
Time bar (total: 9.7s)
| 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 14 to 12 computations (14.3% saved)
| 760.0ms | 8 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
ival-log: 182.0ms (37.9% of total)ival-add: 103.0ms (21.5% of total)ival-mult: 102.0ms (21.3% of total)ival-sub: 78.0ms (16.3% of total)ival-true: 6.0ms (1.3% of total)exact: 5.0ms (1% of total)ival-assert: 4.0ms (0.8% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 y #s(literal 1/2 binary64)) |
| 0 | 0 | - | 0 | - | (log.f64 y) |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) |
| 0 | 0 | - | 0 | - | (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 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 |
| 69.0ms | 512× | 0 | valid |
Compiled 109 to 34 computations (68.8% saved)
ival-sub: 36.0ms (69% of total)ival-log: 7.0ms (13.4% of total)ival-add: 5.0ms (9.6% of total)ival-mult: 3.0ms (5.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 2 112× | lower-fma.f64 |
| 2 112× | lower-fma.f32 |
| 504× | lower-+.f32 |
| 504× | lower--.f32 |
| 502× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 119 |
| 1 | 122 | 113 |
| 2 | 469 | 111 |
| 3 | 2025 | 110 |
| 4 | 5437 | 110 |
| 5 | 6897 | 110 |
| 0 | 10 | 12 |
| 0 | 16 | 12 |
| 1 | 30 | 12 |
| 2 | 80 | 12 |
| 3 | 291 | 12 |
| 4 | 827 | 12 |
| 5 | 2176 | 12 |
| 6 | 3121 | 12 |
| 7 | 3770 | 12 |
| 8 | 3849 | 12 |
| 9 | 3850 | 12 |
| 10 | 3850 | 12 |
| 11 | 3888 | 12 |
| 12 | 3897 | 12 |
| 13 | 3897 | 12 |
| 0 | 3897 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| Outputs |
|---|
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
(-.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 y #s(literal -1/2 binary64)) z) x)) |
Compiled 15 to 10 computations (33.3% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
Compiled 15 to 10 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) | |
| cost-diff | 0 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) | |
| cost-diff | 0 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) | |
| cost-diff | 128 | (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) |
| 2 112× | lower-fma.f64 |
| 2 112× | lower-fma.f32 |
| 504× | lower-+.f32 |
| 504× | lower--.f32 |
| 502× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 45 |
| 0 | 16 | 45 |
| 1 | 30 | 45 |
| 2 | 80 | 45 |
| 3 | 291 | 45 |
| 4 | 827 | 45 |
| 5 | 2176 | 45 |
| 6 | 3121 | 45 |
| 7 | 3770 | 45 |
| 8 | 3849 | 45 |
| 9 | 3850 | 45 |
| 10 | 3850 | 45 |
| 11 | 3888 | 45 |
| 12 | 3897 | 45 |
| 13 | 3897 | 45 |
| 0 | 3897 | 42 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) |
x |
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) |
(+.f64 y #s(literal 1/2 binary64)) |
y |
#s(literal 1/2 binary64) |
(log.f64 y) |
z |
| Outputs |
|---|
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
(-.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 y #s(literal -1/2 binary64)) z) x)) |
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) |
(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
x |
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) |
(*.f64 (log.f64 y) (-.f64 y #s(literal -1/2 binary64))) |
(+.f64 y #s(literal 1/2 binary64)) |
(-.f64 y #s(literal -1/2 binary64)) |
y |
#s(literal 1/2 binary64) |
(log.f64 y) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.01171875 | (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) | |
| accuracy | 0.08984375 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) | |
| accuracy | 0.12109375 | (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) |
| 22.0ms | 256× | 0 | valid |
Compiled 47 to 12 computations (74.5% saved)
ival-log: 3.0ms (29.3% of total)ival-add: 3.0ms (29.3% of total)ival-sub: 2.0ms (19.5% of total)ival-mult: 2.0ms (19.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ()) |
#s(alt (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) (patch (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (patch (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #<representation binary64>) () ()) |
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (* (log y) (+ 1/2 y))) (taylor 0 x) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- x (* (log y) (+ 1/2 y))) (taylor 0 x) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- x (* (log y) (+ 1/2 y))) (taylor 0 x) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- x (* (log y) (+ 1/2 y))) (taylor 0 x) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) (taylor inf x) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) (taylor inf x) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) (taylor inf x) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- x (* 1/2 (log y))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (log (/ 1 y))) (taylor inf y) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) (taylor inf y) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) (taylor inf y) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) (taylor inf y) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (log -1) (* -1 (log (/ -1 y)))))) (taylor -inf y) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) (taylor -inf y) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) (taylor -inf y) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) (taylor -inf y) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- y (+ z (* (log y) (+ 1/2 y)))) (taylor 0 x) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) (+ z (* (log y) (+ 1/2 y)))) (taylor 0 x) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) (+ z (* (log y) (+ 1/2 y)))) (taylor 0 x) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) (+ z (* (log y) (+ 1/2 y)))) (taylor 0 x) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) (taylor inf x) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) (taylor inf x) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) (taylor inf x) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- x (+ z (* 1/2 (log y)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ()) |
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#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 (+ (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>) () ())) ()) |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | y | @ | inf | (log y) |
| 18.0ms | y | @ | 0 | (log y) |
| 17.0ms | y | @ | -inf | (log y) |
| 6.0ms | y | @ | -inf | (- x (* (+ y 1/2) (log y))) |
| 5.0ms | x | @ | 0 | (- x (* (+ y 1/2) (log y))) |
| 1× | egg-herbie |
| 6 405× | lower-fma.f64 |
| 6 405× | lower-fma.f32 |
| 1 618× | lower-*.f64 |
| 1 618× | lower-*.f32 |
| 1 461× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 1322 |
| 1 | 415 | 1240 |
| 2 | 1319 | 1149 |
| 3 | 4703 | 1118 |
| 0 | 8535 | 1035 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 y))) |
(- x (* (log y) (+ 1/2 y))) |
x |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
x |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(- x (* 1/2 (log y))) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(* y (log (/ 1 y))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(- y (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(- x (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(- y (* (log y) (+ 1/2 y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
x |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(- x (* 1/2 (log y))) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* 1/2 (log y)) |
(+ (* 1/2 (log y)) (* y (log y))) |
(+ (* 1/2 (log y)) (* y (log y))) |
(+ (* 1/2 (log y)) (* y (log y))) |
(* -1 (* y (log (/ 1 y)))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(log y) |
(log y) |
(log y) |
(log y) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -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)))) |
| Outputs |
|---|
(* -1 (* (log y) (+ 1/2 y))) |
(*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) |
(- x (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
(- x (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
(- x (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
x |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
x |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
(- x (* 1/2 (log y))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) |
(* y (log (/ 1 y))) |
(*.f64 (neg.f64 y) (log.f64 y)) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (*.f64 (/.f64 x y) y)) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (*.f64 (/.f64 x y) y)) |
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (*.f64 (/.f64 x y) y)) |
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y)))))) |
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(*.f64 (-.f64 (/.f64 x y) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) y) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(*.f64 (-.f64 (/.f64 x y) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) y) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))) |
(*.f64 (-.f64 (/.f64 x y) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) y) |
(- y (+ z (* (log y) (+ 1/2 y)))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x)) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x)) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x)) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x) x x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x) x x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x) x x) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x) x x) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x) x x) |
(- x (+ z (* 1/2 (log y)))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) (-.f64 x z)) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x)) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x)) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x)) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(fma.f64 (neg.f64 y) (log.f64 y) y) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(fma.f64 (fma.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x z) y)) y y) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(fma.f64 (fma.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x z) y)) y y) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(fma.f64 (fma.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x z) y)) y y) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y y) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 (-.f64 x z) y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))) #s(literal 1 binary64)) y) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 (-.f64 x z) y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))) #s(literal 1 binary64)) y) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 (-.f64 x z) y) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))) #s(literal 1 binary64)) y) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal -1 binary64))) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal -1 binary64))) z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal -1 binary64))) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x)) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x)) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x)) |
(- y (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) |
x |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 (/.f64 y x) x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 (/.f64 y x) x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(fma.f64 (/.f64 y x) x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)) |
x |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(fma.f64 (/.f64 y x) x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(fma.f64 (/.f64 y x) x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(fma.f64 (/.f64 y x) x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)) |
(- x (* 1/2 (log y))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(fma.f64 (neg.f64 y) (log.f64 y) y) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 x y) y y)) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 x y) y y)) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 x y) y y)) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y y) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 (+.f64 (-.f64 (/.f64 x y) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) #s(literal 1 binary64)) y) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 (+.f64 (-.f64 (/.f64 x y) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) #s(literal 1 binary64)) y) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 (+.f64 (-.f64 (/.f64 x y) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) #s(literal 1 binary64)) y) |
(* 1/2 (log y)) |
(*.f64 #s(literal 1/2 binary64) (log.f64 y)) |
(+ (* 1/2 (log y)) (* y (log y))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) |
(+ (* 1/2 (log y)) (* y (log y))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) |
(+ (* 1/2 (log y)) (* y (log y))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 (log.f64 y) y) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y) |
(log y) |
(log.f64 y) |
(log y) |
(log.f64 y) |
(log y) |
(log.f64 y) |
(log 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 (log (/ 1 y))) |
(log.f64 y) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
| 4 507× | lower-fma.f64 |
| 4 507× | lower-fma.f32 |
| 2 777× | lower-*.f32 |
| 2 776× | lower-*.f64 |
| 2 017× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 38 |
| 0 | 16 | 38 |
| 1 | 79 | 38 |
| 2 | 699 | 38 |
| 0 | 8843 | 35 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) |
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) |
(log.f64 y) |
| Outputs |
|---|
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)) |
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (neg.f64 x)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x))))) |
(*.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x))) |
(*.f64 (fma.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x)) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x))))) |
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) (-.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) x))))) |
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x))) (fma.f64 x x (pow.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)) x (neg.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x))) (fma.f64 (*.f64 x x) (*.f64 x x) (+.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 x (log.f64 y)) (+.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)) x (neg.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x)))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) x) (neg.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)) x (+.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 x (log.f64 y)) (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) (/.f64 (*.f64 x x) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x))) (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)))) (+.f64 (/.f64 (*.f64 x x) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) (/.f64 (*.f64 x x) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) (fma.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) (*.f64 (/.f64 (*.f64 x x) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)))))) |
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(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) |
(fma.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x))) y) |
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) y) |
(fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1/2 binary64))) (neg.f64 (log.f64 y))) (+.f64 x y)) |
(fma.f64 (fma.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x)) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x)))) y) |
(fma.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) (-.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) x)))) y) |
(fma.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x))) y) |
(fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 x y))) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 x y))))) |
(fma.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)))) (neg.f64 (log.f64 y))) (+.f64 x y)) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 x y)) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (neg.f64 (log.f64 y)) (+.f64 x y)) |
(-.f64 (-.f64 (+.f64 y x) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) (*.f64 y (log.f64 y))) |
(-.f64 (-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) |
(-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) (*.f64 (log.f64 y) y)) |
(-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) |
(-.f64 (+.f64 (+.f64 y x) #s(literal 0 binary64)) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) |
(-.f64 (+.f64 y (/.f64 (*.f64 x x) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x))) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x))) |
(-.f64 (+.f64 y (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x)))) (/.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) y)) (/.f64 (pow.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) (neg.f64 y)) #s(literal 2 binary64)) (-.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) y))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) #s(literal 2 binary64)) (-.f64 y (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (*.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) (neg.f64 y)) (+.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) (neg.f64 y)) x)))) (/.f64 (pow.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) (neg.f64 y)) #s(literal 3 binary64)) (fma.f64 x x (*.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) (neg.f64 y)) (+.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) (neg.f64 y)) x))))) |
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) (-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) y)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x))) (-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x))) y)) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 x y))) (/.f64 (*.f64 y y) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 x y)))) |
(-.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) (neg.f64 y)) |
(-.f64 x (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) (neg.f64 y))) |
(+.f64 (+.f64 y (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y))) x) |
(+.f64 (+.f64 y x) (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 x y))) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 x y))))) |
(+.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) (+.f64 x y)) |
(+.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) y) |
(+.f64 y (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)) |
(+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64)) (log.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))))) |
(*.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (log.f64 y) (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))))) |
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1/2 binary64))) (log.f64 y))) |
(*.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)))) (log.f64 y))) |
(*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (log.f64 y)) (-.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1/4 binary64)) (log.f64 y)) (+.f64 (neg.f64 y) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64))) (log.f64 y)) (neg.f64 (fma.f64 y y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))))) |
(/.f64 (*.f64 (log.f64 y) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (-.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (*.f64 (log.f64 y) (fma.f64 (neg.f64 y) y #s(literal 1/4 binary64))) (+.f64 (neg.f64 y) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (log.f64 y) (neg.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 y y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) (*.f64 (*.f64 y (log.f64 y)) (*.f64 y (log.f64 y)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 y (log.f64 y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (log.f64 y)) (*.f64 y (log.f64 y))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))) (-.f64 (*.f64 y (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) (*.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) y))) (-.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) y)) (*.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (-.f64 (*.f64 (*.f64 y (log.f64 y)) (*.f64 y (log.f64 y))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 y (log.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (log.f64 y)) (*.f64 y (log.f64 y)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) (*.f64 (*.f64 y (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) y)) (*.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) y) (-.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) (*.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y))) (+.f64 (neg.f64 y) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64)) (log.f64 y))) (neg.f64 (fma.f64 y y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))))) |
(/.f64 (neg.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64)))) (+.f64 (neg.f64 y) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (*.f64 (log.f64 y) (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 y y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64)) (log.f64 y)) (+.f64 #s(literal 1/4 binary64) (*.f64 y (-.f64 y #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64)) (log.f64 y)) (fma.f64 y y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)))) |
(/.f64 (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) (-.f64 y #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (log.f64 y) (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 y (-.f64 y #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (log.f64 y) (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64))) (fma.f64 y y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))) (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64)) (log.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) (*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))) (*.f64 (log.f64 y) (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64))))) |
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))) |
(fma.f64 (log.f64 y) #s(literal 1/2 binary64) (*.f64 (log.f64 y) y)) |
(fma.f64 (log.f64 y) y (*.f64 (log.f64 y) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (log.f64 y) (*.f64 y (log.f64 y))) |
(fma.f64 y (log.f64 y) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) (*.f64 y (log.f64 y))) |
(+.f64 (*.f64 y (log.f64 y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) |
(+.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) (*.f64 (log.f64 y) y)) |
(+.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) |
(log.f64 y) |
Compiled 13 989 to 1 390 computations (90.1% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 442 | 15 | 457 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 443 | 15 | 458 |
| Status | Accuracy | Program |
|---|---|---|
| 69.0% | (fma.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)))) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z))) | |
| 80.4% | (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1/2 binary64))) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z))) | |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) |
| 99.8% | (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z) | |
| 69.0% | (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64)) (log.f64 y)) (+.f64 #s(literal 1/4 binary64) (*.f64 y (-.f64 y #s(literal 1/2 binary64)))))) y) z) | |
| 80.0% | (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) | |
| ▶ | 87.2% | (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) |
| 61.2% | (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (neg.f64 y) (log.f64 y))) y) z) | |
| ▶ | 99.9% | (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) |
| ▶ | 61.2% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (neg.f64 y) (log.f64 y) y)) z) |
| 73.0% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) | |
| 98.6% | (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) | |
| 66.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y))) | |
| 28.7% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (neg.f64 y) (log.f64 y) y)) | |
| ▶ | 34.6% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
Compiled 532 to 322 computations (39.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) | |
| cost-diff | 0 | #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) | |
| cost-diff | 0 | (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) | |
| cost-diff | 0 | (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) | |
| cost-diff | 0 | (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (fma.f64 (neg.f64 y) (log.f64 y) y) | |
| cost-diff | 0 | #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (neg.f64 y) (log.f64 y) y)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (neg.f64 y) (log.f64 y) y)) z) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) | |
| cost-diff | 0 | (-.f64 #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) | |
| cost-diff | 0 | (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) | |
| cost-diff | 0 | (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) |
| 2 520× | lower-fma.f32 |
| 2 517× | lower-fma.f64 |
| 628× | lower-+.f32 |
| 628× | lower--.f32 |
| 625× | lower-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 224 |
| 0 | 53 | 220 |
| 1 | 103 | 217 |
| 2 | 251 | 217 |
| 3 | 733 | 217 |
| 4 | 1825 | 217 |
| 5 | 3522 | 217 |
| 6 | 5048 | 217 |
| 7 | 5399 | 217 |
| 8 | 5462 | 217 |
| 9 | 5463 | 217 |
| 10 | 5463 | 217 |
| 11 | 5473 | 217 |
| 12 | 5477 | 217 |
| 13 | 5477 | 217 |
| 14 | 5496 | 217 |
| 0 | 5496 | 217 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) |
(+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) |
x |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(log.f64 y) |
z |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(neg.f64 z) |
z |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (neg.f64 y) (log.f64 y) y)) z) |
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (neg.f64 y) (log.f64 y) y)) |
(fma.f64 (neg.f64 y) (log.f64 y) y) |
(neg.f64 y) |
y |
(log.f64 y) |
z |
(-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) |
(+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) |
(-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) |
x |
#s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) |
(*.f64 (log.f64 y) y) |
(log.f64 y) |
y |
z |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(log.f64 y) |
(+.f64 x (-.f64 y z)) |
x |
(-.f64 y z) |
z |
| Outputs |
|---|
(-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 (+.f64 y x) z)) |
(+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) |
x |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(log.f64 y) |
z |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(neg.f64 z) |
z |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (neg.f64 y) (log.f64 y) y)) z) |
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (neg.f64 y) (log.f64 y) y)) |
(fma.f64 (neg.f64 y) (log.f64 y) y) |
(neg.f64 y) |
y |
(log.f64 y) |
z |
(-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) |
(-.f64 (-.f64 (+.f64 y x) z) #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) |
(+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) |
(-.f64 (+.f64 y x) #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) |
(-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) |
x |
#s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) |
(*.f64 (log.f64 y) y) |
(log.f64 y) |
y |
z |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 (+.f64 y x) z)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y) (-.f64 (-.f64 z y) x))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 (+.f64 y x) z)) |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(log.f64 y) |
(+.f64 x (-.f64 y z)) |
(-.f64 (+.f64 y x) z) |
x |
(-.f64 y z) |
z |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.0859375 | (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) | |
| accuracy | 0.19140625 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) | |
| accuracy | 0.666305268402292 | (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))) | |
| accuracy | 0.01171875 | (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) | |
| accuracy | 0.08984375 | (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) | |
| accuracy | 0.24609375 | (*.f64 (log.f64 y) y) | |
| accuracy | 31.553104871026267 | #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.28515625 | (fma.f64 (neg.f64 y) (log.f64 y) y) | |
| accuracy | 40.207416875734545 | #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (neg.f64 y) (log.f64 y) y)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 41.85830677015159 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) | |
| accuracy | 0 | (-.f64 #s(literal -1/2 binary64) y) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.0078125 | (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) | |
| accuracy | 0.16796875 | (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) |
| 60.0ms | 256× | 0 | valid |
Compiled 196 to 29 computations (85.2% saved)
ival-mult: 21.0ms (48.2% of total)ival-add: 8.0ms (18.4% of total)ival-sub: 6.0ms (13.8% of total)ival-div: 3.0ms (6.9% of total)ival-log: 3.0ms (6.9% of total)ival-neg: 2.0ms (4.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) (patch (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) #<representation binary64>) () ()) |
#s(alt (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) (patch (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal -1/2 binary64) y) (patch (-.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (neg.f64 y) (log.f64 y) y)) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (neg.f64 y) (log.f64 y) y)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (neg.f64 y) (log.f64 y) y)) (patch #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (neg.f64 y) (log.f64 y) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 y) (log.f64 y) y) (patch (fma.f64 (neg.f64 y) (log.f64 y) y) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) (patch (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) #<representation binary64>) () ()) |
#s(alt (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) (patch (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) (patch (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) (patch #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ()) |
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) (patch (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) (patch (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) (patch (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) (patch (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) (patch (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) (patch (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) (patch (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) (patch (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) (patch (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) (patch (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) (patch (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ x (* -1/2 (log y))) z) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) (patch (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) (taylor 0 x) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) (taylor inf x) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) (taylor inf x) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) (taylor inf x) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
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#s(alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) (taylor inf z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) (taylor inf z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) (taylor inf z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) (taylor -inf z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) (taylor -inf z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
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#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 (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 (+ (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 (* y (log y)) (taylor 0 y) (#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (log y)) (taylor 0 y) (#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (log y)) (taylor 0 y) (#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (log y)) (taylor 0 y) (#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf y) (#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf y) (#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf y) (#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf y) (#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ())) ()) |
111 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | x | @ | -inf | (- (+ (- x (* (+ y 1/2) (log y))) y) z) |
| 8.0ms | y | @ | 0 | (+ (* (neg y) (log y)) y) |
| 1.0ms | y | @ | inf | (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) |
| 1.0ms | y | @ | -inf | (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) |
| 1.0ms | y | @ | 0 | (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) |
| 1× | egg-herbie |
| 3 191× | lower-fma.f64 |
| 3 191× | lower-fma.f32 |
| 1 937× | lower-*.f64 |
| 1 937× | lower-*.f32 |
| 1 699× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 446 | 7116 |
| 1 | 1450 | 6667 |
| 2 | 4871 | 6484 |
| 0 | 8162 | 6083 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
x |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(- (+ x (* -1/2 (log y))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(* y (+ 1 (log (/ 1 y)))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(* -1 z) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(+ y (* -1 (* (log y) (+ 1/2 y)))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
x |
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(+ x (* -1/2 (log y))) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(* y (+ 1 (log (/ 1 y)))) |
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))) |
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))) |
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(* -1/2 (log y)) |
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))) |
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))) |
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))) |
(* y (+ 1 (log (/ 1 y)))) |
(* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y))))) |
(* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y))))) |
(* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y))))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))) 1))) |
-1/2 |
(- (* -1 y) 1/2) |
(- (* -1 y) 1/2) |
(- (* -1 y) 1/2) |
(* -1 y) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ 1 (* 1/2 (/ 1 y))))) |
(- y (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(- x (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
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(+ (* -1 (/ x (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2))) (/ 1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z))) |
(+ (* x (- (/ x (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 3)) (/ 1 (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2)))) (/ 1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 4))) (/ 1 (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 3)))) (/ 1 (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2)))) (/ 1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z))) |
(/ 1 x) |
(/ (- (+ 1 (/ z x)) (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) x) |
(/ (- (+ 1 (+ (* -1 (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) (pow x 2))) (/ z x))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) x) |
(/ (- (+ 1 (+ (/ z x) (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2)) (pow x 3)))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (+ (/ y x) (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) (pow x 2))))) x) |
(/ 1 x) |
(* -1 (/ (- (* -1 (/ (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) x))) (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2)) x)) (* -1 (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)))) x))) (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x)) |
(/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) |
(+ (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2))) |
(+ (* z (+ (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)) (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3)))) (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))) |
(+ (* z (+ (* z (+ (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3)) (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 4)))) (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)))) (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))) |
(/ -1 z) |
(/ (- (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)) 1) z) |
(/ (- (* -1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) (pow z 2))) (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))))) z) |
(/ (- (* -1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3) (pow z 3))) (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (+ (/ y z) (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) (pow z 2))))))) z) |
(/ -1 z) |
(* -1 (/ (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z)))) z)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) z)) (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) z))) z)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3) z) (* -1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2))) z)) (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) z))) z)) |
(- (+ x (* -1/2 (log y))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(* y (+ 1 (log (/ 1 y)))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
x |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(* -1 z) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(log y) |
(log y) |
(log y) |
(log y) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -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)))) |
(* y (log y)) |
(* y (log y)) |
(* y (log y)) |
(* y (log y)) |
(* -1 (* y (log (/ 1 y)))) |
(* -1 (* y (log (/ 1 y)))) |
(* -1 (* y (log (/ 1 y)))) |
(* -1 (* y (log (/ 1 y)))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
| Outputs |
|---|
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 x y) z)) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 x y) z)) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 x y) z)) |
x |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(+.f64 x (*.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x) x)) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(+.f64 x (*.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x) x)) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(+.f64 x (*.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x) x)) |
x |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x))) |
(- (+ x (* -1/2 (log y))) z) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) (-.f64 x z)) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 x y) z)) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 x y) z)) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 x y) z)) |
(* y (+ 1 (log (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(*.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (log.f64 y) y) #s(literal -1/2 binary64) (neg.f64 (log.f64 y))) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64)) y) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(*.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (log.f64 y) y) #s(literal -1/2 binary64) (neg.f64 (log.f64 y))) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64)) y) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(*.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (log.f64 y) y) #s(literal -1/2 binary64) (neg.f64 (log.f64 y))) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64)) y) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y y) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (-.f64 x z)) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (-.f64 x z)) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (-.f64 x z)) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 x y) z)) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 x y) z)) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 x y) z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(fma.f64 (+.f64 (/.f64 x z) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z)) z (neg.f64 z)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(fma.f64 (+.f64 (/.f64 x z) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z)) z (neg.f64 z)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(fma.f64 (+.f64 (/.f64 x z) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z)) z (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) z) z (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) z) z (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) z) z (neg.f64 z)) |
(+ y (* -1 (* (log y) (+ 1/2 y)))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) |
x |
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x) x x) |
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x) x x) |
(* x (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x)))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x))) x) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x))) x) |
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x))) x) |
(+ x (* -1/2 (log y))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) |
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) |
(* y (+ 1 (log (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) |
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))) |
(fma.f64 (-.f64 (fma.f64 (/.f64 (log.f64 y) y) #s(literal -1/2 binary64) (/.f64 x y)) (log.f64 y)) y y) |
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))) |
(fma.f64 (-.f64 (fma.f64 (/.f64 (log.f64 y) y) #s(literal -1/2 binary64) (/.f64 x y)) (log.f64 y)) y y) |
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))) |
(fma.f64 (-.f64 (fma.f64 (/.f64 (log.f64 y) y) #s(literal -1/2 binary64) (/.f64 x y)) (log.f64 y)) y y) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y y) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) x) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) x) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) x) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y) |
(* -1/2 (log y)) |
(*.f64 #s(literal -1/2 binary64) (log.f64 y)) |
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) |
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) |
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))) |
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(/ (- (* -1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3) (pow z 3))) (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (+ (/ y z) (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) (pow z 2))))))) z) |
(/.f64 (-.f64 (-.f64 (-.f64 #s(literal -1 binary64) (+.f64 (/.f64 x z) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z))) (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) #s(literal 2 binary64)) (*.f64 z z))) (pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) z) #s(literal 3 binary64))) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(* -1 (/ (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z)))) z)) |
(/.f64 (-.f64 #s(literal -1 binary64) (+.f64 (/.f64 x z) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z))) z) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) z)) (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) z))) z)) |
(/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) #s(literal 2 binary64)) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y))) z) #s(literal 1 binary64))) z) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3) z) (* -1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2))) z)) (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) z))) z)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) #s(literal 3 binary64)) z) (pow.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) #s(literal 2 binary64))) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y))) z) #s(literal 1 binary64)) (neg.f64 z)) |
(- (+ x (* -1/2 (log y))) z) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) (-.f64 x z)) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 x y) z)) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 x y) z)) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 x y) z)) |
(* y (+ 1 (log (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(*.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (log.f64 y) y) #s(literal -1/2 binary64) (neg.f64 (log.f64 y))) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64)) y) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(*.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (log.f64 y) y) #s(literal -1/2 binary64) (neg.f64 (log.f64 y))) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64)) y) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(*.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (log.f64 y) y) #s(literal -1/2 binary64) (neg.f64 (log.f64 y))) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64)) y) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y y) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (-.f64 x z)) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (-.f64 x z)) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (-.f64 x z)) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y) |
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 x y) z)) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 x y) z)) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 x y) z)) |
x |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(+.f64 x (*.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x) x)) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(+.f64 x (*.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x) x)) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(+.f64 x (*.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x) x)) |
x |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 x y) z)) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 x y) z)) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 x y) z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(fma.f64 (+.f64 (/.f64 x z) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z)) z (neg.f64 z)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(fma.f64 (+.f64 (/.f64 x z) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z)) z (neg.f64 z)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(fma.f64 (+.f64 (/.f64 x z) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z)) z (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) z) z (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) z) z (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) z) z (neg.f64 z)) |
(log y) |
(log.f64 y) |
(log y) |
(log.f64 y) |
(log y) |
(log.f64 y) |
(log 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 (log (/ 1 y))) |
(log.f64 y) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(* y (log y)) |
(*.f64 (log.f64 y) y) |
(* y (log y)) |
(*.f64 (log.f64 y) y) |
(* y (log y)) |
(*.f64 (log.f64 y) y) |
(* y (log y)) |
(*.f64 (log.f64 y) y) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 (log.f64 y) y) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 (log.f64 y) y) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 (log.f64 y) y) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 (log.f64 y) y) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) |
| 3 284× | lower-*.f32 |
| 3 283× | lower-*.f64 |
| 2 095× | lower-fma.f32 |
| 2 092× | lower-fma.f64 |
| 1 754× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 192 |
| 0 | 53 | 188 |
| 1 | 284 | 185 |
| 2 | 2701 | 185 |
| 0 | 9662 | 185 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) |
(+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) |
(-.f64 #s(literal -1/2 binary64) y) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(neg.f64 z) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (neg.f64 y) (log.f64 y) y)) z) |
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (neg.f64 y) (log.f64 y) y)) |
(fma.f64 (neg.f64 y) (log.f64 y) y) |
(neg.f64 y) |
(-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) |
(+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) |
(-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) |
#s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) |
(log.f64 y) |
(*.f64 (log.f64 y) y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (*.f64 (+.f64 (-.f64 y z) x) (+.f64 (-.f64 y z) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (neg.f64 (+.f64 (-.f64 y z) x))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 (-.f64 y z) x) (+.f64 (-.f64 y z) x)) (+.f64 (-.f64 y z) x) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (-.f64 y z) x) (-.f64 (+.f64 (-.f64 y z) x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (-.f64 y z) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (-.f64 y z) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (-.f64 y z) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (-.f64 y z) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (+.f64 z y))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (*.f64 (+.f64 (-.f64 y z) x) (+.f64 (-.f64 y z) x))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (neg.f64 (+.f64 (-.f64 y z) x)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (+.f64 z y)) (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 (-.f64 y z) x) (+.f64 (-.f64 y z) x)) (+.f64 (-.f64 y z) x) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (-.f64 y z) x) (-.f64 (+.f64 (-.f64 y z) x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (-.f64 y z) x)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (-.f64 y z) x)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (+.f64 z y)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (*.f64 (+.f64 (-.f64 y z) x) (+.f64 (-.f64 y z) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (neg.f64 (+.f64 (-.f64 y z) x))))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (*.f64 (+.f64 (-.f64 y z) x) (+.f64 (-.f64 y z) x))) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (neg.f64 (+.f64 (-.f64 y z) x)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z)) (+.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (*.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)) (neg.f64 z))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z)) (fma.f64 z (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (+.f64 z y)) (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (+.f64 (-.f64 y z) x) (+.f64 (-.f64 y z) x)) (+.f64 (-.f64 y z) x) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (-.f64 y z) x) (-.f64 (+.f64 (-.f64 y z) x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 (+.f64 (-.f64 y z) x) (+.f64 (-.f64 y z) x)) (+.f64 (-.f64 y z) x) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (+.f64 (-.f64 y z) x) (+.f64 (-.f64 y z) x) (-.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 (-.f64 y z) x))))) |
(/.f64 (fma.f64 (*.f64 (+.f64 (-.f64 y z) x) (+.f64 (-.f64 y z) x)) (+.f64 (-.f64 y z) x) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (+.f64 (-.f64 y z) x) (-.f64 (+.f64 (-.f64 y z) x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (-.f64 y z) x))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (-.f64 y z) x)))) |
(/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (-.f64 y z) x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (neg.f64 (+.f64 (-.f64 y z) x))) (-.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (*.f64 (+.f64 (-.f64 y z) x) (+.f64 (-.f64 y z) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (-.f64 y z) x) (-.f64 (+.f64 (-.f64 y z) x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (fma.f64 (*.f64 (+.f64 (-.f64 y z) x) (+.f64 (-.f64 y z) x)) (+.f64 (-.f64 y z) x) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (+.f64 z y)) (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)) #s(literal 2 binary64)) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (+.f64 z y)) (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (-.f64 y z) x)))) |
(neg.f64 (neg.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (-.f64 y z) x)))) |
(fma.f64 (neg.f64 (log.f64 y)) (+.f64 #s(literal 1/2 binary64) y) (+.f64 (-.f64 y z) x)) |
(fma.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 z y)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(fma.f64 (fma.f64 x x (neg.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) x)) (-.f64 y z)) |
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y))) (neg.f64 z)) |
(fma.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (neg.f64 y))) (-.f64 x z)) |
(fma.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (neg.f64 y))) (+.f64 x (neg.f64 z))) |
(fma.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) y))) (neg.f64 z)) |
(fma.f64 (*.f64 (+.f64 (-.f64 y z) x) (-.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (-.f64 x (-.f64 y z))) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z y) (*.f64 y y))) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(fma.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) x) (*.f64 x x))) (-.f64 y z)) |
(fma.f64 (fma.f64 (*.f64 x x) x (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) (*.f64 x x))) (neg.f64 z)) |
(fma.f64 (fma.f64 (*.f64 y y) y (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)))) (-.f64 x z)) |
(fma.f64 (fma.f64 (*.f64 y y) y (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)))) (+.f64 x (neg.f64 z))) |
(fma.f64 (fma.f64 (*.f64 y y) y (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64)))) (neg.f64 z)) |
(fma.f64 (fma.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) x) (*.f64 x x))) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) (+.f64 (-.f64 y z) x)) |
(fma.f64 #s(literal -1 binary64) z (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x))) |
(fma.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 y z) x) #s(literal 1 binary64))) |
(fma.f64 (+.f64 (-.f64 y z) x) #s(literal 1 binary64) (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 y z) x))) |
(fma.f64 #s(literal 1 binary64) (+.f64 (-.f64 y z) x) (*.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (*.f64 #s(literal 1 binary64) (-.f64 y z))) |
(fma.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) #s(literal 1 binary64) (*.f64 (-.f64 y z) #s(literal 1 binary64))) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (neg.f64 (log.f64 y)) (+.f64 (-.f64 y z) x)) |
(fma.f64 z #s(literal -1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (-.f64 y z) x)) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 (-.f64 y z) x)) |
(-.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)) #s(literal 0 binary64)) z) |
(-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (neg.f64 (+.f64 (-.f64 y z) x)))) (/.f64 (*.f64 (+.f64 (-.f64 y z) x) (+.f64 (-.f64 y z) x)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (neg.f64 (+.f64 (-.f64 y z) x))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)) #s(literal 2 binary64)) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (+.f64 z y))) (/.f64 (*.f64 z z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (+.f64 z y)))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)) #s(literal 3 binary64)) (fma.f64 z (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (+.f64 z y)) (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 z (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (+.f64 z y)) (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)) #s(literal 2 binary64))))) |
(-.f64 (+.f64 y x) (-.f64 z (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))) |
(-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)) z) |
(-.f64 x (+.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) (neg.f64 y)) z)) |
(-.f64 x (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) (neg.f64 y)) (neg.f64 z))) |
(-.f64 x (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) (-.f64 y z))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (-.f64 y z) x))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (-.f64 y z) x)))) |
(+.f64 (*.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) #s(literal 1 binary64)) (*.f64 (-.f64 y z) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 y z) x) #s(literal 1 binary64))) |
(+.f64 (*.f64 (+.f64 (-.f64 y z) x) #s(literal 1 binary64)) (*.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (*.f64 #s(literal 1 binary64) (-.f64 y z))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 y z) x))) |
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 y z) x)) (*.f64 #s(literal 1 binary64) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 y z)) x) |
(+.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (+.f64 (-.f64 y z) x)) |
(+.f64 (+.f64 (-.f64 y z) x) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) |
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) |
(+.f64 (neg.f64 z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x))) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (-.f64 y z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)) (neg.f64 z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) (-.f64 x z)) |
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) (+.f64 x (neg.f64 z))) |
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) z)) |
(+.f64 y (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (neg.f64 z))) |
(+.f64 x (+.f64 (-.f64 y z) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)))) |
(+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 y z))) |
(log.f64 y) |
(*.f64 (log.f64 y) y) |
(*.f64 y (log.f64 y)) |
Compiled 101 061 to 4 196 computations (95.8% saved)
19 alts after pruning (17 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 201 | 11 | 2 212 |
| Fresh | 4 | 6 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 208 | 19 | 2 227 |
| Status | Accuracy | Program |
|---|---|---|
| 69.0% | (fma.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)))) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z))) | |
| 80.4% | (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1/2 binary64))) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z))) | |
| 28.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)))) | |
| 27.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) | |
| 34.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z))) | |
| ▶ | 87.3% | (-.f64 (-.f64 x (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y)) z) |
| 69.0% | (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64)) (log.f64 y)) (+.f64 #s(literal 1/4 binary64) (*.f64 y (-.f64 y #s(literal 1/2 binary64)))))) y) z) | |
| ▶ | 80.0% | (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) |
| 87.1% | (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) | |
| ✓ | 61.2% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (neg.f64 y) (log.f64 y) y)) z) |
| 73.0% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) | |
| 61.2% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 y (*.f64 (log.f64 y) y))) z) | |
| ▶ | 98.6% | (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) |
| 81.4% | #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) z) z (neg.f64 z))) | |
| 66.3% | #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y))) | |
| ▶ | 28.7% | #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
| 4.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) | |
| ▶ | 14.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
| ✓ | 34.6% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
Compiled 618 to 373 computations (39.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) | |
| cost-diff | 0 | (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) | |
| cost-diff | 128 | (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) | |
| cost-diff | 0 | (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y) | |
| cost-diff | 0 | (-.f64 x (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y)) | |
| cost-diff | 0 | (-.f64 (-.f64 x (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y)) z) | |
| cost-diff | 0 | (log.f64 y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (log.f64 y)) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) | |
| cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) | |
| cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) | |
| cost-diff | 64 | (-.f64 #s(literal 0 binary64) (*.f64 z z)) | |
| cost-diff | 192 | (+.f64 #s(literal 0 binary64) z) | |
| cost-diff | 1024 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) | |
| cost-diff | 0 | (-.f64 #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) | |
| cost-diff | 320 | (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))))) | |
| cost-diff | 15744 | (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) |
| 3 646× | lower-fma.f32 |
| 3 643× | lower-fma.f64 |
| 1 497× | lower--.f32 |
| 1 487× | lower--.f64 |
| 1 306× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 345 |
| 0 | 82 | 358 |
| 1 | 158 | 351 |
| 2 | 467 | 295 |
| 3 | 2177 | 295 |
| 4 | 5150 | 295 |
| 0 | 8646 | 292 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(log.f64 y) |
(+.f64 x (+.f64 y z)) |
x |
(+.f64 y z) |
z |
(*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) |
(+.f64 x (-.f64 y z)) |
(-.f64 y z) |
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))) |
#s(literal 1 binary64) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 z z)) |
#s(literal 0 binary64) |
(*.f64 z z) |
z |
(+.f64 #s(literal 0 binary64) z) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) |
(-.f64 #s(literal 1 binary64) (log.f64 y)) |
#s(literal 1 binary64) |
(log.f64 y) |
y |
(-.f64 (-.f64 x (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y)) z) |
(-.f64 x (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y)) |
x |
(-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y) |
#s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) |
(*.f64 (log.f64 y) y) |
(log.f64 y) |
y |
z |
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) |
(+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) |
(-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) |
x |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) |
(fma.f64 y y #s(literal -1/4 binary64)) |
y |
#s(literal -1/4 binary64) |
(log.f64 y) |
(-.f64 y #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
z |
| Outputs |
|---|
(*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 (+.f64 x y) z)) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (+.f64 x y) z)) |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(log.f64 y) |
(+.f64 x (+.f64 y z)) |
(+.f64 (+.f64 x y) z) |
x |
(+.f64 y z) |
(+.f64 z y) |
z |
(*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))))) |
(/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 (+.f64 x y) z)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (+.f64 x y) z))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) |
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 (+.f64 x y) z)) |
(+.f64 x (-.f64 y z)) |
(-.f64 (+.f64 x y) z) |
(-.f64 y z) |
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (+.f64 x y) z))) |
#s(literal 1 binary64) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
(neg.f64 z) |
(-.f64 #s(literal 0 binary64) (*.f64 z z)) |
(*.f64 (neg.f64 z) z) |
#s(literal 0 binary64) |
(*.f64 z z) |
z |
(+.f64 #s(literal 0 binary64) z) |
z |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (neg.f64 y) (log.f64 y) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) |
(fma.f64 (neg.f64 y) (log.f64 y) y) |
(-.f64 #s(literal 1 binary64) (log.f64 y)) |
#s(literal 1 binary64) |
(log.f64 y) |
y |
(-.f64 (-.f64 x (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y)) z) |
(-.f64 (-.f64 (+.f64 x y) z) #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) |
(-.f64 x (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y)) |
(-.f64 (+.f64 x y) #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) |
x |
(-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y) |
#s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) |
(*.f64 (log.f64 y) y) |
(log.f64 y) |
y |
z |
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) |
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 y) (-.f64 (+.f64 x y) z)) |
(+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) |
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 y) (+.f64 x y)) |
(-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 y) x) |
x |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 y #s(literal 1/2 binary64))) (log.f64 y)) |
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) |
(fma.f64 y y #s(literal -1/4 binary64)) |
y |
#s(literal -1/4 binary64) |
(log.f64 y) |
(-.f64 y #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) | |
| accuracy | 0.08984375 | (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) | |
| accuracy | 0.1171875 | (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) | |
| accuracy | 12.813738679039945 | (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))) | |
| accuracy | 0.0078125 | (-.f64 x (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y)) | |
| accuracy | 0.11328125 | (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y) | |
| accuracy | 0.24609375 | (*.f64 (log.f64 y) y) | |
| accuracy | 31.553104871026267 | #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) | |
| accuracy | 0 | (log.f64 y) | |
| accuracy | 0.0078125 | (-.f64 #s(literal 1 binary64) (log.f64 y)) | |
| accuracy | 0.29296875 | (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) | |
| accuracy | 45.59188503535058 | #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) | |
| accuracy | 0 | (+.f64 #s(literal 0 binary64) z) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 30.17633518708956 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) | |
| accuracy | 41.85830677015159 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) | |
| accuracy | 0.08203125 | (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) | |
| accuracy | 0.0859375 | (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) | |
| accuracy | 0.654586518402292 | (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))) | |
| accuracy | 0.87109375 | (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))))) |
| 83.0ms | 256× | 0 | valid |
Compiled 325 to 47 computations (85.5% saved)
ival-mult: 17.0ms (29.6% of total)ival-sub: 15.0ms (26.1% of total)ival-add: 11.0ms (19.1% of total)ival-div: 10.0ms (17.4% of total)ival-log: 4.0ms (7% of total)exact: 1.0ms (1.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) (patch (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))))) (patch (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal -1/2 binary64) y) (patch (-.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) (patch #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) #<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 (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 x (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y)) z) (patch (-.f64 (-.f64 x (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y)) z) #<representation binary64>) () ()) |
#s(alt (-.f64 x (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y)) (patch (-.f64 x (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y) (patch (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) (patch #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) (patch (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) #<representation binary64>) () ()) |
#s(alt (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) (patch (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))) (patch (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ()) |
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ()) |
#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (patch (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (+ x (* -1/2 (log y))) z) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) (patch (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) (patch (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) (patch (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) (patch (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) (patch (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) (patch (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) (patch (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) (patch (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) (patch (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) (patch (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) (patch (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) (patch (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) (patch (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) (patch (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) (patch (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) (patch (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) (patch (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) #<representation binary64>) () ())) ()) |
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#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt (* y (log y)) (taylor 0 y) (#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (log y)) (taylor 0 y) (#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (log y)) (taylor 0 y) (#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (log y)) (taylor 0 y) (#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf y) (#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf y) (#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf y) (#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf y) (#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (log y)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (patch (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/4 (log y)) (* (pow y 2) (log y))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (patch (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/4 (log y)) (* (pow y 2) (log y))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (patch (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/4 (log y)) (* (pow y 2) (log y))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (patch (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow y 2) (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (patch (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2))))) (taylor inf y) (#s(alt (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (patch (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2))))) (taylor inf y) (#s(alt (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (patch (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2))))) (taylor inf y) (#s(alt (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (patch (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (patch (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2)))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (patch (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2)))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (patch (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2)))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (patch (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) #<representation binary64>) () ())) ()) |
138 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | y | @ | inf | (* (- 1 (log y)) y) |
| 15.0ms | y | @ | -inf | (* (- 1 (log y)) y) |
| 2.0ms | x | @ | 0 | (* (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (+ y z))))) |
| 1.0ms | y | @ | -inf | (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (+ y z)))) |
| 1.0ms | y | @ | 0 | (* (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (+ y z))))) |
| 1× | egg-herbie |
| 3 470× | lower-fma.f64 |
| 3 470× | lower-fma.f32 |
| 2 660× | lower-*.f64 |
| 2 660× | lower-*.f32 |
| 2 498× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 756 | 10389 |
| 1 | 2529 | 9517 |
| 0 | 8235 | 9168 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ x (* -1/2 (log y))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(* y (+ 1 (log (/ 1 y)))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
x |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(* -1 z) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(/ (- (+ x (* -1/2 (log y))) z) (+ x (+ z (* -1/2 (log y))))) |
(- (+ (* -1/2 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (+ (* y (- (+ (* -1 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (/ 1 (+ x (+ z (* -1/2 (log y)))))) (/ (* (+ 1 (* -1 (log y))) (- (+ x (* -1/2 (log y))) z)) (pow (+ x (+ z (* -1/2 (log y)))) 2)))) (/ x (+ x (+ z (* -1/2 (log y))))))) (/ z (+ x (+ z (* -1/2 (log y)))))) |
(- (+ (* -1/2 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (+ (* y (- (+ (* -1 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (+ (* -1 (/ (* y (* (+ 1 (* -1 (log y))) (- (+ (* -1 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (/ 1 (+ x (+ z (* -1/2 (log y)))))) (/ (* (+ 1 (* -1 (log y))) (- (+ x (* -1/2 (log y))) z)) (pow (+ x (+ z (* -1/2 (log y)))) 2))))) (+ x (+ z (* -1/2 (log y)))))) (/ 1 (+ x (+ z (* -1/2 (log y))))))) (/ (* (+ 1 (* -1 (log y))) (- (+ x (* -1/2 (log y))) z)) (pow (+ x (+ z (* -1/2 (log y)))) 2)))) (/ x (+ x (+ z (* -1/2 (log y))))))) (/ z (+ x (+ z (* -1/2 (log y)))))) |
(- (+ (* -1/2 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (+ (* y (- (+ (* -1 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (+ (* y (- (/ (* y (* (pow (+ 1 (* -1 (log y))) 2) (- (+ (* -1 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (/ 1 (+ x (+ z (* -1/2 (log y)))))) (/ (* (+ 1 (* -1 (log y))) (- (+ x (* -1/2 (log y))) z)) (pow (+ x (+ z (* -1/2 (log y)))) 2))))) (pow (+ x (+ z (* -1/2 (log y)))) 2)) (/ (* (+ 1 (* -1 (log y))) (- (+ (* -1 (/ (log y) (+ x (+ z (* -1/2 (log y)))))) (/ 1 (+ x (+ z (* -1/2 (log y)))))) (/ (* (+ 1 (* -1 (log y))) (- (+ x (* -1/2 (log y))) z)) (pow (+ x (+ z (* -1/2 (log y)))) 2)))) (+ x (+ z (* -1/2 (log y))))))) (/ 1 (+ x (+ z (* -1/2 (log y))))))) (/ (* (+ 1 (* -1 (log y))) (- (+ x (* -1/2 (log y))) z)) (pow (+ x (+ z (* -1/2 (log y)))) 2)))) (/ x (+ x (+ z (* -1/2 (log y))))))) (/ z (+ x (+ z (* -1/2 (log y)))))) |
1 |
(+ 1 (* -2 (/ z (* y (+ 1 (log (/ 1 y))))))) |
(- (+ 1 (* 2 (/ (* z (+ x (+ z (* 1/2 (log (/ 1 y)))))) (* (pow y 2) (pow (+ 1 (log (/ 1 y))) 2))))) (* 2 (/ z (* y (+ 1 (log (/ 1 y))))))) |
(- (+ 1 (* -2 (/ (* z (pow (+ x (+ z (* 1/2 (log (/ 1 y))))) 2)) (* (pow y 3) (pow (+ 1 (log (/ 1 y))) 3))))) (+ (* -2 (/ (* z (+ x (+ z (* 1/2 (log (/ 1 y)))))) (* (pow y 2) (pow (+ 1 (log (/ 1 y))) 2)))) (* 2 (/ z (* y (+ 1 (log (/ 1 y)))))))) |
1 |
(+ 1 (* 2 (/ z (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))))) |
(+ 1 (* -1 (/ (- (* -2 (/ (* z (+ x (+ z (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))))) (* y (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)))) (* 2 (/ z (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (* z (pow (+ x (+ z (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) 2)) (* y (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 3)))) (* -2 (/ (* z (+ x (+ z (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)))) y)) (* 2 (/ z (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))) y))) |
(/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))))) (+ (* x (- (+ (/ 1 (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))) (/ z (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2))) (/ y (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2))))) (/ y (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))))) (/ z (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))))) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))))) (+ (* x (- (+ (* x (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 3))) (/ y (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 3))) (+ (/ 1 (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2)) (/ z (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 3))))) (+ (/ 1 (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))) (/ z (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2)))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2))) (/ y (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2))))) (/ y (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))))) (/ z (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))))) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))))) (+ (* x (- (+ (* x (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 3))) (+ (* x (- (+ (/ 1 (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 3)) (/ z (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 4))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 4))) (/ y (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 4))))) (/ y (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 3)))) (+ (/ 1 (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2)) (/ z (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 3))))) (+ (/ 1 (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))) (/ z (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2)))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2))) (/ y (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2))))) (/ y (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))))) (/ z (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))))) |
1 |
(+ 1 (* -2 (/ z x))) |
(- (+ 1 (* 2 (/ (* z (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))) (pow x 2)))) (* 2 (/ z x))) |
(- (+ 1 (* -2 (/ (* z (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2)) (pow x 3)))) (+ (* -2 (/ (* z (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))) (pow x 2))) (* 2 (/ z x)))) |
1 |
(+ 1 (* -1 (/ (- (* -1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) (* -1 (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))))) x))) |
(+ 1 (* -1 (/ (- (+ (* -1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) (* -1 (/ (* (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) (- (* -1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) (* -1 (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))))) x))) (* -1 (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))))) x))) |
(+ 1 (* -1 (/ (- (+ (* -1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) (* -1 (/ (- (* -1 (/ (* (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2) (- (* -1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) (* -1 (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))))) x)) (* -1 (* (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) (- (* -1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) (* -1 (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))))))) x))) (* -1 (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))))) x))) |
1 |
(+ 1 (* -2 (/ z (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))))) |
(+ 1 (* z (- (* 2 (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2))) (* 2 (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))))))) |
(+ 1 (* z (- (* z (+ (* -2 (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3))) (* 2 (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2))))) (* 2 (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))))))) |
-1 |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (* -1 (/ (* (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (* -1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))))) (pow z 2))) (+ (/ x z) (/ y z)))) (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))) |
(- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (+ (/ y z) (/ (* (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (* -1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))))) (pow z 3))))) (+ 1 (+ (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)) (/ (* (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (* -1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))))) (pow z 2))))) |
-1 |
(- (* -1 (/ (- (* -1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) z)) 1) |
(- (* -1 (/ (- (+ (* -1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) (* -1 (/ (* (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (* -1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))) z))) (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) z)) 1) |
(- (* -1 (/ (- (+ (* -1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) (* -1 (/ (- (* -1 (/ (* (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) (- (* -1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))) z)) (* -1 (* (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (* -1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))))) z))) (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) z)) 1) |
(+ x (+ z (* -1/2 (log y)))) |
(+ x (+ z (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))) |
(+ x (+ z (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))) |
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(- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2)))))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2)))))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2)))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) z))))) |
(- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) |
(- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) |
(- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) |
(- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) |
x |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))))) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))))) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))))) |
x |
(* -1 (* x (- (* -1 (/ (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) x)) 1))) |
(- x (* 1/2 (log y))) |
(- (+ x (* y (+ 1 (* -1 (log y))))) (* 1/2 (log y))) |
(- (+ x (* y (+ 1 (* -1 (log y))))) (* 1/2 (log y))) |
(- (+ x (* y (+ 1 (* -1 (log y))))) (* 1/2 (log y))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (* -1 (log (/ 1 y))))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* 1/2 (log y)) |
(+ (* 1/2 (log y)) (* y (log y))) |
(+ (* 1/2 (log y)) (* y (log y))) |
(+ (* 1/2 (log y)) (* y (log y))) |
(* -1 (* y (log (/ 1 y)))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) |
(/ 1 (+ x (+ z (* -1/2 (log y))))) |
(+ (* -1 (* y (+ (* -1 (/ (log y) (pow (+ x (+ z (* -1/2 (log y)))) 2))) (/ 1 (pow (+ x (+ z (* -1/2 (log y)))) 2))))) (/ 1 (+ x (+ z (* -1/2 (log y)))))) |
(+ (* y (- (/ (* y (* (+ 1 (* -1 (log y))) (+ (* -1 (/ (log y) (pow (+ x (+ z (* -1/2 (log y)))) 2))) (/ 1 (pow (+ x (+ z (* -1/2 (log y)))) 2))))) (+ x (+ z (* -1/2 (log y))))) (+ (* -1 (/ (log y) (pow (+ x (+ z (* -1/2 (log y)))) 2))) (/ 1 (pow (+ x (+ z (* -1/2 (log y)))) 2))))) (/ 1 (+ x (+ z (* -1/2 (log y)))))) |
(+ (* y (- (* y (- (* -1 (/ (* y (* (pow (+ 1 (* -1 (log y))) 2) (+ (* -1 (/ (log y) (pow (+ x (+ z (* -1/2 (log y)))) 2))) (/ 1 (pow (+ x (+ z (* -1/2 (log y)))) 2))))) (pow (+ x (+ z (* -1/2 (log y)))) 2))) (* -1 (/ (* (+ 1 (* -1 (log y))) (+ (* -1 (/ (log y) (pow (+ x (+ z (* -1/2 (log y)))) 2))) (/ 1 (pow (+ x (+ z (* -1/2 (log y)))) 2)))) (+ x (+ z (* -1/2 (log y)))))))) (+ (* -1 (/ (log y) (pow (+ x (+ z (* -1/2 (log y)))) 2))) (/ 1 (pow (+ x (+ z (* -1/2 (log y)))) 2))))) (/ 1 (+ x (+ z (* -1/2 (log y)))))) |
(/ 1 (* y (+ 1 (log (/ 1 y))))) |
(/ (+ (* -1 (/ (+ (* 1/2 (/ (log (/ 1 y)) (pow (+ 1 (log (/ 1 y))) 2))) (+ (/ x (pow (+ 1 (log (/ 1 y))) 2)) (/ z (pow (+ 1 (log (/ 1 y))) 2)))) y)) (/ 1 (+ 1 (log (/ 1 y))))) y) |
(/ (- (+ (/ 1 (+ 1 (log (/ 1 y)))) (/ (* (+ x (+ z (* 1/2 (log (/ 1 y))))) (+ (* 1/2 (/ (log (/ 1 y)) (pow (+ 1 (log (/ 1 y))) 2))) (+ (/ x (pow (+ 1 (log (/ 1 y))) 2)) (/ z (pow (+ 1 (log (/ 1 y))) 2))))) (* (pow y 2) (+ 1 (log (/ 1 y)))))) (+ (* 1/2 (/ (log (/ 1 y)) (* y (pow (+ 1 (log (/ 1 y))) 2)))) (+ (/ x (* y (pow (+ 1 (log (/ 1 y))) 2))) (/ z (* y (pow (+ 1 (log (/ 1 y))) 2)))))) y) |
(/ (- (+ (* -1 (/ (* (pow (+ x (+ z (* 1/2 (log (/ 1 y))))) 2) (+ (* 1/2 (/ (log (/ 1 y)) (pow (+ 1 (log (/ 1 y))) 2))) (+ (/ x (pow (+ 1 (log (/ 1 y))) 2)) (/ z (pow (+ 1 (log (/ 1 y))) 2))))) (* (pow y 3) (pow (+ 1 (log (/ 1 y))) 2)))) (/ 1 (+ 1 (log (/ 1 y))))) (+ (* -1 (/ (* (+ x (+ z (* 1/2 (log (/ 1 y))))) (+ (* 1/2 (/ (log (/ 1 y)) (pow (+ 1 (log (/ 1 y))) 2))) (+ (/ x (pow (+ 1 (log (/ 1 y))) 2)) (/ z (pow (+ 1 (log (/ 1 y))) 2))))) (* (pow y 2) (+ 1 (log (/ 1 y)))))) (+ (* 1/2 (/ (log (/ 1 y)) (* y (pow (+ 1 (log (/ 1 y))) 2)))) (+ (/ x (* y (pow (+ 1 (log (/ 1 y))) 2))) (/ z (* y (pow (+ 1 (log (/ 1 y))) 2))))))) y) |
(/ -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (* y (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)))) (+ (/ 1 (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)) (+ (/ x (* y (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (/ z (* y (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)))))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (+ z (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (+ (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))))) (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (+ (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))))) y)) (/ 1 (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (+ z (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) 2) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (+ (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))))) (* y (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (* -1 (/ (* (+ x (+ z (* -1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (+ (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))))) (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))) y)) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (+ (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))))) y)) (/ 1 (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) y)) |
(/ 1 (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))) |
(+ (* -1 (/ x (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2))) (/ 1 (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))))) |
(+ (* x (- (/ x (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 3)) (/ 1 (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2)))) (/ 1 (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 4))) (/ 1 (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 3)))) (/ 1 (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2)))) (/ 1 (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) x))) x) |
(/ (- (+ 1 (/ (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2) (pow x 2))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (+ (/ y x) (/ z x)))) x) |
(/ (- (+ 1 (* -1 (/ (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 3) (pow x 3)))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (+ (* -1 (/ (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2) (pow x 2))) (+ (/ y x) (/ z x))))) x) |
(/ 1 x) |
(* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (+ (/ y x) (/ z x))) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2) x) (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 3) x) (pow (+ y (+ z (* -1 (* (log y) (+ 1/2 y))))) 2)) x)) (+ y (+ z (* -1 (* (log y) (+ 1/2 y)))))) x)) 1) x)) |
(/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) |
(+ (* -1 (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2))) (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))) |
(+ (* z (- (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3)) (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)))) (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))) |
(+ (* z (- (* z (+ (* -1 (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 4))) (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3)))) (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)))) (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))) |
(/ 1 z) |
(/ (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))) z) |
(/ (- (+ 1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) (pow z 2))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z)))) z) |
(/ (- (+ 1 (* -1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3) (pow z 3)))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (* -1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) (pow z 2))) (+ (/ x z) (/ y z))))) z) |
(/ 1 z) |
(* -1 (/ (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) z) (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3) z) (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)) z)) (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) z)) 1) z)) |
(- (+ x (* -1/2 (log y))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(* y (+ 1 (log (/ 1 y)))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
x |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(* -1 z) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* y (log y)) |
(* y (log y)) |
(* y (log y)) |
(* y (log y)) |
(* -1 (* y (log (/ 1 y)))) |
(* -1 (* y (log (/ 1 y)))) |
(* -1 (* y (log (/ 1 y)))) |
(* -1 (* y (log (/ 1 y)))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1/4 (log y)) |
(+ (* -1/4 (log y)) (* (pow y 2) (log y))) |
(+ (* -1/4 (log y)) (* (pow y 2) (log y))) |
(+ (* -1/4 (log y)) (* (pow y 2) (log y))) |
(* -1 (* (pow y 2) (log (/ 1 y)))) |
(* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2))))) |
(* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2))))) |
(* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2))))) |
(* (pow y 2) (+ (log -1) (* -1 (log (/ -1 y))))) |
(* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2)))))) |
(* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2)))))) |
(* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2)))))) |
| Outputs |
|---|
(- (+ x (* -1/2 (log y))) z) |
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) (-.f64 x z)) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(* y (+ 1 (log (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y)) (-.f64 #s(literal 1 binary64) (log.f64 y))) (/.f64 z y)) y) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y)) (-.f64 #s(literal 1 binary64) (log.f64 y))) (/.f64 z y)) y) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y)) (-.f64 #s(literal 1 binary64) (log.f64 y))) (/.f64 z y)) y) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(neg.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y (neg.f64 y))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(*.f64 (neg.f64 y) (-.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal -1/2 binary64) (-.f64 x z)) y)) #s(literal 1 binary64))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(*.f64 (neg.f64 y) (-.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal -1/2 binary64) (-.f64 x z)) y)) #s(literal 1 binary64))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(*.f64 (neg.f64 y) (-.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal -1/2 binary64) (-.f64 x z)) y)) #s(literal 1 binary64))) |
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) |
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
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(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y)) (-.f64 #s(literal 1 binary64) (log.f64 y))) (/.f64 z y)) y) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) y)) (-.f64 #s(literal 1 binary64) (log.f64 y))) (/.f64 z y)) y) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(neg.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y (neg.f64 y))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(*.f64 (neg.f64 y) (-.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal -1/2 binary64) (-.f64 x z)) y)) #s(literal 1 binary64))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(*.f64 (neg.f64 y) (-.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal -1/2 binary64) (-.f64 x z)) y)) #s(literal 1 binary64))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(*.f64 (neg.f64 y) (-.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal -1/2 binary64) (-.f64 x z)) y)) #s(literal 1 binary64))) |
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) |
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
x |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)) x) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)) x) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)) x) |
x |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) (neg.f64 x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) (neg.f64 x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) (neg.f64 x)) #s(literal 1 binary64))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(fma.f64 (log.f64 y) (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (+.f64 y x)) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 x z)) (fma.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) #s(literal 1 binary64))) z) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 x z)) (fma.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) #s(literal 1 binary64))) z) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 x z)) (fma.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) #s(literal 1 binary64))) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(neg.f64 (fma.f64 (neg.f64 z) (/.f64 (fma.f64 (log.f64 y) (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (+.f64 y x)) z) z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(neg.f64 (fma.f64 (neg.f64 z) (/.f64 (fma.f64 (log.f64 y) (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (+.f64 y x)) z) z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(neg.f64 (fma.f64 (neg.f64 z) (/.f64 (fma.f64 (log.f64 y) (-.f64 (neg.f64 y) #s(literal 1/2 binary64)) (+.f64 y x)) z) z)) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(* y (log y)) |
(*.f64 (log.f64 y) y) |
(* y (log y)) |
(*.f64 (log.f64 y) y) |
(* y (log y)) |
(*.f64 (log.f64 y) y) |
(* y (log y)) |
(*.f64 (log.f64 y) y) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 (log.f64 y) y) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 (log.f64 y) y) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 (log.f64 y) y) |
(* -1 (* y (log (/ 1 y)))) |
(*.f64 (log.f64 y) y) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) |
(* y (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y) |
(* -1/4 (log y)) |
(*.f64 #s(literal -1/4 binary64) (log.f64 y)) |
(+ (* -1/4 (log y)) (* (pow y 2) (log y))) |
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) |
(+ (* -1/4 (log y)) (* (pow y 2) (log y))) |
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) |
(+ (* -1/4 (log y)) (* (pow y 2) (log y))) |
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) |
(* -1 (* (pow y 2) (log (/ 1 y)))) |
(*.f64 (*.f64 (log.f64 y) y) y) |
(* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 y)) (*.f64 y y)) #s(literal 1/4 binary64) (log.f64 y)) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 y)) (*.f64 y y)) #s(literal 1/4 binary64) (log.f64 y)) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 y)) (*.f64 y y)) #s(literal 1/4 binary64) (log.f64 y)) (*.f64 y y)) |
(* (pow y 2) (+ (log -1) (* -1 (log (/ -1 y))))) |
(*.f64 (*.f64 y y) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2)))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (*.f64 y y)) #s(literal -1/4 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (*.f64 y y)) |
(* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2)))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (*.f64 y y)) #s(literal -1/4 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (*.f64 y y)) |
(* (pow y 2) (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow y 2)))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (*.f64 y y)) #s(literal -1/4 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (*.f64 y y)) |
| 1 962× | lower-fma.f32 |
| 1 959× | lower-fma.f64 |
| 1 698× | lower-*.f32 |
| 1 692× | lower-*.f64 |
| 1 367× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 299 |
| 0 | 82 | 324 |
| 1 | 420 | 228 |
| 2 | 4560 | 228 |
| 0 | 8181 | 226 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) |
(*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) |
(-.f64 #s(literal -1/2 binary64) y) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
(+.f64 #s(literal 0 binary64) z) |
(-.f64 #s(literal 0 binary64) (*.f64 z z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) |
(-.f64 #s(literal 1 binary64) (log.f64 y)) |
(log.f64 y) |
(-.f64 (-.f64 x (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y)) z) |
(-.f64 x (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y)) |
(-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y) |
#s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) |
(-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) |
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) |
(+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) |
(*.f64 z z) |
(*.f64 (log.f64 y) y) |
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (*.f64 (-.f64 (+.f64 x y) z) (-.f64 (+.f64 x y) z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 y z)) x))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 (+.f64 x y) z) (-.f64 (+.f64 x y) z)) (-.f64 (+.f64 x y) z) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 x y) z) (-.f64 (-.f64 (+.f64 x y) z) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 (+.f64 x y) z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 (+.f64 x y) z)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (+.f64 x y) z))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (+.f64 x y) z)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (+.f64 x y) z)))) #s(literal 1 binary64)) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 (+.f64 x y) z))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 (+.f64 x y) z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 (+.f64 x y) z)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (*.f64 (-.f64 (+.f64 x y) z) (-.f64 (+.f64 x y) z))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) (-.f64 y z)) x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (+.f64 x y) z)) (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 (+.f64 x y) z) (-.f64 (+.f64 x y) z)) (-.f64 (+.f64 x y) z) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 x y) z) (-.f64 (-.f64 (+.f64 x y) z) (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y))) (pow.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (+.f64 x y) z))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (+.f64 x y) z))) #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 1 binary64))) |
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(fma.f64 (pow.f64 (/.f64 (*.f64 z z) (*.f64 (neg.f64 z) z)) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (neg.f64 z)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 z) z)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 z z)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) z) #s(literal 0 binary64)) |
(fma.f64 (*.f64 z z) (pow.f64 (/.f64 z z) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 z (-.f64 z #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 z z #s(literal 0 binary64)) |
(-.f64 (*.f64 z z) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z)) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) |
(+.f64 (*.f64 z z) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 z z)) |
(*.f64 (log.f64 y) y) |
(*.f64 y (log.f64 y)) |
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) |
(*.f64 (log.f64 y) (fma.f64 y y #s(literal -1/4 binary64))) |
(/.f64 (*.f64 (log.f64 y) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1/16 binary64))) (fma.f64 y y #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (log.f64 y) (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal -1/64 binary64))) (fma.f64 (*.f64 (*.f64 y y) y) y (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 y y) #s(literal -1/4 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1/16 binary64)) (log.f64 y)) (fma.f64 y y #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal -1/64 binary64)) (log.f64 y)) (fma.f64 (*.f64 (*.f64 y y) y) y (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 y y) #s(literal -1/4 binary64))))) |
(fma.f64 (*.f64 y y) (log.f64 y) (*.f64 #s(literal -1/4 binary64) (log.f64 y))) |
(fma.f64 #s(literal -1/4 binary64) (log.f64 y) (*.f64 (*.f64 y y) (log.f64 y))) |
(fma.f64 (log.f64 y) (*.f64 y y) (*.f64 (log.f64 y) #s(literal -1/4 binary64))) |
(fma.f64 (log.f64 y) #s(literal -1/4 binary64) (*.f64 (log.f64 y) (*.f64 y y))) |
(+.f64 (*.f64 (*.f64 y y) (log.f64 y)) (*.f64 #s(literal -1/4 binary64) (log.f64 y))) |
(+.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y)) (*.f64 (*.f64 y y) (log.f64 y))) |
(+.f64 (*.f64 (log.f64 y) (*.f64 y y)) (*.f64 (log.f64 y) #s(literal -1/4 binary64))) |
(+.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) (*.f64 (log.f64 y) (*.f64 y y))) |
Compiled 61 589 to 3 666 computations (94% saved)
31 alts after pruning (26 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 816 | 16 | 1 832 |
| Fresh | 2 | 10 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 820 | 31 | 1 851 |
| Status | Accuracy | Program |
|---|---|---|
| 69.0% | (fma.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)))) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z))) | |
| 80.4% | (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1/2 binary64))) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z))) | |
| 80.4% | (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (neg.f64 (/.f64 (log.f64 y) (-.f64 y #s(literal 1/2 binary64)))) (-.f64 (+.f64 x y) z)) | |
| ▶ | 28.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)))) |
| 27.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) | |
| 34.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z))) | |
| ✓ | 87.3% | (-.f64 (-.f64 x (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y)) z) |
| 69.0% | (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64)) (log.f64 y)) (+.f64 #s(literal 1/4 binary64) (*.f64 y (-.f64 y #s(literal 1/2 binary64)))))) y) z) | |
| ✓ | 80.0% | (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) |
| ▶ | 87.1% | (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) |
| 73.0% | (-.f64 #s(approx (- x (- (* (+ y 1/2) (log y)) y)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) | |
| ✓ | 61.2% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (neg.f64 y) (log.f64 y) y)) z) |
| 61.2% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 y (*.f64 (log.f64 y) y))) z) | |
| 81.4% | #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) z) z (neg.f64 z))) | |
| 66.3% | #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y))) | |
| ✓ | 28.7% | #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
| 28.6% | #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 y)))) y)) | |
| 3.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) | |
| 2.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z)) (*.f64 (*.f64 z z) (neg.f64 z)))) (+.f64 #s(literal 0 binary64) z))) | |
| 4.7% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)))) | |
| 2.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 (*.f64 z z) (*.f64 z z)))))) | |
| ▶ | 3.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
| 11.5% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z z))))) | |
| 14.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))) | |
| 4.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z))) | |
| 3.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) | |
| ▶ | 14.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
| ▶ | 3.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 z z) z))) |
| 4.7% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 z z) z)) (*.f64 z z))) | |
| 14.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (neg.f64 z) z))) | |
| ✓ | 34.6% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
Compiled 1 008 to 583 computations (42.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) | |
| cost-diff | 0 | #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)))) | |
| cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) | |
| cost-diff | 64 | (-.f64 #s(literal 0 binary64) (*.f64 z z)) | |
| cost-diff | 1024 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z)))) | |
| cost-diff | 2560 | (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))) | |
| cost-diff | 0 | (*.f64 (*.f64 z z) (*.f64 z z)) | |
| cost-diff | 0 | (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) | |
| cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 z z) z))) | |
| cost-diff | 2304 | (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 z z) z)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) z) | |
| cost-diff | 0 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) | |
| cost-diff | 1024 | (/.f64 (*.f64 (neg.f64 z) z) z) | |
| cost-diff | 0 | (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) | |
| cost-diff | 0 | (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) |
| 3 724× | lower-fma.f32 |
| 3 723× | lower-fma.f64 |
| 1 385× | lower-*.f32 |
| 1 378× | lower-*.f64 |
| 813× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 377 |
| 0 | 70 | 320 |
| 1 | 141 | 292 |
| 2 | 471 | 268 |
| 3 | 2742 | 268 |
| 4 | 4653 | 268 |
| 5 | 7006 | 268 |
| 0 | 8223 | 259 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) |
(+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) |
#s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(/.f64 (log.f64 y) x) |
(log.f64 y) |
x |
#s(literal 1 binary64) |
z |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
(/.f64 (*.f64 (neg.f64 z) z) z) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 z z) z))) |
(/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 z z) z)) |
(neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) |
(*.f64 (*.f64 z z) (*.f64 z z)) |
(*.f64 z z) |
z |
(*.f64 (*.f64 z z) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z)))) |
(-.f64 #s(literal 0 binary64) (*.f64 z z)) |
#s(literal 0 binary64) |
(*.f64 z z) |
z |
(/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))) |
(neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) |
(*.f64 (*.f64 z z) (*.f64 z z)) |
(*.f64 (neg.f64 z) (*.f64 z z)) |
(neg.f64 z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))) |
#s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) |
(-.f64 #s(literal 1 binary64) (log.f64 y)) |
(log.f64 y) |
y |
| Outputs |
|---|
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) |
(-.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) (-.f64 z y)) |
(+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) |
(+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) |
#s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) |
#s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) |
(-.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(/.f64 (log.f64 y) x) |
(log.f64 y) |
x |
#s(literal 1 binary64) |
z |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 z) z) z) |
(neg.f64 z) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 z z) z)) |
(neg.f64 z) |
(neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) |
(*.f64 (*.f64 (neg.f64 z) z) (*.f64 z z)) |
(*.f64 (*.f64 z z) (*.f64 z z)) |
(*.f64 (*.f64 (*.f64 z z) z) z) |
(*.f64 z z) |
z |
(*.f64 (*.f64 z z) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z)))) |
(neg.f64 z) |
(-.f64 #s(literal 0 binary64) (*.f64 z z)) |
(*.f64 (neg.f64 z) z) |
#s(literal 0 binary64) |
(*.f64 z z) |
z |
(/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))) |
z |
(neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) |
(*.f64 (*.f64 (neg.f64 z) z) (*.f64 z z)) |
(*.f64 (*.f64 z z) (*.f64 z z)) |
(*.f64 (*.f64 (*.f64 z z) z) z) |
(*.f64 (neg.f64 z) (*.f64 z z)) |
(*.f64 (*.f64 z z) (neg.f64 z)) |
(neg.f64 z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))) |
#s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) |
(-.f64 #s(literal 1 binary64) (log.f64 y)) |
(log.f64 y) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.19140625 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)))) | |
| accuracy | 0.29296875 | (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) | |
| accuracy | 0.666305268402292 | (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))) | |
| accuracy | 45.59188503535058 | #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) | |
| accuracy | 0.13671875 | (*.f64 (*.f64 z z) (*.f64 z z)) | |
| accuracy | 30.17633518708956 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z)))) | |
| accuracy | 41.85830677015159 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) | |
| accuracy | 46.867187842083005 | (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))) | |
| accuracy | 0.0859375 | (*.f64 (*.f64 z z) z) | |
| accuracy | 0.13671875 | (*.f64 (*.f64 z z) (*.f64 z z)) | |
| accuracy | 41.85830677015159 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 z z) z))) | |
| accuracy | 46.83341749892668 | (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 z z) z)) | |
| accuracy | 0 | (*.f64 (neg.f64 z) z) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 30.17633518708956 | (/.f64 (*.f64 (neg.f64 z) z) z) | |
| accuracy | 41.85830677015159 | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) | |
| accuracy | 0.05078125 | (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) | |
| accuracy | 0.08984375 | (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) | |
| accuracy | 0.2421875 | (/.f64 (log.f64 y) x) | |
| accuracy | 8.258541580040518 | (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x) |
| 92.0ms | 256× | 0 | valid |
Compiled 280 to 40 computations (85.7% saved)
ival-mult: 33.0ms (46.7% of total)ival-sub: 14.0ms (19.8% of total)ival-div: 11.0ms (15.6% of total)ival-add: 6.0ms (8.5% of total)ival-log: 3.0ms (4.2% of total)ival-neg: 2.0ms (2.8% of total)exact: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) (patch (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) (patch #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (neg.f64 z) z) z) (patch (/.f64 (*.f64 (neg.f64 z) z) z) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 z z) z)) (patch (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 z z) z)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 z z) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 z z) z))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (patch (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 z z) (*.f64 z z)) (patch (*.f64 (*.f64 z z) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))) (patch (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z)))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) (patch #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (log.f64 y) x) (patch (/.f64 (log.f64 y) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 z z) z) (patch (*.f64 (*.f64 z z) z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- y (+ z (* (log y) (+ 1/2 y)))) (taylor 0 x) (#s(alt (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) (+ z (* (log y) (+ 1/2 y)))) (taylor 0 x) (#s(alt (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) (+ z (* (log y) (+ 1/2 y)))) (taylor 0 x) (#s(alt (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) (+ z (* (log y) (+ 1/2 y)))) (taylor 0 x) (#s(alt (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) (taylor inf x) (#s(alt (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) (taylor inf x) (#s(alt (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) (taylor inf x) (#s(alt (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- x (+ z (* 1/2 (log y)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ())) ()) |
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#s(alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) (taylor inf y) (#s(alt (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ())) ()) |
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#s(alt (* y (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) #<representation binary64>) () ())) ()) |
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#s(alt (/ (log y) x) (taylor 0 y) (#s(alt (/.f64 (log.f64 y) x) (patch (/.f64 (log.f64 y) x) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (log -1) (* -1 (log (/ -1 y)))) x) (taylor -inf y) (#s(alt (/.f64 (log.f64 y) x) (patch (/.f64 (log.f64 y) x) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (log -1) (* -1 (log (/ -1 y)))) x) (taylor -inf y) (#s(alt (/.f64 (log.f64 y) x) (patch (/.f64 (log.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 y)))) x) (taylor -inf y) (#s(alt (/.f64 (log.f64 y) x) (patch (/.f64 (log.f64 y) x) #<representation binary64>) () ())) ()) |
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#s(alt (/ (log y) x) (taylor 0 x) (#s(alt (/.f64 (log.f64 y) x) (patch (/.f64 (log.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (log y) x) (taylor 0 x) (#s(alt (/.f64 (log.f64 y) x) (patch (/.f64 (log.f64 y) x) #<representation binary64>) () ())) ()) |
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#s(alt (/ (log y) x) (taylor inf x) (#s(alt (/.f64 (log.f64 y) x) (patch (/.f64 (log.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (log y) x) (taylor inf x) (#s(alt (/.f64 (log.f64 y) x) (patch (/.f64 (log.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (log y) x) (taylor inf x) (#s(alt (/.f64 (log.f64 y) x) (patch (/.f64 (log.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (log y) x) (taylor -inf x) (#s(alt (/.f64 (log.f64 y) x) (patch (/.f64 (log.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (log y) x) (taylor -inf x) (#s(alt (/.f64 (log.f64 y) x) (patch (/.f64 (log.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (log y) x) (taylor -inf x) (#s(alt (/.f64 (log.f64 y) x) (patch (/.f64 (log.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (log y) x) (taylor -inf x) (#s(alt (/.f64 (log.f64 y) x) (patch (/.f64 (log.f64 y) x) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* y (log (/ 1 y))) x) (taylor inf y) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* y (+ (* -1 (/ (log (/ -1 y)) x)) (+ (* -1 (/ (+ 1 (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (/ (log -1) x))))) (taylor -inf y) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ (log (/ -1 y)) x)) (+ (* -1 (/ (+ 1 (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (/ (log -1) x))))) (taylor -inf y) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow z 3) (taylor 0 z) (#s(alt (*.f64 (*.f64 z z) z) (patch (*.f64 (*.f64 z z) z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 3) (taylor 0 z) (#s(alt (*.f64 (*.f64 z z) z) (patch (*.f64 (*.f64 z z) z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 3) (taylor 0 z) (#s(alt (*.f64 (*.f64 z z) z) (patch (*.f64 (*.f64 z z) z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 3) (taylor 0 z) (#s(alt (*.f64 (*.f64 z z) z) (patch (*.f64 (*.f64 z z) z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 3) (taylor inf z) (#s(alt (*.f64 (*.f64 z z) z) (patch (*.f64 (*.f64 z z) z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 3) (taylor inf z) (#s(alt (*.f64 (*.f64 z z) z) (patch (*.f64 (*.f64 z z) z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 3) (taylor inf z) (#s(alt (*.f64 (*.f64 z z) z) (patch (*.f64 (*.f64 z z) z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 3) (taylor inf z) (#s(alt (*.f64 (*.f64 z z) z) (patch (*.f64 (*.f64 z z) z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 3) (taylor -inf z) (#s(alt (*.f64 (*.f64 z z) z) (patch (*.f64 (*.f64 z z) z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 3) (taylor -inf z) (#s(alt (*.f64 (*.f64 z z) z) (patch (*.f64 (*.f64 z z) z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 3) (taylor -inf z) (#s(alt (*.f64 (*.f64 z z) z) (patch (*.f64 (*.f64 z z) z) #<representation binary64>) () ())) ()) |
#s(alt (pow z 3) (taylor -inf z) (#s(alt (*.f64 (*.f64 z z) z) (patch (*.f64 (*.f64 z z) z) #<representation binary64>) () ())) ()) |
126 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | x | @ | 0 | (/ (log y) x) |
| 4.0ms | x | @ | inf | (/ (log y) x) |
| 2.0ms | x | @ | 0 | (* (+ (* (- -1/2 y) (/ (log y) x)) 1) x) |
| 1.0ms | y | @ | -inf | (* (+ (* (- -1/2 y) (/ (log y) x)) 1) x) |
| 1.0ms | y | @ | 0 | (* (+ (* (- -1/2 y) (/ (log y) x)) 1) x) |
| 1× | egg-herbie |
| 3 120× | lower-fma.f64 |
| 3 120× | lower-fma.f32 |
| 2 164× | lower-*.f64 |
| 2 164× | lower-*.f32 |
| 1 713× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 464 | 7059 |
| 1 | 1513 | 6661 |
| 2 | 5149 | 6474 |
| 0 | 8563 | 6215 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- y (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(- x (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(- y (* (log y) (+ 1/2 y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
x |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) |
(- x (* 1/2 (log y))) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
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(* -1 (/ (+ (* -1 (/ (- (+ (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (/ (* (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) (- (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))))) (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)))) y)) (/ 1 (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) y)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) 2) (- (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))))) (* y (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)))) (/ (* (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) (- (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))))) (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) y)) (/ z (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2))) (/ x (pow (- (+ (log -1) (* -1 (log (/ -1 y)))) 1) 2)))) y)) (/ 1 (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) y)) |
(/ 1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) |
(+ (* -1 (/ x (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2))) (/ 1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z))) |
(+ (* x (- (/ x (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 3)) (/ 1 (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2)))) (/ 1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 4))) (/ 1 (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 3)))) (/ 1 (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2)))) (/ 1 (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z))) |
(/ 1 x) |
(/ (- (+ 1 (/ z x)) (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) x) |
(/ (- (+ 1 (+ (* -1 (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) (pow x 2))) (/ z x))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) x) |
(/ (- (+ 1 (+ (/ z x) (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2)) (pow x 3)))) (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (+ (/ y x) (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) (pow x 2))))) x) |
(/ 1 x) |
(* -1 (/ (- (* -1 (/ (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) x))) (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2)) x)) (* -1 (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)))) x))) (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x)) |
(/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) |
(+ (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2))) |
(+ (* z (+ (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)) (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3)))) (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))) |
(+ (* z (+ (* z (+ (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3)) (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 4)))) (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)))) (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))) |
(/ -1 z) |
(/ (- (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)) 1) z) |
(/ (- (* -1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) (pow z 2))) (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))))) z) |
(/ (- (* -1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3) (pow z 3))) (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (+ (/ y z) (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) (pow z 2))))))) z) |
(/ -1 z) |
(* -1 (/ (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z)))) z)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) z)) (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) z))) z)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3) z) (* -1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2))) z)) (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) z))) z)) |
(- (+ x (* -1/2 (log y))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z) |
(* y (+ 1 (log (/ 1 y)))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
x |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(* -1 z) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(* y (- 1 (log y))) |
(* y (- 1 (log y))) |
(* y (- 1 (log y))) |
(* y (- 1 (log y))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(* y (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* y (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* y (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(* y (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(/ (log y) x) |
(/ (log y) x) |
(/ (log y) x) |
(/ (log y) x) |
(* -1 (/ (log (/ 1 y)) x)) |
(* -1 (/ (log (/ 1 y)) x)) |
(* -1 (/ (log (/ 1 y)) x)) |
(* -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) |
(/ (log y) x) |
(/ (log y) x) |
(/ (log y) x) |
(/ (log y) x) |
(/ (log y) x) |
(/ (log y) x) |
(/ (log y) x) |
(/ (log y) x) |
(/ (log y) x) |
(/ (log y) x) |
(/ (log y) x) |
(/ (log y) x) |
(+ 1 (* -1/2 (/ (log y) x))) |
(+ 1 (+ (* -1 (/ (* y (log y)) x)) (* -1/2 (/ (log y) x)))) |
(+ 1 (+ (* -1 (/ (* y (log y)) x)) (* -1/2 (/ (log y) x)))) |
(+ 1 (+ (* -1 (/ (* y (log y)) x)) (* -1/2 (/ (log y) x)))) |
(/ (* y (log (/ 1 y))) x) |
(* y (+ (* 1/2 (/ (log (/ 1 y)) (* x y))) (+ (/ 1 y) (/ (log (/ 1 y)) x)))) |
(* y (+ (* 1/2 (/ (log (/ 1 y)) (* x y))) (+ (/ 1 y) (/ (log (/ 1 y)) x)))) |
(* y (+ (* 1/2 (/ (log (/ 1 y)) (* x y))) (+ (/ 1 y) (/ (log (/ 1 y)) x)))) |
(* -1 (* y (+ (* -1 (/ (log (/ -1 y)) x)) (/ (log -1) x)))) |
(* -1 (* y (+ (* -1 (/ (log (/ -1 y)) x)) (+ (* -1 (/ (+ 1 (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (/ (log -1) x))))) |
(* -1 (* y (+ (* -1 (/ (log (/ -1 y)) x)) (+ (* -1 (/ (+ 1 (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (/ (log -1) x))))) |
(* -1 (* y (+ (* -1 (/ (log (/ -1 y)) x)) (+ (* -1 (/ (+ 1 (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (/ (log -1) x))))) |
(* -1 (/ (* (log y) (+ 1/2 y)) x)) |
(/ (+ x (* -1 (* (log y) (+ 1/2 y)))) x) |
(/ (+ x (* -1 (* (log y) (+ 1/2 y)))) x) |
(/ (+ x (* -1 (* (log y) (+ 1/2 y)))) x) |
1 |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
1 |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
(pow z 3) |
| Outputs |
|---|
(- y (+ z (* (log y) (+ 1/2 y)))) |
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(+.f64 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(+.f64 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
(- (+ x y) (+ z (* (log y) (+ 1/2 y)))) |
(+.f64 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
x |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(*.f64 (+.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) #s(literal 1 binary64)) x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(*.f64 (+.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) #s(literal 1 binary64)) x) |
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) |
(*.f64 (+.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) x) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) x) |
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) x) |
(- x (+ z (* 1/2 (log y)))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) (-.f64 x z)) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(+.f64 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(+.f64 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) |
(+.f64 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(*.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (log.f64 y) y) #s(literal -1/2 binary64) (neg.f64 (log.f64 y))) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64)) y) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(*.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (log.f64 y) y) #s(literal -1/2 binary64) (neg.f64 (log.f64 y))) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64)) y) |
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) |
(*.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (log.f64 y) y) #s(literal -1/2 binary64) (neg.f64 (log.f64 y))) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y y) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (-.f64 x z)) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (-.f64 x z)) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y) |
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (-.f64 x z)) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y) (+.f64 x y)) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(+.f64 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(+.f64 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) |
(+.f64 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(fma.f64 (+.f64 (/.f64 x z) (/.f64 (fma.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y) y) z)) z (neg.f64 z)) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(fma.f64 (+.f64 (/.f64 x z) (/.f64 (fma.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y) y) z)) z (neg.f64 z)) |
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) |
(fma.f64 (+.f64 (/.f64 x z) (/.f64 (fma.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y) y) z)) z (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) (neg.f64 y)) x) z) z z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) (neg.f64 y)) x) z) z z)) |
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) (neg.f64 y)) x) z) z z)) |
(- y (* (log y) (+ 1/2 y))) |
(fma.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y) y) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y) (+.f64 x y)) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y) (+.f64 x y)) |
(- (+ x y) (* (log y) (+ 1/2 y))) |
(fma.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y) (+.f64 x y)) |
x |
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) |
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(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(*.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (log.f64 y) y) #s(literal -1/2 binary64) (neg.f64 (log.f64 y))) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64)) y) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(*.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (log.f64 y) y) #s(literal -1/2 binary64) (neg.f64 (log.f64 y))) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64)) y) |
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y))) |
(*.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (log.f64 y) y) #s(literal -1/2 binary64) (neg.f64 (log.f64 y))) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64)) y) |
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1))) |
(fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y y) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (-.f64 x z)) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (-.f64 x z)) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y) |
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (-.f64 x z)) y) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y) |
(- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) |
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(+.f64 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(+.f64 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
(- (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) |
(+.f64 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
x |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(*.f64 (+.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) #s(literal 1 binary64)) x) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(*.f64 (+.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) #s(literal 1 binary64)) x) |
(* x (- (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) x)) (/ y x))) (/ z x))) |
(*.f64 (+.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) x) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) x) |
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x))) x) |
(+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) |
(fma.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y) (+.f64 x y)) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+.f64 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+.f64 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) |
(+.f64 (-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) y) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(fma.f64 (+.f64 (/.f64 x z) (/.f64 (fma.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y) y) z)) z (neg.f64 z)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(fma.f64 (+.f64 (/.f64 x z) (/.f64 (fma.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y) y) z)) z (neg.f64 z)) |
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) |
(fma.f64 (+.f64 (/.f64 x z) (/.f64 (fma.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) y)) (log.f64 y) y) z)) z (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) (neg.f64 y)) x) z) z z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) (neg.f64 y)) x) z) z z)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z))))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) (neg.f64 y)) x) z) z z)) |
(* y (- 1 (log y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) |
(* y (- 1 (log y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) |
(* y (- 1 (log y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) |
(* y (- 1 (log y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) |
(* y (- 1 (* -1 (log (/ 1 y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) |
(* y (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y y) |
(* y (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y y) |
(* y (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y y) |
(* y (- 1 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y y) |
(/ (log y) x) |
(/.f64 (log.f64 y) x) |
(/ (log y) x) |
(/.f64 (log.f64 y) x) |
(/ (log y) x) |
(/.f64 (log.f64 y) x) |
(/ (log y) x) |
(/.f64 (log.f64 y) x) |
(* -1 (/ (log (/ 1 y)) x)) |
(/.f64 (log.f64 y) x) |
(* -1 (/ (log (/ 1 y)) x)) |
(/.f64 (log.f64 y) x) |
(* -1 (/ (log (/ 1 y)) x)) |
(/.f64 (log.f64 y) x) |
(* -1 (/ (log (/ 1 y)) x)) |
(/.f64 (log.f64 y) x) |
(/ (+ (log -1) (* -1 (log (/ -1 y)))) x) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) |
(/ (+ (log -1) (* -1 (log (/ -1 y)))) x) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) |
(/ (+ (log -1) (* -1 (log (/ -1 y)))) x) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) |
(/ (+ (log -1) (* -1 (log (/ -1 y)))) x) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) |
(/ (log y) x) |
(/.f64 (log.f64 y) x) |
(/ (log y) x) |
(/.f64 (log.f64 y) x) |
(/ (log y) x) |
(/.f64 (log.f64 y) x) |
(/ (log y) x) |
(/.f64 (log.f64 y) x) |
(/ (log y) x) |
(/.f64 (log.f64 y) x) |
(/ (log y) x) |
(/.f64 (log.f64 y) x) |
(/ (log y) x) |
(/.f64 (log.f64 y) x) |
(/ (log y) x) |
(/.f64 (log.f64 y) x) |
(/ (log y) x) |
(/.f64 (log.f64 y) x) |
(/ (log y) x) |
(/.f64 (log.f64 y) x) |
(/ (log y) x) |
(/.f64 (log.f64 y) x) |
(/ (log y) x) |
(/.f64 (log.f64 y) x) |
(+ 1 (* -1/2 (/ (log y) x))) |
(fma.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* y (log y)) x)) (* -1/2 (/ (log y) x)))) |
(fma.f64 (neg.f64 y) (/.f64 (log.f64 y) x) (fma.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(+ 1 (+ (* -1 (/ (* y (log y)) x)) (* -1/2 (/ (log y) x)))) |
(fma.f64 (neg.f64 y) (/.f64 (log.f64 y) x) (fma.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(+ 1 (+ (* -1 (/ (* y (log y)) x)) (* -1/2 (/ (log y) x)))) |
(fma.f64 (neg.f64 y) (/.f64 (log.f64 y) x) (fma.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(/ (* y (log (/ 1 y))) x) |
(*.f64 (neg.f64 y) (/.f64 (log.f64 y) x)) |
(* y (+ (* 1/2 (/ (log (/ 1 y)) (* x y))) (+ (/ 1 y) (/ (log (/ 1 y)) x)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) (*.f64 x y)) y (fma.f64 (neg.f64 y) (/.f64 (log.f64 y) x) #s(literal 1 binary64))) |
(* y (+ (* 1/2 (/ (log (/ 1 y)) (* x y))) (+ (/ 1 y) (/ (log (/ 1 y)) x)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) (*.f64 x y)) y (fma.f64 (neg.f64 y) (/.f64 (log.f64 y) x) #s(literal 1 binary64))) |
(* y (+ (* 1/2 (/ (log (/ 1 y)) (* x y))) (+ (/ 1 y) (/ (log (/ 1 y)) x)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) (*.f64 x y)) y (fma.f64 (neg.f64 y) (/.f64 (log.f64 y) x) #s(literal 1 binary64))) |
(* -1 (* y (+ (* -1 (/ (log (/ -1 y)) x)) (/ (log -1) x)))) |
(*.f64 (neg.f64 y) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)) |
(* -1 (* y (+ (* -1 (/ (log (/ -1 y)) x)) (+ (* -1 (/ (+ 1 (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (/ (log -1) x))))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) y))) |
(* -1 (* y (+ (* -1 (/ (log (/ -1 y)) x)) (+ (* -1 (/ (+ 1 (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (/ (log -1) x))))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) y))) |
(* -1 (* y (+ (* -1 (/ (log (/ -1 y)) x)) (+ (* -1 (/ (+ 1 (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) x))) y)) (/ (log -1) x))))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) y))) |
(* -1 (/ (* (log y) (+ 1/2 y)) x)) |
(*.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x)) (log.f64 y)) |
(/ (+ x (* -1 (* (log y) (+ 1/2 y)))) x) |
(neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x) (log.f64 y) #s(literal -1 binary64))) |
(/ (+ x (* -1 (* (log y) (+ 1/2 y)))) x) |
(neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x) (log.f64 y) #s(literal -1 binary64))) |
(/ (+ x (* -1 (* (log y) (+ 1/2 y)))) x) |
(neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x) (log.f64 y) #s(literal -1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
(neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x) (log.f64 y) #s(literal -1 binary64))) |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
(neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x) (log.f64 y) #s(literal -1 binary64))) |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
(neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x) (log.f64 y) #s(literal -1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
(neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x) (log.f64 y) #s(literal -1 binary64))) |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
(neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x) (log.f64 y) #s(literal -1 binary64))) |
(+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) |
(neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) x) (log.f64 y) #s(literal -1 binary64))) |
(pow z 3) |
(*.f64 (*.f64 z z) z) |
(pow z 3) |
(*.f64 (*.f64 z z) z) |
(pow z 3) |
(*.f64 (*.f64 z z) z) |
(pow z 3) |
(*.f64 (*.f64 z z) z) |
(pow z 3) |
(*.f64 (*.f64 z z) z) |
(pow z 3) |
(*.f64 (*.f64 z z) z) |
(pow z 3) |
(*.f64 (*.f64 z z) z) |
(pow z 3) |
(*.f64 (*.f64 z z) z) |
(pow z 3) |
(*.f64 (*.f64 z z) z) |
(pow z 3) |
(*.f64 (*.f64 z z) z) |
(pow z 3) |
(*.f64 (*.f64 z z) z) |
(pow z 3) |
(*.f64 (*.f64 z z) z) |
| 3 147× | lower-*.f32 |
| 3 140× | lower-*.f64 |
| 2 152× | lower-fma.f32 |
| 2 151× | lower-fma.f64 |
| 1 817× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 326 |
| 0 | 70 | 269 |
| 1 | 333 | 245 |
| 2 | 2867 | 227 |
| 0 | 9478 | 218 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) |
(+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) |
#s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (neg.f64 z) z) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
(/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 z z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 z z) z))) |
(neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) |
(*.f64 (*.f64 z z) (*.f64 z z)) |
(/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z)))) |
(-.f64 #s(literal 0 binary64) (*.f64 z z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))) |
#s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) |
(/.f64 (log.f64 y) x) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 z z) z) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (/.f64 (log.f64 y) x) (-.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)) x)) y) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (/.f64 (log.f64 y) x) (-.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)) x)) (+.f64 z y)))) |
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 z z)) #s(literal 3 binary64)) (*.f64 (*.f64 z z) (neg.f64 z))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (neg.f64 z) z) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 z) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z)) (pow.f64 (/.f64 z (*.f64 (*.f64 z z) z)) #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z)) #s(literal 3 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64)) z) |
(*.f64 (/.f64 (*.f64 z z) #s(literal -1 binary64)) (neg.f64 z)) |
(*.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (pow.f64 (/.f64 (*.f64 z z) (*.f64 (*.f64 z z) (neg.f64 z))) #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (pow.f64 (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z))) #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (pow.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 z z) (neg.f64 z))) #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (neg.f64 z))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (neg.f64 z))) |
(*.f64 (*.f64 (neg.f64 z) z) (neg.f64 z)) |
(*.f64 (*.f64 (*.f64 z z) (neg.f64 z)) (pow.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 z z)) #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 z z) z) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 (*.f64 z z) z) |
(*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) |
(*.f64 z (*.f64 z z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z)) |
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -3 binary64)) |
(pow.f64 (*.f64 z z) #s(literal 3/2 binary64)) |
(pow.f64 z #s(literal 3 binary64)) |
(/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z z) (neg.f64 z)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 z z) z) z) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z)) |
(/.f64 (pow.f64 (*.f64 (*.f64 z z) (neg.f64 z)) #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z))) |
(/.f64 (pow.f64 (/.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z z) (neg.f64 z)) #s(literal 3 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z)) #s(literal -1 binary64)) z) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z))) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z))) |
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z)) |
(/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z)) (neg.f64 z)) |
(/.f64 (*.f64 (*.f64 (*.f64 z z) z) z) z) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z)))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z)) z)) |
(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (neg.f64 z))) |
(neg.f64 (*.f64 (*.f64 z z) (neg.f64 z))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (neg.f64 z))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) (neg.f64 z))) |
(exp.f64 (*.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 3 binary64))) |
Compiled 30 724 to 2 277 computations (92.6% saved)
49 alts after pruning (41 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 417 | 24 | 1 441 |
| Fresh | 4 | 17 | 21 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 423 | 49 | 1 472 |
| Status | Accuracy | Program |
|---|---|---|
| 69.0% | (fma.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)))) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z))) | |
| 80.4% | (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1/2 binary64))) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z))) | |
| 80.4% | (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (neg.f64 (/.f64 (log.f64 y) (-.f64 y #s(literal 1/2 binary64)))) (-.f64 (+.f64 x y) z)) | |
| ✓ | 28.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)))) |
| 27.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) | |
| 34.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z))) | |
| ✓ | 87.3% | (-.f64 (-.f64 x (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y)) z) |
| ✓ | 80.0% | (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) |
| 87.0% | (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 x (log.f64 y))) #s(literal 1 binary64)) x)) y) z) | |
| 48.4% | (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 #s(approx (+ (* (- -1/2 y) (/ (log y) x)) 1) (*.f64 (neg.f64 y) (/.f64 (log.f64 y) x))) x)) y) z) | |
| 59.8% | (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 #s(approx (+ (* (- -1/2 y) (/ (log y) x)) 1) #s(literal 1 binary64)) x)) y) z) | |
| 73.0% | (-.f64 #s(approx (- x (- (* (+ y 1/2) (log y)) y)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) | |
| ✓ | 61.2% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (neg.f64 y) (log.f64 y) y)) z) |
| 61.2% | (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 y (*.f64 (log.f64 y) y))) z) | |
| 81.4% | #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) z) z (neg.f64 z))) | |
| 66.3% | #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y))) | |
| ✓ | 28.7% | #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
| 28.6% | #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 y)))) y)) | |
| 2.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) | |
| 2.3% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z))) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) | |
| 3.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z)) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) | |
| 3.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) | |
| 4.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)))) | |
| 2.4% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z)) (*.f64 (*.f64 z z) (neg.f64 z)))) (+.f64 #s(literal 0 binary64) z))) | |
| 4.7% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)))) | |
| 2.1% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 (*.f64 z z) z) z))) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) | |
| 2.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) | |
| 3.7% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) | |
| 3.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z))) (*.f64 z z))))) | |
| 11.5% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z z))))) | |
| 14.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))) | |
| 3.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z))))) | |
| 14.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) z)) | |
| 2.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 z z) (neg.f64 z))) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z)))) | |
| 4.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (neg.f64 z)) (*.f64 z z))) | |
| 3.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) | |
| ✓ | 14.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
| 2.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z)))) | |
| 2.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) (neg.f64 z))))) | |
| ✓ | 3.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 z z) z))) |
| 3.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) | |
| 4.7% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 z z) z)) (*.f64 z z))) | |
| 3.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z))) (/.f64 z (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z))))) | |
| 4.8% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 (*.f64 z z) z))) | |
| 14.0% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) | |
| 11.5% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (neg.f64 z) z)) z)) | |
| 3.2% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)))) | |
| 4.7% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z))))) | |
| ✓ | 34.6% | #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
Compiled 2 116 to 731 computations (65.5% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 #s(approx (+ (* (- -1/2 y) (/ (log y) x)) 1) #s(literal 1 binary64)) x)) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (neg.f64 z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (neg.f64 z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (neg.f64 z) z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 z z) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 z z) (neg.f64 z))) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z)) (*.f64 (*.f64 z z) (neg.f64 z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z))) (/.f64 z (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) (neg.f64 z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 (*.f64 z z) (*.f64 z z)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z)) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z))) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z))) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 (*.f64 z z) z) z))) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (neg.f64 y) (log.f64 y) y)) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
(-.f64 #s(approx (- x (- (* (+ y 1/2) (log y)) y)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 y (*.f64 (log.f64 y) y))) z) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (neg.f64 y) (log.f64 y) y)) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y))) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y))) |
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (neg.f64 y) (log.f64 y))) y) z) |
(-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) |
(-.f64 (-.f64 x (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y)) z) |
(-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) |
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 #s(approx (+ (* (- -1/2 y) (/ (log y) x)) 1) (*.f64 (neg.f64 y) (/.f64 (log.f64 y) x))) x)) y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)))) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) z) z (neg.f64 z))) |
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z) |
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) |
(fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (neg.f64 (/.f64 (log.f64 y) (-.f64 y #s(literal 1/2 binary64)))) (-.f64 (+.f64 x y) z)) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) |
(fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1/2 binary64))) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z))) |
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 x (log.f64 y))) #s(literal 1 binary64)) x)) y) z) |
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64)) (log.f64 y)) (+.f64 #s(literal 1/4 binary64) (*.f64 y (-.f64 y #s(literal 1/2 binary64)))))) y) z) |
(fma.f64 (fma.f64 (*.f64 y y) y #s(literal 1/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)))) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z))) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 y)))) y)) |
(*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (+.f64 y z)))))) |
| Outputs |
|---|
(-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) |
5 calls:
| 21.0ms | z |
| 20.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 19.0ms | x |
| 19.0ms | y |
| 18.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 99.9% | 1 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
Compiled 40 to 28 computations (30% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 #s(approx (+ (* (- -1/2 y) (/ (log y) x)) 1) #s(literal 1 binary64)) x)) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (neg.f64 z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (neg.f64 z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (neg.f64 z) z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 z z) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 z z) (neg.f64 z))) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z)) (*.f64 (*.f64 z z) (neg.f64 z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z))) (/.f64 z (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) (neg.f64 z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 (*.f64 z z) (*.f64 z z)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z)) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z))) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z))) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 (*.f64 z z) z) z))) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (neg.f64 y) (log.f64 y) y)) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
(-.f64 #s(approx (- x (- (* (+ y 1/2) (log y)) y)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 y (*.f64 (log.f64 y) y))) z) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (neg.f64 y) (log.f64 y) y)) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y))) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y))) |
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (neg.f64 y) (log.f64 y))) y) z) |
(-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) |
(-.f64 (-.f64 x (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y)) z) |
| Outputs |
|---|
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
(-.f64 (-.f64 x (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y)) z) |
5 calls:
| 18.0ms | y |
| 16.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 15.0ms | x |
| 14.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 14.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.3% | 1 | x |
| 99.5% | 2 | y |
| 99.3% | 3 | z |
| 99.3% | 2 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 99.3% | 2 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
Compiled 40 to 28 computations (30% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 #s(approx (+ (* (- -1/2 y) (/ (log y) x)) 1) #s(literal 1 binary64)) x)) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (neg.f64 z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (neg.f64 z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (neg.f64 z) z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 z z) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 z z) (neg.f64 z))) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z)) (*.f64 (*.f64 z z) (neg.f64 z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z))) (/.f64 z (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) (neg.f64 z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 (*.f64 z z) (*.f64 z z)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z)) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z))) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z))) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 (*.f64 z z) z) z))) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (neg.f64 y) (log.f64 y) y)) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
(-.f64 #s(approx (- x (- (* (+ y 1/2) (log y)) y)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 y (*.f64 (log.f64 y) y))) z) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (neg.f64 y) (log.f64 y) y)) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y))) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y))) |
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (neg.f64 y) (log.f64 y))) y) z) |
(-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) |
| Outputs |
|---|
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
(-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) |
1 calls:
| 14.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 2 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 #s(approx (+ (* (- -1/2 y) (/ (log y) x)) 1) #s(literal 1 binary64)) x)) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (neg.f64 z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (neg.f64 z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (neg.f64 z) z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 z z) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 z z) (neg.f64 z))) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z)) (*.f64 (*.f64 z z) (neg.f64 z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z))) (/.f64 z (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) (neg.f64 z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 (*.f64 z z) (*.f64 z z)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z)) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z))) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z))) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 (*.f64 z z) z) z))) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (neg.f64 y) (log.f64 y) y)) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
(-.f64 #s(approx (- x (- (* (+ y 1/2) (log y)) y)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 y (*.f64 (log.f64 y) y))) z) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (neg.f64 y) (log.f64 y) y)) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y))) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y))) |
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (neg.f64 y) (log.f64 y))) y) z) |
| Outputs |
|---|
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y))) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 y (*.f64 (log.f64 y) y))) z) |
4 calls:
| 28.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 13.0ms | z |
| 13.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 13.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.7% | 3 | z |
| 87.7% | 2 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 93.7% | 3 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 92.1% | 2 | y |
Compiled 36 to 25 computations (30.6% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 #s(approx (+ (* (- -1/2 y) (/ (log y) x)) 1) #s(literal 1 binary64)) x)) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (neg.f64 z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (neg.f64 z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (neg.f64 z) z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 z z) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 z z) (neg.f64 z))) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z)) (*.f64 (*.f64 z z) (neg.f64 z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z))) (/.f64 z (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) (neg.f64 z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 (*.f64 z z) (*.f64 z z)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z)) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z))) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z))) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 (*.f64 z z) z) z))) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (neg.f64 y) (log.f64 y) y)) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
(-.f64 #s(approx (- x (- (* (+ y 1/2) (log y)) y)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 y (*.f64 (log.f64 y) y))) z) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (neg.f64 y) (log.f64 y) y)) z) |
| Outputs |
|---|
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (neg.f64 y) (log.f64 y) y)) z) |
3 calls:
| 19.0ms | z |
| 15.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 13.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.7% | 2 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 90.8% | 2 | y |
| 73.0% | 1 | z |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 #s(approx (+ (* (- -1/2 y) (/ (log y) x)) 1) #s(literal 1 binary64)) x)) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (neg.f64 z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (neg.f64 z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (neg.f64 z) z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 z z) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 z z) (neg.f64 z))) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z)) (*.f64 (*.f64 z z) (neg.f64 z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z))) (/.f64 z (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) (neg.f64 z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 (*.f64 z z) (*.f64 z z)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z)) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z))) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z))) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 (*.f64 z z) z) z))) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (neg.f64 y) (log.f64 y) y)) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
(-.f64 #s(approx (- x (- (* (+ y 1/2) (log y)) y)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 y (*.f64 (log.f64 y) y))) z) |
| Outputs |
|---|
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 y (*.f64 (log.f64 y) y))) z) |
1 calls:
| 12.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.8% | 2 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 #s(approx (+ (* (- -1/2 y) (/ (log y) x)) 1) #s(literal 1 binary64)) x)) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (neg.f64 z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (neg.f64 z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (neg.f64 z) z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 z z) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 z z) (neg.f64 z))) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z)) (*.f64 (*.f64 z z) (neg.f64 z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z))) (/.f64 z (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) (neg.f64 z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 (*.f64 z z) (*.f64 z z)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z)) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z))) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z))) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 (*.f64 z z) z) z))) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (neg.f64 y) (log.f64 y) y)) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
(-.f64 #s(approx (- x (- (* (+ y 1/2) (log y)) y)) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z) |
| Outputs |
|---|
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (neg.f64 y) (log.f64 y) y)) |
2 calls:
| 14.0ms | x |
| 12.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.1% | 3 | x |
| 88.7% | 2 | y |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 #s(approx (+ (* (- -1/2 y) (/ (log y) x)) 1) #s(literal 1 binary64)) x)) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (neg.f64 z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (neg.f64 z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (neg.f64 z) z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 z z) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 z z) (neg.f64 z))) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z)) (*.f64 (*.f64 z z) (neg.f64 z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z))) (/.f64 z (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) (neg.f64 z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 (*.f64 z z) (*.f64 z z)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z)) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z))) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z))) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 (*.f64 z z) z) z))) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (neg.f64 y) (log.f64 y) y)) |
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) |
| Outputs |
|---|
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 #s(approx (+ (* (- -1/2 y) (/ (log y) x)) 1) #s(literal 1 binary64)) x)) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (neg.f64 y) (log.f64 y) y)) |
3 calls:
| 18.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 12.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.8% | 4 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 69.5% | 2 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 76.0% | 2 | y |
Compiled 32 to 22 computations (31.3% saved)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 #s(approx (+ (* (- -1/2 y) (/ (log y) x)) 1) #s(literal 1 binary64)) x)) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (neg.f64 z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 z z) (neg.f64 z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (neg.f64 z) z)) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) z)) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 z z) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (fma.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 z z) (neg.f64 z))) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (neg.f64 z) z)) (*.f64 (*.f64 z z) (neg.f64 z)))) (+.f64 #s(literal 0 binary64) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z))) (/.f64 z (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z)))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) (neg.f64 z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 (*.f64 z z) (*.f64 z z)))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z)) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (*.f64 z z) z))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 z z) z) (neg.f64 z))) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z))) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 z z) z) z) (*.f64 (*.f64 (*.f64 z z) z) z))) (*.f64 (*.f64 (*.f64 z z) z) z)) (*.f64 (neg.f64 z) (*.f64 z z))))) |
| Outputs |
|---|
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 #s(approx (+ (* (- -1/2 y) (/ (log y) x)) 1) #s(literal 1 binary64)) x)) y) z) |
5 calls:
| 15.0ms | y |
| 15.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 15.0ms | z |
| 11.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.8% | 1 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 59.8% | 1 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 59.8% | 1 | z |
| 59.8% | 1 | x |
| 59.8% | 1 | y |
Compiled 40 to 28 computations (30% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| Outputs |
|---|
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
5 calls:
| 1.0ms | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
| 1.0ms | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.6% | 1 | y |
| 34.6% | 1 | x |
| 34.6% | 1 | z |
| 34.6% | 1 | (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) |
| 34.6% | 1 | (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) |
Compiled 40 to 28 computations (30% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.934503536469678e-5 | 0.0012157424853052776 |
| 13.0ms | 112× | 0 | valid |
Compiled 207 to 135 computations (34.8% saved)
ival-mult: 6.0ms (60.7% of total)ival-sub: 1.0ms (10.1% of total)ival-log: 1.0ms (10.1% of total)ival-add: 1.0ms (10.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.934503536469678e-5 | 0.0012157424853052776 |
Compiled 207 to 135 computations (34.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 1.2332412760483035e+53 | 1.598138820305476e+62 |
| 9.0ms | -2.4190834660486163e+98 | -1.7352402078504645e+97 |
| 19.0ms | 240× | 0 | valid |
Compiled 417 to 271 computations (35% saved)
ival-log: 3.0ms (32.3% of total)ival-sub: 2.0ms (21.5% of total)ival-add: 2.0ms (21.5% of total)ival-mult: 2.0ms (21.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 2.3083696939279505e+79 | 3.290750760408387e+79 |
| 4.0ms | 64× | 0 | valid |
Compiled 118 to 80 computations (32.2% saved)
ival-sub: 1.0ms (42.2% of total)ival-log: 1.0ms (42.2% of total)ival-add: 1.0ms (42.2% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.3083696939279505e+79 | 3.290750760408387e+79 |
Compiled 118 to 80 computations (32.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 5.381774995419882e+180 | 8.623388069186725e+181 |
| 7.0ms | 112× | 0 | valid |
Compiled 179 to 121 computations (32.4% saved)
ival-sub: 1.0ms (23.2% of total)ival-log: 1.0ms (23.2% of total)ival-add: 1.0ms (23.2% of total)ival-mult: 1.0ms (23.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 1.1558272999689984e+167 | 4.21308635688045e+173 |
| 9.0ms | 144× | 0 | valid |
Compiled 234 to 151 computations (35.5% saved)
ival-log: 2.0ms (36.1% of total)ival-sub: 1.0ms (18.1% of total)ival-add: 1.0ms (18.1% of total)ival-mult: 1.0ms (18.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 120× | unsub-neg_binary64 |
| 38× | neg-mul-1_binary64 |
| 38× | distribute-lft-neg-in_binary64 |
| 24× | +-commutative_binary64 |
| 24× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 371 |
| 1 | 102 | 371 |
| 2 | 132 | 371 |
| 3 | 153 | 371 |
| 4 | 194 | 371 |
| 5 | 232 | 371 |
| 6 | 286 | 371 |
| 7 | 392 | 371 |
| 8 | 481 | 371 |
| 9 | 482 | 371 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) |
(if (<=.f64 y #s(literal 5534023222112865/4611686018427387904 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (-.f64 (-.f64 x (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y)) z)) |
(if (<=.f64 y #s(literal 5534023222112865/4611686018427387904 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z)) |
(if (<=.f64 z #s(literal -49999999999999999884518512257185400348306273996201919460278431983048793274064838238955966239342592 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (if (<=.f64 z #s(literal 100000000000000009190283508143378238084034459715684532224 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y))) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 y (*.f64 (log.f64 y) y))) z))) |
(if (<=.f64 y #s(literal 25500000000000000730807520721964314065224052626440428512427435129415028397047808 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (neg.f64 y) (log.f64 y) y)) z)) |
(if (<=.f64 y #s(literal 25500000000000000730807520721964314065224052626440428512427435129415028397047808 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 y (*.f64 (log.f64 y) y))) z)) |
(if (<=.f64 y #s(literal 11200000000000000472134733471764550258980870376200155976769827483987163447544822468616429585404311049739930028527358096130891537663674798295808562695209368105816947277187076281335808 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (neg.f64 y) (log.f64 y) y))) |
(if (<=.f64 y #s(literal 230000000000000006575601698147604436153339171863476206434658807593410387541696185001775808366558405152356082079148729935675827140132139579804335025656033744978388184989696 binary64)) (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 #s(approx (+ (* (- -1/2 y) (/ (log y) x)) 1) #s(literal 1 binary64)) x)) y) z) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (neg.f64 y) (log.f64 y) y))) |
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 #s(approx (+ (* (- -1/2 y) (/ (log y) x)) 1) #s(literal 1 binary64)) x)) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| Outputs |
|---|
(-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) |
(-.f64 (+.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x) z) |
(if (<=.f64 y #s(literal 5534023222112865/4611686018427387904 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (-.f64 (-.f64 x (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y)) z)) |
(if (<=.f64 y #s(literal 5534023222112865/4611686018427387904 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z)) |
(if (<=.f64 z #s(literal -49999999999999999884518512257185400348306273996201919460278431983048793274064838238955966239342592 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (if (<=.f64 z #s(literal 100000000000000009190283508143378238084034459715684532224 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y))) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 y (*.f64 (log.f64 y) y))) z))) |
(if (<=.f64 z #s(literal -49999999999999999884518512257185400348306273996201919460278431983048793274064838238955966239342592 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (if (<=.f64 z #s(literal 100000000000000009190283508143378238084034459715684532224 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 y (*.f64 (log.f64 y) y))) z))) |
(if (<=.f64 y #s(literal 25500000000000000730807520721964314065224052626440428512427435129415028397047808 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (neg.f64 y) (log.f64 y) y)) z)) |
(if (<=.f64 y #s(literal 25500000000000000730807520721964314065224052626440428512427435129415028397047808 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 y (*.f64 (log.f64 y) y))) z)) |
(if (<=.f64 y #s(literal 11200000000000000472134733471764550258980870376200155976769827483987163447544822468616429585404311049739930028527358096130891537663674798295808562695209368105816947277187076281335808 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (neg.f64 y) (log.f64 y) y))) |
(if (<=.f64 y #s(literal 230000000000000006575601698147604436153339171863476206434658807593410387541696185001775808366558405152356082079148729935675827140132139579804335025656033744978388184989696 binary64)) (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 #s(approx (+ (* (- -1/2 y) (/ (log y) x)) 1) #s(literal 1 binary64)) x)) y) z) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (neg.f64 y) (log.f64 y) y))) |
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 #s(approx (+ (* (- -1/2 y) (/ (log y) x)) 1) #s(literal 1 binary64)) x)) y) z) |
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) |
| 6 405× | lower-fma.f64 |
| 6 405× | lower-fma.f32 |
| 4 507× | lower-fma.f64 |
| 4 507× | lower-fma.f32 |
| 3 284× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 192 |
| 0 | 53 | 188 |
| 1 | 284 | 185 |
| 2 | 2701 | 185 |
| 0 | 9662 | 185 |
| 0 | 10 | 38 |
| 0 | 16 | 38 |
| 1 | 79 | 38 |
| 2 | 699 | 38 |
| 0 | 8843 | 35 |
| 0 | 464 | 7059 |
| 1 | 1513 | 6661 |
| 2 | 5149 | 6474 |
| 0 | 8563 | 6215 |
| 0 | 127 | 1322 |
| 1 | 415 | 1240 |
| 2 | 1319 | 1149 |
| 3 | 4703 | 1118 |
| 0 | 8535 | 1035 |
| 0 | 446 | 7116 |
| 1 | 1450 | 6667 |
| 2 | 4871 | 6484 |
| 0 | 8162 | 6083 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 501 to 247 computations (50.7% saved)
Compiled 436 to 140 computations (67.9% saved)
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