
Time bar (total: 9.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 100% | 49.9% | 0% | 0.1% | 0% | 49.9% | 0% | 3 |
Compiled 10 to 9 computations (10% saved)
| 1.1s | 8 255× | 0 | valid |
| 0.0ms | 1× | 3 | valid |
ival-sub: 461.0ms (71.3% of total)ival-log: 115.0ms (17.8% of total)ival-mult: 60.0ms (9.3% of total)ival-true: 6.0ms (0.9% of total)ival-assert: 4.0ms (0.6% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 0 | 0 | - | 0 | - | (*.f64 x (log.f64 y)) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 x (log.f64 y)) z) |
| 0 | 0 | - | 0 | - | (log.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 33.0ms | 512× | 0 | valid |
Compiled 58 to 25 computations (56.9% saved)
ival-log: 7.0ms (38.7% of total)ival-mult: 6.0ms (33.2% of total)ival-sub: 4.0ms (22.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 400× | lower-fma.f64 |
| 400× | lower-fma.f32 |
| 388× | sub-neg |
| 308× | cancel-sign-sub-inv |
| 304× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 83 |
| 1 | 78 | 79 |
| 2 | 236 | 75 |
| 3 | 657 | 75 |
| 4 | 1373 | 75 |
| 5 | 1939 | 75 |
| 6 | 2165 | 75 |
| 7 | 2250 | 75 |
| 8 | 2267 | 75 |
| 9 | 2269 | 75 |
| 0 | 7 | 8 |
| 0 | 11 | 8 |
| 1 | 18 | 8 |
| 2 | 35 | 8 |
| 3 | 72 | 8 |
| 4 | 141 | 8 |
| 5 | 269 | 8 |
| 6 | 372 | 8 |
| 7 | 474 | 8 |
| 8 | 499 | 8 |
| 9 | 503 | 8 |
| 0 | 503 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| Outputs |
|---|
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
Compiled 8 to 7 computations (12.5% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
Compiled 8 to 7 computations (12.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 y) | |
| cost-diff | 0 | (*.f64 x (log.f64 y)) | |
| cost-diff | 0 | (-.f64 (*.f64 x (log.f64 y)) z) | |
| cost-diff | 0 | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 400× | lower-fma.f64 |
| 400× | lower-fma.f32 |
| 160× | lower-*.f32 |
| 158× | lower-*.f64 |
| 120× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 18 | 23 |
| 2 | 35 | 23 |
| 3 | 72 | 23 |
| 4 | 141 | 23 |
| 5 | 269 | 23 |
| 6 | 372 | 23 |
| 7 | 474 | 23 |
| 8 | 499 | 23 |
| 9 | 503 | 23 |
| 0 | 503 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
(-.f64 (*.f64 x (log.f64 y)) z) |
(*.f64 x (log.f64 y)) |
x |
(log.f64 y) |
y |
z |
| Outputs |
|---|
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 x (log.f64 y)) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(*.f64 x (log.f64 y)) |
(*.f64 (log.f64 y) x) |
x |
(log.f64 y) |
y |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.00390625 | (-.f64 (*.f64 x (log.f64 y)) z) | |
| accuracy | 0.0078125 | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) | |
| accuracy | 0.296875 | (*.f64 x (log.f64 y)) |
| 15.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-log: 3.0ms (40.7% of total)ival-sub: 2.0ms (27.1% of total)ival-mult: 2.0ms (27.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ()) |
#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ()) |
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (* x (log y)) y) (taylor 0 z) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) (taylor inf z) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) (taylor inf z) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) (taylor inf z) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ (* x (log y)) z) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ (* x (log y)) z) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ (* x (log y)) z) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) (taylor -inf z) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) (taylor -inf z) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) (taylor -inf z) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (log y)) z) (taylor 0 y) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 y) (* x (log y))) z) (taylor 0 y) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 y) (* x (log y))) z) (taylor 0 y) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 y) (* x (log y))) z) (taylor 0 y) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (log y)) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (log y)) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (log y)) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (log y)) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor 0 y) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor 0 y) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor 0 y) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor 0 y) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (log y) (taylor 0 y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (log y) (taylor 0 y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (log y) (taylor 0 y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (log y) (taylor 0 y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (* x (log (/ 1 y)))) z) (taylor inf y) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (* x (log (/ 1 y)))) z) (taylor inf y) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (* x (log (/ 1 y)))) z) (taylor inf y) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (* x (log (/ 1 y)))) z) (taylor inf y) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) (taylor -inf y) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) (taylor -inf y) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) (taylor -inf y) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf y) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf y) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf y) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf y) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (log (/ -1 y)))) (taylor -inf y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (log (/ -1 y)))) (taylor -inf y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (log (/ -1 y)))) (taylor -inf y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (log (/ -1 y)))) (taylor -inf y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ y z)) (taylor 0 x) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (log y)) (+ y z)) (taylor 0 x) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (log y)) (+ y z)) (taylor 0 x) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (log y)) (+ y z)) (taylor 0 x) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (log y)) z) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (log y)) z) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (log y)) z) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor 0 x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor 0 x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor 0 x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor 0 x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor inf x) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log y) (* -1 (/ (+ y z) x)))) (taylor inf x) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log y) (* -1 (/ (+ y z) x)))) (taylor inf x) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log y) (* -1 (/ (+ y z) x)))) (taylor inf x) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor inf x) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log y) (* -1 (/ z x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log y) (* -1 (/ z x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log y) (* -1 (/ z x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor inf x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor inf x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor inf x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor inf x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) (taylor -inf x) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) (taylor -inf x) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) (taylor -inf x) (#s(alt (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (patch (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (log y)) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (log y)) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (log y)) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (log.f64 y)) z) (patch (-.f64 (*.f64 x (log.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | y | @ | -inf | ((- (- (* x (log y)) z) y) (- (* x (log y)) z) (* x (log y)) (log y)) |
| 26.0ms | x | @ | 0 | ((- (- (* x (log y)) z) y) (- (* x (log y)) z) (* x (log y)) (log y)) |
| 25.0ms | y | @ | 0 | ((- (- (* x (log y)) z) y) (- (* x (log y)) z) (* x (log y)) (log y)) |
| 11.0ms | z | @ | 0 | ((- (- (* x (log y)) z) y) (- (* x (log y)) z) (* x (log y)) (log y)) |
| 7.0ms | y | @ | inf | ((- (- (* x (log y)) z) y) (- (* x (log y)) z) (* x (log y)) (log y)) |
| 1× | egg-herbie |
| 9 182× | lower-fma.f64 |
| 9 182× | lower-fma.f32 |
| 2 712× | lower-*.f64 |
| 2 712× | lower-*.f32 |
| 1 414× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 698 |
| 1 | 239 | 674 |
| 2 | 657 | 671 |
| 3 | 2043 | 653 |
| 4 | 5222 | 653 |
| 0 | 8082 | 650 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* x (log y)) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(* x (log y)) |
(+ (* -1 z) (* x (log y))) |
(+ (* -1 z) (* x (log y))) |
(+ (* -1 z) (* x (log y))) |
(* -1 z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* -1 z) |
(* z (- (/ (* x (log y)) z) 1)) |
(* z (- (/ (* x (log y)) z) 1)) |
(* z (- (/ (* x (log y)) z) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z))))) |
(- (* x (log y)) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(- (* x (log y)) z) |
(- (* x (log y)) z) |
(- (* x (log y)) z) |
(- (* x (log y)) z) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(log y) |
(log y) |
(log y) |
(log y) |
(* -1 y) |
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y)))) |
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y)))) |
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y)))) |
(- (* -1 (* x (log (/ 1 y)))) z) |
(- (* -1 (* x (log (/ 1 y)))) z) |
(- (* -1 (* x (log (/ 1 y)))) z) |
(- (* -1 (* x (log (/ 1 y)))) z) |
(* -1 (* x (log (/ 1 y)))) |
(* -1 (* x (log (/ 1 y)))) |
(* -1 (* x (log (/ 1 y)))) |
(* -1 (* x (log (/ 1 y)))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) |
(- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) |
(- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) |
(- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) |
(- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) |
(* x (+ (log -1) (* -1 (log (/ -1 y))))) |
(* x (+ (log -1) (* -1 (log (/ -1 y))))) |
(* x (+ (log -1) (* -1 (log (/ -1 y))))) |
(* x (+ (log -1) (* -1 (log (/ -1 y))))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(* -1 (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(* -1 z) |
(- (* x (log y)) z) |
(- (* x (log y)) z) |
(- (* x (log y)) z) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ z x)))) |
(* x (+ (log y) (* -1 (/ z x)))) |
(* x (+ (log y) (* -1 (/ z x)))) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
| Outputs |
|---|
(- (* x (log y)) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(- (+ (* -1 z) (* x (log y))) y) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(- (+ (* -1 z) (* x (log y))) y) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(- (+ (* -1 z) (* x (log y))) y) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(+ (* -1 z) (* x (log y))) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(+ (* -1 z) (* x (log y))) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(+ (* -1 z) (* x (log y))) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ (* x (log y)) z) 1)) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(* z (- (/ (* x (log y)) z) 1)) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(* z (- (/ (* x (log y)) z) 1)) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z))))) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z))))) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z))))) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(- (* x (log y)) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(- (+ (* -1 y) (* x (log y))) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(- (+ (* -1 y) (* x (log y))) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(- (* x (log y)) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(- (* x (log y)) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(- (* x (log y)) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(- (* x (log y)) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(log y) |
(log.f64 y) |
(log y) |
(log.f64 y) |
(log y) |
(log.f64 y) |
(log y) |
(log.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y)))) |
(fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) y (*.f64 (log.f64 y) x)) |
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y)))) |
(fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) y (*.f64 (log.f64 y) x)) |
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y)))) |
(fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) y (*.f64 (log.f64 y) x)) |
(- (* -1 (* x (log (/ 1 y)))) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(- (* -1 (* x (log (/ 1 y)))) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(- (* -1 (* x (log (/ 1 y)))) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(- (* -1 (* x (log (/ 1 y)))) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(* -1 (* x (log (/ 1 y)))) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (log (/ 1 y)))) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (log (/ 1 y)))) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (log (/ 1 y)))) |
(*.f64 (log.f64 y) x) |
(* -1 (log (/ 1 y))) |
(log.f64 y) |
(* -1 (log (/ 1 y))) |
(log.f64 y) |
(* -1 (log (/ 1 y))) |
(log.f64 y) |
(* -1 (log (/ 1 y))) |
(log.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (-.f64 (neg.f64 y) z)) |
(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (-.f64 (neg.f64 y) z)) |
(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (-.f64 (neg.f64 y) z)) |
(- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)) |
(- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)) |
(- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)) |
(- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)) |
(* x (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) |
(* x (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) |
(* x (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) |
(* x (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(* -1 (+ y z)) |
(-.f64 (neg.f64 y) z) |
(- (* x (log y)) (+ y z)) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(- (* x (log y)) (+ y z)) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(- (* x (log y)) (+ y z)) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 z) |
(neg.f64 z) |
(- (* x (log y)) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(- (* x (log y)) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(- (* x (log y)) z) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (+ (log y) (* -1 (/ z x)))) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(* x (+ (log y) (* -1 (/ z x)))) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(* x (+ (log y) (* -1 (/ z x)))) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
| 4 830× | lower-fma.f64 |
| 4 830× | lower-fma.f32 |
| 4 164× | lower-*.f32 |
| 4 162× | lower-*.f64 |
| 2 232× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 43 | 20 |
| 2 | 356 | 20 |
| 3 | 5506 | 20 |
| 0 | 8493 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
(-.f64 (*.f64 x (log.f64 y)) z) |
(*.f64 x (log.f64 y)) |
(log.f64 y) |
| Outputs |
|---|
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Compiled 7 746 to 674 computations (91.3% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 307 | 16 | 323 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 308 | 16 | 324 |
| Status | Accuracy | Program |
|---|---|---|
| 61.0% | (fma.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) (neg.f64 y)) | |
| 99.3% | (fma.f64 (fma.f64 (log.f64 y) x z) (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64))) (neg.f64 y)) | |
| ▶ | 99.8% | (fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) |
| 78.9% | (-.f64 (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y) | |
| 99.3% | (-.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y) | |
| ▶ | 99.3% | (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y) |
| 61.0% | (-.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64))) (fma.f64 (log.f64 y) x z)) y) | |
| 99.8% | (-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) | |
| 70.7% | (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) | |
| 68.0% | (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) | |
| 70.7% | #s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y))) | |
| ▶ | 61.8% | #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) |
| 33.7% | #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) | |
| 30.2% | #s(approx (- (- (* x (log y)) z) y) (neg.f64 z)) | |
| ▶ | 39.3% | #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
Compiled 406 to 296 computations (27.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) | |
| cost-diff | 0 | (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y) | |
| cost-diff | 22080 | (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) | |
| cost-diff | 0 | (-.f64 (*.f64 (log.f64 y) x) z) | |
| cost-diff | 0 | (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) | |
| cost-diff | 0 | (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)) | |
| cost-diff | 7168 | (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) | |
| cost-diff | 0 | (log.f64 y) | |
| cost-diff | 0 | (*.f64 (log.f64 y) x) | |
| cost-diff | 0 | (-.f64 (*.f64 (log.f64 y) x) z) | |
| cost-diff | 0 | #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (-.f64 (neg.f64 z) y) | |
| cost-diff | 0 | (log.f64 y) | |
| cost-diff | 0 | (fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
| 11 704× | lower-fma.f32 |
| 11 698× | lower-fma.f64 |
| 2 940× | lower-*.f32 |
| 2 934× | lower-*.f64 |
| 1 170× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 219 |
| 0 | 51 | 179 |
| 1 | 90 | 179 |
| 2 | 166 | 179 |
| 3 | 368 | 179 |
| 4 | 760 | 179 |
| 5 | 1446 | 179 |
| 6 | 2414 | 179 |
| 7 | 3028 | 179 |
| 8 | 3241 | 179 |
| 9 | 3262 | 179 |
| 10 | 3267 | 179 |
| 11 | 3267 | 179 |
| 12 | 3451 | 179 |
| 13 | 4091 | 179 |
| 14 | 5301 | 179 |
| 15 | 6413 | 179 |
| 16 | 7313 | 179 |
| 0 | 8178 | 179 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
(log.f64 y) |
y |
x |
(-.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(*.f64 (log.f64 y) x) |
(log.f64 y) |
y |
x |
z |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(*.f64 (log.f64 y) x) |
(log.f64 y) |
y |
x |
z |
#s(literal -1 binary64) |
(-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) |
x |
(/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) |
(*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (log.f64 y) #s(literal 2 binary64)) |
(log.f64 y) |
y |
#s(literal 2 binary64) |
(fma.f64 (log.f64 y) x z) |
z |
(neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z)))) |
(*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))) |
(/.f64 z (fma.f64 (log.f64 y) x z)) |
| Outputs |
|---|
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
(fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y)) |
(log.f64 y) |
y |
x |
(-.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) |
#s(approx (- (- (* x (log y)) z) y) (fma.f64 x (log.f64 y) (neg.f64 z))) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(fma.f64 x (log.f64 y) (neg.f64 z)) |
(*.f64 (log.f64 y) x) |
(*.f64 x (log.f64 y)) |
(log.f64 y) |
y |
x |
z |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) |
(fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y)) |
#s(literal 1 binary64) |
(pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y)) #s(literal -1 binary64)) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) |
(fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y)) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(fma.f64 x (log.f64 y) (neg.f64 z)) |
(*.f64 (log.f64 y) x) |
(*.f64 x (log.f64 y)) |
(log.f64 y) |
y |
x |
z |
#s(literal -1 binary64) |
(-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y) |
(fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y)) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) |
(fma.f64 x (log.f64 y) (neg.f64 z)) |
x |
(/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) |
(*.f64 (/.f64 x (fma.f64 x (log.f64 y) z)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (log.f64 y) #s(literal 2 binary64)) |
(log.f64 y) |
y |
#s(literal 2 binary64) |
(fma.f64 (log.f64 y) x z) |
(fma.f64 x (log.f64 y) z) |
z |
(neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z)))) |
(*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) (neg.f64 z)) |
(*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))) |
(*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) z) |
(/.f64 z (fma.f64 (log.f64 y) x z)) |
(/.f64 z (fma.f64 x (log.f64 y) z)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.21875 | (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) | |
| accuracy | 0.3720499723958648 | (/.f64 z (fma.f64 (log.f64 y) x z)) | |
| accuracy | 0.529628759768442 | (pow.f64 (log.f64 y) #s(literal 2 binary64)) | |
| accuracy | 0.5296426209984045 | (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) | |
| accuracy | 0.0078125 | (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) | |
| accuracy | 0.20703125 | (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) | |
| accuracy | 0.25743210078147516 | (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)) | |
| accuracy | 0.296875 | (*.f64 (log.f64 y) x) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.00390625 | (-.f64 (*.f64 (log.f64 y) x) z) | |
| accuracy | 0.296875 | (*.f64 (log.f64 y) x) | |
| accuracy | 24.343818814687157 | #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 38.83463435776024 | #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) | |
| accuracy | 0 | (-.f64 (neg.f64 z) y) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.109375 | (fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
| 109.0ms | 256× | 0 | valid |
Compiled 223 to 31 computations (86.1% saved)
ival-add: 27.0ms (36.4% of total)ival-log: 18.0ms (24.3% of total)ival-mult: 8.0ms (10.8% of total)ival-sub: 7.0ms (9.4% of total)ival-div: 5.0ms (6.7% of total)ival-pow: 4.0ms (5.4% of total)ival-neg: 3.0ms (4% of total)ival-pow2: 2.0ms (2.7% 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 y) x (-.f64 (neg.f64 z) y)) (patch (fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) #<representation binary64>) () ()) |
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 z) y) (patch (-.f64 (neg.f64 z) y) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) (patch #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) (patch #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (log.f64 y) x) z) (patch (-.f64 (*.f64 (log.f64 y) x) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (log.f64 y) x) (patch (*.f64 (log.f64 y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) (patch (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) (patch (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) #<representation binary64>) () ()) |
#s(alt (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y) (patch (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (patch (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) #<representation binary64>) () ()) |
#s(alt (pow.f64 (log.f64 y) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 y) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 z (fma.f64 (log.f64 y) x z)) (patch (/.f64 z (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y) (patch (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x (log y)))) (/ (pow z 2) (* x (log y)))) (+ y z)) x))))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y) (patch (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x (log y)))) (/ (pow z 2) (* x (log y)))) (+ y z)) x))))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y) (patch (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y) #<representation binary64>) () ())) ()) |
#s(alt (log y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (patch (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log y) (* -1 (/ z x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (patch (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log y) (* -1 (/ (+ z (* -1 (/ (pow z 2) (* x (log y))))) x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (patch (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log y) (* -1 (/ (+ z (* -1 (/ (+ (* -1 (/ (pow z 3) (* x (pow (log y) 2)))) (/ (pow z 2) (log y))) x))) x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (patch (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow (log y) 2)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow (log y) 2)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow (log y) 2)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow (log y) 2)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ z (* x (log y))) (taylor -inf x) (#s(alt (/.f64 z (fma.f64 (log.f64 y) x z)) (patch (/.f64 z (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ z (log y))) (/ (pow z 2) (* x (pow (log y) 2)))) x)) (taylor -inf x) (#s(alt (/.f64 z (fma.f64 (log.f64 y) x z)) (patch (/.f64 z (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ z (log y))) (* -1 (/ (- (/ (pow z 3) (* x (pow (log y) 3))) (/ (pow z 2) (pow (log y) 2))) x))) x)) (taylor -inf x) (#s(alt (/.f64 z (fma.f64 (log.f64 y) x z)) (patch (/.f64 z (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ z (log y))) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x (pow (log y) 4))) (/ (pow z 3) (pow (log y) 3))) x)) (/ (pow z 2) (pow (log y) 2))) x))) x)) (taylor -inf x) (#s(alt (/.f64 z (fma.f64 (log.f64 y) x z)) (patch (/.f64 z (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 331.0ms | x | @ | inf | ((+ (* (log y) x) (- (neg z) y)) (log y) (- (neg z) y) (neg z) (- (- (* x (log y)) z) y) (neg y) (- (- (* x (log y)) z) y) (- (* (log y) x) z) (* (log y) x) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (- (- (* (log y) x) z) y) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (/ (* (pow (log y) 2) x) (+ (* (log y) x) z)) (* (pow (log y) 2) x) (pow (log y) 2) (/ z (+ (* (log y) x) z))) |
| 35.0ms | y | @ | -inf | ((+ (* (log y) x) (- (neg z) y)) (log y) (- (neg z) y) (neg z) (- (- (* x (log y)) z) y) (neg y) (- (- (* x (log y)) z) y) (- (* (log y) x) z) (* (log y) x) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (- (- (* (log y) x) z) y) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (/ (* (pow (log y) 2) x) (+ (* (log y) x) z)) (* (pow (log y) 2) x) (pow (log y) 2) (/ z (+ (* (log y) x) z))) |
| 13.0ms | y | @ | inf | ((+ (* (log y) x) (- (neg z) y)) (log y) (- (neg z) y) (neg z) (- (- (* x (log y)) z) y) (neg y) (- (- (* x (log y)) z) y) (- (* (log y) x) z) (* (log y) x) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (- (- (* (log y) x) z) y) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (/ (* (pow (log y) 2) x) (+ (* (log y) x) z)) (* (pow (log y) 2) x) (pow (log y) 2) (/ z (+ (* (log y) x) z))) |
| 13.0ms | x | @ | 0 | ((+ (* (log y) x) (- (neg z) y)) (log y) (- (neg z) y) (neg z) (- (- (* x (log y)) z) y) (neg y) (- (- (* x (log y)) z) y) (- (* (log y) x) z) (* (log y) x) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (- (- (* (log y) x) z) y) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (/ (* (pow (log y) 2) x) (+ (* (log y) x) z)) (* (pow (log y) 2) x) (pow (log y) 2) (/ z (+ (* (log y) x) z))) |
| 10.0ms | y | @ | 0 | ((+ (* (log y) x) (- (neg z) y)) (log y) (- (neg z) y) (neg z) (- (- (* x (log y)) z) y) (neg y) (- (- (* x (log y)) z) y) (- (* (log y) x) z) (* (log y) x) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (- (- (* (log y) x) z) y) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (/ (* (pow (log y) 2) x) (+ (* (log y) x) z)) (* (pow (log y) 2) x) (pow (log y) 2) (/ z (+ (* (log y) x) z))) |
| 1× | egg-herbie |
| 6 484× | lower-fma.f64 |
| 6 484× | lower-fma.f32 |
| 4 404× | lower-*.f64 |
| 4 404× | lower-*.f32 |
| 2 432× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 588 | 6229 |
| 1 | 1867 | 5869 |
| 2 | 6046 | 5743 |
| 0 | 8229 | 5588 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* x (log y)) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(* -1 y) |
(- (* -1 z) y) |
(- (* -1 z) y) |
(- (* -1 z) y) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(- (* x (log y)) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (* x (log y)) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(* x (log y)) |
(+ (* -1 z) (* x (log y))) |
(+ (* -1 z) (* x (log y))) |
(+ (* -1 z) (* x (log y))) |
(- (* x (log y)) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(/ 1 (- (* x (log y)) y)) |
(+ (/ 1 (- (* x (log y)) y)) (/ z (pow (- (* x (log y)) y) 2))) |
(+ (* z (+ (/ 1 (pow (- (* x (log y)) y) 2)) (/ z (pow (- (* x (log y)) y) 3)))) (/ 1 (- (* x (log y)) y))) |
(+ (* z (+ (* z (+ (/ 1 (pow (- (* x (log y)) y) 3)) (/ z (pow (- (* x (log y)) y) 4)))) (/ 1 (pow (- (* x (log y)) y) 2)))) (/ 1 (- (* x (log y)) y))) |
(- (* x (log y)) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(* x (log y)) |
(+ (* -1 z) (* x (log y))) |
(+ (* -1 z) (* x (log y))) |
(+ (* -1 z) (* x (log y))) |
(- (* x (log y)) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(log y) |
(+ (log y) (* -1 (/ z x))) |
(+ (log y) (* z (- (/ z (* (pow x 2) (log y))) (/ 1 x)))) |
(+ (log y) (* z (- (* z (+ (* -1 (/ z (* (pow x 3) (pow (log y) 2)))) (/ 1 (* (pow x 2) (log y))))) (/ 1 x)))) |
(/ z (* x (log y))) |
(* z (+ (* -1 (/ z (* (pow x 2) (pow (log y) 2)))) (/ 1 (* x (log y))))) |
(* z (+ (* z (- (/ z (* (pow x 3) (pow (log y) 3))) (/ 1 (* (pow x 2) (pow (log y) 2))))) (/ 1 (* x (log y))))) |
(* z (+ (* z (- (* z (+ (* -1 (/ z (* (pow x 4) (pow (log y) 4)))) (/ 1 (* (pow x 3) (pow (log y) 3))))) (/ 1 (* (pow x 2) (pow (log y) 2))))) (/ 1 (* x (log y))))) |
(* -1 z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* -1 z) |
(* z (- (* -1 (/ y z)) 1)) |
(* z (- (* -1 (/ y z)) 1)) |
(* z (- (* -1 (/ y z)) 1)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* -1 z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* -1 z) |
(* z (- (/ (* x (log y)) z) 1)) |
(* z (- (/ (* x (log y)) z) 1)) |
(* z (- (/ (* x (log y)) z) 1)) |
(* -1 z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(/ -1 z) |
(/ (- (/ y z) (+ 1 (/ (* x (log y)) z))) z) |
(/ (- (+ (/ y z) (/ (* (- y (* x (log y))) (- (* x (log y)) y)) (pow z 2))) (+ 1 (/ (* x (log y)) z))) z) |
(/ (- (+ (/ y z) (/ (* (- y (* x (log y))) (pow (- (* x (log y)) y) 2)) (pow z 3))) (+ 1 (+ (* -1 (/ (* (- y (* x (log y))) (- (* x (log y)) y)) (pow z 2))) (/ (* x (log y)) z)))) z) |
(* -1 z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* -1 z) |
(* z (- (/ (* x (log y)) z) 1)) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))) (+ (/ (* x (log y)) z) (/ (* (pow x 2) (pow (log y) 2)) (pow z 2)))) 1)) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))) (+ (/ (* x (log y)) z) (/ (* (pow x 2) (pow (log y) 2)) (pow z 2)))) 1)) |
(* -1 z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))) (+ (/ (* x (log y)) z) (/ (* (pow x 2) (pow (log y) 2)) (pow z 2)))) (+ 1 (/ y z)))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))) (+ (/ (* x (log y)) z) (/ (* (pow x 2) (pow (log y) 2)) (pow z 2)))) (+ 1 (/ y z)))) |
(/ (* x (pow (log y) 2)) z) |
(/ (+ (* -1 (/ (* (pow x 2) (pow (log y) 3)) z)) (* x (pow (log y) 2))) z) |
(/ (- (+ (* x (pow (log y) 2)) (/ (* (pow x 3) (pow (log y) 4)) (pow z 2))) (/ (* (pow x 2) (pow (log y) 3)) z)) z) |
(/ (- (+ (* -1 (/ (* (pow x 4) (pow (log y) 5)) (pow z 3))) (* x (pow (log y) 2))) (+ (* -1 (/ (* (pow x 3) (pow (log y) 4)) (pow z 2))) (/ (* (pow x 2) (pow (log y) 3)) z))) z) |
1 |
(+ 1 (* -1 (/ (* x (log y)) z))) |
(- (+ 1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))) (/ (* x (log y)) z)) |
(- (+ 1 (* -1 (/ (* (pow x 3) (pow (log y) 3)) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))) (/ (* x (log y)) z))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (/ y z)))) |
(* -1 (* z (+ 1 (/ y z)))) |
(* -1 (* z (+ 1 (/ y z)))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(/ -1 z) |
(* -1 (/ (+ 1 (* -1 (/ (- y (* x (log y))) z))) z)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (/ (* (- y (* x (log y))) (- (* x (log y)) y)) z)) (* x (log y))) z))) z)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (- y (* x (log y))) (pow (- (* x (log y)) y) 2)) z)) (* (- y (* x (log y))) (- (* x (log y)) y))) z))) (* x (log y))) z))) z)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow x 2) (pow (log y) 2))) (* (pow x 2) (pow (log y) 2))) z)) (* x (log y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow x 2) (pow (log y) 2))) (* (pow x 2) (pow (log y) 2))) z)) (* x (log y))) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (* (pow x 2) (pow (log y) 2))) (* (pow x 2) (pow (log y) 2))) z)) (* x (log y))) y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (* (pow x 2) (pow (log y) 2))) (* (pow x 2) (pow (log y) 2))) z)) (* x (log y))) y) z))))) |
(/ (* x (pow (log y) 2)) z) |
(* -1 (/ (+ (* -1 (* x (pow (log y) 2))) (/ (* (pow x 2) (pow (log y) 3)) z)) z)) |
(* -1 (/ (+ (* -1 (* x (pow (log y) 2))) (* -1 (/ (- (/ (* (pow x 3) (pow (log y) 4)) z) (* (pow x 2) (pow (log y) 3))) z))) z)) |
(* -1 (/ (+ (* -1 (* x (pow (log y) 2))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 4) (pow (log y) 5)) z) (* (pow x 3) (pow (log y) 4))) z)) (* (pow x 2) (pow (log y) 3))) z))) z)) |
1 |
(+ 1 (* -1 (/ (* x (log y)) z))) |
(+ 1 (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (log y) 2)) z)) (* -1 (* x (log y)))) z))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (log y) 3)) z)) (* -1 (* (pow x 2) (pow (log y) 2)))) z)) (* -1 (* x (log y)))) z))) |
(- (* x (log y)) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(log y) |
(log y) |
(log y) |
(log y) |
(* -1 z) |
(- (* -1 y) z) |
(- (* -1 y) z) |
(- (* -1 y) z) |
(- (* x (log y)) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
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(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x (log y)))) (/ (pow z 2) (* x (log y)))) (+ y z)) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x (log y)))) (/ (pow z 2) (* x (log y)))) (+ y z)) x))))) |
(log y) |
(+ (log y) (* -1 (/ z x))) |
(+ (log y) (* -1 (/ (+ z (* -1 (/ (pow z 2) (* x (log y))))) x))) |
(+ (log y) (* -1 (/ (+ z (* -1 (/ (+ (* -1 (/ (pow z 3) (* x (pow (log y) 2)))) (/ (pow z 2) (log y))) x))) x))) |
(* x (pow (log y) 2)) |
(* x (pow (log y) 2)) |
(* x (pow (log y) 2)) |
(* x (pow (log y) 2)) |
(/ z (* x (log y))) |
(* -1 (/ (+ (* -1 (/ z (log y))) (/ (pow z 2) (* x (pow (log y) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ z (log y))) (* -1 (/ (- (/ (pow z 3) (* x (pow (log y) 3))) (/ (pow z 2) (pow (log y) 2))) x))) x)) |
(* -1 (/ (+ (* -1 (/ z (log y))) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x (pow (log y) 4))) (/ (pow z 3) (pow (log y) 3))) x)) (/ (pow z 2) (pow (log y) 2))) x))) x)) |
| Outputs |
|---|
(- (* x (log y)) y) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) |
(* -1 y) |
(neg.f64 y) |
(- (* -1 z) y) |
(-.f64 (neg.f64 z) y) |
(- (* -1 z) y) |
(-.f64 (neg.f64 z) y) |
(- (* -1 z) y) |
(-.f64 (neg.f64 z) y) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(- (* x (log y)) y) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) |
(- (* x (log y)) y) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(+ (* -1 z) (* x (log y))) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(+ (* -1 z) (* x (log y))) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(+ (* -1 z) (* x (log y))) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(- (* x (log y)) y) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) |
(/ 1 (- (* x (log y)) y)) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (log.f64 y) x) y)) |
(+ (/ 1 (- (* x (log y)) y)) (/ z (pow (- (* x (log y)) y) 2))) |
(+.f64 (/.f64 z (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (log.f64 y) x) y))) |
(+ (* z (+ (/ 1 (pow (- (* x (log y)) y) 2)) (/ z (pow (- (* x (log y)) y) 3)))) (/ 1 (- (* x (log y)) y))) |
(+.f64 (/.f64 z (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) #s(literal 2 binary64))) (fma.f64 (/.f64 z (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) #s(literal 3 binary64))) z (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (log.f64 y) x) y)))) |
(+ (* z (+ (* z (+ (/ 1 (pow (- (* x (log y)) y) 3)) (/ z (pow (- (* x (log y)) y) 4)))) (/ 1 (pow (- (* x (log y)) y) 2)))) (/ 1 (- (* x (log y)) y))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 z (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) #s(literal 3 binary64)))) z (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (log.f64 y) x) y))) |
(- (* x (log y)) y) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(+ (* -1 z) (* x (log y))) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(+ (* -1 z) (* x (log y))) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(+ (* -1 z) (* x (log y))) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(- (* x (log y)) y) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) |
(log y) |
(log.f64 y) |
(+ (log y) (* -1 (/ z x))) |
(-.f64 (log.f64 y) (/.f64 z x)) |
(+ (log y) (* z (- (/ z (* (pow x 2) (log y))) (/ 1 x)))) |
(fma.f64 (/.f64 (/.f64 z x) x) (/.f64 z (log.f64 y)) (-.f64 (log.f64 y) (/.f64 z x))) |
(+ (log y) (* z (- (* z (+ (* -1 (/ z (* (pow x 3) (pow (log y) 2)))) (/ 1 (* (pow x 2) (log y))))) (/ 1 x)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (log.f64 y) x) x)) (/.f64 (/.f64 z (pow.f64 (log.f64 y) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) z (/.f64 #s(literal -1 binary64) x)) z (log.f64 y)) |
(/ z (* x (log y))) |
(/.f64 (/.f64 z (log.f64 y)) x) |
(* z (+ (* -1 (/ z (* (pow x 2) (pow (log y) 2)))) (/ 1 (* x (log y))))) |
(fma.f64 (neg.f64 z) (/.f64 (/.f64 z (pow.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 x x)) (/.f64 (/.f64 z (log.f64 y)) x)) |
(* z (+ (* z (- (/ z (* (pow x 3) (pow (log y) 3))) (/ 1 (* (pow x 2) (pow (log y) 2))))) (/ 1 (* x (log y))))) |
(fma.f64 (*.f64 z z) (-.f64 (/.f64 (/.f64 z (pow.f64 (log.f64 y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 x x))) (/.f64 (/.f64 z (log.f64 y)) x)) |
(* z (+ (* z (- (* z (+ (* -1 (/ z (* (pow x 4) (pow (log y) 4)))) (/ 1 (* (pow x 3) (pow (log y) 3))))) (/ 1 (* (pow x 2) (pow (log y) 2))))) (/ 1 (* x (log y))))) |
(fma.f64 (*.f64 z z) (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 z (pow.f64 (log.f64 y) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) z (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) x))) (/.f64 (/.f64 z (log.f64 y)) x)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #s(literal 1 binary64)) z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #s(literal 1 binary64)) z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #s(literal 1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (* -1 (/ y z)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) z) |
(* z (- (* -1 (/ y z)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) z) |
(* z (- (* -1 (/ y z)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #s(literal 1 binary64)) z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #s(literal 1 binary64)) z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #s(literal 1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #s(literal 1 binary64)) z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #s(literal 1 binary64)) z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #s(literal 1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ (* x (log y)) z) 1)) |
(*.f64 (fma.f64 (/.f64 (log.f64 y) z) x #s(literal -1 binary64)) z) |
(* z (- (/ (* x (log y)) z) 1)) |
(*.f64 (fma.f64 (/.f64 (log.f64 y) z) x #s(literal -1 binary64)) z) |
(* z (- (/ (* x (log y)) z) 1)) |
(*.f64 (fma.f64 (/.f64 (log.f64 y) z) x #s(literal -1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #s(literal 1 binary64)) z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #s(literal 1 binary64)) z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #s(literal 1 binary64)) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ (- (/ y z) (+ 1 (/ (* x (log y)) z))) z) |
(/.f64 (-.f64 (/.f64 (-.f64 y (*.f64 (log.f64 y) x)) z) #s(literal 1 binary64)) z) |
(/ (- (+ (/ y z) (/ (* (- y (* x (log y))) (- (* x (log y)) y)) (pow z 2))) (+ 1 (/ (* x (log y)) z))) z) |
(/.f64 (+.f64 (/.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) #s(literal 2 binary64)) z)) z) (-.f64 (/.f64 (-.f64 y (*.f64 (log.f64 y) x)) z) #s(literal 1 binary64))) z) |
(/ (- (+ (/ y z) (/ (* (- y (* x (log y))) (pow (- (* x (log y)) y) 2)) (pow z 3))) (+ 1 (+ (* -1 (/ (* (- y (* x (log y))) (- (* x (log y)) y)) (pow z 2))) (/ (* x (log y)) z)))) z) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 y (*.f64 (log.f64 y) x)) (-.f64 (/.f64 y z) (+.f64 (/.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) #s(literal 2 binary64)) z) z) (fma.f64 (/.f64 (log.f64 y) z) x #s(literal 1 binary64))))) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #s(literal 1 binary64)) z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #s(literal 1 binary64)) z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #s(literal 1 binary64)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ (* x (log y)) z) 1)) |
(*.f64 (fma.f64 (/.f64 (log.f64 y) z) x #s(literal -1 binary64)) z) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))) (+ (/ (* x (log y)) z) (/ (* (pow x 2) (pow (log y) 2)) (pow z 2)))) 1)) |
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) z) (*.f64 (log.f64 y) x)) z) (fma.f64 (/.f64 (*.f64 x x) z) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) z) #s(literal -1 binary64))) z) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))) (+ (/ (* x (log y)) z) (/ (* (pow x 2) (pow (log y) 2)) (pow z 2)))) 1)) |
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) z) (*.f64 (log.f64 y) x)) z) (fma.f64 (/.f64 (*.f64 x x) z) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) z) #s(literal -1 binary64))) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #s(literal 1 binary64)) z) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))) (+ (/ (* x (log y)) z) (/ (* (pow x 2) (pow (log y) 2)) (pow z 2)))) (+ 1 (/ y z)))) |
(*.f64 (fma.f64 (neg.f64 (/.f64 (*.f64 x x) z)) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) z) (fma.f64 (/.f64 (*.f64 x x) z) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) z) (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #s(literal 1 binary64)))) z) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))) (+ (/ (* x (log y)) z) (/ (* (pow x 2) (pow (log y) 2)) (pow z 2)))) (+ 1 (/ y z)))) |
(*.f64 (fma.f64 (neg.f64 (/.f64 (*.f64 x x) z)) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) z) (fma.f64 (/.f64 (*.f64 x x) z) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) z) (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #s(literal 1 binary64)))) z) |
(/ (* x (pow (log y) 2)) z) |
(*.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) z) x) |
(/ (+ (* -1 (/ (* (pow x 2) (pow (log y) 3)) z)) (* x (pow (log y) 2))) z) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) z) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x)) z) |
(/ (- (+ (* x (pow (log y) 2)) (/ (* (pow x 3) (pow (log y) 4)) (pow z 2))) (/ (* (pow x 2) (pow (log y) 3)) z)) z) |
(/.f64 (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 (log.f64 y) #s(literal 3 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 4 binary64)) z) (pow.f64 x #s(literal 3 binary64)))) z)) z) |
(/ (- (+ (* -1 (/ (* (pow x 4) (pow (log y) 5)) (pow z 3))) (* x (pow (log y) 2))) (+ (* -1 (/ (* (pow x 3) (pow (log y) 4)) (pow z 2))) (/ (* (pow x 2) (pow (log y) 3)) z))) z) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (log.f64 y) #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 (log.f64 y) #s(literal 3 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 4 binary64)) z) (pow.f64 x #s(literal 3 binary64)))) z))) z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (* x (log y)) z))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 y) x) z)) |
(- (+ 1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))) (/ (* x (log y)) z)) |
(fma.f64 (-.f64 (*.f64 (/.f64 x z) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) z)) (/.f64 (log.f64 y) z)) x #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (* (pow x 3) (pow (log y) 3)) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))) (/ (* x (log y)) z))) |
(fma.f64 (-.f64 (*.f64 (/.f64 x z) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) z)) (/.f64 (log.f64 y) z)) x (fma.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 y) z) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 y (*.f64 (log.f64 y) x)) z) z z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 y (*.f64 (log.f64 y) x)) z) z z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 y (*.f64 (log.f64 y) x)) z) z z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (/ y z)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) z) |
(* -1 (* z (+ 1 (/ y z)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) z) |
(* -1 (* z (+ 1 (/ y z)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 y (*.f64 (log.f64 y) x)) z) z z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 y (*.f64 (log.f64 y) x)) z) z z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 y (*.f64 (log.f64 y) x)) z) z z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 y (*.f64 (log.f64 y) x)) z) z z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
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(/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (/.f64 z (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 z (log.f64 y)) #s(literal 3 binary64)) x)) x) (/.f64 z (log.f64 y))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 (log.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 z x)) x) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 z x)) x) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 z x)) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(/ 1 (* x (log y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)) |
(* -1 (/ (- (* -1 (/ (+ y z) (* x (pow (log y) 2)))) (/ 1 (log y))) x)) |
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 z y) x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 y))) x) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ y z) 2) (* x (pow (log y) 3))) (* -1 (/ (+ y z) (pow (log y) 2)))) x)) (/ 1 (log y))) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 z y) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) x) (pow.f64 (log.f64 y) #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (log.f64 y))) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ y z) 3) (* x (pow (log y) 4)))) (/ (pow (+ y z) 2) (pow (log y) 3))) x)) (* -1 (/ (+ y z) (pow (log y) 2)))) x)) (/ 1 (log y))) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) x) (pow.f64 (log.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64)))) x) (/.f64 (+.f64 z y) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) x) (/.f64 #s(literal 1 binary64) (log.f64 y))) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 z x)) x) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x (log y)))) (/ (pow z 2) (* x (log y)))) z) x))))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 z x)) x) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x (log y)))) (/ (pow z 2) (* x (log y)))) z) x))))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 z x)) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x (log y)))) (/ (pow z 2) (* x (log y)))) (+ y z)) x))))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x (log y)))) (/ (pow z 2) (* x (log y)))) (+ y z)) x))))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(log y) |
(log.f64 y) |
(+ (log y) (* -1 (/ z x))) |
(-.f64 (log.f64 y) (/.f64 z x)) |
(+ (log y) (* -1 (/ (+ z (* -1 (/ (pow z 2) (* x (log y))))) x))) |
(-.f64 (log.f64 y) (/.f64 (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 z (log.f64 y)) z) x)) |
(+ (log y) (* -1 (/ (+ z (* -1 (/ (+ (* -1 (/ (pow z 3) (* x (pow (log y) 2)))) (/ (pow z 2) (log y))) x))) x))) |
(-.f64 (log.f64 y) (/.f64 (-.f64 z (/.f64 (fma.f64 z (/.f64 z (log.f64 y)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) x)) x)) |
(* x (pow (log y) 2)) |
(*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) |
(* x (pow (log y) 2)) |
(*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) |
(* x (pow (log y) 2)) |
(*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) |
(* x (pow (log y) 2)) |
(*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) |
(/ z (* x (log y))) |
(/.f64 (/.f64 z (log.f64 y)) x) |
(* -1 (/ (+ (* -1 (/ z (log y))) (/ (pow z 2) (* x (pow (log y) 2)))) x)) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 z x) (/.f64 (neg.f64 z) (log.f64 y))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ z (log y))) (* -1 (/ (- (/ (pow z 3) (* x (pow (log y) 3))) (/ (pow z 2) (pow (log y) 2))) x))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (/.f64 z (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 z (log.f64 y)) #s(literal 3 binary64)) x)) x) (/.f64 z (log.f64 y))) x) |
(* -1 (/ (+ (* -1 (/ z (log y))) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x (pow (log y) 4))) (/ (pow z 3) (pow (log y) 3))) x)) (/ (pow z 2) (pow (log y) 2))) x))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (/.f64 z (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (pow.f64 (log.f64 y) #s(literal 4 binary64))) (pow.f64 (/.f64 z (log.f64 y)) #s(literal 3 binary64))) (neg.f64 x))) x) (/.f64 z (log.f64 y))) x) |
| 6 246× | lower-fma.f32 |
| 6 240× | lower-fma.f64 |
| 4 726× | lower-/.f32 |
| 4 720× | lower-/.f64 |
| 4 662× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 163 |
| 0 | 51 | 123 |
| 1 | 219 | 123 |
| 2 | 1542 | 123 |
| 0 | 8865 | 123 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
(log.f64 y) |
(-.f64 (neg.f64 z) y) |
(neg.f64 z) |
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
(neg.f64 y) |
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(*.f64 (log.f64 y) x) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) |
(pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) |
(-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y) |
(/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) |
(*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (log.f64 y) #s(literal 2 binary64)) |
(/.f64 z (fma.f64 (log.f64 y) x z)) |
| Outputs |
|---|
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Compiled 127 368 to 5 365 computations (95.8% saved)
26 alts after pruning (25 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 126 | 22 | 3 148 |
| Fresh | 8 | 3 | 11 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 3 138 | 26 | 3 164 |
| Status | Accuracy | Program |
|---|---|---|
| 61.8% | (fma.f64 (log.f64 y) x #s(approx (- (neg z) y) (neg.f64 z))) | |
| 70.7% | (fma.f64 (log.f64 y) x #s(approx (- (neg z) y) (neg.f64 y))) | |
| 37.6% | (pow.f64 (pow.f64 (fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y)) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| 37.5% | (pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y))) #s(literal 2 binary64)) | |
| 43.8% | (/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) z) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 (/.f64 (fma.f64 x (log.f64 y) z) x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) (neg.f64 z) y) x)) (*.f64 (fma.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) (neg.f64 z) y) (/.f64 (/.f64 (fma.f64 x (log.f64 y) z) x) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) | |
| 17.3% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) | |
| 33.0% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 (+.f64 (/.f64 (/.f64 (+.f64 z y) x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 y))) x))) | |
| 33.6% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)))) | |
| 30.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) z))) | |
| 39.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) | |
| 98.4% | (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) | |
| ▶ | 99.8% | (-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
| ▶ | 70.7% | (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) |
| 68.0% | (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) | |
| 79.2% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #s(literal 1 binary64)) z)) | |
| 33.7% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (log.f64 y) x)) | |
| ▶ | 30.2% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) |
| 61.2% | #s(approx (- (- (* x (log y)) z) y) (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 x (log.f64 y) z)) x) (*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) (neg.f64 z)))) | |
| 61.3% | #s(approx (- (- (* x (log y)) z) y) (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 x (log.f64 y) z)) (*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) (neg.f64 z)))) | |
| 61.3% | #s(approx (- (- (* x (log y)) z) y) (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (fma.f64 x (log.f64 y) z) #s(literal -1 binary64)) x) (*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) (neg.f64 z)))) | |
| 28.6% | #s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) (fma.f64 x (log.f64 y) z))) | |
| ▶ | 28.6% | #s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) |
| 18.8% | #s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) | |
| ▶ | 18.0% | #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z)) |
| ✓ | 39.3% | #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
| 51.3% | #s(approx (- (- (* x (log y)) z) y) #s(approx (- (* (log y) x) z) (*.f64 (fma.f64 (/.f64 (log.f64 y) z) x #s(literal -1 binary64)) z))) |
Compiled 737 to 537 computations (27.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) | |
| cost-diff | 0 | #s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) | |
| cost-diff | 128 | (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z))) | |
| cost-diff | 256 | (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z) | |
| cost-diff | 0 | #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z)) | |
| cost-diff | 7104 | (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (log.f64 y) | |
| cost-diff | 0 | (*.f64 (log.f64 y) x) | |
| cost-diff | 0 | #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) | |
| cost-diff | 0 | (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) | |
| cost-diff | 0 | (log.f64 y) | |
| cost-diff | 0 | (*.f64 (log.f64 y) x) | |
| cost-diff | 0 | (-.f64 (*.f64 (log.f64 y) x) y) | |
| cost-diff | 0 | (-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
| 2 912× | lower-fma.f32 |
| 2 910× | lower-fma.f64 |
| 1 974× | lower-*.f32 |
| 1 966× | lower-*.f64 |
| 1 306× | div-sub |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 231 |
| 0 | 59 | 222 |
| 1 | 113 | 212 |
| 2 | 257 | 209 |
| 3 | 842 | 207 |
| 4 | 2869 | 207 |
| 5 | 4954 | 207 |
| 6 | 5793 | 207 |
| 7 | 6411 | 207 |
| 8 | 7993 | 207 |
| 0 | 8184 | 207 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(*.f64 (log.f64 y) x) |
(log.f64 y) |
y |
x |
z |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) |
(neg.f64 z) |
z |
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) |
#s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(log.f64 y) |
y |
x |
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z)) |
(-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z) |
(*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) |
(pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) |
(sqrt.f64 (log.f64 y)) |
(log.f64 y) |
y |
#s(literal 2 binary64) |
x |
z |
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z))) |
(-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) |
(*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) |
(*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) |
(neg.f64 x) |
x |
(pow.f64 (log.f64 y) #s(literal 2 binary64)) |
(log.f64 y) |
y |
#s(literal 2 binary64) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
(neg.f64 (fma.f64 x (log.f64 y) z)) |
(fma.f64 x (log.f64 y) z) |
| Outputs |
|---|
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(-.f64 (*.f64 x (log.f64 y)) y) |
(*.f64 (log.f64 y) x) |
(*.f64 x (log.f64 y)) |
(log.f64 y) |
y |
x |
z |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) |
(neg.f64 z) |
z |
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) |
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 x (log.f64 y))) y) |
#s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) |
#s(approx (- (* x (log y)) z) (*.f64 x (log.f64 y))) |
(*.f64 (log.f64 y) x) |
(*.f64 x (log.f64 y)) |
(log.f64 y) |
y |
x |
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (fma.f64 x (log.f64 y) (neg.f64 z))) |
(-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z) |
(fma.f64 x (log.f64 y) (neg.f64 z)) |
(*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) |
(*.f64 x (log.f64 y)) |
(pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) |
(log.f64 y) |
(sqrt.f64 (log.f64 y)) |
(log.f64 y) |
y |
#s(literal 2 binary64) |
x |
z |
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) x (*.f64 (neg.f64 z) z)) (fma.f64 x (log.f64 y) z))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) x (*.f64 (neg.f64 z) z)) (fma.f64 x (log.f64 y) z)) |
(-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) |
(*.f64 (fma.f64 (neg.f64 x) (log.f64 y) z) (fma.f64 x (log.f64 y) z)) |
(*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) |
(*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (neg.f64 x)) |
(neg.f64 x) |
x |
(pow.f64 (log.f64 y) #s(literal 2 binary64)) |
(log.f64 y) |
y |
#s(literal 2 binary64) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
(neg.f64 (fma.f64 x (log.f64 y) z)) |
(fma.f64 x (log.f64 y) z) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.25 | (pow.f64 (log.f64 y) #s(literal 2 binary64)) | |
| accuracy | 1.7460875574906176 | (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) | |
| accuracy | 13.874882220986335 | (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z))) | |
| accuracy | 19.45532801337459 | #s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) | |
| accuracy | 0.05078125 | (sqrt.f64 (log.f64 y)) | |
| accuracy | 0.1484375 | (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) | |
| accuracy | 0.24609375 | (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) | |
| accuracy | 19.45532801337459 | #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z)) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.00390625 | (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) | |
| accuracy | 0.1484375 | (*.f64 (log.f64 y) x) | |
| accuracy | 15.021879310400783 | #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 24.48364418650452 | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) | |
| accuracy | 0 | (-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.00390625 | (-.f64 (*.f64 (log.f64 y) x) y) | |
| accuracy | 0.1484375 | (*.f64 (log.f64 y) x) |
| 62.0ms | 132× | 0 | invalid |
| 41.0ms | 124× | 0 | valid |
Compiled 191 to 33 computations (82.7% saved)
ival-mult: 39.0ms (47.3% of total)ival-sub: 21.0ms (25.5% of total)ival-log: 4.0ms (4.9% of total)ival-pow2: 4.0ms (4.9% of total)ival-pow: 4.0ms (4.9% of total)ival-div: 3.0ms (3.6% of total)ival-neg: 3.0ms (3.6% of total)ival-sqrt: 2.0ms (2.4% of total)ival-add: 1.0ms (1.2% 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 (-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) (patch (-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (log.f64 y) x) y) (patch (-.f64 (*.f64 (log.f64 y) x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (log.f64 y) x) (patch (*.f64 (log.f64 y) x) #<representation binary64>) () ()) |
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) (patch #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) (patch (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) (patch #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) (patch (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z)) (patch #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z) (patch (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (patch (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z))) (patch (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) (patch #s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (patch (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (log.f64 y)) (patch (sqrt.f64 (log.f64 y)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (log.f64 y) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 y) #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (* x (log y)) y) (taylor 0 z) (#s(alt (-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) (patch (-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) (patch (-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) (patch (-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) (patch (-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (log y)) y) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) (patch #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) (patch #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) (patch #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) (patch #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (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 y)) y) (taylor 0 z) (#s(alt (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) (patch (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) (patch (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) (patch (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) (patch (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor 0 z) (#s(alt #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) (patch #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) (patch #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) (patch #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) (patch #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (log y)) y) (taylor 0 z) (#s(alt #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z)) (patch #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z)) (patch #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z)) (patch #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z)) (patch #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z) (patch (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z) (patch (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 (log y)) (/ z x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z))) (patch (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor -inf x) (#s(alt #s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) (patch #s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) (taylor -inf x) (#s(alt #s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) (patch #s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) (taylor -inf x) (#s(alt #s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) (patch #s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) (taylor -inf x) (#s(alt #s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) (patch #s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow (log y) 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (patch (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow (log y) 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (patch (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow (log y) 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (patch (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow (log y) 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (patch (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | y | @ | 0 | ((- (- (* (log y) x) y) z) (- (* (log y) x) y) (* (log y) x) (log y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg z) (- (- (* x (log y)) z) y) (- (* x (log y)) z) (pow (sqrt (log y)) 2) (- (- (* x (log y)) z) y) (- (* (pow (sqrt (log y)) 2) x) z) (* (pow (sqrt (log y)) 2) x) (- (* (* (neg x) (pow (log y) 2)) x) (* (neg z) z)) (/ (- (* (* (neg x) (pow (log y) 2)) x) (* (neg z) z)) (neg (+ (* x (log y)) z))) (- (- (* x (log y)) z) y) (* (* (neg x) (pow (log y) 2)) x) (sqrt (log y)) (pow (log y) 2)) |
| 15.0ms | y | @ | -inf | ((- (- (* (log y) x) y) z) (- (* (log y) x) y) (* (log y) x) (log y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg z) (- (- (* x (log y)) z) y) (- (* x (log y)) z) (pow (sqrt (log y)) 2) (- (- (* x (log y)) z) y) (- (* (pow (sqrt (log y)) 2) x) z) (* (pow (sqrt (log y)) 2) x) (- (* (* (neg x) (pow (log y) 2)) x) (* (neg z) z)) (/ (- (* (* (neg x) (pow (log y) 2)) x) (* (neg z) z)) (neg (+ (* x (log y)) z))) (- (- (* x (log y)) z) y) (* (* (neg x) (pow (log y) 2)) x) (sqrt (log y)) (pow (log y) 2)) |
| 13.0ms | x | @ | 0 | ((- (- (* (log y) x) y) z) (- (* (log y) x) y) (* (log y) x) (log y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg z) (- (- (* x (log y)) z) y) (- (* x (log y)) z) (pow (sqrt (log y)) 2) (- (- (* x (log y)) z) y) (- (* (pow (sqrt (log y)) 2) x) z) (* (pow (sqrt (log y)) 2) x) (- (* (* (neg x) (pow (log y) 2)) x) (* (neg z) z)) (/ (- (* (* (neg x) (pow (log y) 2)) x) (* (neg z) z)) (neg (+ (* x (log y)) z))) (- (- (* x (log y)) z) y) (* (* (neg x) (pow (log y) 2)) x) (sqrt (log y)) (pow (log y) 2)) |
| 9.0ms | y | @ | inf | ((- (- (* (log y) x) y) z) (- (* (log y) x) y) (* (log y) x) (log y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg z) (- (- (* x (log y)) z) y) (- (* x (log y)) z) (pow (sqrt (log y)) 2) (- (- (* x (log y)) z) y) (- (* (pow (sqrt (log y)) 2) x) z) (* (pow (sqrt (log y)) 2) x) (- (* (* (neg x) (pow (log y) 2)) x) (* (neg z) z)) (/ (- (* (* (neg x) (pow (log y) 2)) x) (* (neg z) z)) (neg (+ (* x (log y)) z))) (- (- (* x (log y)) z) y) (* (* (neg x) (pow (log y) 2)) x) (sqrt (log y)) (pow (log y) 2)) |
| 9.0ms | x | @ | -inf | ((- (- (* (log y) x) y) z) (- (* (log y) x) y) (* (log y) x) (log y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg z) (- (- (* x (log y)) z) y) (- (* x (log y)) z) (pow (sqrt (log y)) 2) (- (- (* x (log y)) z) y) (- (* (pow (sqrt (log y)) 2) x) z) (* (pow (sqrt (log y)) 2) x) (- (* (* (neg x) (pow (log y) 2)) x) (* (neg z) z)) (/ (- (* (* (neg x) (pow (log y) 2)) x) (* (neg z) z)) (neg (+ (* x (log y)) z))) (- (- (* x (log y)) z) y) (* (* (neg x) (pow (log y) 2)) x) (sqrt (log y)) (pow (log y) 2)) |
| 1× | egg-herbie |
| 7 370× | lower-fma.f64 |
| 7 370× | lower-fma.f32 |
| 4 408× | lower-*.f64 |
| 4 408× | lower-*.f32 |
| 1 696× | lower-neg.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 3804 |
| 1 | 409 | 3634 |
| 2 | 1209 | 3596 |
| 3 | 4604 | 3524 |
| 0 | 8303 | 3494 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* x (log y)) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (* x (log y)) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(- (* x (log y)) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(* x (log y)) |
(+ (* -1 z) (* x (log y))) |
(+ (* -1 z) (* x (log y))) |
(+ (* -1 z) (* x (log y))) |
(- (* x (log y)) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(* x (log y)) |
(+ (* -1 z) (* x (log y))) |
(+ (* -1 z) (* x (log y))) |
(+ (* -1 z) (* x (log y))) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
(+ (* -1 (* (pow x 2) (pow (log y) 2))) (pow z 2)) |
(+ (* -1 (* (pow x 2) (pow (log y) 2))) (pow z 2)) |
(+ (* -1 (* (pow x 2) (pow (log y) 2))) (pow z 2)) |
(* x (log y)) |
(+ (* -1 z) (* x (log y))) |
(+ (* -1 z) (* x (log y))) |
(+ (* -1 z) (* x (log y))) |
(- (* x (log y)) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(* -1 z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* -1 z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* -1 z) |
(* z (- (/ (* x (log y)) z) 1)) |
(* z (- (/ (* x (log y)) z) 1)) |
(* z (- (/ (* x (log y)) z) 1)) |
(* -1 z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* -1 z) |
(* z (- (/ (* x (log y)) z) 1)) |
(* z (- (/ (* x (log y)) z) 1)) |
(* z (- (/ (* x (log y)) z) 1)) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))))) |
(* -1 z) |
(* z (- (/ (* x (log y)) z) 1)) |
(* z (- (/ (* x (log y)) z) 1)) |
(* z (- (/ (* x (log y)) z) 1)) |
(* -1 z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (* x (log y)) z))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(- (* x (log y)) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(* x (log y)) |
(+ (* -1 y) (* x (log y))) |
(+ (* -1 y) (* x (log y))) |
(+ (* -1 y) (* x (log y))) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(log y) |
(log y) |
(log y) |
(log y) |
(- (* x (log y)) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(- (* x (log y)) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(- (* x (log y)) z) |
(- (* x (log y)) z) |
(- (* x (log y)) z) |
(- (* x (log y)) z) |
(log y) |
(log y) |
(log y) |
(log y) |
(- (* x (log y)) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(- (* x (log y)) z) |
(- (* x (log y)) z) |
(- (* x (log y)) z) |
(- (* x (log y)) z) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(- (* -1 (* (pow x 2) (pow (log y) 2))) (* -1 (pow z 2))) |
(- (* -1 (* (pow x 2) (pow (log y) 2))) (* -1 (pow z 2))) |
(- (* -1 (* (pow x 2) (pow (log y) 2))) (* -1 (pow z 2))) |
(- (* -1 (* (pow x 2) (pow (log y) 2))) (* -1 (pow z 2))) |
(* -1 (/ (- (* -1 (* (pow x 2) (pow (log y) 2))) (* -1 (pow z 2))) (+ z (* x (log y))))) |
(* -1 (/ (- (* -1 (* (pow x 2) (pow (log y) 2))) (* -1 (pow z 2))) (+ z (* x (log y))))) |
(* -1 (/ (- (* -1 (* (pow x 2) (pow (log y) 2))) (* -1 (pow z 2))) (+ z (* x (log y))))) |
(* -1 (/ (- (* -1 (* (pow x 2) (pow (log y) 2))) (* -1 (pow z 2))) (+ z (* x (log y))))) |
(- (* x (log y)) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
(sqrt (log y)) |
(sqrt (log y)) |
(sqrt (log y)) |
(sqrt (log y)) |
(pow (log y) 2) |
(pow (log y) 2) |
(pow (log y) 2) |
(pow (log y) 2) |
(* -1 y) |
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y)))) |
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y)))) |
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y)))) |
(* -1 y) |
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) 1)) |
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) 1)) |
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) 1)) |
(* -1 (* x (log (/ 1 y)))) |
(* -1 (* x (log (/ 1 y)))) |
(* -1 (* x (log (/ 1 y)))) |
(* -1 (* x (log (/ 1 y)))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 y) |
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y)))) |
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y)))) |
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y)))) |
(* -1 y) |
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y)))) |
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y)))) |
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y)))) |
(- (* -1 (* x (log (/ 1 y)))) z) |
(- (* -1 (* x (log (/ 1 y)))) z) |
(- (* -1 (* x (log (/ 1 y)))) z) |
(- (* -1 (* x (log (/ 1 y)))) z) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 y) |
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y)))) |
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y)))) |
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y)))) |
(- (* -1 (* x (log (/ 1 y)))) z) |
(- (* -1 (* x (log (/ 1 y)))) z) |
(- (* -1 (* x (log (/ 1 y)))) z) |
(- (* -1 (* x (log (/ 1 y)))) z) |
(* -1 (* x (log (/ 1 y)))) |
(* -1 (* x (log (/ 1 y)))) |
(* -1 (* x (log (/ 1 y)))) |
(* -1 (* x (log (/ 1 y)))) |
(- (* -1 (* (pow x 2) (pow (log (/ 1 y)) 2))) (* -1 (pow z 2))) |
(- (* -1 (* (pow x 2) (pow (log (/ 1 y)) 2))) (* -1 (pow z 2))) |
(- (* -1 (* (pow x 2) (pow (log (/ 1 y)) 2))) (* -1 (pow z 2))) |
(- (* -1 (* (pow x 2) (pow (log (/ 1 y)) 2))) (* -1 (pow z 2))) |
(* -1 (/ (- (* -1 (* (pow x 2) (pow (log (/ 1 y)) 2))) (* -1 (pow z 2))) (+ z (* -1 (* x (log (/ 1 y))))))) |
(* -1 (/ (- (* -1 (* (pow x 2) (pow (log (/ 1 y)) 2))) (* -1 (pow z 2))) (+ z (* -1 (* x (log (/ 1 y))))))) |
(* -1 (/ (- (* -1 (* (pow x 2) (pow (log (/ 1 y)) 2))) (* -1 (pow z 2))) (+ z (* -1 (* x (log (/ 1 y))))))) |
(* -1 (/ (- (* -1 (* (pow x 2) (pow (log (/ 1 y)) 2))) (* -1 (pow z 2))) (+ z (* -1 (* x (log (/ 1 y))))))) |
(* -1 y) |
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y)))) |
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y)))) |
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y)))) |
(* -1 (* (pow x 2) (pow (log (/ 1 y)) 2))) |
(* -1 (* (pow x 2) (pow (log (/ 1 y)) 2))) |
(* -1 (* (pow x 2) (pow (log (/ 1 y)) 2))) |
(* -1 (* (pow x 2) (pow (log (/ 1 y)) 2))) |
(* (sqrt (log (/ 1 y))) (sqrt -1)) |
(* (sqrt (log (/ 1 y))) (sqrt -1)) |
(* (sqrt (log (/ 1 y))) (sqrt -1)) |
(* (sqrt (log (/ 1 y))) (sqrt -1)) |
(pow (log (/ 1 y)) 2) |
(pow (log (/ 1 y)) 2) |
(pow (log (/ 1 y)) 2) |
(pow (log (/ 1 y)) 2) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) y))))) |
(* x (+ (log -1) (* -1 (log (/ -1 y))))) |
(* x (+ (log -1) (* -1 (log (/ -1 y))))) |
(* x (+ (log -1) (* -1 (log (/ -1 y))))) |
(* x (+ (log -1) (* -1 (log (/ -1 y))))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) |
(- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) |
(- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) |
(- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) |
(- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) |
(- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) |
(- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) |
(- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) |
(- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) |
(* x (+ (log -1) (* -1 (log (/ -1 y))))) |
(* x (+ (log -1) (* -1 (log (/ -1 y))))) |
(* x (+ (log -1) (* -1 (log (/ -1 y))))) |
(* x (+ (log -1) (* -1 (log (/ -1 y))))) |
(- (* -1 (* (pow x 2) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))) (* -1 (pow z 2))) |
(- (* -1 (* (pow x 2) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))) (* -1 (pow z 2))) |
(- (* -1 (* (pow x 2) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))) (* -1 (pow z 2))) |
(- (* -1 (* (pow x 2) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))) (* -1 (pow z 2))) |
(* -1 (/ (- (* -1 (* (pow x 2) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))) (* -1 (pow z 2))) (+ z (* x (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(* -1 (/ (- (* -1 (* (pow x 2) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))) (* -1 (pow z 2))) (+ z (* x (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(* -1 (/ (- (* -1 (* (pow x 2) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))) (* -1 (pow z 2))) (+ z (* x (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(* -1 (/ (- (* -1 (* (pow x 2) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))) (* -1 (pow z 2))) (+ z (* x (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) |
(* -1 (* (pow x 2) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))) |
(* -1 (* (pow x 2) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))) |
(* -1 (* (pow x 2) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))) |
(* -1 (* (pow x 2) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))) |
(sqrt (+ (log -1) (* -1 (log (/ -1 y))))) |
(sqrt (+ (log -1) (* -1 (log (/ -1 y))))) |
(sqrt (+ (log -1) (* -1 (log (/ -1 y))))) |
(sqrt (+ (log -1) (* -1 (log (/ -1 y))))) |
(pow (+ (log -1) (* -1 (log (/ -1 y)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 y)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 y)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 y)))) 2) |
(* -1 (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(* -1 y) |
(- (* x (log y)) y) |
(- (* x (log y)) y) |
(- (* x (log y)) y) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* -1 (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(* -1 (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(* -1 z) |
(- (* x (log y)) z) |
(- (* x (log y)) z) |
(- (* x (log y)) z) |
(* -1 (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(* -1 z) |
(- (* x (log y)) z) |
(- (* x (log y)) z) |
(- (* x (log y)) z) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(pow z 2) |
(- (* -1 (* (pow x 2) (pow (log y) 2))) (* -1 (pow z 2))) |
(- (* -1 (* (pow x 2) (pow (log y) 2))) (* -1 (pow z 2))) |
(- (* -1 (* (pow x 2) (pow (log y) 2))) (* -1 (pow z 2))) |
(* -1 z) |
(+ (* -1 z) (* x (log y))) |
(+ (* -1 z) (* x (log y))) |
(+ (* -1 z) (* x (log y))) |
(* -1 (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ y x)))) |
(* x (+ (log y) (* -1 (/ y x)))) |
(* x (+ (log y) (* -1 (/ y x)))) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ z x)))) |
(* x (+ (log y) (* -1 (/ z x)))) |
(* x (+ (log y) (* -1 (/ z x)))) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ z x)))) |
(* x (+ (log y) (* -1 (/ z x)))) |
(* x (+ (log y) (* -1 (/ z x)))) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
(* (pow x 2) (+ (* -1 (pow (log y) 2)) (/ (pow z 2) (pow x 2)))) |
(* (pow x 2) (+ (* -1 (pow (log y) 2)) (/ (pow z 2) (pow x 2)))) |
(* (pow x 2) (+ (* -1 (pow (log y) 2)) (/ (pow z 2) (pow x 2)))) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ z x)))) |
(* x (+ (log y) (* -1 (/ z x)))) |
(* x (+ (log y) (* -1 (/ z x)))) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (/ y x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ y x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ y x)))) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
(* (pow x 2) (+ (* -1 (pow (log y) 2)) (/ (pow z 2) (pow x 2)))) |
(* (pow x 2) (+ (* -1 (pow (log y) 2)) (/ (pow z 2) (pow x 2)))) |
(* (pow x 2) (+ (* -1 (pow (log y) 2)) (/ (pow z 2) (pow x 2)))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
| Outputs |
|---|
(- (* x (log y)) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(- (+ (* -1 z) (* x (log y))) y) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(- (+ (* -1 z) (* x (log y))) y) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(- (+ (* -1 z) (* x (log y))) y) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(- (* x (log y)) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(- (+ (* -1 z) (* x (log y))) y) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(- (+ (* -1 z) (* x (log y))) y) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(- (+ (* -1 z) (* x (log y))) y) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(- (* x (log y)) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(- (+ (* -1 z) (* x (log y))) y) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(- (+ (* -1 z) (* x (log y))) y) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(- (+ (* -1 z) (* x (log y))) y) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(+ (* -1 z) (* x (log y))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(+ (* -1 z) (* x (log y))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(+ (* -1 z) (* x (log y))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(- (* x (log y)) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(- (+ (* -1 z) (* x (log y))) y) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(- (+ (* -1 z) (* x (log y))) y) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(- (+ (* -1 z) (* x (log y))) y) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(+ (* -1 z) (* x (log y))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(+ (* -1 z) (* x (log y))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(+ (* -1 z) (* x (log y))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
(*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (neg.f64 x)) |
(+ (* -1 (* (pow x 2) (pow (log y) 2))) (pow z 2)) |
(*.f64 (fma.f64 (neg.f64 x) (log.f64 y) z) (fma.f64 (log.f64 y) x z)) |
(+ (* -1 (* (pow x 2) (pow (log y) 2))) (pow z 2)) |
(*.f64 (fma.f64 (neg.f64 x) (log.f64 y) z) (fma.f64 (log.f64 y) x z)) |
(+ (* -1 (* (pow x 2) (pow (log y) 2))) (pow z 2)) |
(*.f64 (fma.f64 (neg.f64 x) (log.f64 y) z) (fma.f64 (log.f64 y) x z)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(+ (* -1 z) (* x (log y))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(+ (* -1 z) (* x (log y))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(+ (* -1 z) (* x (log y))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(- (* x (log y)) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(- (+ (* -1 z) (* x (log y))) y) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(- (+ (* -1 z) (* x (log y))) y) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(- (+ (* -1 z) (* x (log y))) y) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ (* x (log y)) z) 1)) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(* z (- (/ (* x (log y)) z) 1)) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(* z (- (/ (* x (log y)) z) 1)) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ (* x (log y)) z) 1)) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(* z (- (/ (* x (log y)) z) 1)) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(* z (- (/ (* x (log y)) z) 1)) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))))) |
(*.f64 (fma.f64 (neg.f64 x) (log.f64 y) z) (fma.f64 (log.f64 y) x z)) |
(* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))))) |
(*.f64 (fma.f64 (neg.f64 x) (log.f64 y) z) (fma.f64 (log.f64 y) x z)) |
(* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))))) |
(*.f64 (fma.f64 (neg.f64 x) (log.f64 y) z) (fma.f64 (log.f64 y) x z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ (* x (log y)) z) 1)) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(* z (- (/ (* x (log y)) z) 1)) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(* z (- (/ (* x (log y)) z) 1)) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
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(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (+ (log y) (* -1 (/ z x)))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(* x (+ (log y) (* -1 (/ z x)))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(* x (+ (log y) (* -1 (/ z x)))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (+ (log y) (* -1 (/ z x)))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(* x (+ (log y) (* -1 (/ z x)))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(* x (+ (log y) (* -1 (/ z x)))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
(*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (neg.f64 x)) |
(* (pow x 2) (+ (* -1 (pow (log y) 2)) (/ (pow z 2) (pow x 2)))) |
(*.f64 (fma.f64 (neg.f64 x) (log.f64 y) z) (fma.f64 (log.f64 y) x z)) |
(* (pow x 2) (+ (* -1 (pow (log y) 2)) (/ (pow z 2) (pow x 2)))) |
(*.f64 (fma.f64 (neg.f64 x) (log.f64 y) z) (fma.f64 (log.f64 y) x z)) |
(* (pow x 2) (+ (* -1 (pow (log y) 2)) (/ (pow z 2) (pow x 2)))) |
(*.f64 (fma.f64 (neg.f64 x) (log.f64 y) z) (fma.f64 (log.f64 y) x z)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (+ (log y) (* -1 (/ z x)))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(* x (+ (log y) (* -1 (/ z x)))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(* x (+ (log y) (* -1 (/ z x)))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
(*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (neg.f64 x)) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
(*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (neg.f64 x)) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
(*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (neg.f64 x)) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
(*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (neg.f64 x)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (/ y x)))) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(* -1 (* x (+ (* -1 (log y)) (/ y x)))) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(* -1 (* x (+ (* -1 (log y)) (/ y x)))) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
(*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (neg.f64 x)) |
(* (pow x 2) (+ (* -1 (pow (log y) 2)) (/ (pow z 2) (pow x 2)))) |
(*.f64 (fma.f64 (neg.f64 x) (log.f64 y) z) (fma.f64 (log.f64 y) x z)) |
(* (pow x 2) (+ (* -1 (pow (log y) 2)) (/ (pow z 2) (pow x 2)))) |
(*.f64 (fma.f64 (neg.f64 x) (log.f64 y) z) (fma.f64 (log.f64 y) x z)) |
(* (pow x 2) (+ (* -1 (pow (log y) 2)) (/ (pow z 2) (pow x 2)))) |
(*.f64 (fma.f64 (neg.f64 x) (log.f64 y) z) (fma.f64 (log.f64 y) x z)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 y) z)) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
(*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (neg.f64 x)) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
(*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (neg.f64 x)) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
(*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (neg.f64 x)) |
(* -1 (* (pow x 2) (pow (log y) 2))) |
(*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (neg.f64 x)) |
| 5 934× | lower-fma.f32 |
| 5 932× | lower-fma.f64 |
| 4 424× | lower-/.f32 |
| 4 422× | lower-/.f64 |
| 4 016× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 181 |
| 0 | 59 | 144 |
| 1 | 254 | 130 |
| 2 | 1653 | 130 |
| 0 | 8355 | 129 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(*.f64 (log.f64 y) x) |
(log.f64 y) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) |
(neg.f64 z) |
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) |
#s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) |
(pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) |
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z)) |
(-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z) |
(*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) |
(-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z))) |
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) |
(*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) |
(sqrt.f64 (log.f64 y)) |
(pow.f64 (log.f64 y) #s(literal 2 binary64)) |
| Outputs |
|---|
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Compiled 33 175 to 2 496 computations (92.5% saved)
28 alts after pruning (23 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 418 | 8 | 1 426 |
| Fresh | 5 | 15 | 20 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 424 | 28 | 1 452 |
| Status | Accuracy | Program |
|---|---|---|
| 61.8% | (fma.f64 (log.f64 y) x #s(approx (- (neg z) y) (neg.f64 z))) | |
| 70.7% | (fma.f64 (log.f64 y) x #s(approx (- (neg z) y) (neg.f64 y))) | |
| 37.5% | (pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y))) #s(literal 2 binary64)) | |
| ▶ | 55.2% | (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)))) |
| 17.3% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) | |
| 33.0% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 (+.f64 (/.f64 (/.f64 (+.f64 z y) x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 y))) x))) | |
| 33.6% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)))) | |
| 30.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) z))) | |
| 39.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) | |
| ▶ | 98.4% | (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) |
| ✓ | 99.8% | (-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
| ▶ | 91.2% | (-.f64 #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)) z) |
| ▶ | 68.0% | (-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) |
| 38.7% | (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))) y) | |
| ✓ | 70.7% | (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) |
| 13.5% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) | |
| ▶ | 13.5% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)))) |
| 79.2% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #s(literal 1 binary64)) z)) | |
| 33.7% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (log.f64 y) x)) | |
| ✓ | 30.2% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) |
| 61.3% | #s(approx (- (- (* x (log y)) z) y) (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 x (log.f64 y) z)) (*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) (neg.f64 z)))) | |
| 61.3% | #s(approx (- (- (* x (log y)) z) y) (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (fma.f64 x (log.f64 y) z) #s(literal -1 binary64)) x) (*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) (neg.f64 z)))) | |
| 28.6% | #s(approx (- (- (* x (log y)) z) y) (/.f64 (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x) (*.f64 z z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) | |
| 18.8% | #s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) | |
| 18.0% | #s(approx (- (- (* x (log y)) z) y) (/.f64 #s(approx (- (* (* (neg x) (pow (log y) 2)) x) (* (neg z) z)) (*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (neg.f64 x))) (neg.f64 (fma.f64 x (log.f64 y) z)))) | |
| ✓ | 18.0% | #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z)) |
| ✓ | 39.3% | #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
| 51.3% | #s(approx (- (- (* x (log y)) z) y) #s(approx (- (* (log y) x) z) (*.f64 (fma.f64 (/.f64 (log.f64 y) z) x #s(literal -1 binary64)) z))) |
Compiled 651 to 528 computations (18.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 320 | (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y))) | |
| cost-diff | 320 | (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)) | |
| cost-diff | 448 | (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) | |
| cost-diff | 8000 | (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)))) | |
| cost-diff | 0 | (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)) | |
| cost-diff | 0 | (-.f64 #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)) z) | |
| cost-diff | 896 | (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)))) | |
| cost-diff | 192 | (+.f64 #s(literal 0 binary64) z) | |
| cost-diff | 448 | (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)) | |
| cost-diff | 1280 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- (* (log y) x) y) (neg.f64 y)) | |
| cost-diff | 0 | (-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) | |
| cost-diff | 0 | (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) | |
| cost-diff | 0 | (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) | |
| cost-diff | 128 | (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) |
| 4 544× | lower-fma.f32 |
| 4 536× | lower-fma.f64 |
| 2 958× | lower-*.f32 |
| 2 944× | lower-*.f64 |
| 1 362× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 356 |
| 0 | 78 | 339 |
| 1 | 149 | 327 |
| 2 | 370 | 306 |
| 3 | 935 | 302 |
| 4 | 2238 | 290 |
| 5 | 4762 | 287 |
| 6 | 7951 | 287 |
| 0 | 8086 | 284 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) |
x |
(/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) |
(*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (log.f64 y) #s(literal 2 binary64)) |
(log.f64 y) |
y |
#s(literal 2 binary64) |
(fma.f64 (log.f64 y) x z) |
z |
(neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)))) |
(*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))) |
#s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) |
#s(approx (- (* (log y) x) y) (neg.f64 y)) |
(neg.f64 y) |
y |
z |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))) |
#s(literal 1 binary64) |
(/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)) |
(+.f64 #s(literal 0 binary64) z) |
#s(literal 0 binary64) |
z |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
(-.f64 #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)) z) |
#s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)) |
(*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y) |
(fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) |
(/.f64 x y) |
x |
y |
(log.f64 y) |
#s(literal -1 binary64) |
z |
(/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)))) |
(fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) |
#s(literal 1 binary64) |
(-.f64 (*.f64 x (log.f64 y)) y) |
(*.f64 x (log.f64 y)) |
x |
(log.f64 y) |
y |
(*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)) |
(+.f64 #s(literal 0 binary64) z) |
#s(literal 0 binary64) |
(*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y))) |
| Outputs |
|---|
(-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) |
(fma.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (log.f64 y) x z)) (*.f64 x x) (neg.f64 (fma.f64 #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)) z y))) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (/.f64 x (fma.f64 (log.f64 y) x z)) x) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)))) |
x |
(/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) |
(*.f64 (/.f64 x (fma.f64 (log.f64 y) x z)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (log.f64 y) #s(literal 2 binary64)) |
(log.f64 y) |
y |
#s(literal 2 binary64) |
(fma.f64 (log.f64 y) x z) |
z |
(neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 z) #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))) |
(*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)) z) |
#s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) |
#s(approx (- (* (log y) x) y) (neg.f64 y)) |
(neg.f64 y) |
y |
z |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))) |
(neg.f64 z) |
#s(literal 1 binary64) |
(/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)) |
(/.f64 #s(literal -1 binary64) z) |
(+.f64 #s(literal 0 binary64) z) |
z |
#s(literal 0 binary64) |
z |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
(-.f64 #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)) z) |
(-.f64 #s(approx (- (* (log y) x) y) (fma.f64 (log.f64 y) x (neg.f64 y))) z) |
#s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)) |
#s(approx (- (* (log y) x) y) (fma.f64 (log.f64 y) x (neg.f64 y))) |
(*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) |
(/.f64 x y) |
x |
y |
(log.f64 y) |
#s(literal -1 binary64) |
z |
(/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 x) (log.f64 y) y) (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) z) |
(fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) |
(fma.f64 (/.f64 z (fma.f64 (neg.f64 x) (log.f64 y) y)) z z) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) x (neg.f64 y))) |
#s(literal 1 binary64) |
(-.f64 (*.f64 x (log.f64 y)) y) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(*.f64 x (log.f64 y)) |
(*.f64 (log.f64 y) x) |
x |
(log.f64 y) |
y |
(*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)) |
z |
(+.f64 #s(literal 0 binary64) z) |
z |
#s(literal 0 binary64) |
(*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y))) |
(/.f64 z (fma.f64 (log.f64 y) x (neg.f64 y))) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.28086960078147516 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) | |
| accuracy | 0.296875 | (*.f64 x (log.f64 y)) | |
| accuracy | 6.91880032055842 | (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) | |
| accuracy | 21.600813868754432 | (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)))) | |
| accuracy | 0 | #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)) | |
| accuracy | 0.00390625 | (-.f64 #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)) z) | |
| accuracy | 0.11328125 | (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) | |
| accuracy | 5.6715966527579 | (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.1640625 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))) | |
| accuracy | 32.752505667635546 | (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)) | |
| accuracy | 44.65031185310565 | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)))) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.00390625 | (-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) | |
| accuracy | 28.301963996495815 | #s(approx (- (* (log y) x) y) (neg.f64 y)) | |
| accuracy | 0.21875 | (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) | |
| accuracy | 0.529628759768442 | (pow.f64 (log.f64 y) #s(literal 2 binary64)) | |
| accuracy | 0.5296426209984045 | (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) | |
| accuracy | 33.87087214717774 | #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)) |
| 234.0ms | 256× | 0 | valid |
Compiled 326 to 45 computations (86.2% saved)
ival-sub: 92.0ms (54.9% of total)ival-mult: 36.0ms (21.5% of total)ival-div: 12.0ms (7.2% of total)ival-log: 10.0ms (6% of total)ival-add: 5.0ms (3% of total)ival-neg: 4.0ms (2.4% of total)ival-pow: 4.0ms (2.4% of total)ival-pow2: 3.0ms (1.8% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) (patch (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) (patch (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (patch (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) (patch (-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* (log y) x) y) (neg.f64 y)) (patch #s(approx (- (* (log y) x) y) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)) (patch (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)))) (patch #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)) z) (patch (-.f64 #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)) (patch #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)))) (patch (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)) (patch (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y))) (patch (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (log.f64 y) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 y) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (*.f64 x (log.f64 y)) (patch (*.f64 x (log.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (* x (log y)) y) (taylor 0 z) (#s(alt (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) (patch (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) (patch (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) (patch (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) (patch (-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) (patch (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) (patch (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) (patch (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) (patch (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (log y) (taylor 0 z) (#s(alt (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (patch (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log y) (* -1 (/ z x))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (patch (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log y) (* z (- (/ z (* (pow x 2) (log y))) (/ 1 x)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (patch (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log y) (* z (- (* z (+ (* -1 (/ z (* (pow x 3) (pow (log y) 2)))) (/ 1 (* (pow x 2) (log y))))) (/ 1 x)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (patch (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (log y)) y) (taylor 0 z) (#s(alt (-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) (patch (-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) (patch (-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | y | @ | inf | ((- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (/ (* (pow (log y) 2) x) (+ (* (log y) x) z)) (* (pow (log y) 2) x) (- (- (* (log y) x) y) z) (- (* (log y) x) y) (neg y) (/ 1 (/ (+ 0 z) (* (neg z) z))) (/ (+ 0 z) (* (neg z) z)) (+ 0 z) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (* (+ (* (/ x y) (log y)) -1) y) (- (- (* (log y) x) y) z) (- (* (log y) x) y) (+ (* (/ x y) (log y)) -1) (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) 1) (* (+ 0 z) (/ 1 (- (* x (log y)) y))) (/ z (+ (* (log y) x) z)) (pow (log y) 2) (neg z) (* x (log y)) (/ 1 (- (* x (log y)) y))) |
| 14.0ms | x | @ | 0 | ((- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (/ (* (pow (log y) 2) x) (+ (* (log y) x) z)) (* (pow (log y) 2) x) (- (- (* (log y) x) y) z) (- (* (log y) x) y) (neg y) (/ 1 (/ (+ 0 z) (* (neg z) z))) (/ (+ 0 z) (* (neg z) z)) (+ 0 z) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (* (+ (* (/ x y) (log y)) -1) y) (- (- (* (log y) x) y) z) (- (* (log y) x) y) (+ (* (/ x y) (log y)) -1) (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) 1) (* (+ 0 z) (/ 1 (- (* x (log y)) y))) (/ z (+ (* (log y) x) z)) (pow (log y) 2) (neg z) (* x (log y)) (/ 1 (- (* x (log y)) y))) |
| 14.0ms | z | @ | inf | ((- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (/ (* (pow (log y) 2) x) (+ (* (log y) x) z)) (* (pow (log y) 2) x) (- (- (* (log y) x) y) z) (- (* (log y) x) y) (neg y) (/ 1 (/ (+ 0 z) (* (neg z) z))) (/ (+ 0 z) (* (neg z) z)) (+ 0 z) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (* (+ (* (/ x y) (log y)) -1) y) (- (- (* (log y) x) y) z) (- (* (log y) x) y) (+ (* (/ x y) (log y)) -1) (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) 1) (* (+ 0 z) (/ 1 (- (* x (log y)) y))) (/ z (+ (* (log y) x) z)) (pow (log y) 2) (neg z) (* x (log y)) (/ 1 (- (* x (log y)) y))) |
| 13.0ms | z | @ | -inf | ((- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (/ (* (pow (log y) 2) x) (+ (* (log y) x) z)) (* (pow (log y) 2) x) (- (- (* (log y) x) y) z) (- (* (log y) x) y) (neg y) (/ 1 (/ (+ 0 z) (* (neg z) z))) (/ (+ 0 z) (* (neg z) z)) (+ 0 z) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (* (+ (* (/ x y) (log y)) -1) y) (- (- (* (log y) x) y) z) (- (* (log y) x) y) (+ (* (/ x y) (log y)) -1) (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) 1) (* (+ 0 z) (/ 1 (- (* x (log y)) y))) (/ z (+ (* (log y) x) z)) (pow (log y) 2) (neg z) (* x (log y)) (/ 1 (- (* x (log y)) y))) |
| 13.0ms | y | @ | -inf | ((- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (/ (* (pow (log y) 2) x) (+ (* (log y) x) z)) (* (pow (log y) 2) x) (- (- (* (log y) x) y) z) (- (* (log y) x) y) (neg y) (/ 1 (/ (+ 0 z) (* (neg z) z))) (/ (+ 0 z) (* (neg z) z)) (+ 0 z) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (* (+ (* (/ x y) (log y)) -1) y) (- (- (* (log y) x) y) z) (- (* (log y) x) y) (+ (* (/ x y) (log y)) -1) (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) 1) (* (+ 0 z) (/ 1 (- (* x (log y)) y))) (/ z (+ (* (log y) x) z)) (pow (log y) 2) (neg z) (* x (log y)) (/ 1 (- (* x (log y)) y))) |
| 1× | egg-herbie |
| 10 392× | lower-fma.f64 |
| 10 392× | lower-fma.f32 |
| 5 566× | lower-*.f64 |
| 5 566× | lower-*.f32 |
| 4 484× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 910 | 8091 |
| 1 | 3057 | 7368 |
| 0 | 8349 | 7159 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* x (log y)) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(* x (log y)) |
(+ (* -1 z) (* x (log y))) |
(+ (* -1 z) (* x (log y))) |
(+ (* -1 z) (* x (log y))) |
(log y) |
(+ (log y) (* -1 (/ z x))) |
(+ (log y) (* z (- (/ z (* (pow x 2) (log y))) (/ 1 x)))) |
(+ (log y) (* z (- (* z (+ (* -1 (/ z (* (pow x 3) (pow (log y) 2)))) (/ 1 (* (pow x 2) (log y))))) (/ 1 x)))) |
(- (* x (log y)) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
z |
z |
z |
z |
(- (* x (log y)) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (* x (log y)) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (* x (log y)) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(- (+ (* -1 z) (* x (log y))) y) |
z |
(* z (+ 1 (* -1 (/ z (- (* x (log y)) y))))) |
(* z (+ 1 (* -1 (/ z (- (* x (log y)) y))))) |
(* z (+ 1 (* -1 (/ z (- (* x (log y)) y))))) |
z |
z |
z |
z |
(/ z (- (* x (log y)) y)) |
(/ z (- (* x (log y)) y)) |
(/ z (- (* x (log y)) y)) |
(/ z (- (* x (log y)) y)) |
(/ z (* x (log y))) |
(* z (+ (* -1 (/ z (* (pow x 2) (pow (log y) 2)))) (/ 1 (* x (log y))))) |
(* z (+ (* z (- (/ z (* (pow x 3) (pow (log y) 3))) (/ 1 (* (pow x 2) (pow (log y) 2))))) (/ 1 (* x (log y))))) |
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(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) y))))) |
-1 |
(- (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) y) 1) |
(- (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) y) 1) |
(- (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) y) 1) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (+ (* -1 z) (* x (+ (log -1) (* -1 (log (/ -1 y)))))) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1 (* x (* z (+ (log -1) (* -1 (log (/ -1 y))))))) (* x (* z (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (* x (+ (log -1) (* -1 (log (/ -1 y))))))) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1 (* x (* z (+ (log -1) (* -1 (log (/ -1 y))))))) (+ (* -1 (/ (+ (* -1 (* (pow x 2) (* z (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)))) (* (pow x 2) (* z (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)))) y)) (* x (* z (+ (log -1) (* -1 (log (/ -1 y)))))))) y)) (* x (+ (log -1) (* -1 (log (/ -1 y))))))) y))))) |
z |
(+ z (/ (pow z 2) y)) |
(+ z (* -1 (/ (+ (* -1 (/ (* x (* (pow z 2) (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (pow z 2))) y))) |
(+ z (* -1 (/ (+ (* -1 (/ (+ (* x (* (pow z 2) (+ (log -1) (* -1 (log (/ -1 y)))))) (/ (* (pow x 2) (* (pow z 2) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))) y)) y)) (* -1 (pow z 2))) y))) |
(* -1 (/ z y)) |
(* -1 (/ (+ z (/ (* x (* z (+ (log -1) (* -1 (log (/ -1 y)))))) y)) y)) |
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* (pow x 2) (* z (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))) y)) (* x (* z (+ (log -1) (* -1 (log (/ -1 y))))))) y))) y)) |
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* z (pow (+ (log -1) (* -1 (log (/ -1 y)))) 3))) y) (* -1 (* (pow x 2) (* z (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))))) y)) (* x (* z (+ (log -1) (* -1 (log (/ -1 y))))))) y))) y)) |
(/ z (+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))) |
(/ z (+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))) |
(/ z (+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))) |
(/ z (+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))) |
(pow (+ (log -1) (* -1 (log (/ -1 y)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 y)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 y)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 y)))) 2) |
(* x (+ (log -1) (* -1 (log (/ -1 y))))) |
(* x (+ (log -1) (* -1 (log (/ -1 y))))) |
(* x (+ (log -1) (* -1 (log (/ -1 y))))) |
(* x (+ (log -1) (* -1 (log (/ -1 y))))) |
(/ -1 y) |
(* -1 (/ (+ 1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) y)) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) y)) (* x (+ (log -1) (* -1 (log (/ -1 y)))))) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 3)) y) (* -1 (* (pow x 2) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)))) y)) (* x (+ (log -1) (* -1 (log (/ -1 y)))))) y))) y)) |
(* -1 (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (+ (log y) (* x (+ (* -1 (/ (pow (log y) 2) z)) (/ (pow (log y) 2) z))))) (+ y z)) |
(- (* x (+ (log y) (* x (+ (* -1 (/ (pow (log y) 2) z)) (/ (pow (log y) 2) z))))) (+ y z)) |
(* -1 z) |
(- (* x (log y)) z) |
(- (* x (+ (log y) (* x (+ (* -1 (/ (pow (log y) 2) z)) (/ (pow (log y) 2) z))))) z) |
(- (* x (+ (log y) (* x (+ (* -1 (/ (pow (log y) 2) z)) (/ (pow (log y) 2) z))))) z) |
(/ (* x (pow (log y) 2)) z) |
(* x (+ (* -1 (/ (* x (pow (log y) 3)) (pow z 2))) (/ (pow (log y) 2) z))) |
(* x (+ (* x (- (/ (* x (pow (log y) 4)) (pow z 3)) (/ (pow (log y) 3) (pow z 2)))) (/ (pow (log y) 2) z))) |
(* x (+ (* x (- (* x (- (* -1 (/ (* x (pow (log y) 5)) (pow z 4))) (* -1 (/ (pow (log y) 4) (pow z 3))))) (/ (pow (log y) 3) (pow z 2)))) (/ (pow (log y) 2) z))) |
(* x (pow (log y) 2)) |
(* x (pow (log y) 2)) |
(* x (pow (log y) 2)) |
(* x (pow (log y) 2)) |
(* -1 (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(* -1 y) |
(- (* x (log y)) y) |
(- (* x (log y)) y) |
(- (* x (log y)) y) |
(* -1 (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(* -1 y) |
(+ (* -1 y) (* x (log y))) |
(+ (* -1 y) (* x (log y))) |
(+ (* -1 y) (* x (log y))) |
(* -1 (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(* -1 y) |
(- (* x (log y)) y) |
(- (* x (log y)) y) |
(- (* x (log y)) y) |
-1 |
(- (/ (* x (log y)) y) 1) |
(- (/ (* x (log y)) y) 1) |
(- (/ (* x (log y)) y) 1) |
(* -1 (/ (* y (+ z (/ (pow z 2) y))) z)) |
(+ (* -1 (/ (* y (+ z (/ (pow z 2) y))) z)) (* x (+ (* -1 (/ (* z (log y)) y)) (/ (* (log y) (+ z (/ (pow z 2) y))) z)))) |
(+ (* -1 (/ (* y (+ z (/ (pow z 2) y))) z)) (* x (+ (* -1 (/ (* z (log y)) y)) (+ (* x (+ (* -1 (/ (* z (pow (log y) 2)) (pow y 2))) (/ (* z (pow (log y) 2)) (pow y 2)))) (/ (* (log y) (+ z (/ (pow z 2) y))) z))))) |
(+ (* -1 (/ (* y (+ z (/ (pow z 2) y))) z)) (* x (+ (* -1 (/ (* z (log y)) y)) (+ (* x (+ (* -1 (/ (* z (pow (log y) 2)) (pow y 2))) (+ (* x (+ (* -1 (/ (* z (pow (log y) 3)) (pow y 3))) (/ (* z (pow (log y) 3)) (pow y 3)))) (/ (* z (pow (log y) 2)) (pow y 2))))) (/ (* (log y) (+ z (/ (pow z 2) y))) z))))) |
(+ z (/ (pow z 2) y)) |
(+ z (+ (/ (* x (* (pow z 2) (log y))) (pow y 2)) (/ (pow z 2) y))) |
(+ z (+ (* x (+ (/ (* x (* (pow z 2) (pow (log y) 2))) (pow y 3)) (/ (* (pow z 2) (log y)) (pow y 2)))) (/ (pow z 2) y))) |
(+ z (+ (* x (+ (* x (+ (/ (* x (* (pow z 2) (pow (log y) 3))) (pow y 4)) (/ (* (pow z 2) (pow (log y) 2)) (pow y 3)))) (/ (* (pow z 2) (log y)) (pow y 2)))) (/ (pow z 2) y))) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (* -1 (/ (* x (* z (log y))) (pow y 2)))) |
(+ (* -1 (/ z y)) (* x (- (* -1 (/ (* x (* z (pow (log y) 2))) (pow y 3))) (/ (* z (log y)) (pow y 2))))) |
(+ (* -1 (/ z y)) (* x (- (* x (- (* -1 (/ (* x (* z (pow (log y) 3))) (pow y 4))) (/ (* z (pow (log y) 2)) (pow y 3)))) (/ (* z (log y)) (pow y 2))))) |
1 |
(+ 1 (* -1 (/ (* x (log y)) z))) |
(+ 1 (* x (- (/ (* x (pow (log y) 2)) (pow z 2)) (/ (log y) z)))) |
(+ 1 (* x (- (* x (- (* -1 (/ (* x (pow (log y) 3)) (pow z 3))) (* -1 (/ (pow (log y) 2) (pow z 2))))) (/ (log y) z)))) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(/ -1 y) |
(- (* -1 (/ (* x (log y)) (pow y 2))) (/ 1 y)) |
(- (* x (- (* -1 (/ (* x (pow (log y) 2)) (pow y 3))) (/ (log y) (pow y 2)))) (/ 1 y)) |
(- (* x (- (* x (- (* -1 (/ (* x (pow (log y) 3)) (pow y 4))) (/ (pow (log y) 2) (pow y 3)))) (/ (log y) (pow y 2)))) (/ 1 y)) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (- (+ (log y) (* -1 (/ (+ (* -1 (/ (pow z 2) (log y))) (/ (pow z 2) (log y))) (pow x 2)))) (+ (/ y x) (/ z x)))) |
(* x (- (+ (log y) (* -1 (/ (+ (* -1 (/ (pow z 2) (log y))) (/ (pow z 2) (log y))) (pow x 2)))) (+ (/ y x) (/ z x)))) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ z x)))) |
(* x (- (+ (log y) (* -1 (/ (+ (* -1 (/ (pow z 2) (log y))) (/ (pow z 2) (log y))) (pow x 2)))) (/ z x))) |
(* x (- (+ (log y) (* -1 (/ (+ (* -1 (/ (pow z 2) (log y))) (/ (pow z 2) (log y))) (pow x 2)))) (/ z x))) |
(log y) |
(+ (log y) (* -1 (/ z x))) |
(- (+ (log y) (/ (pow z 2) (* (pow x 2) (log y)))) (/ z x)) |
(- (+ (log y) (* -1 (/ (pow z 3) (* (pow x 3) (pow (log y) 2))))) (+ (* -1 (/ (pow z 2) (* (pow x 2) (log y)))) (/ z x))) |
(* x (pow (log y) 2)) |
(* x (pow (log y) 2)) |
(* x (pow (log y) 2)) |
(* x (pow (log y) 2)) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ y x)))) |
(* x (+ (log y) (* -1 (/ y x)))) |
(* x (+ (log y) (* -1 (/ y x)))) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ y x)))) |
(* x (+ (log y) (* -1 (/ y x)))) |
(* x (+ (log y) (* -1 (/ y x)))) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ y x)))) |
(* x (+ (log y) (* -1 (/ y x)))) |
(* x (+ (log y) (* -1 (/ y x)))) |
(/ (* x (log y)) y) |
(* x (- (/ (log y) y) (/ 1 x))) |
(* x (- (/ (log y) y) (/ 1 x))) |
(* x (- (/ (log y) y) (/ 1 x))) |
(* x (log y)) |
(* x (+ (log y) (+ (* -1 (/ y x)) (* -1 (/ z x))))) |
(* x (+ (log y) (+ (* -1 (/ y x)) (+ (* -1 (/ z x)) (+ (* -1 (/ (* y z) (* (pow x 2) (log y)))) (/ (* y z) (* (pow x 2) (log y)))))))) |
(* x (+ (log y) (+ (* -1 (/ y x)) (+ (* -1 (/ z x)) (+ (* -1 (/ (* y z) (* (pow x 2) (log y)))) (+ (* -1 (/ (* (pow y 2) z) (* (pow x 3) (pow (log y) 2)))) (+ (/ (* y z) (* (pow x 2) (log y))) (/ (* (pow y 2) z) (* (pow x 3) (pow (log y) 2)))))))))) |
z |
(+ z (* -1 (/ (pow z 2) (* x (log y))))) |
(+ z (+ (* -1 (/ (* y (pow z 2)) (* (pow x 2) (pow (log y) 2)))) (* -1 (/ (pow z 2) (* x (log y)))))) |
(+ z (+ (* -1 (/ (* y (pow z 2)) (* (pow x 2) (pow (log y) 2)))) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (* (pow x 3) (pow (log y) 3)))) (* -1 (/ (pow z 2) (* x (log y))))))) |
(/ z (* x (log y))) |
(/ (+ (/ z (log y)) (/ (* y z) (* x (pow (log y) 2)))) x) |
(/ (- (+ (/ z (log y)) (/ (* (pow y 2) z) (* (pow x 2) (pow (log y) 3)))) (* -1 (/ (* y z) (* x (pow (log y) 2))))) x) |
(/ (- (+ (/ z (log y)) (/ (* (pow y 3) z) (* (pow x 3) (pow (log y) 4)))) (+ (* -1 (/ (* y z) (* x (pow (log y) 2)))) (* -1 (/ (* (pow y 2) z) (* (pow x 2) (pow (log y) 3)))))) x) |
(/ z (* x (log y))) |
(/ (+ (* -1 (/ (pow z 2) (* x (pow (log y) 2)))) (/ z (log y))) x) |
(/ (- (+ (/ z (log y)) (/ (pow z 3) (* (pow x 2) (pow (log y) 3)))) (/ (pow z 2) (* x (pow (log y) 2)))) x) |
(/ (- (+ (* -1 (/ (pow z 4) (* (pow x 3) (pow (log y) 4)))) (/ z (log y))) (+ (* -1 (/ (pow z 3) (* (pow x 2) (pow (log y) 3)))) (/ (pow z 2) (* x (pow (log y) 2))))) x) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(/ 1 (* x (log y))) |
(/ (+ (/ 1 (log y)) (/ y (* x (pow (log y) 2)))) x) |
(/ (- (+ (/ 1 (log y)) (/ (pow y 2) (* (pow x 2) (pow (log y) 3)))) (* -1 (/ y (* x (pow (log y) 2))))) x) |
(/ (- (+ (/ 1 (log y)) (/ (pow y 3) (* (pow x 3) (pow (log y) 4)))) (+ (* -1 (/ y (* x (pow (log y) 2)))) (* -1 (/ (pow y 2) (* (pow x 2) (pow (log y) 3)))))) x) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x (log y)))) (/ (pow z 2) (* x (log y)))) (+ y z)) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x (log y)))) (/ (pow z 2) (* x (log y)))) (+ y z)) x))))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x (log y)))) (/ (pow z 2) (* x (log y)))) z) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x (log y)))) (/ (pow z 2) (* x (log y)))) z) x))))) |
(log y) |
(+ (log y) (* -1 (/ z x))) |
(+ (log y) (* -1 (/ (+ z (* -1 (/ (pow z 2) (* x (log y))))) x))) |
(+ (log y) (* -1 (/ (+ z (* -1 (/ (+ (* -1 (/ (pow z 3) (* x (pow (log y) 2)))) (/ (pow z 2) (log y))) x))) x))) |
(* x (pow (log y) 2)) |
(* x (pow (log y) 2)) |
(* x (pow (log y) 2)) |
(* x (pow (log y) 2)) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (/ y x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ y x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ y x)))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (/ y x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ y x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ y x)))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (/ y x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ y x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ y x)))) |
(/ (* x (log y)) y) |
(* -1 (* x (+ (* -1 (/ (log y) y)) (/ 1 x)))) |
(* -1 (* x (+ (* -1 (/ (log y) y)) (/ 1 x)))) |
(* -1 (* x (+ (* -1 (/ (log y) y)) (/ 1 x)))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 y) (* -1 z)) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 y) (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (* y z) (log y))) (/ (* y z) (log y))) x)))) x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 y) (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (* y z) (log y))) (+ (* -1 (/ (+ (* -1 (/ (* (pow y 2) z) (pow (log y) 2))) (/ (* (pow y 2) z) (pow (log y) 2))) x)) (/ (* y z) (log y)))) x)))) x))))) |
z |
(+ z (* -1 (/ (pow z 2) (* x (log y))))) |
(+ z (* -1 (/ (+ (/ (* y (pow z 2)) (* x (pow (log y) 2))) (/ (pow z 2) (log y))) x))) |
(+ z (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* y (pow z 2)) (pow (log y) 2))) (* -1 (/ (* (pow y 2) (pow z 2)) (* x (pow (log y) 3))))) x)) (/ (pow z 2) (log y))) x))) |
(/ z (* x (log y))) |
(* -1 (/ (+ (* -1 (/ z (log y))) (* -1 (/ (* y z) (* x (pow (log y) 2))))) x)) |
(* -1 (/ (+ (* -1 (/ z (log y))) (* -1 (/ (- (/ (* (pow y 2) z) (* x (pow (log y) 3))) (* -1 (/ (* y z) (pow (log y) 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (/ z (log y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow y 3) z) (* x (pow (log y) 4)))) (/ (* (pow y 2) z) (pow (log y) 3))) x)) (* -1 (/ (* y z) (pow (log y) 2)))) x))) x)) |
(/ z (* x (log y))) |
(* -1 (/ (+ (* -1 (/ z (log y))) (/ (pow z 2) (* x (pow (log y) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ z (log y))) (* -1 (/ (- (/ (pow z 3) (* x (pow (log y) 3))) (/ (pow z 2) (pow (log y) 2))) x))) x)) |
(* -1 (/ (+ (* -1 (/ z (log y))) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x (pow (log y) 4))) (/ (pow z 3) (pow (log y) 3))) x)) (/ (pow z 2) (pow (log y) 2))) x))) x)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(/ 1 (* x (log y))) |
(* -1 (/ (- (* -1 (/ y (* x (pow (log y) 2)))) (/ 1 (log y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) (* x (pow (log y) 3))) (* -1 (/ y (pow (log y) 2)))) x)) (/ 1 (log y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) (* x (pow (log y) 4)))) (/ (pow y 2) (pow (log y) 3))) x)) (* -1 (/ y (pow (log y) 2)))) x)) (/ 1 (log y))) x)) |
| Outputs |
|---|
(- (* x (log y)) y) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(+ (* -1 z) (* x (log y))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(+ (* -1 z) (* x (log y))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(+ (* -1 z) (* x (log y))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(log y) |
(log.f64 y) |
(+ (log y) (* -1 (/ z x))) |
(-.f64 (log.f64 y) (/.f64 z x)) |
(+ (log y) (* z (- (/ z (* (pow x 2) (log y))) (/ 1 x)))) |
(fma.f64 (-.f64 (/.f64 z (*.f64 (*.f64 (log.f64 y) x) x)) (/.f64 #s(literal 1 binary64) x)) z (log.f64 y)) |
(+ (log y) (* z (- (* z (+ (* -1 (/ z (* (pow x 3) (pow (log y) 2)))) (/ 1 (* (pow x 2) (log y))))) (/ 1 x)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (log.f64 y) x) x)) (/.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64))) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) z (/.f64 #s(literal -1 binary64) x)) z (log.f64 y)) |
(- (* x (log y)) y) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
z |
z |
z |
z |
(- (* x (log y)) y) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 z)) y) |
(- (* x (log y)) y) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(- (+ (* -1 z) (* x (log y))) y) |
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(* -1 (* x (+ (* -1 (log y)) (/ y x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 y x)) x) |
(* -1 (* x (+ (* -1 (log y)) (/ y x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 y x)) x) |
(* -1 (* x (+ (* -1 (log y)) (/ y x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 y x)) x) |
(/ (* x (log y)) y) |
(/.f64 (*.f64 (log.f64 y) x) y) |
(* -1 (* x (+ (* -1 (/ (log y) y)) (/ 1 x)))) |
(fma.f64 x (/.f64 (log.f64 y) y) #s(literal -1 binary64)) |
(* -1 (* x (+ (* -1 (/ (log y) y)) (/ 1 x)))) |
(fma.f64 x (/.f64 (log.f64 y) y) #s(literal -1 binary64)) |
(* -1 (* x (+ (* -1 (/ (log y) y)) (/ 1 x)))) |
(fma.f64 x (/.f64 (log.f64 y) y) #s(literal -1 binary64)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 y) (* -1 z)) x))))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 y) (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (* y z) (log y))) (/ (* y z) (log y))) x)))) x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 z y) (/.f64 #s(literal 0 binary64) x)) x) (log.f64 y))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 y) (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (* y z) (log y))) (+ (* -1 (/ (+ (* -1 (/ (* (pow y 2) z) (pow (log y) 2))) (/ (* (pow y 2) z) (pow (log y) 2))) x)) (/ (* y z) (log y)))) x)))) x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (neg.f64 x)) z) y) (neg.f64 x)) (log.f64 y))) |
z |
(+ z (* -1 (/ (pow z 2) (* x (log y))))) |
(-.f64 z (*.f64 (/.f64 z (log.f64 y)) (/.f64 z x))) |
(+ z (* -1 (/ (+ (/ (* y (pow z 2)) (* x (pow (log y) 2))) (/ (pow z 2) (log y))) x))) |
(-.f64 z (/.f64 (fma.f64 (/.f64 (*.f64 z z) x) (/.f64 y (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 z z) (log.f64 y))) x)) |
(+ z (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* y (pow z 2)) (pow (log y) 2))) (* -1 (/ (* (pow y 2) (pow z 2)) (* x (pow (log y) 3))))) x)) (/ (pow z 2) (log y))) x))) |
(-.f64 z (/.f64 (-.f64 (/.f64 (*.f64 z z) (log.f64 y)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 z z) x) (/.f64 (*.f64 y y) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 z z) y) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) x)) x)) |
(/ z (* x (log y))) |
(/.f64 z (*.f64 (log.f64 y) x)) |
(* -1 (/ (+ (* -1 (/ z (log y))) (* -1 (/ (* y z) (* x (pow (log y) 2))))) x)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 y x) (/.f64 z (log.f64 y)))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ z (log y))) (* -1 (/ (- (/ (* (pow y 2) z) (* x (pow (log y) 3))) (* -1 (/ (* y z) (pow (log y) 2)))) x))) x)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) (/.f64 z (pow.f64 (log.f64 y) #s(literal 3 binary64))) (*.f64 y (/.f64 z (pow.f64 (log.f64 y) #s(literal 2 binary64))))) (neg.f64 x)) (/.f64 z (log.f64 y))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ z (log y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow y 3) z) (* x (pow (log y) 4)))) (/ (* (pow y 2) z) (pow (log y) 3))) x)) (* -1 (/ (* y z) (pow (log y) 2)))) x))) x)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 4 binary64))) (/.f64 z x) (*.f64 (*.f64 y y) (/.f64 z (pow.f64 (log.f64 y) #s(literal 3 binary64)))))) x) (*.f64 y (/.f64 z (pow.f64 (log.f64 y) #s(literal 2 binary64)))))) x) (/.f64 z (log.f64 y))) (neg.f64 x)) |
(/ z (* x (log y))) |
(/.f64 z (*.f64 (log.f64 y) x)) |
(* -1 (/ (+ (* -1 (/ z (log y))) (/ (pow z 2) (* x (pow (log y) 2)))) x)) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 z x) (/.f64 (neg.f64 z) (log.f64 y))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ z (log y))) (* -1 (/ (- (/ (pow z 3) (* x (pow (log y) 3))) (/ (pow z 2) (pow (log y) 2))) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 z z) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 z (log.f64 y))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ z (log y))) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x (pow (log y) 4))) (/ (pow z 3) (pow (log y) 3))) x)) (/ (pow z 2) (pow (log y) 2))) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (pow.f64 (log.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64)))) (neg.f64 x)) (/.f64 (*.f64 z z) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 z (log.f64 y))) (neg.f64 x)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(/ 1 (* x (log y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)) |
(* -1 (/ (- (* -1 (/ y (* x (pow (log y) 2)))) (/ 1 (log y))) x)) |
(/.f64 (neg.f64 (+.f64 (/.f64 y (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (log.f64 y)))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) (* x (pow (log y) 3))) (* -1 (/ y (pow (log y) 2)))) x)) (/ 1 (log y))) x)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 (log.f64 y) #s(literal 3 binary64))) (/.f64 y x) (/.f64 y (pow.f64 (log.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) (* x (pow (log y) 4)))) (/ (pow y 2) (pow (log y) 3))) x)) (* -1 (/ y (pow (log y) 2)))) x)) (/ 1 (log y))) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (pow.f64 (log.f64 y) #s(literal 4 binary64))) (/.f64 (*.f64 y y) (pow.f64 (log.f64 y) #s(literal 3 binary64)))) x) #s(literal -1 binary64) (/.f64 y (pow.f64 (log.f64 y) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 y))) (neg.f64 x)) |
| 5 428× | lower-fma.f32 |
| 5 420× | lower-fma.f64 |
| 5 162× | lower-*.f32 |
| 5 148× | lower-*.f64 |
| 4 232× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 281 |
| 0 | 78 | 255 |
| 1 | 348 | 228 |
| 2 | 2705 | 228 |
| 0 | 9164 | 225 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) |
(*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) |
(-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) |
#s(approx (- (* (log y) x) y) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))) |
(/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)) |
(+.f64 #s(literal 0 binary64) z) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)))) |
(*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y) |
(-.f64 #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)) z) |
#s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)) |
(fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)))) |
(fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y))) |
#s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)) |
(pow.f64 (log.f64 y) #s(literal 2 binary64)) |
(neg.f64 z) |
(*.f64 x (log.f64 y)) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) |
| Outputs |
|---|
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Compiled 48 524 to 4 264 computations (91.2% saved)
35 alts after pruning (28 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 655 | 18 | 1 673 |
| Fresh | 8 | 10 | 18 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 666 | 35 | 1 701 |
| Status | Accuracy | Program |
|---|---|---|
| 47.6% | (fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z) #s(approx (- (* (log y) x) y) (neg.f64 y))) | |
| 98.3% | (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (log.f64 y) x z)) (fma.f64 (neg.f64 #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))) z (neg.f64 y))) | |
| 98.4% | (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) x) (fma.f64 (neg.f64 #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))) z (neg.f64 y))) | |
| 61.8% | (fma.f64 (log.f64 y) x #s(approx (- (neg z) y) (neg.f64 z))) | |
| 70.7% | (fma.f64 (log.f64 y) x #s(approx (- (neg z) y) (neg.f64 y))) | |
| 37.5% | (pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y))) #s(literal 2 binary64)) | |
| 66.1% | (/.f64 (fma.f64 (/.f64 z (fma.f64 (log.f64 y) x (neg.f64 y))) (neg.f64 z) z) (/.f64 z (fma.f64 (log.f64 y) x (neg.f64 y)))) | |
| 44.8% | (/.f64 #s(approx (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (+.f64 (/.f64 (*.f64 z z) y) z)) (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)))) | |
| 33.0% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 (+.f64 (/.f64 (/.f64 (+.f64 z y) x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 y))) x))) | |
| 33.6% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)))) | |
| 30.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) z))) | |
| 39.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) | |
| ✓ | 99.8% | (-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
| ✓ | 91.2% | (-.f64 #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)) z) |
| 90.8% | (-.f64 #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 x (/.f64 (log.f64 y) y) #s(literal -1 binary64)) y)) z) | |
| 90.7% | (-.f64 #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) (log.f64 y)) #s(literal -1 binary64)) y)) z) | |
| ✓ | 68.0% | (-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) |
| 38.7% | (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))) y) | |
| ✓ | 70.7% | (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) |
| 34.5% | #s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (/.f64 (*.f64 (*.f64 (-.f64 z (*.f64 (/.f64 z (log.f64 y)) (/.f64 z x))) (log.f64 y)) x) z)) | |
| 79.2% | #s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #s(literal 1 binary64)) z)) | |
| 45.6% | #s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (neg.f64 y) (/.f64 (+.f64 (/.f64 (*.f64 z z) y) z) z))) | |
| 33.7% | #s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (log.f64 y) x)) | |
| 13.5% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) z)) | |
| 13.5% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 z)) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) (*.f64 (neg.f64 z) z)))) | |
| 6.8% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z))) (*.f64 (neg.f64 z) z)) (*.f64 (neg.f64 z) z)))) | |
| 11.0% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z)))) | |
| 11.0% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (*.f64 (neg.f64 z) z)))) | |
| 7.0% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (neg.f64 z) z) (neg.f64 z))))) | |
| 13.5% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) | |
| ✓ | 30.2% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) |
| 18.8% | #s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) | |
| ✓ | 18.0% | #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z)) |
| ✓ | 39.3% | #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
| 51.3% | #s(approx (- (- (* x (log y)) z) y) #s(approx (- (* (log y) x) z) (*.f64 (fma.f64 (/.f64 (log.f64 y) z) x #s(literal -1 binary64)) z))) |
Compiled 1 373 to 592 computations (56.9% saved)
| Inputs |
|---|
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
#s(approx (- (- (* x (log y)) z) y) (neg.f64 z)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) |
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) |
(-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z) #s(approx (- (* (log y) x) y) (neg.f64 y))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (neg.f64 y) (/.f64 (+.f64 (/.f64 (*.f64 z z) y) z) z))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (neg.f64 z) z) (neg.f64 z))))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z))) (*.f64 (neg.f64 z) z)) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 z)) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) (*.f64 (neg.f64 z) z)))) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (log.f64 y) x)) |
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (log.f64 y) x)) |
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) |
#s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y))) |
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) |
(fma.f64 (log.f64 y) x #s(approx (- (neg z) y) (neg.f64 y))) |
(fma.f64 (log.f64 y) x #s(approx (- (neg z) y) (neg.f64 z))) |
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
#s(approx (- (- (* x (log y)) z) y) #s(approx (- (* (log y) x) z) (*.f64 (fma.f64 (/.f64 (log.f64 y) z) x #s(literal -1 binary64)) z))) |
(-.f64 #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 x (/.f64 (log.f64 y) y) #s(literal -1 binary64)) y)) z) |
(-.f64 #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 (/.f64 x y) (log.f64 y) #s(literal -1 binary64)) y)) z) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #s(literal 1 binary64)) z)) |
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #s(literal 1 binary64)) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)))) |
(/.f64 #s(approx (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (+.f64 (/.f64 (*.f64 z z) y) z)) (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)))) |
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z)) |
(-.f64 #s(approx (- (* (log y) x) y) (*.f64 (fma.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) (log.f64 y)) #s(literal -1 binary64)) y)) z) |
(pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) |
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))) y) |
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (/.f64 (*.f64 (*.f64 (-.f64 z (*.f64 (/.f64 z (log.f64 y)) (/.f64 z x))) (log.f64 y)) x) z)) |
(/.f64 (fma.f64 (/.f64 z (fma.f64 (log.f64 y) x (neg.f64 y))) (neg.f64 z) z) (/.f64 z (fma.f64 (log.f64 y) x (neg.f64 y)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (log.f64 y)) y)))) |
(pow.f64 (pow.f64 (fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y)) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) (fma.f64 x (log.f64 y) z))) |
#s(approx (- (- (* x (log y)) z) y) (/.f64 #s(approx (- (* (* (neg x) (pow (log y) 2)) x) (* (neg z) z)) (*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (neg.f64 x))) (neg.f64 (fma.f64 x (log.f64 y) z)))) |
(-.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64))) (fma.f64 (log.f64 y) x z)) y) |
#s(approx (- (- (* x (log y)) z) y) (/.f64 (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x) (*.f64 z z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) |
(-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) |
(fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (log.f64 y) x z)) (fma.f64 (neg.f64 #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))) z (neg.f64 y))) |
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 (+.f64 (/.f64 (/.f64 (+.f64 z y) x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 y))) x))) |
(fma.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) (neg.f64 y)) |
(fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) x) (fma.f64 (neg.f64 #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))) z (neg.f64 y))) |
(fma.f64 (fma.f64 (log.f64 y) x z) (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64))) (neg.f64 y)) |
#s(approx (- (- (* x (log y)) z) y) (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 x (log.f64 y) z)) (*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) (neg.f64 z)))) |
#s(approx (- (- (* x (log y)) z) y) (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 x (log.f64 y) z)) x) (*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) (neg.f64 z)))) |
(-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y) |
(-.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y) |
(-.f64 (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y) |
#s(approx (- (- (* x (log y)) z) y) (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (fma.f64 x (log.f64 y) z) #s(literal -1 binary64)) x) (*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) (neg.f64 z)))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) z) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 (/.f64 (fma.f64 x (log.f64 y) z) x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) (neg.f64 z) y) x)) (*.f64 (fma.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) (neg.f64 z) y) (/.f64 (/.f64 (fma.f64 x (log.f64 y) z) x) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) |
| Outputs |
|---|
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
4 calls:
| 26.0ms | y |
| 21.0ms | z |
| 20.0ms | x |
| 20.0ms | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
Compiled 11 to 16 computations (-45.5% saved)
| Inputs |
|---|
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
#s(approx (- (- (* x (log y)) z) y) (neg.f64 z)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) |
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) |
(-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z) #s(approx (- (* (log y) x) y) (neg.f64 y))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (neg.f64 y) (/.f64 (+.f64 (/.f64 (*.f64 z z) y) z) z))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (neg.f64 z) z) (neg.f64 z))))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z))) (*.f64 (neg.f64 z) z)) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 z)) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) (*.f64 (neg.f64 z) z)))) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (log.f64 y) x)) |
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (log.f64 y) x)) |
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) |
#s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y))) |
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) |
(fma.f64 (log.f64 y) x #s(approx (- (neg z) y) (neg.f64 y))) |
(fma.f64 (log.f64 y) x #s(approx (- (neg z) y) (neg.f64 z))) |
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
| Outputs |
|---|
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
4 calls:
| 13.0ms | x |
| 11.0ms | z |
| 9.0ms | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
Compiled 11 to 16 computations (-45.5% saved)
| Inputs |
|---|
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
#s(approx (- (- (* x (log y)) z) y) (neg.f64 z)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) |
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) |
(-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z) #s(approx (- (* (log y) x) y) (neg.f64 y))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (neg.f64 y) (/.f64 (+.f64 (/.f64 (*.f64 z z) y) z) z))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (neg.f64 z) z) (neg.f64 z))))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z))) (*.f64 (neg.f64 z) z)) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 z)) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) (*.f64 (neg.f64 z) z)))) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (log.f64 y) x)) |
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (log.f64 y) x)) |
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) |
#s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y))) |
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) |
(fma.f64 (log.f64 y) x #s(approx (- (neg z) y) (neg.f64 y))) |
(fma.f64 (log.f64 y) x #s(approx (- (neg z) y) (neg.f64 z))) |
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| Outputs |
|---|
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
4 calls:
| 21.0ms | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 9.0ms | y |
| 9.0ms | x |
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
Compiled 11 to 16 computations (-45.5% saved)
| Inputs |
|---|
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
#s(approx (- (- (* x (log y)) z) y) (neg.f64 z)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) |
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) |
(-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z) #s(approx (- (* (log y) x) y) (neg.f64 y))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (neg.f64 y) (/.f64 (+.f64 (/.f64 (*.f64 z z) y) z) z))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (neg.f64 z) z) (neg.f64 z))))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z))) (*.f64 (neg.f64 z) z)) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 z)) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) (*.f64 (neg.f64 z) z)))) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (log.f64 y) x)) |
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (log.f64 y) x)) |
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) |
#s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y))) |
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) |
(fma.f64 (log.f64 y) x #s(approx (- (neg z) y) (neg.f64 y))) |
(fma.f64 (log.f64 y) x #s(approx (- (neg z) y) (neg.f64 z))) |
| Outputs |
|---|
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) |
#s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y))) |
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) |
4 calls:
| 10.0ms | x |
| 9.0ms | z |
| 8.0ms | y |
| 8.0ms | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 3 | x |
| 86.9% | 3 | y |
| 90.6% | 3 | z |
| 88.8% | 2 | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
Compiled 11 to 16 computations (-45.5% saved)
| Inputs |
|---|
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
#s(approx (- (- (* x (log y)) z) y) (neg.f64 z)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) |
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) |
(-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z) #s(approx (- (* (log y) x) y) (neg.f64 y))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (neg.f64 y) (/.f64 (+.f64 (/.f64 (*.f64 z z) y) z) z))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (neg.f64 z) z) (neg.f64 z))))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z))) (*.f64 (neg.f64 z) z)) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 z)) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) (*.f64 (neg.f64 z) z)))) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (log.f64 y) x)) |
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (log.f64 y) x)) |
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) |
| Outputs |
|---|
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) |
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) |
3 calls:
| 8.0ms | x |
| 7.0ms | z |
| 7.0ms | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.1% | 3 | x |
| 86.5% | 2 | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 73.9% | 3 | z |
Compiled 10 to 13 computations (-30% saved)
| Inputs |
|---|
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
#s(approx (- (- (* x (log y)) z) y) (neg.f64 z)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) |
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) |
(-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z) #s(approx (- (* (log y) x) y) (neg.f64 y))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (neg.f64 y) (/.f64 (+.f64 (/.f64 (*.f64 z z) y) z) z))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (neg.f64 z) z) (neg.f64 z))))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z))) (*.f64 (neg.f64 z) z)) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 z)) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) (*.f64 (neg.f64 z) z)))) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (log.f64 y) x)) |
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (log.f64 y) x)) |
| Outputs |
|---|
#s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) |
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) |
3 calls:
| 8.0ms | x |
| 7.0ms | y |
| 7.0ms | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.4% | 3 | x |
| 72.3% | 2 | y |
| 73.7% | 3 | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
Compiled 10 to 13 computations (-30% saved)
| Inputs |
|---|
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
#s(approx (- (- (* x (log y)) z) y) (neg.f64 z)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) |
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) |
(-.f64 #s(approx (- (* (log y) x) y) (neg.f64 y)) z) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (- (* x (log y)) z) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) z))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z) #s(approx (- (* (log y) x) y) (neg.f64 y))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ (+ (* (* (neg z) z) (/ 1 (- (* x (log y)) y))) (* (+ 0 z) 1)) (* (+ 0 z) (/ 1 (- (* x (log y)) y)))) (*.f64 (neg.f64 y) (/.f64 (+.f64 (/.f64 (*.f64 z z) y) z) z))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (neg.f64 z) z) (neg.f64 z))))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z))) (*.f64 (neg.f64 z) z)) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 z)) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))) (*.f64 (neg.f64 z) z)))) |
| Outputs |
|---|
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) |
4 calls:
| 7.0ms | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 6.0ms | x |
| 6.0ms | y |
| 6.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.0% | 1 | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 68.0% | 1 | y |
| 68.0% | 1 | z |
| 68.0% | 1 | x |
Compiled 11 to 16 computations (-45.5% saved)
| Inputs |
|---|
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
#s(approx (- (- (* x (log y)) z) y) (neg.f64 z)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) |
| Outputs |
|---|
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
#s(approx (- (- (* x (log y)) z) y) (neg.f64 z)) |
4 calls:
| 2.0ms | y |
| 2.0ms | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 2.0ms | z |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.5% | 3 | z |
| 42.9% | 3 | x |
| 53.0% | 2 | y |
| 57.6% | 2 | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
Compiled 11 to 16 computations (-45.5% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
| Outputs |
|---|
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
4 calls:
| 4.0ms | z |
| 1.0ms | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.3% | 1 | x |
| 39.3% | 1 | y |
| 39.3% | 1 | z |
| 39.3% | 1 | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
Compiled 11 to 16 computations (-45.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.3400900766923012e-52 | 1.1487570465598713e-41 |
| 10.0ms | -2.19564381476417e+53 | -1.0559392871756845e+51 |
| 17.0ms | 272× | 0 | valid |
Compiled 215 to 268 computations (-24.7% saved)
ival-sub: 5.0ms (46.1% of total)ival-log: 4.0ms (36.9% of total)ival-mult: 2.0ms (18.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5.067853721529464e-134 | -3.671072455039137e-146 |
Compiled 11 to 13 computations (-18.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 8.9637398369282e+165 | 1.4654816078506949e+168 |
| 4.0ms | -2.2829565069607842e+69 | -1.817713227685442e+69 |
| 12.0ms | 160× | 0 | valid |
Compiled 111 to 153 computations (-37.8% saved)
ival-log: 2.0ms (41.2% of total)ival-sub: 1.0ms (20.6% of total)ival-mult: 1.0ms (20.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.2947735229606033e-148 | -1.1521904384186599e-153 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | egg-herbie |
| 20× | +-commutative-binary64-+.f64 |
| 20× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 8× | *-commutative-binary64-*.f64 |
| 6× | neg-sub0-binary64--.f64-neg.f64 |
| 6× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 206 |
| 1 | 59 | 206 |
| 2 | 71 | 206 |
| 3 | 78 | 206 |
| 4 | 80 | 206 |
| 5 | 81 | 206 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
(if (<=.f64 z #s(literal -61999999999999999579698817810420934540625923400531968 binary64)) (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) (if (<=.f64 z #s(literal 8238696027695019/784637716923335095479473677900958302012794430558004314112 binary64)) #s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y))) (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y))) |
(if (<=.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal -2557336412418861/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z))) |
(if (<=.f64 x #s(literal -2200000000000000159569160039364317277548423701222348302140062342053888 binary64)) #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) (if (<=.f64 x #s(literal 21000000000000000548917631404118452857619255066975660003097640525956068954800166513050748556080101381485100303528929984311244000597903106115484503777630988537870417920 binary64)) (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)))) |
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) |
(if (<=.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal -5758609657015291/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416 binary64)) #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) #s(approx (- (- (* x (log y)) z) y) (neg.f64 z))) |
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
| Outputs |
|---|
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) |
(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) |
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
(if (<=.f64 z #s(literal -61999999999999999579698817810420934540625923400531968 binary64)) (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) (if (<=.f64 z #s(literal 8238696027695019/784637716923335095479473677900958302012794430558004314112 binary64)) #s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y))) (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y))) |
(if (<=.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal -2557336412418861/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z))) |
(if (<=.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal -2557336412418861/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 x (log.f64 y)) z))) |
(if (<=.f64 x #s(literal -2200000000000000159569160039364317277548423701222348302140062342053888 binary64)) #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) (if (<=.f64 x #s(literal 21000000000000000548917631404118452857619255066975660003097640525956068954800166513050748556080101381485100303528929984311244000597903106115484503777630988537870417920 binary64)) (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)))) |
(if (<=.f64 x #s(literal -2200000000000000159569160039364317277548423701222348302140062342053888 binary64)) #s(approx (- (- (* x (log y)) z) y) (*.f64 x (log.f64 y))) (if (<=.f64 x #s(literal 21000000000000000548917631404118452857619255066975660003097640525956068954800166513050748556080101381485100303528929984311244000597903106115484503777630988537870417920 binary64)) (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) #s(approx (- (- (* x (log y)) z) y) (*.f64 x (log.f64 y))))) |
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) |
(if (<=.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal -5758609657015291/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416 binary64)) #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) #s(approx (- (- (* x (log y)) z) y) (neg.f64 z))) |
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
| 9 182× | lower-fma.f64 |
| 9 182× | lower-fma.f32 |
| 4 830× | lower-fma.f64 |
| 4 830× | lower-fma.f32 |
| 4 164× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 43 | 20 |
| 2 | 356 | 20 |
| 3 | 5506 | 20 |
| 0 | 8493 | 20 |
| 0 | 75 | 698 |
| 1 | 239 | 674 |
| 2 | 657 | 671 |
| 3 | 2043 | 653 |
| 4 | 5222 | 653 |
| 0 | 8082 | 650 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 198 to 110 computations (44.4% saved)
Compiled 256 to 92 computations (64.1% saved)
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