
Time bar (total: 9.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 100% | 49.9% | 0% | 0.1% | 0% | 49.9% | 0% | 3 |
Compiled 10 to 9 computations (10% saved)
| 533.0ms | 8 255× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
ival-sub: 132.0ms (41.8% of total)ival-log: 110.0ms (34.9% of total)ival-mult: 64.0ms (20.3% of total)ival-true: 6.0ms (1.9% of total)ival-assert: 3.0ms (1% 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 |
| 41.0ms | 512× | 0 | valid |
Compiled 58 to 25 computations (56.9% saved)
ival-log: 7.0ms (44.4% of total)ival-sub: 4.0ms (25.4% of total)ival-mult: 4.0ms (25.4% 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 |
|---|---|---|
| ▶ | 99.9% | (-.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 | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.015625 | (-.f64 (*.f64 x (log.f64 y)) z) | |
| accuracy | 0.28125 | (*.f64 x (log.f64 y)) |
| 20.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-mult: 7.0ms (53.8% of total)ival-log: 3.0ms (23.1% of total)ival-sub: 2.0ms (15.4% 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 | |
|---|---|---|---|---|
| 97.0ms | y | @ | 0 | ((- (- (* x (log y)) z) y) (- (* x (log y)) z) (* x (log y)) (log y)) |
| 22.0ms | x | @ | 0 | ((- (- (* x (log y)) z) y) (- (* x (log y)) z) (* x (log y)) (log y)) |
| 19.0ms | y | @ | -inf | ((- (- (* 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)) |
| 6.0ms | x | @ | -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 |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64)) (*.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) y))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) y) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) y) (-.f64 (*.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) y) (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 y) y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64)))) (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (hypot.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) y))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)) (pow.f64 (+.f64 z y) #s(literal 2 binary64))) (pow.f64 (fma.f64 (log.f64 y) x (+.f64 z y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 (log.f64 y) x) z) y (hypot.f64 (-.f64 (*.f64 (log.f64 y) x) z) y)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 #s(literal 1 binary64) (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y)) |
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 3 binary64)) (pow.f64 (+.f64 z y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 z y) (fma.f64 (log.f64 y) x (+.f64 z y)) (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 (log.f64 y) x) z) y (hypot.f64 (-.f64 (*.f64 (log.f64 y) x) z) y))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) (/.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y))) |
(*.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) (*.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) (pow.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (neg.f64 y) y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (log.f64 y) x) z) y (hypot.f64 (-.f64 (*.f64 (log.f64 y) x) z) y)) (/.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) (fma.f64 (-.f64 (*.f64 (log.f64 y) x) z) y (hypot.f64 (-.f64 (*.f64 (log.f64 y) x) z) y)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (log.f64 y) x) z) y (hypot.f64 (-.f64 (*.f64 (log.f64 y) x) z) y)) (*.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) (pow.f64 (fma.f64 (-.f64 (*.f64 (log.f64 y) x) z) y (hypot.f64 (-.f64 (*.f64 (log.f64 y) x) z) y)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (*.f64 (log.f64 y) x) z) y (hypot.f64 (-.f64 (*.f64 (log.f64 y) x) z) y)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (log.f64 y) x (+.f64 z y)) (-.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)) (pow.f64 (+.f64 z y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (+.f64 z y) (fma.f64 (log.f64 y) x (+.f64 z y)) (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 3 binary64)) (pow.f64 (+.f64 z y) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) (hypot.f64 (-.f64 (*.f64 (log.f64 y) x) z) y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (hypot.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 (*.f64 (log.f64 y) x) z) y (hypot.f64 (-.f64 (*.f64 (log.f64 y) x) z) y)) #s(literal -1 binary64))) (-.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 (*.f64 (log.f64 y) x) z) y (hypot.f64 (-.f64 (*.f64 (log.f64 y) x) z) y)) #s(literal -1 binary64))) (hypot.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 3/2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64)) (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 y (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64)) (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y)) (*.f64 y (/.f64 y (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) x) z) y (hypot.f64 (-.f64 (*.f64 (log.f64 y) x) z) y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) x) z) y (hypot.f64 (-.f64 (*.f64 (log.f64 y) x) z) y))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) x) z) y (hypot.f64 (-.f64 (*.f64 (log.f64 y) x) z) y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) x) z) y (hypot.f64 (-.f64 (*.f64 (log.f64 y) x) z) y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (neg.f64 z) y) #s(literal 2 binary64))) (-.f64 (*.f64 (log.f64 y) x) (-.f64 (neg.f64 z) y))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64))) (-.f64 (neg.f64 y) (-.f64 (*.f64 (log.f64 y) x) z))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64)) (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64)) (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64)) (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y)) (*.f64 y (/.f64 y (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) x) z) y (hypot.f64 (-.f64 (*.f64 (log.f64 y) x) z) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) x) z) y (hypot.f64 (-.f64 (*.f64 (log.f64 y) x) z) y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) x) z) y (hypot.f64 (-.f64 (*.f64 (log.f64 y) x) z) y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) x) z) y (hypot.f64 (-.f64 (*.f64 (log.f64 y) x) z) y))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) x) z) y (hypot.f64 (-.f64 (*.f64 (log.f64 y) x) z) y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (log.f64 y) x) z) y (hypot.f64 (-.f64 (*.f64 (log.f64 y) x) z) y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 3 binary64)) (pow.f64 (-.f64 (neg.f64 z) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (neg.f64 z) y) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 y) x) (-.f64 (neg.f64 z) y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)) (pow.f64 (+.f64 z y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (log.f64 y) x (+.f64 z y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 3 binary64)) (pow.f64 (+.f64 z y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z y) (fma.f64 (log.f64 y) x (+.f64 z y)) (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 (log.f64 y) x) z) y (hypot.f64 (-.f64 (*.f64 (log.f64 y) x) z) y))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (hypot.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (hypot.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 4 binary64))) (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (log.f64 y) x) z) y (hypot.f64 (-.f64 (*.f64 (log.f64 y) x) z) y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (hypot.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 3/2 binary64))) (fma.f64 (-.f64 (*.f64 (log.f64 y) x) z) y (hypot.f64 (-.f64 (*.f64 (log.f64 y) x) z) y)))) |
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(fma.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 (log.f64 y) x z) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (log.f64 y) x z) z) (-.f64 (*.f64 (fma.f64 (log.f64 y) x z) z) (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (log.f64 y) x) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 z x) (log.f64 y) (hypot.f64 z (*.f64 (log.f64 y) x)))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (hypot.f64 z (*.f64 (log.f64 y) x)) (*.f64 z (*.f64 (log.f64 y) x))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)))) (-.f64 (*.f64 (log.f64 y) x) z) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) |
(fma.f64 (*.f64 (*.f64 (log.f64 y) x) x) (/.f64 (log.f64 y) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) |
(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))))) |
(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))))) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) |
(fma.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 3/2 binary64)) (fma.f64 (*.f64 z x) (log.f64 y) (hypot.f64 z (*.f64 (log.f64 y) x)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 z x) (log.f64 y) (hypot.f64 z (*.f64 (log.f64 y) x)))))) |
(fma.f64 #s(literal -1 binary64) z (*.f64 (log.f64 y) x)) |
(fma.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z x) (log.f64 y) (hypot.f64 z (*.f64 (log.f64 y) x)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 z x) (log.f64 y) (hypot.f64 z (*.f64 (log.f64 y) x)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (fma.f64 (*.f64 z x) (log.f64 y) (hypot.f64 z (*.f64 (log.f64 y) x)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 z x) (log.f64 y) (hypot.f64 z (*.f64 (log.f64 y) x)))))) |
(fma.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)) (/.f64 (*.f64 (log.f64 y) x) (fma.f64 (*.f64 z x) (log.f64 y) (hypot.f64 z (*.f64 (log.f64 y) x)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 z x) (log.f64 y) (hypot.f64 z (*.f64 (log.f64 y) x)))))) |
(fma.f64 (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 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) |
(fma.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 z x) (log.f64 y) (hypot.f64 z (*.f64 (log.f64 y) x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 z x) (log.f64 y) (hypot.f64 z (*.f64 (log.f64 y) x)))))) |
(fma.f64 z #s(literal -1 binary64) (*.f64 (log.f64 y) x)) |
(fma.f64 (*.f64 (log.f64 y) x) (/.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 z x) (log.f64 y) (hypot.f64 z (*.f64 (log.f64 y) x)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 z x) (log.f64 y) (hypot.f64 z (*.f64 (log.f64 y) x)))))) |
(fma.f64 (*.f64 (log.f64 y) x) (/.f64 (*.f64 (log.f64 y) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) |
(fma.f64 (log.f64 y) (/.f64 (*.f64 (*.f64 (log.f64 y) x) x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(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)) |
(-.f64 (fma.f64 (log.f64 y) x #s(literal 0 binary64)) z) |
(-.f64 #s(literal 0 binary64) (-.f64 z (*.f64 (log.f64 y) x))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)) (fma.f64 (log.f64 y) x z)) (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 z x) (log.f64 y) (hypot.f64 z (*.f64 (log.f64 y) x)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 z x) (log.f64 y) (hypot.f64 z (*.f64 (log.f64 y) x))))) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (*.f64 (log.f64 y) x) z))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (log.f64 y) x) z)) #s(literal 1 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 z x) (log.f64 y) (hypot.f64 z (*.f64 (log.f64 y) x)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 z x) (log.f64 y) (hypot.f64 z (*.f64 (log.f64 y) x)))))) |
(+.f64 (neg.f64 z) (*.f64 (log.f64 y) x)) |
(+.f64 (*.f64 (log.f64 y) x) (neg.f64 z)) |
(*.f64 (log.f64 y) x) |
(*.f64 x (log.f64 y)) |
(pow.f64 (*.f64 (log.f64 y) x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) |
(log.f64 y) |
Compiled 7 551 to 675 computations (91.1% saved)
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 309 | 14 | 323 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 309 | 15 | 324 |
| Status | Accuracy | Program |
|---|---|---|
| 57.4% | (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)) | |
| ▶ | 98.6% | (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)) |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) |
| 73.6% | (-.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) | |
| 98.2% | (-.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) | |
| 98.2% | (-.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) | |
| ✓ | 99.9% | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| ▶ | 49.8% | (-.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) y) |
| 66.3% | (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) | |
| 68.7% | (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) | |
| 45.6% | (*.f64 (fma.f64 (neg.f64 y) y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) | |
| 65.0% | #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) | |
| ▶ | 32.4% | #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) |
| 34.3% | #s(approx (- (- (* x (log y)) z) y) (neg.f64 z)) | |
| ▶ | 36.1% | #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
Compiled 402 to 287 computations (28.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 y) | |
| cost-diff | 0 | (fma.f64 (log.f64 y) x z) | |
| cost-diff | 6080 | (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64))) | |
| cost-diff | 14592 | (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)) | |
| cost-diff | 0 | (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) | |
| cost-diff | 0 | (-.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) y) | |
| cost-diff | 320 | (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64)) | |
| cost-diff | 12800 | (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (log.f64 y) | |
| cost-diff | 0 | (*.f64 (log.f64 y) x) | |
| cost-diff | 0 | #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) | |
| 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))) |
| 18 448× | lower-fma.f32 |
| 18 444× | lower-fma.f64 |
| 3 710× | lower-*.f32 |
| 3 704× | lower-*.f64 |
| 1 578× | lower-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 200 |
| 0 | 44 | 184 |
| 1 | 76 | 168 |
| 2 | 138 | 166 |
| 3 | 444 | 166 |
| 4 | 1877 | 166 |
| 5 | 5341 | 166 |
| 0 | 8216 | 166 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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) |
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(log.f64 y) |
y |
x |
(-.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) y) |
(-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) |
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) |
(*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64)) |
(log.f64 (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(log.f64 y) |
y |
x |
#s(literal 1 binary64) |
z |
(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)) |
(fma.f64 (log.f64 y) x z) |
(log.f64 y) |
y |
x |
z |
(*.f64 (-.f64 (*.f64 (log.f64 y) x) z) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64))) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(*.f64 (log.f64 y) x) |
(pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(neg.f64 y) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) |
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
#s(literal 1 binary64) |
(pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)) |
(pow.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal -1 binary64)) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) |
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 x (log.f64 y)) z) |
(*.f64 (log.f64 y) x) |
(*.f64 x (log.f64 y)) |
(log.f64 y) |
y |
x |
z |
#s(literal -1 binary64) |
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 x (log.f64 y))) |
(*.f64 (log.f64 y) x) |
(*.f64 x (log.f64 y)) |
(log.f64 y) |
y |
x |
(-.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) y) |
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
(-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) |
(-.f64 (*.f64 x (log.f64 y)) z) |
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) |
(*.f64 x (log.f64 y)) |
(*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64)) |
(log.f64 (*.f64 x (log.f64 y))) |
(log.f64 (*.f64 (log.f64 y) x)) |
(log.f64 (*.f64 x (log.f64 y))) |
(*.f64 (log.f64 y) x) |
(*.f64 x (log.f64 y)) |
(log.f64 y) |
y |
x |
#s(literal 1 binary64) |
z |
(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)) |
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
(fma.f64 (log.f64 y) x z) |
(fma.f64 x (log.f64 y) z) |
(log.f64 y) |
y |
x |
z |
(*.f64 (-.f64 (*.f64 (log.f64 y) x) z) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 x (log.f64 y)) z) (fma.f64 x (log.f64 y) z)) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 x (log.f64 y)) z) |
(*.f64 (log.f64 y) x) |
(*.f64 x (log.f64 y)) |
(pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 x (log.f64 y) z) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(neg.f64 y) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05859375 | (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) | |
| accuracy | 0.09765625 | (fma.f64 (log.f64 y) x z) | |
| accuracy | 0.11166000976844202 | (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64))) | |
| accuracy | 0.16015625 | (*.f64 (log.f64 y) x) | |
| accuracy | 0.00390625 | (log.f64 (*.f64 (log.f64 y) x)) | |
| accuracy | 0.01171875 | (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) | |
| accuracy | 0.16015625 | (*.f64 (log.f64 y) x) | |
| accuracy | 2.962735859654744 | (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.16015625 | (*.f64 (log.f64 y) x) | |
| accuracy | 22.69072821171047 | #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 19.967078253528516 | #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) | |
| accuracy | 0.01171875 | (-.f64 (*.f64 (log.f64 y) x) z) | |
| accuracy | 0.0390625 | (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)) | |
| accuracy | 0.1171875 | (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) | |
| accuracy | 0.16015625 | (*.f64 (log.f64 y) x) |
| 72.0ms | 131× | 0 | valid |
| 27.0ms | 125× | 0 | invalid |
Compiled 200 to 27 computations (86.5% saved)
ival-mult: 8.0ms (20.6% of total)ival-log: 8.0ms (20.6% of total)ival-pow: 8.0ms (20.6% of total)ival-sub: 7.0ms (18.1% of total)ival-exp: 3.0ms (7.7% of total)ival-div: 2.0ms (5.2% of total)ival-add: 2.0ms (5.2% of total)ival-neg: 1.0ms (2.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
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#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 (-.f64 (*.f64 (log.f64 y) x) z) (patch (-.f64 (*.f64 (log.f64 y) x) 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 (log.f64 y) x)) (patch #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) #<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 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64)) (patch (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64)) #<representation:binary64>) () ()) |
#s(alt (-.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) y) (patch (-.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) y) #<representation:binary64>) () ()) |
#s(alt (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) (patch (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) #<representation:binary64>) () ()) |
#s(alt (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)) (patch (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)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64))) (patch (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (log.f64 y) x z) (patch (fma.f64 (log.f64 y) x z) #<representation:binary64>) () ()) |
#s(alt (log.f64 (*.f64 (log.f64 y) x)) (patch (log.f64 (*.f64 (log.f64 y) x)) #<representation:binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (* x (log y)) y) (taylor 0 z) (#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 (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#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 (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#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 (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#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 (/ 1 (- (* x (log y)) y)) (taylor 0 z) (#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 (+ (/ 1 (- (* x (log y)) y)) (/ z (pow (- (* x (log y)) y) 2))) (taylor 0 z) (#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 (+ (* z (+ (/ 1 (pow (- (* x (log y)) y) 2)) (/ z (pow (- (* x (log y)) y) 3)))) (/ 1 (- (* x (log y)) y))) (taylor 0 z) (#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 (+ (* 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))) (taylor 0 z) (#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 (- (* x (log y)) y) (taylor 0 z) (#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 (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#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 (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#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 (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#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 (* x (log y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 (log.f64 y) x) z) (patch (-.f64 (*.f64 (log.f64 y) x) z) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (log.f64 y) x) z) (patch (-.f64 (*.f64 (log.f64 y) x) z) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (log.f64 y) x) z) (patch (-.f64 (*.f64 (log.f64 y) x) z) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (log.f64 y) x) z) (patch (-.f64 (*.f64 (log.f64 y) x) z) #<representation:binary64>) () ())) ()) |
#s(alt (- (* x (log y)) y) (taylor 0 z) (#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 (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#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 (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#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 (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#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 (- (* x (log y)) y) (taylor 0 z) (#s(alt #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) (patch #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) (patch #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) (patch #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) (patch #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) #<representation:binary64>) () ())) ()) |
#s(alt (- (* x (log y)) y) (taylor 0 z) (#s(alt (-.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) y) (patch (-.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) y) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) y) (patch (-.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) y) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) y) (patch (-.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) y) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) y) (patch (-.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) y) #<representation:binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor 0 z) (#s(alt (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) (patch (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) (patch (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) (patch (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) (patch (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) #<representation:binary64>) () ())) ()) |
#s(alt (- (* x (log y)) y) (taylor 0 z) (#s(alt (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)) (patch (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)) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (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)) (patch (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)) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (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)) (patch (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)) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (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)) (patch (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)) #<representation:binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64))) (patch (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -2 (/ z (* x (log y))))) (taylor 0 z) (#s(alt (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64))) (patch (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* z (- (* 2 (/ z (* (pow x 2) (pow (log y) 2)))) (* 2 (/ 1 (* x (log y))))))) (taylor 0 z) (#s(alt (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64))) (patch (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* z (- (* z (+ (* -2 (/ z (* (pow x 3) (pow (log y) 3)))) (* 2 (/ 1 (* (pow x 2) (pow (log y) 2)))))) (* 2 (/ 1 (* x (log y))))))) (taylor 0 z) (#s(alt (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64))) (patch (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor 0 z) (#s(alt (fma.f64 (log.f64 y) x z) (patch (fma.f64 (log.f64 y) x z) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (* x (log y))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 y) x z) (patch (fma.f64 (log.f64 y) x z) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (* x (log y))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 y) x z) (patch (fma.f64 (log.f64 y) x z) #<representation:binary64>) () ())) ()) |
#s(alt (+ z (* x (log y))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 y) x z) (patch (fma.f64 (log.f64 y) x z) #<representation:binary64>) () ())) ()) |
#s(alt (/ 1 (* x (log y))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ z (* (pow x 2) (pow (log y) 2)))) (/ 1 (* x (log y)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* z (- (/ z (* (pow x 3) (pow (log y) 3))) (/ 1 (* (pow x 2) (pow (log y) 2))))) (/ 1 (* x (log y)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* 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)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#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>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) (taylor -inf x) (#s(alt (-.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) y) (patch (-.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) y) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) (taylor -inf x) (#s(alt (-.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) y) (patch (-.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) y) #<representation:binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) (patch (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (log y)) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) (patch (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (log y)) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) (patch (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (log y)) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) (patch (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) #<representation:binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation:binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64))) (patch (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (/ z (log y)) (* -1 (/ z (log y)))) x))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64))) (patch (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (* z (- (/ z (log y)) (* -1 (/ z (log y))))) (* x (log y)))) (/ z (log y))) (* -1 (/ z (log y)))) x))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64))) (patch (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (/ z (log y)) (* -1 (/ z (log y))))) (* x (pow (log y) 2)))) (* -1 (/ (* z (- (/ z (log y)) (* -1 (/ z (log y))))) (log y)))) x)) (/ z (log y))) (* -1 (/ z (log y)))) x))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64))) (patch (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (fma.f64 (log.f64 y) x z) (patch (fma.f64 (log.f64 y) x z) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (log.f64 y) x z) (patch (fma.f64 (log.f64 y) x z) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (log.f64 y) x z) (patch (fma.f64 (log.f64 y) x z) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (log.f64 y) x z) (patch (fma.f64 (log.f64 y) x z) #<representation:binary64>) () ())) ()) |
#s(alt (+ (log (* -1 (log y))) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (*.f64 (log.f64 y) x)) (patch (log.f64 (*.f64 (log.f64 y) x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (log (* -1 (log y))) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (*.f64 (log.f64 y) x)) (patch (log.f64 (*.f64 (log.f64 y) x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (log (* -1 (log y))) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (*.f64 (log.f64 y) x)) (patch (log.f64 (*.f64 (log.f64 y) x)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (log (* -1 (log y))) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (*.f64 (log.f64 y) x)) (patch (log.f64 (*.f64 (log.f64 y) x)) #<representation:binary64>) () ())) ()) |
#s(alt (/ 1 (* x (log y))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (/ z (* x (pow (log y) 2))) (/ 1 (log y))) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x (pow (log y) 3))) (/ z (pow (log y) 2))) x)) (/ 1 (log y))) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* x (pow (log y) 4))) (/ (pow z 2) (pow (log y) 3))) x)) (/ z (pow (log y) 2))) x)) (/ 1 (log y))) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) #<representation:binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 84.0ms | y | @ | 0 | ((/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (- (- (* (log y) x) z) y) (- (* (log y) x) z) (- (- (* x (log y)) z) y) (neg y) (- (- (* x (log y)) z) y) (* (log y) x) (log y) (exp (* (log (* (log y) x)) 1)) (* (log (* (log y) x)) 1) (- (- (exp (* (log (* (log y) x)) 1)) z) y) (- (exp (* (log (* (log y) x)) 1)) z) (+ (* (+ (* (log y) x) z) (* (- (* (log y) x) z) (pow (+ (* (log y) x) z) -1))) (neg y)) (* (- (* (log y) x) z) (pow (+ (* (log y) x) z) -1)) (+ (* (log y) x) z) (log (* (log y) x)) (pow (+ (* (log y) x) z) -1)) |
| 35.0ms | x | @ | -inf | ((/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (- (- (* (log y) x) z) y) (- (* (log y) x) z) (- (- (* x (log y)) z) y) (neg y) (- (- (* x (log y)) z) y) (* (log y) x) (log y) (exp (* (log (* (log y) x)) 1)) (* (log (* (log y) x)) 1) (- (- (exp (* (log (* (log y) x)) 1)) z) y) (- (exp (* (log (* (log y) x)) 1)) z) (+ (* (+ (* (log y) x) z) (* (- (* (log y) x) z) (pow (+ (* (log y) x) z) -1))) (neg y)) (* (- (* (log y) x) z) (pow (+ (* (log y) x) z) -1)) (+ (* (log y) x) z) (log (* (log y) x)) (pow (+ (* (log y) x) z) -1)) |
| 33.0ms | x | @ | 0 | ((/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (- (- (* (log y) x) z) y) (- (* (log y) x) z) (- (- (* x (log y)) z) y) (neg y) (- (- (* x (log y)) z) y) (* (log y) x) (log y) (exp (* (log (* (log y) x)) 1)) (* (log (* (log y) x)) 1) (- (- (exp (* (log (* (log y) x)) 1)) z) y) (- (exp (* (log (* (log y) x)) 1)) z) (+ (* (+ (* (log y) x) z) (* (- (* (log y) x) z) (pow (+ (* (log y) x) z) -1))) (neg y)) (* (- (* (log y) x) z) (pow (+ (* (log y) x) z) -1)) (+ (* (log y) x) z) (log (* (log y) x)) (pow (+ (* (log y) x) z) -1)) |
| 27.0ms | y | @ | -inf | ((/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (- (- (* (log y) x) z) y) (- (* (log y) x) z) (- (- (* x (log y)) z) y) (neg y) (- (- (* x (log y)) z) y) (* (log y) x) (log y) (exp (* (log (* (log y) x)) 1)) (* (log (* (log y) x)) 1) (- (- (exp (* (log (* (log y) x)) 1)) z) y) (- (exp (* (log (* (log y) x)) 1)) z) (+ (* (+ (* (log y) x) z) (* (- (* (log y) x) z) (pow (+ (* (log y) x) z) -1))) (neg y)) (* (- (* (log y) x) z) (pow (+ (* (log y) x) z) -1)) (+ (* (log y) x) z) (log (* (log y) x)) (pow (+ (* (log y) x) z) -1)) |
| 24.0ms | y | @ | inf | ((/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (- (- (* (log y) x) z) y) (- (* (log y) x) z) (- (- (* x (log y)) z) y) (neg y) (- (- (* x (log y)) z) y) (* (log y) x) (log y) (exp (* (log (* (log y) x)) 1)) (* (log (* (log y) x)) 1) (- (- (exp (* (log (* (log y) x)) 1)) z) y) (- (exp (* (log (* (log y) x)) 1)) z) (+ (* (+ (* (log y) x) z) (* (- (* (log y) x) z) (pow (+ (* (log y) x) z) -1))) (neg y)) (* (- (* (log y) x) z) (pow (+ (* (log y) x) z) -1)) (+ (* (log y) x) z) (log (* (log y) x)) (pow (+ (* (log y) x) z) -1)) |
| 1× | egg-herbie |
| 7 130× | lower-fma.f64 |
| 7 130× | lower-fma.f32 |
| 5 360× | lower-*.f64 |
| 5 360× | lower-*.f32 |
| 2 350× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 548 | 6103 |
| 1 | 1728 | 5681 |
| 2 | 5547 | 5521 |
| 0 | 8359 | 5382 |
| 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 (- (* 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) |
(- (* 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 |
(+ 1 (* -2 (/ z (* x (log y))))) |
(+ 1 (* z (- (* 2 (/ z (* (pow x 2) (pow (log y) 2)))) (* 2 (/ 1 (* x (log y))))))) |
(+ 1 (* z (- (* z (+ (* -2 (/ z (* (pow x 3) (pow (log y) 3)))) (* 2 (/ 1 (* (pow x 2) (pow (log y) 2)))))) (* 2 (/ 1 (* x (log y))))))) |
(* x (log y)) |
(+ z (* x (log y))) |
(+ z (* x (log y))) |
(+ z (* x (log y))) |
(/ 1 (* x (log y))) |
(+ (* -1 (/ z (* (pow x 2) (pow (log y) 2)))) (/ 1 (* x (log y)))) |
(+ (* z (- (/ z (* (pow x 3) (pow (log y) 3))) (/ 1 (* (pow x 2) (pow (log y) 2))))) (/ 1 (* x (log y)))) |
(+ (* 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) |
(/ (- (/ 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 (- (/ (* 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 (/ 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 |
(- (/ (* x (log y)) z) (+ 1 (* -1 (/ (* x (log y)) z)))) |
(- (+ (* -1 (/ (* x (* (log y) (- (* x (log y)) (* -1 (* x (log y)))))) (pow z 2))) (/ (* x (log y)) z)) (+ 1 (* -1 (/ (* x (log y)) z)))) |
(- (+ (/ (* x (log y)) z) (/ (* (pow x 2) (* (pow (log y) 2) (- (* x (log y)) (* -1 (* x (log y)))))) (pow z 3))) (+ 1 (+ (* -1 (/ (* x (log y)) z)) (/ (* x (* (log y) (- (* x (log y)) (* -1 (* x (log y)))))) (pow z 2))))) |
z |
(* z (+ 1 (/ (* x (log y)) z))) |
(* z (+ 1 (/ (* x (log y)) z))) |
(* z (+ 1 (/ (* x (log y)) z))) |
(/ 1 z) |
(/ (+ 1 (* -1 (/ (* x (log y)) z))) z) |
(/ (- (+ 1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))) (/ (* x (log y)) z)) 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))) 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 (/ (* 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)) y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (* x (log y)) y) z))))) |
(* -1 z) |
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(* -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)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(+ (log (* -1 (log y))) (* -1 (log (/ -1 x)))) |
(+ (log (* -1 (log y))) (* -1 (log (/ -1 x)))) |
(+ (log (* -1 (log y))) (* -1 (log (/ -1 x)))) |
(+ (log (* -1 (log y))) (* -1 (log (/ -1 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))))) |
1 |
(+ 1 (* -1 (/ (- (/ z (log y)) (* -1 (/ z (log y)))) x))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (* z (- (/ z (log y)) (* -1 (/ z (log y))))) (* x (log y)))) (/ z (log y))) (* -1 (/ z (log y)))) x))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (/ z (log y)) (* -1 (/ z (log y))))) (* x (pow (log y) 2)))) (* -1 (/ (* z (- (/ z (log y)) (* -1 (/ z (log y))))) (log y)))) x)) (/ z (log y))) (* -1 (/ z (log y)))) x))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ z x))))) |
(+ (log (* -1 (log y))) (* -1 (log (/ -1 x)))) |
(+ (log (* -1 (log y))) (* -1 (log (/ -1 x)))) |
(+ (log (* -1 (log y))) (* -1 (log (/ -1 x)))) |
(+ (log (* -1 (log y))) (* -1 (log (/ -1 x)))) |
(/ 1 (* x (log y))) |
(* -1 (/ (- (/ z (* x (pow (log y) 2))) (/ 1 (log y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x (pow (log y) 3))) (/ z (pow (log y) 2))) x)) (/ 1 (log y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* x (pow (log y) 4))) (/ (pow z 2) (pow (log y) 3))) x)) (/ z (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 (-.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) |
(- (* 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 |
#s(literal 1 binary64) |
(+ 1 (* -2 (/ z (* x (log y))))) |
(fma.f64 (/.f64 z (*.f64 (log.f64 y) x)) #s(literal -2 binary64) #s(literal 1 binary64)) |
(+ 1 (* z (- (* 2 (/ z (* (pow x 2) (pow (log y) 2)))) (* 2 (/ 1 (* x (log y))))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 (-.f64 (/.f64 z (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (log.f64 y))) x) #s(literal 1 binary64)) |
(+ 1 (* z (- (* z (+ (* -2 (/ z (* (pow x 3) (pow (log y) 3)))) (* 2 (/ 1 (* (pow x 2) (pow (log y) 2)))))) (* 2 (/ 1 (* x (log y))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 x x))) z (/.f64 #s(literal -2 binary64) (*.f64 (log.f64 y) x))) z #s(literal 1 binary64)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(+ z (* x (log y))) |
(fma.f64 (log.f64 y) x z) |
(+ z (* x (log y))) |
(fma.f64 (log.f64 y) x z) |
(+ z (* x (log y))) |
(fma.f64 (log.f64 y) x z) |
(/ 1 (* x (log y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)) |
(+ (* -1 (/ z (* (pow x 2) (pow (log y) 2)))) (/ 1 (* x (log y)))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 z (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x))) x) |
(+ (* z (- (/ z (* (pow x 3) (pow (log y) 3))) (/ 1 (* (pow x 2) (pow (log y) 2))))) (/ 1 (* x (log y)))) |
(fma.f64 (-.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))) z (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x))) |
(+ (* 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 (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))) z (/.f64 #s(literal 1 binary64) (*.f64 (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) |
(/.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 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) #s(literal 2 binary64))) (*.f64 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 (-.f64 (+.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) (-.f64 (/.f64 y z) #s(literal 1 binary64))) (fma.f64 (/.f64 (log.f64 y) z) x (/.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) #s(literal 2 binary64)) z) z))) 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) |
(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 |
#s(literal -1 binary64) |
(- (/ (* x (log y)) z) (+ 1 (* -1 (/ (* x (log y)) z)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 y) z)) x #s(literal -1 binary64)) |
(- (+ (* -1 (/ (* x (* (log y) (- (* x (log y)) (* -1 (* x (log y)))))) (pow z 2))) (/ (* x (log y)) z)) (+ 1 (* -1 (/ (* x (log y)) z)))) |
(-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 y) z)) x #s(literal -1 binary64)) (/.f64 (hypot.f64 (*.f64 (log.f64 y) x) (*.f64 (log.f64 y) x)) (*.f64 z z))) |
(- (+ (/ (* x (log y)) z) (/ (* (pow x 2) (* (pow (log y) 2) (- (* x (log y)) (* -1 (* x (log y)))))) (pow z 3))) (+ 1 (+ (* -1 (/ (* x (log y)) z)) (/ (* x (* (log y) (- (* x (log y)) (* -1 (* x (log y)))))) (pow z 2))))) |
(-.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 y) x) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (/.f64 (log.f64 y) z) x #s(literal -1 binary64))) (/.f64 (fma.f64 (neg.f64 x) (log.f64 y) (/.f64 (hypot.f64 (*.f64 (log.f64 y) x) (*.f64 (log.f64 y) x)) z)) z)) |
z |
(* z (+ 1 (/ (* x (log y)) z))) |
(fma.f64 (/.f64 (*.f64 (log.f64 y) x) z) z z) |
(* z (+ 1 (/ (* x (log y)) z))) |
(fma.f64 (/.f64 (*.f64 (log.f64 y) x) z) z z) |
(* z (+ 1 (/ (* x (log y)) z))) |
(fma.f64 (/.f64 (*.f64 (log.f64 y) x) z) z z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ (+ 1 (* -1 (/ (* x (log y)) z))) z) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 y) x) z)) z) |
(/ (- (+ 1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))) (/ (* x (log y)) z)) z) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (log.f64 y) (*.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) z) (*.f64 x x))) z) #s(literal 1 binary64)) 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))) z) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 (log.f64 y) z) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (neg.f64 x) (log.f64 y) (*.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) z) (*.f64 x x))) z) #s(literal 1 binary64))) 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) |
(/.f64 #s(literal -1 binary64) z) |
(* -1 (/ (+ 1 (* -1 (/ (- y (* x (log y))) z))) z)) |
(/.f64 (-.f64 (/.f64 (-.f64 y (*.f64 (log.f64 y) x)) z) #s(literal 1 binary64)) z) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (/ (* (- y (* x (log y))) (- (* x (log y)) y)) z)) (* x (log y))) z))) z)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (log.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) #s(literal 2 binary64)) z) y)) z)) (neg.f64 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)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (log.f64 y) (-.f64 y (/.f64 (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) #s(literal 3 binary64)) z) (pow.f64 (-.f64 (*.f64 (log.f64 y) x) y) #s(literal 2 binary64))) z))) 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) |
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(+ (log (* -1 (log y))) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (neg.f64 (log.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(*.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 y x) (/.f64 z x)) (log.f64 y))) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(*.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 y x) (/.f64 z x)) (log.f64 y))) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(*.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 y x) (/.f64 z x)) (log.f64 y))) |
(* 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) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(*.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 y x) (/.f64 z x)) (log.f64 y))) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(*.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 y x) (/.f64 z x)) (log.f64 y))) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(*.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 y x) (/.f64 z x)) (log.f64 y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (/ z (log y)) (* -1 (/ z (log y)))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 z (log.f64 y))) x)) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (* z (- (/ z (log y)) (* -1 (/ z (log y))))) (* x (log y)))) (/ z (log y))) (* -1 (/ z (log y)))) x))) |
(+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 z (log.f64 y))) (log.f64 y)) (/.f64 z x) (*.f64 (/.f64 z (log.f64 y)) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (/ z (log y)) (* -1 (/ z (log y))))) (* x (pow (log y) 2)))) (* -1 (/ (* z (- (/ z (log y)) (* -1 (/ z (log y))))) (log y)))) x)) (/ z (log y))) (* -1 (/ z (log y)))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 z (log.f64 y)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 z (log.f64 y))) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 z (/.f64 z x)) (*.f64 (*.f64 (/.f64 z (log.f64 y)) #s(literal -2 binary64)) (/.f64 z (log.f64 y)))) x)) x)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) (log.f64 y)) x) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) (log.f64 y)) x) |
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) (log.f64 y)) x) |
(+ (log (* -1 (log y))) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (neg.f64 (log.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -1 (log y))) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (neg.f64 (log.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -1 (log y))) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (neg.f64 (log.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -1 (log y))) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (neg.f64 (log.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(/ 1 (* x (log y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)) |
(* -1 (/ (- (/ z (* x (pow (log y) 2))) (/ 1 (log y))) x)) |
(/.f64 (-.f64 (/.f64 z (*.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 z 2) (* x (pow (log y) 3))) (/ z (pow (log y) 2))) x)) (/ 1 (log y))) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (*.f64 (/.f64 z (pow.f64 (log.f64 y) #s(literal 3 binary64))) (/.f64 z x)) (/.f64 z (pow.f64 (log.f64 y) #s(literal 2 binary64)))) x) (/.f64 #s(literal 1 binary64) (log.f64 y))) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* x (pow (log y) 4))) (/ (pow z 2) (pow (log y) 3))) x)) (/ z (pow (log y) 2))) x)) (/ 1 (log y))) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 z) (/.f64 z (pow.f64 (log.f64 y) #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (pow.f64 (log.f64 y) #s(literal 4 binary64)))) (neg.f64 x)) (/.f64 z (pow.f64 (log.f64 y) #s(literal 2 binary64)))) x) (/.f64 #s(literal 1 binary64) (log.f64 y))) x) |
| 5 240× | lower-fma.f32 |
| 5 236× | lower-fma.f64 |
| 4 030× | lower-*.f32 |
| 4 024× | lower-*.f64 |
| 2 772× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 158 |
| 0 | 44 | 134 |
| 1 | 188 | 124 |
| 2 | 1258 | 122 |
| 0 | 9045 | 122 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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) |
(-.f64 (*.f64 (log.f64 y) x) z) |
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
(neg.f64 y) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(log.f64 y) |
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) |
(*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64)) |
(-.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) y) |
(-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) |
(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)) |
(*.f64 (-.f64 (*.f64 (log.f64 y) x) z) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64))) |
(fma.f64 (log.f64 y) x z) |
(log.f64 (*.f64 (log.f64 y) x)) |
(pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (sqrt.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y))) (/.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (sqrt.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)))) |
(*.f64 (/.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (-.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (pow.f64 (-.f64 (hypot.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (*.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal -1 binary64)) (/.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (-.f64 y (-.f64 (*.f64 x (log.f64 y)) z)))) |
(*.f64 (/.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)) (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)) |
(*.f64 (pow.f64 (pow.f64 (hypot.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (hypot.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (*.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (hypot.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (*.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (hypot.f64 z y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (log.f64 y) (-.f64 z y)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (-.f64 z y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (+.f64 (hypot.f64 z y) (*.f64 (*.f64 x (log.f64 y)) (-.f64 z y)))))) |
(*.f64 (neg.f64 (hypot.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)) (/.f64 #s(literal -1 binary64) (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (hypot.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (*.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)))) |
(*.f64 (sqrt.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)) (sqrt.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y))) |
(*.f64 (hypot.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (pow.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x (log.f64 y)) z) y))))) |
(*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (*.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal -1 binary64)) (hypot.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y (-.f64 (*.f64 x (log.f64 y)) z)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 y (-.f64 (*.f64 x (log.f64 y)) z))) |
(*.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (/.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y))) |
(*.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)) |
(pow.f64 (*.f64 (pow.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal -1 binary64)) (pow.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal -1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal -1/4 binary64)) #s(literal -2 binary64)) |
(pow.f64 (hypot.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)) (/.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 y (-.f64 (*.f64 x (log.f64 y)) z))) (/.f64 (*.f64 y y) (-.f64 y (-.f64 (*.f64 x (log.f64 y)) z))))) (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) #s(literal 3 binary64)) (-.f64 (hypot.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (*.f64 (-.f64 (*.f64 x (log.f64 y)) z) y))) (/.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) #s(literal 3 binary64)) (-.f64 (hypot.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (*.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (hypot.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (*.f64 (-.f64 (*.f64 x (log.f64 y)) z) y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (hypot.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (*.f64 (-.f64 (*.f64 x (log.f64 y)) z) y))))) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) #s(literal 3 binary64)) (-.f64 (hypot.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (*.f64 (-.f64 (*.f64 x (log.f64 y)) z) y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (hypot.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (*.f64 (-.f64 (*.f64 x (log.f64 y)) z) y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) z y) (fma.f64 #s(literal -1 binary64) z y))) (-.f64 (*.f64 x (log.f64 y)) (fma.f64 #s(literal -1 binary64) z y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 y (-.f64 (*.f64 x (log.f64 y)) z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)) (/.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y (-.f64 (*.f64 x (log.f64 y)) z))) (/.f64 (*.f64 y y) (-.f64 y (-.f64 (*.f64 x (log.f64 y)) z))) (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)) (/.f64 (*.f64 y y) (-.f64 y (-.f64 (*.f64 x (log.f64 y)) z))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) #s(literal 3 binary64)) (-.f64 (hypot.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (*.f64 (-.f64 (*.f64 x (log.f64 y)) z) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (hypot.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (*.f64 (-.f64 (*.f64 x (log.f64 y)) z) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) #s(literal 3 binary64)) (-.f64 (hypot.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (*.f64 (-.f64 (*.f64 x (log.f64 y)) z) y))) (/.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) #s(literal 3 binary64)) (-.f64 (hypot.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (*.f64 (-.f64 (*.f64 x (log.f64 y)) z) y))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (hypot.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (*.f64 (-.f64 (*.f64 x (log.f64 y)) z) y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (hypot.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (*.f64 (-.f64 (*.f64 x (log.f64 y)) z) y))) (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) #s(literal 3 binary64)) (-.f64 (hypot.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (*.f64 (-.f64 (*.f64 x (log.f64 y)) z) y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (hypot.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (*.f64 (-.f64 (*.f64 x (log.f64 y)) z) y))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 y (-.f64 (*.f64 x (log.f64 y)) z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (hypot.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (*.f64 #s(literal 0 binary64) (-.f64 y (-.f64 (*.f64 x (log.f64 y)) z)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) z y) (fma.f64 #s(literal -1 binary64) z y)) (*.f64 (*.f64 x (log.f64 y)) (fma.f64 #s(literal -1 binary64) z y))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y))) (neg.f64 (pow.f64 (hypot.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal -1/4 binary64)))) |
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(+.f64 (*.f64 (*.f64 z (/.f64 (-.f64 (*.f64 x (log.f64 y)) z) (fma.f64 x (log.f64 y) z))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 x (log.f64 y)) (/.f64 (-.f64 (*.f64 x (log.f64 y)) z) (fma.f64 x (log.f64 y) z))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 x (log.f64 y)) (/.f64 (-.f64 (*.f64 x (log.f64 y)) z) (fma.f64 x (log.f64 y) z))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64))) (*.f64 (*.f64 z (/.f64 (-.f64 (*.f64 x (log.f64 y)) z) (fma.f64 x (log.f64 y) z))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x (log.f64 y)) z) (fma.f64 x (log.f64 y) z)) z) (pow.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64))) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x (log.f64 y)) z) (fma.f64 x (log.f64 y) z)) (*.f64 x (log.f64 y))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x (log.f64 y)) z) (fma.f64 x (log.f64 y) z)) (*.f64 x (log.f64 y))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64))) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x (log.f64 y)) z) (fma.f64 x (log.f64 y) z)) z) (pow.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (neg.f64 z) (pow.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64))) (*.f64 (*.f64 x (log.f64 y)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 x (log.f64 y)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64))) (*.f64 (neg.f64 z) (pow.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 z (-.f64 z (*.f64 x (log.f64 y)))) (pow.f64 (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3/2 binary64))) #s(literal -1 binary64))) (*.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (pow.f64 (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3/2 binary64))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (pow.f64 (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3/2 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 z (-.f64 z (*.f64 x (log.f64 y)))) (pow.f64 (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3/2 binary64))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 z (/.f64 (-.f64 (*.f64 x (log.f64 y)) z) (fma.f64 x (log.f64 y) z)))) (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 (*.f64 x (log.f64 y)) (/.f64 (-.f64 (*.f64 x (log.f64 y)) z) (fma.f64 x (log.f64 y) z))))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 (*.f64 x (log.f64 y)) (/.f64 (-.f64 (*.f64 x (log.f64 y)) z) (fma.f64 x (log.f64 y) z)))) (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 z (/.f64 (-.f64 (*.f64 x (log.f64 y)) z) (fma.f64 x (log.f64 y) z))))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 x (log.f64 y)) z) (fma.f64 x (log.f64 y) z)) z)) (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 x (log.f64 y)) z) (fma.f64 x (log.f64 y) z)) (*.f64 x (log.f64 y))))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 x (log.f64 y)) z) (fma.f64 x (log.f64 y) z)) (*.f64 x (log.f64 y)))) (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 x (log.f64 y)) z) (fma.f64 x (log.f64 y) z)) z))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 z)) (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 x (log.f64 y)))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 x (log.f64 y))) (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 z))) |
(+.f64 (*.f64 (pow.f64 (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3/2 binary64))) #s(literal -1 binary64)) (*.f64 z (-.f64 z (*.f64 x (log.f64 y))))) (*.f64 (pow.f64 (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3/2 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (pow.f64 (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3/2 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64))) (*.f64 (pow.f64 (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3/2 binary64))) #s(literal -1 binary64)) (*.f64 z (-.f64 z (*.f64 x (log.f64 y)))))) |
Compiled 131 902 to 6 715 computations (94.9% saved)
23 alts after pruning (20 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 680 | 16 | 3 696 |
| Fresh | 5 | 4 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 3 688 | 23 | 3 711 |
| Status | Accuracy | Program |
|---|---|---|
| 56.1% | (fma.f64 (fma.f64 (log.f64 y) x z) (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(approx (pow (+ (* (log y) x) z) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)))) (neg.f64 y)) | |
| 52.1% | (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 1/2 binary64)) (pow.f64 (log.f64 y) #s(literal 1/2 binary64))) x) z) y) #s(literal -1 binary64))) | |
| 31.9% | (/.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))) | |
| 32.4% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)))) | |
| 34.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) z))) | |
| 36.0% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) | |
| 73.6% | (-.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) | |
| ▶ | 98.2% | (-.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) |
| ✓ | 99.9% | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 66.3% | (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) | |
| 68.7% | (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) | |
| 89.2% | (-.f64 #s(approx (- (exp (* (log (* (log y) x)) 1)) z) (*.f64 (fma.f64 (/.f64 (log.f64 y) z) x #s(literal -1 binary64)) z)) y) | |
| 86.9% | (-.f64 #s(approx (- (exp (* (log (* (log y) x)) 1)) z) (*.f64 (-.f64 (log.f64 y) (/.f64 z x)) x)) y) | |
| ▶ | 65.0% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (-.f64 (*.f64 (log.f64 y) x) z)) |
| ▶ | 81.9% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y)) |
| 34.3% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) | |
| 15.5% | #s(approx (- (- (* x (log y)) z) y) (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) #s(literal 2 binary64))) | |
| 2.2% | #s(approx (- (- (* x (log y)) z) y) (/.f64 (*.f64 y y) y)) | |
| 2.2% | #s(approx (- (- (* x (log y)) z) y) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y y)))) | |
| ▶ | 2.2% | #s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))) |
| ✓ | 32.4% | #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) |
| ✓ | 36.1% | #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
| ▶ | 2.2% | #s(approx (- (- (* x (log y)) z) y) y) |
Compiled 464 to 388 computations (16.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) | |
| cost-diff | 0 | (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y)) | |
| cost-diff | 1024 | (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y) | |
| 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 (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (-.f64 (*.f64 (log.f64 y) x) z)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | #s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 1344 | (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | #s(approx (- (- (* x (log y)) z) y) y) | |
| cost-diff | 0 | (pow.f64 (log.f64 y) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | (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))))) | |
| cost-diff | 128 | (-.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) |
| 6 148× | lower-fma.f32 |
| 6 144× | lower-fma.f64 |
| 4 056× | lower-*.f32 |
| 4 044× | lower-*.f64 |
| 2 108× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 251 |
| 0 | 57 | 239 |
| 1 | 103 | 231 |
| 2 | 196 | 231 |
| 3 | 398 | 223 |
| 4 | 1141 | 223 |
| 5 | 3895 | 223 |
| 0 | 8147 | 222 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.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) |
(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))))) |
(*.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) |
x |
(/.f64 x (fma.f64 (log.f64 y) x z)) |
(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)) |
#s(approx (- (- (* x (log y)) z) y) y) |
y |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 y y) |
y |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (-.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 |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y)) |
(*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y) |
(-.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) |
| Outputs |
|---|
(-.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) |
(fma.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 x (log.f64 y) z)) (*.f64 x x) (neg.f64 (fma.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) z y))) |
(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))))) |
(fma.f64 (*.f64 (/.f64 x (fma.f64 x (log.f64 y) z)) x) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (/.f64 z (fma.f64 x (log.f64 y) z)))) |
(*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) |
(*.f64 x (pow.f64 (log.f64 y) #s(literal 2 binary64))) |
(pow.f64 (log.f64 y) #s(literal 2 binary64)) |
(log.f64 y) |
y |
#s(literal 2 binary64) |
x |
(/.f64 x (fma.f64 (log.f64 y) x z)) |
(/.f64 x (fma.f64 x (log.f64 y) z)) |
(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 (neg.f64 z) (/.f64 z (fma.f64 x (log.f64 y) 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)) |
#s(approx (- (- (* x (log y)) z) y) y) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) y) |
y |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) y) |
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)) |
y |
(*.f64 y y) |
y |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (-.f64 (*.f64 (log.f64 y) x) z)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (-.f64 (*.f64 x (log.f64 y)) z)) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 x (log.f64 y)) z) |
(*.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)) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (fma.f64 x (log.f64 y) (-.f64 (neg.f64 y) z))) |
(*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y) |
(fma.f64 x (log.f64 y) (-.f64 (neg.f64 y) z)) |
(-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) |
(-.f64 (/.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) |
(/.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(-.f64 (*.f64 x (log.f64 y)) z) |
(*.f64 (log.f64 y) x) |
(*.f64 x (log.f64 y)) |
(log.f64 y) |
y |
x |
z |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (-.f64 (*.f64 (log.f64 y) x) z) | |
| accuracy | 0.28125 | (*.f64 (log.f64 y) x) | |
| accuracy | 0.5470337760534081 | (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) | |
| accuracy | 11.529250919294801 | (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.015625 | (-.f64 (*.f64 (log.f64 y) x) z) | |
| accuracy | 0.28125 | (*.f64 (log.f64 y) x) | |
| accuracy | 22.297350517524926 | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (-.f64 (*.f64 (log.f64 y) x) z)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 27.507304126319625 | (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 62.59069533774139 | #s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))) | |
| accuracy | 62.59069533774139 | #s(approx (- (- (* x (log y)) z) y) y) | |
| accuracy | 0.34756916127114623 | (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))))) | |
| accuracy | 0.5426750488422102 | (pow.f64 (log.f64 y) #s(literal 2 binary64)) | |
| accuracy | 0.5534587827368163 | (/.f64 z (fma.f64 (log.f64 y) x z)) | |
| accuracy | 0.8670373523347581 | (/.f64 x (fma.f64 (log.f64 y) x z)) |
| 89.0ms | 256× | 0 | valid |
Compiled 234 to 33 computations (85.9% saved)
ival-sub: 30.0ms (42.6% of total)ival-mult: 12.0ms (17.1% of total)ival-div: 8.0ms (11.4% of total)ival-pow: 6.0ms (8.5% of total)ival-log: 4.0ms (5.7% of total)ival-neg: 4.0ms (5.7% of total)ival-pow2: 3.0ms (4.3% of total)ival-add: 2.0ms (2.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.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) (patch (-.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) #<representation:binary64>) () ()) |
#s(alt (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))))) (patch (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))))) #<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 #s(approx (- (- (* x (log y)) z) y) y) (patch #s(approx (- (- (* x (log y)) z) y) y) #<representation:binary64>) () ()) |
#s(alt (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)) #<representation:binary64>) () ()) |
#s(alt #s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))) (patch #s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))) #<representation:binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (-.f64 (*.f64 (log.f64 y) x) z)) (patch #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (-.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 (log.f64 y) (patch (log.f64 y) #<representation:binary64>) () ()) |
#s(alt (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y)) (patch #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y)) #<representation:binary64>) () ()) |
#s(alt (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) (patch (-.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 (/.f64 x (fma.f64 (log.f64 y) x z)) (patch (/.f64 x (fma.f64 (log.f64 y) x z)) #<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 |
|---|
#s(alt (- (* x (log y)) y) (taylor 0 z) (#s(alt (-.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) (patch (-.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) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.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) (patch (-.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) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.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) (patch (-.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) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.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) (patch (-.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) #<representation:binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor 0 z) (#s(alt (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))))) (patch (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))))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (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))))) (patch (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))))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (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))))) (patch (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))))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (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))))) (patch (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))))) #<representation:binary64>) () ())) ()) |
#s(alt (- (* x (log y)) y) (taylor 0 z) (#s(alt #s(approx (- (- (* x (log y)) z) y) y) (patch #s(approx (- (- (* x (log y)) z) y) y) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt #s(approx (- (- (* x (log y)) z) y) y) (patch #s(approx (- (- (* x (log y)) z) y) y) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt #s(approx (- (- (* x (log y)) z) y) y) (patch #s(approx (- (- (* x (log y)) z) y) y) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt #s(approx (- (- (* x (log y)) z) y) y) (patch #s(approx (- (- (* x (log y)) z) y) y) #<representation:binary64>) () ())) ()) |
#s(alt (- (* x (log y)) y) (taylor 0 z) (#s(alt #s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))) (patch #s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt #s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))) (patch #s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt #s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))) (patch #s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt #s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))) (patch #s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))) #<representation:binary64>) () ())) ()) |
#s(alt (- (* x (log y)) y) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (-.f64 (*.f64 (log.f64 y) x) z)) (patch #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (-.f64 (*.f64 (log.f64 y) x) 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)) (-.f64 (*.f64 (log.f64 y) x) z)) (patch #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (-.f64 (*.f64 (log.f64 y) x) 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)) (-.f64 (*.f64 (log.f64 y) x) z)) (patch #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (-.f64 (*.f64 (log.f64 y) x) 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)) (-.f64 (*.f64 (log.f64 y) x) z)) (patch #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (-.f64 (*.f64 (log.f64 y) x) z)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 (log.f64 y) x) z) (patch (-.f64 (*.f64 (log.f64 y) x) z) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (log.f64 y) x) z) (patch (-.f64 (*.f64 (log.f64 y) x) z) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (log.f64 y) x) z) (patch (-.f64 (*.f64 (log.f64 y) x) z) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (log.f64 y) x) z) (patch (-.f64 (*.f64 (log.f64 y) x) z) #<representation:binary64>) () ())) ()) |
#s(alt (* y (- (/ (* x (log y)) y) 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* y (- (/ (* x (log y)) y) 1))) (taylor 0 z) (#s(alt (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* y (- (/ (* x (log y)) y) 1))) (taylor 0 z) (#s(alt (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* y (- (/ (* x (log y)) y) 1))) (taylor 0 z) (#s(alt (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y) #<representation:binary64>) () ())) ()) |
#s(alt (- (* x (log y)) y) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y)) (patch #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y)) #<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)) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y)) (patch #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y)) #<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)) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y)) (patch #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y)) #<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)) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y)) (patch #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y)) #<representation:binary64>) () ())) ()) |
#s(alt (- (/ (* x (log y)) y) 1) (taylor 0 z) (#s(alt (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ z y)) (/ (* x (log y)) y)) 1) (taylor 0 z) (#s(alt (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ z y)) (/ (* x (log y)) y)) 1) (taylor 0 z) (#s(alt (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ z y)) (/ (* x (log y)) y)) 1) (taylor 0 z) (#s(alt (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x (log y)) y) (taylor 0 z) (#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 (+ (* -1 (/ z y)) (/ (* x (log y)) y)) (taylor 0 z) (#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 (+ (* -1 (/ z y)) (/ (* x (log y)) y)) (taylor 0 z) (#s(alt (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) (patch (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #<representation:binary64>) () ())) ()) |
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#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 | |
|---|---|---|---|---|
| 59.0ms | z | @ | inf | ((- (+ (* (* (pow (log y) 2) x) (/ x (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (+ (* (* (pow (log y) 2) x) (/ x (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (* (pow (log y) 2) x) (pow (log y) 2) (- (- (* x (log y)) z) y) (* (* y y) (/ 1 y)) (- (- (* x (log y)) z) y) (* y y) (/ 1 y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (- (* (log y) x) z) (* (log y) x) (log y) (* (- (/ (- (* (log y) x) z) y) 1) y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (- (/ (- (* (log y) x) z) y) 1) (/ (- (* (log y) x) z) y) (/ x (+ (* (log y) x) z)) (/ z (+ (* (log y) x) z))) |
| 19.0ms | y | @ | -inf | ((- (+ (* (* (pow (log y) 2) x) (/ x (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (+ (* (* (pow (log y) 2) x) (/ x (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (* (pow (log y) 2) x) (pow (log y) 2) (- (- (* x (log y)) z) y) (* (* y y) (/ 1 y)) (- (- (* x (log y)) z) y) (* y y) (/ 1 y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (- (* (log y) x) z) (* (log y) x) (log y) (* (- (/ (- (* (log y) x) z) y) 1) y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (- (/ (- (* (log y) x) z) y) 1) (/ (- (* (log y) x) z) y) (/ x (+ (* (log y) x) z)) (/ z (+ (* (log y) x) z))) |
| 18.0ms | y | @ | inf | ((- (+ (* (* (pow (log y) 2) x) (/ x (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (+ (* (* (pow (log y) 2) x) (/ x (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (* (pow (log y) 2) x) (pow (log y) 2) (- (- (* x (log y)) z) y) (* (* y y) (/ 1 y)) (- (- (* x (log y)) z) y) (* y y) (/ 1 y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (- (* (log y) x) z) (* (log y) x) (log y) (* (- (/ (- (* (log y) x) z) y) 1) y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (- (/ (- (* (log y) x) z) y) 1) (/ (- (* (log y) x) z) y) (/ x (+ (* (log y) x) z)) (/ z (+ (* (log y) x) z))) |
| 17.0ms | x | @ | 0 | ((- (+ (* (* (pow (log y) 2) x) (/ x (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (+ (* (* (pow (log y) 2) x) (/ x (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (* (pow (log y) 2) x) (pow (log y) 2) (- (- (* x (log y)) z) y) (* (* y y) (/ 1 y)) (- (- (* x (log y)) z) y) (* y y) (/ 1 y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (- (* (log y) x) z) (* (log y) x) (log y) (* (- (/ (- (* (log y) x) z) y) 1) y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (- (/ (- (* (log y) x) z) y) 1) (/ (- (* (log y) x) z) y) (/ x (+ (* (log y) x) z)) (/ z (+ (* (log y) x) z))) |
| 12.0ms | x | @ | -inf | ((- (+ (* (* (pow (log y) 2) x) (/ x (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (+ (* (* (pow (log y) 2) x) (/ x (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (* (pow (log y) 2) x) (pow (log y) 2) (- (- (* x (log y)) z) y) (* (* y y) (/ 1 y)) (- (- (* x (log y)) z) y) (* y y) (/ 1 y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (- (* (log y) x) z) (* (log y) x) (log y) (* (- (/ (- (* (log y) x) z) y) 1) y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (- (/ (- (* (log y) x) z) y) 1) (/ (- (* (log y) x) z) y) (/ x (+ (* (log y) x) z)) (/ z (+ (* (log y) x) z))) |
| 1× | egg-herbie |
| 8 742× | lower-fma.f64 |
| 8 742× | lower-fma.f32 |
| 5 096× | lower-*.f64 |
| 5 096× | lower-*.f32 |
| 2 478× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 459 | 6006 |
| 1 | 1494 | 5584 |
| 2 | 4753 | 5523 |
| 0 | 9027 | 5351 |
| 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))) |
(- (* 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) |
(* x (log y)) |
(+ (* -1 z) (* x (log y))) |
(+ (* -1 z) (* x (log y))) |
(+ (* -1 z) (* x (log y))) |
(* y (- (/ (* x (log y)) y) 1)) |
(+ (* -1 z) (* y (- (/ (* x (log y)) y) 1))) |
(+ (* -1 z) (* y (- (/ (* x (log y)) y) 1))) |
(+ (* -1 z) (* y (- (/ (* x (log y)) y) 1))) |
(- (* 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) |
(- (+ (* -1 (/ z y)) (/ (* x (log y)) y)) 1) |
(- (+ (* -1 (/ z y)) (/ (* x (log y)) y)) 1) |
(- (+ (* -1 (/ z y)) (/ (* x (log y)) y)) 1) |
(/ (* x (log y)) y) |
(+ (* -1 (/ z y)) (/ (* x (log y)) y)) |
(+ (* -1 (/ z y)) (/ (* x (log y)) y)) |
(+ (* -1 (/ z y)) (/ (* x (log y)) y)) |
(/ 1 (log y)) |
(+ (* -1 (/ z (* x (pow (log y) 2)))) (/ 1 (log y))) |
(+ (* z (- (/ z (* (pow x 2) (pow (log y) 3))) (/ 1 (* x (pow (log y) 2))))) (/ 1 (log y))) |
(+ (* z (- (* z (+ (* -1 (/ z (* (pow x 3) (pow (log y) 4)))) (/ 1 (* (pow x 2) (pow (log y) 3))))) (/ 1 (* x (pow (log y) 2))))) (/ 1 (log 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))))) |
(* 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 (- (+ (* -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)))) |
(* -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 (- (/ (* 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 (/ 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 (- (/ (* y (- (/ (* x (log y)) y) 1)) z) 1)) |
(* z (- (/ (* y (- (/ (* x (log y)) y) 1)) z) 1)) |
(* z (- (/ (* y (- (/ (* x (log y)) y) 1)) 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 (- (/ (* x (log y)) (* y z)) (+ (/ 1 y) (/ 1 z)))) |
(* z (- (/ (* x (log y)) (* y z)) (+ (/ 1 y) (/ 1 z)))) |
(* z (- (/ (* x (log y)) (* y z)) (+ (/ 1 y) (/ 1 z)))) |
(* -1 (/ z y)) |
(* z (- (/ (* x (log y)) (* y z)) (/ 1 y))) |
(* z (- (/ (* x (log y)) (* y z)) (/ 1 y))) |
(* z (- (/ (* x (log y)) (* y z)) (/ 1 y))) |
(/ x z) |
(/ (+ x (* -1 (/ (* (pow x 2) (log y)) z))) z) |
(/ (- (+ x (/ (* (pow x 3) (pow (log y) 2)) (pow z 2))) (/ (* (pow x 2) (log y)) z)) z) |
(/ (- (+ x (* -1 (/ (* (pow x 4) (pow (log y) 3)) (pow z 3)))) (+ (* -1 (/ (* (pow x 3) (pow (log y) 2)) (pow z 2))) (/ (* (pow x 2) (log y)) 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 (/ (- (+ (* -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))))) |
(* -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 (/ (- (* 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)) 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 (/ (* y (- (/ (* x (log y)) y) 1)) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (* y (- (/ (* x (log y)) y) 1)) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (* y (- (/ (* x (log y)) y) 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 y)) |
(* -1 (* z (+ (* -1 (/ (- (/ (* x (log y)) y) 1) z)) (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ (- (/ (* x (log y)) y) 1) z)) (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ (- (/ (* x (log y)) y) 1) z)) (/ 1 y)))) |
(* -1 (/ z y)) |
(* -1 (* z (+ (* -1 (/ (* x (log y)) (* y z))) (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ (* x (log y)) (* y z))) (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ (* x (log y)) (* y z))) (/ 1 y)))) |
(/ x z) |
(* -1 (/ (+ (* -1 x) (/ (* (pow x 2) (log y)) z)) z)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (* (pow x 3) (pow (log y) 2)) z) (* (pow x 2) (log y))) z))) z)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 4) (pow (log y) 3)) z) (* (pow x 3) (pow (log y) 2))) z)) (* (pow x 2) (log y))) 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))) |
(- (/ (* (pow x 2) (pow (log y) 2)) (+ z (* x (log y)))) (/ (pow z 2) (+ z (* x (log y))))) |
(- (+ (* -1 y) (/ (* (pow x 2) (pow (log y) 2)) (+ z (* x (log y))))) (/ (pow z 2) (+ z (* x (log y))))) |
(- (+ (* -1 y) (/ (* (pow x 2) (pow (log y) 2)) (+ z (* x (log y))))) (/ (pow z 2) (+ z (* x (log y))))) |
(- (+ (* -1 y) (/ (* (pow x 2) (pow (log y) 2)) (+ z (* x (log y))))) (/ (pow z 2) (+ z (* x (log y))))) |
(- (/ (* (pow x 2) (pow (log y) 2)) (+ z (* x (log y)))) (/ (pow z 2) (+ z (* x (log y))))) |
(- (/ (* (pow x 2) (pow (log y) 2)) (+ z (* x (log y)))) (/ (pow z 2) (+ z (* x (log y))))) |
(- (/ (* (pow x 2) (pow (log y) 2)) (+ z (* x (log y)))) (/ (pow z 2) (+ z (* x (log y))))) |
(- (/ (* (pow x 2) (pow (log y) 2)) (+ z (* x (log y)))) (/ (pow z 2) (+ z (* x (log y))))) |
(* x (pow (log y) 2)) |
(* x (pow (log y) 2)) |
(* x (pow (log y) 2)) |
(* x (pow (log y) 2)) |
(pow (log y) 2) |
(pow (log y) 2) |
(pow (log y) 2) |
(pow (log y) 2) |
(- (* x (log y)) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(- (+ (* -1 y) (* x (log y))) z) |
y |
y |
y |
y |
(- (* x (log y)) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 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)) |
(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) y) |
(/ (- (+ (* -1 y) (* x (log y))) z) y) |
(/ (- (+ (* -1 y) (* x (log y))) z) y) |
(/ (- (+ (* -1 y) (* x (log y))) z) y) |
(/ (- (* x (log y)) z) y) |
(/ (- (* x (log y)) z) y) |
(/ (- (* x (log y)) z) y) |
(/ (- (* x (log y)) z) y) |
(/ x (+ z (* x (log y)))) |
(/ x (+ z (* x (log y)))) |
(/ x (+ z (* x (log y)))) |
(/ x (+ z (* x (log y)))) |
(/ z (+ z (* x (log y)))) |
(/ z (+ z (* x (log y)))) |
(/ z (+ z (* x (log y)))) |
(/ z (+ z (* x (log y)))) |
(* -1 y) |
(* y (- (/ (* (pow x 2) (pow (log (/ 1 y)) 2)) (* y (+ z (* -1 (* x (log (/ 1 y))))))) (+ 1 (/ (pow z 2) (* y (+ z (* -1 (* x (log (/ 1 y)))))))))) |
(* y (- (/ (* (pow x 2) (pow (log (/ 1 y)) 2)) (* y (+ z (* -1 (* x (log (/ 1 y))))))) (+ 1 (/ (pow z 2) (* y (+ z (* -1 (* x (log (/ 1 y)))))))))) |
(* y (- (/ (* (pow x 2) (pow (log (/ 1 y)) 2)) (* y (+ z (* -1 (* x (log (/ 1 y))))))) (+ 1 (/ (pow z 2) (* y (+ z (* -1 (* x (log (/ 1 y)))))))))) |
(- (/ (* (pow x 2) (pow (log (/ 1 y)) 2)) (+ z (* -1 (* x (log (/ 1 y)))))) (/ (pow z 2) (+ z (* -1 (* x (log (/ 1 y))))))) |
(- (/ (* (pow x 2) (pow (log (/ 1 y)) 2)) (+ z (* -1 (* x (log (/ 1 y)))))) (/ (pow z 2) (+ z (* -1 (* x (log (/ 1 y))))))) |
(- (/ (* (pow x 2) (pow (log (/ 1 y)) 2)) (+ z (* -1 (* x (log (/ 1 y)))))) (/ (pow z 2) (+ z (* -1 (* x (log (/ 1 y))))))) |
(- (/ (* (pow x 2) (pow (log (/ 1 y)) 2)) (+ z (* -1 (* x (log (/ 1 y)))))) (/ (pow z 2) (+ z (* -1 (* x (log (/ 1 y))))))) |
(* x (pow (log (/ 1 y)) 2)) |
(* x (pow (log (/ 1 y)) 2)) |
(* x (pow (log (/ 1 y)) 2)) |
(* x (pow (log (/ 1 y)) 2)) |
(pow (log (/ 1 y)) 2) |
(pow (log (/ 1 y)) 2) |
(pow (log (/ 1 y)) 2) |
(pow (log (/ 1 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)))) |
y |
y |
y |
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)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 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 (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 |
(- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y))) |
(- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y))) |
(- (* -1 (/ (* x (log (/ 1 y))) y)) (+ 1 (/ z y))) |
(/ (- (* -1 (* x (log (/ 1 y)))) z) y) |
(/ (- (* -1 (* x (log (/ 1 y)))) z) y) |
(/ (- (* -1 (* x (log (/ 1 y)))) z) y) |
(/ (- (* -1 (* x (log (/ 1 y)))) z) y) |
(/ x (+ z (* -1 (* x (log (/ 1 y)))))) |
(/ x (+ z (* -1 (* x (log (/ 1 y)))))) |
(/ x (+ z (* -1 (* x (log (/ 1 y)))))) |
(/ x (+ z (* -1 (* x (log (/ 1 y)))))) |
(/ z (+ z (* -1 (* x (log (/ 1 y)))))) |
(/ z (+ z (* -1 (* x (log (/ 1 y)))))) |
(/ z (+ z (* -1 (* x (log (/ 1 y)))))) |
(/ z (+ z (* -1 (* x (log (/ 1 y)))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (- (/ (* (pow x 2) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) (+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))) (/ (pow z 2) (+ z (* x (+ (log -1) (* -1 (log (/ -1 y)))))))) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- (/ (* (pow x 2) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) (+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))) (/ (pow z 2) (+ z (* x (+ (log -1) (* -1 (log (/ -1 y)))))))) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- (/ (* (pow x 2) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) (+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))) (/ (pow z 2) (+ z (* x (+ (log -1) (* -1 (log (/ -1 y)))))))) y))))) |
(- (/ (* (pow x 2) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) (+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))) (/ (pow z 2) (+ z (* x (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(- (/ (* (pow x 2) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) (+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))) (/ (pow z 2) (+ z (* x (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(- (/ (* (pow x 2) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) (+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))) (/ (pow z 2) (+ z (* x (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(- (/ (* (pow x 2) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) (+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))) (/ (pow z 2) (+ z (* x (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(* x (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) |
(* x (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) |
(* x (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) |
(* x (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) |
(pow (+ (log -1) (* -1 (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))))) |
y |
y |
y |
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))))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 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) |
(* -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))))) |
-1 |
(- (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) y) (+ 1 (/ z y))) |
(- (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) y) (+ 1 (/ z y))) |
(- (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) y) (+ 1 (/ z y))) |
(/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y) |
(/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y) |
(/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y) |
(/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) y) |
(/ x (+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))) |
(/ x (+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))) |
(/ x (+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))) |
(/ x (+ 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))))))) |
(/ z (+ z (* x (+ (log -1) (* -1 (log (/ -1 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)) |
(* 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 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) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* -1 (* y (+ 1 (/ z y)))) |
(+ (* -1 (* y (+ 1 (/ z y)))) (* x (log y))) |
(+ (* -1 (* y (+ 1 (/ z y)))) (* x (log y))) |
(+ (* -1 (* y (+ 1 (/ z y)))) (* x (log y))) |
(* -1 (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(* -1 (+ 1 (/ z y))) |
(- (/ (* x (log y)) y) (+ 1 (/ z y))) |
(- (/ (* x (log y)) y) (+ 1 (/ z y))) |
(- (/ (* x (log y)) y) (+ 1 (/ z y))) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ (* x (log y)) y)) |
(+ (* -1 (/ z y)) (/ (* x (log y)) y)) |
(+ (* -1 (/ z y)) (/ (* x (log y)) y)) |
(/ x z) |
(* x (+ (* -1 (/ (* x (log y)) (pow z 2))) (/ 1 z))) |
(* x (+ (* x (- (/ (* x (pow (log y) 2)) (pow z 3)) (/ (log y) (pow z 2)))) (/ 1 z))) |
(* x (+ (* x (- (* x (- (* -1 (/ (* x (pow (log y) 3)) (pow z 4))) (* -1 (/ (pow (log y) 2) (pow z 3))))) (/ (log y) (pow z 2)))) (/ 1 z))) |
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) (* -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))) |
(* 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 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)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ (* y (+ 1 (/ z y))) x)))) |
(* x (+ (log y) (* -1 (/ (* y (+ 1 (/ z y))) x)))) |
(* x (+ (log y) (* -1 (/ (* y (+ 1 (/ z 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)) y) |
(* x (+ (* -1 (/ (+ 1 (/ z y)) x)) (/ (log y) y))) |
(* x (+ (* -1 (/ (+ 1 (/ z y)) x)) (/ (log y) y))) |
(* x (+ (* -1 (/ (+ 1 (/ z y)) x)) (/ (log y) y))) |
(/ (* x (log y)) y) |
(* x (+ (* -1 (/ z (* x y))) (/ (log y) y))) |
(* x (+ (* -1 (/ z (* x y))) (/ (log y) y))) |
(* x (+ (* -1 (/ z (* x y))) (/ (log y) y))) |
(/ 1 (log y)) |
(+ (* -1 (/ z (* x (pow (log y) 2)))) (/ 1 (log y))) |
(- (+ (/ 1 (log y)) (/ (pow z 2) (* (pow x 2) (pow (log y) 3)))) (/ z (* x (pow (log y) 2)))) |
(- (+ (* -1 (/ (pow z 3) (* (pow x 3) (pow (log y) 4)))) (/ 1 (log y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) (pow (log y) 3)))) (/ z (* x (pow (log y) 2))))) |
(/ 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)) |
(* -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))))) |
(* 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) (/ 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)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (/ (* y (+ 1 (/ z y))) x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ (* y (+ 1 (/ z y))) x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ (* y (+ 1 (/ z 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)) y) |
(* -1 (* x (+ (* -1 (/ (log y) y)) (+ (/ 1 x) (/ z (* x y)))))) |
(* -1 (* x (+ (* -1 (/ (log y) y)) (+ (/ 1 x) (/ z (* x y)))))) |
(* -1 (* x (+ (* -1 (/ (log y) y)) (+ (/ 1 x) (/ z (* x y)))))) |
(/ (* x (log y)) y) |
(* -1 (* x (+ (* -1 (/ (log y) y)) (/ z (* x y))))) |
(* -1 (* x (+ (* -1 (/ (log y) y)) (/ z (* x y))))) |
(* -1 (* x (+ (* -1 (/ (log y) y)) (/ z (* x y))))) |
(/ 1 (log y)) |
(+ (* -1 (/ z (* x (pow (log y) 2)))) (/ 1 (log y))) |
(+ (* -1 (/ (- (* -1 (/ (pow z 2) (* x (pow (log y) 3)))) (* -1 (/ z (pow (log y) 2)))) x)) (/ 1 (log y))) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x (pow (log y) 4)))) (* -1 (/ (pow z 2) (pow (log y) 3)))) x)) (* -1 (/ z (pow (log y) 2)))) x)) (/ 1 (log y))) |
(/ 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) |
(* 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) |
(- (* 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) |
(* y (- (/ (* x (log y)) y) 1)) |
(*.f64 (fma.f64 (/.f64 (log.f64 y) y) x #s(literal -1 binary64)) y) |
(+ (* -1 z) (* y (- (/ (* x (log y)) y) 1))) |
(fma.f64 (fma.f64 (/.f64 (log.f64 y) y) x #s(literal -1 binary64)) y (neg.f64 z)) |
(+ (* -1 z) (* y (- (/ (* x (log y)) y) 1))) |
(fma.f64 (fma.f64 (/.f64 (log.f64 y) y) x #s(literal -1 binary64)) y (neg.f64 z)) |
(+ (* -1 z) (* y (- (/ (* x (log y)) y) 1))) |
(fma.f64 (fma.f64 (/.f64 (log.f64 y) y) x #s(literal -1 binary64)) y (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) 1) |
(fma.f64 (/.f64 (log.f64 y) y) x #s(literal -1 binary64)) |
(- (+ (* -1 (/ z y)) (/ (* x (log y)) y)) 1) |
(/.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) y) |
(- (+ (* -1 (/ z y)) (/ (* x (log y)) y)) 1) |
(/.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) y) |
(- (+ (* -1 (/ z y)) (/ (* x (log y)) y)) 1) |
(/.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) y) |
(/ (* x (log y)) y) |
(/.f64 (*.f64 (log.f64 y) x) y) |
(+ (* -1 (/ z y)) (/ (* x (log y)) y)) |
(/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) |
(+ (* -1 (/ z y)) (/ (* x (log y)) y)) |
(/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) |
(+ (* -1 (/ z y)) (/ (* x (log y)) y)) |
(/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) |
(/ 1 (log y)) |
(/.f64 #s(literal 1 binary64) (log.f64 y)) |
(+ (* -1 (/ z (* x (pow (log y) 2)))) (/ 1 (log y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 z (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x))) |
(+ (* z (- (/ z (* (pow x 2) (pow (log y) 3))) (/ 1 (* x (pow (log y) 2))))) (/ 1 (log y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 (fma.f64 (/.f64 z (pow.f64 (log.f64 y) #s(literal 3 binary64))) (/.f64 z (neg.f64 x)) (/.f64 z (pow.f64 (log.f64 y) #s(literal 2 binary64)))) x)) |
(+ (* z (- (* z (+ (* -1 (/ z (* (pow x 3) (pow (log y) 4)))) (/ 1 (* (pow x 2) (pow (log y) 3))))) (/ 1 (* x (pow (log y) 2))))) (/ 1 (log y))) |
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 4 binary64)))) (/.f64 (fma.f64 (/.f64 z (pow.f64 (log.f64 y) #s(literal 3 binary64))) (/.f64 z (neg.f64 x)) (/.f64 z (pow.f64 (log.f64 y) #s(literal 2 binary64)))) x)) |
(/ z (* x (log y))) |
(/.f64 (/.f64 z (log.f64 y)) x) |
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(fma.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 y) z) #s(literal 3 binary64)) (neg.f64 x) (/.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) z) z)) x (/.f64 (neg.f64 (log.f64 y)) z)) x #s(literal 1 binary64)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* x (- (+ (log y) (* -1 (/ (+ (* -1 (/ (pow z 2) (log y))) (/ (pow z 2) (log y))) (pow x 2)))) (+ (/ y x) (/ z x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* x (- (+ (log y) (* -1 (/ (+ (* -1 (/ (pow z 2) (log y))) (/ (pow z 2) (log y))) (pow x 2)))) (+ (/ y x) (/ z x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (+ (log y) (* -1 (/ z x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 z x)) x) |
(* x (- (+ (log y) (* -1 (/ (+ (* -1 (/ (pow z 2) (log y))) (/ (pow z 2) (log y))) (pow x 2)))) (/ z x))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 z x)) x) |
(* x (- (+ (log y) (* -1 (/ (+ (* -1 (/ (pow z 2) (log y))) (/ (pow z 2) (log y))) (pow x 2)))) (/ z x))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 z 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) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (+ (log y) (* -1 (/ z x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 z x)) x) |
(* x (+ (log y) (* -1 (/ z x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 z x)) x) |
(* x (+ (log y) (* -1 (/ 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) |
(* x (+ (log y) (* -1 (/ (* y (+ 1 (/ z y))) x)))) |
(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 y x) (log.f64 y)) x) |
(* x (+ (log y) (* -1 (/ (* y (+ 1 (/ z y))) x)))) |
(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 y x) (log.f64 y)) x) |
(* x (+ (log y) (* -1 (/ (* y (+ 1 (/ z y))) x)))) |
(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 y x) (log.f64 y)) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(/ (* x (log y)) y) |
(/.f64 (*.f64 (log.f64 y) x) y) |
(* x (+ (* -1 (/ (+ 1 (/ z y)) x)) (/ (log y) y))) |
(*.f64 (-.f64 (/.f64 (log.f64 y) y) (/.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) x)) x) |
(* x (+ (* -1 (/ (+ 1 (/ z y)) x)) (/ (log y) y))) |
(*.f64 (-.f64 (/.f64 (log.f64 y) y) (/.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) x)) x) |
(* x (+ (* -1 (/ (+ 1 (/ z y)) x)) (/ (log y) y))) |
(*.f64 (-.f64 (/.f64 (log.f64 y) y) (/.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) x)) x) |
(/ (* x (log y)) y) |
(/.f64 (*.f64 (log.f64 y) x) y) |
(* x (+ (* -1 (/ z (* x y))) (/ (log y) y))) |
(*.f64 (-.f64 (/.f64 (log.f64 y) y) (/.f64 (/.f64 z x) y)) x) |
(* x (+ (* -1 (/ z (* x y))) (/ (log y) y))) |
(*.f64 (-.f64 (/.f64 (log.f64 y) y) (/.f64 (/.f64 z x) y)) x) |
(* x (+ (* -1 (/ z (* x y))) (/ (log y) y))) |
(*.f64 (-.f64 (/.f64 (log.f64 y) y) (/.f64 (/.f64 z x) y)) x) |
(/ 1 (log y)) |
(/.f64 #s(literal 1 binary64) (log.f64 y)) |
(+ (* -1 (/ z (* x (pow (log y) 2)))) (/ 1 (log y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 z (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x))) |
(- (+ (/ 1 (log y)) (/ (pow z 2) (* (pow x 2) (pow (log y) 3)))) (/ z (* x (pow (log y) 2)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 (fma.f64 (/.f64 z (pow.f64 (log.f64 y) #s(literal 3 binary64))) (/.f64 z (neg.f64 x)) (/.f64 z (pow.f64 (log.f64 y) #s(literal 2 binary64)))) x)) |
(- (+ (* -1 (/ (pow z 3) (* (pow x 3) (pow (log y) 4)))) (/ 1 (log y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) (pow (log y) 3)))) (/ z (* x (pow (log y) 2))))) |
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 4 binary64)))) (/.f64 (fma.f64 (/.f64 z (pow.f64 (log.f64 y) #s(literal 3 binary64))) (/.f64 z (neg.f64 x)) (/.f64 z (pow.f64 (log.f64 y) #s(literal 2 binary64)))) x)) |
(/ z (* x (log y))) |
(/.f64 (/.f64 z (log.f64 y)) x) |
(/ (+ (* -1 (/ (pow z 2) (* x (pow (log y) 2)))) (/ z (log y))) x) |
(/.f64 (fma.f64 (neg.f64 z) (/.f64 z (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x)) (/.f64 z (log.f64 y))) x) |
(/ (- (+ (/ z (log y)) (/ (pow z 3) (* (pow x 2) (pow (log y) 3)))) (/ (pow z 2) (* x (pow (log y) 2)))) 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 (/ (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) |
(/.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 (/.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)) (* -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) |
(* 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 (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) |
(* 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 (+ 1 (/ z y))) x)))) |
(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 y x) (log.f64 y)) x) |
(* -1 (* x (+ (* -1 (log y)) (/ (* y (+ 1 (/ z y))) x)))) |
(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 y x) (log.f64 y)) x) |
(* -1 (* x (+ (* -1 (log y)) (/ (* y (+ 1 (/ z y))) x)))) |
(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 y x) (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)) y) |
(/.f64 (*.f64 (log.f64 y) x) y) |
(* -1 (* x (+ (* -1 (/ (log y) y)) (+ (/ 1 x) (/ z (* x y)))))) |
(neg.f64 (fma.f64 (-.f64 (/.f64 (/.f64 z x) y) (/.f64 (log.f64 y) y)) x #s(literal 1 binary64))) |
(* -1 (* x (+ (* -1 (/ (log y) y)) (+ (/ 1 x) (/ z (* x y)))))) |
(neg.f64 (fma.f64 (-.f64 (/.f64 (/.f64 z x) y) (/.f64 (log.f64 y) y)) x #s(literal 1 binary64))) |
(* -1 (* x (+ (* -1 (/ (log y) y)) (+ (/ 1 x) (/ z (* x y)))))) |
(neg.f64 (fma.f64 (-.f64 (/.f64 (/.f64 z x) y) (/.f64 (log.f64 y) y)) x #s(literal 1 binary64))) |
(/ (* x (log y)) y) |
(/.f64 (*.f64 (log.f64 y) x) y) |
(* -1 (* x (+ (* -1 (/ (log y) y)) (/ z (* x y))))) |
(*.f64 (-.f64 (/.f64 (log.f64 y) y) (/.f64 (/.f64 z x) y)) x) |
(* -1 (* x (+ (* -1 (/ (log y) y)) (/ z (* x y))))) |
(*.f64 (-.f64 (/.f64 (log.f64 y) y) (/.f64 (/.f64 z x) y)) x) |
(* -1 (* x (+ (* -1 (/ (log y) y)) (/ z (* x y))))) |
(*.f64 (-.f64 (/.f64 (log.f64 y) y) (/.f64 (/.f64 z x) y)) x) |
(/ 1 (log y)) |
(/.f64 #s(literal 1 binary64) (log.f64 y)) |
(+ (* -1 (/ z (* x (pow (log y) 2)))) (/ 1 (log y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 z (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x))) |
(+ (* -1 (/ (- (* -1 (/ (pow z 2) (* x (pow (log y) 3)))) (* -1 (/ z (pow (log y) 2)))) x)) (/ 1 (log y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 (fma.f64 (/.f64 z (pow.f64 (log.f64 y) #s(literal 3 binary64))) (/.f64 z (neg.f64 x)) (/.f64 z (pow.f64 (log.f64 y) #s(literal 2 binary64)))) x)) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x (pow (log y) 4)))) (* -1 (/ (pow z 2) (pow (log y) 3)))) x)) (* -1 (/ z (pow (log y) 2)))) x)) (/ 1 (log y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 (-.f64 (/.f64 z (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 z (/.f64 z (pow.f64 (log.f64 y) #s(literal 3 binary64))) (/.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 (log.f64 y) #s(literal 4 binary64))) x)) x)) 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 (neg.f64 z) (/.f64 z (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x)) (/.f64 z (log.f64 y))) 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 (neg.f64 (fma.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))) x))) x) (/.f64 z (log.f64 y))) x) |
| 5 598× | lower-fma.f32 |
| 5 594× | lower-fma.f64 |
| 5 158× | lower-*.f32 |
| 5 146× | lower-*.f64 |
| 4 756× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 199 |
| 0 | 57 | 205 |
| 1 | 234 | 143 |
| 2 | 1572 | 143 |
| 0 | 8424 | 143 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.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) |
(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))))) |
(*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (log.f64 y) #s(literal 2 binary64)) |
#s(approx (- (- (* x (log y)) z) y) y) |
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 y y) |
(/.f64 #s(literal 1 binary64) y) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (-.f64 (*.f64 (log.f64 y) x) z)) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(*.f64 (log.f64 y) x) |
(log.f64 y) |
(*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y)) |
(-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) |
(/.f64 x (fma.f64 (log.f64 y) x z)) |
(/.f64 z (fma.f64 (log.f64 y) x z)) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64)) (*.f64 y y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal -1 binary64))) |
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(-.f64 (*.f64 x (log.f64 y)) z) |
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y |
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(*.f64 y y) |
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(-.f64 (/.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 y (fma.f64 x (log.f64 y) z))) (/.f64 (*.f64 z z) (*.f64 y (fma.f64 x (log.f64 y) z)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)) (*.f64 y (fma.f64 z (fma.f64 x (log.f64 y) z) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 y (fma.f64 z (fma.f64 x (log.f64 y) z) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (-.f64 (*.f64 x (log.f64 y)) z) (neg.f64 y))) |
(-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (fma.f64 x (log.f64 y) z)) #s(literal 0 binary64)) y) (/.f64 (*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) z) y)) |
(-.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 4 binary64)) (pow.f64 (fma.f64 x (log.f64 y) z) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 (neg.f64 z) z)) (fma.f64 x (log.f64 y) z))) y) (/.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) z) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 (neg.f64 z) z)) (fma.f64 x (log.f64 y) z))) y)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)) (fma.f64 z (fma.f64 x (log.f64 y) z) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)))) y) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 x (log.f64 y) z) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)))) y)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (fma.f64 x (log.f64 y) z)) y) (/.f64 (*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) z) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64))) (fma.f64 x (log.f64 y) z)) y)) |
(-.f64 (/.f64 (*.f64 x (log.f64 y)) y) (/.f64 z y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 (*.f64 x (log.f64 y)) z))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 x (log.f64 y)) y) (neg.f64 (/.f64 z y))) |
(*.f64 (/.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (fma.f64 z (fma.f64 x (log.f64 y) z) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)))) (pow.f64 (fma.f64 x (log.f64 y) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z))) (-.f64 (*.f64 x (log.f64 y)) z)) |
(*.f64 (/.f64 x (hypot.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (hypot.f64 (*.f64 x (log.f64 y)) z) (*.f64 (*.f64 x (log.f64 y)) z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (hypot.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64)))) (-.f64 (hypot.f64 (*.f64 x (log.f64 y)) z) (*.f64 (*.f64 x (log.f64 y)) z))) |
(*.f64 (pow.f64 (fma.f64 x (log.f64 y) z) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x (log.f64 y) z) #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 (fma.f64 x (log.f64 y) z)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x (log.f64 y) z))) |
(*.f64 x (pow.f64 (fma.f64 x (log.f64 y) z) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (fma.f64 x (log.f64 y) z) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (log.f64 y) z) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (log.f64 y) z))))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (fma.f64 x (log.f64 y) z))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 x (log.f64 y) z)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (fma.f64 x (log.f64 y) z)))) |
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 x (log.f64 y) z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 x (log.f64 y) z) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (log.f64 y) z) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x (log.f64 y) z) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x (log.f64 y) z) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (log.f64 y) z) x)) |
(/.f64 x (fma.f64 x (log.f64 y) z)) |
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 x (log.f64 y) z))) |
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x (log.f64 y) z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (log.f64 y) z))) (/.f64 x (neg.f64 (fma.f64 x (log.f64 y) z)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x (log.f64 y) z) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 z (/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (fma.f64 z (fma.f64 x (log.f64 y) z) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 z (/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)))) (pow.f64 (fma.f64 x (log.f64 y) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 z (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 z (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z))) (-.f64 (*.f64 x (log.f64 y)) z)) |
(*.f64 (/.f64 z (hypot.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (hypot.f64 (*.f64 x (log.f64 y)) z) (*.f64 (*.f64 x (log.f64 y)) z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 z (hypot.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64)))) (-.f64 (hypot.f64 (*.f64 x (log.f64 y)) z) (*.f64 (*.f64 x (log.f64 y)) z))) |
(*.f64 (pow.f64 (fma.f64 x (log.f64 y) z) #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x (log.f64 y) z) #s(literal -1 binary64)) z) |
(*.f64 (neg.f64 z) (pow.f64 (neg.f64 (fma.f64 x (log.f64 y) z)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 x (log.f64 y) z))) |
(*.f64 z (pow.f64 (fma.f64 x (log.f64 y) z) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (fma.f64 x (log.f64 y) z) z) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (log.f64 y) z) z) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 (fma.f64 x (log.f64 y) z))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (log.f64 y) z))))) |
(/.f64 (*.f64 z #s(literal 1 binary64)) (fma.f64 x (log.f64 y) z)) |
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 (fma.f64 x (log.f64 y) z)))) |
(/.f64 (neg.f64 z) (neg.f64 (fma.f64 x (log.f64 y) z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 x (log.f64 y) z) z) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (log.f64 y) z) z))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x (log.f64 y) z) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x (log.f64 y) z) z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (log.f64 y) z) z)) |
(/.f64 z (fma.f64 x (log.f64 y) z)) |
(neg.f64 (/.f64 (neg.f64 z) (fma.f64 x (log.f64 y) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (log.f64 y) z))) (/.f64 (neg.f64 z) (fma.f64 x (log.f64 y) z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x (log.f64 y) z) z)) #s(literal -1 binary64))) |
Compiled 67 082 to 5 213 computations (92.2% saved)
27 alts after pruning (21 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 094 | 11 | 2 105 |
| Fresh | 5 | 10 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 2 101 | 27 | 2 128 |
| Status | Accuracy | Program |
|---|---|---|
| 32.2% | (pow.f64 (pow.f64 (fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y)) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| 52.1% | (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 1/2 binary64)) (pow.f64 (log.f64 y) #s(literal 1/2 binary64))) x) z) y) #s(literal -1 binary64))) | |
| 31.9% | (/.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))) | |
| ▶ | 32.4% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)))) |
| 34.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) z))) | |
| ▶ | 36.0% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) |
| ▶ | 97.0% | (-.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 #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) |
| ✓ | 99.9% | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| ▶ | 66.3% | (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) |
| 68.7% | (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) | |
| 22.1% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z)) | |
| ✓ | 65.0% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (-.f64 (*.f64 (log.f64 y) x) z)) |
| 58.8% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 #s(approx (- (/ (- (* (log y) x) z) y) 1) (fma.f64 (/.f64 (log.f64 y) y) x #s(literal -1 binary64))) y)) | |
| 24.9% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 #s(approx (- (/ (- (* (log y) x) z) y) 1) (/.f64 (*.f64 (log.f64 y) x) y)) y)) | |
| 24.5% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 #s(approx (- (/ (- (* (log y) x) z) y) 1) (/.f64 (neg.f64 z) y)) y)) | |
| 58.8% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 #s(approx (- (/ (- (* (log y) x) z) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 z y))) y)) | |
| ▶ | 34.3% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) |
| 56.3% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) #s(approx (- (* (log y) x) z) (*.f64 (fma.f64 (/.f64 (log.f64 y) z) x #s(literal -1 binary64)) z))) | |
| 54.6% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) #s(approx (- (* (log y) x) z) (*.f64 (-.f64 (log.f64 y) (/.f64 z x)) x))) | |
| 2.2% | #s(approx (- (- (* x (log y)) z) y) (/.f64 (*.f64 y y) y)) | |
| 2.2% | #s(approx (- (- (* x (log y)) z) y) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y y)))) | |
| 1.4% | #s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 y (*.f64 y y)))) | |
| ✓ | 2.2% | #s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))) |
| 1.4% | #s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y))) | |
| ✓ | 32.4% | #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) |
| ✓ | 36.1% | #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
| ✓ | 2.2% | #s(approx (- (- (* x (log y)) z) y) y) |
Compiled 459 to 423 computations (7.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (log.f64 y) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)) | |
| cost-diff | 0 | #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)))) | |
| 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 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) 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 | (pow.f64 (log.f64 y) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | (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 #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) | |
| cost-diff | 128 | (-.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 #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) |
| 2 184× | lower-fma.f32 |
| 2 180× | lower-fma.f64 |
| 1 240× | lower-*.f32 |
| 1 234× | lower-*.f64 |
| 820× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 252 |
| 0 | 56 | 252 |
| 1 | 90 | 248 |
| 2 | 152 | 248 |
| 3 | 312 | 248 |
| 4 | 672 | 248 |
| 5 | 1296 | 248 |
| 6 | 1969 | 248 |
| 7 | 3539 | 248 |
| 8 | 3828 | 248 |
| 9 | 3889 | 248 |
| 10 | 3928 | 248 |
| 11 | 3938 | 248 |
| 12 | 3941 | 248 |
| 13 | 3981 | 248 |
| 14 | 4046 | 248 |
| 15 | 4062 | 248 |
| 16 | 4062 | 248 |
| 0 | 4062 | 247 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.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 #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)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 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) |
x |
(/.f64 x (fma.f64 (log.f64 y) x z)) |
(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) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) |
(neg.f64 z) |
z |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) |
#s(literal 1 binary64) |
#s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(-.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 |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)))) |
#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(literal 1 binary64) (*.f64 (log.f64 y) x)) |
(*.f64 (log.f64 y) x) |
(log.f64 y) |
y |
x |
| Outputs |
|---|
(-.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 #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 x (log.f64 y) z)) (*.f64 x x) (neg.f64 (fma.f64 #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)) z y))) |
(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 #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (/.f64 x (fma.f64 x (log.f64 y) 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)))) |
(*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) |
(*.f64 x (pow.f64 (log.f64 y) #s(literal 2 binary64))) |
(pow.f64 (log.f64 y) #s(literal 2 binary64)) |
(log.f64 y) |
y |
#s(literal 2 binary64) |
x |
(/.f64 x (fma.f64 (log.f64 y) x z)) |
(/.f64 x (fma.f64 x (log.f64 y) z)) |
(fma.f64 (log.f64 y) x z) |
(fma.f64 x (log.f64 y) 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) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) |
(neg.f64 z) |
z |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) |
#s(literal 1 binary64) |
#s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(-.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 |
(/.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(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 x (log.f64 y))))) |
#s(literal 1 binary64) |
#s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x))) |
#s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 x (log.f64 y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (log.f64 y))) |
(*.f64 (log.f64 y) x) |
(*.f64 x (log.f64 y)) |
(log.f64 y) |
y |
x |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.22265625 | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)))) | |
| accuracy | 0.28125 | (*.f64 (log.f64 y) x) | |
| accuracy | 0.815245315227775 | (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)) | |
| accuracy | 43.00294171857479 | #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x))) | |
| accuracy | 0 | (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.28125 | (*.f64 (log.f64 y) x) | |
| accuracy | 31.489699557144217 | #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.22265625 | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) | |
| accuracy | 40.806100639986575 | #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 42.029960615431314 | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) | |
| accuracy | 0.34756916127114623 | (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 #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) | |
| accuracy | 0.5426750488422102 | (pow.f64 (log.f64 y) #s(literal 2 binary64)) | |
| accuracy | 0.8670373523347581 | (/.f64 x (fma.f64 (log.f64 y) x z)) | |
| accuracy | 31.72901008610369 | #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)) |
| 287.0ms | 256× | 0 | valid |
Compiled 220 to 30 computations (86.4% saved)
ival-div: 8.0ms (21.3% of total)ival-mult: 7.0ms (18.7% of total)ival-sub: 5.0ms (13.3% of total)ival-pow: 5.0ms (13.3% of total)ival-log: 4.0ms (10.7% of total)ival-pow2: 3.0ms (8% of total)ival-add: 2.0ms (5.3% of total)ival-neg: 2.0ms (5.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.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 #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) (patch (-.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 #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) #<representation:binary64>) () ()) |
#s(alt (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 #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) (patch (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 #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) #<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 #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(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation:binary64>) () ()) |
#s(alt #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y)) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<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 (*.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 (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)))) #<representation:binary64>) () ()) |
#s(alt #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x))) (patch #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x))) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)) #<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 (/.f64 x (fma.f64 (log.f64 y) x z)) (patch (/.f64 x (fma.f64 (log.f64 y) x z)) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (* x (log y)) y) (taylor 0 z) (#s(alt (-.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 #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) (patch (-.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 #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 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 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 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 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 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 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 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 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 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 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 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 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 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 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 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 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 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 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 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 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 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 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 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 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 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 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 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (/.f64 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 (- (* 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(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation:binary64>) () ())) ()) |
#s(alt (/ 1 (- (* x (log y)) y)) (taylor 0 z) (#s(alt #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (/ 1 (- (* x (log y)) y)) (/ z (pow (- (* x (log y)) y) 2))) (taylor 0 z) (#s(alt #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* z (+ (/ 1 (pow (- (* x (log y)) y) 2)) (/ z (pow (- (* x (log y)) y) 3)))) (/ 1 (- (* x (log y)) y))) (taylor 0 z) (#s(alt #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* 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))) (taylor 0 z) (#s(alt #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y)) #<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>) () ())) ()) |
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#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ y z) 2) (* x (pow (log y) 3))) (* -1 (/ (+ y z) (pow (log y) 2)))) x)) (/ 1 (log y))) x)) (taylor -inf x) (#s(alt #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x))) (patch #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x))) #<representation:binary64>) () ())) ()) |
#s(alt (* -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)) (taylor -inf x) (#s(alt #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x))) (patch #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x))) #<representation:binary64>) () ())) ()) |
#s(alt (/ 1 (* x (log y))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)) #<representation:binary64>) () ())) ()) |
#s(alt (/ 1 (* x (log y))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)) #<representation:binary64>) () ())) ()) |
#s(alt (/ 1 (* x (log y))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)) #<representation:binary64>) () ())) ()) |
#s(alt (/ 1 (* x (log y))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)) #<representation:binary64>) () ())) ()) |
#s(alt (/ z (* x (log y))) (taylor -inf x) (#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 (* -1 (/ (+ (* -1 (/ z (log y))) (/ (pow z 2) (* x (pow (log y) 2)))) x)) (taylor -inf x) (#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 (* -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 #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 (* -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 #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 (/ 1 (log y)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 (log.f64 y) x z)) (patch (/.f64 x (fma.f64 (log.f64 y) x z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ z (* x (pow (log y) 2)))) (/ 1 (log y))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 (log.f64 y) x z)) (patch (/.f64 x (fma.f64 (log.f64 y) x z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- (* -1 (/ (pow z 2) (* x (pow (log y) 3)))) (* -1 (/ z (pow (log y) 2)))) x)) (/ 1 (log y))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 (log.f64 y) x z)) (patch (/.f64 x (fma.f64 (log.f64 y) x z)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x (pow (log y) 4)))) (* -1 (/ (pow z 2) (pow (log y) 3)))) x)) (* -1 (/ z (pow (log y) 2)))) x)) (/ 1 (log y))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 (log.f64 y) x z)) (patch (/.f64 x (fma.f64 (log.f64 y) x z)) #<representation:binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | x | @ | inf | ((- (+ (* (* (pow (log y) 2) x) (/ x (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (+ (* (* (pow (log y) 2) x) (/ x (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (* (pow (log y) 2) x) (pow (log y) 2) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg z) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (/ -1 y) (- (- (* x (log y)) z) y) (- (* x (log y)) z) (* (log y) x) (log y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (/ 1 (* (log y) x)) (/ z (+ (* (log y) x) z)) (/ x (+ (* (log y) x) z))) |
| 12.0ms | y | @ | 0 | ((- (+ (* (* (pow (log y) 2) x) (/ x (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (+ (* (* (pow (log y) 2) x) (/ x (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (* (pow (log y) 2) x) (pow (log y) 2) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg z) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (/ -1 y) (- (- (* x (log y)) z) y) (- (* x (log y)) z) (* (log y) x) (log y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (/ 1 (* (log y) x)) (/ z (+ (* (log y) x) z)) (/ x (+ (* (log y) x) z))) |
| 11.0ms | y | @ | -inf | ((- (+ (* (* (pow (log y) 2) x) (/ x (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (+ (* (* (pow (log y) 2) x) (/ x (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (* (pow (log y) 2) x) (pow (log y) 2) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg z) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (/ -1 y) (- (- (* x (log y)) z) y) (- (* x (log y)) z) (* (log y) x) (log y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (/ 1 (* (log y) x)) (/ z (+ (* (log y) x) z)) (/ x (+ (* (log y) x) z))) |
| 10.0ms | x | @ | 0 | ((- (+ (* (* (pow (log y) 2) x) (/ x (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (+ (* (* (pow (log y) 2) x) (/ x (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (* (pow (log y) 2) x) (pow (log y) 2) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg z) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (/ -1 y) (- (- (* x (log y)) z) y) (- (* x (log y)) z) (* (log y) x) (log y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (/ 1 (* (log y) x)) (/ z (+ (* (log y) x) z)) (/ x (+ (* (log y) x) z))) |
| 9.0ms | y | @ | inf | ((- (+ (* (* (pow (log y) 2) x) (/ x (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) y) (+ (* (* (pow (log y) 2) x) (/ x (+ (* (log y) x) z))) (neg (* z (/ z (+ (* (log y) x) z))))) (* (pow (log y) 2) x) (pow (log y) 2) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg z) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (/ -1 y) (- (- (* x (log y)) z) y) (- (* x (log y)) z) (* (log y) x) (log y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (/ 1 (* (log y) x)) (/ z (+ (* (log y) x) z)) (/ x (+ (* (log y) x) z))) |
| 1× | egg-herbie |
| 6 312× | lower-fma.f64 |
| 6 312× | lower-fma.f32 |
| 4 484× | lower-*.f64 |
| 4 484× | lower-*.f32 |
| 2 368× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 584 | 6836 |
| 1 | 1864 | 6430 |
| 2 | 6020 | 6262 |
| 0 | 8281 | 6106 |
| 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))) |
(- (* 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) |
(/ 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) |
(/ 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))) |
(/ 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 (log y)) |
(+ (* -1 (/ z (* x (pow (log y) 2)))) (/ 1 (log y))) |
(+ (* z (- (/ z (* (pow x 2) (pow (log y) 3))) (/ 1 (* x (pow (log y) 2))))) (/ 1 (log y))) |
(+ (* z (- (* z (+ (* -1 (/ z (* (pow x 3) (pow (log y) 4)))) (/ 1 (* (pow x 2) (pow (log y) 3))))) (/ 1 (* x (pow (log y) 2))))) (/ 1 (log y))) |
(* -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)))) |
(* -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 (- (/ (* 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) |
(/ (- (/ 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 (- (/ (* 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 |
(+ 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))) |
(/ x z) |
(/ (+ x (* -1 (/ (* (pow x 2) (log y)) z))) z) |
(/ (- (+ x (/ (* (pow x 3) (pow (log y) 2)) (pow z 2))) (/ (* (pow x 2) (log y)) z)) z) |
(/ (- (+ x (* -1 (/ (* (pow x 4) (pow (log y) 3)) (pow z 3)))) (+ (* -1 (/ (* (pow x 3) (pow (log y) 2)) (pow z 2))) (/ (* (pow x 2) (log y)) z))) 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))))) |
(* -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 (/ (- (* 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 (/ (+ 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 (/ (* 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 |
(+ 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 z) |
(* -1 (/ (+ (* -1 x) (/ (* (pow x 2) (log y)) z)) z)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (* (pow x 3) (pow (log y) 2)) z) (* (pow x 2) (log y))) z))) z)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 4) (pow (log y) 3)) z) (* (pow x 3) (pow (log y) 2))) z)) (* (pow x 2) (log y))) z))) z)) |
(- (/ (* (pow x 2) (pow (log y) 2)) (+ z (* x (log y)))) (/ (pow z 2) (+ z (* x (log y))))) |
(- (+ (* -1 y) (/ (* (pow x 2) (pow (log y) 2)) (+ z (* x (log y))))) (/ (pow z 2) (+ z (* x (log y))))) |
(- (+ (* -1 y) (/ (* (pow x 2) (pow (log y) 2)) (+ z (* x (log y))))) (/ (pow z 2) (+ z (* x (log y))))) |
(- (+ (* -1 y) (/ (* (pow x 2) (pow (log y) 2)) (+ z (* x (log y))))) (/ (pow z 2) (+ z (* x (log y))))) |
(- (/ (* (pow x 2) (pow (log y) 2)) (+ z (* x (log y)))) (/ (pow z 2) (+ z (* x (log y))))) |
(- (/ (* (pow x 2) (pow (log y) 2)) (+ z (* x (log y)))) (/ (pow z 2) (+ z (* x (log y))))) |
(- (/ (* (pow x 2) (pow (log y) 2)) (+ z (* x (log y)))) (/ (pow z 2) (+ z (* x (log y))))) |
(- (/ (* (pow x 2) (pow (log y) 2)) (+ z (* x (log y)))) (/ (pow z 2) (+ z (* x (log y))))) |
(* x (pow (log y) 2)) |
(* x (pow (log y) 2)) |
(* x (pow (log y) 2)) |
(* x (pow (log y) 2)) |
(pow (log y) 2) |
(pow (log y) 2) |
(pow (log y) 2) |
(pow (log y) 2) |
(- (* 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) |
(/ 1 (- (* x (log y)) z)) |
(+ (/ 1 (- (* x (log y)) z)) (/ y (pow (- (* x (log y)) z) 2))) |
(+ (* y (+ (/ 1 (pow (- (* x (log y)) z) 2)) (/ y (pow (- (* x (log y)) z) 3)))) (/ 1 (- (* x (log y)) z))) |
(+ (* y (+ (* y (+ (/ 1 (pow (- (* x (log y)) z) 3)) (/ y (pow (- (* x (log y)) z) 4)))) (/ 1 (pow (- (* x (log y)) z) 2)))) (/ 1 (- (* x (log y)) z))) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(- (* x (log y)) z) |
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(* 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 (* x (log y))) |
(* -1 (/ (- (* -1 (/ (+ y z) (* x (pow (log y) 2)))) (/ 1 (log 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)) |
(* -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)) |
(/ 1 (* x (log y))) |
(/ 1 (* x (log y))) |
(/ 1 (* x (log y))) |
(/ 1 (* x (log y))) |
(/ 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)) |
(/ 1 (log y)) |
(+ (* -1 (/ z (* x (pow (log y) 2)))) (/ 1 (log y))) |
(+ (* -1 (/ (- (* -1 (/ (pow z 2) (* x (pow (log y) 3)))) (* -1 (/ z (pow (log y) 2)))) x)) (/ 1 (log y))) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x (pow (log y) 4)))) (* -1 (/ (pow z 2) (pow (log y) 3)))) x)) (* -1 (/ z (pow (log y) 2)))) x)) (/ 1 (log y))) |
| 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) |
(* 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 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) |
(/ 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) |
(/ 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))) |
(/ 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 (/.f64 z x) x) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.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 (log y)) |
(/.f64 #s(literal 1 binary64) (log.f64 y)) |
(+ (* -1 (/ z (* x (pow (log y) 2)))) (/ 1 (log y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 z (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x))) |
(+ (* z (- (/ z (* (pow x 2) (pow (log y) 3))) (/ 1 (* x (pow (log y) 2))))) (/ 1 (log y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 (fma.f64 (neg.f64 z) (/.f64 z (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) x)) (/.f64 z (pow.f64 (log.f64 y) #s(literal 2 binary64)))) x)) |
(+ (* z (- (* z (+ (* -1 (/ z (* (pow x 3) (pow (log y) 4)))) (/ 1 (* (pow x 2) (pow (log y) 3))))) (/ 1 (* x (pow (log y) 2))))) (/ 1 (log y))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (*.f64 x x)) (/.f64 (/.f64 z (pow.f64 (log.f64 y) #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) z (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x))) z (/.f64 #s(literal 1 binary64) (log.f64 y))) |
(* -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) |
(* -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 (- (/ (* 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) |
(* -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) |
(/.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 (- (/ (* 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 |
#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 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) z) z) x) (/.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 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) z) z) x) (/.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))) |
(/ x z) |
(/.f64 x z) |
(/ (+ x (* -1 (/ (* (pow x 2) (log y)) z))) z) |
(/.f64 (-.f64 x (*.f64 x (/.f64 (*.f64 (log.f64 y) x) z))) z) |
(/ (- (+ x (/ (* (pow x 3) (pow (log y) 2)) (pow z 2))) (/ (* (pow x 2) (log y)) z)) z) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (log.f64 y) (*.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) z) (pow.f64 x #s(literal 3 binary64)))) z) x) z) |
(/ (- (+ x (* -1 (/ (* (pow x 4) (pow (log y) 3)) (pow z 3)))) (+ (* -1 (/ (* (pow x 3) (pow (log y) 2)) (pow z 2))) (/ (* (pow x 2) (log y)) z))) z) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (/.f64 (log.f64 y) z) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (log.f64 y) (*.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) z) (pow.f64 x #s(literal 3 binary64)))) z) x)) 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 (/ (- (+ (* -1 (/ (+ (* -1 (* (pow x 2) (pow (log y) 2))) (* (pow x 2) (pow (log y) 2))) z)) (* x (log y))) y) z))))) |
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(/ (- (+ (/ 1 (log y)) (/ (pow (+ y z) 3) (* (pow x 3) (pow (log y) 4)))) (+ (* -1 (/ (+ y z) (* x (pow (log y) 2)))) (* -1 (/ (pow (+ y z) 2) (* (pow x 2) (pow (log y) 3)))))) x) |
(/.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (/.f64 (+.f64 z y) x) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 4 binary64))) (/.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) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (+ (log y) (* -1 (/ z x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 z x)) x) |
(* x (+ (log y) (* -1 (/ z x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 z x)) x) |
(* x (+ (log y) (* -1 (/ 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) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 z y) x)) x) |
(* x (+ (log y) (* -1 (/ (+ y 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 (log y)) (+ (/ y (* x (pow (log y) 2))) (/ z (* x (pow (log y) 2))))) x) |
(/.f64 (+.f64 (+.f64 (/.f64 y (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x)) (/.f64 z (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x))) (/.f64 #s(literal 1 binary64) (log.f64 y))) x) |
(/ (- (+ (/ 1 (log y)) (/ (pow (+ y z) 2) (* (pow x 2) (pow (log y) 3)))) (* -1 (/ (+ y z) (* x (pow (log y) 2))))) 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 (log y)) (/ (pow (+ y z) 3) (* (pow x 3) (pow (log y) 4)))) (+ (* -1 (/ (+ y z) (* x (pow (log y) 2)))) (* -1 (/ (pow (+ y z) 2) (* (pow x 2) (pow (log y) 3)))))) x) |
(/.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (/.f64 (+.f64 z y) x) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 4 binary64))) (/.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 (* x (log y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)) |
(/ 1 (* x (log y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)) |
(/ 1 (* x (log y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)) |
(/ 1 (* x (log y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)) |
(/ z (* x (log y))) |
(/.f64 (/.f64 z (log.f64 y)) x) |
(/ (+ (* -1 (/ (pow z 2) (* x (pow (log y) 2)))) (/ z (log y))) x) |
(/.f64 (fma.f64 (neg.f64 z) (/.f64 z (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x)) (/.f64 z (log.f64 y))) x) |
(/ (- (+ (/ z (log y)) (/ (pow z 3) (* (pow x 2) (pow (log y) 3)))) (/ (pow z 2) (* x (pow (log y) 2)))) 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 (/ (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) |
(/.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) |
(/ 1 (log y)) |
(/.f64 #s(literal 1 binary64) (log.f64 y)) |
(+ (* -1 (/ z (* x (pow (log y) 2)))) (/ 1 (log y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 z (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x))) |
(- (+ (/ 1 (log y)) (/ (pow z 2) (* (pow x 2) (pow (log y) 3)))) (/ z (* x (pow (log y) 2)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 (fma.f64 (neg.f64 z) (/.f64 z (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) x)) (/.f64 z (pow.f64 (log.f64 y) #s(literal 2 binary64)))) x)) |
(- (+ (* -1 (/ (pow z 3) (* (pow x 3) (pow (log y) 4)))) (/ 1 (log y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) (pow (log y) 3)))) (/ z (* x (pow (log y) 2))))) |
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 4 binary64)))) (/.f64 (fma.f64 (neg.f64 z) (/.f64 z (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) x)) (/.f64 z (pow.f64 (log.f64 y) #s(literal 2 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)) (* -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) |
(* 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 (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) |
(* 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) |
(/ 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)) (/ 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) |
(/ 1 (* x (log y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)) |
(/ 1 (* x (log y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)) |
(/ 1 (* x (log y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)) |
(/ 1 (* x (log y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) 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) |
(/ 1 (log y)) |
(/.f64 #s(literal 1 binary64) (log.f64 y)) |
(+ (* -1 (/ z (* x (pow (log y) 2)))) (/ 1 (log y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 z (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x))) |
(+ (* -1 (/ (- (* -1 (/ (pow z 2) (* x (pow (log y) 3)))) (* -1 (/ z (pow (log y) 2)))) x)) (/ 1 (log y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 (fma.f64 (neg.f64 z) (/.f64 z (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) x)) (/.f64 z (pow.f64 (log.f64 y) #s(literal 2 binary64)))) x)) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x (pow (log y) 4)))) (* -1 (/ (pow z 2) (pow (log y) 3)))) x)) (* -1 (/ z (pow (log y) 2)))) x)) (/ 1 (log y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 (-.f64 (/.f64 z (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 z (/.f64 z (pow.f64 (log.f64 y) #s(literal 3 binary64))) (/.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 (log.f64 y) #s(literal 4 binary64))) x)) x)) x)) |
| 8 736× | lower-fma.f32 |
| 8 732× | lower-fma.f64 |
| 4 414× | lower-/.f32 |
| 4 404× | lower-/.f64 |
| 4 186× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 202 |
| 0 | 56 | 200 |
| 1 | 220 | 194 |
| 2 | 1388 | 194 |
| 0 | 8204 | 193 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.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 #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)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (log.f64 y) #s(literal 2 binary64)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) |
(neg.f64 z) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
(-.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) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)))) |
#s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)) |
#s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)) |
(/.f64 x (fma.f64 (log.f64 y) x z)) |
| Outputs |
|---|
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(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64))) |
(/.f64 x (pow.f64 (log.f64 y) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 x (log.f64 y))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 (log.f64 y))) |
(pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (log.f64 y) #s(literal 1 binary64)) |
(exp.f64 (log.f64 (log.f64 y))) |
(log.f64 y) |
(*.f64 (pow.f64 #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64))))) |
(*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64))) #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64))))) #s(literal -1 binary64)) |
(pow.f64 #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64)))) |
(pow.f64 (pow.f64 #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64))) #s(literal 1 binary64)) |
#s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (pow (- (- (* (log y) x) z) y) -1) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (log.f64 y) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (log.f64 y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (pow.f64 (log.f64 y) #s(literal -1 binary64)) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (log.f64 y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (log.f64 y)))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 x (log.f64 y)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (*.f64 (neg.f64 x) (log.f64 y))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (log.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 y) #s(literal -1 binary64)))) (neg.f64 (neg.f64 x))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 y)) |
(/.f64 (neg.f64 (pow.f64 (log.f64 y) #s(literal -1 binary64))) (neg.f64 x)) |
(/.f64 (pow.f64 (log.f64 y) #s(literal -1 binary64)) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) (log.f64 y))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (log.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 x) (log.f64 y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (log.f64 y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (log.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 y))) #s(literal -1 binary64))) |
#s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64)) |
(*.f64 (/.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (fma.f64 z (fma.f64 x (log.f64 y) z) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)))) (pow.f64 (fma.f64 x (log.f64 y) z) #s(literal -1 binary64))) |
(*.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 x (log.f64 y) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z))) (fma.f64 x (log.f64 y) (neg.f64 z))) |
(*.f64 (/.f64 x (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (hypot.f64 (*.f64 x (log.f64 y)) z) (*.f64 (*.f64 x (log.f64 y)) z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3/2 binary64)))) (-.f64 (hypot.f64 (*.f64 x (log.f64 y)) z) (*.f64 (*.f64 x (log.f64 y)) z))) |
(*.f64 (neg.f64 (neg.f64 x)) (pow.f64 (fma.f64 x (log.f64 y) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x (log.f64 y) z) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x (log.f64 y) z) #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 (fma.f64 x (log.f64 y) z)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 x (log.f64 y) z) x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x (log.f64 y) z))) |
(*.f64 x (pow.f64 (fma.f64 x (log.f64 y) z) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 x (log.f64 y) z) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (log.f64 y) z))))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (fma.f64 x (log.f64 y) z))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 x (log.f64 y) z)) |
(/.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z))) (pow.f64 (fma.f64 x (log.f64 y) (neg.f64 z)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (fma.f64 x (log.f64 y) z)))) |
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 x (log.f64 y) z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (log.f64 y) z) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (log.f64 y) z) (*.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x (log.f64 y) z) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (log.f64 y) z) x)) |
(/.f64 x (fma.f64 x (log.f64 y) z)) |
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 x (log.f64 y) z))) |
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x (log.f64 y) z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (log.f64 y) z))) (/.f64 x (neg.f64 (fma.f64 x (log.f64 y) z)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x (log.f64 y) z) x)) #s(literal -1 binary64))) |
Compiled 32 166 to 2 442 computations (92.4% saved)
28 alts after pruning (18 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 242 | 5 | 1 247 |
| Fresh | 3 | 13 | 16 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 246 | 28 | 1 274 |
| Status | Accuracy | Program |
|---|---|---|
| 32.2% | (pow.f64 (pow.f64 (fma.f64 x (log.f64 y) (-.f64 (neg.f64 z) y)) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| 12.3% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x)))) | |
| ✓ | 32.4% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)))) |
| 34.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) z))) | |
| ✓ | 36.0% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) |
| 32.3% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) #s(approx (/ 1 (* (log y) x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (log.f64 y)))))) | |
| 99.5% | (-.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) | |
| ✓ | 99.9% | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| ✓ | 66.3% | (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) |
| 68.7% | (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) | |
| 18.8% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) | |
| ✓ | 65.0% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (-.f64 (*.f64 (log.f64 y) x) z)) |
| 18.7% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z)))) | |
| 58.8% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 #s(approx (- (/ (- (* (log y) x) z) y) 1) (fma.f64 (/.f64 (log.f64 y) y) x #s(literal -1 binary64))) y)) | |
| 24.9% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 #s(approx (- (/ (- (* (log y) x) z) y) 1) (/.f64 (*.f64 (log.f64 y) x) y)) y)) | |
| 24.5% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 #s(approx (- (/ (- (* (log y) x) z) y) 1) (/.f64 (neg.f64 z) y)) y)) | |
| 58.8% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 #s(approx (- (/ (- (* (log y) x) z) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 z y))) y)) | |
| ✓ | 34.3% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) |
| 56.3% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) #s(approx (- (* (log y) x) z) (*.f64 (fma.f64 (/.f64 (log.f64 y) z) x #s(literal -1 binary64)) z))) | |
| 54.6% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) #s(approx (- (* (log y) x) z) (*.f64 (-.f64 (log.f64 y) (/.f64 z x)) x))) | |
| 2.2% | #s(approx (- (- (* x (log y)) z) y) (/.f64 (*.f64 y y) y)) | |
| 2.2% | #s(approx (- (- (* x (log y)) z) y) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y y)))) | |
| 1.4% | #s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 y (*.f64 y y)))) | |
| ✓ | 2.2% | #s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))) |
| 1.4% | #s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y))) | |
| ✓ | 32.4% | #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) |
| ✓ | 36.1% | #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
| ✓ | 2.2% | #s(approx (- (- (* x (log y)) z) y) y) |
Compiled 793 to 414 computations (47.8% saved)
| Inputs |
|---|
#s(approx (- (- (* x (log y)) z) y) y) |
#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) |
#s(approx (- (- (* x (log y)) z) y) (/.f64 (*.f64 y y) y)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 #s(approx (- (/ (- (* (log y) x) z) y) 1) (/.f64 (neg.f64 z) y)) y)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 #s(approx (- (/ (- (* (log y) x) z) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 z y))) y)) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(/.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))) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 y (*.f64 y y)))) |
#s(approx (- (- (* x (log y)) z) y) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y y)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z)))) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y))) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) |
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (-.f64 (*.f64 (log.f64 y) x) z)) |
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) |
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) #s(approx (- (* (log y) x) z) (*.f64 (-.f64 (log.f64 y) (/.f64 z x)) x))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 #s(approx (- (/ (- (* (log y) x) z) y) 1) (/.f64 (*.f64 (log.f64 y) x) y)) y)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) #s(approx (- (* (log y) x) z) (*.f64 (fma.f64 (/.f64 (log.f64 y) z) x #s(literal -1 binary64)) z))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 #s(approx (- (/ (- (* (log y) x) z) y) 1) (fma.f64 (/.f64 (log.f64 y) y) x #s(literal -1 binary64))) y)) |
(-.f64 #s(approx (- (exp (* (log (* (log y) x)) 1)) z) (*.f64 (-.f64 (log.f64 y) (/.f64 z x)) x)) y) |
(-.f64 #s(approx (- (exp (* (log (* (log y) x)) 1)) z) (*.f64 (fma.f64 (/.f64 (log.f64 y) z) x #s(literal -1 binary64)) z)) y) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal 1 binary64)) y)) |
(/.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(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) #s(approx (/ 1 (* (log y) x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (log.f64 y)))))) |
#s(approx (- (- (* x (log y)) z) y) (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) #s(literal 2 binary64))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (-.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x) z)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 (log.f64 y)) #s(literal 2 binary64)) x)))) |
(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 (-.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) #s(literal 1 binary64))) z) y) |
(-.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) 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 #s(approx (/ z (+ (* (log y) x) z)) #s(literal 1 binary64))))) y) |
(fma.f64 (fma.f64 (log.f64 y) x z) (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(approx (pow (+ (* (log y) x) z) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)))) (neg.f64 y)) |
(/.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)) |
(*.f64 (fma.f64 (neg.f64 y) y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) |
(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)) |
(-.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) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 1/2 binary64)) (pow.f64 (log.f64 y) #s(literal 1/2 binary64))) x) z) y) #s(literal -1 binary64))) |
| Outputs |
|---|
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
4 calls:
| 19.0ms | y |
| 16.0ms | z |
| 15.0ms | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 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) y) |
#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) |
#s(approx (- (- (* x (log y)) z) y) (/.f64 (*.f64 y y) y)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 #s(approx (- (/ (- (* (log y) x) z) y) 1) (/.f64 (neg.f64 z) y)) y)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 #s(approx (- (/ (- (* (log y) x) z) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 z y))) y)) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(/.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))) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 y (*.f64 y y)))) |
#s(approx (- (- (* x (log y)) z) y) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y y)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z)))) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y))) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) |
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (-.f64 (*.f64 (log.f64 y) x) z)) |
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) |
| Outputs |
|---|
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) |
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) |
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) |
4 calls:
| 7.0ms | y |
| 6.0ms | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 6.0ms | z |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.2% | 3 | x |
| 88.7% | 3 | y |
| 87.2% | 3 | z |
| 87.2% | 3 | (-.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) y) |
#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) |
#s(approx (- (- (* x (log y)) z) y) (/.f64 (*.f64 y y) y)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 #s(approx (- (/ (- (* (log y) x) z) y) 1) (/.f64 (neg.f64 z) y)) y)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 #s(approx (- (/ (- (* (log y) x) z) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 z y))) y)) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(/.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))) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 y (*.f64 y y)))) |
#s(approx (- (- (* x (log y)) z) y) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y y)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z)))) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y))) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) |
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (-.f64 (*.f64 (log.f64 y) x) z)) |
| Outputs |
|---|
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) |
(-.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)) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 3 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (- (- (* x (log y)) z) y) y) |
#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) |
#s(approx (- (- (* x (log y)) z) y) (/.f64 (*.f64 y y) y)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 #s(approx (- (/ (- (* (log y) x) z) y) 1) (/.f64 (neg.f64 z) y)) y)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 #s(approx (- (/ (- (* (log y) x) z) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 z y))) y)) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(/.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))) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 y (*.f64 y y)))) |
#s(approx (- (- (* x (log y)) z) y) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y y)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z)))) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y))) |
#s(approx (- (- (* x (log y)) z) 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)) |
4 calls:
| 28.0ms | z |
| 5.0ms | x |
| 5.0ms | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.3% | 2 | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 68.7% | 1 | z |
| 68.7% | 1 | y |
| 84.7% | 3 | x |
Compiled 11 to 16 computations (-45.5% saved)
| Inputs |
|---|
#s(approx (- (- (* x (log y)) z) y) y) |
#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) |
#s(approx (- (- (* x (log y)) z) y) (/.f64 (*.f64 y y) y)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 #s(approx (- (/ (- (* (log y) x) z) y) 1) (/.f64 (neg.f64 z) y)) y)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 #s(approx (- (/ (- (* (log y) x) z) y) 1) (-.f64 #s(literal -1 binary64) (/.f64 z y))) y)) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(/.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))) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 y (*.f64 y y)))) |
#s(approx (- (- (* x (log y)) z) y) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y y)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z)))) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y))) |
| Outputs |
|---|
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) |
2 calls:
| 5.0ms | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.7% | 1 | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 68.7% | 1 | x |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (- (- (* x (log y)) z) y) y) |
#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 z)) |
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
4 calls:
| 14.0ms | z |
| 2.0ms | y |
| 2.0ms | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.3% | 2 | y |
| 55.3% | 3 | z |
| 40.6% | 3 | x |
| 52.2% | 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) y) |
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
| Outputs |
|---|
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
4 calls:
| 2.0ms | z |
| 2.0ms | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.1% | 1 | x |
| 36.1% | 1 | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 36.1% | 1 | z |
| 36.1% | 1 | 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) y) |
| Outputs |
|---|
#s(approx (- (- (* x (log y)) z) y) y) |
4 calls:
| 1.0ms | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.2% | 1 | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 2.2% | 1 | y |
| 2.2% | 1 | x |
| 2.2% | 1 | z |
Compiled 11 to 16 computations (-45.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 3.97853584302234e+83 | 6.507000807718158e+84 |
| 56.0ms | -1.240079964960188e+66 | -7.068151143594679e+63 |
| 12.0ms | 224× | 0 | valid |
Compiled 179 to 223 computations (-24.6% saved)
ival-log: 3.0ms (44.2% of total)ival-sub: 2.0ms (29.4% of total)ival-mult: 2.0ms (29.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.3258299170651285e+106 | 1.0246942465432502e+111 |
| 1.0ms | -1.240079964960188e+66 | -7.068151143594679e+63 |
| 7.0ms | 144× | 0 | valid |
Compiled 203 to 253 computations (-24.6% saved)
ival-log: 2.0ms (47.1% of total)ival-sub: 1.0ms (23.6% of total)ival-mult: 1.0ms (23.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 1.3258299170651285e+106 | 1.0246942465432502e+111 |
| 42.0ms | -1.240079964960188e+66 | -7.068151143594679e+63 |
| 8.0ms | 160× | 0 | valid |
Compiled 171 to 237 computations (-38.6% saved)
ival-log: 2.0ms (41.4% of total)ival-sub: 1.0ms (20.7% of total)ival-mult: 1.0ms (20.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 7.899384076379122e-47 | 1.0832663309185708e-44 |
| 6.0ms | 112× | 0 | valid |
Compiled 53 to 97 computations (-83% saved)
ival-sub: 1.0ms (30.4% of total)ival-log: 1.0ms (30.4% of total)ival-mult: 1.0ms (30.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 14× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 12× | +-commutative-binary64-+.f64 |
| 6× | *-commutative-binary64-*.f64 |
| 4× | neg-sub0-binary64--.f64-neg.f64 |
| 4× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 207 |
| 1 | 55 | 207 |
| 2 | 63 | 207 |
| 3 | 65 | 207 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
(if (<=.f64 x #s(literal -249999999999999986330583467061861281427411642505311981166460403712 binary64)) #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) (if (<=.f64 x #s(literal 500000000000000028883304949057948351218633563548032068549020931617356167008462307328 binary64)) (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y))) |
(if (<=.f64 x #s(literal -249999999999999986330583467061861281427411642505311981166460403712 binary64)) #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) (if (<=.f64 x #s(literal 77999999999999993656370482121129761444173868121792088518363169328579788385213440647886026322802314275979264 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 -320000000000000006822534083025406999136402518805748782967786831872 binary64)) #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) (if (<=.f64 x #s(literal 170000000000000007344272221035365495394641991049595095798810947857877836681500006763930913002967276155471659008 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 y #s(literal 8436424732359699/803469022129495137770981046170581301261101496891396417650688 binary64)) #s(approx (- (- (* x (log y)) z) y) (neg.f64 z)) #s(approx (- (- (* x (log y)) z) y) (neg.f64 y))) |
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
#s(approx (- (- (* x (log y)) z) y) y) |
| Outputs |
|---|
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
(-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) |
(if (<=.f64 x #s(literal -249999999999999986330583467061861281427411642505311981166460403712 binary64)) #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) (if (<=.f64 x #s(literal 500000000000000028883304949057948351218633563548032068549020931617356167008462307328 binary64)) (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y))) |
(if (<=.f64 x #s(literal -249999999999999986330583467061861281427411642505311981166460403712 binary64)) #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) (if (<=.f64 x #s(literal 77999999999999993656370482121129761444173868121792088518363169328579788385213440647886026322802314275979264 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 -320000000000000006822534083025406999136402518805748782967786831872 binary64)) #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) (if (<=.f64 x #s(literal 170000000000000007344272221035365495394641991049595095798810947857877836681500006763930913002967276155471659008 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 y #s(literal 8436424732359699/803469022129495137770981046170581301261101496891396417650688 binary64)) #s(approx (- (- (* x (log y)) z) y) (neg.f64 z)) #s(approx (- (- (* x (log y)) z) y) (neg.f64 y))) |
#s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
#s(approx (- (- (* x (log y)) z) y) y) |
| 9 182× | lower-fma.f64 |
| 9 182× | lower-fma.f32 |
| 5 240× | lower-fma.f32 |
| 5 236× | lower-fma.f64 |
| 4 030× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 158 |
| 0 | 44 | 134 |
| 1 | 188 | 124 |
| 2 | 1258 | 122 |
| 0 | 9045 | 122 |
| 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 154 to 101 computations (34.4% saved)
Compiled 226 to 88 computations (61.1% saved)
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