1.6% 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 (fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) (patch (fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (log.f64 (/.f64 y x))) (patch (neg.f64 (log.f64 (/.f64 y x))) #<representation binary64>) () ()) |
#s(alt (log.f64 (/.f64 y x)) (patch (log.f64 (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) (patch #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x)) (patch #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (log.f64 (/.f64 x y)) x) (patch (*.f64 (log.f64 (/.f64 x y)) x) #<representation binary64>) () ()) |
#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z)) (patch (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) (patch (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) #<representation binary64>) () ()) |
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| Outputs |
|---|
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#s(alt (/ 1 (* x (- (+ (log -1) (* -1 (log (/ -1 x)))) (log y)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (log y)) (taylor -inf x) (#s(alt (-.f64 (log.f64 x) (log.f64 y)) (patch (-.f64 (log.f64 x) (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (log y)) (taylor -inf x) (#s(alt (-.f64 (log.f64 x) (log.f64 y)) (patch (-.f64 (log.f64 x) (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (log y)) (taylor -inf x) (#s(alt (-.f64 (log.f64 x) (log.f64 y)) (patch (-.f64 (log.f64 x) (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (log y)) (taylor -inf x) (#s(alt (-.f64 (log.f64 x) (log.f64 y)) (patch (-.f64 (log.f64 x) (log.f64 y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 280.0ms | x | @ | 0 | ((+ (* (neg (log (/ y x))) x) (neg z)) (neg (log (/ y x))) (log (/ y x)) (/ y x) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (* (log (/ x y)) x) (log (/ x y)) (/ x y) (/ (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) z) (* (+ (* (/ x z) (log (/ y x))) -1) (* z z)) (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/ 1 (pow (+ (* (log (/ x y)) x) (neg z)) -1)) (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/ (/ 1 x) (- (log x) (log y))) (/ 1 x) (neg z) (- (log x) (log y))) |
| 56.0ms | y | @ | -inf | ((+ (* (neg (log (/ y x))) x) (neg z)) (neg (log (/ y x))) (log (/ y x)) (/ y x) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (* (log (/ x y)) x) (log (/ x y)) (/ x y) (/ (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) z) (* (+ (* (/ x z) (log (/ y x))) -1) (* z z)) (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/ 1 (pow (+ (* (log (/ x y)) x) (neg z)) -1)) (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/ (/ 1 x) (- (log x) (log y))) (/ 1 x) (neg z) (- (log x) (log y))) |
| 56.0ms | x | @ | -inf | ((+ (* (neg (log (/ y x))) x) (neg z)) (neg (log (/ y x))) (log (/ y x)) (/ y x) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (* (log (/ x y)) x) (log (/ x y)) (/ x y) (/ (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) z) (* (+ (* (/ x z) (log (/ y x))) -1) (* z z)) (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/ 1 (pow (+ (* (log (/ x y)) x) (neg z)) -1)) (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/ (/ 1 x) (- (log x) (log y))) (/ 1 x) (neg z) (- (log x) (log y))) |
| 43.0ms | y | @ | inf | ((+ (* (neg (log (/ y x))) x) (neg z)) (neg (log (/ y x))) (log (/ y x)) (/ y x) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (* (log (/ x y)) x) (log (/ x y)) (/ x y) (/ (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) z) (* (+ (* (/ x z) (log (/ y x))) -1) (* z z)) (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/ 1 (pow (+ (* (log (/ x y)) x) (neg z)) -1)) (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/ (/ 1 x) (- (log x) (log y))) (/ 1 x) (neg z) (- (log x) (log y))) |
| 37.0ms | x | @ | inf | ((+ (* (neg (log (/ y x))) x) (neg z)) (neg (log (/ y x))) (log (/ y x)) (/ y x) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (* (log (/ x y)) x) (log (/ x y)) (/ x y) (/ (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) z) (* (+ (* (/ x z) (log (/ y x))) -1) (* z z)) (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/ 1 (pow (+ (* (log (/ x y)) x) (neg z)) -1)) (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/ (/ 1 x) (- (log x) (log y))) (/ 1 x) (neg z) (- (log x) (log y))) |
| 1× | egg-herbie |
| 7 184× | lower-fma.f64 |
| 7 184× | lower-fma.f32 |
| 5 356× | lower-*.f64 |
| 5 356× | lower-*.f32 |
| 3 204× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 360 | 6498 |
| 1 | 1137 | 6037 |
| 2 | 3734 | 5908 |
| 0 | 8114 | 5770 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* x (log (/ y x)))) |
(+ (* -1 z) (* -1 (* x (log (/ y x))))) |
(+ (* -1 z) (* -1 (* x (log (/ y x))))) |
(+ (* -1 z) (* -1 (* x (log (/ y x))))) |
(* x (log (/ x y))) |
(+ (* -1 z) (* x (log (/ x y)))) |
(+ (* -1 z) (* x (log (/ x y)))) |
(+ (* -1 z) (* x (log (/ x y)))) |
(* x (log (/ x y))) |
(+ (* -1 z) (* x (log (/ x y)))) |
(+ (* -1 z) (* x (log (/ x y)))) |
(+ (* -1 z) (* x (log (/ x y)))) |
(* -1 (* x (log (/ y x)))) |
(+ z (* -1 (* x (log (/ y x))))) |
(+ z (* -1 (* x (log (/ y x))))) |
(+ z (* -1 (* x (log (/ y x))))) |
(* x (* z (log (/ y x)))) |
(* z (+ (* -1 z) (* x (log (/ y x))))) |
(* z (+ (* -1 z) (* x (log (/ y x))))) |
(* z (+ (* -1 z) (* x (log (/ y x))))) |
(* -1 (* x (* z (log (/ y x))))) |
(* z (- z (* x (log (/ y x))))) |
(* z (- z (* x (log (/ y x))))) |
(* z (- z (* x (log (/ y x))))) |
(* x (log (/ x y))) |
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(+ (* -1 z) (* x (log (/ x y)))) |
(+ (* -1 z) (* x (log (/ x y)))) |
(* x (log (/ x y))) |
(+ (* -1 z) (* x (log (/ x y)))) |
(+ (* -1 z) (* x (log (/ x y)))) |
(+ (* -1 z) (* x (log (/ x y)))) |
(/ 1 (* x (log (/ x y)))) |
(+ (/ 1 (* x (log (/ x y)))) (/ z (* (pow x 2) (pow (log (/ x y)) 2)))) |
(+ (* z (+ (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))) (/ z (* (pow x 3) (pow (log (/ x y)) 3))))) (/ 1 (* x (log (/ x y))))) |
(+ (* z (+ (* z (+ (/ 1 (* (pow x 3) (pow (log (/ x y)) 3))) (/ z (* (pow x 4) (pow (log (/ x y)) 4))))) (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))))) (/ 1 (* x (log (/ x y))))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (- (* -1 (/ (* x (log (/ y x))) z)) 1)) |
(* z (- (* -1 (/ (* x (log (/ y x))) z)) 1)) |
(* z (- (* -1 (/ (* x (log (/ y x))) z)) 1)) |
(* -1 z) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(* -1 z) |
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(* z (- (/ (* x (log (/ x y))) z) 1)) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
z |
(* z (+ 1 (* -1 (/ (* x (log (/ y x))) z)))) |
(* z (+ 1 (* -1 (/ (* x (log (/ y x))) z)))) |
(* z (+ 1 (* -1 (/ (* x (log (/ y x))) z)))) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (/ (* x (log (/ y x))) z) 1)) |
(* (pow z 2) (- (/ (* x (log (/ y x))) z) 1)) |
(* (pow z 2) (- (/ (* x (log (/ y x))) z) 1)) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* x (log (/ y x))) z)))) |
(* (pow z 2) (+ 1 (* -1 (/ (* x (log (/ y x))) z)))) |
(* (pow z 2) (+ 1 (* -1 (/ (* x (log (/ y x))) z)))) |
(* -1 z) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(* -1 z) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(* z (- (/ (* x (log (/ x y))) z) 1)) |
(/ -1 z) |
(/ (- (* -1 (/ (* x (log (/ x y))) z)) 1) z) |
(/ (- (* -1 (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2))) (+ 1 (/ (* x (log (/ x y))) z))) z) |
(/ (- (* -1 (/ (* (pow x 3) (pow (log (/ x y)) 3)) (pow z 3))) (+ 1 (+ (/ (* x (log (/ x y))) z) (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2))))) z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
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(* -1 (* z (+ 1 (/ (* x (log (/ y x))) z)))) |
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(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z))))) |
(* -1 z) |
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(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z))))) |
z |
(* -1 (* z (- (/ (* x (log (/ y x))) z) 1))) |
(* -1 (* z (- (/ (* x (log (/ y x))) z) 1))) |
(* -1 (* z (- (/ (* x (log (/ y x))) z) 1))) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (/ (* x (log (/ y x))) z) 1)) |
(* (pow z 2) (- (/ (* x (log (/ y x))) z) 1)) |
(* (pow z 2) (- (/ (* x (log (/ y x))) z) 1)) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* x (log (/ y x))) z)))) |
(* (pow z 2) (+ 1 (* -1 (/ (* x (log (/ y x))) z)))) |
(* (pow z 2) (+ 1 (* -1 (/ (* x (log (/ y x))) z)))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z))))) |
(/ -1 z) |
(* -1 (/ (+ 1 (/ (* x (log (/ x y))) z)) z)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (log (/ x y)) 2)) z)) (* x (log (/ x y)))) z))) z)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (log (/ x y)) 3)) z) (* -1 (* (pow x 2) (pow (log (/ x y)) 2)))) z)) (* x (log (/ x y)))) z))) z)) |
(* -1 z) |
(* -1 z) |
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(- (* -1 (* x (+ (log y) (log (/ 1 x))))) z) |
(- (* -1 (* x (+ (log y) (log (/ 1 x))))) z) |
(- (* -1 (* x (+ (log y) (log (/ 1 x))))) z) |
(- (* -1 (* x (+ (log y) (log (/ 1 x))))) z) |
(* -1 (+ (log y) (log (/ 1 x)))) |
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(* -1 (+ (log y) (log (/ 1 x)))) |
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(+ (log y) (log (/ 1 x))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ (+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ (log x) (* -1 (log y))) 2))) (+ z (* x (+ (log x) (* -1 (log y)))))) |
(/ (+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ (log x) (* -1 (log y))) 2))) (+ z (* x (+ (log x) (* -1 (log y)))))) |
(/ (+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ (log x) (* -1 (log y))) 2))) (+ z (* x (+ (log x) (* -1 (log y)))))) |
(/ (+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ (log x) (* -1 (log y))) 2))) (+ z (* x (+ (log x) (* -1 (log y)))))) |
(/ (+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ (log x) (* -1 (log y))) 2))) (+ z (* x (+ (log x) (* -1 (log y)))))) |
(/ (+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ (log x) (* -1 (log y))) 2))) (+ z (* x (+ (log x) (* -1 (log y)))))) |
(/ (+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ (log x) (* -1 (log y))) 2))) (+ z (* x (+ (log x) (* -1 (log y)))))) |
(/ (+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ (log x) (* -1 (log y))) 2))) (+ z (* x (+ (log x) (* -1 (log y)))))) |
(* x (+ (log x) (* -1 (log y)))) |
(* x (+ (log x) (* -1 (log y)))) |
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(+ (log x) (* -1 (log y))) |
(+ (log x) (* -1 (log y))) |
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(+ (log x) (* -1 (log y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -1 (* z (- (/ (* x (+ (log y) (log (/ 1 x)))) z) 1))) |
(* -1 (* z (- (/ (* x (+ (log y) (log (/ 1 x)))) z) 1))) |
(* -1 (* z (- (/ (* x (+ (log y) (log (/ 1 x)))) z) 1))) |
(* -1 (* z (- (/ (* x (+ (log y) (log (/ 1 x)))) z) 1))) |
(* (pow z 2) (- (/ (* x (+ (log y) (log (/ 1 x)))) z) 1)) |
(* (pow z 2) (- (/ (* x (+ (log y) (log (/ 1 x)))) z) 1)) |
(* (pow z 2) (- (/ (* x (+ (log y) (log (/ 1 x)))) z) 1)) |
(* (pow z 2) (- (/ (* x (+ (log y) (log (/ 1 x)))) z) 1)) |
(* -1 (* (pow z 2) (- (/ (* x (+ (log y) (log (/ 1 x)))) z) 1))) |
(* -1 (* (pow z 2) (- (/ (* x (+ (log y) (log (/ 1 x)))) z) 1))) |
(* -1 (* (pow z 2) (- (/ (* x (+ (log y) (log (/ 1 x)))) z) 1))) |
(* -1 (* (pow z 2) (- (/ (* x (+ (log y) (log (/ 1 x)))) z) 1))) |
(/ (+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ (log x) (* -1 (log y))) 2))) (+ z (* x (+ (log x) (* -1 (log y)))))) |
(/ (+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ (log x) (* -1 (log y))) 2))) (+ z (* x (+ (log x) (* -1 (log y)))))) |
(/ (+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ (log x) (* -1 (log y))) 2))) (+ z (* x (+ (log x) (* -1 (log y)))))) |
(/ (+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ (log x) (* -1 (log y))) 2))) (+ z (* x (+ (log x) (* -1 (log y)))))) |
(- (* x (+ (log x) (* -1 (log y)))) z) |
(- (* x (+ (log x) (* -1 (log y)))) z) |
(- (* x (+ (log x) (* -1 (log y)))) z) |
(- (* x (+ (log x) (* -1 (log y)))) z) |
(/ 1 (- (* x (+ (log x) (* -1 (log y)))) z)) |
(/ 1 (- (* x (+ (log x) (* -1 (log y)))) z)) |
(/ 1 (- (* x (+ (log x) (* -1 (log y)))) z)) |
(/ 1 (- (* x (+ (log x) (* -1 (log y)))) z)) |
(/ 1 (* x (- (log x) (log y)))) |
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(/ 1 (* x (- (log x) (log y)))) |
(/ 1 (* x (- (log x) (log y)))) |
(- (log x) (log y)) |
(- (log x) (log y)) |
(- (log x) (log y)) |
(- (log x) (log y)) |
(- (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))) z) |
(- (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))) z) |
(- (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))) z) |
(- (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))) z) |
(* -1 (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))) |
(* -1 (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))) |
(* -1 (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))) |
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(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ (+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ (log x) (log (/ 1 y))) 2))) (+ z (* x (+ (log x) (log (/ 1 y)))))) |
(/ (+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ (log x) (log (/ 1 y))) 2))) (+ z (* x (+ (log x) (log (/ 1 y)))))) |
(/ (+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ (log x) (log (/ 1 y))) 2))) (+ z (* x (+ (log x) (log (/ 1 y)))))) |
(/ (+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ (log x) (log (/ 1 y))) 2))) (+ z (* x (+ (log x) (log (/ 1 y)))))) |
(/ (+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ (log x) (log (/ 1 y))) 2))) (+ z (* x (+ (log x) (log (/ 1 y)))))) |
(/ (+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ (log x) (log (/ 1 y))) 2))) (+ z (* x (+ (log x) (log (/ 1 y)))))) |
(/ (+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ (log x) (log (/ 1 y))) 2))) (+ z (* x (+ (log x) (log (/ 1 y)))))) |
(/ (+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ (log x) (log (/ 1 y))) 2))) (+ z (* x (+ (log x) (log (/ 1 y)))))) |
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(/ x y) |
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(* -1 (* z (- (/ (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))) z) 1))) |
(* -1 (* z (- (/ (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))) z) 1))) |
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(- (* x (+ (log x) (log (/ 1 y)))) z) |
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(+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) |
(+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) |
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(/ x y) |
(/ x y) |
(/ x y) |
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(* -1 (* x (* (pow z 2) (+ (/ (log y) z) (/ (log (/ 1 x)) z))))) |
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(/ (- (+ (/ 1 (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) (/ (pow z 2) (* (pow x 2) (pow (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) 3)))) (* -1 (/ z (* x (pow (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) 2))))) x) |
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(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(- (* -1 (log (/ 1 x))) (log y)) |
(- (* -1 (log (/ 1 x))) (log y)) |
(- (* -1 (log (/ 1 x))) (log y)) |
(- (* -1 (log (/ 1 x))) (log y)) |
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(+ (log (* -1 y)) (log (/ -1 x))) |
(+ (log (* -1 y)) (log (/ -1 x))) |
(+ (log (* -1 y)) (log (/ -1 x))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) |
(* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) |
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(* -1 (* x (* z (+ (log (* -1 y)) (log (/ -1 x)))))) |
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(* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) |
(* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) |
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(* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) |
(* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) |
(* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) |
(/ 1 (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) |
(* -1 (/ (- (* -1 (/ z (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3))) (* -1 (/ z (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)))) x)) (/ 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 4)))) (/ (pow z 2) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3))) x)) (* -1 (/ z (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)))) x)) (/ 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) x)) |
(/ 1 (* x (- (+ (log -1) (* -1 (log (/ -1 x)))) (log y)))) |
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(/ 1 (* x (- (+ (log -1) (* -1 (log (/ -1 x)))) (log y)))) |
(/ 1 (* x (- (+ (log -1) (* -1 (log (/ -1 x)))) (log y)))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log y)) |
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log y)) |
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log y)) |
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log y)) |
| Outputs |
|---|
(* -1 (* x (log (/ y x)))) |
(*.f64 (neg.f64 x) (log.f64 (/.f64 y x))) |
(+ (* -1 z) (* -1 (* x (log (/ y x))))) |
(neg.f64 (fma.f64 (log.f64 (/.f64 y x)) x z)) |
(+ (* -1 z) (* -1 (* x (log (/ y x))))) |
(neg.f64 (fma.f64 (log.f64 (/.f64 y x)) x z)) |
(+ (* -1 z) (* -1 (* x (log (/ y x))))) |
(neg.f64 (fma.f64 (log.f64 (/.f64 y x)) x z)) |
(* x (log (/ x y))) |
(*.f64 (log.f64 (/.f64 x y)) x) |
(+ (* -1 z) (* x (log (/ x y)))) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(+ (* -1 z) (* x (log (/ x y)))) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(+ (* -1 z) (* x (log (/ x y)))) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(* x (log (/ x y))) |
(*.f64 (log.f64 (/.f64 x y)) x) |
(+ (* -1 z) (* x (log (/ x y)))) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(+ (* -1 z) (* x (log (/ x y)))) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(+ (* -1 z) (* x (log (/ x y)))) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
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(*.f64 (*.f64 z x) (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(* -1 (* x (+ (* -1 (* z (+ (log (* -1 y)) (log (/ -1 x))))) (/ (pow z 2) x)))) |
(*.f64 (*.f64 z (-.f64 (/.f64 z x) (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (* z (+ (log (* -1 y)) (log (/ -1 x))))) (/ (pow z 2) x)))) |
(*.f64 (*.f64 z (-.f64 (/.f64 z x) (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (* z (+ (log (* -1 y)) (log (/ -1 x))))) (/ (pow z 2) x)))) |
(*.f64 (*.f64 z (-.f64 (/.f64 z x) (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (neg.f64 x)) |
(* -1 (* x (* z (+ (log (* -1 y)) (log (/ -1 x)))))) |
(*.f64 (*.f64 (neg.f64 z) x) (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(* -1 (* x (- (* -1 (/ (pow z 2) x)) (* -1 (* z (+ (log (* -1 y)) (log (/ -1 x)))))))) |
(*.f64 (*.f64 z (-.f64 (/.f64 z x) (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) x) |
(* -1 (* x (- (* -1 (/ (pow z 2) x)) (* -1 (* z (+ (log (* -1 y)) (log (/ -1 x)))))))) |
(*.f64 (*.f64 z (-.f64 (/.f64 z x) (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) x) |
(* -1 (* x (- (* -1 (/ (pow z 2) x)) (* -1 (* z (+ (log (* -1 y)) (log (/ -1 x)))))))) |
(*.f64 (*.f64 z (-.f64 (/.f64 z x) (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) x) |
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x) |
(* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) |
(*.f64 (neg.f64 (+.f64 (-.f64 (/.f64 z x) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x) |
(* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) |
(*.f64 (neg.f64 (+.f64 (-.f64 (/.f64 z x) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x) |
(* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) |
(*.f64 (neg.f64 (+.f64 (-.f64 (/.f64 z x) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x) |
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) |
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x) |
(* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) |
(*.f64 (neg.f64 (+.f64 (-.f64 (/.f64 z x) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x) |
(* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) |
(*.f64 (neg.f64 (+.f64 (-.f64 (/.f64 z x) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x) |
(* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) |
(*.f64 (neg.f64 (+.f64 (-.f64 (/.f64 z x) (log.f64 (/.f64 #s(literal -1 binary64) y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x) |
(/ 1 (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(* -1 (/ (- (* -1 (/ z (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) x)) |
(/.f64 (+.f64 (/.f64 (/.f64 z x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) x) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3))) (* -1 (/ z (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)))) x)) (/ 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 z (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) (/.f64 z x) (/.f64 z (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 4)))) (/ (pow z 2) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3))) x)) (* -1 (/ z (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)))) x)) (/ 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 z (/.f64 z (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 4 binary64)))) x) (/.f64 z (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) x) |
(/ 1 (* x (- (+ (log -1) (* -1 (log (/ -1 x)))) (log y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 y))) |
(/ 1 (* x (- (+ (log -1) (* -1 (log (/ -1 x)))) (log y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 y))) |
(/ 1 (* x (- (+ (log -1) (* -1 (log (/ -1 x)))) (log y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 y))) |
(/ 1 (* x (- (+ (log -1) (* -1 (log (/ -1 x)))) (log y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 y))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log y)) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 y)) |
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log y)) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 y)) |
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log y)) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 y)) |
(- (+ (log -1) (* -1 (log (/ -1 x)))) (log y)) |
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 y)) |
| 5 536× | lower-fma.f32 |
| 5 532× | lower-fma.f64 |
| 4 154× | lower-/.f32 |
| 4 140× | lower-/.f64 |
| 3 612× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 232 |
| 0 | 63 | 224 |
| 1 | 237 | 182 |
| 2 | 1431 | 174 |
| 0 | 8879 | 169 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) |
(neg.f64 (log.f64 (/.f64 y x))) |
(log.f64 (/.f64 y x)) |
(/.f64 y x) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x)) |
(*.f64 (log.f64 (/.f64 x y)) x) |
(log.f64 (/.f64 x y)) |
(/.f64 x y) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z) |
(*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z)) |
(neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y))))) |
#s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y))) |
(/.f64 #s(literal 1 binary64) x) |
(neg.f64 z) |
(-.f64 (log.f64 x) (log.f64 y)) |
| Outputs |
|---|
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Compiled 33 553 to 3 800 computations (88.7% saved)
34 alts after pruning (27 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 592 | 13 | 1 605 |
| Fresh | 8 | 14 | 22 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 602 | 34 | 1 636 |
| Status | Accuracy | Program |
|---|---|---|
| 39.7% | (fma.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (log.f64 (*.f64 y x))) x (neg.f64 z)) | |
| 53.2% | (fma.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x (neg.f64 z)) | |
| ✓ | 79.7% | (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
| ✓ | 25.6% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y))))) |
| 44.5% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 x y))))) | |
| 27.6% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (+.f64 (/.f64 (/.f64 z x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) x))) | |
| 45.5% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 y x)) x)))) | |
| 47.9% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 binary64) z))) | |
| ✓ | 46.2% | (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) |
| ✓ | 79.7% | (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
| 25.7% | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x))) | |
| 19.6% | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 x y)) #s(literal 1 binary64)) (*.f64 z z)) z)) | |
| 9.4% | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (-.f64 (log.f64 (neg.f64 y)) (log.f64 (neg.f64 x))) #s(literal -1 binary64)) (*.f64 z z))) z)) | |
| 22.9% | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 #s(approx (* (+ (* (/ x z) (log (/ y x))) -1) (* z z)) (*.f64 (*.f64 z x) (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) z)) | |
| 37.1% | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 #s(approx (* (+ (* (/ x z) (log (/ y x))) -1) (* z z)) (*.f64 (*.f64 z x) (log.f64 (/.f64 y x))))) z)) | |
| 45.5% | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (log.f64 (/.f64 y x)) (/.f64 #s(literal -1 binary64) x))) | |
| 2.3% | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 #s(approx (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (*.f64 z z)) z)) | |
| 44.5% | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 x (pow.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))) | |
| 44.9% | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) (/.f64 x z) #s(literal -1 binary64)) z)) | |
| 27.9% | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x)) | |
| 25.6% | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)) | |
| 20.0% | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (*.f64 (*.f64 z z) (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) z))) | |
| 45.5% | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x)) | |
| ✓ | 44.6% | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x)) |
| 34.6% | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 #s(approx (+ (* (log (/ x y)) (/ x z)) -1) (*.f64 (log.f64 (/.f64 x y)) (/.f64 x z))) z)) | |
| ✓ | 2.3% | #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) |
| 2.3% | #s(approx (- (* x (log (/ x y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) z))) | |
| 17.5% | #s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z)))) | |
| 29.3% | #s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))))) | |
| 29.3% | #s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z)) | |
| 2.3% | #s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))) | |
| 2.3% | #s(approx (- (* x (log (/ x y))) z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z z))) | |
| ✓ | 48.0% | #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) |
| 1.2% | #s(approx (- (* x (log (/ x y))) z) (exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))) |
Compiled 1 391 to 585 computations (57.9% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) |
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 z z) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 #s(approx (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (*.f64 z z)) z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (* x (log (/ x y))) z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z z))) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))) |
#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x)) |
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) |
(fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))))) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 #s(approx (+ (* (log (/ x y)) (/ x z)) -1) (*.f64 (log.f64 (/.f64 x y)) (/.f64 x z))) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (log.f64 (/.f64 y x)) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 #s(approx (* (+ (* (/ x z) (log (/ y x))) -1) (* z z)) (*.f64 (*.f64 z x) (log.f64 (/.f64 y x))))) z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 y x)) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 x y))))) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 x y)) #s(literal 1 binary64)) (*.f64 z z)) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (*.f64 (*.f64 z z) (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (* x (log (/ x y))) z) (exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))) |
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)) |
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x))) |
(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) |
(fma.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x (neg.f64 z)) |
(-.f64 (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)) z) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 x (pow.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) (/.f64 x z) #s(literal -1 binary64)) z)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y))))) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 #s(approx (* (+ (* (/ x z) (log (/ y x))) -1) (* z z)) (*.f64 (*.f64 z x) (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) z)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* (log (/ x y)) x) (neg z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) #s(literal -1 binary64))) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (-.f64 (log.f64 (neg.f64 y)) (log.f64 (neg.f64 x))) #s(literal -1 binary64)) (*.f64 z z))) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 #s(approx (+ (* (log (/ x y)) (/ x z)) -1) (neg.f64 (fma.f64 (/.f64 (neg.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) z) x #s(literal 1 binary64)))) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z z))) |
(/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z)) |
(/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) |
(/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (fma.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 z z))) (fma.f64 (log.f64 (/.f64 x y)) x z)) |
(*.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 #s(approx (/ x (+ (* (log (/ x y)) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))) x) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) |
(fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) x) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) |
(fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) |
(fma.f64 (*.f64 (*.f64 x x) (log.f64 (/.f64 x y))) (/.f64 (log.f64 (/.f64 x y)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) |
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (log.f64 (*.f64 y x))) z) |
(fma.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (log.f64 (*.f64 y x))) x (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (+.f64 (/.f64 (/.f64 z x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (/.f64 z x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (*.f64 z z))) (*.f64 (/.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (*.f64 z z)))) |
(-.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))))))) z) |
(-.f64 (*.f64 x (-.f64 (/.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))))) (/.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))))))) z) |
| Outputs |
|---|
(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) |
(-.f64 (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)) z) |
5 calls:
| 35.0ms | z |
| 27.0ms | x |
| 19.0ms | (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
| 17.0ms | y |
| 16.0ms | (*.f64 x (log.f64 (/.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | x |
| 99.4% | 2 | y |
| 82.4% | 2 | z |
| 90.5% | 3 | (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
| 90.5% | 3 | (*.f64 x (log.f64 (/.f64 x y))) |
Compiled 17 to 22 computations (-29.4% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) |
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 z z) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 #s(approx (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (*.f64 z z)) z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (* x (log (/ x y))) z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z z))) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))) |
#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x)) |
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) |
(fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))))) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 #s(approx (+ (* (log (/ x y)) (/ x z)) -1) (*.f64 (log.f64 (/.f64 x y)) (/.f64 x z))) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (log.f64 (/.f64 y x)) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 #s(approx (* (+ (* (/ x z) (log (/ y x))) -1) (* z z)) (*.f64 (*.f64 z x) (log.f64 (/.f64 y x))))) z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 y x)) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 x y))))) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 x y)) #s(literal 1 binary64)) (*.f64 z z)) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (*.f64 (*.f64 z z) (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (* x (log (/ x y))) z) (exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))) |
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)) |
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x))) |
(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) |
(fma.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x (neg.f64 z)) |
| Outputs |
|---|
(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) |
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) |
2 calls:
| 39.0ms | y |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | x |
| 99.4% | 2 | y |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) |
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 z z) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 #s(approx (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (*.f64 z z)) z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (* x (log (/ x y))) z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z z))) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))) |
#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x)) |
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) |
(fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))))) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 #s(approx (+ (* (log (/ x y)) (/ x z)) -1) (*.f64 (log.f64 (/.f64 x y)) (/.f64 x z))) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (log.f64 (/.f64 y x)) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 #s(approx (* (+ (* (/ x z) (log (/ y x))) -1) (* z z)) (*.f64 (*.f64 z x) (log.f64 (/.f64 y x))))) z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 y x)) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 x y))))) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 x y)) #s(literal 1 binary64)) (*.f64 z z)) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (*.f64 (*.f64 z z) (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (* x (log (/ x y))) z) (exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))) |
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)) |
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x))) |
| Outputs |
|---|
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x)) |
(fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) |
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) |
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) |
2 calls:
| 15.0ms | x |
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.1% | 4 | x |
| 90.1% | 2 | y |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) |
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 z z) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 #s(approx (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (*.f64 z z)) z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (* x (log (/ x y))) z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z z))) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))) |
#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x)) |
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) |
(fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))))) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 #s(approx (+ (* (log (/ x y)) (/ x z)) -1) (*.f64 (log.f64 (/.f64 x y)) (/.f64 x z))) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (log.f64 (/.f64 y x)) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 #s(approx (* (+ (* (/ x z) (log (/ y x))) -1) (* z z)) (*.f64 (*.f64 z x) (log.f64 (/.f64 y x))))) z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 y x)) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 x y))))) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 x y)) #s(literal 1 binary64)) (*.f64 z z)) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (*.f64 (*.f64 z z) (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (* x (log (/ x y))) z) (exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))) |
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)) |
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) |
| Outputs |
|---|
(fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) |
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) |
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) |
1 calls:
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.7% | 3 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) |
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 z z) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 #s(approx (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (*.f64 z z)) z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (* x (log (/ x y))) z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z z))) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))) |
#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x)) |
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) |
(fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))))) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 #s(approx (+ (* (log (/ x y)) (/ x z)) -1) (*.f64 (log.f64 (/.f64 x y)) (/.f64 x z))) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (log.f64 (/.f64 y x)) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 #s(approx (* (+ (* (/ x z) (log (/ y x))) -1) (* z z)) (*.f64 (*.f64 z x) (log.f64 (/.f64 y x))))) z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 y x)) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 x y))))) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 x y)) #s(literal 1 binary64)) (*.f64 z z)) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (*.f64 (*.f64 z z) (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (* x (log (/ x y))) z) (exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))) |
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)) |
| Outputs |
|---|
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) |
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)) |
4 calls:
| 37.0ms | (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
| 19.0ms | y |
| 9.0ms | x |
| 9.0ms | (*.f64 x (log.f64 (/.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.6% | 3 | (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
| 89.6% | 3 | (*.f64 x (log.f64 (/.f64 x y))) |
| 79.7% | 1 | y |
| 89.9% | 4 | x |
Compiled 16 to 19 computations (-18.8% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) |
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 z z) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 #s(approx (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (*.f64 z z)) z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (* x (log (/ x y))) z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z z))) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))) |
#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x)) |
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) |
(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) |
(fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))))) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 #s(approx (+ (* (log (/ x y)) (/ x z)) -1) (*.f64 (log.f64 (/.f64 x y)) (/.f64 x z))) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (log.f64 (/.f64 y x)) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 #s(approx (* (+ (* (/ x z) (log (/ y x))) -1) (* z z)) (*.f64 (*.f64 z x) (log.f64 (/.f64 y x))))) z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 y x)) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 x y))))) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 x y)) #s(literal 1 binary64)) (*.f64 z z)) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (*.f64 (*.f64 z z) (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (* x (log (/ x y))) z) (exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) |
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) |
2 calls:
| 37.0ms | (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
| 8.0ms | (*.f64 x (log.f64 (/.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.9% | 3 | (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
| 88.9% | 3 | (*.f64 x (log.f64 (/.f64 x y))) |
Compiled 14 to 13 computations (7.1% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) |
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 z z) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 #s(approx (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (*.f64 z z)) z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (* x (log (/ x y))) z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z z))) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))) |
#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x)) |
| Outputs |
|---|
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x)) |
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) |
5 calls:
| 24.0ms | x |
| 4.0ms | y |
| 4.0ms | z |
| 4.0ms | (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
| 4.0ms | (*.f64 x (log.f64 (/.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.1% | 3 | y |
| 71.3% | 3 | z |
| 71.0% | 3 | x |
| 55.2% | 3 | (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
| 71.8% | 5 | (*.f64 x (log.f64 (/.f64 x y))) |
Compiled 17 to 22 computations (-29.4% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) |
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 z z) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 #s(approx (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (*.f64 z z)) z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (* x (log (/ x y))) z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z z))) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))) |
#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x)) |
| Outputs |
|---|
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) |
#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x)) |
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) |
2 calls:
| 4.0ms | x |
| 4.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.1% | 3 | x |
| 70.5% | 3 | z |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) |
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 z z) z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 #s(approx (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (*.f64 z z)) z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (- (* x (log (/ x y))) z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z z))) |
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) |
5 calls:
| 9.0ms | y |
| 6.0ms | z |
| 3.0ms | x |
| 3.0ms | (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
| 3.0ms | (*.f64 x (log.f64 (/.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.0% | 1 | y |
| 48.0% | 1 | (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
| 48.0% | 1 | (*.f64 x (log.f64 (/.f64 x y))) |
| 48.0% | 1 | x |
| 48.0% | 1 | z |
Compiled 17 to 22 computations (-29.4% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) |
| Outputs |
|---|
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) |
5 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
| 1.0ms | (*.f64 x (log.f64 (/.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.3% | 1 | (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) |
| 2.3% | 1 | (*.f64 x (log.f64 (/.f64 x y))) |
| 2.3% | 1 | x |
| 2.3% | 1 | y |
| 2.3% | 1 | z |
Compiled 17 to 22 computations (-29.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 34.0ms | -3.595412756897767e-301 | 9.229156151619269e-304 |
| 9.0ms | 160× | 0 | valid |
| 8.0ms | 145× | 0 | invalid |
Compiled 231 to 223 computations (3.5% saved)
ival-div: 3.0ms (32% of total)ival-log: 3.0ms (32% of total)ival-mult: 2.0ms (21.4% of total)ival-sub: 1.0ms (10.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -3.595412756897767e-301 | 9.229156151619269e-304 |
Compiled 211 to 213 computations (-0.9% saved)
| 3× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | -3.368979586682225e-300 | 3.712048076934728e-286 |
| 31.0ms | -3.327200284824827e-231 | -2.879577864275347e-238 |
| 28.0ms | -6.457815749792536e+238 | -1.8872842505327518e+238 |
| 22.0ms | 240× | 0 | valid |
| 11.0ms | 217× | 0 | invalid |
Compiled 226 to 263 computations (-16.4% saved)
ival-mult: 10.0ms (46.4% of total)ival-div: 4.0ms (18.6% of total)ival-log: 4.0ms (18.6% of total)ival-sub: 2.0ms (9.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.368979586682225e-300 | 3.712048076934728e-286 |
| 1.0ms | -3.327200284824827e-231 | -2.879577864275347e-238 |
Compiled 131 to 163 computations (-24.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.044242309092728e+290 | 4.605581050588458e+297 |
| 0.0ms | -inf | -8.20777521123281e+306 |
Compiled 11 to 13 computations (-18.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.605581050588458e+297 | +inf |
| 0.0ms | -inf | -8.20777521123281e+306 |
Compiled 11 to 13 computations (-18.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 9.003083970139286e-6 | 0.0002884073071814758 |
| 11.0ms | -3060069646917357.5 | -95777418818275.33 |
| 13.0ms | 224× | 0 | valid |
Compiled 165 to 223 computations (-35.2% saved)
ival-log: 3.0ms (40.2% of total)ival-div: 2.0ms (26.8% of total)ival-sub: 1.0ms (13.4% of total)ival-mult: 1.0ms (13.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 9.003083970139286e-6 | 0.0002884073071814758 |
| 1.0ms | -3060069646917357.5 | -95777418818275.33 |
Compiled 151 to 209 computations (-38.4% saved)
| 1× | egg-herbie |
| 30× | *-commutative-binary64-*.f64 |
| 28× | +-commutative-binary64-+.f64 |
| 28× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 16× | neg-sub0-binary64--.f64-neg.f64 |
| 16× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 401 |
| 1 | 109 | 401 |
| 2 | 137 | 401 |
| 3 | 152 | 401 |
| 4 | 155 | 401 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) (-.f64 (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)) z)) |
(if (<=.f64 y #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)) |
(if (<=.f64 x #s(literal -19000000000000001213483378617524991456800236331698898010675730328696975669560053651844463939569971320371793507100332760434252161638749695983898885330382915594840246125995144338571844885904943820576890408180035323811880050559768548830347264 binary64)) #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x)) (if (<=.f64 x #s(literal -7016531460026365/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824 binary64)) (fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) (if (<=.f64 x #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)))) |
(if (<=.f64 x #s(literal -7016531460026365/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824 binary64)) (fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) (if (<=.f64 x #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z))) |
(if (<=.f64 (*.f64 x (log.f64 (/.f64 x y))) #s(literal -inf.0 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 (*.f64 x (log.f64 (/.f64 x y))) #s(literal 499999999999999978930451175173142066076775939048257141926258886614516577002786239313118268535951812574041306445493431857101228510021003209840763187482937088894311771724997242528629131330872974013383816137806524948480039480659075272709232330533995834790894142764502740352844098034426819117056 binary64)) (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)))) |
(if (<=.f64 (*.f64 x (log.f64 (/.f64 x y))) #s(literal -inf.0 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 (*.f64 x (log.f64 (/.f64 x y))) #s(literal 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)))) |
(if (<=.f64 z #s(literal -140000000000000 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 z #s(literal 2434970217729661/73786976294838206464 binary64)) #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)))) |
(if (<=.f64 z #s(literal -140000000000000 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 z #s(literal 2434970217729661/73786976294838206464 binary64)) #s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)))) |
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) |
| Outputs |
|---|
(if (<=.f64 y #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) (-.f64 (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)) z)) |
(if (<=.f64 y #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x) z) (-.f64 (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)) z)) |
(if (<=.f64 y #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)) |
(if (<=.f64 y #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x) z) (-.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) z)) |
(if (<=.f64 x #s(literal -19000000000000001213483378617524991456800236331698898010675730328696975669560053651844463939569971320371793507100332760434252161638749695983898885330382915594840246125995144338571844885904943820576890408180035323811880050559768548830347264 binary64)) #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x)) (if (<=.f64 x #s(literal -7016531460026365/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824 binary64)) (fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) (if (<=.f64 x #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)))) |
(if (<=.f64 x #s(literal -19000000000000001213483378617524991456800236331698898010675730328696975669560053651844463939569971320371793507100332760434252161638749695983898885330382915594840246125995144338571844885904943820576890408180035323811880050559768548830347264 binary64)) #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x)) (if (<=.f64 x #s(literal -7016531460026365/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824 binary64)) (fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) (if (<=.f64 x #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (-.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) z)))) |
(if (<=.f64 x #s(literal -7016531460026365/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824 binary64)) (fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) (if (<=.f64 x #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z))) |
(if (<=.f64 x #s(literal -7016531460026365/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824 binary64)) (fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) (if (<=.f64 x #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (-.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) z))) |
(if (<=.f64 (*.f64 x (log.f64 (/.f64 x y))) #s(literal -inf.0 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 (*.f64 x (log.f64 (/.f64 x y))) #s(literal 499999999999999978930451175173142066076775939048257141926258886614516577002786239313118268535951812574041306445493431857101228510021003209840763187482937088894311771724997242528629131330872974013383816137806524948480039480659075272709232330533995834790894142764502740352844098034426819117056 binary64)) (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)))) |
(if (<=.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal -inf.0 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 499999999999999978930451175173142066076775939048257141926258886614516577002786239313118268535951812574041306445493431857101228510021003209840763187482937088894311771724997242528629131330872974013383816137806524948480039480659075272709232330533995834790894142764502740352844098034426819117056 binary64)) (-.f64 (*.f64 (log.f64 (/.f64 x y)) x) z) #s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)))) |
(if (<=.f64 (*.f64 x (log.f64 (/.f64 x y))) #s(literal -inf.0 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 (*.f64 x (log.f64 (/.f64 x y))) #s(literal 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)))) |
(if (<=.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal -inf.0 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) (-.f64 (*.f64 (log.f64 (/.f64 x y)) x) z) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)))) |
(if (<=.f64 z #s(literal -140000000000000 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 z #s(literal 2434970217729661/73786976294838206464 binary64)) #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)))) |
(if (<=.f64 z #s(literal -140000000000000 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 z #s(literal 2434970217729661/73786976294838206464 binary64)) #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 y x)) (neg.f64 x))) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)))) |
(if (<=.f64 z #s(literal -140000000000000 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 z #s(literal 2434970217729661/73786976294838206464 binary64)) #s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)))) |
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) |
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) |
| 13 420× | lower-fma.f64 |
| 13 420× | lower-fma.f32 |
| 7 838× | lower-fma.f64 |
| 7 838× | lower-fma.f32 |
| 6 478× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 256 |
| 0 | 78 | 233 |
| 1 | 284 | 196 |
| 2 | 1933 | 179 |
| 0 | 9636 | 179 |
| 0 | 7 | 21 |
| 0 | 11 | 21 |
| 1 | 38 | 21 |
| 2 | 230 | 21 |
| 3 | 2061 | 21 |
| 0 | 8395 | 21 |
| 0 | 54 | 775 |
| 1 | 154 | 719 |
| 2 | 424 | 719 |
| 3 | 1132 | 719 |
| 4 | 2897 | 719 |
| 5 | 4858 | 719 |
| 6 | 5921 | 719 |
| 7 | 6565 | 719 |
| 8 | 6831 | 719 |
| 9 | 6911 | 719 |
| 10 | 7952 | 719 |
| 0 | 8339 | 719 |
| 0 | 41 | 232 |
| 0 | 63 | 224 |
| 1 | 237 | 182 |
| 2 | 1431 | 174 |
| 0 | 8879 | 169 |
| 0 | 561 | 7328 |
| 1 | 1688 | 6955 |
| 2 | 6022 | 6861 |
| 0 | 8616 | 6731 |
| 0 | 32 | 162 |
| 0 | 57 | 125 |
| 1 | 218 | 125 |
| 2 | 1373 | 125 |
| 0 | 8712 | 125 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
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| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 527 to 287 computations (45.5% saved)
Compiled 536 to 176 computations (67.2% saved)
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