
Time bar (total: 9.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 100% | 49.9% | 0% | 0.1% | 0% | 49.9% | 0% | 3 |
Compiled 10 to 9 computations (10% saved)
| 535.0ms | 8 251× | 0 | valid |
| 0.0ms | 3× | 2 | valid |
| 0.0ms | 2× | 3 | valid |
ival-log: 194.0ms (56.7% of total)ival-sub: 83.0ms (24.3% of total)ival-mult: 56.0ms (16.4% of total)ival-true: 5.0ms (1.5% of total)ival-assert: 3.0ms (0.9% 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 |
| 31.0ms | 512× | 0 | valid |
Compiled 58 to 25 computations (56.9% saved)
ival-log: 8.0ms (50% of total)ival-sub: 4.0ms (25% of total)ival-mult: 3.0ms (18.7% 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 x (log.f64 y)) z) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.00390625 | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) | |
| accuracy | 0.265625 | (*.f64 x (log.f64 y)) |
| 14.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-log: 3.0ms (41.7% of total)ival-sub: 2.0ms (27.8% of total)ival-mult: 2.0ms (27.8% 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 | |
|---|---|---|---|---|
| 23.0ms | z | @ | -inf | ((- (- (* x (log y)) z) y) (- (* x (log y)) z) (* x (log y)) (log y)) |
| 21.0ms | y | @ | 0 | ((- (- (* x (log y)) z) y) (- (* x (log y)) z) (* x (log y)) (log y)) |
| 21.0ms | x | @ | 0 | ((- (- (* x (log y)) z) y) (- (* x (log y)) z) (* x (log y)) (log y)) |
| 20.0ms | y | @ | -inf | ((- (- (* x (log y)) z) y) (- (* x (log y)) z) (* x (log y)) (log y)) |
| 13.0ms | 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)))) (fma.f64 y (-.f64 y (-.f64 (*.f64 (log.f64 y) x) z)) (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64)))) |
(*.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 (*.f64 (log.f64 y) x) z) y) y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64))) #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 (*.f64 (log.f64 y) x) z) y) y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64)))) #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 (*.f64 (log.f64 y) x) z) y) y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) (fma.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64))) (*.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) (pow.f64 (fma.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 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))) (pow.f64 (fma.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64))) #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))) (fma.f64 y y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 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 (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 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 (-.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 (*.f64 (log.f64 y) x) z) y) y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64))) #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 (*.f64 (log.f64 y) x) z) y) y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.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 3 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 (*.f64 (log.f64 y) x) z) y) y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 3 binary64)) (fma.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64)))))) |
(/.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 (*.f64 (log.f64 y) x) z) y) y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64)))) #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 (*.f64 (log.f64 y) x) z) y) y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 3 binary64)) (fma.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64)))))))) |
(/.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 (*.f64 (log.f64 y) x) z) y) y (pow.f64 (-.f64 (*.f64 (log.f64 y) x) z) #s(literal 2 binary64)))))) |
(/.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 (fma.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 (-.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) (fma.f64 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 (*.f64 (log.f64 y) x) z) y))) |
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(/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64))) (fma.f64 (log.f64 y) x z)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (*.f64 (log.f64 y) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (fma.f64 (log.f64 y) x z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)))) (fma.f64 (log.f64 y) x z))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (fma.f64 (log.f64 y) x z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 (log.f64 y) x z)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 (log.f64 y) x z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (log.f64 y) x z) z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (log.f64 y) x z) z)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 y) x z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)))))) |
(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 (fma.f64 (log.f64 y) x z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)))))) |
(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)))) (fma.f64 z (-.f64 z (*.f64 (log.f64 y) x)) (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64))) (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 (fma.f64 (log.f64 y) x z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 y) x z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)))))) |
(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 (fma.f64 (log.f64 y) x z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 y) x z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 y) x z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 y) x z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)) (/.f64 (*.f64 (log.f64 y) x) (fma.f64 (fma.f64 (log.f64 y) x z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 y) x z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)))))) |
(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 (fma.f64 (log.f64 y) x z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 y) x z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)))))) |
(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 (fma.f64 (log.f64 y) x z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 y) x z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)))))) |
(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 (fma.f64 (log.f64 y) x z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 y) x z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64))))) |
(-.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 (fma.f64 (log.f64 y) x z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 y) x z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64)))))) |
(+.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 7 746 to 674 computations (91.3% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 310 | 13 | 323 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 311 | 13 | 324 |
| Status | Accuracy | Program |
|---|---|---|
| 57.3% | (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)) | |
| ▶ | 98.9% | (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))) |
| 77.8% | (-.f64 (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (log.f64 y) x z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y) | |
| 99.0% | (-.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 (/.f64 z (fma.f64 (log.f64 y) x z))))) y) | |
| 57.4% | (-.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64))) (fma.f64 (log.f64 y) x z)) y) | |
| ▶ | 62.7% | (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) |
| 69.4% | (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) | |
| 62.7% | #s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y))) | |
| 67.4% | #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) | |
| ▶ | 31.5% | #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) |
| 37.9% | #s(approx (- (- (* x (log y)) z) y) (neg.f64 z)) | |
| ▶ | 32.6% | #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
Compiled 322 to 240 computations (25.5% 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 | (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 | (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))) |
| 18 478× | lower-fma.f32 |
| 18 474× | lower-fma.f64 |
| 3 712× | lower-*.f32 |
| 3 708× | lower-*.f64 |
| 1 600× | lower-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 180 |
| 0 | 37 | 174 |
| 1 | 62 | 162 |
| 2 | 121 | 160 |
| 3 | 425 | 160 |
| 4 | 1857 | 160 |
| 5 | 5333 | 160 |
| 0 | 8216 | 160 |
| 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 #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 |
(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 #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 |
(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 | 0.1171875 | (fma.f64 (log.f64 y) x z) | |
| accuracy | 0.265625 | (*.f64 (log.f64 y) x) | |
| accuracy | 0.5326471173826427 | (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64)) | |
| accuracy | 0.76171875 | (*.f64 (-.f64 (*.f64 (log.f64 y) x) z) (pow.f64 (fma.f64 (log.f64 y) x z) #s(literal -1 binary64))) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.00390625 | (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) | |
| accuracy | 0.265625 | (*.f64 (log.f64 y) x) | |
| accuracy | 34.64966879045171 | #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.265625 | (*.f64 (log.f64 y) x) | |
| accuracy | 43.75260336450284 | #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 43.14490939272334 | #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) | |
| accuracy | 0.00390625 | (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) | |
| accuracy | 0.24609375 | (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) | |
| accuracy | 0.265625 | (*.f64 (log.f64 y) x) | |
| accuracy | 0.4857721173826427 | (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64)) |
| 92.0ms | 256× | 0 | valid |
Compiled 170 to 22 computations (87.1% saved)
ival-pow: 11.0ms (36.4% of total)ival-mult: 6.0ms (19.8% of total)ival-sub: 4.0ms (13.2% of total)ival-log: 4.0ms (13.2% of total)ival-div: 2.0ms (6.6% of total)ival-add: 2.0ms (6.6% of total)ival-neg: 1.0ms (3.3% 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 #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 (-.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 (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 (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>) () ())) ()) |
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#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 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) (patch (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) (patch (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) (patch (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* x (log y))) y) (taylor 0 z) (#s(alt (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) (patch (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (log y)) (taylor 0 z) (#s(alt #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) (patch #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) (patch #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) (patch #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* x (log y))) (taylor 0 z) (#s(alt #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) (patch #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (log y)) y) (taylor 0 z) (#s(alt (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>) () ())) ()) |
#s(alt (* z (- (/ (* x (log y)) z) (+ 1 (/ y 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>) () ())) ()) |
#s(alt (* z (- (/ (* x (log y)) z) (+ 1 (/ y 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>) () ())) ()) |
#s(alt (* z (- (/ (* x (log y)) z) (+ 1 (/ y 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 (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 (/ 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 | |
|---|---|---|---|---|
| 15.0ms | 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) (- (- (* x (log y)) z) y) (- (* x (log y)) 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) (pow (+ (* (log y) x) z) -1)) |
| 11.0ms | 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) (- (- (* x (log y)) z) y) (- (* x (log y)) 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) (pow (+ (* (log y) x) z) -1)) |
| 11.0ms | 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) (- (- (* x (log y)) z) y) (- (* x (log y)) 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) (pow (+ (* (log y) x) z) -1)) |
| 10.0ms | 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) (- (- (* x (log y)) z) y) (- (* x (log y)) 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) (pow (+ (* (log y) x) z) -1)) |
| 9.0ms | 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) (- (- (* x (log y)) z) y) (- (* x (log y)) 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) (pow (+ (* (log y) x) z) -1)) |
| 1× | egg-herbie |
| 7 118× | lower-fma.f64 |
| 7 118× | lower-fma.f32 |
| 5 340× | lower-*.f64 |
| 5 340× | lower-*.f32 |
| 2 336× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 533 | 5639 |
| 1 | 1707 | 5237 |
| 2 | 5519 | 5077 |
| 0 | 8323 | 4942 |
| 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) |
(* -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 |
(- (* -1 (/ (- (* -1 (* x (log y))) (* x (log y))) z)) 1) |
(- (* -1 (/ (- (+ (* -1 (* x (log y))) (* -1 (/ (* x (* (log y) (- (* -1 (* x (log y))) (* x (log y))))) z))) (* x (log y))) z)) 1) |
(- (* -1 (/ (- (+ (* -1 (* x (log y))) (* -1 (/ (- (* -1 (/ (* (pow x 2) (* (pow (log y) 2) (- (* -1 (* x (log y))) (* x (log y))))) z)) (* -1 (* x (* (log y) (- (* -1 (* x (log y))) (* x (log y))))))) z))) (* x (log y))) z)) 1) |
z |
(* -1 (* z (- (* -1 (/ (* x (log y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x (log y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x (log y)) z)) 1))) |
(/ 1 z) |
(* -1 (/ (- (/ (* x (log y)) z) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (log y) 2)) z) (* x (log y))) z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (log y) 3)) z) (* (pow x 2) (pow (log y) 2))) z)) (* x (log y))) z)) 1) 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))) |
(- (* 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)) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(- (+ (* -1 y) (* x (log y))) z) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -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)) |
(* 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) |
(- (* x (log y)) z) |
(- (* x (log y)) z) |
(- (* 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) (+ z (* x (log y)))) |
(/ (- (* x (log y)) z) (+ z (* x (log y)))) |
(/ (- (* x (log y)) z) (+ z (* x (log y)))) |
(/ (- (* x (log y)) z) (+ z (* x (log y)))) |
(+ z (* x (log y))) |
(+ z (* x (log y))) |
(+ z (* x (log y))) |
(+ z (* x (log y))) |
(/ 1 (+ z (* x (log y)))) |
(/ 1 (+ z (* x (log y)))) |
(/ 1 (+ z (* x (log y)))) |
(/ 1 (+ z (* x (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 y) |
(/ (- (/ z y) (+ 1 (* -1 (/ (* x (log (/ 1 y))) y)))) y) |
(/ (- (+ (/ z y) (/ (* (- z (* -1 (* x (log (/ 1 y))))) (- (* -1 (* x (log (/ 1 y)))) z)) (pow y 2))) (+ 1 (* -1 (/ (* x (log (/ 1 y))) y)))) y) |
(/ (- (+ (/ z y) (/ (* (- z (* -1 (* x (log (/ 1 y))))) (pow (- (* -1 (* x (log (/ 1 y)))) z) 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (log (/ 1 y))) y)) (* -1 (/ (* (- z (* -1 (* x (log (/ 1 y))))) (- (* -1 (* x (log (/ 1 y)))) z)) (pow y 2)))))) 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 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) |
(* -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)))) |
(* -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 (* x (log (/ 1 y)))) z) |
(- (* -1 (* x (log (/ 1 y)))) z) |
(- (* -1 (* x (log (/ 1 y)))) z) |
(- (* -1 (* x (log (/ 1 y)))) z) |
(* -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) (+ z (* -1 (* x (log (/ 1 y)))))) |
(/ (- (* -1 (* x (log (/ 1 y)))) z) (+ z (* -1 (* x (log (/ 1 y)))))) |
(/ (- (* -1 (* x (log (/ 1 y)))) z) (+ z (* -1 (* x (log (/ 1 y)))))) |
(/ (- (* -1 (* x (log (/ 1 y)))) z) (+ z (* -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 (+ z (* -1 (* x (log (/ 1 y)))))) |
(/ 1 (+ z (* -1 (* x (log (/ 1 y)))))) |
(/ 1 (+ z (* -1 (* x (log (/ 1 y)))))) |
(/ 1 (+ z (* -1 (* x (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 (/ (+ 1 (* -1 (/ (- z (* x (+ (log -1) (* -1 (log (/ -1 y)))))) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ z (/ (* (- z (* x (+ (log -1) (* -1 (log (/ -1 y)))))) (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)) y)) (* x (+ (log -1) (* -1 (log (/ -1 y)))))) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (- z (* x (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) 2)) y)) (* (- z (* x (+ (log -1) (* -1 (log (/ -1 y)))))) (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z))) y))) (* x (+ (log -1) (* -1 (log (/ -1 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))))) |
(- (* 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) |
(* -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 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))))) |
(* 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))))) |
(- (* 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) |
(* -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) (+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))) |
(/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) (+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))) |
(/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) (+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))) |
(/ (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) (+ 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)))))) |
(+ z (* x (+ (log -1) (* -1 (log (/ -1 y)))))) |
(/ 1 (+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))) |
(/ 1 (+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))) |
(/ 1 (+ z (* x (+ (log -1) (* -1 (log (/ -1 y))))))) |
(/ 1 (+ z (* x (+ (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 (+ y z)) |
(- (* -1 (/ (* x (log y)) (pow (+ y z) 2))) (/ 1 (+ y z))) |
(- (* x (- (* -1 (/ (* x (pow (log y) 2)) (pow (+ y z) 3))) (/ (log y) (pow (+ y z) 2)))) (/ 1 (+ y z))) |
(- (* x (- (* x (- (* -1 (/ (* x (pow (log y) 3)) (pow (+ y z) 4))) (/ (pow (log y) 2) (pow (+ y z) 3)))) (/ (log y) (pow (+ y z) 2)))) (/ 1 (+ y z))) |
(* -1 (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(* -1 z) |
(- (* x (log y)) z) |
(- (* x (log y)) z) |
(- (* x (log y)) z) |
(* -1 (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(* -1 (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* -1 (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(* -1 z) |
(- (* x (log y)) z) |
(- (* x (log y)) z) |
(- (* x (log y)) z) |
(* -1 (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
-1 |
(- (* x (- (/ (log y) z) (* -1 (/ (log y) z)))) 1) |
(- (* x (- (+ (* -1 (/ (* x (* (log y) (- (/ (log y) z) (* -1 (/ (log y) z))))) z)) (/ (log y) z)) (* -1 (/ (log y) z)))) 1) |
(- (* x (- (+ (* x (- (/ (* x (* (pow (log y) 2) (- (/ (log y) z) (* -1 (/ (log y) z))))) (pow z 2)) (/ (* (log y) (- (/ (log y) z) (* -1 (/ (log y) z)))) z))) (/ (log y) z)) (* -1 (/ (log y) z)))) 1) |
z |
(+ z (* x (log y))) |
(+ z (* x (log y))) |
(+ z (* x (log y))) |
(/ 1 z) |
(+ (* -1 (/ (* x (log y)) (pow z 2))) (/ 1 z)) |
(+ (* x (- (/ (* x (pow (log y) 2)) (pow z 3)) (/ (log y) (pow z 2)))) (/ 1 z)) |
(+ (* 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)) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(/ 1 (* x (log y))) |
(/ (+ (/ 1 (log y)) (+ (/ y (* x (pow (log y) 2))) (/ z (* x (pow (log y) 2))))) x) |
(/ (- (+ (/ 1 (log y)) (/ (pow (+ y z) 2) (* (pow x 2) (pow (log y) 3)))) (* -1 (/ (+ y z) (* x (pow (log y) 2))))) 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) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ z x)))) |
(* x (+ (log y) (* -1 (/ z x)))) |
(* x (+ (log y) (* -1 (/ z x)))) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ z x)))) |
(* x (+ (log y) (* -1 (/ z x)))) |
(* x (+ (log y) (* -1 (/ z x)))) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
1 |
(- (+ 1 (* -1 (/ z (* x (log y))))) (/ z (* x (log y)))) |
(- (+ 1 (+ (* -1 (/ z (* x (log y)))) (* -1 (/ (* z (- (* -1 (/ z (log y))) (/ z (log y)))) (* (pow x 2) (log y)))))) (/ z (* x (log y)))) |
(- (+ 1 (+ (* -1 (/ z (* x (log y)))) (/ (* (pow z 2) (- (* -1 (/ z (log y))) (/ z (log y)))) (* (pow x 3) (pow (log y) 2))))) (+ (/ z (* x (log y))) (/ (* z (- (* -1 (/ z (log y))) (/ z (log y)))) (* (pow x 2) (log y))))) |
(* x (log y)) |
(* x (+ (log y) (/ z x))) |
(* x (+ (log y) (/ z x))) |
(* x (+ (log y) (/ z x))) |
(/ 1 (* x (log y))) |
(/ (+ (* -1 (/ z (* x (pow (log y) 2)))) (/ 1 (log y))) x) |
(/ (- (+ (/ 1 (log y)) (/ (pow z 2) (* (pow x 2) (pow (log y) 3)))) (/ z (* x (pow (log y) 2)))) 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))))) 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 (* 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)) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ z x)))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ 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)) |
(* -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))))) |
(/ 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)) |
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(+.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z (log.f64 y)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 z z) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 z (log.f64 y))) z) (*.f64 (*.f64 (log.f64 y) x) x)) (/.f64 (*.f64 (/.f64 z (log.f64 y)) #s(literal -2 binary64)) x))) #s(literal 1 binary64)) |
(* x (log y)) |
(*.f64 (log.f64 y) x) |
(* x (+ (log y) (/ z x))) |
(*.f64 (+.f64 (/.f64 z x) (log.f64 y)) x) |
(* x (+ (log y) (/ z x))) |
(*.f64 (+.f64 (/.f64 z x) (log.f64 y)) x) |
(* x (+ (log y) (/ z x))) |
(*.f64 (+.f64 (/.f64 z x) (log.f64 y)) 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 #s(literal 1 binary64) (log.f64 y)) (/.f64 z (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x))) x) |
(/ (- (+ (/ 1 (log y)) (/ (pow z 2) (* (pow x 2) (pow (log y) 3)))) (/ z (* x (pow (log y) 2)))) 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 (/ (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))))) x) |
(/.f64 (-.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))) (/.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 4 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))) |
(/ 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 (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))) |
(* 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) |
(* 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 (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) |
(/ 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) |
| 5 202× | lower-fma.f32 |
| 5 198× | lower-fma.f64 |
| 4 146× | lower-*.f32 |
| 4 142× | lower-*.f64 |
| 3 026× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 140 |
| 0 | 37 | 128 |
| 1 | 161 | 120 |
| 2 | 1023 | 118 |
| 0 | 9310 | 118 |
| 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) |
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) |
#s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) |
(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) |
(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 (fma.f64 y (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64))) #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 (pow.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal 2 binary64)) #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 (fma.f64 y (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64))) #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 (fma.f64 y (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)) (sqrt.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (pow.f64 (-.f64 z y) #s(literal 2 binary64))) (/.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 (pow.f64 (-.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 x (log.f64 y)) (-.f64 z y)))))) |
(*.f64 (neg.f64 (pow.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal 2 binary64))) (/.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) (neg.f64 (fma.f64 y (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal 2 binary64)) (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 (fma.f64 y (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) (pow.f64 (-.f64 (*.f64 x (log.f64 y)) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.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 2 binary64))) |
(*.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 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal 2 binary64)) #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)) |
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(+.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 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64))) (*.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 z (-.f64 z (*.f64 x (log.f64 y)))) (pow.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 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 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 z (-.f64 z (*.f64 x (log.f64 y))))) (*.f64 (pow.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 z (-.f64 z (*.f64 x (log.f64 y)))))) |
Compiled 104 400 to 6 173 computations (94.1% saved)
22 alts after pruning (19 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 832 | 16 | 2 848 |
| Fresh | 5 | 3 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 839 | 22 | 2 861 |
| Status | Accuracy | Program |
|---|---|---|
| 73.6% | (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x (log.f64 y)) (log.f64 y)) #s(literal 1 binary64)) (/.f64 x (-.f64 (*.f64 x (log.f64 y)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x (log.f64 y)) 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)) | |
| 33.4% | (pow.f64 (pow.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| 33.3% | (pow.f64 (sqrt.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)) #s(literal 2 binary64)) | |
| 35.8% | (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (-.f64 (log.f64 (pow.f64 y #s(literal 3 binary64))) (log.f64 (fma.f64 y y #s(literal 0 binary64)))) x) z) y) #s(literal -1 binary64))) | |
| ▶ | 31.5% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)))) |
| 37.8% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) z))) | |
| 32.5% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) | |
| ▶ | 99.0% | (-.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 (/.f64 z (fma.f64 (log.f64 y) x z))))) y) |
| 88.5% | (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (fma.f64 (/.f64 (log.f64 y) z) x #s(literal -1 binary64)) z)) y) | |
| ✓ | 62.7% | (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) |
| 69.4% | (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) | |
| 67.4% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (-.f64 (*.f64 (log.f64 y) x) z)) | |
| 80.1% | #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)) | |
| 37.9% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) | |
| ▶ | 62.7% | #s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y))) |
| 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)))) | |
| 13.6% | #s(approx (- (- (* x (log y)) z) y) (*.f64 (-.f64 (log.f64 (pow.f64 y #s(literal 3 binary64))) (log.f64 (fma.f64 y y #s(literal 0 binary64)))) x)) | |
| ▶ | 2.2% | #s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))) |
| ✓ | 31.5% | #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) |
| ✓ | 32.6% | #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
| ▶ | 2.3% | #s(approx (- (- (* x (log y)) z) y) y) |
Compiled 455 to 384 computations (15.6% 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 | (neg.f64 y) | |
| cost-diff | 0 | (log.f64 y) | |
| cost-diff | 0 | (fma.f64 (log.f64 y) x (neg.f64 y)) | |
| cost-diff | 0 | #s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y))) | |
| 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) |
| 14 182× | lower-fma.f32 |
| 14 176× | lower-fma.f64 |
| 4 016× | lower-*.f32 |
| 4 006× | lower-*.f64 |
| 2 074× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 224 |
| 0 | 56 | 212 |
| 1 | 101 | 212 |
| 2 | 184 | 212 |
| 3 | 352 | 212 |
| 4 | 822 | 212 |
| 5 | 3138 | 212 |
| 6 | 6025 | 212 |
| 0 | 8227 | 211 |
| 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 (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y))) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(log.f64 y) |
y |
x |
(neg.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(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 (/.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) |
y |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (- (- (* x (log y)) z) y) 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 (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y))) |
#s(approx (- (- (* x (log y)) z) y) (fma.f64 x (log.f64 y) (neg.f64 y))) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(fma.f64 x (log.f64 y) (neg.f64 y)) |
(log.f64 y) |
y |
x |
(neg.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)))) |
(/.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 | 0.24609375 | (/.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 | 0.265625 | (*.f64 (log.f64 y) x) | |
| accuracy | 0.6615533673826427 | (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)) | |
| accuracy | 43.64229248533628 | #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x))) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.140625 | (fma.f64 (log.f64 y) x (neg.f64 y)) | |
| accuracy | 23.804910448385986 | #s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 30.130002294333366 | (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 62.5405193537071 | #s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))) | |
| accuracy | 62.5405193537071 | #s(approx (- (- (* x (log y)) z) y) y) | |
| accuracy | 0.2265625 | (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) | |
| accuracy | 0.4684562988422101 | (pow.f64 (log.f64 y) #s(literal 2 binary64)) | |
| accuracy | 0.5498920853845289 | (/.f64 z (fma.f64 (log.f64 y) x z)) | |
| accuracy | 0.6092686999036595 | (/.f64 x (fma.f64 (log.f64 y) x z)) |
| 76.0ms | 256× | 0 | valid |
Compiled 207 to 33 computations (84.1% saved)
ival-div: 14.0ms (29.9% of total)ival-mult: 10.0ms (21.3% of total)ival-pow: 6.0ms (12.8% of total)ival-sub: 5.0ms (10.7% of total)ival-log: 4.0ms (8.5% of total)ival-add: 3.0ms (6.4% of total)ival-pow2: 3.0ms (6.4% of total)ival-neg: 2.0ms (4.3% 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 (/.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 (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y))) (patch #s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (log.f64 y) x (neg.f64 y)) (patch (fma.f64 (log.f64 y) x (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.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 (*.f64 (log.f64 y) x) (patch (*.f64 (log.f64 y) x) #<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 (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y))) (patch #s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (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) (fma.f64 (log.f64 y) x (neg.f64 y))) (patch #s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (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) (fma.f64 (log.f64 y) x (neg.f64 y))) (patch #s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (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) (fma.f64 (log.f64 y) x (neg.f64 y))) (patch #s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y))) #<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) (*.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 (- (+ (* -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) (*.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 (- (+ (* -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) (*.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 (- (+ (* -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) (*.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 (/ 1 (- (* x (log y)) y)) (taylor 0 z) (#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)) 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) (*.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 (+ (* 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) (*.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 (+ (* 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) (*.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 (log y)) (taylor 0 z) (#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 0 z) (#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 (+ (* z (- (/ z (* (pow x 2) (pow (log y) 3))) (/ 1 (* x (pow (log y) 2))))) (/ 1 (log y))) (taylor 0 z) (#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 (+ (* 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))) (taylor 0 z) (#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 (/ z (* x (log y))) (taylor 0 z) (#s(alt (/.f64 z (fma.f64 (log.f64 y) x z)) (patch (/.f64 z (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ z (* (pow x 2) (pow (log y) 2)))) (/ 1 (* x (log y))))) (taylor 0 z) (#s(alt (/.f64 z (fma.f64 (log.f64 y) x z)) (patch (/.f64 z (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* 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 (/.f64 z (fma.f64 (log.f64 y) x z)) (patch (/.f64 z (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ()) |
#s(alt (* 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))))) (taylor 0 z) (#s(alt (/.f64 z (fma.f64 (log.f64 y) x z)) (patch (/.f64 z (fma.f64 (log.f64 y) x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf 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 (* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) (taylor inf 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 (* 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)))) (taylor inf 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>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | 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) (- (- (* x (log y)) z) y) (* (* y y) (/ 1 y)) (- (- (* x (log y)) z) y) (* y y) (/ 1 y) (- (- (* x (log y)) z) y) (+ (* (log y) x) (neg y)) (log y) (neg y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (/ 1 (* (log y) x)) (* (log y) x) (/ x (+ (* (log y) x) z)) (/ z (+ (* (log y) x) z))) |
| 18.0ms | 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) (- (- (* x (log y)) z) y) (+ (* (log y) x) (neg y)) (log y) (neg y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (/ 1 (* (log y) x)) (* (log y) x) (/ x (+ (* (log y) x) z)) (/ z (+ (* (log y) x) z))) |
| 16.0ms | 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) (- (- (* x (log y)) z) y) (+ (* (log y) x) (neg y)) (log y) (neg y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (/ 1 (* (log y) x)) (* (log y) x) (/ 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) (- (- (* x (log y)) z) y) (+ (* (log y) x) (neg y)) (log y) (neg y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (/ 1 (* (log y) x)) (* (log y) x) (/ x (+ (* (log y) x) z)) (/ z (+ (* (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) (- (- (* x (log y)) z) y) (* (* y y) (/ 1 y)) (- (- (* x (log y)) z) y) (* y y) (/ 1 y) (- (- (* x (log y)) z) y) (+ (* (log y) x) (neg y)) (log y) (neg y) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (pow (- (- (* (log y) x) z) y) -1) (/ 1 (* (log y) x)) (* (log y) x) (/ x (+ (* (log y) x) z)) (/ z (+ (* (log y) x) z))) |
| 1× | egg-herbie |
| 6 454× | lower-fma.f64 |
| 6 454× | lower-fma.f32 |
| 4 604× | lower-*.f64 |
| 4 604× | lower-*.f32 |
| 2 394× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 597 | 5827 |
| 1 | 1914 | 5488 |
| 2 | 6187 | 5368 |
| 0 | 8471 | 5226 |
| 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)) 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))) |
(/ 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 (/ 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) |
(/ 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)) 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)) |
(/ 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)) |
(+ (* -1 y) (* x (log y))) |
(+ (* -1 y) (* x (log y))) |
(+ (* -1 y) (* x (log y))) |
(log y) |
(log y) |
(log y) |
(log y) |
(* -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) |
(/ 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 (* x (log y))) |
(/ 1 (* x (log y))) |
(/ 1 (* x (log y))) |
(/ 1 (* x (log y))) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log 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 y) |
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) 1)) |
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) 1)) |
(* y (- (* -1 (/ (* x (log (/ 1 y))) y)) 1)) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -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 y) |
(/ (- (/ z y) (+ 1 (* -1 (/ (* x (log (/ 1 y))) y)))) y) |
(/ (- (+ (/ z y) (/ (* (- z (* -1 (* x (log (/ 1 y))))) (- (* -1 (* x (log (/ 1 y)))) z)) (pow y 2))) (+ 1 (* -1 (/ (* x (log (/ 1 y))) y)))) y) |
(/ (- (+ (/ z y) (/ (* (- z (* -1 (* x (log (/ 1 y))))) (pow (- (* -1 (* x (log (/ 1 y)))) z) 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (log (/ 1 y))) y)) (* -1 (/ (* (- z (* -1 (* x (log (/ 1 y))))) (- (* -1 (* x (log (/ 1 y)))) z)) (pow y 2)))))) y) |
(/ -1 (* x (log (/ 1 y)))) |
(/ -1 (* x (log (/ 1 y)))) |
(/ -1 (* x (log (/ 1 y)))) |
(/ -1 (* x (log (/ 1 y)))) |
(* -1 (* x (log (/ 1 y)))) |
(* -1 (* x (log (/ 1 y)))) |
(* -1 (* x (log (/ 1 y)))) |
(* -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)))))) |
(/ 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))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) y))))) |
(+ (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 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))))) |
(/ -1 y) |
(* -1 (/ (+ 1 (* -1 (/ (- z (* x (+ (log -1) (* -1 (log (/ -1 y)))))) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ z (/ (* (- z (* x (+ (log -1) (* -1 (log (/ -1 y)))))) (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)) y)) (* x (+ (log -1) (* -1 (log (/ -1 y)))))) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (- z (* x (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) 2)) y)) (* (- z (* x (+ (log -1) (* -1 (log (/ -1 y)))))) (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z))) y))) (* x (+ (log -1) (* -1 (log (/ -1 y)))))) y))) y)) |
(/ 1 (* x (+ (log -1) (* -1 (log (/ -1 y)))))) |
(/ 1 (* x (+ (log -1) (* -1 (log (/ -1 y)))))) |
(/ 1 (* x (+ (log -1) (* -1 (log (/ -1 y)))))) |
(/ 1 (* 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))))) |
(* 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))))))) |
(/ 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 y) |
(- (* x (log y)) y) |
(- (* x (log y)) y) |
(- (* x (log y)) y) |
(* -1 (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(/ -1 (+ y z)) |
(- (* -1 (/ (* x (log y)) (pow (+ y z) 2))) (/ 1 (+ y z))) |
(- (* x (- (* -1 (/ (* x (pow (log y) 2)) (pow (+ y z) 3))) (/ (log y) (pow (+ y z) 2)))) (/ 1 (+ y z))) |
(- (* x (- (* x (- (* -1 (/ (* x (pow (log y) 3)) (pow (+ y z) 4))) (/ (pow (log y) 2) (pow (+ y z) 3)))) (/ (log y) (pow (+ y z) 2)))) (/ 1 (+ y z))) |
(/ 1 (* x (log y))) |
(/ 1 (* x (log y))) |
(/ 1 (* x (log y))) |
(/ 1 (* x (log y))) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log 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 (/ y x)))) |
(* x (+ (log y) (* -1 (/ y x)))) |
(* x (+ (log y) (* -1 (/ y x)))) |
(* x (log y)) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(/ 1 (* x (log y))) |
(/ (+ (/ 1 (log y)) (+ (/ y (* x (pow (log y) 2))) (/ z (* x (pow (log y) 2))))) x) |
(/ (- (+ (/ 1 (log y)) (/ (pow (+ y z) 2) (* (pow x 2) (pow (log y) 3)))) (* -1 (/ (+ y z) (* x (pow (log y) 2))))) 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) |
(/ 1 (* x (log y))) |
(/ 1 (* x (log y))) |
(/ 1 (* x (log y))) |
(/ 1 (* x (log y))) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log 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)) (/ y x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ y x)))) |
(* -1 (* x (+ (* -1 (log y)) (/ y x)))) |
(* x (log y)) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(* -1 (* x (+ (* -1 (log y)) (+ (/ y x) (/ z x))))) |
(/ 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))) |
(* x (log y)) |
(* x (log y)) |
(* x (log y)) |
(* x (log 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)) 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))) |
(/ 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))) |
(/ 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))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x) (/.f64 z (*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) x))) z) |
(* 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 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) 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))))) |
(*.f64 (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 (/.f64 #s(literal 1 binary64) (log.f64 y)) x)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) y) z) #s(literal 1 binary64)) z) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (log y) 2)) (pow z 2))) (+ (/ (* x (log y)) z) (/ (* (pow x 2) (pow (log y) 2)) (pow z 2)))) (+ 1 (/ y z)))) |
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(*.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 x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 y x)) x) |
(* x (+ (log y) (* -1 (/ y x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 y x)) x) |
(* x (+ (log y) (* -1 (/ y x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 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) |
(/ 1 (* x (log y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (log.f64 y)) x) |
(/ 1 (* x (log y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x) |
(/ 1 (* x (log y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x) |
(/ 1 (* x (log y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (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 (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)) |
(/ 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) |
(* 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)) (/ y x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 y x)) x) |
(* -1 (* x (+ (* -1 (log y)) (/ y x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 y x)) x) |
(* -1 (* x (+ (* -1 (log y)) (/ y x)))) |
(*.f64 (-.f64 (log.f64 y) (/.f64 y x)) x) |
(* x (log y)) |
(*.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 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (log.f64 y)) x) |
(/ 1 (* x (log y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x) |
(/ 1 (* x (log y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x) |
(/ 1 (* x (log y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (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 (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)) |
(/ 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) |
| 4 604× | lower-/.f32 |
| 4 594× | lower-/.f64 |
| 4 372× | lower-*.f32 |
| 4 362× | lower-*.f64 |
| 3 980× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 184 |
| 0 | 56 | 176 |
| 1 | 231 | 136 |
| 2 | 1480 | 136 |
| 0 | 8300 | 136 |
| 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 (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y))) |
(fma.f64 (log.f64 y) x (neg.f64 y)) |
(log.f64 y) |
(neg.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)) |
(*.f64 (log.f64 y) x) |
(/.f64 x (fma.f64 (log.f64 y) x z)) |
(/.f64 z (fma.f64 (log.f64 y) x z)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (fma.f64 x (log.f64 y) (neg.f64 z)) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (fma.f64 x (log.f64 y) (fma.f64 #s(literal -1 binary64) z y)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 x (log.f64 y) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (fma.f64 x (log.f64 y) (fma.f64 #s(literal -1 binary64) z y)) (pow.f64 (fma.f64 x (log.f64 y) (neg.f64 z)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 x (log.f64 y) (fma.f64 #s(literal -1 binary64) z y)) (-.f64 (pow.f64 (fma.f64 x (log.f64 y) (neg.f64 z)) #s(literal 2 binary64)) (*.f64 y y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (fma.f64 x (log.f64 y) (fma.f64 #s(literal -1 binary64) z y)) (pow.f64 (fma.f64 x (log.f64 y) (neg.f64 z)) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 x (log.f64 y) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (pow.f64 (+.f64 z y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x (log.f64 y) (+.f64 z y)))) |
(/.f64 (neg.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))) (pow.f64 (fma.f64 (/.f64 (neg.f64 z) (fma.f64 x (log.f64 y) z)) z (neg.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (fma.f64 x (log.f64 y) z)) (fma.f64 (/.f64 (neg.f64 z) (fma.f64 x (log.f64 y) z)) z (neg.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (+.f64 z y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 x (log.f64 y)) (+.f64 z y)))))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (*.f64 x (log.f64 y)) (neg.f64 z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) (fma.f64 x (log.f64 y) z)) |
(/.f64 (*.f64 (fma.f64 x (log.f64 y) (neg.f64 z)) (/.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))) (/.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))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)) (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)))) |
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(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) z) #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 6 binary64)) (pow.f64 (fma.f64 x (log.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 z) (/.f64 z (fma.f64 x (log.f64 y) z))) (/.f64 (-.f64 (*.f64 (neg.f64 z) z) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64))) (fma.f64 x (log.f64 y) z)) (/.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 #s(literal -1 binary64) (neg.f64 (/.f64 (/.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)) (*.f64 (fma.f64 x (log.f64 y) (neg.f64 z)) (/.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)))))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (log.f64 y) z) (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (fma.f64 x (log.f64 y) z) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.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)) (*.f64 (fma.f64 x (log.f64 y) (neg.f64 z)) (/.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))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 z) (/.f64 z (fma.f64 x (log.f64 y) z))) (/.f64 (-.f64 (*.f64 (neg.f64 z) z) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64))) (fma.f64 x (log.f64 y) z)) (/.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)))) (fma.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) z) #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 6 binary64)) (pow.f64 (fma.f64 x (log.f64 y) z) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (log.f64 y) z) (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (fma.f64 x (log.f64 y) z) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (-.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 (neg.f64 z) (/.f64 z (fma.f64 x (log.f64 y) z)))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)))) (fma.f64 z (-.f64 z (*.f64 x (log.f64 y))) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64))) (*.f64 (neg.f64 z) (/.f64 z (fma.f64 x (log.f64 y) z)))) |
(fma.f64 (*.f64 (/.f64 x (fma.f64 x (log.f64 y) z)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x (*.f64 (neg.f64 z) (/.f64 z (fma.f64 x (log.f64 y) z)))) |
(fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (fma.f64 x (log.f64 y) z) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (fma.f64 x (log.f64 y) 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)))) |
(fma.f64 (/.f64 (neg.f64 z) (fma.f64 x (log.f64 y) z)) z (/.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (fma.f64 x (log.f64 y) z))) |
(fma.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (pow.f64 (fma.f64 x (log.f64 y) z) #s(literal -1 binary64)) (*.f64 (neg.f64 z) (/.f64 z (fma.f64 x (log.f64 y) z)))) |
(fma.f64 (neg.f64 z) (/.f64 z (fma.f64 x (log.f64 y) z)) (/.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (fma.f64 x (log.f64 y) z))) |
(fma.f64 (*.f64 x (log.f64 y)) #s(literal 1 binary64) (neg.f64 z)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) z) (/.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (fma.f64 x (log.f64 y) z))) |
(fma.f64 #s(literal -1 binary64) z (*.f64 x (log.f64 y))) |
(fma.f64 (*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) z) #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (fma.f64 x (log.f64 y) z))) |
(fma.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) (neg.f64 z) (/.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (fma.f64 x (log.f64 y) z))) |
(fma.f64 (/.f64 x (fma.f64 x (log.f64 y) z)) (*.f64 x (pow.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 z) (/.f64 z (fma.f64 x (log.f64 y) z)))) |
(fma.f64 z (/.f64 (neg.f64 z) (fma.f64 x (log.f64 y) z)) (/.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (fma.f64 x (log.f64 y) z))) |
(fma.f64 (*.f64 x (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 x (fma.f64 x (log.f64 y) z)) (*.f64 (neg.f64 z) (/.f64 z (fma.f64 x (log.f64 y) z)))) |
(fma.f64 x (*.f64 (pow.f64 (fma.f64 x (log.f64 y) z) #s(literal -1 binary64)) (*.f64 x (pow.f64 (log.f64 y) #s(literal 2 binary64)))) (*.f64 (neg.f64 z) (/.f64 z (fma.f64 x (log.f64 y) z)))) |
(fma.f64 x (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (/.f64 x (fma.f64 x (log.f64 y) z))) (*.f64 (neg.f64 z) (/.f64 z (fma.f64 x (log.f64 y) z)))) |
(fma.f64 x (/.f64 (log.f64 y) #s(literal 1 binary64)) (neg.f64 z)) |
(fma.f64 x (log.f64 y) (neg.f64 z)) |
(fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 x (log.f64 y) z)) x) (*.f64 (neg.f64 z) (/.f64 z (fma.f64 x (log.f64 y) z)))) |
(fma.f64 (log.f64 y) (/.f64 x #s(literal 1 binary64)) (neg.f64 z)) |
(fma.f64 (log.f64 y) (*.f64 (log.f64 y) (*.f64 (/.f64 x (fma.f64 x (log.f64 y) z)) x)) (*.f64 (neg.f64 z) (/.f64 z (fma.f64 x (log.f64 y) z)))) |
(fma.f64 (log.f64 y) x (neg.f64 z)) |
(-.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)) (*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) z)) |
(-.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))) (/.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)))) |
(-.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)))) (/.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))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64))) (fma.f64 x (log.f64 y) z))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (fma.f64 x (log.f64 y) z)) (*.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) z)) |
(-.f64 (*.f64 x (log.f64 y)) z) |
(+.f64 (neg.f64 z) (*.f64 x (log.f64 y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (fma.f64 x (log.f64 y) z)) (*.f64 (neg.f64 z) (/.f64 z (fma.f64 x (log.f64 y) z)))) |
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 z)) |
(+.f64 (*.f64 (neg.f64 z) (/.f64 z (fma.f64 x (log.f64 y) z))) (/.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)) (fma.f64 x (log.f64 y) z))) |
(*.f64 (*.f64 x (log.f64 y)) (log.f64 y)) |
(*.f64 x (pow.f64 (log.f64 y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) |
(*.f64 (log.f64 y) (*.f64 x (log.f64 y))) |
(*.f64 (log.f64 y) (log.f64 y)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 y))) |
(pow.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (log.f64 y) #s(literal 2 binary64)) |
(exp.f64 (+.f64 (log.f64 (log.f64 y)) (log.f64 (log.f64 y)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (log.f64 y)) #s(literal 2 binary64))) |
#s(approx (- (- (* x (log y)) z) y) y) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 y y)) |
(*.f64 #s(literal 1 binary64) y) |
(*.f64 (*.f64 y y) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 y #s(literal 1 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 y #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 y y))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 y y))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 y y) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 y y)) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 y) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 y y) y) |
(/.f64 y #s(literal 1 binary64)) |
(exp.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64))) |
y |
#s(approx (- (- (* x (log y)) z) y) y) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(*.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) y) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
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(*.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 #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 (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) (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))) |
(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 (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 (/.f64 x (pow.f64 (log.f64 y) #s(literal -1 binary64))) #s(literal -1 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)) (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 (/.f64 x (pow.f64 (log.f64 y) #s(literal -1 binary64))))) |
(/.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 x (pow.f64 (log.f64 y) #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))) |
(*.f64 (*.f64 x (log.f64 y)) #s(literal 1 binary64)) |
(*.f64 x (/.f64 (log.f64 y) #s(literal 1 binary64))) |
(*.f64 x (log.f64 y)) |
(*.f64 (log.f64 y) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (log.f64 y) x) |
(pow.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x (log.f64 y)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (log.f64 y))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 x) (log.f64 y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 x (log.f64 y)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 x (log.f64 y)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.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 (/.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 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)))) (fma.f64 z (-.f64 z (*.f64 x (log.f64 y))) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 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 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)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x (log.f64 y) z) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 z (-.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 z (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)))) (fma.f64 z (-.f64 z (*.f64 x (log.f64 y))) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)))) |
(*.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))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x (log.f64 y) z) z)) #s(literal -1 binary64))) |
Compiled 50 062 to 4 162 computations (91.7% saved)
21 alts after pruning (14 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 511 | 4 | 1 515 |
| Fresh | 4 | 10 | 14 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 516 | 21 | 1 537 |
| Status | Accuracy | Program |
|---|---|---|
| 33.3% | (pow.f64 (sqrt.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)) #s(literal 2 binary64)) | |
| ▶ | 31.4% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x))) |
| ✓ | 31.5% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)))) |
| 37.8% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) z))) | |
| ▶ | 32.5% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) |
| 31.5% | (/.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)))))) | |
| ▶ | 98.9% | (-.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 (/.f64 z (fma.f64 (log.f64 y) x z))))) y) |
| 88.5% | (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (fma.f64 (/.f64 (log.f64 y) z) x #s(literal -1 binary64)) z)) y) | |
| ✓ | 62.7% | (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) |
| 69.4% | (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) | |
| ▶ | 67.4% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (-.f64 (*.f64 (log.f64 y) x) z)) |
| ▶ | 37.9% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) |
| ✓ | 62.7% | #s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y))) |
| 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)))) | |
| 13.6% | #s(approx (- (- (* x (log y)) z) y) (*.f64 (-.f64 (log.f64 (pow.f64 y #s(literal 3 binary64))) (log.f64 (fma.f64 y y #s(literal 0 binary64)))) x)) | |
| ✓ | 2.2% | #s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))) |
| ✓ | 31.5% | #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) |
| ✓ | 32.6% | #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
| 55.3% | #s(approx (- (- (* x (log y)) z) y) #s(approx (+ (* (log y) x) (neg y)) (*.f64 (fma.f64 (/.f64 (log.f64 y) y) x #s(literal -1 binary64)) y))) | |
| ✓ | 2.3% | #s(approx (- (- (* x (log y)) z) y) y) |
Compiled 305 to 300 computations (1.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (log.f64 y)) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x) | |
| cost-diff | 0 | #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x))) | |
| 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 | #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) #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (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) #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) y) |
| 1 664× | lower-fma.f32 |
| 1 660× | lower-fma.f64 |
| 848× | lower-*.f32 |
| 842× | lower-*.f64 |
| 418× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 263 |
| 0 | 55 | 263 |
| 1 | 87 | 255 |
| 2 | 156 | 255 |
| 3 | 315 | 255 |
| 4 | 656 | 255 |
| 5 | 1175 | 255 |
| 6 | 1683 | 255 |
| 7 | 2208 | 255 |
| 8 | 2500 | 255 |
| 9 | 2628 | 255 |
| 10 | 2713 | 255 |
| 11 | 2745 | 255 |
| 12 | 2748 | 255 |
| 0 | 2748 | 254 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.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 (/.f64 z (fma.f64 (log.f64 y) x z))))) y) |
(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 (/.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 |
#s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) |
(/.f64 #s(literal 1 binary64) (log.f64 y)) |
#s(literal 1 binary64) |
(neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z)))) |
(*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))) |
z |
(/.f64 z (fma.f64 (log.f64 y) x z)) |
(fma.f64 (log.f64 y) x z) |
#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 |
#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 |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x))) |
#s(literal 1 binary64) |
#s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x) |
(/.f64 #s(literal 1 binary64) (log.f64 y)) |
(log.f64 y) |
y |
x |
| Outputs |
|---|
(-.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 (/.f64 z (fma.f64 (log.f64 y) x z))))) y) |
(fma.f64 (*.f64 #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (pow.f64 (log.f64 y) #s(literal 2 binary64))) 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) #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (log.f64 y) x z))))) |
(fma.f64 #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (*.f64 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 |
#s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) |
(/.f64 #s(literal 1 binary64) (log.f64 y)) |
#s(literal 1 binary64) |
(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) |
z |
(/.f64 z (fma.f64 (log.f64 y) x z)) |
(/.f64 z (fma.f64 x (log.f64 y) z)) |
(fma.f64 (log.f64 y) x z) |
(fma.f64 x (log.f64 y) z) |
#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 |
#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)) (fma.f64 x (log.f64 y) (neg.f64 z))) |
(-.f64 (*.f64 (log.f64 y) x) z) |
(fma.f64 x (log.f64 y) (neg.f64 z)) |
(*.f64 (log.f64 y) x) |
(*.f64 x (log.f64 y)) |
(log.f64 y) |
y |
x |
z |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x))) |
#s(literal 1 binary64) |
#s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x) |
(/.f64 #s(literal 1 binary64) (log.f64 y)) |
(log.f64 y) |
y |
x |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2265625 | (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x) | |
| accuracy | 0.24609375 | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x))) | |
| accuracy | 0.265625 | (/.f64 #s(literal 1 binary64) (log.f64 y)) | |
| accuracy | 43.64229248533628 | #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x)) | |
| accuracy | 0 | (-.f64 (*.f64 (log.f64 y) x) z) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.265625 | (*.f64 (log.f64 y) x) | |
| accuracy | 20.81018289520579 | #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 | 0.24609375 | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) | |
| accuracy | 43.01498996020495 | #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 39.71379979050227 | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) | |
| accuracy | 0.265625 | (/.f64 #s(literal 1 binary64) (log.f64 y)) | |
| accuracy | 0.4684562988422101 | (pow.f64 (log.f64 y) #s(literal 2 binary64)) | |
| accuracy | 0.5498920853845289 | (/.f64 z (fma.f64 (log.f64 y) x z)) | |
| accuracy | 34.72512645354895 | #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) |
| 111.0ms | 256× | 0 | valid |
Compiled 229 to 28 computations (87.8% saved)
ival-log: 26.0ms (43.1% of total)ival-div: 9.0ms (14.9% of total)ival-mult: 9.0ms (14.9% of total)ival-neg: 4.0ms (6.6% of total)ival-pow: 4.0ms (6.6% of total)ival-sub: 3.0ms (5% of total)ival-pow2: 3.0ms (5% of total)ival-add: 2.0ms (3.3% 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) #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (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) #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (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) #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (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) #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (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 (/ 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 #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 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x)) (patch #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (log.f64 y)) (patch (/.f64 #s(literal 1 binary64) (log.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (patch #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) #<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) #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (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) #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (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) #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (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) #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (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) #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (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) #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (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) #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (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) #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (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) #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (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) #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (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) #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (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) #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (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) #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (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) #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (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) #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (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) #s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) (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 (/ 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>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | 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) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (- (* (log y) x) 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) (/ 1 (log y)) (/ x (+ (* (log y) x) z)) (/ z (+ (* (log y) x) z))) |
| 26.0ms | 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) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (- (* (log y) x) 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) (/ 1 (log y)) (/ x (+ (* (log y) x) z)) (/ z (+ (* (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) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (- (* (log y) x) 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) (/ 1 (log y)) (/ x (+ (* (log y) x) z)) (/ z (+ (* (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) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (- (* (log y) x) 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) (/ 1 (log y)) (/ x (+ (* (log y) x) z)) (/ z (+ (* (log y) x) z))) |
| 10.0ms | 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) (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (- (* (log y) x) 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) (/ 1 (log y)) (/ x (+ (* (log y) x) z)) (/ z (+ (* (log y) x) z))) |
| 1× | egg-herbie |
| 6 308× | lower-fma.f64 |
| 6 308× | lower-fma.f32 |
| 4 480× | lower-*.f64 |
| 4 480× | lower-*.f32 |
| 2 346× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 586 | 6904 |
| 1 | 1866 | 6494 |
| 2 | 6032 | 6326 |
| 0 | 8314 | 6170 |
| 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))) |
(/ 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) |
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(* -1 z) |
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(* -1 z) |
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(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
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(/ -1 z) |
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(/ (- (+ (/ 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) |
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(* z (- (/ (* x (log y)) z) (+ 1 (/ y z)))) |
(* -1 z) |
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(* -1 z) |
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(* 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) |
(/ 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 |
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(* -1 z) |
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(* -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) |
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(* -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))))) |
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(* -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)) |
(/ 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))))) |
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(* 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) |
(- (+ (* -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) |
(/ 1 (- (* x (log y)) z)) |
(+ (/ 1 (- (* x (log y)) z)) (/ y (pow (- (* x (log y)) z) 2))) |
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(* -1 y) |
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(* 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)))))))))) |
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(* x (pow (log (/ 1 y)) 2)) |
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(* 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) |
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(* -1 y) |
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(/ -1 y) |
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(/ (- (+ (/ z y) (/ (* (- z (* -1 (* x (log (/ 1 y))))) (- (* -1 (* x (log (/ 1 y)))) z)) (pow y 2))) (+ 1 (* -1 (/ (* x (log (/ 1 y))) y)))) y) |
(/ (- (+ (/ z y) (/ (* (- z (* -1 (* x (log (/ 1 y))))) (pow (- (* -1 (* x (log (/ 1 y)))) z) 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (log (/ 1 y))) y)) (* -1 (/ (* (- z (* -1 (* x (log (/ 1 y))))) (- (* -1 (* x (log (/ 1 y)))) z)) (pow y 2)))))) y) |
(/ -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) |
(/ (- (/ z y) (+ 1 (* -1 (/ (* x (log (/ 1 y))) y)))) y) |
(/ (- (+ (/ z y) (/ (* (- z (* -1 (* x (log (/ 1 y))))) (- (* -1 (* x (log (/ 1 y)))) z)) (pow y 2))) (+ 1 (* -1 (/ (* x (log (/ 1 y))) y)))) y) |
(/ (- (+ (/ z y) (/ (* (- z (* -1 (* x (log (/ 1 y))))) (pow (- (* -1 (* x (log (/ 1 y)))) z) 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (log (/ 1 y))) y)) (* -1 (/ (* (- z (* -1 (* x (log (/ 1 y))))) (- (* -1 (* x (log (/ 1 y)))) z)) (pow y 2)))))) y) |
(/ -1 (* x (log (/ 1 y)))) |
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(/ -1 (* x (log (/ 1 y)))) |
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(/ -1 (log (/ 1 y))) |
(/ -1 (log (/ 1 y))) |
(/ -1 (log (/ 1 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))))) |
(* -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 (/ (+ 1 (* -1 (/ (- z (* x (+ (log -1) (* -1 (log (/ -1 y)))))) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ z (/ (* (- z (* x (+ (log -1) (* -1 (log (/ -1 y)))))) (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)) y)) (* x (+ (log -1) (* -1 (log (/ -1 y)))))) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (- z (* x (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) 2)) y)) (* (- z (* x (+ (log -1) (* -1 (log (/ -1 y)))))) (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z))) y))) (* x (+ (log -1) (* -1 (log (/ -1 y)))))) y))) y)) |
(/ -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 (/ (+ 1 (* -1 (/ (- z (* x (+ (log -1) (* -1 (log (/ -1 y)))))) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ z (/ (* (- z (* x (+ (log -1) (* -1 (log (/ -1 y)))))) (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z)) y)) (* x (+ (log -1) (* -1 (log (/ -1 y)))))) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (- z (* x (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z) 2)) y)) (* (- z (* x (+ (log -1) (* -1 (log (/ -1 y)))))) (- (* x (+ (log -1) (* -1 (log (/ -1 y))))) z))) y))) (* x (+ (log -1) (* -1 (log (/ -1 y)))))) y))) y)) |
(/ 1 (* x (+ (log -1) (* -1 (log (/ -1 y)))))) |
(/ 1 (* x (+ (log -1) (* -1 (log (/ -1 y)))))) |
(/ 1 (* x (+ (log -1) (* -1 (log (/ -1 y)))))) |
(/ 1 (* x (+ (log -1) (* -1 (log (/ -1 y)))))) |
(/ 1 (+ (log -1) (* -1 (log (/ -1 y))))) |
(/ 1 (+ (log -1) (* -1 (log (/ -1 y))))) |
(/ 1 (+ (log -1) (* -1 (log (/ -1 y))))) |
(/ 1 (+ (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))))))) |
(/ 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)) |
(- (* -1 (/ (* x (log y)) (pow (+ y z) 2))) (/ 1 (+ y z))) |
(- (* x (- (* -1 (/ (* x (pow (log y) 2)) (pow (+ y z) 3))) (/ (log y) (pow (+ y z) 2)))) (/ 1 (+ y z))) |
(- (* x (- (* x (- (* -1 (/ (* x (pow (log y) 3)) (pow (+ y z) 4))) (/ (pow (log y) 2) (pow (+ y z) 3)))) (/ (log y) (pow (+ y z) 2)))) (/ 1 (+ 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 z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(- (* x (log y)) (+ y z)) |
(/ -1 (+ y z)) |
(- (* -1 (/ (* x (log y)) (pow (+ y z) 2))) (/ 1 (+ y z))) |
(- (* x (- (* -1 (/ (* x (pow (log y) 2)) (pow (+ y z) 3))) (/ (log y) (pow (+ y z) 2)))) (/ 1 (+ y z))) |
(- (* x (- (* x (- (* -1 (/ (* x (pow (log y) 3)) (pow (+ y z) 4))) (/ (pow (log y) 2) (pow (+ y z) 3)))) (/ (log y) (pow (+ y z) 2)))) (/ 1 (+ y z))) |
(/ 1 (* x (log y))) |
(/ 1 (* x (log y))) |
(/ 1 (* x (log y))) |
(/ 1 (* x (log 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)))) |
(/ 1 (* x (log y))) |
(/ (+ (/ 1 (log y)) (+ (/ y (* x (pow (log y) 2))) (/ z (* x (pow (log y) 2))))) x) |
(/ (- (+ (/ 1 (log y)) (/ (pow (+ y z) 2) (* (pow x 2) (pow (log y) 3)))) (* -1 (/ (+ y z) (* x (pow (log y) 2))))) 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) |
(* 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 z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(* x (+ (log y) (* -1 (/ (+ y z) x)))) |
(/ 1 (* x (log y))) |
(/ (+ (/ 1 (log y)) (+ (/ y (* x (pow (log y) 2))) (/ z (* x (pow (log y) 2))))) x) |
(/ (- (+ (/ 1 (log y)) (/ (pow (+ y z) 2) (* (pow x 2) (pow (log y) 3)))) (* -1 (/ (+ y z) (* x (pow (log y) 2))))) 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) |
(/ 1 (* x (log y))) |
(/ 1 (* x (log y))) |
(/ 1 (* x (log y))) |
(/ 1 (* x (log 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))))) |
(/ 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)) |
(* 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 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))) |
(/ 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) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
(- (+ (* -1 z) (* x (log y))) y) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
(- (+ (* -1 z) (* x (log y))) y) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 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) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
(- (+ (* -1 z) (* x (log y))) y) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
(- (+ (* -1 z) (* x (log y))) y) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(- (* x (log y)) y) |
(-.f64 (*.f64 (log.f64 y) x) y) |
(- (+ (* -1 z) (* x (log y))) y) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
(- (+ (* -1 z) (* x (log y))) y) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
(- (+ (* -1 z) (* x (log y))) y) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 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) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
(- (+ (* -1 z) (* x (log y))) y) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
(- (+ (* -1 z) (* x (log y))) y) |
(fma.f64 (log.f64 y) x (-.f64 (neg.f64 z) y)) |
(* x (log y)) |
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(/.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 (/.f64 #s(literal 1 binary64) (log.f64 y)) x) |
(/ 1 (* x (log y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x) |
(/ 1 (* x (log y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x) |
(/ 1 (* x (log y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (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 (log y)) (/ (pow z 2) (* (pow x 2) (pow (log y) 3)))) (/ z (* x (pow (log y) 2)))) |
(-.f64 (/.f64 (fma.f64 (/.f64 z (pow.f64 (log.f64 y) #s(literal 3 binary64))) (/.f64 z x) (/.f64 (neg.f64 z) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) x) (/.f64 #s(literal -1 binary64) (log.f64 y))) |
(- (+ (* -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)) |
(/ 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) |
(* 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 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (log.f64 y)) x) |
(/ 1 (* x (log y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x) |
(/ 1 (* x (log y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x) |
(/ 1 (* x (log y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (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 (fma.f64 (/.f64 z (pow.f64 (log.f64 y) #s(literal 3 binary64))) (/.f64 z x) (/.f64 (neg.f64 z) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) x) (/.f64 #s(literal -1 binary64) (log.f64 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))) |
(-.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))) x) (pow.f64 (log.f64 y) #s(literal 4 binary64)))) 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 (/.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) |
| 7 530× | lower-fma.f32 |
| 7 526× | lower-fma.f64 |
| 4 002× | lower-*.f32 |
| 3 996× | lower-*.f64 |
| 3 914× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 216 |
| 0 | 55 | 212 |
| 1 | 199 | 208 |
| 2 | 1291 | 208 |
| 0 | 8321 | 207 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.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 (/.f64 z (fma.f64 (log.f64 y) x z))))) y) |
(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 (/.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 (/ 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) |
#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 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x))) |
#s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x) |
(/.f64 #s(literal 1 binary64) (log.f64 y)) |
#s(approx (/ x (+ (* (log y) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 y))) |
(/.f64 z (fma.f64 (log.f64 y) x z)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ x (+ (* (log y) x) z)) (pow.f64 (log.f64 y) #s(literal -1 binary64))) (*.f64 x (pow.f64 (log.f64 y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (fma.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(approx (/ x (+ (* (log y) x) z)) (pow.f64 (log.f64 y) #s(literal -1 binary64))) (*.f64 x (pow.f64 (log.f64 y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) z y))))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 #s(approx (/ x (+ (* (log y) x) z)) (pow.f64 (log.f64 y) #s(literal -1 binary64))) x) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 6 binary64)) (pow.f64 (neg.f64 (fma.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) z y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 #s(approx (/ x (+ (* (log y) x) z)) (pow.f64 (log.f64 y) #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 4 binary64)) (-.f64 (pow.f64 (neg.f64 (fma.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) z y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (/ x (+ (* (log y) x) z)) (pow.f64 (log.f64 y) #s(literal -1 binary64))) (*.f64 x (pow.f64 (log.f64 y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 z (fma.f64 x (log.f64 y) z)) z y))))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(approx (/ x (+ (* (log y) x) z)) (pow.f64 (log.f64 y) #s(literal -1 binary64))) (*.f64 x (pow.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 z) (/.f64 z (fma.f64 x (log.f64 y) z)))) #s(literal 2 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (/ x (+ (* (log y) x) z)) (pow.f64 (log.f64 y) #s(literal -1 binary64))) (*.f64 x (pow.f64 (log.f64 y) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (/.f64 z (fma.f64 x (log.f64 y) z)) y))))) |
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(pow.f64 (pow.f64 (log.f64 y) #s(literal -1/2 binary64)) #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)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 y))) |
(/.f64 #s(literal 1 binary64) (log.f64 y)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (log.f64 y))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (log.f64 y))) |
(exp.f64 (neg.f64 (log.f64 (log.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (log.f64 y)) #s(literal -1 binary64))) |
#s(approx (/ x (+ (* (log y) x) z)) (pow.f64 (log.f64 y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (log.f64 y) z) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 x (log.f64 y) z) z) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (log.f64 y) z))) |
(*.f64 (/.f64 z #s(literal 1 binary64)) (pow.f64 (fma.f64 x (log.f64 y) z) #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 (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 z (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z (-.f64 z (*.f64 x (log.f64 y))) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 z (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 3 binary64)))) (fma.f64 z (-.f64 z (*.f64 x (log.f64 y))) (pow.f64 (*.f64 x (log.f64 y)) #s(literal 2 binary64)))) |
(*.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) (/.f64 #s(literal -1 binary64) (fma.f64 x (log.f64 y) z))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) (fma.f64 x (log.f64 y) z))) |
(*.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 (fma.f64 x (log.f64 y) z) z) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (fma.f64 x (log.f64 y) z) z) #s(literal -2 binary64))) (/.f64 (neg.f64 z) (fma.f64 x (log.f64 y) z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 z) (fma.f64 x (log.f64 y) z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (fma.f64 x (log.f64 y) z) z) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) (fma.f64 x (log.f64 y) z)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x (log.f64 y) z)) (*.f64 (neg.f64 (fma.f64 x (log.f64 y) z)) (neg.f64 z))) (*.f64 (neg.f64 (fma.f64 x (log.f64 y) z)) (fma.f64 x (log.f64 y) z))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x (log.f64 y) z) z)) (*.f64 (neg.f64 (fma.f64 x (log.f64 y) z)) #s(literal -1 binary64))) (*.f64 (neg.f64 (fma.f64 x (log.f64 y) z)) (/.f64 (fma.f64 x (log.f64 y) z) z))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 x (log.f64 y) z) z))) (*.f64 (neg.f64 (fma.f64 x (log.f64 y) z)) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 x (log.f64 y) z)) (neg.f64 (/.f64 (fma.f64 x (log.f64 y) z) z)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (log.f64 y) z))) (*.f64 (neg.f64 (fma.f64 x (log.f64 y) z)) z)) (*.f64 (neg.f64 (fma.f64 x (log.f64 y) z)) (neg.f64 (fma.f64 x (log.f64 y) z)))) |
(/.f64 (/.f64 z (-.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 z) (neg.f64 (fma.f64 x (log.f64 y) z))) |
(/.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 (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 #s(literal 0 binary64) (/.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))) |
(+.f64 #s(literal 0 binary64) (/.f64 z (fma.f64 x (log.f64 y) z))) |
Compiled 29 527 to 2 684 computations (90.9% saved)
24 alts after pruning (13 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 176 | 5 | 1 181 |
| Fresh | 1 | 8 | 9 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 178 | 24 | 1 202 |
| Status | Accuracy | Program |
|---|---|---|
| 33.3% | (pow.f64 (sqrt.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)) #s(literal 2 binary64)) | |
| ✓ | 31.4% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x))) |
| 31.5% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (log.f64 y))))) | |
| ✓ | 31.5% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)))) |
| 37.8% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) z))) | |
| ✓ | 32.5% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal -1 binary64) y))) |
| 88.5% | (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (fma.f64 (/.f64 (log.f64 y) z) x #s(literal -1 binary64)) z)) y) | |
| ✓ | 62.7% | (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) |
| 69.4% | (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) | |
| 18.6% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 (neg.f64 (*.f64 z z)) z)) | |
| 18.5% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z))))) | |
| 67.3% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (-.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (log.f64 y))) z)) | |
| ✓ | 67.4% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (-.f64 (*.f64 (log.f64 y) x) z)) |
| ✓ | 37.9% | #s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (neg.f64 z)) |
| 59.1% | #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))) | |
| ✓ | 62.7% | #s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y))) |
| 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)))) | |
| 13.6% | #s(approx (- (- (* x (log y)) z) y) (*.f64 (-.f64 (log.f64 (pow.f64 y #s(literal 3 binary64))) (log.f64 (fma.f64 y y #s(literal 0 binary64)))) x)) | |
| ✓ | 2.2% | #s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))) |
| ✓ | 31.5% | #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) |
| ✓ | 32.6% | #s(approx (- (- (* x (log y)) z) y) (neg.f64 y)) |
| 55.3% | #s(approx (- (- (* x (log y)) z) y) #s(approx (+ (* (log y) x) (neg y)) (*.f64 (fma.f64 (/.f64 (log.f64 y) y) x #s(literal -1 binary64)) y))) | |
| ✓ | 2.3% | #s(approx (- (- (* x (log y)) z) y) y) |
Compiled 638 to 330 computations (48.3% 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 (neg.f64 (*.f64 z z)) z)) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.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) 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 #s(literal 1 binary64) (/.f64 y (*.f64 y y)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z))))) |
#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 (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y))) |
#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 (- (- (* x (log y)) z) y) #s(approx (+ (* (log y) x) (neg y)) (*.f64 (fma.f64 (/.f64 (log.f64 y) y) x #s(literal -1 binary64)) 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))) |
(-.f64 #s(approx (- (* x (log y)) 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)) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (-.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (log.f64 y))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 (/.f64 #s(literal 1 binary64) (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)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (- (* (log y) x) z) y) -1) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (log.f64 y))))) |
(pow.f64 (sqrt.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (log.f64 y) x) z) y) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (-.f64 (log.f64 (pow.f64 y #s(literal 3 binary64))) (log.f64 (fma.f64 y y #s(literal 0 binary64)))) x)) |
(-.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 y) x) #s(literal 2 binary64))) (fma.f64 (log.f64 y) x z)) y) |
(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 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 (*.f64 (-.f64 (log.f64 (pow.f64 y #s(literal 3 binary64))) (log.f64 (fma.f64 y y #s(literal 0 binary64)))) 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 (*.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 (/.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) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x (log.f64 y)) (log.f64 y)) #s(literal 1 binary64)) (/.f64 x (-.f64 (*.f64 x (log.f64 y)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x (log.f64 y)) 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)) |
| Outputs |
|---|
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
4 calls:
| 14.0ms | x |
| 13.0ms | z |
| 13.0ms | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 11.0ms | y |
| 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 (neg.f64 (*.f64 z z)) z)) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.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) 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 #s(literal 1 binary64) (/.f64 y (*.f64 y y)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z))))) |
#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 (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y))) |
#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 |
|---|
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) |
(-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) |
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) |
4 calls:
| 11.0ms | z |
| 6.0ms | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 6.0ms | y |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.9% | 3 | x |
| 88.8% | 3 | y |
| 91.3% | 3 | z |
| 84.5% | 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 (neg.f64 (*.f64 z z)) z)) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.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) 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 #s(literal 1 binary64) (/.f64 y (*.f64 y y)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z))))) |
#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 (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (-.f64 (*.f64 (log.f64 y) x) z)) |
| Outputs |
|---|
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) |
#s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y))) |
#s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) |
1 calls:
| 7.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.3% | 3 | z |
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 (neg.f64 (*.f64 z z)) z)) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.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) 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 #s(literal 1 binary64) (/.f64 y (*.f64 y y)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z))))) |
#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)) |
| 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)) |
2 calls:
| 5.0ms | x |
| 5.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.9% | 3 | x |
| 76.4% | 2 | z |
Compiled 2 to 6 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 (neg.f64 (*.f64 z z)) z)) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.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) 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 #s(literal 1 binary64) (/.f64 y (*.f64 y y)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z))))) |
#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)) |
2 calls:
| 5.0ms | x |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.4% | 1 | y |
| 85.4% | 3 | x |
Compiled 2 to 6 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 (neg.f64 (*.f64 z z)) z)) |
#s(approx (- (- (* x (log y)) z) y) (*.f64 (*.f64 y y) (/.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) 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 #s(literal 1 binary64) (/.f64 y (*.f64 y y)))) |
#s(approx (/ 1 (pow (- (- (* (log y) x) z) y) -1)) (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z))))) |
| Outputs |
|---|
(-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) |
3 calls:
| 7.0ms | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 4.0ms | x |
| 4.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.4% | 1 | z |
| 69.4% | 1 | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 69.4% | 1 | x |
Compiled 10 to 13 computations (-30% 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:
| 10.0ms | x |
| 2.0ms | y |
| 2.0ms | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.2% | 3 | x |
| 57.2% | 2 | y |
| 51.2% | 2 | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 58.3% | 3 | z |
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 | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.6% | 1 | x |
| 32.6% | 1 | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 32.6% | 1 | z |
| 32.6% | 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:
| 5.0ms | y |
| 1.0ms | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.3% | 1 | z |
| 2.3% | 1 | (-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
| 2.3% | 1 | y |
| 2.3% | 1 | x |
Compiled 11 to 16 computations (-45.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 31446976.866493683 | 2821987008370168.5 |
| 16.0ms | -1.2040768932780637e-27 | -6.715018164763589e-38 |
| 15.0ms | 304× | 0 | valid |
Compiled 257 to 307 computations (-19.5% saved)
ival-log: 4.0ms (46.5% of total)ival-sub: 2.0ms (23.2% of total)ival-mult: 2.0ms (23.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 31446976.866493683 | 2821987008370168.5 |
| 1.0ms | -1.2040768932780637e-27 | -6.715018164763589e-38 |
Compiled 257 to 307 computations (-19.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 3.554558713785288e+136 | 1.280840872964442e+150 |
| 10.0ms | -0.8504424226539556 | -0.013388822048180185 |
| 26.0ms | 272× | 0 | valid |
Compiled 215 to 268 computations (-24.7% saved)
ival-log: 4.0ms (49.9% of total)ival-sub: 2.0ms (25% of total)ival-mult: 2.0ms (25% 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 |
|---|---|---|
| 15.0ms | 1.280840872964442e+150 | 7.798704426158902e+152 |
| 11.0ms | -5.977473165877318e+104 | -1.2229909386292335e+101 |
| 16.0ms | 256× | 0 | valid |
Compiled 171 to 237 computations (-38.6% saved)
ival-mult: 5.0ms (46.1% of total)ival-log: 3.0ms (27.7% of total)ival-sub: 2.0ms (18.4% 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 |
|---|---|---|
| 8.0ms | 1.0636653514505071e+56 | 4.874054407732128e+56 |
| 5.0ms | 96× | 0 | valid |
Compiled 47 to 85 computations (-80.9% saved)
ival-sub: 1.0ms (38.2% of total)ival-log: 1.0ms (38.2% of total)ival-mult: 1.0ms (38.2% 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 | 49 | 256 |
| 1 | 61 | 256 |
| 2 | 69 | 256 |
| 3 | 71 | 256 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y) |
(if (<=.f64 z #s(literal -6690223559559187/5575186299632655785383929568162090376495104 binary64)) (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) (if (<=.f64 z #s(literal 2000000000000000 binary64)) (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)))) |
(if (<=.f64 z #s(literal -6690223559559187/5575186299632655785383929568162090376495104 binary64)) (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) (if (<=.f64 z #s(literal 2000000000000000 binary64)) #s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y))) #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)))) |
(if (<=.f64 x #s(literal -7656119366529843/9007199254740992 binary64)) #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) (if (<=.f64 x #s(literal 43999999999999998966068866561584501405746147796931515246024229639330295986113689524914340751452459313634239061577868986993488494067712000 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 -42000000000000003263327066623490596715516503484791441111337112716199323235536979866592698974757176999936 binary64)) #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) (if (<=.f64 x #s(literal 18600000000000000115987259599479646241720507388166876881362549915623001269957051110774685069970363588530441284897191315690185845433491970234631805992960 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 145000000000000003525778919484870697476661272552818081792 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 z #s(literal -6690223559559187/5575186299632655785383929568162090376495104 binary64)) (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) (if (<=.f64 z #s(literal 2000000000000000 binary64)) (-.f64 #s(approx (- (* x (log y)) z) (*.f64 (log.f64 y) x)) y) #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)))) |
(if (<=.f64 z #s(literal -6690223559559187/5575186299632655785383929568162090376495104 binary64)) (-.f64 #s(approx (- (* x (log y)) z) (neg.f64 z)) y) (if (<=.f64 z #s(literal 2000000000000000 binary64)) #s(approx (- (- (* x (log y)) z) y) (fma.f64 (log.f64 y) x (neg.f64 y))) #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)))) |
(if (<=.f64 x #s(literal -7656119366529843/9007199254740992 binary64)) #s(approx (- (- (* x (log y)) z) y) (-.f64 (*.f64 (log.f64 y) x) z)) (if (<=.f64 x #s(literal 43999999999999998966068866561584501405746147796931515246024229639330295986113689524914340751452459313634239061577868986993488494067712000 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 -42000000000000003263327066623490596715516503484791441111337112716199323235536979866592698974757176999936 binary64)) #s(approx (- (- (* x (log y)) z) y) (*.f64 (log.f64 y) x)) (if (<=.f64 x #s(literal 18600000000000000115987259599479646241720507388166876881362549915623001269957051110774685069970363588530441284897191315690185845433491970234631805992960 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 145000000000000003525778919484870697476661272552818081792 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 |
| 5 202× | lower-fma.f32 |
| 5 198× | lower-fma.f64 |
| 4 146× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 140 |
| 0 | 37 | 128 |
| 1 | 161 | 120 |
| 2 | 1023 | 118 |
| 0 | 9310 | 118 |
| 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 197 to 124 computations (37.1% saved)
Compiled 280 to 100 computations (64.3% saved)
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